From 94524b5192d31c1c3b83001de701c1760108029c Mon Sep 17 00:00:00 2001 From: Xavier Dupre Date: Sat, 19 Aug 2023 11:09:14 +0200 Subject: [PATCH 01/17] Adds notebook on numpy and pandas --- .gitignore | 2 + _data/marathon.txt | 359 ++ _doc/c_data/dataframes.rst | 4 +- _doc/c_data/matrices.rst | 5 +- _doc/c_data/nb_array.ipynb | 2832 +++++++++++ _doc/c_data/nb_dataframe.ipynb | 4300 +++++++++++++++++ _doc/c_data/nb_numpy.ipynb | 950 ++++ _doc/c_data/patates.png | Bin 0 -> 20007 bytes _doc/c_data/td10exc.png | Bin 0 -> 14004 bytes _doc/c_data/td2df.png | Bin 0 -> 16388 bytes _unittests/ut_tools/test_data_helper.py | 2 +- .../test_documentation_notebook.py | 1 + requirements-dev.txt | 1 + teachpyx/practice/rues_paris.py | 2 +- 14 files changed, 8454 insertions(+), 4 deletions(-) create mode 100644 _data/marathon.txt create mode 100644 _doc/c_data/nb_array.ipynb create mode 100644 _doc/c_data/nb_dataframe.ipynb create mode 100644 _doc/c_data/nb_numpy.ipynb create mode 100644 _doc/c_data/patates.png create mode 100644 _doc/c_data/td10exc.png create mode 100644 _doc/c_data/td2df.png diff --git a/.gitignore b/.gitignore index 4b980d44..0c12f120 100644 --- a/.gitignore +++ b/.gitignore @@ -29,3 +29,5 @@ _doc/examples/*.html _doc/_static/require.js _doc/_static/viz.js _doc/practice/algo-compose/paris_54000.* +_doc/c_data/*.txt +_doc/c_data/*.xlsx diff --git a/_data/marathon.txt b/_data/marathon.txt new file mode 100644 index 00000000..99b3c23f --- /dev/null +++ b/_data/marathon.txt @@ -0,0 +1,359 @@ +PARIS 2011 02:06:29 7589 +PARIS 2010 02:06:41 7601 +PARIS 2009 02:05:47 7547 +PARIS 2008 02:06:40 7600 +PARIS 2007 02:07:17 7637 +PARIS 2006 02:08:03 7683 +PARIS 2005 02:08:02 7682 +PARIS 2004 02:08:56 7736 +PARIS 2003 02:06:33 7593 +PARIS 2002 02:08:18 7698 +PARIS 2001 02:09:40 7780 +PARIS 2000 02:08:49 7729 +PARIS 1999 02:08:10 7690 +PARIS 1998 02:09:37 7777 +PARIS 1997 02:10:14 7814 +PARIS 1996 02:12:18 7938 +PARIS 1995 02:10:06 7806 +PARIS 1994 02:10:56 7856 +PARIS 1993 02:10:46 7846 +PARIS 1992 02:10:03 7803 +PARIS 1990 02:13:10 7990 +PARIS 1989 02:13:03 7983 +PARIS 1988 02:13:53 8033 +PARIS 1987 02:11:09 7869 +PARIS 1986 02:12:44 7964 +PARIS 1985 02:10:49 7849 +PARIS 1984 02:11:58 7918 +PARIS 1983 02:12:38 7958 +PARIS 1982 02:14:07 8047 +PARIS 1981 02:11:44 7904 +PARIS 1980 02:25:50 8750 +PARIS 1979 02:18:53 8333 +PARIS 1978 02:34:55 9295 +PARIS 1977 02:30:41 9041 +PARIS 1976 02:20:57 8457 +BERLIN 2011 02:03:38 7418 +BERLIN 2010 02:05:08 7508 +BERLIN 2009 02:06:08 7568 +BERLIN 2008 02:03:59 7439 +BERLIN 2007 02:04:26 7466 +BERLIN 2006 02:05:56 7556 +BERLIN 2005 02:07:41 7661 +BERLIN 2004 02:06:44 7604 +BERLIN 2003 02:04:55 7495 +BERLIN 2002 02:06:47 7607 +BERLIN 2001 02:08:47 7727 +BERLIN 2000 02:07:42 7662 +BERLIN 1999 02:06:44 7604 +BERLIN 1998 02:06:05 7565 +BERLIN 1997 02:07:41 7661 +BERLIN 1996 02:09:15 7755 +BERLIN 1995 02:07:02 7622 +BERLIN 1994 02:08:31 7711 +BERLIN 1993 02:10:57 7857 +BERLIN 1992 02:08:07 7687 +BERLIN 1991 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+CHICAGO 1991 02:14:33 8073 +CHICAGO 1992 02:16:14 8174 +CHICAGO 1993 02:13:14 7994 +CHICAGO 1994 02:11:16 7876 +CHICAGO 1995 02:11:18 7878 +CHICAGO 1996 02:08:52 7732 +CHICAGO 1997 02:07:10 7630 +CHICAGO 1998 02:06:54 7614 +CHICAGO 1999 02:05:42 7542 +CHICAGO 2000 02:07:01 7621 +CHICAGO 2001 02:08:52 7732 +CHICAGO 2002 02:05:56 7556 +CHICAGO 2003 02:05:50 7550 +CHICAGO 2004 02:06:16 7576 +CHICAGO 2005 02:07:02 7622 +CHICAGO 2006 02:07:35 7655 +CHICAGO 2007 02:11:11 7871 +CHICAGO 2008 02:06:25 7585 +CHICAGO 2009 02:05:41 7541 +CHICAGO 2010 02:06:23 7583 diff --git a/_doc/c_data/dataframes.rst b/_doc/c_data/dataframes.rst index 6d19cfeb..0a8655b9 100644 --- a/_doc/c_data/dataframes.rst +++ b/_doc/c_data/dataframes.rst @@ -2,4 +2,6 @@ Dataframes ========== -*à compléter* +.. toctree:: + + nb_dataframe diff --git a/_doc/c_data/matrices.rst b/_doc/c_data/matrices.rst index a892a1a7..f9cded4f 100644 --- a/_doc/c_data/matrices.rst +++ b/_doc/c_data/matrices.rst @@ -2,5 +2,8 @@ Calcul matriciel ================ -*à compléter* +.. toctree:: + + nb_array + nb_numpy diff --git a/_doc/c_data/nb_array.ipynb b/_doc/c_data/nb_array.ipynb new file mode 100644 index 00000000..b6fe1166 --- /dev/null +++ b/_doc/c_data/nb_array.ipynb @@ -0,0 +1,2832 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Calcul Matriciel, Optimisation\n", + "\n", + "Tous les programmes python faisant des calculs utilisent une librairie dédiée car python est trop lent. La plus simple des options est [numpy](https://numpy.org/). Avec l'avènement du deep learning, d'autres ont émergé offrant de faire des calculs dans des environnements plus variés ([CPU](https://en.wikipedia.org/wiki/Central_processing_unit), [GPU](https://en.wikipedia.org/wiki/Graphics_processing_unit), ...). [pytorch](https://pytorch.org/) est une des plus connues.\n", + "\n", + "Avec l'émergence du deep learning en open source, l'usage de ces librairies s'est standardisé. Ce qui est vrai pour numpy l'est aussi pour pytorch. Les opérations ont le même sens, les fonctions ont presque toujours les mêmes noms." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Numpy arrays" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "La convention d'import classique de numpy est la suivante:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import numpy as np" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Creation d'un array: notion de datatype, et dimensions" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On part d'une liste python contenant des entiers. On peut créer un [array](http://docs.scipy.org/doc/numpy/reference/generated/numpy.array.html) numpy à partir de cette liste. \n", + "Cet array possède des attributs indiquant le data type, le nombre de dimensions de l'array, etc..." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 1 42 18]\n", + "int64\n", + "1\n", + "(3,)\n", + "3\n" + ] + }, + { + "data": { + "text/plain": [ + "array([ 1, 42, 18])" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "l = [1, 42, 18]\n", + "a = np.array(l)\n", + "print(a)\n", + "print(a.dtype)\n", + "print(a.ndim)\n", + "print(a.shape)\n", + "print(a.size)\n", + "a" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On peut indiquer explicitement le [dtype](http://docs.scipy.org/doc/numpy/reference/generated/numpy.dtype.html) lors de la création de l'array. Sinon, Numpy sélectionne automatiquement le [dtype](http://docs.scipy.org/doc/numpy/reference/generated/numpy.dtype.html).\n", + "Numpy ajoute un grand nombre de [dtype](http://docs.scipy.org/doc/numpy/reference/generated/numpy.dtype.html) à ceux de Python. Allez jeter un oeil à la [liste](http://docs.scipy.org/doc/numpy/user/basics.types.html). " + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 1. 42. 18.]\n", + "float64\n" + ] + } + ], + "source": [ + "b = np.array(l, dtype=float)\n", + "print(b)\n", + "print(b.dtype)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 1. 42. 18.]\n", + "float64\n" + ] + } + ], + "source": [ + "l[0] = 1.0\n", + "bb = np.array(l)\n", + "print(bb)\n", + "print(bb.dtype)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Assigner un float dans un array de type int va caster le float en int, et ne modifie pas le [dtype](http://docs.scipy.org/doc/numpy/reference/generated/numpy.dtype.html) de l'array." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 2, 42, 18])" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a[0] = 2.5\n", + "a" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On peut forcer le casting dans un autre type avec [astype](http://docs.scipy.org/doc/numpy/reference/generated/numpy.ndarray.astype.html) :" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 2.5, 42. , 18. ])" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "aa = a.astype(float)\n", + "aa[0] = 2.5\n", + "aa" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "A partir d'une liste de listes, on obtient un array bi-dimmensionnel.\n", + "\n", + "On peut le transposer ou encore l'aplatir en un array 1d" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[0 1 2 3 4]\n", + " [5 6 7 8 9]\n", + " [0 1 2 3 4]]\n", + "ndim:2\n", + "shape:(3, 5)\n", + "[[0 5 0]\n", + " [1 6 1]\n", + " [2 7 2]\n", + " [3 8 3]\n", + " [4 9 4]]\n", + "shape transposed:(5, 3)\n", + "[0 1 2 3 4 5 6 7 8 9 0 1 2 3 4]\n", + "ndim flattened:1\n" + ] + } + ], + "source": [ + "c = np.array([range(5), range(5, 10), range(5)])\n", + "print(c)\n", + "print(\"ndim:{}\".format(c.ndim))\n", + "print(\"shape:{}\".format(c.shape))\n", + "print(c.transpose()) # same as c.T\n", + "print(\"shape transposed:{}\".format(c.T.shape))\n", + "print(c.flatten())\n", + "print(\"ndim flattened:{}\".format(c.flatten().ndim))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Indexation, Slicing, Fancy indexing" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[0 1 2 3 4]\n", + " [5 6 7 8 9]\n", + " [0 1 2 3 4]]\n" + ] + } + ], + "source": [ + "print(c)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "L'indexation des array multidimensionnels fonctionne avec des tuples.\n", + "\n", + "La syntaxe ``':'`` permet d'obtenir tous les éléments de la dimension." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "8\n", + "[5 6 7]\n", + "[4 9 4]\n" + ] + } + ], + "source": [ + "print(c[1, 3])\n", + "print(c[1, :3])\n", + "print(c[:, 4])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Si on utilise pas un couple sur un array 2d on récupère un array 1d" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[5 6 7 8 9] (5,)\n", + "[5 6 7]\n" + ] + } + ], + "source": [ + "print(c[1], c[1].shape)\n", + "print(c[1][:3])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On peut aussi utiliser l'indexation par un array (ou une liste python) de booléens ou d'entiers (un mask). Cela s'appelle le fancy indexing. Un mask d'entiers permet de désigner les éléments que l'on souhaite extraire via la liste de leurs indices, on peut aussi répéter l'indice d'un élément pour répéter l'élement dans l'array que l'on extrait." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ar = [1 2 3 4 5 6 7 8 9]\n", + "idx = [1 4 3 2 1 7 3]\n", + "ar[idx] = [2 5 4 3 2 8 4]\n", + "######\n", + "idx_bool = [ True False False False False True True False True]\n", + "ar[idx_bool] = [1 6 7 9]\n", + "###### Que se passe-t-il dans chacun des cas suivants? ######\n", + "Erreur boolean index did not match indexed array along dimension 0; dimension is 9 but corresponding boolean dimension is 4\n" + ] + } + ], + "source": [ + "ar = np.arange(1, 10) # arange est l'equivalent de range mais retourne un numpy array\n", + "print(\"ar = \", ar)\n", + "idx = np.array([1, 4, 3, 2, 1, 7, 3])\n", + "print(\"idx = \", idx)\n", + "print(\"ar[idx] =\", ar[idx])\n", + "print(\"######\")\n", + "idx_bool = np.ones(ar.shape, dtype=bool)\n", + "idx_bool[idx] = False\n", + "print(\"idx_bool = \", idx_bool)\n", + "print(\"ar[idx_bool] = \", ar[idx_bool])\n", + "print(\"######\", \"Que se passe-t-il dans chacun des cas suivants?\", \"######\")\n", + "try:\n", + " print(\n", + " \"ar[np.array([True, True, False, True])] = \",\n", + " ar[np.array([True, True, False, True])],\n", + " )\n", + "except Exception as e:\n", + " # l'expression ar[[True, True, False, True]] déclenche une erreur depuis numpy 1.13\n", + " print(\"Erreur\", e)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Pourquoi parle-t-on de fancy indexing? Essayez d'indexer des listes python de la même manière..." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "range indices must be integers or slices, not list\n" + ] + } + ], + "source": [ + "list_python = range(10)\n", + "try:\n", + " list_python[[True, True, False, True]] # déclenche une exception\n", + "except TypeError as e:\n", + " print(e)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "range indices must be integers or slices, not list\n" + ] + } + ], + "source": [ + "try:\n", + " list_python[[2, 3, 2, 7]] # déclenche une exception\n", + "except TypeError as e:\n", + " print(e)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### View contre Copy" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Créons un array $d$. En plus de renvoyer directement un array, la fonction [arange](http://docs.scipy.org/doc/numpy/reference/generated/numpy.arange.html) permet aussi d'utiliser un step flottant. (Essayer avec le range de python pour voir)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1. , 1.5, 2. , 2.5, 3. , 3.5, 4. , 4.5, 5. , 5.5])" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "d = np.arange(1, 6, 0.5)\n", + "d" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Un point important est que l'on ne recopie pas un array lorsqu'on effectue une assignation ou un slicing d'un array.\n", + "On travaille dans ce cas avec une View sur l'array d'origine (shallow copy). Toute modification sur la View affecte l'array d'origine.\n", + "\n", + "Dans l'exemple qui suit, $e$ est une view sur $d$. Lorsqu'on modifie $e$, $d$ aussi est modifié. (Remarquez au passage que numpy fournit quelques constantes bien pratiques....)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-3.14159265, 1.5 , -3.14159265, 2.5 , -3.14159265,\n", + " 3.5 , 4. , 4.5 , 5. , 5.5 ])" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "e = d\n", + "e[[0, 2, 4]] = -np.pi\n", + "e" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-3.14159265, 1.5 , -3.14159265, 2.5 , -3.14159265,\n", + " 3.5 , 4. , 4.5 , 5. , 5.5 ])" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "d" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Si on ne veut pas modifier $d$ indirectement, il faut travailler sur une copie de $d$ ([deep copy](https://docs.python.org/3.4/library/copy.html#copy.deepcopy))." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[-2.71828183 -2.71828183 -2.71828183 -2.71828183 3. 3.5\n", + " 4. 4.5 5. 5.5 ]\n", + "[1. 1.5 2. 2.5 3. 3.5 4. 4.5 5. 5.5]\n" + ] + } + ], + "source": [ + "d = np.linspace(\n", + " 1, 5.5, 10\n", + ") # Question subsidiaire: en quoi est-ce différent de np.arange avec un step float?\n", + "f = d.copy()\n", + "f[:4] = -np.e # il s'agit du nombre d'euler, pas de l'array e ;)\n", + "print(f)\n", + "print(d)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Ce point est important car source classique d'erreurs silencieuses: les erreurs les plus vicieuses car l'output sera faux mais python ne râlera pas...\n", + "\n", + "Il faut un peu de temps pour s'habituer mais on finit par savoir de manière naturelle quand on travaille sur une view, quand on a besoin de faire une copie explicitement, etc... En tout cas, vérifiez vos sorties, faites des tests de cohérence, cela ne nuit jamais.\n", + "\n", + "Retenez par exemple que le [slicing](http://docs.scipy.org/doc/numpy/reference/arrays.indexing.html#basic-slicing-and-indexing) vous renvoie une view sur l'array, alors que le [fancy indexing](https://scipy-lectures.github.io/intro/numpy/array_object.html#fancy-indexing) effectue une copie.\n", + "\n", + "(Au passage, remarquez le [NaN](http://docs.scipy.org/doc/numpy/reference/generated/numpy.isnan.html) (=NotaNumber) déjà introduit lors de la séance 1 sur pandas qui est un module basé sur numpy)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "d = [1. 1.5 2. 2.5 3. 3.5 4. 4.5 5. 5.5]\n", + "\n", + "slice_of_d = [2. 2.5 3. ]\n", + "\n", + "d = [1. 1.5 nan 2.5 3. 3.5 4. 4.5 5. 5.5]\n", + "\n", + "fancy_indexed_subarray = [nan 2.5 3. ]\n", + "\n", + "d = [1. 1.5 nan 2.5 3. 3.5 4. 4.5 5. 5.5]\n" + ] + } + ], + "source": [ + "print(\"d = \", d)\n", + "slice_of_d = d[2:5]\n", + "print(\"\\nslice_of_d = \", slice_of_d)\n", + "slice_of_d[0] = np.nan\n", + "print(\"\\nd = \", d)\n", + "mask = np.array([2, 3, 4])\n", + "fancy_indexed_subarray = d[mask]\n", + "print(\"\\nfancy_indexed_subarray = \", fancy_indexed_subarray)\n", + "fancy_indexed_subarray[0] = -2\n", + "print(\"\\nd = \", d)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Manipulation de shape" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "La méthode reshape permet de changer la forme de l'array. Il existe de nombreuses [manipulations possibles](http://docs.scipy.org/doc/numpy/reference/routines.array-manipulation.html)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On précise à [reshape](http://docs.scipy.org/doc/numpy/reference/generated/numpy.reshape.html) la forme souhaitée: par un entier si on veut un array 1d de cette longueur, ou un couple pour un array 2d de cette forme." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 0 1 2 3 4 5 6 7 8 9 10 11]\n" + ] + }, + { + "data": { + "text/plain": [ + "array([[ 0, 1, 2],\n", + " [ 3, 4, 5],\n", + " [ 6, 7, 8],\n", + " [ 9, 10, 11]])" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "g = np.arange(12)\n", + "print(g)\n", + "g.reshape((4, 3))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Par défaut, [reshape](http://docs.scipy.org/doc/numpy/reference/generated/numpy.reshape.html) utilise l'énumération dans l'ordre du langage C (aussi appelé \"row first\" ), on peut préciser que l'on souhaite utiliser l'ordre de [Fortran](https://fr.wikipedia.org/wiki/Fortran) (\"column first\"). Ceux qui connaissent Matlab et R sont habitués à l'ordre \"column-first\". [Voir l'article wikipedia](http://en.wikipedia.org/wiki/Row-major_order)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0, 4, 8],\n", + " [ 1, 5, 9],\n", + " [ 2, 6, 10],\n", + " [ 3, 7, 11]])" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "g.reshape((4, 3), order=\"F\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On peut utiliser -1 sur une dimension, cela sert de joker: numpy infère la dimension nécessaire ! On peut créer directement des matrices de 0 et de 1 à la dimension d'un autre array." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.zeros_like(g)" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1])" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.ones_like(g)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On peut aussi concatener ou stacker [horizontalement](http://docs.scipy.org/doc/numpy/reference/generated/numpy.hstack.html)/[verticalement](http://docs.scipy.org/doc/numpy/reference/generated/numpy.vstack.html) différents arrays." + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 0, 0, 0, 0, 0,\n", + " 0, 0, 0, 0, 0, 0, 0])" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.concatenate(\n", + " (g, np.zeros_like(g))\n", + ") # Attention à la syntaxe: le type d'entrée est un tuple!" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11],\n", + " [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]])" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gmat = g.reshape((1, len(g)))\n", + "np.concatenate((gmat, np.ones_like(gmat)), axis=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 1, 1, 1, 1,\n", + " 1, 1, 1, 1, 1, 1, 1, 1]])" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.concatenate((gmat, np.ones_like(gmat)), axis=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4,\n", + " 5, 6, 7, 8, 9, 10, 11])" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.hstack((g, g))" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11],\n", + " [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]])" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.vstack((g, g))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice 1: Echiquier et Crible d'Erathosthène" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "* Exercice 1-A Echiquier: Créer une matrice échiquier (des 1 et des 0 alternés) de taille 8x8, de deux façons différentes\n", + " * en vous servant de slices \n", + " * en vous servant de la fonction [tile](http://docs.scipy.org/doc/numpy/reference/generated/numpy.tile.html#numpy.tile)\n", + "* Exercice 1-B Piège lors d'une extraction 2d:\n", + " * Définir la matrice $M = \\left(\\begin{array}{ccccc} 1 & 5 & 9 & 13 & 17 \\\\ 2 & 6 & 10 & 14 & 18 \\\\ 3 & 7 & 11 & 15 & 19 \\\\ 4 & 8 & 12 & 16 & 20 \\\\ \\end{array}\\right)$\n", + " * En **extraire** la matrice $\\left(\\begin{array}{ccc} 6 & 18 & 10 \\\\ 7 & 19 & 11 \\\\ 5 & 17 & 9 \\\\ \\end{array}\\right)$\n", + "* Exercice 1-C Crible d'Erathosthène: On souhaite implémenter un [crible d'Erathosthène](http://fr.wikipedia.org/wiki/Crible_d'%C3%89ratosth%C3%A8ne) pour trouver les nombres premiers inférieurs à $N=1000$.\n", + " * partir d'un array de booléens de taille N+1, tous égaux à True.\n", + " * Mettre 0 et 1 à False car ils ne sont pas premiers\n", + " * pour chaque entier $k$ entre 2 et $\\sqrt{N}$: \n", + " * si $k$ est premier: on passe ses multiples (entre $k^2$ et $N$) à False\n", + " * on print la liste des entiers premiers" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Exo1a-1:\n", + "\n", + "# Exo1a-2:" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Exo1B:" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Exo1C:" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Manipulation et Opérations sur les arrays" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Il existe un très grand nombre de [routines pour manipuler les arrays numpy](http://docs.scipy.org/doc/numpy/reference/routines.html): \n", + "Vous trouverez sans doute utiles les pages spécifiques aux routines de [stats](http://docs.scipy.org/doc/numpy/reference/routines.statistics.html) ou de [maths](http://docs.scipy.org/doc/numpy/reference/routines.math.html)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Opérations élément par élément" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On déclare $a$ et $b$ sur lesquelles nous allons illustrer quelques opérations" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[1. 1.]\n", + " [1. 1.]\n", + " [1. 1.]]\n" + ] + }, + { + "data": { + "text/plain": [ + "array([[0, 1],\n", + " [2, 3],\n", + " [4, 5]])" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a = np.ones((3, 2))\n", + "b = np.arange(6).reshape(a.shape)\n", + "print(a)\n", + "b" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Les opérations arithmétiques avec les scalaires, ou entre arrays s'effectuent élément par élément.\n", + "Lorsque le dtype n'est pas le même ($a$ contient des float, $b$ contient des int), numpy adopte le type le plus \"grand\" (au sens de l'inclusion).\n" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[ 1. 4.]\n", + " [ 9. 16.]\n", + " [25. 36.]]\n", + "[[3. 2.]\n", + " [1. 0.]\n", + " [1. 2.]]\n", + "[[ 0.36787944 1. ]\n", + " [ 2.71828183 7.3890561 ]\n", + " [20.08553692 54.59815003]]\n" + ] + } + ], + "source": [ + "print((a + b) ** 2)\n", + "print(np.abs(3 * a - b))\n", + "f = lambda x: np.exp(x - 1)\n", + "print(f(b))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Remarquez que la division par zéro ne provoque pas d'erreur mais introduit la valeur [inf](http://docs.scipy.org/doc/numpy/reference/generated/numpy.isinf.html) :" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[0, 1],\n", + " [2, 3],\n", + " [4, 5]])" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "b" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/tmp/ipykernel_14281/4032182506.py:1: RuntimeWarning: divide by zero encountered in divide\n", + " 1/b\n" + ] + }, + { + "data": { + "text/plain": [ + "array([[ inf, 1. ],\n", + " [0.5 , 0.33333333],\n", + " [0.25 , 0.2 ]])" + ] + }, + "execution_count": 37, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "1 / b" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Broadcasting" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Que se passe-t-il si les dimensions sont différentes?" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1., 1., 1., 1., 1., 1.])" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "c = np.ones(6)\n", + "c" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "operands could not be broadcast together with shapes (3,2) (6,) \n" + ] + } + ], + "source": [ + "try:\n", + " b + c # déclenche une exception\n", + "except ValueError as e:\n", + " print(e)" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[0 1]\n", + " [2 3]\n", + " [4 5]]\n", + "[[0]\n", + " [1]\n", + " [2]]\n" + ] + }, + { + "data": { + "text/plain": [ + "array([[0, 1],\n", + " [3, 4],\n", + " [6, 7]])" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "c = np.arange(3).reshape((3, 1))\n", + "print(b, c, sep=\"\\n\")\n", + "b + c" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "L'opération précédente fonctionne car numpy effectue ce qu'on appelle un [broadcasting](http://docs.scipy.org/doc/numpy/user/basics.broadcasting.html) de ``c`` : une dimension étant commune, tout se passe comme si on dupliquait c sur la dimension non-partagée avec b. Vous trouverez une explication visuelle simple [ici](http://www.tp.umu.se/~nylen/pylect/intro/numpy/numpy.html#broadcasting) :" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[-1. 1. 2.]\n", + " [-1. 1. 2.]\n", + " [-1. 1. 2.]]\n" + ] + } + ], + "source": [ + "a = np.zeros((3, 3))\n", + "a[:, 0] = -1\n", + "b = np.array(range(3))\n", + "print(a + b)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Par contre, il peut parfois être utile de préciser la dimension sur laquelle on souhaite broadcaster, on ajoute alors explicitement une dimension :" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(3,)\n", + "(3, 1)\n", + "(1, 3)\n" + ] + } + ], + "source": [ + "print(b.shape)\n", + "print(b[:, np.newaxis].shape)\n", + "print(b[np.newaxis, :].shape)" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[-1. 1. 2.]\n", + " [-1. 1. 2.]\n", + " [-1. 1. 2.]]\n", + "[[-1. 0. 0.]\n", + " [ 0. 1. 1.]\n", + " [ 1. 2. 2.]]\n", + "[[0 1 2]\n", + " [1 2 3]\n", + " [2 3 4]]\n", + "[0 2 4]\n" + ] + } + ], + "source": [ + "print(a + b[np.newaxis, :])\n", + "print(a + b[:, np.newaxis])\n", + "print(b[:, np.newaxis] + b[np.newaxis, :])\n", + "print(b + b)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Réductions" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On parle de réductions lorsque l'opération réduit la dimension de l'array.\n", + "Il en existe un grand nombre. Elles existent souvent sous forme de fonction de numpy ou de méthodes d'un array numpy.\n", + "On n'en présente que quelques unes, mais le principe est le même : par défaut elles opèrent sur toutes les dimensions, mais on peut via l'argument *axis* préciser la dimension selon laquelle on souhaite effectuer la réduction." + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[0 1 2 3 4]\n", + " [5 6 7 8 9]]\n", + "45\n", + "[ 5 7 9 11 13]\n", + "[10 35]\n" + ] + } + ], + "source": [ + "c = np.arange(10).reshape((2, -1)) # Note: -1 is a joker!\n", + "print(c)\n", + "print(c.sum())\n", + "print(c.sum(axis=0))\n", + "print(np.sum(c, axis=1))" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "True\n", + "0 9\n", + "[0 5]\n" + ] + } + ], + "source": [ + "print(np.all(c[0] < c[1]))\n", + "print(c.min(), c.max())\n", + "print(c.min(axis=1))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Algèbre linéaire" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Vous avez un éventail de fonctions pour faire de l'algèbre linéaire dans [numpy](http://docs.scipy.org/doc/numpy/reference/routines.linalg.html) ou dans [scipy](http://docs.scipy.org/doc/scipy/reference/linalg.html).\n", + "Cela peut vous servir si vous cherchez à faire une décomposition matricielle particulière ([LU](http://docs.scipy.org/doc/scipy-0.14.0/reference/generated/scipy.linalg.lu.html), [QR](http://docs.scipy.org/doc/numpy/reference/generated/numpy.linalg.qr.html), [SVD](http://docs.scipy.org/doc/numpy/reference/generated/numpy.linalg.svd.html),...), si vous vous intéressez aux valeurs propres d'une matrice, etc..." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Exemples simples" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Commençons par construire deux arrays 2d correspondant à une matrice triangulaire inférieure et une matrice diagonale :" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[1., 0., 0.],\n", + " [1., 1., 0.],\n", + " [1., 1., 1.]])" + ] + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "A = np.tril(np.ones((3, 3)))\n", + "A" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[1, 0, 0],\n", + " [0, 2, 0],\n", + " [0, 0, 3]])" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "b = np.diag([1, 2, 3])\n", + "b" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On a vu que les multiplications entre array s'effectuaient élément par élement.\n", + "Si l'on souhaite faire des multiplications matricielles, il faut utiliser la fonction [dot](http://docs.scipy.org/doc/numpy/reference/generated/numpy.dot.html). La version 3.5 introduit un nouvel opérateur [@](https://docs.python.org/3.6/whatsnew/3.5.html#pep-465-a-dedicated-infix-operator-for-matrix-multiplication) qui désigne explicitement la multiplication matricielle." + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[1. 0. 0.]\n", + " [1. 2. 0.]\n", + " [1. 2. 3.]]\n", + "[[1. 0. 0.]\n", + " [0. 2. 0.]\n", + " [0. 0. 3.]]\n", + "[[1. 0. 0.]\n", + " [2. 1. 0.]\n", + " [3. 2. 1.]]\n" + ] + } + ], + "source": [ + "print(A.dot(b))\n", + "print(A * b)\n", + "print(A.dot(A))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On peut calculer l'inverse ou le déterminant de $A$" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.0\n", + "[[ 1. 0. 0.]\n", + " [-1. 1. 0.]\n", + " [ 0. -1. 1.]]\n", + "[[1. 0. 0.]\n", + " [0. 1. 0.]\n", + " [0. 0. 1.]]\n" + ] + } + ], + "source": [ + "print(np.linalg.det(A))\n", + "inv_A = np.linalg.inv(A)\n", + "print(inv_A)\n", + "print(inv_A.dot(A))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "... résoudre des systèmes d'equations linéaires du type $Ax = b$..." + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1 2 3]\n", + "[1. 1. 1.]\n", + "[1. 2. 3.]\n" + ] + } + ], + "source": [ + "x = np.linalg.solve(A, np.diag(b))\n", + "print(np.diag(b))\n", + "print(x)\n", + "print(A.dot(x))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "... ou encore obtenir les valeurs propres de $A$." + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "EigResult(eigenvalues=array([1., 1., 1.]), eigenvectors=array([[ 0.00000000e+00, 0.00000000e+00, 4.93038066e-32],\n", + " [ 0.00000000e+00, 2.22044605e-16, -2.22044605e-16],\n", + " [ 1.00000000e+00, -1.00000000e+00, 1.00000000e+00]]))" + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.linalg.eig(A)" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1., 1., 1.])" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.linalg.eigvals(A)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Numpy Matrix" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[Matrix](http://docs.scipy.org/doc/numpy/reference/generated/numpy.matrix.html) est une sous classe spécialisée pour le calcul matriciel. Il s'agit d'un array numpy 2d qui conserve sa dimension 2d à travers les opérations. Pensez aux différences que cela implique...\n", + "On peut les construire classiquement depuis les array ou les objets pythons, ou via une string à la Matlab ( où les points virgules indiquent les lignes)." + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[1 2 3]\n", + " [4 5 6]\n", + " [7 8 9]]\n", + "[[1 2 3]\n", + " [4 5 6]\n", + " [7 8 9]]\n", + "[[1 2 3]] [1 2 3]\n", + "(1, 3) (3,)\n" + ] + } + ], + "source": [ + "m = np.matrix(\" 1 2 3; 4 5 6; 7 8 9\")\n", + "a = np.arange(1, 10).reshape((3, 3))\n", + "print(m)\n", + "print(a)\n", + "print(m[0], a[0])\n", + "print(m[0].shape, a[0].shape)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Matrix surcharge par ailleurs les opérateurs \\* et \\** pour remplacer les opérations élément par élément par les opérations matricielles.\n", + "Enfin, une Matrix possède des attributs supplémentaires. Notamment, Matrix.I qui désigne l'inverse, Matrix.A l'array de base. \n", + "\n", + "*Il est probable que cela évolue puisque Python 3.5 a introduit le symbol ``@`` pour la multiplication matricielle.*" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "matrix([[ 30, 36, 42],\n", + " [ 66, 81, 96],\n", + " [102, 126, 150]])" + ] + }, + "execution_count": 55, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "m * m" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 1, 4, 9],\n", + " [16, 25, 36],\n", + " [49, 64, 81]])" + ] + }, + "execution_count": 56, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "a * a" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "matrix([[ 30, 36, 42],\n", + " [ 66, 81, 96],\n", + " [102, 126, 150]])" + ] + }, + "execution_count": 57, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "m * a # La priorité des matrix est plus importantes que celles des arrays" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[ 30 36 42]\n", + " [ 66 81 96]\n", + " [102 126 150]]\n", + "[[ 1 4 9]\n", + " [16 25 36]\n", + " [49 64 81]]\n" + ] + } + ], + "source": [ + "print(m**2)\n", + "print(a**2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "La syntaxe est plus légère pour effectuer du calcul matriciel" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "det 6.000000000000016 rank 3\n", + "[[ 1.00000000e+00 -2.22044605e-15 -3.77475828e-15]\n", + " [ 0.00000000e+00 1.00000000e+00 7.10542736e-15]\n", + " [ 8.88178420e-16 0.00000000e+00 1.00000000e+00]]\n", + "det 6.000000000000016 rank 3\n", + "[[ 1.00000000e+00 2.66453526e-15 -8.88178420e-16]\n", + " [ 0.00000000e+00 1.00000000e+00 1.77635684e-15]\n", + " [ 0.00000000e+00 8.88178420e-16 1.00000000e+00]]\n" + ] + } + ], + "source": [ + "m[0, 0] = -1\n", + "print(\"det\", np.linalg.det(m), \"rank\", np.linalg.matrix_rank(m))\n", + "print(m.I * m)\n", + "a[0, 0] = -1\n", + "print(\"det\", np.linalg.det(a), \"rank\", np.linalg.matrix_rank(a))\n", + "print(a.dot(np.linalg.inv(a)))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Génération de nombres aléatoires et statistiques" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Le module [numpy.random](http://docs.scipy.org/doc/numpy/reference/routines.random.html) apporte à python la possibilité de générer un échantillon de taille $n$ directement, alors que le module natif de python ne produit des tirages que un par un. Le module [numpy.random](http://docs.scipy.org/doc/numpy/reference/routines.random.html) est donc bien plus efficace si on veut tirer des échantillon conséquents. Par ailleurs, [scipy.stats](http://docs.scipy.org/doc/scipy/reference/stats.html) fournit des méthodes pour un très grand nombre de distributions et quelques fonctions classiques de statistiques. " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Par exemple, on peut obtenir un array 4x3 de tirages gaussiens standard (soit en utilisant [*randn*](http://docs.scipy.org/doc/numpy/reference/generated/numpy.random.randn.html#numpy.random.randn) ou [*normal*](http://docs.scipy.org/doc/numpy/reference/generated/numpy.random.normal.html#numpy.random.normal)):" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0.37919615, 0.30467865, 1.07087102],\n", + " [-1.27539927, -0.14945927, -1.27548886],\n", + " [-1.2140889 , -0.57399401, -0.67446586],\n", + " [-0.14806038, -0.89661197, 1.49583792]])" + ] + }, + "execution_count": 60, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.random.randn(4, 3)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Pour se convaincre que [numpy.random](http://docs.scipy.org/doc/numpy/reference/routines.random.html) est plus efficace que le module *random* de base de python. On effectue un grand nombre de tirages gaussiens standard, en python pur et via numpy." + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "646 ms ± 38.6 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" + ] + } + ], + "source": [ + "N = int(1e6)\n", + "from random import normalvariate\n", + "\n", + "%timeit [normalvariate(0,1) for _ in range(N)]" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "20.8 ms ± 472 µs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n" + ] + } + ], + "source": [ + "%timeit np.random.randn(N)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice 2 : marches aléatoires" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Simulez (**en une seule fois!**) 10000 marches aléatoires de taille 1000, partant de 0 et de pas +1 ou -1 équiprobables \n", + "\n", + "* Faites un graphe représentant la racine de la moyenne des carrés des positions (=cumul des pas à un instant donné) en fonction du temps\n", + "* Quels sont les amplitudes maximales et minimales atteintes parmi l'ensemble des marches aléatoires?\n", + "* Combien de marches s'éloigne de plus de 50 de l'origine?\n", + "* Parmi celles qui le font, quelle est la moyenne des temps de passage (i.e. le premier moment où ces marches dépassent +/-50)?\n", + "\n", + "Vous aurez peut-être besoin des fonctions suivantes: [np.abs](http://docs.scipy.org/doc/numpy/reference/generated/numpy.absolute.html), [np.mean](http://docs.scipy.org/doc/numpy/reference/generated/numpy.mean.html), [np.max](http://docs.scipy.org/doc/numpy/reference/generated/numpy.maximum.html), [np.where](http://docs.scipy.org/doc/numpy/reference/generated/numpy.where.html), [np.argmax](http://docs.scipy.org/doc/numpy/reference/generated/numpy.argmax.html), [np.any](http://docs.scipy.org/doc/numpy/reference/generated/numpy.any.html), [np.cumsum](http://docs.scipy.org/doc/numpy/reference/generated/numpy.cumsum.html), [np.random.randint](http://docs.scipy.org/doc/numpy/reference/generated/numpy.random.randint.html)." + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice 3 : retrouver la série aléatoire à partir des marches aléatoires\n", + "\n", + "L'exercice précédent montre comment générer une marche aléatoire à partir d'une série temporelle aléatoire. Comment retrouver la série initiale à partir de la marche aléatoire ?" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Optimisation avec scipy" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Le module [scipy.optimize](http://docs.scipy.org/doc/scipy/reference/optimize.html) fournit un panel de méthodes d'optimisation. En fonction du problème que vous souhaitez résoudre, il vous faut choisir la méthode adéquate. Je vous conseille vivement la lecture de ce [tutoriel](http://scipy-lectures.github.io/advanced/mathematical_optimization/index.html) sur l'optimisation numérique, écrit par Gaël Varoquaux. \n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "Récemment, l'ensemble des solvers ont été regroupés sous deux interfaces, même si on peut toujours faire appel à chaque solver directement, ce qui n'est pas conseillé car les entrées sorties ne sont pas normalisées (par contre vous devrez sans doute aller voir l'aide de chaque méthode pour vous en servir): \n", + "\n", + "* Pour minimiser une fonction scalaire d'une ou plusieurs variables:[scipy.optimize.minimize](http://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.minimize.html#scipy.optimize.minimize)\n", + "* Pour minimiser une fonction scalaire d'une variable uniquement:[scipy.optimize.minimize_scalar](http://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.minimize_scalar.html#scipy.optimize.minimize_scalar)\n", + "\n", + "Vous obtiendrez en sortie un objet de type [scipy.optimize.OptimizeResult](http://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.OptimizeResult.html#scipy.optimize.OptimizeResult)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Dans la suite, je développe un petit exemple inspiré du [tutoriel](http://www.mathworks.fr/fr/help/optim/examples/tutorial-for-the-optimization-toolbox.html#zmw57dd0e494) de la toolbox d'optimisation de Matlab. Par ailleurs, la [documentation](http://www.mathworks.fr/fr/help/optim/ug/unconstrained-nonlinear-optimization-algorithms.html#brnoxxo) de cette toolbox est plutôt claire et peut toujours vous servir lorsque que vous avez besoin de vous rafraichir la mémoire sur l'optimisation numérique." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On commence par définir la fonction *bowl_peak*" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def bowl_peak(x, y):\n", + " return x * np.exp(-(x**2) - y**2) + (x**2 + y**2) / 20" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On va ensuite chercher un exemple dans la gallerie matplotlib pour la représenter: [contour3d_demo3](http://matplotlib.org/examples/mplot3d/contour3d_demo3.html). On modifie légèrement le code pour l'utiliser avec *bowl_peak*" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(-0.5, 0.5)" + ] + }, + "execution_count": 71, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from mpl_toolkits.mplot3d import axes3d\n", + "import matplotlib.pyplot as plt\n", + "from matplotlib import cm # colormaps\n", + "\n", + "min_val = -2\n", + "max_val = 2\n", + "\n", + "ax = plt.figure().add_subplot(projection=\"3d\")\n", + "x_axis = np.linspace(min_val, max_val, 100)\n", + "y_axis = np.linspace(min_val, max_val, 100)\n", + "X, Y = np.meshgrid(x_axis, y_axis, copy=False, indexing=\"xy\")\n", + "Z = bowl_peak(X, Y)\n", + "# X, Y, Z = axes3d.get_test_data(0.05)\n", + "ax.plot_surface(X, Y, Z, rstride=5, cstride=5, alpha=0.2)\n", + "cset = ax.contour(X, Y, Z, zdir=\"z\", offset=-0.5, cmap=cm.coolwarm)\n", + "cset = ax.contour(X, Y, Z, zdir=\"x\", offset=min_val, cmap=cm.coolwarm)\n", + "cset = ax.contour(X, Y, Z, zdir=\"y\", offset=max_val, cmap=cm.coolwarm)\n", + "\n", + "ax.set_xlabel(\"X\")\n", + "ax.set_xlim(min_val, max_val)\n", + "ax.set_ylabel(\"Y\")\n", + "ax.set_ylim(min_val, max_val)\n", + "ax.set_zlabel(\"Z\")\n", + "ax.set_zlim(-0.5, 0.5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On voit que le minimum se trouve près de $[-\\frac{1}{2}, 0]$. On va utiliser ce point pour initialiser l'optimisation.\n", + "On va tester différentes méthodes et comparer les sorties obtenues." + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "---\n", + "Method:Nelder-Mead\n", + " message: Optimization terminated successfully.\n", + " success: True\n", + " status: 0\n", + " fun: -0.4052368582391728\n", + " x: [-6.690e-01 -1.446e-04]\n", + " nit: 20\n", + " nfev: 38\n", + " final_simplex: (array([[-6.690e-01, -1.446e-04],\n", + " [-6.691e-01, -1.814e-04],\n", + " [-6.690e-01, -2.011e-04]]), array([-4.052e-01, -4.052e-01, -4.052e-01])) \n", + "\n", + "---\n", + "Method:CG\n", + " message: Optimization terminated successfully.\n", + " success: True\n", + " status: 0\n", + " fun: -0.40523687026669025\n", + " x: [-6.691e-01 -5.670e-09]\n", + " nit: 2\n", + " jac: [ 1.863e-08 0.000e+00]\n", + " nfev: 24\n", + " njev: 8 \n", + "\n", + "---\n", + "Method:BFGS\n", + " message: Optimization terminated successfully.\n", + " success: True\n", + " status: 0\n", + " fun: -0.40523687025688715\n", + " x: [-6.691e-01 -7.451e-09]\n", + " nit: 6\n", + " jac: [-6.083e-06 0.000e+00]\n", + " hess_inv: [[ 5.287e-01 -4.836e-24]\n", + " [-4.836e-24 1.000e+00]]\n", + " nfev: 21\n", + " njev: 7 \n", + "\n", + "---\n", + "Method:Powell\n", + " message: Optimization terminated successfully.\n", + " success: True\n", + " status: 0\n", + " fun: -0.40523687026669025\n", + " x: [-6.691e-01 -1.154e-08]\n", + " nit: 2\n", + " direc: [[ 0.000e+00 1.000e+00]\n", + " [-6.854e-04 -4.670e-11]]\n", + " nfev: 57 \n", + "\n", + "---\n", + "Method:COBYLA\n", + " message: Optimization terminated successfully.\n", + " success: True\n", + " status: 1\n", + " fun: -0.4052368678399868\n", + " x: [-6.691e-01 -4.892e-05]\n", + " nfev: 32\n", + " maxcv: 0.0 \n", + "\n", + "---\n", + "Method:L-BFGS-B\n", + " message: CONVERGENCE: NORM_OF_PROJECTED_GRADIENT_<=_PGTOL\n", + " success: True\n", + " status: 0\n", + " fun: -0.4052368702662145\n", + " x: [-6.691e-01 -8.828e-09]\n", + " nit: 3\n", + " jac: [ 1.360e-06 0.000e+00]\n", + " nfev: 15\n", + " njev: 5\n", + " hess_inv: <2x2 LbfgsInvHessProduct with dtype=float64> \n", + "\n" + ] + } + ], + "source": [ + "from scipy import optimize\n", + "\n", + "x0 = np.array([-0.5, 0])\n", + "fun = lambda x: bowl_peak(x[0], x[1])\n", + "methods = [\"Nelder-Mead\", \"CG\", \"BFGS\", \"Powell\", \"COBYLA\", \"L-BFGS-B\"]\n", + "for m in methods:\n", + " optim_res = optimize.minimize(fun, x0, method=m)\n", + " print(\"---\\nMethod:{}\\n\".format(m), optim_res, \"\\n\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On trouve un minimum à $-0.4052$ en $[-0.669, 0.000]$ pour toutes les méthodes qui convergent. Notez le message de sortie de 'CG' qui signifie que le gradient ne varie plus assez. Personnellement, je ne trouve pas ce message de sortie très clair. Le point trouvé est bien l'optimum cherché pourtant. Notez aussi le nombre d'évaluations de la fonction (*nfev*) pour chaque méthode, et le nombre d'évaluation de gradient (*njev*) pour les méthodes qui reposent sur un calcul de gradient." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Remarquez aussi que si on relance *Anneal* plusieurs fois, on n'est pas assuré d'obtenir la même solution, puisqu'il s'agit d'une métaheuristique." + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "---\n", + "Method:L-BFGS-B - Test:0\n", + " message: Optimization terminated successfully.\n", + " success: True\n", + " status: 0\n", + " fun: -0.40523687025688715\n", + " x: [-6.691e-01 -7.451e-09]\n", + " nit: 6\n", + " jac: [-6.083e-06 0.000e+00]\n", + " hess_inv: [[ 5.287e-01 -4.836e-24]\n", + " [-4.836e-24 1.000e+00]]\n", + " nfev: 21\n", + " njev: 7 \n", + "\n", + "---\n", + "Method:L-BFGS-B - Test:1\n", + " message: Optimization terminated successfully.\n", + " success: True\n", + " status: 0\n", + " fun: -0.40523687025688715\n", + " x: [-6.691e-01 -7.451e-09]\n", + " nit: 6\n", + " jac: [-6.083e-06 0.000e+00]\n", + " hess_inv: [[ 5.287e-01 -4.836e-24]\n", + " [-4.836e-24 1.000e+00]]\n", + " nfev: 21\n", + " njev: 7 \n", + "\n", + "---\n", + "Method:L-BFGS-B - Test:2\n", + " message: Optimization terminated successfully.\n", + " success: True\n", + " status: 0\n", + " fun: -0.40523687025688715\n", + " x: [-6.691e-01 -7.451e-09]\n", + " nit: 6\n", + " jac: [-6.083e-06 0.000e+00]\n", + " hess_inv: [[ 5.287e-01 -4.836e-24]\n", + " [-4.836e-24 1.000e+00]]\n", + " nfev: 21\n", + " njev: 7 \n", + "\n", + "---\n", + "Method:L-BFGS-B - Test:3\n", + " message: Optimization terminated successfully.\n", + " success: True\n", + " status: 0\n", + " fun: -0.40523687025688715\n", + " x: [-6.691e-01 -7.451e-09]\n", + " nit: 6\n", + " jac: [-6.083e-06 0.000e+00]\n", + " hess_inv: [[ 5.287e-01 -4.836e-24]\n", + " [-4.836e-24 1.000e+00]]\n", + " nfev: 21\n", + " njev: 7 \n", + "\n" + ] + } + ], + "source": [ + "for i in range(4):\n", + " optim_res = optimize.minimize(fun, x0, method=\"BFGS\")\n", + " print(\"---\\nMethod:{} - Test:{}\\n\".format(m, i), optim_res, \"\\n\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On va évaluer le temps de calcul nécessaire à chaque méthode." + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Method:Nelder-Mead:\n", + "724 µs ± 10.8 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n", + "############\n", + "Method:CG:\n", + "1.23 ms ± 25 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n", + "############\n", + "Method:BFGS:\n", + "1.29 ms ± 21.1 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n", + "############\n", + "Method:Powell:\n", + "903 µs ± 84.6 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n", + "############\n", + "Method:COBYLA:\n", + "155 µs ± 15.2 µs per loop (mean ± std. dev. of 7 runs, 10,000 loops each)\n", + "############\n", + "Method:L-BFGS-B:\n", + "729 µs ± 60.2 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n", + "############\n" + ] + } + ], + "source": [ + "for m in methods:\n", + " print(\"Method:{}:\".format(m))\n", + " %timeit optim_res = optimize.minimize(fun, x0, method=m)\n", + " print(\"############\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On peut aussi fournir des arguments supplémentaires à la fonction qu'on optimise. Par exemple, les données lorsque vous maximisez une log-vraissemblance. En voici un exemple: on considère une version rescaled de la fonction *bowl_peak*. Vous pourriez aussi utiliser une lambda fonction." + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " message: Optimization terminated successfully.\n", + " success: True\n", + " status: 0\n", + " fun: 0.05000000677266441\n", + " x: [ 2.500e+00 -1.229e+00]\n", + " nit: 23\n", + " jac: [-9.918e-06 5.635e-08]\n", + " hess_inv: [[ 1.407e+00 -1.579e+02]\n", + " [-1.579e+02 7.174e+05]]\n", + " nfev: 72\n", + " njev: 24\n", + "#######\n", + " message: Optimization terminated successfully.\n", + " success: True\n", + " status: 0\n", + " fun: 0.05000000677266441\n", + " x: [ 2.500e+00 -1.229e+00]\n", + " nit: 23\n", + " jac: [-9.918e-06 5.635e-08]\n", + " hess_inv: [[ 1.407e+00 -1.579e+02]\n", + " [-1.579e+02 7.174e+05]]\n", + " nfev: 72\n", + " njev: 24\n" + ] + } + ], + "source": [ + "def shifted_scaled_bowlpeak(x, a, b, c):\n", + " return (x[0] - a) * np.exp(-((x[0] - a) ** 2 + (x[1] - b) ** 2)) + (\n", + " (x[0] - a) ** 2 + (x[0] - b) ** 2\n", + " ) / c\n", + "\n", + "\n", + "a = 2\n", + "b = 3\n", + "c = 10\n", + "optim_res = optimize.minimize(\n", + " shifted_scaled_bowlpeak, x0, args=(a, b, c), method=\"BFGS\"\n", + ")\n", + "print(optim_res)\n", + "print(\"#######\")\n", + "optim_res = optimize.minimize(\n", + " lambda x: shifted_scaled_bowlpeak(x, a, b, c), x0, method=\"BFGS\"\n", + ")\n", + "print(optim_res)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Vous pouvez continuer ce petit benchmark en ajoutant le gradient et la hessienne... les calculs seront plus précis et plus rapides." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice 4: simulation, régression, estimation par maximisation de la vraisemblance" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "* On commence par simuler la variable $Y = 3 X_1 -2 X_2 +2 + \\epsilon$ où $X_1,X_2,\\epsilon \\sim \\mathcal{N}(0,1)$ \n", + "* On souhaite ensuite retrouver les coefficients dans la [régression linéaire](http://fr.wikipedia.org/wiki/R%C3%A9gression_lin%C3%A9aire) de $Y$ sur $X_1$ et $X_2$ dans un modèle avec constante, par la méthode des Moindres Carrés Ordinaires. On rappelle que la forme matricielle de l'estimateur des MCO est $\\hat{\\beta} = (X'X)^{-1}X'Y$\n", + "* Enfin, $Y$ étant normale, on souhaite estimer ses paramètres par maximisation de vraisemblance:\n", + " * La densité s'écrit: $f(x, \\mu, \\sigma) = \\frac{1}{\\sigma \\sqrt{2\\pi} } e^{ -\\frac{(x-\\mu)^2}{2\\sigma^2} }$\n", + " * La log-vraisemblance: $\\ln\\mathcal{L}(\\mu,\\sigma^2) = \\sum_{i=1}^n \\ln f(x_i;\\,\\mu,\\sigma^2) = -\\frac{n}{2}\\ln(2\\pi) - \\frac{n}{2}\\ln\\sigma^2 - \\frac{1}{2\\sigma^2}\\sum_{i=1}^n (x_i-\\mu)^2$.\n", + " * L'écriture des conditions au premier ordre donne une formule fermée pour les estimateurs du maximum de vraisemblance: $\\hat{\\mu} = \\overline{x} \\equiv \\frac{1}{n}\\sum_{i=1}^n x_i$, $\\hat{\\sigma}^2 = \\frac{1}{n} \\sum_{i=1}^n (x_i - \\overline{x})^2$.\n", + " * Vérifiez en les implémentant directement que vous trouvez bien la même solution que le minimum obtenu en utilisant [scipy.optimize.minimize](http://docs.scipy.org/doc/scipy/reference/generated/scipy.optimize.minimize.html) pour minimiser l'opposé de la log-vraissemblance." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Références" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "* [100 numpy exercises](http://www.loria.fr/~rougier/teaching/numpy.100/)\n", + "* [Un tutoriel bien fait et très complet sur numpy](http://www.tp.umu.se/~nylen/pylect/intro/numpy/numpy.html). L'un des auteurs n'est autre que Gaël Varoquaux qui sera présent pour la séance 3. Voir aussi l'[ensemble du tutoriel](http://www.tp.umu.se/~nylen/pylect/index.html) et notamment la [partie optimisation](http://www.tp.umu.se/~nylen/pylect/intro/scipy.html#optimization-and-fit-scipy-optimize) " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "## Eléments de réponses pour les exercices" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice 1: Echiquier et Crible d'Erathosthene" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "* Exercice 1-A Echiquier: Créer une matrice échiquier (des 1 et des 0 alternés) de taille 8x8, de deux façons différentes\n", + " * en vous servant de slices \n", + " * en vous servant de la fonction [tile](http://docs.scipy.org/doc/numpy/reference/generated/numpy.tile.html#numpy.tile)\n" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[1 0 1 0 1 0 1 0]\n", + " [0 1 0 1 0 1 0 1]\n", + " [1 0 1 0 1 0 1 0]\n", + " [0 1 0 1 0 1 0 1]\n", + " [1 0 1 0 1 0 1 0]\n", + " [0 1 0 1 0 1 0 1]\n", + " [1 0 1 0 1 0 1 0]\n", + " [0 1 0 1 0 1 0 1]]\n", + "[[1 0 1 0 1 0 1 0]\n", + " [0 1 0 1 0 1 0 1]\n", + " [1 0 1 0 1 0 1 0]\n", + " [0 1 0 1 0 1 0 1]\n", + " [1 0 1 0 1 0 1 0]\n", + " [0 1 0 1 0 1 0 1]\n", + " [1 0 1 0 1 0 1 0]\n", + " [0 1 0 1 0 1 0 1]]\n" + ] + } + ], + "source": [ + "import numpy as np\n", + "\n", + "# Exo1a-1:\n", + "chess = np.zeros((8, 8), dtype=int)\n", + "chess[::2, ::2] = 1\n", + "chess[1::2, 1::2] = 1\n", + "print(chess)\n", + "\n", + "# Exo1a-2:\n", + "chess2 = np.tile([[1, 0], [0, 1]], (4, 4))\n", + "print(chess2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "* Exercice 1-B Piège lors d'une extraction 2d:\n", + " * Définir la matrice $M = \\left(\\begin{array}{ccccc} 1 & 5 & 9 & 13 & 17 \\\\ 2 & 6 & 10 & 14 & 18 \\\\ 3 & 7 & 11 & 15 & 19 \\\\ 4 & 8 & 12 & 16 & 20 \\\\ \\end{array}\\right)$\n", + " * En **extraire** la matrice $\\left(\\begin{array}{ccc} 6 & 18 & 10 \\\\ 7 & 19 & 11 \\\\ 5 & 17 & 9 \\\\ \\end{array}\\right)$" + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[ 1 5 9 13 17]\n", + " [ 2 6 10 14 18]\n", + " [ 3 7 11 15 19]\n", + " [ 4 8 12 16 20]]\n", + "WRONG: [ 6 19 9]\n", + "########\n", + "[[ 6 18 10]\n", + " [ 7 19 11]\n", + " [ 5 17 9]]\n", + "(array([[1],\n", + " [2],\n", + " [0]]), array([[1, 4, 2]]))\n", + "[[ 6 18 10]\n", + " [ 7 19 11]\n", + " [ 5 17 9]]\n" + ] + } + ], + "source": [ + "# Exo1B:\n", + "M = np.arange(1, 21).reshape((4, 5), order=\"F\")\n", + "print(M)\n", + "\n", + "idx_row = [1, 2, 0]\n", + "idx_col = [1, 4, 2]\n", + "# the following line is wrong: it create couples from the two lists\n", + "print(\"WRONG:\", M[idx_row, idx_col])\n", + "print(\"########\")\n", + "# first correct way:\n", + "print(M[idx_row][:, idx_col])\n", + "# we can also use broadcasted indices to create all the couples we want:\n", + "idx = np.ix_(idx_row, idx_col)\n", + "print(idx)\n", + "print(M[idx])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "* Exercice 1-C Crible d'Erathosthene: On souhaite implémenter un [crible d'Erathosthène](http://fr.wikipedia.org/wiki/Crible_d'%C3%89ratosth%C3%A8ne) pour trouver les nombres premiers inférieurs à $N=1000$.\n", + " * partir d'un array de booléens de taille N+1, tous égaux à True.\n", + " * Mettre 0 et 1 à False car ils ne sont pas premiers\n", + " * pour chaque entier $k$ entre 2 et $\\sqrt{N}$: \n", + " * si $k$ est premier: on passe ses multiples (entre $k^2$ et $N$) à False\n", + " * on print la liste des entiers premiers" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[ 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61\n", + " 67 71 73 79 83 89 97 101 103 107 109 113 127 131 137 139 149 151\n", + " 157 163 167 173 179 181 191 193 197 199 211 223 227 229 233 239 241 251\n", + " 257 263 269 271 277 281 283 293 307 311 313 317 331 337 347 349 353 359\n", + " 367 373 379 383 389 397 401 409 419 421 431 433 439 443 449 457 461 463\n", + " 467 479 487 491 499 503 509 521 523 541 547 557 563 569 571 577 587 593\n", + " 599 601 607 613 617 619 631 641 643 647 653 659 661 673 677 683 691 701\n", + " 709 719 727 733 739 743 751 757 761 769 773 787 797 809 811 821 823 827\n", + " 829 839 853 857 859 863 877 881 883 887 907 911 919 929 937 941 947 953\n", + " 967 971 977 983 991 997]\n" + ] + } + ], + "source": [ + "# Exo1c\n", + "n = 1001\n", + "is_prime = np.ones(n, dtype=bool)\n", + "is_prime[:2] = False\n", + "\n", + "for k in range(2, int(np.sqrt(n)) + 1):\n", + " is_prime[k**2 :: k] = False\n", + "print(np.arange(n)[is_prime])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On remarque que le nombre 6 est barré deux fois car il est multiple de 3 et de 2. Cela signifie que le nombre 6 est barré durant les deux premières itérations. En fait chaque nombre ``k*i`` est nécessaire barré dans une précédente itération si ``i" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# let's have a quick look at a few random walks\n", + "plt.plot(walks[:10, :].transpose())\n", + "plt.title(\"A few random walks\")\n", + "# Let's see how the root mean square of the position evolves with time/nb of steps\n", + "rms_position = np.sqrt((walks**2).mean(axis=0))\n", + "plt.figure()\n", + "t = 1 + np.arange(len(rms_position))\n", + "plt.plot(t, np.sqrt(t), \":b\", lw=3) # Just to show the fit\n", + "plt.plot(t, rms_position, \"-r\", lw=2)\n", + "plt.title(\"Root Mean Square of Position by Time\")\n", + "# What are the highest/lowest positions\n", + "print(\n", + " \"Highest position:{max}\\tLowest position:{min}\".format(\n", + " max=walks.max(), min=walks.min()\n", + " )\n", + ")\n", + "# How many walks wander further than 50?\n", + "bound = 50\n", + "hits_the_bound = np.any(\n", + " np.abs(walks) > bound, axis=1\n", + ") # for each walk, do we go further than the bound at any time?\n", + "print(\"Number of walks over bound(={}):{}\".format(bound, hits_the_bound.sum()))\n", + "# Among the walks that go beyond the bound, what is the mean of the first hits?\n", + "# we use argmax on the boolean array to get the first True value\n", + "first_hits = (np.abs(walks[hits_the_bound, :]) > bound).argmax(axis=1)\n", + "print(\"Mean crossing time:{}\".format(first_hits.mean()))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice 3 : retrouver la série aléatoire à partir des marches aléatoires\n", + "\n", + "Dans cet exercice, on cherche à retrouver la série initiale à partir de la somme cumulée de celle-ci. On veut calculer en quelque sort sa dérivée." + ] + }, + { + "cell_type": "code", + "execution_count": 78, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[-1, 1, 1, -1, 1, -1, 1, 1, 1, -1],\n", + " [-1, -1, -1, -1, -1, 1, 1, 1, 1, -1],\n", + " [ 1, -1, 1, 1, -1, 1, -1, -1, -1, 1],\n", + " [-1, -1, -1, 1, 1, -1, -1, 1, -1, -1],\n", + " [ 1, -1, -1, 1, -1, 1, -1, 1, 1, -1],\n", + " [ 1, -1, -1, -1, 1, 1, -1, 1, 1, 1],\n", + " [-1, -1, 1, 1, 1, 1, 1, 1, -1, -1],\n", + " [ 1, -1, 1, 1, -1, 1, 1, -1, -1, -1],\n", + " [ 1, -1, -1, -1, 1, -1, 1, 1, -1, 1],\n", + " [-1, 1, -1, 1, 1, 1, -1, 1, 1, 1]])" + ] + }, + "execution_count": 78, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "derivee = walks[:, 1:] - walks[:, :-1]\n", + "derivee[:10, :10]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice 4 : simulation, régression, estimation par maximisation de la vraisemblance" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "* On commence par simuler la variable $Y = 3 X_1 -2 X_2 +2 + \\epsilon$ où $X_1,X_2,\\epsilon \\sim \\mathcal{N}(0,1)$ \n", + "* On souhaite ensuite retrouver les coefficients dans la [régression linéaire](http://fr.wikipedia.org/wiki/R%C3%A9gression_lin%C3%A9aire) de $Y$ sur $X_1$ et $X_2$ dans un modèle avec constante, par la méthode des Moindres Carrés Ordinaires. On rappelle que la forme matricielle de l'estimateur des MCO est $\\hat{\\beta} = (X'X)^{-1}X'Y$\n", + "* Enfin, $Y$ étant normale, on souhaite estimer ses paramètres par maximisation de vraisemblance:\n", + " * La densité s'écrit: $f(x, \\mu, \\sigma) = \\frac{1}{\\sigma \\sqrt{2\\pi} } e^{ -\\frac{(x-\\mu)^2}{2\\sigma^2} }$\n", + " * La log-vraisemblance: $\\ln\\mathcal{L}(\\mu,\\sigma^2) = \\sum_{i=1}^n \\ln f(x_i;\\,\\mu,\\sigma^2) = -\\frac{n}{2}\\ln(2\\pi) - \\frac{n}{2}\\ln\\sigma^2 - \\frac{1}{2\\sigma^2}\\sum_{i=1}^n (x_i-\\mu)^2$ ou encore en divisant par $n$ : $-\\frac{1}{2}\\ln(2\\pi) - \\frac{1}{2}\\ln\\sigma^2 - \\frac{1}{2n\\sigma^2}\\sum_{i=1}^n (x_i-\\mu)^2$\n", + " * L'écriture des conditions au premier ordre donne une formule fermée pour les estimateurs du maximum de vraisemblance: $\\hat{\\mu} = \\overline{x} \\equiv \\frac{1}{n}\\sum_{i=1}^n x_i$, $\\hat{\\sigma}^2 = \\frac{1}{n} \\sum_{i=1}^n (x_i - \\overline{x})^2$.\n", + " * Vérifiez en les implémentant directement que vous trouvez bien la même solution que le minimum obtenu en utilisant *scipy.optimize.minimize* pour minimiser l'opposé de la log-vraissemblance.\n", + " \n", + "**version matricielle**" + ] + }, + { + "cell_type": "code", + "execution_count": 79, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "coef X1, coef X2, constante\n" + ] + }, + { + "data": { + "text/plain": [ + "array([ 3.00812605, -1.99973777, 2.00057066])" + ] + }, + "execution_count": 79, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import numpy as np\n", + "import math\n", + "from scipy.optimize import minimize\n", + "\n", + "n_samples = 100000\n", + "x1_x2_eps = np.random.randn(n_samples, 3)\n", + "y = 3 * x1_x2_eps[:, 0] - 2 * x1_x2_eps[:, 1] + 2 + x1_x2_eps[:, 2]\n", + "\n", + "X = np.hstack((x1_x2_eps[:, :2], np.ones((n_samples, 1))))\n", + "beta_hat = (np.linalg.inv((X.T).dot(X))).dot((X.T).dot(y))\n", + "print(\"coef X1, coef X2, constante\")\n", + "beta_hat" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**version scipy**" + ] + }, + { + "cell_type": "code", + "execution_count": 80, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + " message: Optimization terminated successfully.\n", + " success: True\n", + " status: 0\n", + " fun: 1.8227556954721078\n", + " x: [ 1.985e+00 1.409e+01]\n", + " nit: 32\n", + " nfev: 60\n", + " final_simplex: (array([[ 1.985e+00, 1.409e+01],\n", + " [ 1.985e+00, 1.409e+01],\n", + " [ 1.985e+00, 1.409e+01]]), array([ 1.823e+00, 1.823e+00, 1.823e+00]))" + ] + }, + "execution_count": 80, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def log_likelihood(mu, sigma_square, x):\n", + " return -0.5 * math.log(sigma_square) - sum((x - mu) ** 2) / (\n", + " 2 * sigma_square\n", + " ) / len(x)\n", + "\n", + "\n", + "def neg_log_likelihood_vectorielle(theta):\n", + " return -log_likelihood(theta[0], theta[1], y)\n", + "\n", + "\n", + "theta0 = np.array([2.0, 14])\n", + "optim_res = minimize(neg_log_likelihood_vectorielle, theta0, method=\"Nelder-Mead\")\n", + "optim_res" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Est-ce bien le résultat attendu :\n", + "\n", + "* $\\mathbb{E}Y = 3\\mathbb{E}X_1 - 2\\mathbb{E}X_2 + 2 + \\mathbb{E}\\epsilon = 2$\n", + "* $\\mathbb{V}Y = 9\\mathbb{V}X_1 + 4\\mathbb{V}X_2 + \\mathbb{V}\\epsilon = 14$\n", + "\n", + "Toutes les variables sont indépendantes. On vérifie que cela correspond aux réponses cherchées :" + ] + }, + { + "cell_type": "code", + "execution_count": 81, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(1.9849712243224127, 14.090649071258898)" + ] + }, + "execution_count": 81, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.mean(y), np.std(y) ** 2" + ] + }, + { + "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": "3.10.6" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/_doc/c_data/nb_dataframe.ipynb b/_doc/c_data/nb_dataframe.ipynb new file mode 100644 index 00000000..3cda04ae --- /dev/null +++ b/_doc/c_data/nb_dataframe.ipynb @@ -0,0 +1,4300 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# DataFrame et Graphes\n", + "\n", + "Les [Dataframe](https://fr.wikipedia.org/wiki/Pandas) se sont imposés pour manipuler les données. Avec cette façon de représenter les données, associée à des méthodes couramment utilisées, ce qu'on faisait en une ou deux boucles se fait maintenant en une seule fonction. Le module [pandas](http://pandas.pydata.org/) est très utilisé, il existe de nombreux [tutoriels](http://pandas.pydata.org/pandas-docs/stable/tutorials.html), ou page de recettes pour les usages les plus fréquents : [cookbook](http://pandas.pydata.org/pandas-docs/stable/cookbook.html#cookbook)." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "# Cette première instruction indique à Jupyter d'insérer les graphiques\n", + "# dans le notebook plutôt que dans une fenêtre externe.\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "La première instruction ``%matplotlib`` est spécifique aux notebooks. Sans cela, les graphiques ne sont pas insérées dans la page elle-même mais cela ne s'applique qu'aux notebooks et provoquera une erreur sur [Spyder](https://github.com/spyder-ide/spyder) par exemple." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## DataFrame\n", + "\n", + "Pour faire court, c'est l'équivalent d'une feuille Excel ou d'une table SQL.\n", + "\n", + "**Taille de DataFrame**\n", + "\n", + "Les DataFrame en Python sont assez rapides lorsqu'il y a moins de 10 millions d'observations et que le fichier texte qui décrit les données n'est pas plus gros que 10 Mo. Au delà, il faut soit être patient, soit être astucieux comme ici : [DataFrame et SQL](http://www.xavierdupre.fr/blog/2014-07-19_nojs.html), [Data Wrangling with Pandas](http://nbviewer.jupyter.org/urls/gist.github.com/fonnesbeck/5850413/raw/3a9406c73365480bc58d5e75bc80f7962243ba17/2.+Data+Wrangling+with+Pandas.ipynb). D'autres options seront proposées plus tard durant ce cours.\n", + "\n", + "**Valeurs manquantes**\n", + "\n", + "Lorsqu'on récupère des données, il peut arriver qu'une valeur soit manquante ([Working with missing data](http://pandas.pydata.org/pandas-docs/dev/missing_data.html))." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from IPython.display import Image\n", + "\n", + "Image(\"td2df.png\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Pour manipuler les dataframe, on utilise le module [pandas](http://pandas.pydata.org/). Il est prévu pour manipuler les données d'une table par **bloc** (une sous-table). Tant qu'on manipule des blocs, le module est rapide." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Series\n", + "\n", + "Une [Series](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.Series.html) est un objet uni-dimensionnel similaire à un tableau, une liste ou une colonne d'une table. Chaque valeur est associée à un **index** qui est par défaut les entiers de 0 à $N-1$ (avec $N$ la longueur de la [Series](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.Series.html))." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0 42\n", + "1 Hello World!\n", + "2 3.14\n", + "3 -5\n", + "4 None\n", + "dtype: object" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import pandas\n", + "from pandas import Series\n", + "import numpy\n", + "\n", + "s = Series([42, \"Hello World!\", 3.14, -5, None, numpy.nan])\n", + "s.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On peut aussi préciser les indices lors de la création, ou construire la [Series](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.Series.html) à partir d'un dictionnaire si on fournit un index avec un dictionnaire, les index qui ne sont pas des clés du dictionnaire seront des valeurs manquantes." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Paris14 75014\n", + "Paris18 75018\n", + "Malakoff 92240\n", + "Nice 6300\n", + "dtype: int64" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "s2 = Series(\n", + " [42, \"Hello World!\", 3.14, -5, None, numpy.nan],\n", + " index=[\"int\", \"string\", \"pi\", \"neg\", \"missing1\", \"missing2\"],\n", + ")\n", + "city2cp_dict = {\"Paris14\": 75014, \"Paris18\": 75018, \"Malakoff\": 92240, \"Nice\": 6300}\n", + "cities = Series(city2cp_dict)\n", + "cities" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Quelques liens pour comprendre le code suivant : [Series.isnull](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.Series.isnull.html), [Series.notnull](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.Series.notnull.html)." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Paris12 False\n", + "Paris14 True\n", + "Paris18 True\n", + "Malakoff True\n", + "Nice True\n", + "Vanves False\n", + "dtype: bool" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "cities_list = [\"Paris12\"] + list(city2cp_dict.keys()) + [\"Vanves\"]\n", + "cities2 = Series(city2cp_dict, index=cities_list)\n", + "pandas.isnull(cities2) # same as cities2.isnull()\n", + "pandas.notnull(cities2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On peut se servir de l'index pour sélectionner une ou plusieurs valeurs de la [Series](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.Series.html), éventuellement pour en changer la valeur. On peut aussi appliquer des opérations mathématiques, filtrer avec un booléen, ou encore tester la présence d'un élement." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Paris12 75.0\n", + "Paris14 75.0\n", + "Paris18 75.0\n", + "Malakoff 92.0\n", + "Nice 6.0\n", + "Vanves NaN\n", + "dtype: float64" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "cities2[\"Nice\"] # renvoie un scalaire\n", + "cities2[[\"Malakoff\", \"Paris14\"]] # renvoie une Series\n", + "cities2[\"Paris12\"] = 75012\n", + "dep = cities2 // 1000 # // pour une division entière\n", + "dep" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[pandas](http://pandas.pydata.org/) aligne automatiquement les données en utilisant l'index des [Series](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.Series.html) lorsqu'on fait une opération sur des series." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Paris14 True\n", + "Paris13 False\n" + ] + } + ], + "source": [ + "cities2[dep == 75]\n", + "\n", + "print(\"Paris14\", \"Paris14\" in cities2)\n", + "print(\"Paris13\", \"Paris13\" in cities2)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Malakoff 184480.0\n", + "Nice 12600.0\n", + "Paris12 NaN\n", + "Paris14 150028.0\n", + "Paris18 150036.0\n", + "Vanves NaN\n", + "dtype: float64" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# print(cities)\n", + "# print(cities2)\n", + "cities + cities2" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "*pandas* garde les lignes communes aux deux tables et additionnent les colonnes portant le même nom. On peut nommer la [Series](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.Series.html), ses index et même assigner un nouvel index à une [Series](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.Series.html) existante." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Ville\n", + "Paris12 75012.0\n", + "Paris14 75014.0\n", + "Paris18 75018.0\n", + "Malakoff 92240.0\n", + "Nice 6300.0\n", + "Vanves NaN\n", + "Name: Code Postal, dtype: float64\n", + "-------------\n", + "0 42\n", + "1 Hello World!\n", + "2 3.14\n", + "3 -5\n", + "4 None\n", + "5 NaN\n", + "dtype: object\n" + ] + } + ], + "source": [ + "cities2.name = \"Code Postal\"\n", + "cities2.index.name = \"Ville\"\n", + "print(cities2)\n", + "print(\"-------------\")\n", + "s2.index = range(6)\n", + "print(s2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## DataFrame (pandas)\n", + "\n", + "**Quelques liens :** [An Introduction to Pandas](http://synesthesiam.com/posts/an-introduction-to-pandas.html)\n", + "\n", + "Un [DataFrame](http://en.wikipedia.org/wiki/Data_frame) est un objet qui est présent dans la plupart des logiciels de traitements de données, c'est une **matrice**, chaque colonne est une [Series](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.Series.html) et est de même type (nombre, date, texte), elle peut contenir des valeurs manquantes ([nan](http://docs.scipy.org/doc/numpy/user/misc.html)). On peut considérer chaque colonne comme les variables d'une table ([pandas.Dataframe](http://pandas.pydata.org/pandas-docs/dev/generated/pandas.DataFrame.html) - cette page contient toutes les méthodes de la classe).\n", + "\n", + "Un [Dataframe](http://pandas.pydata.org/pandas-docs/dev/generated/pandas.DataFrame.html) représente une table de données, i.e. une collection ordonnées de colonnes.\n", + "Ces colonnes/lignes peuvent avoir des types différents (numérique, string, boolean).\n", + "Cela est très similaire aux [DataFrame](http://www.r-tutor.com/r-introduction/data-frame) du langage R (en apparence...), avec un traitement plus symétrique des lignes et des colonnes." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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dateprixdevise
02014-06-22220.0euros
12014-06-23221.0euros
\n", + "
" + ], + "text/plain": [ + " date prix devise\n", + "0 2014-06-22 220.0 euros\n", + "1 2014-06-23 221.0 euros" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import pandas\n", + "\n", + "l = [\n", + " {\"date\": \"2014-06-22\", \"prix\": 220.0, \"devise\": \"euros\"},\n", + " {\"date\": \"2014-06-23\", \"prix\": 221.0, \"devise\": \"euros\"},\n", + "]\n", + "df = pandas.DataFrame(l)\n", + "df" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Avec une valeur manquante :" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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dateprixdevise
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" + ], + "text/plain": [ + " date prix devise\n", + "0 2014-06-22 220.0 euros\n", + "1 2014-06-23 NaN euros" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "l = [\n", + " {\"date\": \"2014-06-22\", \"prix\": 220.0, \"devise\": \"euros\"},\n", + " {\"date\": \"2014-06-23\", \"devise\": \"euros\"},\n", + "]\n", + "df = pandas.DataFrame(l)\n", + "df" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[NaN](http://docs.scipy.org/doc/numpy/reference/generated/numpy.isnan.html#numpy.isnan) est une convention pour une valeur manquante. On extrait la variable ``prix`` :" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0 220.0\n", + "1 NaN\n", + "Name: prix, dtype: float64" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.prix" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Ou :" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0 220.0\n", + "1 NaN\n", + "Name: prix, dtype: float64" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df[\"prix\"]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Pour extraire plusieurs colonnes :" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "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", + "
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" + ], + "text/plain": [ + " date prix\n", + "0 2014-06-22 220.0\n", + "1 2014-06-23 NaN" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df[[\"date\", \"prix\"]]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Pour prendre la transposée (voir aussi [DataFrame.transpose](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.Panel.transpose.html)) :" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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date2014-06-222014-06-23
prix220.0NaN
deviseeuroseuros
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" + ], + "text/plain": [ + " 0 1\n", + "date 2014-06-22 2014-06-23\n", + "prix 220.0 NaN\n", + "devise euros euros" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.T" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Lecture et écriture de DataFrame\n", + "\n", + "Aujourd'hui, on n'a plus besoin de réécrire soi-même une fonction de lecture ou d'écriture de données présentées sous forme de tables. Il existe des fonctions plus génériques qui gère un grand nombre de cas.\n", + "Cette section présente brièvement les fonctions qui permettent de lire/écrire un [DataFrame](http://en.wikipedia.org/wiki/Data_frame) aux formats [texte](http://fr.wikipedia.org/wiki/Fichier_texte)/[Excel](http://fr.wikipedia.org/wiki/Microsoft_Excel). On reprend l'exemple de section précédente. L'instruction ``encoding=utf-8`` n'est pas obligatoire mais conseillée lorsque les données contiennent des accents (voir [read_csv](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.io.parsers.read_csv.html))." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "date\tprix\tdevise\n", + "2014-06-22\t220.0\teuros\n", + "2014-06-23\t221.0\teuros\n", + "\n" + ] + }, + { + "data": { + "text/plain": [ + "['/bin/bash: line 1: exemple.xlsx: command not found']" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import pandas\n", + "\n", + "l = [\n", + " {\"date\": \"2014-06-22\", \"prix\": 220.0, \"devise\": \"euros\"},\n", + " {\"date\": \"2014-06-23\", \"prix\": 221.0, \"devise\": \"euros\"},\n", + "]\n", + "df = pandas.DataFrame(l)\n", + "\n", + "# écriture au format texte\n", + "df.to_csv(\"exemple.txt\", sep=\"\\t\", encoding=\"utf-8\", index=False)\n", + "\n", + "# on regarde ce qui a été enregistré\n", + "with open(\"exemple.txt\", \"r\", encoding=\"utf-8\") as f:\n", + " text = f.read()\n", + "print(text)\n", + "\n", + "# on enregistre au format Excel\n", + "df.to_excel(\"exemple.xlsx\", index=False)\n", + "\n", + "# special jupyter - notebook\n", + "%system \"exemple.xlsx\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On peut récupérer des données directement depuis Internet ou une chaîne de caractères et afficher le début ([head](pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.head.html)) ou la fin ([tail](pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.tail.html)).\n", + "\n", + "**Aparté :** lire [StringIO](http://www.xavierdupre.fr/app/ensae_teaching_cs/helpsphinx/all_FAQ.html#a-quoi-sert-un-stringio)\n", + "**Données :** [marathon.txt](https://raw.githubusercontent.com/sdpython/ensae_teaching_cs/master/src/ensae_teaching_cs/data/data_1a/marathon.txt).\n", + "\n", + "La fonction [marathon](http://www.xavierdupre.fr/app/ensae_teaching_cs/helpsphinx/ensae_teaching_cs/data/data1a.html?highlight=marathon#ensae_teaching_cs.data.data1a.marathon) fait partie du module [ensae_teaching_cs](https://pypi.python.org/pypi/ensae_teaching_cs). Ce module n'est pas nécessaire si on télécharge directement les données, il automatise certains opérations qui sans cela seraient manuelles. Pour l'installer ``pip install ensae_teaching_cs``." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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villeanneetempssecondes
0PARIS201102:06:297589
1PARIS201002:06:417601
2PARIS200902:05:477547
3PARIS200802:06:407600
4PARIS200702:07:177637
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" + ], + "text/plain": [ + " ville annee temps secondes\n", + "0 PARIS 2011 02:06:29 7589\n", + "1 PARIS 2010 02:06:41 7601\n", + "2 PARIS 2009 02:05:47 7547\n", + "3 PARIS 2008 02:06:40 7600\n", + "4 PARIS 2007 02:07:17 7637" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from ensae_teaching_cs.data import marathon\n", + "import pandas\n", + "\n", + "df = pandas.read_csv(\n", + " marathon(filename=True), sep=\"\\t\", names=[\"ville\", \"annee\", \"temps\", \"secondes\"]\n", + ")\n", + "df.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "La fonction [describe](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.describe.html) permet d'en savoir un peu plus sur les colonnes numériques de cette table." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "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", + "
prix
count2.000000
mean220.500000
std0.707107
min220.000000
25%220.250000
50%220.500000
75%220.750000
max221.000000
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" + ], + "text/plain": [ + " prix\n", + "count 2.000000\n", + "mean 220.500000\n", + "std 0.707107\n", + "min 220.000000\n", + "25% 220.250000\n", + "50% 220.500000\n", + "75% 220.750000\n", + "max 221.000000" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.describe()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### DataFrame et Index\n", + "\n", + "On désigne généralement une colonne ou *variable* par son nom. Les lignes peuvent être désignées par un entier." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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dateprixdevise
02014-06-22220.0euros
12014-06-23221.0euros
\n", + "
" + ], + "text/plain": [ + " date prix devise\n", + "0 2014-06-22 220.0 euros\n", + "1 2014-06-23 221.0 euros" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import pandas\n", + "\n", + "l = [\n", + " {\"date\": \"2014-06-22\", \"prix\": 220.0, \"devise\": \"euros\"},\n", + " {\"date\": \"2014-06-23\", \"prix\": 221.0, \"devise\": \"euros\"},\n", + "]\n", + "df = pandas.DataFrame(l)\n", + "df" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On extrait une ligne avec ([iloc](http://pandas.pydata.org/pandas-docs/dev/generated/pandas.DataFrame.iloc.html))." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "date 2014-06-23\n", + "prix 221.0\n", + "devise euros\n", + "Name: 1, dtype: object" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.iloc[1]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On extrait une colonne avec [loc]( ou [iloc](https://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.loc.html)." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "date 2014-06-23\n", + "prix 221.0\n", + "devise euros\n", + "Name: 1, dtype: object" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.loc[1]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On extrait une valeur en indiquant sa position dans la table avec des entiers :" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'euros'" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.iloc[1, 2]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Avec [loc](https://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.loc.html), il faut préciser le nombre de la colonne." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Index(['date', 'prix', 'devise'], dtype='object')" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.columns" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "221.0" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.loc[1, \"prix\"]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Mais il est possible d'utiliser une colonne ou plusieurs colonnes comme index ([set_index](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.set_index.html)) :" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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prixdevise
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" + ], + "text/plain": [ + " prix devise\n", + "date \n", + "2014-06-22 220.0 euros\n", + "2014-06-23 221.0 euros" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dfi = df.set_index(\"date\")\n", + "dfi" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On peut maintenant désigner une ligne par une date avec [loc](https://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.loc.html) (mais pas [iloc](https://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.iloc.html) car [iloc](https://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.iloc.html) n'accepte que des entiers qui se réfère aux index de chaque dimension)." + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "prix 221.0\n", + "devise euros\n", + "Name: 2014-06-23, dtype: object" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dfi.loc[\"2014-06-23\"]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Il est possible d'utiliser plusieurs colonnes comme [index](http://pandas.pydata.org/pandas-docs/stable/indexing.html) :" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "arrondissement 18\n", + "Name: (dupré, xavier), dtype: int64" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df = pandas.DataFrame(\n", + " [\n", + " {\"prénom\": \"xavier\", \"nom\": \"dupré\", \"arrondissement\": 18},\n", + " {\"prénom\": \"clémence\", \"nom\": \"dupré\", \"arrondissement\": 15},\n", + " ]\n", + ")\n", + "dfi = df.set_index([\"nom\", \"prénom\"])\n", + "dfi.loc[\"dupré\", \"xavier\"]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Si on veut changer l'index ou le supprimer ([reset_index](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.reset_index.html)) :" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " prénom\n", + "nom arrondissement \n", + "dupré 18 xavier\n", + " 15 clémence" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dfi.reset_index(drop=False, inplace=True)\n", + "# le mot-clé drop pour garder ou non les colonnes servant d'index\n", + "# inplace signifie qu'on modifie l'instance et non qu'une copie est modifiée\n", + "# donc on peut aussi écrire dfi2 = dfi.reset_index(drop=False)\n", + "dfi.set_index([\"nom\", \"arrondissement\"], inplace=True)\n", + "dfi" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Les index sont particulièrement utiles lorsqu'il s'agit de fusionner deux tables. Pour des petites tables, la plupart du temps, il est plus facile de s'en passer." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Notation avec le symbole ``:``\n", + "\n", + "Le symbole ``:`` désigne une plage de valeurs." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "ename": "ModuleNotFoundError", + "evalue": "No module named 'ensae_teaching_cs'", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mModuleNotFoundError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn[30], line 2\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[39mimport\u001b[39;00m \u001b[39mpandas\u001b[39;00m\u001b[39m,\u001b[39m \u001b[39murllib\u001b[39;00m\u001b[39m.\u001b[39;00m\u001b[39mrequest\u001b[39;00m\n\u001b[0;32m----> 2\u001b[0m \u001b[39mfrom\u001b[39;00m \u001b[39mensae_teaching_cs\u001b[39;00m\u001b[39m.\u001b[39;00m\u001b[39mdata\u001b[39;00m \u001b[39mimport\u001b[39;00m marathon\n\u001b[1;32m 3\u001b[0m df \u001b[39m=\u001b[39m pandas\u001b[39m.\u001b[39mread_csv(marathon(), sep\u001b[39m=\u001b[39m\u001b[39m\"\u001b[39m\u001b[39m\\t\u001b[39;00m\u001b[39m\"\u001b[39m, names\u001b[39m=\u001b[39m[\u001b[39m\"\u001b[39m\u001b[39mville\u001b[39m\u001b[39m\"\u001b[39m, \u001b[39m\"\u001b[39m\u001b[39mannee\u001b[39m\u001b[39m\"\u001b[39m, \u001b[39m\"\u001b[39m\u001b[39mtemps\u001b[39m\u001b[39m\"\u001b[39m,\u001b[39m\"\u001b[39m\u001b[39msecondes\u001b[39m\u001b[39m\"\u001b[39m])\n\u001b[1;32m 4\u001b[0m df\u001b[39m.\u001b[39mhead()\n", + "\u001b[0;31mModuleNotFoundError\u001b[0m: No module named 'ensae_teaching_cs'" + ] + } + ], + "source": [ + "import pandas, urllib.request\n", + "\n", + "df = pandas.read_csv(\n", + " \"https://github.com/sdpython/teachpyx/raw/exos/_data/paris_54000.zip\",\n", + " sep=\"\\t\",\n", + " names=[\"ville\", \"annee\", \"temps\", \"secondes\"],\n", + ")\n", + "df.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On peut sélectionner un sous-ensemble de lignes :" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " year time\n", + "3 2008 02:06:40\n", + "4 2007 02:07:17\n", + "5 2006 02:08:03\n", + "6 2005 02:08:02" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sub = df.loc[3:6, [\"annee\", \"temps\"]]\n", + "sub.columns = [\"year\", \"time\"]\n", + "sub" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice 1 : créer un fichier Excel\n", + " \n", + "On souhaite récupérer les données [donnees_enquete_2003_television.txt](http://www.xavierdupre.fr/enseignement/complements/donnees_enquete_2003_television.txt) (source : [INSEE](http://www.insee.fr/fr/themes/detail.asp?ref_id=fd-hdv03&page=fichiers_detail/HDV03/telechargement.htm)).\n", + "\n", + "* ``POIDSLOG`` : Pondération individuelle relative\n", + "* ``POIDSF`` : Variable de pondération individuelle\n", + "* ``cLT1FREQ`` : Nombre d'heures en moyenne passées à regarder la télévision \n", + "* ``cLT2FREQ`` : Unité de temps utilisée pour compter le nombre d'heures passées à regarder la télévision, cette unité est représentée par les quatre valeurs suivantes\n", + " * 0 : non concerné\n", + " * 1 : jour\n", + " * 2 : semaine\n", + " * 3 : mois \n", + " \n", + "Ensuite, on veut :\n", + "\n", + "1. Supprimer les colonnes vides\n", + "2. Obtenir les valeurs distinctes pour la colonne ``cLT2FREQ``\n", + "3. Modifier la matrice pour enlever les lignes pour lesquelles l'unité de temps (cLT2FREQ) n'est pas renseignée ou égale à zéro.\n", + "4. Sauver le résultat au format Excel.\n", + "\n", + "Vous aurez peut-être besoin des fonctions suivantes :\n", + "\n", + "* [numpy.isnan](http://docs.scipy.org/doc/numpy/reference/generated/numpy.isnan.html)\n", + "* [DataFrame.apply](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.apply.html)\n", + "* [DataFrame.fillna](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.fillna.html) ou [DataFrame.isnull](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.isnull.html) ou [DataFrame.notnull](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.notnull.html)\n", + "* [DataFrame.copy](http://pandas.pydata.org/pandas-docs/dev/generated/pandas.DataFrame.copy.html)" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import pandas, io\n", + "\n", + "# ..." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Manipuler un DataFrame\n", + "\n", + "Si la structure *DataFrame* s'est imposée, c'est parce qu'on effectue toujours les mêmes opérations. Chaque fonction cache une boucle ou deux dont le coût est précisé en fin de ligne :\n", + "\n", + "- **filter** : on sélectionne un sous-ensemble de lignes qui vérifie une condition $\\rightarrow O(n)$\n", + "- **union** : concaténation de deux jeux de données $\\rightarrow O(n_1 + n_2)$\n", + "- **sort** : tri $\\rightarrow O(n \\ln n)$\n", + "- **group by** : grouper des lignes qui partagent une valeur commune $\\rightarrow O(n)$\n", + "- **join** : fusionner deux jeux de données en associant les lignes qui partagent une valeur commune $\\rightarrow \\in [O(n_1 + n_2), O(n_1 n_2)]$\n", + "- **pivot** : utiliser des valeurs présentes dans colonne comme noms de colonnes $\\rightarrow O(n)$\n", + "\n", + "Les 5 premières opérations sont issues de la logique de manipulation des données avec le langage [SQL](http://fr.wikipedia.org/wiki/Structured_Query_Language) (ou le logiciel [SAS](http://www.sas.com)). La dernière correspond à un [tableau croisé dynamique](http://fr.wikipedia.org/wiki/Tableau_crois%C3%A9_dynamique). Pour illustrer ces opérations, on prendre le [DataFrame](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.html) suivant :" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Index(['ville', 'annee', 'temps', 'secondes'], dtype='object')\n", + "villes {'FUKUOKA', 'AMSTERDAM', 'CHICAGO', 'BERLIN', 'PARIS', 'LONDON', 'BOSTON', 'NEW YORK', 'STOCKOLM'}\n", + "annee [1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956] ...\n" + ] + } + ], + "source": [ + "import pandas\n", + "\n", + "df = pandas.read_csv(\n", + " \"https://github.com/sdpython/teachpyx/raw/main/_data/paris_54000.zip\",\n", + " sep=\"\\t\",\n", + " names=[\"ville\", \"annee\", \"temps\", \"secondes\"],\n", + ")\n", + "print(df.columns)\n", + "print(\"villes\", set(df.ville))\n", + "print(\"annee\", list(set(df.annee))[:10], \"...\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 6 opérations : filtrer, union, sort, group by, join, pivot" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### filter\n", + "\n", + "Filter consiste à sélectionner un sous-ensemble de lignes du dataframe. Pour filter sur plusieurs conditions, il faut utiliser les opérateurs logique & (et), | (ou), ~ (non) (voir [Mapping Operators to Functions](https://docs.python.org/3.4/library/operator.html#mapping-operators-to-functions)).\n", + "\n", + "* [filter](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.filter.html), [mask](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.mask.html),[where](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.where.html)\n", + "* [pandas: filter rows of DataFrame with operator chaining](http://stackoverflow.com/questions/11869910/pandas-filter-rows-of-dataframe-with-operator-chaining)\n", + "* [Indexing and Selecting Data](http://pandas.pydata.org/pandas-docs/stable/indexing.html)" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " ville annee temps secondes\n", + "285 BOSTON 1971 02:18:45 8325" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "subset = df[(df.annee == 1971) & (df.ville == \"BOSTON\")]\n", + "subset.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Les dernières versions de pandas ont introduit la méthode [query](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.query.html) qui permet de réduire encore l'écriture :" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " ville annee temps secondes\n", + "285 BOSTON 1971 02:18:45 8325" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "subset = df.query('(annee == 1971) & (ville == \"BOSTON\")')\n", + "subset.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### union\n", + "\n", + "union = concaténation de deux [DataFrame](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.html) (qui n'ont pas nécessairement les mêmes colonnes). On peut concaténer les lignes ou les colonnes.\n", + "\n", + "* [concat](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.concat.html)\n", + "* [Merge, join, and concatenate](http://pandas.pydata.org/pandas-docs/stable/merging.html)" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "((359, 4), (718, 4))" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "concat_ligne = pandas.concat((df, df))\n", + "df.shape, concat_ligne.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "((359, 4), (359, 8))" + ] + }, + "execution_count": 41, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "concat_col = pandas.concat((df, df), axis=1)\n", + "df.shape, concat_col.shape" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### sort\n", + "\n", + "Sort = trier\n", + "\n", + "* [sort](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.sort_values.html)" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " annee secondes\n", + "62 2009 8134\n", + "63 2010 7968\n", + "64 2011 8047" + ] + }, + "execution_count": 47, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def max_entier(x):\n", + " return int(max(x))\n", + "\n", + "\n", + "nb = df[[\"annee\", \"secondes\"]].groupby(\"annee\").agg(max_entier).reset_index()\n", + "nb.tail(n=3)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Ou encore considérer des aggrégations différentes pour chaque colonne :" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " ville secondes\n", + "annee \n", + "2009 9 8134\n", + "2010 9 7968\n", + "2011 5 8047" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "nb = (\n", + " df[[\"annee\", \"ville\", \"secondes\"]]\n", + " .groupby(\"annee\")\n", + " .agg({\"ville\": len, \"secondes\": max_entier})\n", + ")\n", + "nb.tail(n=3)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On veut extraire les deux meilleurs temps par ville :" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "series = df.groupby([\"ville\"]).apply(lambda r: r[\"secondes\"].nsmallest(2))" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[171,\n", + " 170,\n", + " 35,\n", + " 38,\n", + " 325,\n", + " 324,\n", + " 357,\n", + " 347,\n", + " 74,\n", + " 75,\n", + " 202,\n", + " 200,\n", + " 234,\n", + " 222,\n", + " 2,\n", + " 0,\n", + " 248,\n", + " 251]" + ] + }, + "execution_count": 50, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "indices = [t[1] for t in series.index]\n", + "indices" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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villeanneetempssecondes
171AMSTERDAM201002:05:447544
170AMSTERDAM200902:06:187578
35BERLIN201102:03:387418
38BERLIN200802:03:597439
325BOSTON201102:03:027382
324BOSTON201002:05:527552
357CHICAGO200902:05:417541
347CHICAGO199902:05:427542
74FUKUOKA200902:05:187518
75FUKUOKA200802:06:107570
202LONDON201102:04:407480
200LONDON200902:05:107510
234NEW YORK200102:07:437663
222NEW YORK198902:08:017681
2PARIS200902:05:477547
0PARIS201102:06:297589
248STOCKOLM198302:11:377897
251STOCKOLM198602:12:337953
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" + ], + "text/plain": [ + " ville annee temps secondes\n", + "171 AMSTERDAM 2010 02:05:44 7544\n", + "170 AMSTERDAM 2009 02:06:18 7578\n", + "35 BERLIN 2011 02:03:38 7418\n", + "38 BERLIN 2008 02:03:59 7439\n", + "325 BOSTON 2011 02:03:02 7382\n", + "324 BOSTON 2010 02:05:52 7552\n", + "357 CHICAGO 2009 02:05:41 7541\n", + "347 CHICAGO 1999 02:05:42 7542\n", + "74 FUKUOKA 2009 02:05:18 7518\n", + "75 FUKUOKA 2008 02:06:10 7570\n", + "202 LONDON 2011 02:04:40 7480\n", + "200 LONDON 2009 02:05:10 7510\n", + "234 NEW YORK 2001 02:07:43 7663\n", + "222 NEW YORK 1989 02:08:01 7681\n", + "2 PARIS 2009 02:05:47 7547\n", + "0 PARIS 2011 02:06:29 7589\n", + "248 STOCKOLM 1983 02:11:37 7897\n", + "251 STOCKOLM 1986 02:12:33 7953" + ] + }, + "execution_count": 51, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.loc[indices]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### join (_merge_ ou fusion)\n", + "\n", + "Fusionner deux tables consiste à apparier les lignes de la première table avec celle de la seconde si certaines colonnes de ces lignes partagent les mêmes valeurs. On distingue quatre cas :\n", + "\n", + "* ``INNER JOIN`` - **inner** : on garde tous les appariements réussis \n", + "* ``LEFT OUTER JOIN`` - **left** : on garde tous les appariements réussis et les lignes non appariées de la table de gauche\n", + "* ``RIGHT OUTER JOIN`` - **right** : on garde tous les appariements réussis et les lignes non appariées de la table de droite\n", + "* ``FULL OUTER JOIN`` - **outer** : on garde tous les appariements réussis et les lignes non appariées des deux tables\n", + "\n", + "Exemples et documentation :\n", + "* [merging, joining](http://pandas.pydata.org/pandas-docs/stable/merging.html#database-style-dataframe-joining-merging)\n", + "* [join](http://pandas.pydata.org/pandas-docs/stable/pandas.DataFrame.join.html)\n", + "* [merge](http://pandas.pydata.org/pandas-docs/stable/pandas.merge.html) ou [DataFrame.merge](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.merge.html)\n", + "* [jointures SQL](http://sql.sh/cours/jointures) - illustrations avec graphiques en patates\n", + "\n", + "Si les noms des colonnes utilisées lors de la fusion ne sont pas mentionnés, implicitement, c'est l'index qui sera choisi. Pour les grandes tables (> 1.000.000 lignes), il est fortement recommandé d'ajouter un index s'il n'existe pas avant de fusionner. **A quoi correspondent les quatre cas suivants (LEFT ou FULL ou RIGHT ou INNER) ?**" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "execution_count": 52, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from IPython.display import Image\n", + "\n", + "Image(\"patates.png\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On souhaite ajouter une colonne pays aux marathons se déroulant dans les villes suivantes." + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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CV
0USABOSTON
1USANEW YORK
2GermanyBERLIN
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" + ], + "text/plain": [ + " C V\n", + "0 USA BOSTON\n", + "1 USA NEW YORK\n", + "2 Germany BERLIN\n", + "3 UK LONDON\n", + "4 France PARIS" + ] + }, + "execution_count": 53, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "values = [\n", + " {\"V\": \"BOSTON\", \"C\": \"USA\"},\n", + " {\"V\": \"NEW YORK\", \"C\": \"USA\"},\n", + " {\"V\": \"BERLIN\", \"C\": \"Germany\"},\n", + " {\"V\": \"LONDON\", \"C\": \"UK\"},\n", + " {\"V\": \"PARIS\", \"C\": \"France\"},\n", + "]\n", + "pays = pandas.DataFrame(values)\n", + "pays" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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villeanneetempssecondesCV
0PARIS201102:06:297589FrancePARIS
1PARIS201002:06:417601FrancePARIS
192BOSTON201002:05:527552USABOSTON
193BOSTON201102:03:027382USABOSTON
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" + ], + "text/plain": [ + " ville annee temps secondes C V\n", + "0 PARIS 2011 02:06:29 7589 France PARIS\n", + "1 PARIS 2010 02:06:41 7601 France PARIS\n", + "192 BOSTON 2010 02:05:52 7552 USA BOSTON\n", + "193 BOSTON 2011 02:03:02 7382 USA BOSTON" + ] + }, + "execution_count": 54, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "dfavecpays = df.merge(pays, left_on=\"ville\", right_on=\"V\")\n", + "pandas.concat([dfavecpays.head(n=2), dfavecpays.tail(n=2)])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Question :** \n", + "\n", + "* **Que changerait l'ajout du paramètre ``how='outer'`` dans ce cas ?**\n", + "* **On cherche à joindre deux tables A,B qui ont chacune trois clés distinctes : $c_1, c_2, c_3$. Il y a respectivement dans chaque table $A_i$ et $B_i$ lignes pour la clé $c_i$. Combien la table finale issue de la fusion des deux tables contiendra-t-elle de lignes ?**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### pivot (tableau croisé dynamique)\n", + "\n", + "Cette opération consiste à créer une seconde table en utilisant utiliser les valeurs d'une colonne comme nom de colonnes. \n", + "\n", + "| A | B | C |\n", + "| --- | --- | --- |\n", + "| A1 | B1 | C1 |\n", + "| A1 | B2 | C2 |\n", + "| A2 | B1 | C3 |\n", + "| A2 | B2 | C4 |\n", + "| A2 | B3 | C5 |\n", + "\n", + "L'opération ``pivot(A,B,C)`` donnera :\n", + "\n", + "| A | B1 | B2 | B3 |\n", + "| --- | --- | --- | --- |\n", + "| A1 | C1 | C2 | |\n", + "| A2 | C3 | C4 | C5 |\n", + "\n", + "* [pivot](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.pivot.html), [pivot_table](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.tools.pivot.pivot_table.html)\n", + "* [Reshaping and Pivot Tables](http://pandas.pydata.org/pandas-docs/stable/reshaping.html)\n", + "* [Tableau croisé dynamique - wikipédia](http://fr.wikipedia.org/wiki/Tableau_crois%C3%A9_dynamique)\n", + "\n", + "On applique cela aux marathons où on veut avoir les villes comme noms de colonnes et une année par ligne." + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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2011None02:03:3802:03:02NoneNone02:04:40None02:06:2902:14:07
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" + ], + "text/plain": [ + "ville AMSTERDAM BERLIN BOSTON CHICAGO FUKUOKA LONDON NEW YORK \\\n", + "annee \n", + "1967 None None 02:15:45 None 02:09:37 None None \n", + "1968 None None 02:22:17 None 02:10:48 None None \n", + "1969 None None 02:13:49 None 02:11:13 None None \n", + "1987 02:12:40 02:11:11 02:11:50 None 02:08:18 02:09:50 02:11:01 \n", + "1988 02:12:38 02:11:45 02:08:43 02:08:57 02:11:04 02:10:20 02:08:20 \n", + "1989 02:13:52 02:10:11 02:09:06 02:11:25 02:12:54 02:09:03 02:08:01 \n", + "2009 02:06:18 02:06:08 02:08:42 02:05:41 02:05:18 02:05:10 02:09:15 \n", + "2010 02:05:44 02:05:08 02:05:52 02:06:23 02:08:24 02:05:19 02:08:14 \n", + "2011 None 02:03:38 02:03:02 None None 02:04:40 None \n", + "\n", + "ville PARIS STOCKOLM \n", + "annee \n", + "1967 None None \n", + "1968 None None \n", + "1969 None None \n", + "1987 02:11:09 02:13:52 \n", + "1988 02:13:53 02:14:26 \n", + "1989 02:13:03 02:13:34 \n", + "2009 02:05:47 02:15:34 \n", + "2010 02:06:41 02:12:48 \n", + "2011 02:06:29 02:14:07 " + ] + }, + "execution_count": 55, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "piv = df.pivot(\"annee\", \"ville\", \"temps\")\n", + "pandas.concat([piv[20:23], piv[40:43], piv.tail(n=3)])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Il existe une méthode qui effectue l'opération inverse : [Dataframe.stack](http://pandas.pydata.org/pandas-docs/dev/generated/pandas.DataFrame.stack.html)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Lambda fonctions\n", + "\n", + "Les [lambda expressions](https://docs.python.org/3.4/tutorial/controlflow.html#lambda-expressions) permettent une syntaxe plus légère (syntactic sugar) pour déclarer une fonction simple.\n", + "Cela est très utile pour passer une fonction en argument notamment. \n", + "Par exemple pour trier sur le 2ème element d'un tuple." + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[(4, 'four'), (1, 'one'), (3, 'three'), (2, 'two')]\n" + ] + } + ], + "source": [ + "pairs = [(1, \"one\"), (2, \"two\"), (3, \"three\"), (4, \"four\")]\n", + "pairs.sort(key=lambda pair: pair[1])\n", + "print(pairs)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On peut réécrire le groupby aggrégé par ``max_entier`` en utilisant une fonction lambda" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " annee secondes\n", + "62 2009 8134\n", + "63 2010 7968\n", + "64 2011 8047" + ] + }, + "execution_count": 57, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def max_entier(x):\n", + " return int(max(x))\n", + "\n", + "\n", + "nb = df[[\"annee\", \"secondes\"]].groupby(\"annee\").agg(max_entier).reset_index()\n", + "nb.tail(n=3)\n", + "# same as:\n", + "nb = df[[\"annee\", \"secondes\"]].groupby(\"annee\").agg(lambda x: int(max(x))).reset_index()\n", + "nb.tail(n=3)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice 2 : lambda fonction\n", + "\n", + "Ecrire une lambda fonction qui prend deux paramètres et qui est équivalente à la fonction suivante :" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def delta(x, y):\n", + " return max(x, y) - min(x, y)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On utilise beaucoup les lambda fonctions lorsqu'une fonction prend une fonction en argument :" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.3328334999999999" + ] + }, + "execution_count": 59, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def riemann(a, b, f, n):\n", + " return sum(f(a + (b - a) * i / n) for i in range(0, n)) / n\n", + "\n", + "\n", + "riemann(0, 1, lambda x: x**2, 1000)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Ensuite, il faut utiliser une lambda fonction et la fonction [apply](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.apply.html) pour tirer un échantillon aléatoire" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice 3 : moyennes par groupes\n", + " \n", + "Toujours avec le même jeu de données ([marathon.txt](http://www.xavierdupre.fr/enseignement/complements/marathon.txt)), on veut ajouter une ligne à la fin du tableau croisé dynamique contenant la moyenne en secondes des temps des marathons pour chaque ville." + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Avec ou sans index\n", + "\n", + "Une façon naïve de faire une jointure entre deux tables de taille $m$ et $n$ et de regarder toutes les $mn$ combinaisons possibles. La taille de la table résultante dépend du type de jointure (``inner``, ``outer``) et de l'unicité des clés utilisées pour la jointure. Si les clés sont uniques, la table finale aura au plus $m+n$ lignes (une par clé).\n", + "\n", + "Dans la plupart des cas, $O(mn)$ opérations est beaucoup trop long. On peut faire plus rapide en triant chacune des tables d'abord et en les fusionnant : $O(n \\ln n) + O(m \\ln m) + O(n+m)$. Si $m=n$, il est évident que cette façon de faire est plus rapide. C'est une des choses que fait [pandas (présentation)](http://fr.slideshare.net/wesm/a-look-at-pandas-design-and-development) (voir aussi [klib](https://github.com/attractivechaos/klib)). \n", + "\n", + "On peut trier une table selon une clé ou encore utiliser une [table de hachage](http://fr.wikipedia.org/wiki/Table_de_hachage)), il est alors très rapide de retrouver la ligne ou les lignes qui partagent cette clé. On dit que la table est **indexée** selon cette clé. Indexer selon une ou plusieurs colonnes une table accélère toute opération s'appuyant sur ces colonnes comme la recherche d'un élément.\n", + "\n", + "On veut comparer le temps nécessaire pour une recherche. Pour cela on utilise la ``%magic`` function ``%timeit`` (ou ``%%timeit`` si on veut l'[appliquer à la cellule](http://nbviewer.jupyter.org/github/jupyter/jupyter/blob/1.x/examples/notebooks/Cell%20Magics.ipynb)) de Jupyter." + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(100000, 3)" + ] + }, + "execution_count": 61, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import pandas, random\n", + "\n", + "big_df = pandas.DataFrame(\n", + " {\n", + " \"cle1\": random.randint(1, 100),\n", + " \"cle2\": random.randint(1, 100),\n", + " \"autre\": random.randint(1, 10),\n", + " }\n", + " for i in range(0, 100000)\n", + ")\n", + "big_df.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.07 ms ± 77.7 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n" + ] + } + ], + "source": [ + "%timeit big_df[(big_df.cle1 == 1) & (big_df.cle2 == 1)]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Et la version indexée :" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "374 µs ± 22.6 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n" + ] + } + ], + "source": [ + "big_dfi = big_df.set_index([\"cle1\", \"cle2\"])\n", + "big_dfi = big_dfi.sort_index() # Il ne faut oublier de trier.\n", + "%timeit big_dfi.loc[(1,1), :]" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " autre\n", + "cle1 cle2 \n", + "1 1 6\n", + " 1 1\n", + " 1 2\n", + " 1 10\n", + " 1 5" + ] + }, + "execution_count": 64, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "big_dfi.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Plus la table est grande, plus le gain est important.**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Dates\n", + "\n", + "Les dates sont souvent compliquées à gérer car on n'utilise pas le mêmes format dans tous les pays. Pour faire simple, je recommande deux options :\n", + "\n", + "* Soit convertir les dates/heures au format chaînes de caractères ``AAAA-MM-JJ hh:mm:ss:ms`` qui permet de trier les dates par ordre croissant.\n", + "* Soit convertir les dates/heures au format [datetime](https://docs.python.org/3/library/datetime.html) (date) ou [timedelta](https://docs.python.org/3/library/datetime.html#timedelta-objects) (durée) (voir [Quelques notions sur les dates](http://www.xavierdupre.fr/blog/notebooks/example%20pyensae.html#date), [format de date/heure](https://docs.python.org/3/library/datetime.html#strftime-strptime-behavior)).\n", + "\n", + "Par exemple, voici le code qui a permis de générer la colonne seconde de la table marathon :" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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villeanneetempssecondes
0PARIS201102:06:297589.0
1PARIS201002:06:417601.0
2PARIS200902:05:477547.0
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" + ], + "text/plain": [ + " ville annee temps secondes\n", + "0 PARIS 2011 02:06:29 7589.0\n", + "1 PARIS 2010 02:06:41 7601.0\n", + "2 PARIS 2009 02:05:47 7547.0\n", + "3 PARIS 2008 02:06:40 7600.0\n", + "4 PARIS 2007 02:07:17 7637.0" + ] + }, + "execution_count": 65, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from datetime import datetime, time\n", + "\n", + "df = pandas.read_csv(\n", + " marathon(), sep=\"\\t\", names=[\"ville\", \"annee\", \"temps\", \"secondes\"]\n", + ")\n", + "df = df[[\"ville\", \"annee\", \"temps\"]] # on enlève la colonne secondes pour la recréer\n", + "df[\"secondes\"] = df.apply(\n", + " lambda r: (\n", + " datetime.strptime(r.temps, \"%H:%M:%S\") - datetime(1900, 1, 1)\n", + " ).total_seconds(),\n", + " axis=1,\n", + ")\n", + "df.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Plot(s)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Récupération des données\n", + "\n", + "On récupère les données disponibles sur le site de l'INSEE : [Naissance, décès, mariages 2012](http://www.insee.fr/fr/themes/detail.asp?ref_id=fd-etatcivil2012&page=fichiers_detail/etatcivil2012/doc/documentation.htm). Il s'agit de récupérer la liste des mariages de l'année 2012. On souhaite représenter le graphe du nombre de mariages en fonction de l'écart entre les mariés." + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Download of etatcivil2012_mar2012_dbase.zip: DONE!\n", + "Download of etatcivil2012_nais2012_dbase.zip: DONE!\n", + "Download of etatcivil2012_dec2012_dbase.zip: DONE!\n" + ] + } + ], + "source": [ + "import urllib.request\n", + "import zipfile\n", + "import http.client\n", + "\n", + "\n", + "def download_and_save(name, root_url):\n", + " try:\n", + " response = urllib.request.urlopen(root_url + name)\n", + " except (TimeoutError, urllib.request.URLError, http.client.BadStatusLine):\n", + " # back up plan\n", + " root_url = \"http://www.xavierdupre.fr/enseignement/complements/\"\n", + " response = urllib.request.urlopen(root_url + name)\n", + " with open(name, \"wb\") as outfile:\n", + " outfile.write(response.read())\n", + "\n", + "\n", + "def unzip(name):\n", + " with zipfile.ZipFile(name, \"r\") as z:\n", + " z.extractall(\".\")\n", + "\n", + "\n", + "filenames = [\n", + " \"etatcivil2012_mar2012_dbase.zip\",\n", + " \"etatcivil2012_nais2012_dbase.zip\",\n", + " \"etatcivil2012_dec2012_dbase.zip\",\n", + "]\n", + "root_url = \"http://telechargement.insee.fr/fichiersdetail/etatcivil2012/dbase/\"\n", + "\n", + "for filename in filenames:\n", + " download_and_save(filename, root_url)\n", + " unzip(filename)\n", + " print(\"Download of {}: DONE!\".format(filename))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "L'exemple suivant pourrait ne pas marcher si le module [dbfread](https://github.com/olemb/dbfread/) n'est pas installé. Si tel est le cas, le programme utilisera une version des données après utilisation de ce module." + ] + }, + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "use of dbfread\n" + ] + }, + { + "data": { + "text/plain": [ + "((246123, 16),\n", + " Index(['ANAISH', 'DEPNAISH', 'INDNATH', 'ETAMATH', 'ANAISF', 'DEPNAISF',\n", + " 'INDNATF', 'ETAMATF', 'AMAR', 'MMAR', 'JSEMAINE', 'DEPMAR', 'DEPDOM',\n", + " 'TUDOM', 'TUCOM', 'NBENFCOM'],\n", + " dtype='object'))" + ] + }, + "execution_count": 67, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import pandas\n", + "\n", + "try:\n", + " from dbfread import DBF\n", + "\n", + " use_dbfread = True\n", + "except ImportError as e:\n", + " use_dbfread = False\n", + "\n", + "if use_dbfread:\n", + " print(\"use of dbfread\")\n", + "\n", + " def dBase2df(dbase_filename):\n", + " table = DBF(dbase_filename, load=True, encoding=\"cp437\")\n", + " return pandas.DataFrame(table.records)\n", + "\n", + " df = dBase2df(\"mar2012.dbf\")\n", + " # df.to_csv(\"mar2012.txt\", sep=\"\\t\", encoding=\"utf8\", index=False)\n", + "else:\n", + " print(\"use of zipped version\")\n", + " import pyensae.datasource\n", + "\n", + " data = pyensae.datasource.download_data(\"mar2012.zip\")\n", + " df = pandas.read_csv(data[0], sep=\"\\t\", encoding=\"utf8\", low_memory=False)\n", + "\n", + "df.shape, df.columns" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "L'[encoding](http://fr.wikipedia.org/wiki/Codage_des_caract%C3%A8res) est une façon de représenter les caractères spéciaux (comme les caractères accentuées). L'encoding le plus répandu est ``utf-8``. Sans la mention ``encoding=\"cp437\"``, la fonction qui lit le fichier fait des erreurs lors de la lecture car elle ne sait pas comment interpréter certains caractères spéciaux. On récupère de la même manière la signification des variables :" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(16, 4) Index(['VARIABLE', 'LIBELLE', 'TYPE', 'LONGUEUR'], dtype='object')\n" + ] + }, + { + "data": { + "text/html": [ + "
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VARIABLELIBELLETYPELONGUEUR
0AMARAnnée du mariageCHAR4
1ANAISFAnnée de naissance de l'épouseCHAR4
2ANAISHAnnée de naissance de l'épouxCHAR4
3DEPDOMDépartement de domicile après le mariageCHAR3
4DEPMARDépartement de mariageCHAR3
5DEPNAISFDépartement de naissance de l'épouseCHAR3
6DEPNAISHDépartement de naissance de l'épouxCHAR3
7ETAMATFÉtat matrimonial antérieur de l'épouseCHAR1
8ETAMATHÉtat matrimonial antérieur de l'épouxCHAR1
9INDNATFIndicateur de nationalité de l'épouseCHAR1
10INDNATHIndicateur de nationalité de l'épouxCHAR1
11JSEMAINEJour du mariage dans la semaineCHAR1
12MMARMois du mariageCHAR2
13NBENFCOMEnfants en commun avant le mariageCHAR1
14TUCOMTranche de commune du lieu de domicile des épouxCHAR1
15TUDOMTranche d'unité urbaine du lieu de domicile de...CHAR1
\n", + "
" + ], + "text/plain": [ + " VARIABLE LIBELLE TYPE \\\n", + "0 AMAR Année du mariage CHAR \n", + "1 ANAISF Année de naissance de l'épouse CHAR \n", + "2 ANAISH Année de naissance de l'époux CHAR \n", + "3 DEPDOM  Département de domicile après le mariage CHAR \n", + "4 DEPMAR Département de mariage CHAR \n", + "5 DEPNAISF Département de naissance de l'épouse CHAR \n", + "6 DEPNAISH Département de naissance de l'époux CHAR \n", + "7 ETAMATF État matrimonial antérieur de l'épouse CHAR \n", + "8 ETAMATH État matrimonial antérieur de l'époux CHAR \n", + "9 INDNATF Indicateur de nationalité de l'épouse CHAR \n", + "10 INDNATH Indicateur de nationalité de l'époux CHAR \n", + "11 JSEMAINE Jour du mariage dans la semaine CHAR \n", + "12 MMAR Mois du mariage CHAR \n", + "13 NBENFCOM Enfants en commun avant le mariage CHAR \n", + "14 TUCOM Tranche de commune du lieu de domicile des époux CHAR \n", + "15 TUDOM Tranche d'unité urbaine du lieu de domicile de... CHAR \n", + "\n", + " LONGUEUR \n", + "0 4 \n", + "1 4 \n", + "2 4 \n", + "3 3 \n", + "4 3 \n", + "5 3 \n", + "6 3 \n", + "7 1 \n", + "8 1 \n", + "9 1 \n", + "10 1 \n", + "11 1 \n", + "12 2 \n", + "13 1 \n", + "14 1 \n", + "15 1 " + ] + }, + "execution_count": 68, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "vardf = dBase2df(\"varlist_mariages.dbf\")\n", + "print(vardf.shape, vardf.columns)\n", + "vardf" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice 4 : nuage de points\n", + "\n", + "On veut tracer un nuage de points avec en abscisse l'âge du mari, en ordonnée, l'âge de la femme. Il faudra peut-être jeter un coup d'oeil sur la documentation de la méthode [plot](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.plot.html). Etant donné le nombre d'observations, ce graphe risque d'être moins lisible qu'une [heatmap](http://pandas.pydata.org/pandas-docs/stable/visualization.html#visualization-hexbin)." + ] + }, + { + "cell_type": "code", + "execution_count": 68, + "metadata": {}, + "outputs": [], + "source": [ + "df.plot(...)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice 5 : graphe d'une distribution avec pandas\n", + "\n", + "En ajoutant une colonne et en utilisant l'opération [group by](http://pandas.pydata.org/pandas-docs/stable/groupby.html), on veut obtenir la distribution du nombre de mariages en fonction de l'écart entre les mariés. Au besoin, on changera le type d'une colone ou deux. Le module ``pandas`` propose un panel de graphiques standard faciles à obtenir. On souhaite représenter la distribution sous forme d'histogramme. A vous de choisir le meilleure graphique depuis la page [Visualization](http://pandas.pydata.org/pandas-docs/stable/visualization.html)." + ] + }, + { + "cell_type": "code", + "execution_count": 69, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "df[\"colonne\"] = df.apply(lambda r: int(r[\"colonne\"]), axis=1) # pour changer de type\n", + "df[\"difference\"] = ..." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### matplotlib\n", + "\n", + "[matplotlib](http://matplotlib.org/) est le module qu'utilise [pandas](http://pandas.pydata.org/). Ainsi, la méthode [plot](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.plot.html) retourne un objet de type [Axes](http://matplotlib.org/api/axes_api.html#module-matplotlib.axes) qu'on peut modifier par la suite via les [méthodes suivantes](http://matplotlib.org/api/pyplot_summary.html). On peut ajouter un titre avec [set_title](http://matplotlib.org/api/axes_api.html#matplotlib.axes.Axes.set_title) ou ajouter une grille avec [grid](http://matplotlib.org/api/axes_api.html#matplotlib.axes.Axes.grid). On peut également superposer [deux courbes sur le même graphique](http://stackoverflow.com/questions/19941685/how-to-show-a-bar-and-line-graph-on-the-same-plot), ou [changer de taille de caractères](http://stackoverflow.com/questions/12444716/how-do-i-set-figure-title-and-axes-labels-font-size-in-matplotlib). Le code suivant trace le nombre de mariages par département." + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df[\"nb\"] = 1\n", + "dep = (\n", + " df[[\"DEPMAR\", \"nb\"]]\n", + " .groupby(\"DEPMAR\", as_index=False)\n", + " .sum()\n", + " .sort_values(\"nb\", ascending=False)\n", + ")\n", + "ax = dep.plot(kind=\"bar\", figsize=(18, 6))\n", + "ax.set_xlabel(\"départements\", fontsize=16)\n", + "ax.set_title(\"nombre de mariages par départements\", fontsize=16)\n", + "ax.legend().set_visible(False) # on supprime la légende\n", + "\n", + "# on change la taille de police de certains labels\n", + "for i, tick in enumerate(ax.xaxis.get_major_ticks()):\n", + " if i > 10:\n", + " tick.label.set_fontsize(8)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Quand on ne sait pas, le plus simple est d'utiliser un moteur de recherche avec un requête du type : ``matplotlib + requête``. Pour créer un graphique, le plus courant est de choisir le graphique le plus ressemblant d'une [gallerie de graphes](http://matplotlib.org/gallery.html) puis de l'adapter à vos données. On peut aussi changer le [style](http://matplotlib.org/users/style_sheets.html) des graphes. Un style populaire est celui de [ggplot2](http://www.statmethods.net/advgraphs/ggplot2.html) :" + ] + }, + { + "cell_type": "code", + "execution_count": 71, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "plt.style.use(\"ggplot\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice 6 : distribution des mariages par jour\n", + " \n", + "On veut obtenir un graphe qui contient l'histogramme de la distribution du nombre de mariages par jour de la semaine et d'ajouter une seconde courbe correspond avec un second axe à la répartition cumulée.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 72, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Annexes\n", + "\n", + "\n", + "### Créer un fichier Excel avec plusieurs feuilles\n", + "\n", + "La page [Allow ExcelWriter() to add sheets to existing workbook](https://github.com/pydata/pandas/issues/3441) donne plusieurs exemples d'écriture. On diminue la taille du document Excel à écrire." + ] + }, + { + "cell_type": "code", + "execution_count": 73, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "df1000 = df[:1000]" + ] + }, + { + "cell_type": "code", + "execution_count": 74, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "import pandas\n", + "\n", + "writer = pandas.ExcelWriter(\"ton_example100.xlsx\")\n", + "df1000.to_excel(writer, \"Data 0\")\n", + "df1000.to_excel(writer, \"Data 1\")\n", + "writer.save()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**FIN**" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "## Eléments de réponses pour les exercices" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "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": "3.10.6" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} diff --git a/_doc/c_data/nb_numpy.ipynb b/_doc/c_data/nb_numpy.ipynb new file mode 100644 index 00000000..8b4a8c3e --- /dev/null +++ b/_doc/c_data/nb_numpy.ipynb @@ -0,0 +1,950 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Calcul matriciel avec numpy (version courte)\n", + "\n", + "[numpy](https://numpy.org/) est la librairie incontournable pour faire des calculs en Python. Ces fonctionnalités sont disponibles dans tous les langages et utilisent les optimisations processeurs. Il est hautement improbable d'écrire un code aussi rapide sans l'utiliser.\n", + "\n", + "[numpy](https://numpy.org/) implémente ce qu'on appelle les opérations matricielles basiques ou plus communément appelées [BLAS](https://en.wikipedia.org/wiki/Basic_Linear_Algebra_Subprograms). Quelque soit le langage, l'implémentation est réalisée en langage bas niveau (C, fortran, assembleur) et a été peaufinée depuis 50 ans au gré des améliorations matérielles." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Enoncé\n", + "\n", + "La librairie [numpy](https://numpy.org/) propose principalement deux types : [array](https://numpy.org/doc/stable/reference/generated/numpy.array.html) et [matrix](https://numpy.org/doc/stable/reference/generated/numpy.matrix.html). Pour faire simple, prenez toujours le premier. Ca évite les erreurs. Les [array](https://numpy.org/doc/stable/reference/generated/numpy.array.html) sont des tableaux à plusieurs dimensions." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### La maîtrise du slice\n", + "\n", + "Le slice est l'opérateur ``:`` (décrit sur la page [indexing](https://numpy.org/doc/stable/reference/arrays.indexing.html)). Il permet de récupérer une ligne, une colonne, un intervalle de valeurs." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0, 5, 6, -3],\n", + " [ 6, 7, -4, 8],\n", + " [-5, 8, -4, 9]])" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import numpy\n", + "\n", + "mat = numpy.array([[0, 5, 6, -3], [6, 7, -4, 8], [-5, 8, -4, 9]])\n", + "mat" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([[ 0, 5, 6, -3],\n", + " [ 6, 7, -4, 8]]),\n", + " array([[ 0, 5],\n", + " [ 6, 7],\n", + " [-5, 8]]),\n", + " -3,\n", + " array([[0, 5],\n", + " [6, 7]]))" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mat[:2], mat[:, :2], mat[0, 3], mat[0:2, 0:2]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### La maîtrise du nan\n", + "\n", + "[nan](https://numpy.org/doc/stable/reference/constants.html) est une convention pour désigner une valeur manquante. Elle réagit de façon un peut particulière. Elle n'est égale à aucune autre y compris elle-même." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "numpy.nan == numpy.nan" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "False" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "numpy.nan == 4" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Il faut donc utiliser une fonction spéciale [isnan](https://numpy.org/doc/stable/reference/generated/numpy.isnan.html)." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "True" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "numpy.isnan(numpy.nan)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "nan est un réel, cette convention n'existe pas pour les entiers." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "cannot convert float NaN to integer\n" + ] + } + ], + "source": [ + "try:\n", + " int(numpy.nan)\n", + "except ValueError as e:\n", + " print(e)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### La maîtrise des types\n", + "\n", + "Un tableau est défini par ses dimensions et le type unique des éléments qu'il contient." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "((3,), dtype('int64'))" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "matint = numpy.array([0, 1, 2])\n", + "matint.shape, matint.dtype" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "C'est le même type pour toute la matrice. Il existe plusieurs type d'entiers et des réels pour des questions de performances." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "540 ns ± 39.9 ns per loop (mean ± std. dev. of 7 runs, 1,000,000 loops each)\n" + ] + } + ], + "source": [ + "%timeit matint * matint" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "((3,), dtype('float64'))" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "matintf = matint.astype(numpy.float64)\n", + "matintf.shape, matintf.dtype" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "549 ns ± 46.4 ns per loop (mean ± std. dev. of 7 runs, 1,000,000 loops each)\n" + ] + } + ], + "source": [ + "%timeit matintf * matintf" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.07 µs ± 102 ns per loop (mean ± std. dev. of 7 runs, 1,000,000 loops each)\n" + ] + } + ], + "source": [ + "%timeit matintf * matint" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Un changement de type et le calcul est plus long car cela implique la conversion d'une matrice d'un type à l'autre. La règle est de choisir le type le plus générique, ici, le type réel." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### La maîtrise du broadcasting\n", + "\n", + "Le [broadcasting](https://numpy.org/doc/stable/user/basics.broadcasting.html) signifie que certaines opérations ont un sens même si les dimensions des tableaux ne sont pas tout à fait égales." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0, 5, 6, -3],\n", + " [ 6, 7, -4, 8],\n", + " [-5, 8, -4, 9]])" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mat" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Ajouter une constante à tous les éléments du tableau." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[1000, 1005, 1006, 997],\n", + " [1006, 1007, 996, 1008],\n", + " [ 995, 1008, 996, 1009]])" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mat + 1000" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Ajouter la même ligne à toutes les lignes." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0, 15, 106, 997],\n", + " [ 6, 17, 96, 1008],\n", + " [ -5, 18, 96, 1009]])" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mat + numpy.array([0, 10, 100, 1000])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Ajouter la même colonne à toutes les colonnes." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0, 5, 6, -3],\n", + " [ 16, 17, 6, 18],\n", + " [ 95, 108, 96, 109]])" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mat + numpy.array([[0, 10, 100]]).T" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### La maîtrise des index" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0, 5, 6, -3],\n", + " [ 6, 7, -4, 8],\n", + " [-5, 8, -4, 9]])" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mat = numpy.array([[0, 5, 6, -3], [6, 7, -4, 8], [-5, 8, -4, 9]])\n", + "mat" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Comparer tous les éléments du tableau à une constante (en utilisant le broadcasting)." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[False, True, False, False],\n", + " [False, False, False, False],\n", + " [False, False, False, False]])" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mat == 5" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ True, False, False, False],\n", + " [False, False, True, False],\n", + " [False, False, False, True]])" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mat == numpy.array([[0, -4, 9]]).T" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[1, 0, 0, 0],\n", + " [0, 0, 1, 0],\n", + " [0, 0, 0, 1]])" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "(mat == numpy.array([[0, -4, 9]]).T).astype(numpy.int64)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Effectuer une comparaison et convertir le résultat en entier puis le multiplier à la matrice de départ. Le code suivant ne garde que les éléments qui valent -4 sur la seconde ligne et 9 sur la troisième. Tous les autres sont nuls." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[ 0, 0, 0, 0],\n", + " [ 0, 0, -4, 0],\n", + " [ 0, 0, 0, 9]])" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "mat * (mat == numpy.array([[0, -4, 9]]).T).astype(numpy.int64)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### La maîtrise des opérations et des fonctions\n", + "\n", + "On peut regrouper les opérations que [numpy](https://numpy.org/) propose en différents thèmes. Mais avant il \n", + "\n", + "* L'**initialisation** : [array](https://numpy.org/doc/stable/reference/generated/numpy.array.html), [empty](https://numpy.org/doc/stable/reference/generated/numpy.empty.html), [zeros](https://numpy.org/doc/stable/reference/generated/numpy.zeros.html), [ones](https://numpy.org/doc/stable/reference/generated/numpy.ones.html), [full](https://numpy.org/doc/stable/reference/generated/numpy.full.html), [identity](https://numpy.org/doc/stable/reference/generated/numpy.identity.html), [rand](https://numpy.org/doc/stable/reference/random/generated/numpy.random.rand.html), [randn](https://numpy.org/doc/stable/reference/random/generated/numpy.random.randn.html), [randint](https://numpy.org/doc/stable/reference/random/generated/numpy.random.randint.html)\n", + "* Les **opérations basiques** : `+`, `-`, `*`, `/`, `@`, [dot](https://numpy.org/doc/stable/reference/generated/numpy.dot.html)\n", + "* Les **transformations** : [transpose](https://numpy.org/doc/stable/reference/generated/numpy.transpose.html), [hstack](https://numpy.org/doc/stable/reference/generated/numpy.hstack.html), [vstack](https://numpy.org/doc/stable/reference/generated/numpy.vstack.html), [reshape](https://numpy.org/doc/stable/reference/generated/numpy.reshape.html), [squeeze](https://numpy.org/doc/stable/reference/generated/numpy.squeeze.html), [expend_dims](https://numpy.org/doc/stable/reference/generated/numpy.expand_dims.html)\n", + "* Les **opérations de réduction** : [minimum](https://numpy.org/doc/stable/reference/generated/numpy.minimum.html), [maximum](https://numpy.org/doc/stable/reference/generated/numpy.maximum.html), [argmin](https://numpy.org/doc/stable/reference/generated/numpy.argmin.html), [argmax](https://numpy.org/doc/stable/reference/generated/numpy.argmax.html), [sum](https://numpy.org/doc/stable/reference/generated/numpy.sum.html), [mean](https://numpy.org/doc/stable/reference/generated/numpy.mean.html), [prod](https://numpy.org/doc/stable/reference/generated/numpy.prod.html), [var](https://numpy.org/doc/stable/reference/generated/numpy.var.html), [std](https://numpy.org/doc/stable/reference/generated/numpy.std.html)\n", + "* Tout le reste comme la génération de matrices aléatoires, le calcul des valeurs, vecteurs propres, des fonctions commme [take](https://numpy.org/doc/stable/reference/generated/numpy.take.html), ..." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Q1 : calculer la valeur du $\\chi_2$ d'un tableau de contingence\n", + "\n", + "La formule est [là](https://en.wikipedia.org/wiki/Pearson%27s_chi-squared_test#Testing_for_statistical_independence). Et il faut le faire sans boucle. Vous pouvez comparer avec la fonction [chisquare](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.chisquare.html) de la librairie [scipy](https://www.scipy.org/) qui est une extension de [numpy](https://numpy.org/).\n", + "\n", + "$$\\chi_2 = N \\sum_{i,j} p_{i.} p_{.j} \\left( \\frac{\\frac{O_{ij}}{N} - p_{i.} p_{.j}}{p_{i.} p_{.j}}\\right)^2$$" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Q2 : calculer une distribution un peu particulière\n", + "\n", + "La fonction [histogram](https://numpy.org/doc/stable/reference/generated/numpy.histogram.html) permet de calculer la distribution empirique de variables. Pour cette question, on tire un vecteur aléatoire de taille 10 avec la fonction [rand](https://numpy.org/doc/stable/reference/random/generated/numpy.random.rand.html), on les trie par ordre croissant, on recommence plein de fois, on calcule la distribution du plus grand nombre, du second plus grand nombre, ..., du plus petit nombre." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Q3 : on veut créer une matrice identité un million par un million\n", + "\n", + "Vous pouvez essayer sans réfléchir ou lire cette page d'abord : [csr_matrix](https://docs.scipy.org/doc/scipy/reference/generated/scipy.sparse.csr_matrix.html)." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Q4 : vous devez créer l'application StopCovid\n", + "\n", + "Il existe une machine qui reçoit la position de 3 millions de téléphones portable. On veut identifier les cas contacts (rapidement)." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Réponses" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Q1 : calculer la valeur du $\\chi_2$ d'un tableau de contingence\n", + "\n", + "La formule est [là](https://en.wikipedia.org/wiki/Pearson%27s_chi-squared_test#Testing_for_statistical_independence). Et il faut le faire sans boucle. Vous pouvez comparer avec la fonction [chisquare](https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.chisquare.html) de la librairie [scipy](https://www.scipy.org/) qui est une extension de [numpy](https://numpy.org/).\n", + "\n", + "$$\\chi_2 = N \\sum_{i,j} p_{i.} p_{.j} \\left( \\frac{\\frac{O_{ij}}{N} - p_{i.} p_{.j}}{p_{i.} p_{.j}}\\right)^2$$" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[15., 20., 13.],\n", + " [ 4., 9., 5.]])" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import numpy\n", + "\n", + "O = numpy.array([[15.0, 20.0, 13.0], [4.0, 9.0, 5.0]])\n", + "O" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.5798254016266716" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def chi_square(O):\n", + " N = numpy.sum(O)\n", + " pis = numpy.sum(O, axis=1, keepdims=True) / N\n", + " pjs = numpy.sum(O, axis=0, keepdims=True) / N\n", + " pispjs = pis @ pjs\n", + " chi = pispjs * ((O / N - pispjs) / pispjs) ** 2\n", + " return numpy.sum(chi) * N\n", + "\n", + "\n", + "chi_square(O)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Q2 : calculer une distribution un peu particulière\n", + "\n", + "La fonction [histogram](https://numpy.org/doc/stable/reference/generated/numpy.histogram.html) permet de calculer la distribution empirique de variables. Pour cette question, on tire un vecteur aléatoire de taille 10 avec la fonction [rand](https://numpy.org/doc/stable/reference/random/generated/numpy.random.rand.html), on les trie par ordre croissant, on recommence plein de fois, on calcule la distribution du plus grand nombre, du second plus grand nombre, ..., du plus petit nombre." + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.98556467, 0.47377301, 0.77148185, 0.26135908, 0.27373018,\n", + " 0.0240458 , 0.55360714, 0.3575369 , 0.71740732, 0.3260206 ])" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rnd = numpy.random.rand(10)\n", + "rnd" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.0240458 , 0.26135908, 0.27373018, 0.3260206 , 0.3575369 ,\n", + " 0.47377301, 0.55360714, 0.71740732, 0.77148185, 0.98556467])" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "numpy.sort(rnd)" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.876020129318981" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def tirage(n):\n", + " rnd = numpy.random.rand(n)\n", + " trie = numpy.sort(rnd)\n", + " return trie[-1]\n", + "\n", + "\n", + "tirage(10)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.99594032, 0.67914189, 0.98105965, 0.93181536, 0.86827764])" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "def plusieurs_tirages(N, n):\n", + " rnd = numpy.random.rand(N, n)\n", + " return numpy.max(rnd, axis=1)\n", + "\n", + "\n", + "plusieurs_tirages(5, 10)" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(array([ 5, 8, 20, 35, 111, 221, 407, 785, 1273, 2135],\n", + " dtype=int64),\n", + " array([0.437878 , 0.49408914, 0.55030028, 0.60651142, 0.66272256,\n", + " 0.7189337 , 0.77514485, 0.83135599, 0.88756713, 0.94377827,\n", + " 0.99998941]))" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "t = plusieurs_tirages(5000, 10)\n", + "hist = numpy.histogram(t)\n", + "hist" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "plt.plot(hist[1][1:], hist[0] / hist[0].sum());" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Q3 : on veut créer une matrice identité un million par un million\n", + "\n", + "Vous pouvez essayer sans réfléchir ou lire cette page d'abord : [csr_matrix](https://docs.scipy.org/doc/scipy/reference/generated/scipy.sparse.csr_matrix.html)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "$(10^6)^2=10^{12}$>10 Go, bref ça ne tient pas en mémoire sauf si on a une grosse machine. Les matrices creuses (ou sparses en anglais), sont adéquates pour représenter des matrices dont la grande majorité des coefficients sont nuls car ceux-ci ne sont pas stockés. Concrètement, la matrice enregistre uniquement les coordonnées des coefficients et les valeurs non nuls." + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "c:\\python395_x64\\lib\\site-packages\\scipy\\sparse\\_index.py:125: SparseEfficiencyWarning: Changing the sparsity structure of a csr_matrix is expensive. lil_matrix is more efficient.\n", + " self._set_arrayXarray(i, j, x)\n" + ] + } + ], + "source": [ + "import numpy\n", + "from scipy.sparse import csr_matrix\n", + "\n", + "ide = csr_matrix((1000000, 1000000), dtype=numpy.float64)\n", + "ide.setdiag(1.0)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Q4 : vous devez créer l'application StopCovid\n", + "\n", + "Il existe une machine qui reçoit la position de 3 millions de téléphones portable. On veut identifier les cas contacts (rapidement)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Si on devait calculer toutes les paires de distance, cela prendrait un temps fou. Il faut ruser. Le plus simple est de construire une grille sur le territoire français puis d'associer à chaque téléphone portable la grille dans laquelle il se trouve. Dans une cellule de la grille, le nombre de paires est beaucoup plus réduit. Ce n'est pas la seule astuce qu'il faudra utiliser. Mais c'est un bon début." + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "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": "3.10.6" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/_doc/c_data/patates.png b/_doc/c_data/patates.png new file mode 100644 index 0000000000000000000000000000000000000000..cbd7276cf2cb5e704fd2c21c18957f117c62601e GIT binary patch literal 20007 zcmX7v18`k!*M?);XwtN?ZQHhOH@4N-YHT}c?4+@6+xEZT@82^gIcFwkviF0v?zNul zj!=*jM})(J0|5a+l#~!r0s#SY0N($C0Rw*Oka;Zvzd)Uo#DzerC%>HlA0W&HWd%V% z>SE#F4IzQgunrQMP9Pvi{r|l{hwV#EKtN}g};Qg3JU($Vem 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z&M9Vj1O`4fHWwl?>so|dHxsN)g)RJUoI=6I3gC+oIbj+0pt*PiY|coJlPwFlLSFUE zqHebrq19*&EcT_G;1N^+K-hXD4uP$KWkKk-)&U%KK?>0K|LCJX0JcHMNh fl def get_data( - url: str = "https://github.com/sdpython/teachpyx/raw/paris/_data/paris_54000.zip", + url: str = "https://github.com/sdpython/teachpyx/raw/main/_data/paris_54000.zip", dest: str = ".", timeout: int = 10, verbose: bool = False, From 37858b75dcfa66b4cedd9244e304ba2c6d079ec6 Mon Sep 17 00:00:00 2001 From: Xavier Dupre Date: Sat, 19 Aug 2023 11:32:38 +0200 Subject: [PATCH 02/17] notebooks --- .gitignore | 1 + _doc/api/faqs.rst | 17 + _doc/api/index.rst | 5 + _doc/c_data/dataframes.rst | 1 + _doc/c_data/nb_dataframe.ipynb | 105 +- _doc/c_data/nb_pandas.ipynb | 1362 +++++++++++++++++ _doc/practice/algo-base/exercice_morse.ipynb | 2 +- .../algo-compose/paris_parcours.ipynb | 4 +- _doc/practice/exams/td_note_2018_1.ipynb | 2 +- .../structures_donnees_conversion.ipynb | 2 +- 10 files changed, 1475 insertions(+), 26 deletions(-) create mode 100644 _doc/api/faqs.rst create mode 100644 _doc/c_data/nb_pandas.ipynb diff --git a/.gitignore b/.gitignore index 0c12f120..40e6b738 100644 --- a/.gitignore +++ b/.gitignore @@ -29,5 +29,6 @@ _doc/examples/*.html _doc/_static/require.js _doc/_static/viz.js _doc/practice/algo-compose/paris_54000.* +_doc/c_data/*.csv _doc/c_data/*.txt _doc/c_data/*.xlsx diff --git a/_doc/api/faqs.rst b/_doc/api/faqs.rst new file mode 100644 index 00000000..ed8c3f5e --- /dev/null +++ b/_doc/api/faqs.rst @@ -0,0 +1,17 @@ +faq +=== + +teachpyx.faq.faq_python ++++++++++++++++++++++++ + +.. automodule:: teachpyx.faq.faq_python + +teachpyx.faq.faq_exception +++++++++++++++++++++++++++ + +.. automodule:: teachpyx.faq.faq_exception + +teachpyx.faq.faq_numpy +++++++++++++++++++++++ + +.. automodule:: teachpyx.faq.faq_numpy diff --git a/_doc/api/index.rst b/_doc/api/index.rst index 657e821c..857110df 100644 --- a/_doc/api/index.rst +++ b/_doc/api/index.rst @@ -10,3 +10,8 @@ Code inclus dans cette librairie :caption: Fonctions implémentées pour les exercices practice/rues_paris + +.. toctree:: + :caption: FAQ + + faqs diff --git a/_doc/c_data/dataframes.rst b/_doc/c_data/dataframes.rst index 0a8655b9..72877b5a 100644 --- a/_doc/c_data/dataframes.rst +++ b/_doc/c_data/dataframes.rst @@ -5,3 +5,4 @@ Dataframes .. toctree:: nb_dataframe + nb_pandas diff --git a/_doc/c_data/nb_dataframe.ipynb b/_doc/c_data/nb_dataframe.ipynb index 3cda04ae..1627b645 100644 --- a/_doc/c_data/nb_dataframe.ipynb +++ b/_doc/c_data/nb_dataframe.ipynb @@ -748,12 +748,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "On peut récupérer des données directement depuis Internet ou une chaîne de caractères et afficher le début ([head](pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.head.html)) ou la fin ([tail](pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.tail.html)).\n", - "\n", - "**Aparté :** lire [StringIO](http://www.xavierdupre.fr/app/ensae_teaching_cs/helpsphinx/all_FAQ.html#a-quoi-sert-un-stringio)\n", - "**Données :** [marathon.txt](https://raw.githubusercontent.com/sdpython/ensae_teaching_cs/master/src/ensae_teaching_cs/data/data_1a/marathon.txt).\n", - "\n", - "La fonction [marathon](http://www.xavierdupre.fr/app/ensae_teaching_cs/helpsphinx/ensae_teaching_cs/data/data1a.html?highlight=marathon#ensae_teaching_cs.data.data1a.marathon) fait partie du module [ensae_teaching_cs](https://pypi.python.org/pypi/ensae_teaching_cs). Ce module n'est pas nécessaire si on télécharge directement les données, il automatise certains opérations qui sans cela seraient manuelles. Pour l'installer ``pip install ensae_teaching_cs``." + "On peut récupérer des données directement depuis Internet ou une chaîne de caractères et afficher le début ([head](pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.head.html)) ou la fin ([tail](pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.tail.html))." ] }, { @@ -843,7 +838,6 @@ } ], "source": [ - "from ensae_teaching_cs.data import marathon\n", "import pandas\n", "\n", "df = pandas.read_csv(\n", @@ -1392,26 +1386,95 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 31, "metadata": {}, "outputs": [ { - "ename": "ModuleNotFoundError", - "evalue": "No module named 'ensae_teaching_cs'", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mModuleNotFoundError\u001b[0m Traceback (most recent call last)", - "Cell \u001b[0;32mIn[30], line 2\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[39mimport\u001b[39;00m \u001b[39mpandas\u001b[39;00m\u001b[39m,\u001b[39m \u001b[39murllib\u001b[39;00m\u001b[39m.\u001b[39;00m\u001b[39mrequest\u001b[39;00m\n\u001b[0;32m----> 2\u001b[0m \u001b[39mfrom\u001b[39;00m \u001b[39mensae_teaching_cs\u001b[39;00m\u001b[39m.\u001b[39;00m\u001b[39mdata\u001b[39;00m \u001b[39mimport\u001b[39;00m marathon\n\u001b[1;32m 3\u001b[0m df \u001b[39m=\u001b[39m pandas\u001b[39m.\u001b[39mread_csv(marathon(), sep\u001b[39m=\u001b[39m\u001b[39m\"\u001b[39m\u001b[39m\\t\u001b[39;00m\u001b[39m\"\u001b[39m, names\u001b[39m=\u001b[39m[\u001b[39m\"\u001b[39m\u001b[39mville\u001b[39m\u001b[39m\"\u001b[39m, \u001b[39m\"\u001b[39m\u001b[39mannee\u001b[39m\u001b[39m\"\u001b[39m, \u001b[39m\"\u001b[39m\u001b[39mtemps\u001b[39m\u001b[39m\"\u001b[39m,\u001b[39m\"\u001b[39m\u001b[39msecondes\u001b[39m\u001b[39m\"\u001b[39m])\n\u001b[1;32m 4\u001b[0m df\u001b[39m.\u001b[39mhead()\n", - "\u001b[0;31mModuleNotFoundError\u001b[0m: No module named 'ensae_teaching_cs'" - ] + "data": { + "text/html": [ + "

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villeanneetempssecondes
011348 17958 54000 8 4516NaNNaNNaN
148.8351503 2.3077904NaNNaNNaN
248.8317022 2.3579381NaNNaNNaN
348.8812439 2.2917141NaNNaNNaN
448.8558991 2.3550941NaNNaNNaN
\n", + "
" + ], + "text/plain": [ + " ville annee temps secondes\n", + "0 11348 17958 54000 8 4516 NaN NaN NaN\n", + "1 48.8351503 2.3077904 NaN NaN NaN\n", + "2 48.8317022 2.3579381 NaN NaN NaN\n", + "3 48.8812439 2.2917141 NaN NaN NaN\n", + "4 48.8558991 2.3550941 NaN NaN NaN" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ "import pandas, urllib.request\n", "\n", "df = pandas.read_csv(\n", - " \"https://github.com/sdpython/teachpyx/raw/exos/_data/paris_54000.zip\",\n", + " \"https://github.com/sdpython/teachpyx/raw/main/_data/paris_54000.zip\",\n", " sep=\"\\t\",\n", " names=[\"ville\", \"annee\", \"temps\", \"secondes\"],\n", ")\n", @@ -1724,7 +1787,7 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 32, "metadata": {}, "outputs": [ { @@ -1732,8 +1795,8 @@ "output_type": "stream", "text": [ "Index(['ville', 'annee', 'temps', 'secondes'], dtype='object')\n", - "villes {'FUKUOKA', 'AMSTERDAM', 'CHICAGO', 'BERLIN', 'PARIS', 'LONDON', 'BOSTON', 'NEW YORK', 'STOCKOLM'}\n", - "annee [1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956] ...\n" + "villes {'48.848105800000006 2.2901315', '4496 8829 1 14 133', '6809 862 2 26 38', '7351 5139 1 14 184', '6445 1396 2 3 54', '3730 6199 1 5 74', '48.8698083 2.3405863', '48.8399543 2.3067426', '4084 9263 1 12 48', '48.8889409 2.3179476', '7750 2249 2 4 30', '3731 2363 1 40 321', '48.8630604 2.3880534', '48.8619027 2.2714662000000003', '10390 9911 1 16 93', '48.8960224 2.3459958000000003', '7376 6929 1 22 176', '66 9671 1 9 106', '48.8659854 2.2818251000000003', '4899 3892 1 5 75', '5347 5140 1 2 28', '9523 1678 1 5 68', '48.859939000000004 2.3607365000000002', '7609 2664 2 29 105', '48.8520801 2.2888217', '48.8378864 2.3573079000000003', '2112 8450 1 3 48', '12 643 2 9 40', '48.857545200000004 2.3869626', '548 10109 1 5 43', '2940 10276 1 4 36', '5253 163 1 18 146', '48.825090800000005 2.3573883', '48.839759900000004 2.4043743', '48.856051 2.366604', '48.8820593 2.3932831', '48.856618100000006 2.3855819', '5877 7831 1 49 68', '48.900974600000005 2.3269196', '48.8419796 2.2641434', '4683 8249 2 7 98', '48.87439800000001 2.282836', '9472 3019 1 1 7', '4637 3031 2 5 45', '48.8245687 2.3841', '3446 4196 2 1 12', '48.8789346 2.3417717000000002', '11013 1861 1 35 346', '1424 10299 1 17 186', '466 5525 1 6 77', '8948 10650 2 12 138', '5986 538 2 4 32', '8650 9633 1 25 54', '10622 10431 1 2 25', '48.866323900000005 2.2732709', '2685 9456 1 21 218', '9985 11285 1 7 65', '7 4908 2 32 86', '5512 1826 1 4 31', '48.830995900000005 2.3346502', '48.878236300000005 2.3543147', '1565 9134 1 2 35', '48.879725900000004 2.3328421', '7018 8102 1 6 62', '48.8678692 2.3298336', '10008 236 1 14 197', '48.8748579 2.3479772000000003', '5157 1769 1 12 168', '48.8989831 2.3287247', '48.828816100000004 2.3415218', '6185 7956 1 14 99', '48.872789000000004 2.3762499000000004', '48.8973292 2.3241886000000003', '1975 5107 1 11 139', '48.88286170000001 2.3298209', 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100'}\n", + "annee [nan, nan, nan, nan, nan, nan, nan, nan, nan, nan] ...\n" ] } ], diff --git a/_doc/c_data/nb_pandas.ipynb b/_doc/c_data/nb_pandas.ipynb new file mode 100644 index 00000000..9ab1e25a --- /dev/null +++ b/_doc/c_data/nb_pandas.ipynb @@ -0,0 +1,1362 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Manipulation de données avec pandas (version courte)\n", + "\n", + "[pandas](https://pandas.pydata.org/) est la librairie incontournable pour manipuler les données. Elle permet de manipuler aussi bien les données sous forme de tables qu'elle peut récupérer ou exporter en différents formats. Elle permet également de créer facilement des graphes." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Enoncé\n", + "\n", + "La librairie [pandas](https://pandas.pydata.org/) implémente la classe [DataFrame](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.html). C'est une structure de table, chaque colonne porte un nom et contient un seul type de données. C'est très similaire au langage [SQL](https://fr.wikipedia.org/wiki/Structured_Query_Language)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Création d'un dataframe\n", + "\n", + "Il existe une grande variété pour créer un DataFrame. Voici les deux principaux. Le premier : une liste de dictionnaires. Chaque clé est le nom de la colonne." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " col1 col2\n", + "0 0.5 schtroumph\n", + "1 0.6 schtroumphette" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from pandas import DataFrame\n", + "\n", + "rows = [{\"col1\": 0.5, \"col2\": \"schtroumph\"}, {\"col1\": 0.6, \"col2\": \"schtroumphette\"}]\n", + "DataFrame(rows)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "La lecture depuis un fichier :" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Writing data.csv\n" + ] + } + ], + "source": [ + "%%writefile data.csv\n", + "\n", + "col1, col2\n", + "0.5, alpha\n", + "0.6, beta" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'/home/xadupre/github/teachpyx/_doc/c_data'" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import os\n", + "\n", + "os.getcwd()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " col1 col2\n", + "0 0.5 alpha\n", + "1 0.6 beta" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from pandas import read_csv\n", + "\n", + "df = read_csv(\"data.csv\")\n", + "df" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### La maîtrise des index\n", + "\n", + "Les index fonctionnent à peu près comme [numpy](https://numpy.org/) mais offre plus d'options puisque les colonnes mais aussi les lignes ont un nom.\n", + "\n", + "Accès par colonne" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " col1 col2\n", + "0 0.5 alpha" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df[:1]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Accès par positions avec [loc](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.loc.html)." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.5" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.loc[0, \"col1\"]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Accès par positions entières avec [iloc](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.iloc.html)." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.5" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.iloc[0, 0]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### La maîtrise des index des lignes\n", + "\n", + "La création d'un dataframe donne l'impression que les index des lignes sont des entiers mais cela peut être changer" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " col1 col2\n", + "0 0.5 alpha\n", + "1 0.6 beta" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "ename": "KeyError", + "evalue": "\"None of ['col2'] are in the columns\"", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mKeyError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/tmp/ipykernel_15578/1840535498.py\u001b[0m in \u001b[0;36m?\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mdfi\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mdf\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mset_index\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"col2\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mdfi\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/.venv/lib/python3.10/site-packages/pandas/core/frame.py\u001b[0m in \u001b[0;36m?\u001b[0;34m(self, keys, drop, append, inplace, verify_integrity)\u001b[0m\n\u001b[1;32m 5855\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0mfound\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5856\u001b[0m \u001b[0mmissing\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mappend\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mcol\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5857\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5858\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mmissing\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 5859\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mKeyError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34mf\"None of {missing} are in the columns\"\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 5860\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5861\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0minplace\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5862\u001b[0m \u001b[0mframe\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mKeyError\u001b[0m: \"None of ['col2'] are in the columns\"" + ] + } + ], + "source": [ + "dfi = df.set_index(\"col2\")\n", + "dfi" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "ename": "NameError", + "evalue": "name 'dfi' is not defined", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn[21], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m dfi\u001b[39m.\u001b[39mloc[\u001b[39m\"\u001b[39m\u001b[39malpha\u001b[39m\u001b[39m\"\u001b[39m, \u001b[39m\"\u001b[39m\u001b[39mcol1\u001b[39m\u001b[39m\"\u001b[39m]\n", + "\u001b[0;31mNameError\u001b[0m: name 'dfi' is not defined" + ] + } + ], + "source": [ + "dfi.loc[\"alpha\", \"col1\"]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Il faut se souvenir de cette particularité lors de la fusion de tables." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### La maîtrise des index des colonnes\n", + "\n", + "Les colonnes sont nommées." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "df.columns" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On peut les renommer." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "df.columns = [\"valeur\", \"nom\"]\n", + "df" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "L'opérateur ``:`` peut également servir pour les colonnes." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "df.loc[:, \"valeur\":\"nom\"]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Lien vers numpy\n", + "\n", + "[pandas](https://pandas.pydata.org/) utilise [numpy](https://numpy.org/) pour stocker les données. Il est possible de récupérer des matrices depuis des DataFrame avec [values](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.values.html)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "df.values" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "df[[\"valeur\"]].values" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### La maîtrise du nan\n", + "\n", + "[nan](https://numpy.org/doc/stable/reference/constants.html) est une convention pour désigner une valeur manquante." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "rows = [{\"col1\": 0.5, \"col2\": \"schtroumph\"}, {\"col2\": \"schtroumphette\"}]\n", + "DataFrame(rows)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### La maîtrise des types\n", + "\n", + "Un dataframe est défini par ses dimensions et chaque colonne a un type potentiellement différent." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "df.dtypes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On peut changer un type, donc convertir toutes les valeurs d'une colonne vers un autre type." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy\n", + "\n", + "df[\"valeur\"].astype(numpy.float32)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy\n", + "\n", + "df[\"valeur\"].astype(numpy.int32)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Création de colonnes\n", + "\n", + "On peut facilement créer de nouvelles colonnes." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "df[\"sup055\"] = df[\"valeur\"] >= 0.55\n", + "df" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "df[\"sup055\"] = (df[\"valeur\"] >= 0.55).astype(numpy.int64)\n", + "df" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "df[\"sup055+\"] = df[\"valeur\"] + df[\"sup055\"]\n", + "df" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Modifications de valeurs\n", + "\n", + "On peut les modifier une à une en utilisant les index. Les notations sont souvent intuitives. Elles ne seront pas toutes détaillées. Ci-dessous un moyen de modifer certaines valeurs selon une condition." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "df.loc[df[\"nom\"] == \"alpha\", \"sup055+\"] += 1000\n", + "df" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Une erreur ou warning fréquent" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "rows = [{\"col1\": 0.5, \"col2\": \"schtroumph\"}, {\"col1\": 1.5, \"col2\": \"schtroumphette\"}]\n", + "df = DataFrame(rows)\n", + "df" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "df1 = df[df[\"col1\"] > 1.0]\n", + "df1" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "df1[\"col3\"] = df1[\"col1\"] + 1.0\n", + "df1" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "``A value is trying to be set on a copy of a slice from a DataFrame.`` : Par défaut, l'instruction ``df[df['col1'] > 1.]`` ne crée pas un nouveau DataFrame, elle crée ce qu'on appelle une vue pour éviter de copier les données. Le résultat ne contient que l'index des lignes qui ont été sélectionnées et un lien vers le dataframe original. L'avertissement stipule que *pandas* ne peut pas modifier le dataframe original mais qu'il doit effectuer une copie." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "La solution pour faire disparaître ce warning est de copier le dataframe." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "df2 = df1.copy()\n", + "df2[\"col3\"] = df2[\"col1\"] + 1.0" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### La maîtrise des fonctions\n", + "\n", + "Les fonctions de pandas créent par défaut un nouveau dataframe plutôt que de modifier un dataframe existant. Cela explique pourquoi parfois la mémoire se retrouve congestionnée. La page [10 minutes to pandas](https://pandas.pydata.org/pandas-docs/stable/user_guide/10min.html) est un bon début.\n", + "\n", + "* **création** : [read_csv](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.read_csv.html), [read_excel](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.read_excel.html)\n", + "* **index** : [set_index](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.set_index.html), [reset_index](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.reset_index.html)\n", + "* **utilitaires** : [astype](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.astype.html), [isna](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.isna.html), [fillna](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.fillna.html), [to_datetime](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.to_datetime.html), [dtypes](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.dtypes.html), [shape](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.shape.html), [values](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.values.html), [head](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.head.html), [tail](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.tail.html), [isin](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.isin.html), [T](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.T.html), [drop](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.drop.html)\n", + "* **concaténation** : [concat](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.concat.html)\n", + "* **SQL** : [filter](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.filter.html), [groupby](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.groupby.html), [join](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.join.html), [merge](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.merge.html), [pivot](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.pivot.html), [pivot_table](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.pivot_table.html)\n", + "* **calcul** : [sum](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.sum.html), [cumsum](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.cumsum.html), [quantile](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.quantile.html), [var](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.var.html)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### On récupère les données du COVID par région et par âge et premier graphe\n", + "\n", + "A cette adresse : [Données hospitalières relatives à l'épidémie de COVID-19](https://www.data.gouv.fr/en/datasets/donnees-hospitalieres-relatives-a-lepidemie-de-covid-19/)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# https://www.data.gouv.fr/en/datasets/r/63352e38-d353-4b54-bfd1-f1b3ee1cabd7\n", + "from pandas import read_csv\n", + "\n", + "url = \"https://www.data.gouv.fr/en/datasets/r/08c18e08-6780-452d-9b8c-ae244ad529b3\"\n", + "covid = read_csv(url, sep=\";\")\n", + "covid.tail()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "covid.dtypes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Les dates sont considérées comme des chaînes de caractères. Il est plus simple pour réaliser des opérations de convertir la colonne sous forme de dates." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "from pandas import to_datetime\n", + "\n", + "covid[\"jour\"] = to_datetime(covid[\"jour\"])\n", + "covid.tail()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "covid.dtypes" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On supprime les colonnes relatives aux régions et à l'âge puis on aggrège par jour." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "agg_par_jour = covid.drop([\"reg\", \"cl_age90\"], axis=1).groupby(\"jour\").sum()\n", + "agg_par_jour.tail()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "agg_par_jour.plot(title=\"Evolution des hospitalisations par jour\", figsize=(14, 4));" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Avec échelle logarithmique." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "agg_par_jour.plot(\n", + " title=\"Evolution des hospitalisations par jour\", figsize=(14, 4), logy=True\n", + ");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Q1 : refaire le graphique précédent pour votre classe d'âge" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Q2 : faire de même avec les séries différenciées" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Q3 : faire de même avec des séries lissées sur sur 7 jours" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Q4 : fusion de tables par départements" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Réponses" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Q1 : refaire le graphique précédent pour votre classe d'âge" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "set(covid[\"cl_age90\"])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "covid49 = covid[covid.cl_age90 == 49]\n", + "agg_par_jour49 = covid49.drop([\"reg\", \"cl_age90\"], axis=1).groupby(\"jour\").sum()\n", + "agg_par_jour49.tail()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "agg_par_jour49.plot(\n", + " title=\"Evolution des hospitalisations par jour\\nage=49\", figsize=(14, 4), logy=True\n", + ");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Q2 : faire de même avec les séries différenciées" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "covid.tail()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "diff = covid.drop([\"reg\", \"cl_age90\"], axis=1).groupby([\"jour\"]).sum().diff()\n", + "diff.tail(n=2)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "scrolled": false + }, + "outputs": [], + "source": [ + "diff.plot(title=\"Séries différenciées\", figsize=(14, 4));" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Q3 : faire de même avec des séries lissées sur sur 7 jours" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "diff.rolling(7)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "roll = diff.rolling(7).mean()\n", + "roll.tail(n=2)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "roll.plot(title=\"Séries différenciées lissées\", figsize=(14, 4));" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Petit aparté\n", + "\n", + "On veut savoir combien de temps les gens restent à l'hôpital avant de sortir, en supposant que le temps de guérison est à peu près identique au temps passé lorsque l'issue est tout autre. Je pensais calculer les corrélations entre la série des décès et celles de réanimations décalées de plusieurs jours en me disant qu'un pic de corrélation pourrait indiquer une sorte de durée moyenne de réanimation." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "data = agg_par_jour49.diff().rolling(7).mean()\n", + "data.tail(n=2)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "scrolled": false + }, + "outputs": [], + "source": [ + "data_last = data.tail(n=90)\n", + "cor = []\n", + "for i in range(0, 35):\n", + " ts = DataFrame(\n", + " dict(\n", + " rea=data_last.rea,\n", + " dc=data_last.dc,\n", + " dclag=data_last[\"dc\"].shift(i),\n", + " realag=data_last[\"rea\"].shift(i),\n", + " )\n", + " )\n", + " ts_cor = ts.corr()\n", + " cor.append(dict(delay=i, corr_dc=ts_cor.iloc[1, 3], corr_rea=ts_cor.iloc[0, 3]))\n", + "DataFrame(cor).set_index(\"delay\").plot(title=\"Corrélation entre décès et réanimation\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Il apparaît que ces corrélations sont très différentes selon qu'on les calcule sur les dernières données et les premières semaines. Cela semblerait indiquer que les données médicales sont très différentes. On pourrait chercher plusieurs jours mais le plus simple serait sans de générer des données artificielles avec un modèle [SIR](https://fr.wikipedia.org/wiki/Mod%C3%A8les_compartimentaux_en_%C3%A9pid%C3%A9miologie) et vérifier si ce raisonnement tient la route sur des données propres." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Q4 : fusion de tables par départements\n", + "\n", + "On récupère deux jeux de données :\n", + "* [Données hospitalières relatives à l'épidémie de COVID-19](https://www.data.gouv.fr/en/datasets/donnees-hospitalieres-relatives-a-lepidemie-de-covid-19/)\n", + "* [Indicateurs de suivi de l’épidémie de COVID-19](https://www.data.gouv.fr/fr/datasets/indicateurs-de-suivi-de-lepidemie-de-covid-19/)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "hosp = read_csv(\n", + " \"https://www.data.gouv.fr/en/datasets/r/63352e38-d353-4b54-bfd1-f1b3ee1cabd7\",\n", + " sep=\";\",\n", + ")\n", + "hosp.tail()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "indic = read_csv(\n", + " \"https://www.data.gouv.fr/fr/datasets/r/4acad602-d8b1-4516-bc71-7d5574d5f33e\",\n", + " encoding=\"ISO-8859-1\",\n", + ")\n", + "indic.tail()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Le code suivant explique comment trouver la valeur ``ISO-8859-1``." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# import chardet\n", + "# with open(\"indicateurs-covid19-dep.csv\", \"rb\") as f:\n", + "# content = f.read()\n", + "# chardet.detect(content) # {'encoding': 'ISO-8859-1', 'confidence': 0.73, 'language': ''}" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Q5 : une carte ?\n", + "\n", + "Tracer une carte n'est jamais simple. Il faut tout d'abord récupérer les coordonnées des départements : [Contours des départements français issus d'OpenStreetMap](https://www.data.gouv.fr/en/datasets/contours-des-departements-francais-issus-d-openstreetmap/). Ensuite... de ces fichiers ont été extraits les barycentres de chaque département français : [departement_french_2018.csv](https://github.com/sdpython/ensae_teaching_cs/blob/master/src/ensae_teaching_cs/data/data_shp/departement_french_2018.csv). Ce fichier a été créé avec la fonction implémentée dans le fichier [data_shape_files.py](https://github.com/sdpython/ensae_teaching_cs/blob/master/src/ensae_teaching_cs/data/data_shape_files.py). Ce qui suit est une approximation de carte : on suppose que là où se trouve, les coordonnées longitude et latitude ne sont pas trop éloignées de ce qu'elles pourraient être si elles étaient projetées sur une sphère." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "dep_pos = read_csv(\n", + " \"https://raw.githubusercontent.com/sdpython/ensae_teaching_cs/\"\n", + " \"master/src/ensae_teaching_cs/data/data_shp/departement_french_2018.csv\"\n", + ")\n", + "dep_pos.tail()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "last_extract_date = max(set(indic.extract_date))\n", + "last_extract_date" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "indic_last = indic[indic.extract_date == last_extract_date]\n", + "merge = indic_last.merge(dep_pos, left_on=\"departement\", right_on=\"code_insee\")\n", + "final = merge[[\"code_insee\", \"nom\", \"DEPLONG\", \"DEPLAT\", \"taux_occupation_sae\", \"R\"]]\n", + "metro = final[final.DEPLAT > 40]\n", + "metro" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "fig, ax = plt.subplots(1, 2, figsize=(14, 4))\n", + "bigR1 = metro.R >= 1\n", + "bigR2 = metro.R >= 1.4\n", + "ax[0].scatter(\n", + " metro.loc[bigR2, \"DEPLONG\"], metro.loc[bigR2, \"DEPLAT\"], c=\"red\", label=\"R>=1.4\"\n", + ")\n", + "ax[0].scatter(\n", + " metro.loc[bigR1 & ~bigR2, \"DEPLONG\"],\n", + " metro.loc[bigR1 & ~bigR2, \"DEPLAT\"],\n", + " c=\"orange\",\n", + " label=\"1.3>=R>=1\",\n", + ")\n", + "ax[0].scatter(\n", + " metro.loc[~bigR1, \"DEPLONG\"], metro.loc[~bigR1, \"DEPLAT\"], c=\"blue\", label=\"R<1\"\n", + ")\n", + "ax[0].legend()\n", + "\n", + "bigR1 = metro.taux_occupation_sae >= 25\n", + "bigR2 = metro.taux_occupation_sae >= 45\n", + "ax[1].scatter(\n", + " metro.loc[bigR2, \"DEPLONG\"], metro.loc[bigR2, \"DEPLAT\"], c=\"red\", label=\"SAE>=45\"\n", + ")\n", + "ax[1].scatter(\n", + " metro.loc[bigR1 & ~bigR2, \"DEPLONG\"],\n", + " metro.loc[bigR1 & ~bigR2, \"DEPLAT\"],\n", + " c=\"orange\",\n", + " label=\"45>SAE>=25\",\n", + ")\n", + "ax[1].scatter(\n", + " metro.loc[~bigR1, \"DEPLONG\"], metro.loc[~bigR1, \"DEPLAT\"], c=\"blue\", label=\"SAE<25\"\n", + ")\n", + "ax[1].legend();" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "metro[metro.nom == \"Ardennes\"]" + ] + }, + { + "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": "3.10.6" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/_doc/practice/algo-base/exercice_morse.ipynb b/_doc/practice/algo-base/exercice_morse.ipynb index c775c954..6c95b71c 100644 --- a/_doc/practice/algo-base/exercice_morse.ipynb +++ b/_doc/practice/algo-base/exercice_morse.ipynb @@ -492,7 +492,7 @@ "source": [ "### Solution au problème 2 : toutes les interprétations\n", "\n", - "L'objectif est de sortir toutes les interprétations possibles. ``oo`` peut être ``I`` ou ``EE``. La version qui suit est loin d'être la plus efficace... La version actuelle n'est pas la plus efficace. On cherche simple à trouver tous les chemins possibles reliant deux noeuds d'un graphe. On peut aussi utiliser des [Graph Transformer Network](https://leon.bottou.org/publications/pdf/cvpr-1997.pdf). On peut également voir cela comme un système de [complétion](http://www.xavierdupre.fr/app/mlstatpy/helpsphinx//c_nlp/completion.html) (les listes déroulantes de préfix dans les barres de saisie sur Internet). Dans ce second cas, les suggestions serait les lettres morses." + "L'objectif est de sortir toutes les interprétations possibles. ``oo`` peut être ``I`` ou ``EE``. La version qui suit est loin d'être la plus efficace... La version actuelle n'est pas la plus efficace. On cherche simple à trouver tous les chemins possibles reliant deux noeuds d'un graphe. On peut aussi utiliser des [Graph Transformer Network](https://leon.bottou.org/publications/pdf/cvpr-1997.pdf). On peut également voir cela comme un système de [complétion](https://sdpython.github.io/doc/mlstatpy/dev/c_nlp/completion.html) (les listes déroulantes de préfix dans les barres de saisie sur Internet). Dans ce second cas, les suggestions serait les lettres morses." ] }, { diff --git a/_doc/practice/algo-compose/paris_parcours.ipynb b/_doc/practice/algo-compose/paris_parcours.ipynb index 0eea176d..2ea36731 100644 --- a/_doc/practice/algo-compose/paris_parcours.ipynb +++ b/_doc/practice/algo-compose/paris_parcours.ipynb @@ -655,7 +655,7 @@ "source": [ "Le nombre de noeuds impairs obtenus à la fin doit être inférieur à 2 pour être sûr de trouver un chemin (mais on choisira 0 pour avoir un circuit eulérien). Mon premier essai n'a pas donné satisfaction car j'avais choisi un seuil trop petit lors de la sélection des arcs à ajouter. J'ai augmenté le seuil par la suite. S'il reste encore des noeuds de degré impairs, on a le choix entre augmenter ce seuil - mais l'algorithme est déjà long - ou chercher dans une autre direction comme laisser l'algorithme de Bellman explorer les noeuds de degré impairs. Ca ne veut pas forcément dire qu'il manque des arcs mais que peut-être ils sont mal choisis. Si l'arc $i \\rightarrow j$ est choisi, l'arc $j \\rightarrow k$ ne le sera pas car $j$ aura un degré pair. Mais dans ce cas, si l'arc $j \\rightarrow k$ était le dernier arc disponible pour combler $k$, on est coincé. On peut augmenter le seuil encore mais cela risquee de prendre du temps et puis cela ne fonctionnerait pas toujours sur tous les jeux de données.\n", "\n", - "On pourait alors écrire une sorte d'algorithme itératif qui exécute l'algorithme de Bellman, puis lance celui qui ajoute les arcs. Puis on revient au premier en ajoutant plus d'arcs autour des noeuds problèmatique lors de la seconde étape. L'ensemble est un peu long pour tenir dans un notebook mais le code est celui de la fonction [eulerien_extension](http://www.xavierdupre.fr/app/ensae_teaching_cs/helpsphinx/ensae_teaching_cs/special/rues_paris.html#special.rues_paris.eulerien_extension). Je conseille également la lecture de cet article : [Efficient Algorithms for Eulerian Extension](https://fpt.akt.tu-berlin.de/publications/Eulerian_Extension_and_Rural_Postman_SIDMA.pdf) (voir également [On Making Directed Graphs Eulerian](http://arxiv.org/abs/1101.4283)). L'exécution qui suit prend une vingtaine de minutes." + "On pourait alors écrire une sorte d'algorithme itératif qui exécute l'algorithme de Bellman, puis lance celui qui ajoute les arcs. Puis on revient au premier en ajoutant plus d'arcs autour des noeuds problèmatique lors de la seconde étape. L'ensemble est un peu long pour tenir dans un notebook mais le code est celui de la fonction [eulerien_extension](https://github.com/sdpython/teachpyx/blob/main/teachpyx/practice/rues_paris.py#L313). Je conseille également la lecture de cet article : [Efficient Algorithms for Eulerian Extension](https://fpt.akt.tu-berlin.de/publications/Eulerian_Extension_and_Rural_Postman_SIDMA.pdf) (voir également [On Making Directed Graphs Eulerian](http://arxiv.org/abs/1101.4283)). L'exécution qui suit prend une vingtaine de minutes." ] }, { @@ -698,7 +698,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Quelques algorithmes sont disponibles sur cette page [Eulerian_path](http://en.wikipedia.org/wiki/Eulerian_path). L'algorithme de Hierholzer consiste à commencer un chemin eulérien qui peut revenir au premier avant d'avoir tout parcouru. Dans ce cas, on parcourt les noeuds du graphe pour trouver un noeud qui repart ailleurs et qui revient au même noeud. On insert cette boucle dans le chemin initial. Tout d'abord, on construit une structure qui pour chaque noeud associe les noeuds suivant. La fonction [euler_path](http://www.xavierdupre.fr/app/ensae_teaching_cs/helpsphinx/ensae_teaching_cs/special/rues_paris.html#special.rues_paris.eurler_path)" + "Quelques algorithmes sont disponibles sur cette page [Eulerian_path](http://en.wikipedia.org/wiki/Eulerian_path). L'algorithme de Hierholzer consiste à commencer un chemin eulérien qui peut revenir au premier avant d'avoir tout parcouru. Dans ce cas, on parcourt les noeuds du graphe pour trouver un noeud qui repart ailleurs et qui revient au même noeud. On insert cette boucle dans le chemin initial. Tout d'abord, on construit une structure qui pour chaque noeud associe les noeuds suivant. La fonction [euler_path](https://github.com/sdpython/teachpyx/blob/main/teachpyx/practice/rues_paris.py#L390)" ] }, { diff --git a/_doc/practice/exams/td_note_2018_1.ipynb b/_doc/practice/exams/td_note_2018_1.ipynb index be637a55..a65d29f5 100644 --- a/_doc/practice/exams/td_note_2018_1.ipynb +++ b/_doc/practice/exams/td_note_2018_1.ipynb @@ -669,7 +669,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Si on ne suppose pas que les $Y_i$ sont binaires et qu'ils sont quelconques, les histogrammes contiendront plus de deux éléments. Dans ce cas, il faut conserver deux tableaux triés des $Y_i$, de part et d'autres de la coupure. Lorsqu'on bouge la coupure $k$, cela revient à déplacer $Y_k$ d'un tableau à l'autre ce qui se fera par recherche dichotomique donc en $O(\\ln n)$. La mise à jour de la moyenne des valeurs absolues est immédiate si la fonction ``fct=abs(x-y)`` et pas forcément immédiate dans le cas général. Lorsque c'est une valeur absolue, il faut utiliser quelques résultats sur la [régression quantile](http://www.xavierdupre.fr/app/ensae_teaching_cs/helpsphinx/notebooks/td_note_2017_2.html?highlight=mediane)." + "Si on ne suppose pas que les $Y_i$ sont binaires et qu'ils sont quelconques, les histogrammes contiendront plus de deux éléments. Dans ce cas, il faut conserver deux tableaux triés des $Y_i$, de part et d'autres de la coupure. Lorsqu'on bouge la coupure $k$, cela revient à déplacer $Y_k$ d'un tableau à l'autre ce qui se fera par recherche dichotomique donc en $O(\\ln n)$. La mise à jour de la moyenne des valeurs absolues est immédiate si la fonction ``fct=abs(x-y)`` et pas forcément immédiate dans le cas général. Lorsque c'est une valeur absolue, il faut utiliser quelques résultats sur la [régression quantile](https://sdpython.github.io/doc/teachpyx/dev/practice/exams/td_note_2017_2.html)." ] }, { diff --git a/_doc/practice/py-base/structures_donnees_conversion.ipynb b/_doc/practice/py-base/structures_donnees_conversion.ipynb index 2f901728..2b8ca6af 100644 --- a/_doc/practice/py-base/structures_donnees_conversion.ipynb +++ b/_doc/practice/py-base/structures_donnees_conversion.ipynb @@ -6,7 +6,7 @@ "source": [ "# D'une structure de données à l'autre\n", "\n", - "Ce notebook s'amuse à passer d'une structure de données à une autre, d'une liste à un dictionnaire, d'une liste de liste à un dictionnaire, avec toujours les mêmes données : [list](http://www.xavierdupre.fr/app/teachpyx/helpsphinx/c_lang/types.html#liste), [dict](http://www.xavierdupre.fr/app/teachpyx/helpsphinx/c_lang/types.html#dictionnaire), [tuple](http://www.xavierdupre.fr/app/teachpyx/helpsphinx/c_lang/types.html#tuple)." + "Ce notebook s'amuse à passer d'une structure de données à une autre, d'une liste à un dictionnaire, d'une liste de liste à un dictionnaire, avec toujours les mêmes données : [list](https://sdpython.github.io/doc/teachpyx/dev/py/c_lang/types.html#liste), [dict](https://sdpython.github.io/doc/teachpyx/dev/py/c_lang/types.html#dictionnaire), [tuple](https://sdpython.github.io/doc/teachpyx/dev/py/c_lang/types.html#tuple)." ] }, { From c47be65c37559f52a5b983ff80450513da7279d3 Mon Sep 17 00:00:00 2001 From: Xavier Dupre Date: Sat, 19 Aug 2023 11:51:38 +0200 Subject: [PATCH 03/17] =?UTF-8?q?add=20missing=20piece=C3=A9?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- _doc/c_data/nb_dataframe__.ipynb | 2247 ++++++++++++++++++++++++++++++ 1 file changed, 2247 insertions(+) create mode 100644 _doc/c_data/nb_dataframe__.ipynb diff --git a/_doc/c_data/nb_dataframe__.ipynb b/_doc/c_data/nb_dataframe__.ipynb new file mode 100644 index 00000000..489799ff --- /dev/null +++ b/_doc/c_data/nb_dataframe__.ipynb @@ -0,0 +1,2247 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# 2A.data - DataFrame et Graphes - correction\n", + "\n", + "Opérations standards sur les dataframes ([pandas](http://pandas.pydata.org/)) et les matrices ([numpy](http://www.numpy.org/)). Graphiques avec [matplotlib](https://matplotlib.org/))." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
run previous cell, wait for 2 seconds
\n", + "" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from jyquickhelper import add_notebook_menu\n", + "\n", + "add_notebook_menu()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "

Exercice 1 : créer un fichier Excel

\n", + " \n", + "On souhaite récupérer les données [donnees_enquete_2003_television.txt](http://www.xavierdupre.fr/enseignement/complements/donnees_enquete_2003_television.txt) (source : [INSEE](http://www.insee.fr/fr/themes/detail.asp?ref_id=fd-hdv03&page=fichiers_detail/HDV03/telechargement.htm)).\n", + "\n", + "* ``POIDSLOG`` : Pondération individuelle relative\n", + "* ``POIDSF`` : Variable de pondération individuelle\n", + "* ``cLT1FREQ`` : Nombre d'heures en moyenne passées à regarder la télévision \n", + "* ``cLT2FREQ`` : Unité de temps utilisée pour compter le nombre d'heures passées à regarder la télévision, cette unité est représentée par les quatre valeurs suivantes\n", + " * 0 : non concerné\n", + " * 1 : jour\n", + " * 2 : semaine\n", + " * 3 : mois \n", + " \n", + "Ensuite, on veut :\n", + "\n", + "1. Supprimer les colonnes vides\n", + "2. Obtenir les valeurs distinctes pour la colonne ``cLT2FREQ``\n", + "3. Modifier la matrice pour enlever les lignes pour lesquelles l'unité de temps (cLT2FREQ) n'est pas renseignée ou égale à zéro.\n", + "4. Sauver le résultat au format Excel.\n", + "\n", + "Vous aurez peut-être besoin des fonctions suivantes :\n", + "\n", + "* [numpy.isnan](http://docs.scipy.org/doc/numpy/reference/generated/numpy.isnan.html)\n", + "* [DataFrame.apply](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.apply.html)\n", + "* [DataFrame.fillna](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.fillna.html) ou \n", + "[DataFrame.isnull](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.isnull.html)\n", + "* [DataFrame.copy](http://pandas.pydata.org/pandas-docs/dev/generated/pandas.DataFrame.copy.html)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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POIDLOGPOIDSFcLT1FREQcLT2FREQ
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" + ], + "text/plain": [ + " POIDLOG POIDSF cLT1FREQ cLT2FREQ\n", + "0 0.889422 4766.865201 2 1.0\n", + "1 2.310209 12381.589746 30 1.0\n", + "2 2.740070 14685.431344 6 2.0\n", + "3 1.775545 9516.049939 1 1.0\n", + "4 0.732512 3925.907588 3 1.0" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df = df[[c for c in df.columns if \"Unnamed\" not in c]]\n", + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "8403 7386\n" + ] + }, + { + "data": { + "text/html": [ + "
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POIDLOGPOIDSFcLT1FREQcLT2FREQ
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" + ], + "text/plain": [ + " POIDLOG POIDSF cLT1FREQ cLT2FREQ\n", + "8397 0.502091 2690.961176 3 1.0\n", + "8398 0.306852 1644.574141 6 1.0\n", + "8399 2.501181 13405.104689 6 1.0\n", + "8400 1.382758 7410.905653 1 1.0\n", + "8401 0.343340 1840.132652 3 1.0" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "notnull = df[~df.cLT2FREQ.isnull()] # équivalent ) df [ df.cLT2FREQ.notnull() ]\n", + "print(len(df), len(notnull))\n", + "notnull.tail()" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "notnull.to_excel(\"data.xlsx\") # question 4" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Pour lancer Excel, vous pouvez juste écrire ceci :" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "%system \"data.xlsx\"" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Vous devriez voir quelque chose comme ceci :" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from IPython.display import Image\n", + "\n", + "Image(\"td10exc.png\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "

Questions

\n", + "\n", + "* **Que changerait l'ajout du paramètre ``how='outer'`` dans ce cas ?**\n", + "* **On cherche à joindre deux tables A,B qui ont chacune trois clés distinctes : $c_1, c_2, c_3$. Il y a respectivement dans chaque table $A_i$ et $B_i$ lignes pour la clé $c_i$. Combien la table finale issue de la fusion des deux tables contiendra-t-elle de lignes ?**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "L'ajout du paramètres ``how='outer'`` ne changerait rien dans ce cas car les deux tables fusionnées contiennent exactement les mêmes clés.\n", + "\n", + "Le nombre de lignes obtenus serait $\\sum_{i=1}^{3} A_i B_i$. Il y a trois clés, chaque ligne de la table A doit être associée à toutes les lignes de la table B partageant la même clé." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "

Exercice 2 : lambda fonction

\n", + "\n", + "Ecrire une lambda fonction qui prend deux paramètres et qui est équivalente à la fonction suivante :" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "def delta(x, y):\n", + " return max(x, y) - min(x, y)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "delta = lambda x, y: max(x, y) - min(x, y)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1" + ] + }, + "execution_count": 12, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "delta(4, 5)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "((851, 5), (8403, 5))" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import random\n", + "\n", + "df[\"select\"] = df.apply(lambda row: random.randint(1, 10), axis=1)\n", + "echantillon = df[df[\"select\"] == 1]\n", + "echantillon.shape, df.shape" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "

Exercice 3 : moyennes par groupes

\n", + " \n", + "Toujours avec le même jeu de données ([marathon.txt](http://www.xavierdupre.fr/enseignement/complements/marathon.txt)), on veut ajouter une ligne à la fin du tableau croisé dynamique contenant la moyenne en secondes des temps des marathons pour chaque ville." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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villeanneetempssecondes
0PARIS201102:06:297589
1PARIS201002:06:417601
2PARIS200902:05:477547
3PARIS200802:06:407600
4PARIS200702:07:177637
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" + ], + "text/plain": [ + " ville annee temps secondes\n", + "0 PARIS 2011 02:06:29 7589\n", + "1 PARIS 2010 02:06:41 7601\n", + "2 PARIS 2009 02:05:47 7547\n", + "3 PARIS 2008 02:06:40 7600\n", + "4 PARIS 2007 02:07:17 7637" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from ensae_teaching_cs.data import marathon\n", + "import pandas\n", + "\n", + "df = pandas.read_csv(\n", + " marathon(), sep=\"\\t\", names=[\"ville\", \"annee\", \"temps\", \"secondes\"]\n", + ")\n", + "df.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "La solution requiert trois étapes.\n", + "\n", + "1. Pour avoir la moyenne par villes, il faut grouper les lignes associées à la même villes.\n", + "2. Ensuite, il faut introduire ces moyennes dans la table initiale : on fusionne.\n", + "3. On effectue le même pivot que dans l'énoncé." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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villesecondes
0AMSTERDAM7883.371429
1BERLIN7922.315789
2BOSTON7891.061224
3CHICAGO7815.909091
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" + ], + "text/plain": [ + " ville secondes\n", + "0 AMSTERDAM 7883.371429\n", + "1 BERLIN 7922.315789\n", + "2 BOSTON 7891.061224\n", + "3 CHICAGO 7815.909091\n", + "4 FUKUOKA 8075.187500" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# étape 1\n", + "# par défaut, la méthode groupby utilise la clé de group comme index\n", + "# pour ne pas le faire, il faut préciser as_index = False\n", + "gr = df[[\"ville\", \"secondes\"]].groupby(\"ville\", as_index=False).mean()\n", + "gr.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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villeanneetempssecondes_xsecondes_y
0PARIS201102:06:2975897937.028571
1PARIS201002:06:4176017937.028571
2PARIS200902:05:4775477937.028571
3PARIS200802:06:4076007937.028571
4PARIS200702:07:1776377937.028571
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" + ], + "text/plain": [ + " ville annee temps secondes_x secondes_y\n", + "0 PARIS 2011 02:06:29 7589 7937.028571\n", + "1 PARIS 2010 02:06:41 7601 7937.028571\n", + "2 PARIS 2009 02:05:47 7547 7937.028571\n", + "3 PARIS 2008 02:06:40 7600 7937.028571\n", + "4 PARIS 2007 02:07:17 7637 7937.028571" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# étape 2 - on ajoute une colonne\n", + "tout = df.merge(gr, on=\"ville\")\n", + "tout.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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villeAMSTERDAMBERLINBOSTONCHICAGOFUKUOKALONDONNEW YORKPARISSTOCKOLM
annee
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20097578.07568.07722.07541.07518.07510.07755.07547.08134.0
20107544.07508.07552.07583.07704.07519.07694.07601.07968.0
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" + ], + "text/plain": [ + "ville AMSTERDAM BERLIN BOSTON CHICAGO FUKUOKA LONDON NEW YORK PARIS \\\n", + "annee \n", + "2007 7589.0 7466.0 8053.0 7871.0 7599.0 7661.0 7744.0 7637.0 \n", + "2008 7672.0 7439.0 7665.0 7585.0 7570.0 7515.0 7723.0 7600.0 \n", + "2009 7578.0 7568.0 7722.0 7541.0 7518.0 7510.0 7755.0 7547.0 \n", + "2010 7544.0 7508.0 7552.0 7583.0 7704.0 7519.0 7694.0 7601.0 \n", + "2011 NaN 7418.0 7382.0 NaN NaN 7480.0 NaN 7589.0 \n", + "\n", + "ville STOCKOLM \n", + "annee \n", + "2007 8456.0 \n", + "2008 8163.0 \n", + "2009 8134.0 \n", + "2010 7968.0 \n", + "2011 8047.0 " + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# étape 3\n", + "piv = tout.pivot(\"annee\", \"ville\", \"secondes_x\")\n", + "piv.tail()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "A partir de là, on ne voit pas trop comment s'en sortir. Voici ce que je propose :\n", + "\n", + "1. On effectue un pivot sur la petite matrice des moyennes.\n", + "2. On ajoute ce second pivot avec le premier (celui de l'énoncé)." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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villeAMSTERDAMBERLINBOSTONCHICAGOFUKUOKALONDONNEW YORKPARISSTOCKOLM
annee
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" + ], + "text/plain": [ + "ville AMSTERDAM BERLIN BOSTON CHICAGO FUKUOKA \\\n", + "annee \n", + "moyenne 7883.371429 7922.315789 7891.061224 7815.909091 8075.1875 \n", + "\n", + "ville LONDON NEW YORK PARIS STOCKOLM \n", + "annee \n", + "moyenne 7695.16129 7928.560976 7937.028571 8133.393939 " + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gr[\"annee\"] = \"moyenne\"\n", + "pivmean = gr.pivot(\"annee\", \"ville\", \"secondes\")\n", + "pivmean" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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villeAMSTERDAMBERLINBOSTONCHICAGOFUKUOKALONDONNEW YORKPARISSTOCKOLM
annee
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" + ], + "text/plain": [ + "ville AMSTERDAM BERLIN BOSTON CHICAGO FUKUOKA \\\n", + "annee \n", + "2008 7672.000000 7439.000000 7665.000000 7585.000000 7570.0000 \n", + "2009 7578.000000 7568.000000 7722.000000 7541.000000 7518.0000 \n", + "2010 7544.000000 7508.000000 7552.000000 7583.000000 7704.0000 \n", + "2011 NaN 7418.000000 7382.000000 NaN NaN \n", + "moyenne 7883.371429 7922.315789 7891.061224 7815.909091 8075.1875 \n", + "\n", + "ville LONDON NEW YORK PARIS STOCKOLM \n", + "annee \n", + "2008 7515.00000 7723.000000 7600.000000 8163.000000 \n", + "2009 7510.00000 7755.000000 7547.000000 8134.000000 \n", + "2010 7519.00000 7694.000000 7601.000000 7968.000000 \n", + "2011 7480.00000 NaN 7589.000000 8047.000000 \n", + "moyenne 7695.16129 7928.560976 7937.028571 8133.393939 " + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "piv = df.pivot(\"annee\", \"ville\", \"secondes\")\n", + "pandas.concat([piv, pivmean]).tail()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "En résumé, cela donne (j'ajoute aussi le nombre de marathons courus) :" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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villeAMSTERDAMBERLINBOSTONCHICAGOFUKUOKALONDONNEW YORKPARISSTOCKOLM
annee
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" + ], + "text/plain": [ + "ville AMSTERDAM BERLIN BOSTON CHICAGO FUKUOKA \\\n", + "annee \n", + "2008 7672.000000 7439.000000 7665.000000 7585.000000 7570.0000 \n", + "2009 7578.000000 7568.000000 7722.000000 7541.000000 7518.0000 \n", + "2010 7544.000000 7508.000000 7552.000000 7583.000000 7704.0000 \n", + "2011 NaN 7418.000000 7382.000000 NaN NaN \n", + "moyenne 7883.371429 7922.315789 7891.061224 7815.909091 8075.1875 \n", + "\n", + "ville LONDON NEW YORK PARIS STOCKOLM \n", + "annee \n", + "2008 7515.00000 7723.000000 7600.000000 8163.000000 \n", + "2009 7510.00000 7755.000000 7547.000000 8134.000000 \n", + "2010 7519.00000 7694.000000 7601.000000 7968.000000 \n", + "2011 7480.00000 NaN 7589.000000 8047.000000 \n", + "moyenne 7695.16129 7928.560976 7937.028571 8133.393939 " + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import pandas, urllib.request\n", + "from ensae_teaching_cs.data import marathon\n", + "\n", + "df = pandas.read_csv(\n", + " marathon(filename=True), sep=\"\\t\", names=[\"ville\", \"annee\", \"temps\", \"secondes\"]\n", + ")\n", + "piv = df.pivot(\"annee\", \"ville\", \"secondes\")\n", + "gr = df[[\"ville\", \"secondes\"]].groupby(\"ville\", as_index=False).mean()\n", + "gr[\"annee\"] = \"moyenne\"\n", + "pivmean = gr.pivot(\"annee\", \"ville\", \"secondes\")\n", + "\n", + "pandas.concat([piv, pivmean]).tail()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "

Exercice 4 : écart entre les mariés

\n", + "\n", + "1. En ajoutant une colonne et en utilisant l'opération [group by](http://pandas.pydata.org/pandas-docs/stable/groupby.html), on veut obtenir la distribution du nombre de mariages en fonction de l'écart entre les mariés. Au besoin, on changera le type d'une colone ou deux.\n", + "2. On veut tracer un nuage de points avec en abscisse l'âge du mari, en ordonnée, l'âge de la femme. Il faudra peut-être jeter un coup d'oeil sur la documentation de la méthode [plot](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.plot.html)." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Download of etatcivil2012_mar2012_dbase.zip: DONE!\n", + "Download of etatcivil2012_nais2012_dbase.zip: DONE!\n", + "Download of etatcivil2012_dec2012_dbase.zip: DONE!\n" + ] + } + ], + "source": [ + "import urllib.request\n", + "import zipfile\n", + "import http.client\n", + "\n", + "\n", + "def download_and_save(name, root_url):\n", + " try:\n", + " response = urllib.request.urlopen(root_url + name)\n", + " except (TimeoutError, urllib.request.URLError, http.client.BadStatusLine):\n", + " # back up plan\n", + " root_url = \"http://www.xavierdupre.fr/enseignement/complements/\"\n", + " response = urllib.request.urlopen(root_url + name)\n", + " with open(name, \"wb\") as outfile:\n", + " outfile.write(response.read())\n", + "\n", + "\n", + "def unzip(name):\n", + " with zipfile.ZipFile(name, \"r\") as z:\n", + " z.extractall(\".\")\n", + "\n", + "\n", + "filenames = [\n", + " \"etatcivil2012_mar2012_dbase.zip\",\n", + " \"etatcivil2012_nais2012_dbase.zip\",\n", + " \"etatcivil2012_dec2012_dbase.zip\",\n", + "]\n", + "root_url = \"http://telechargement.insee.fr/fichiersdetail/etatcivil2012/dbase/\"\n", + "\n", + "for filename in filenames:\n", + " download_and_save(filename, root_url)\n", + " unzip(filename)\n", + " print(\"Download of {}: DONE!\".format(filename))" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "use of zipped version\n", + "(246123, 16) Index(['AMAR', 'ANAISF', 'ANAISH', 'DEPDOM', 'DEPMAR', 'DEPNAISF', 'DEPNAISH',\n", + " 'ETAMATF', 'ETAMATH', 'INDNATF', 'INDNATH', 'JSEMAINE', 'MMAR',\n", + " 'NBENFCOM', 'TUCOM', 'TUDOM'],\n", + " dtype='object')\n" + ] + }, + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " AMAR ANAISF ANAISH DEPDOM DEPMAR DEPNAISF DEPNAISH ETAMATF ETAMATH \\\n", + "0 2012 1984 1982 99 29 99 75 1 1 \n", + "1 2012 1969 1956 99 75 99 69 4 4 \n", + "2 2012 1992 1982 99 34 99 99 1 1 \n", + "3 2012 1987 1985 99 13 84 99 1 1 \n", + "4 2012 1963 1968 99 26 99 99 1 1 \n", + "\n", + " INDNATF INDNATH JSEMAINE MMAR NBENFCOM TUCOM TUDOM \n", + "0 2 1 1 1 N NaN 9 \n", + "1 2 2 3 1 N NaN 9 \n", + "2 1 2 5 1 N NaN 9 \n", + "3 1 2 4 1 N NaN 9 \n", + "4 2 2 6 1 N NaN 9 " + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "import pandas\n", + "\n", + "try:\n", + " from dbfread_ import DBF\n", + "\n", + " use_dbfread = True\n", + "except ImportError as e:\n", + " use_dbfread = False\n", + "\n", + "if use_dbfread:\n", + " print(\"use of dbfread\")\n", + "\n", + " def dBase2df(dbase_filename):\n", + " table = DBF(dbase_filename, load=True, encoding=\"cp437\")\n", + " return pandas.DataFrame(table.records)\n", + "\n", + " df = dBase2df(\"mar2012.dbf\")\n", + "else:\n", + " print(\"use of zipped version\")\n", + " import pyensae.datasource\n", + "\n", + " data = pyensae.datasource.download_data(\"mar2012.zip\")\n", + " df = pandas.read_csv(data[0], sep=\"\\t\", encoding=\"utf8\", low_memory=False)\n", + "\n", + "print(df.shape, df.columns)\n", + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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AMARANAISFANAISHDEPDOMDEPMARDEPNAISFDEPNAISHETAMATFETAMATHINDNATFINDNATHJSEMAINEMMARNBENFCOMTUCOMTUDOMageHageF
020121984198299299975112111NNaN93230
120121969195699759969442231NNaN95845
220121992198299349999111251NNaN93222
320121987198599138499111241NNaN92927
420121963196899269999112261NNaN94651
\n", + "
" + ], + "text/plain": [ + " AMAR ANAISF ANAISH DEPDOM DEPMAR DEPNAISF DEPNAISH ETAMATF ETAMATH \\\n", + "0 2012 1984 1982 99 29 99 75 1 1 \n", + "1 2012 1969 1956 99 75 99 69 4 4 \n", + "2 2012 1992 1982 99 34 99 99 1 1 \n", + "3 2012 1987 1985 99 13 84 99 1 1 \n", + "4 2012 1963 1968 99 26 99 99 1 1 \n", + "\n", + " INDNATF INDNATH JSEMAINE MMAR NBENFCOM TUCOM TUDOM ageH ageF \n", + "0 2 1 1 1 N NaN 9 32 30 \n", + "1 2 2 3 1 N NaN 9 58 45 \n", + "2 1 2 5 1 N NaN 9 32 22 \n", + "3 1 2 4 1 N NaN 9 29 27 \n", + "4 2 2 6 1 N NaN 9 46 51 " + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df[\"ageH\"] = df.apply(lambda r: 2014 - int(r[\"ANAISH\"]), axis=1)\n", + "df[\"ageF\"] = df.apply(lambda r: 2014 - int(r[\"ANAISF\"]), axis=1)\n", + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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RJdQ5eZwKqD2fTgbCqnsp28x+n69d4sXH3E4EIyLOhGIU+FahOAVgVoMLwYgI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\n2RSyvaXWFwRRytBiMQUYiVpWFulJ2SyUlJqao5D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Z/PGi9FN5QRjdrlt+/fpZ79V80HQdZjYDu9zrDiD+CGDfvn3yt/8j1jD63ve+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\npnSqCH36sv7iO/wN6MOwzrD/JSinBmDx5CZI+TyGFgXvUNYPxN3bQcU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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df.plot(x=\"ageH\", y=\"ageF\", kind=\"hexbin\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "

Exercice 5 : graphe de la distribution avec pandas

\n", + "\n", + "Le module ``pandas`` propose un panel de graphiques standard faciles à obtenir. On souhaite représenter la distribution sous forme d'histogramme. A vous de choisir le meilleure graphique depuis la page [Visualization](http://pandas.pydata.org/pandas-docs/stable/visualization.html)." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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bb789Tz/9dAMnpJFmzZqVRx55JD/84Q/zR3/0R3nxxReTOJfwv4aGhrJq1arc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\nuUsN36EAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df[\"ANAISH\"] = df.apply(lambda r: int(r[\"ANAISH\"]), axis=1)\n", + "df[\"ANAISF\"] = df.apply(lambda r: int(r[\"ANAISF\"]), axis=1)\n", + "df[\"differenceHF\"] = df.ANAISH - df.ANAISF\n", + "df[\"nb\"] = 1\n", + "dist = df[[\"nb\", \"differenceHF\"]].groupby(\"differenceHF\", as_index=False).count()\n", + "df[\"differenceHF\"].hist(figsize=(16, 6), bins=50)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "

Exercice 6 : distribution des mariages par jour

\n", + " \n", + "On veut obtenir un graphe qui contient l'histogramme de la distribution du nombre de mariages par jour de la semaine et d'ajouter une seconde courbe correspond avec un second axe à la répartition cumulée.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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f6RwwF6KNHN9yWdFpJAEJIeyeOpAKBke00DG2DkXUIwlICGHXlFKoAykwLBTN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\nYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "df[\"nb\"] = 1\n", + "dissem = df[[\"JSEMAINE\", \"nb\"]].groupby(\"JSEMAINE\", as_index=False).sum()\n", + "total = dissem[\"nb\"].sum()\n", + "repsem = dissem.cumsum()\n", + "repsem[\"nb\"] /= total\n", + "\n", + "ax = dissem[\"nb\"].plot(kind=\"bar\")\n", + "repsem[\"nb\"].plot(ax=ax, secondary_y=True)\n", + "ax.set_title(\"distribution des mariages par jour de la semaine\")" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": true + }, + "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": "3.6.3" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +} From 3146dcd66d94c4c9e0b378838207c2c5e7ddfa87 Mon Sep 17 00:00:00 2001 From: Xavier Dupre Date: Mon, 28 Aug 2023 10:42:38 +0200 Subject: [PATCH 04/17] fix urls --- _doc/c_data/nb_array.ipynb | 4 ++-- _doc/c_data/nb_dataframe.ipynb | 14 +++++++------- _doc/c_data/nb_dataframe__.ipynb | 12 ++++++------ _doc/c_data/nb_pandas.ipynb | 3 +-- 4 files changed, 16 insertions(+), 17 deletions(-) diff --git a/_doc/c_data/nb_array.ipynb b/_doc/c_data/nb_array.ipynb index b6fe1166..4531c81f 100644 --- a/_doc/c_data/nb_array.ipynb +++ b/_doc/c_data/nb_array.ipynb @@ -1711,7 +1711,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Le module [numpy.random](http://docs.scipy.org/doc/numpy/reference/routines.random.html) apporte à python la possibilité de générer un échantillon de taille $n$ directement, alors que le module natif de python ne produit des tirages que un par un. Le module [numpy.random](http://docs.scipy.org/doc/numpy/reference/routines.random.html) est donc bien plus efficace si on veut tirer des échantillon conséquents. Par ailleurs, [scipy.stats](http://docs.scipy.org/doc/scipy/reference/stats.html) fournit des méthodes pour un très grand nombre de distributions et quelques fonctions classiques de statistiques. " + "Le module [numpy.random](https://numpy.org/doc/stable/reference/random/index.html) apporte à python la possibilité de générer un échantillon de taille $n$ directement, alors que le module natif de python ne produit des tirages que un par un. Le module [numpy.random](http://docs.scipy.org/doc/numpy/reference/routines.random.html) est donc bien plus efficace si on veut tirer des échantillon conséquents. Par ailleurs, [scipy.stats](http://docs.scipy.org/doc/scipy/reference/stats.html) fournit des méthodes pour un très grand nombre de distributions et quelques fonctions classiques de statistiques. " ] }, { @@ -2288,7 +2288,7 @@ "metadata": {}, "source": [ "* [100 numpy exercises](http://www.loria.fr/~rougier/teaching/numpy.100/)\n", - "* [Un tutoriel bien fait et très complet sur numpy](http://www.tp.umu.se/~nylen/pylect/intro/numpy/numpy.html). L'un des auteurs n'est autre que Gaël Varoquaux qui sera présent pour la séance 3. Voir aussi l'[ensemble du tutoriel](http://www.tp.umu.se/~nylen/pylect/index.html) et notamment la [partie optimisation](http://www.tp.umu.se/~nylen/pylect/intro/scipy.html#optimization-and-fit-scipy-optimize) " + "* [Un tutoriel bien fait et très complet sur numpy](http://gael-varoquaux.info/scipy-lecture-notes/intro/numpy/index.html). L'un des auteurs n'est autre que Gaël Varoquaux qui sera présent pour la séance 3. Voir aussi la [partie optimisation](http://gael-varoquaux.info/scipy-lecture-notes/advanced/mathematical_optimization/index.html) " ] }, { diff --git a/_doc/c_data/nb_dataframe.ipynb b/_doc/c_data/nb_dataframe.ipynb index 1627b645..c36b750b 100644 --- a/_doc/c_data/nb_dataframe.ipynb +++ b/_doc/c_data/nb_dataframe.ipynb @@ -615,7 +615,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Pour prendre la transposée (voir aussi [DataFrame.transpose](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.Panel.transpose.html)) :" + "Pour prendre la transposée (voir aussi [DataFrame.transpose](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.transpose.html)) :" ] }, { @@ -691,7 +691,7 @@ "### Lecture et écriture de DataFrame\n", "\n", "Aujourd'hui, on n'a plus besoin de réécrire soi-même une fonction de lecture ou d'écriture de données présentées sous forme de tables. Il existe des fonctions plus génériques qui gère un grand nombre de cas.\n", - "Cette section présente brièvement les fonctions qui permettent de lire/écrire un [DataFrame](http://en.wikipedia.org/wiki/Data_frame) aux formats [texte](http://fr.wikipedia.org/wiki/Fichier_texte)/[Excel](http://fr.wikipedia.org/wiki/Microsoft_Excel). On reprend l'exemple de section précédente. L'instruction ``encoding=utf-8`` n'est pas obligatoire mais conseillée lorsque les données contiennent des accents (voir [read_csv](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.io.parsers.read_csv.html))." + "Cette section présente brièvement les fonctions qui permettent de lire/écrire un [DataFrame](http://en.wikipedia.org/wiki/Data_frame) aux formats [texte](http://fr.wikipedia.org/wiki/Fichier_texte)/[Excel](http://fr.wikipedia.org/wiki/Microsoft_Excel). On reprend l'exemple de section précédente. L'instruction ``encoding=utf-8`` n'est pas obligatoire mais conseillée lorsque les données contiennent des accents (voir [read_csv](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.read_csv.html))." ] }, { @@ -748,7 +748,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "On peut récupérer des données directement depuis Internet ou une chaîne de caractères et afficher le début ([head](pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.head.html)) ou la fin ([tail](pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.tail.html))." + "On peut récupérer des données directement depuis Internet ou une chaîne de caractères et afficher le début ([head](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.head.html)) ou la fin ([tail](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.tail.html))." ] }, { @@ -2875,9 +2875,9 @@ "* ``FULL OUTER JOIN`` - **outer** : on garde tous les appariements réussis et les lignes non appariées des deux tables\n", "\n", "Exemples et documentation :\n", - "* [merging, joining](http://pandas.pydata.org/pandas-docs/stable/merging.html#database-style-dataframe-joining-merging)\n", - "* [join](http://pandas.pydata.org/pandas-docs/stable/pandas.DataFrame.join.html)\n", - "* [merge](http://pandas.pydata.org/pandas-docs/stable/pandas.merge.html) ou [DataFrame.merge](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.merge.html)\n", + "* [merging, joining](https://pandas.pydata.org/pandas-docs/stable/user_guide/merging.html#merging)\n", + "* [join](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.join.html#pandas.DataFrame.join)\n", + "* [merge](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.merge.html) ou [DataFrame.merge](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.merge.html#pandas.DataFrame.merge)\n", "* [jointures SQL](http://sql.sh/cours/jointures) - illustrations avec graphiques en patates\n", "\n", "Si les noms des colonnes utilisées lors de la fusion ne sont pas mentionnés, implicitement, c'est l'index qui sera choisi. Pour les grandes tables (> 1.000.000 lignes), il est fortement recommandé d'ajouter un index s'il n'existe pas avant de fusionner. **A quoi correspondent les quatre cas suivants (LEFT ou FULL ou RIGHT ou INNER) ?**" @@ -3874,7 +3874,7 @@ " \"etatcivil2012_nais2012_dbase.zip\",\n", " \"etatcivil2012_dec2012_dbase.zip\",\n", "]\n", - "root_url = \"http://telechargement.insee.fr/fichiersdetail/etatcivil2012/dbase/\"\n", + "root_url = \"https://www.insee.fr/fr/statistiques/fichier/2407910/\"\n", "\n", "for filename in filenames:\n", " download_and_save(filename, root_url)\n", diff --git a/_doc/c_data/nb_dataframe__.ipynb b/_doc/c_data/nb_dataframe__.ipynb index 489799ff..ff923794 100644 --- a/_doc/c_data/nb_dataframe__.ipynb +++ b/_doc/c_data/nb_dataframe__.ipynb @@ -666,7 +666,7 @@ "outputs": [ { "data": { - "image/png": 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WdJBTrvw11K7/msLnutak6e3syUixBs0cdMJKoEEMFdFamq5/t+cCmuSI22uNNynY8jzp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\nrRlL6B/LmFoT7xsOguAC4nP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", "text/plain": [ "" ] @@ -1666,7 +1666,7 @@ " \"etatcivil2012_nais2012_dbase.zip\",\n", " \"etatcivil2012_dec2012_dbase.zip\",\n", "]\n", - "root_url = \"http://telechargement.insee.fr/fichiersdetail/etatcivil2012/dbase/\"\n", + "root_url = \"https://www.insee.fr/fr/statistiques/fichier/2407910/\"\n", "\n", "for filename in filenames:\n", " download_and_save(filename, root_url)\n", @@ -2079,7 +2079,7 @@ }, { "data": { - "image/png": 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RJdQ5eZwKqD2fTgbCqnsp28x+n69d4sXH3E4EIyLOhGIU+FahOAVgVoMLwYgI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\ngg==\n", 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", 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Z/PGi9FN5QRjdrlt+/fpZ79V80HQdZjYDu9zrDiD+CGDfvn3yt/8j1jD63ve+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\npnSqCH36sv7iO/wN6MOwzrD/JSinBmDx5CZI+TyGFgXvUNYPxN3bQcU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", 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f6RwwF6KNHN9yWdFpJAEJIeyeOpAKBke00DG2DkXUIwlICGHXlFKoAykwLBTN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\nYII=\n", 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", "text/plain": [ "" ] diff --git a/_doc/c_data/nb_pandas.ipynb b/_doc/c_data/nb_pandas.ipynb index 9ab1e25a..266a9bf4 100644 --- a/_doc/c_data/nb_pandas.ipynb +++ b/_doc/c_data/nb_pandas.ipynb @@ -1250,8 +1250,7 @@ "outputs": [], "source": [ "dep_pos = read_csv(\n", - " \"https://raw.githubusercontent.com/sdpython/ensae_teaching_cs/\"\n", - " \"master/src/ensae_teaching_cs/data/data_shp/departement_french_2018.csv\"\n", + " \"https://raw.githubusercontent.com/sdpython/ensae_teaching_cs/master/src/ensae_teaching_cs/data/data_shp/departement_french_2018.csv\"\n", ")\n", "dep_pos.tail()" ] From 9184eecf12ebf1c4f8597a5967a0f90dedb7a638 Mon Sep 17 00:00:00 2001 From: Xavier Dupre Date: Mon, 28 Aug 2023 11:05:38 +0200 Subject: [PATCH 05/17] urls --- .github/workflows/check-urls.yml | 2 +- _doc/c_data/nb_array.ipynb | 8 +- _doc/c_data/nb_dataframe.ipynb | 4 +- _doc/c_data/nb_pandas.ipynb | 2638 ++++++++++++++++++++++++++++-- 4 files changed, 2468 insertions(+), 184 deletions(-) diff --git a/.github/workflows/check-urls.yml b/.github/workflows/check-urls.yml index 15b236ff..c7c66f20 100644 --- a/.github/workflows/check-urls.yml +++ b/.github/workflows/check-urls.yml @@ -42,6 +42,6 @@ jobs: print_all: false timeout: 5 retry_count# : 3 - exclude_urls: https://hal.archives-ouvertes.fr/hal-00990252/document,https://github.com/onnx/models/raw/main/vision/classification/mobilenet/model/mobilenetv2-12.onnx,https://arxiv.org/ftp/arxiv/papers/1510/1510.04863.pdf,https://hal.science/hal-01125940,https://www.data.gouv.fr/fr/datasets/r/63352e38-d353-4b54-bfd1-f1b3ee1cabd7,https://github.com/sdpython/teachpyx/raw/main/_data/examen2021.zip,https://www.enseignement.polytechnique.fr/informatique/INF423/uploads/Main/poly-good.pdf + exclude_urls: http://www.xavierdupre.fr/enseignement/complements/,https://www.gutenberg.org/cache/epub/12587/pg12587.txt,https://www.insee.fr/fr/statistiques/fichier/2407910/,https://castor-informatique.fr,https://hal.archives-ouvertes.fr/hal-00990252/document,https://github.com/onnx/models/raw/main/vision/classification/mobilenet/model/mobilenetv2-12.onnx,https://arxiv.org/ftp/arxiv/papers/1510/1510.04863.pdf,https://hal.science/hal-01125940,https://www.data.gouv.fr/fr/datasets/r/63352e38-d353-4b54-bfd1-f1b3ee1cabd7,https://github.com/sdpython/teachpyx/raw/main/_data/examen2021.zip,https://www.enseignement.polytechnique.fr/informatique/INF423/uploads/Main/poly-good.pdf exclude_patterns: https://www.data.gouv.fr/fr/datasets/r/e3d83ab3-dc52-4c99-abaf-8a38050cc68c,https://github.com/onnx/models/raw/main/vision/classification/mobilenet/model/mobilenetv2-12.onnx,https://www.data.gouv.fr/fr/datasets/r/63352e38-d353-4b54-bfd1-f1b3ee1cabd7,https://github.com/sdpython/teachpyx/raw/main/_data/examen2021.zip # force_pass : true diff --git a/_doc/c_data/nb_array.ipynb b/_doc/c_data/nb_array.ipynb index 4531c81f..9b940e3c 100644 --- a/_doc/c_data/nb_array.ipynb +++ b/_doc/c_data/nb_array.ipynb @@ -1711,14 +1711,14 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Le module [numpy.random](https://numpy.org/doc/stable/reference/random/index.html) apporte à python la possibilité de générer un échantillon de taille $n$ directement, alors que le module natif de python ne produit des tirages que un par un. Le module [numpy.random](http://docs.scipy.org/doc/numpy/reference/routines.random.html) est donc bien plus efficace si on veut tirer des échantillon conséquents. Par ailleurs, [scipy.stats](http://docs.scipy.org/doc/scipy/reference/stats.html) fournit des méthodes pour un très grand nombre de distributions et quelques fonctions classiques de statistiques. " + "Le module [numpy.random](https://numpy.org/doc/stable/reference/random/index.html) apporte à python la possibilité de générer un échantillon de taille $n$ directement, alors que le module natif de python ne produit des tirages que un par un. Le module [https://numpy.org/doc/stable/reference/random/index.html#module-numpy.randomnumpy.random](https://numpy.org/doc/stable/reference/random/index.html) est donc bien plus efficace si on veut tirer des échantillon conséquents. Par ailleurs, [scipy.stats](https://docs.scipy.org/doc/scipy/reference/stats.html) fournit des méthodes pour un très grand nombre de distributions et quelques fonctions classiques de statistiques. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Par exemple, on peut obtenir un array 4x3 de tirages gaussiens standard (soit en utilisant [*randn*](http://docs.scipy.org/doc/numpy/reference/generated/numpy.random.randn.html#numpy.random.randn) ou [*normal*](http://docs.scipy.org/doc/numpy/reference/generated/numpy.random.normal.html#numpy.random.normal)):" + "Par exemple, on peut obtenir un array 4x3 de tirages gaussiens standard (soit en utilisant [*randn*](https://numpy.org/doc/stable/reference/random/generated/numpy.random.randn.html) ou [*normal*](https://numpy.org/doc/stable/reference/random/generated/numpy.random.normal.html#numpy.random.normal)):" ] }, { @@ -1867,7 +1867,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Dans la suite, je développe un petit exemple inspiré du [tutoriel](http://www.mathworks.fr/fr/help/optim/examples/tutorial-for-the-optimization-toolbox.html#zmw57dd0e494) de la toolbox d'optimisation de Matlab. Par ailleurs, la [documentation](http://www.mathworks.fr/fr/help/optim/ug/unconstrained-nonlinear-optimization-algorithms.html#brnoxxo) de cette toolbox est plutôt claire et peut toujours vous servir lorsque que vous avez besoin de vous rafraichir la mémoire sur l'optimisation numérique." + "Dans la suite, je développe un petit exemple inspiré du [tutoriel](https://fr.mathworks.com/help/optim/ug/unconstrained-nonlinear-optimization-algorithms.html) de la toolbox d'optimisation de Matlab. Par ailleurs, la documentation de cette toolbox est plutôt claire et peut toujours vous servir lorsque que vous avez besoin de vous rafraichir la mémoire sur l'optimisation numérique." ] }, { @@ -2516,7 +2516,7 @@ "* Combien de marches s'éloigne de plus de 50 de l'origine?\n", "* Parmi celles qui le font, quelle est la moyenne des temps de passage (i.e. le premier moment où ces marches dépassent +/-50)?\n", "\n", - "Vous aurez peut-être besoin des fonctions suivantes: [np.abs](http://docs.scipy.org/doc/numpy/reference/generated/numpy.absolute.html), [np.mean](http://docs.scipy.org/doc/numpy/reference/generated/numpy.mean.html), [np.max](http://docs.scipy.org/doc/numpy/reference/generated/numpy.maximum.html), [np.where](http://docs.scipy.org/doc/numpy/reference/generated/numpy.where.html), [np.argmax](http://docs.scipy.org/doc/numpy/reference/generated/numpy.argmax.html), [np.any](http://docs.scipy.org/doc/numpy/reference/generated/numpy.any.html), [np.cumsum](http://docs.scipy.org/doc/numpy/reference/generated/numpy.cumsum.html), [np.random.randint](http://docs.scipy.org/doc/numpy/reference/generated/numpy.random.randint.html)." + "Vous aurez peut-être besoin des fonctions suivantes: [np.abs](https://numpy.org/doc/stable/reference/generated/numpy.absolute.html), [np.mean](https://numpy.org/doc/stable/reference/generated/numpy.mean.html), [np.max](https://numpy.org/doc/stable/reference/generated/numpy.max.html), [np.where](https://numpy.org/doc/stable/reference/generated/numpy.where.html), [np.argmax](https://numpy.org/doc/stable/reference/generated/numpy.argmax.html), [np.any](http://docs.scipy.org/doc/numpy/reference/generated/numpy.any.html), [np.cumsum](https://numpy.org/doc/stable/reference/generated/numpy.cumsum.html), [np.random.randint](https://numpy.org/doc/stable/reference/random/generated/numpy.random.randint.html)." ] }, { diff --git a/_doc/c_data/nb_dataframe.ipynb b/_doc/c_data/nb_dataframe.ipynb index c36b750b..420d9e15 100644 --- a/_doc/c_data/nb_dataframe.ipynb +++ b/_doc/c_data/nb_dataframe.ipynb @@ -3535,9 +3535,9 @@ "\n", "Dans la plupart des cas, $O(mn)$ opérations est beaucoup trop long. On peut faire plus rapide en triant chacune des tables d'abord et en les fusionnant : $O(n \\ln n) + O(m \\ln m) + O(n+m)$. Si $m=n$, il est évident que cette façon de faire est plus rapide. C'est une des choses que fait [pandas (présentation)](http://fr.slideshare.net/wesm/a-look-at-pandas-design-and-development) (voir aussi [klib](https://github.com/attractivechaos/klib)). \n", "\n", - "On peut trier une table selon une clé ou encore utiliser une [table de hachage](http://fr.wikipedia.org/wiki/Table_de_hachage)), il est alors très rapide de retrouver la ligne ou les lignes qui partagent cette clé. On dit que la table est **indexée** selon cette clé. Indexer selon une ou plusieurs colonnes une table accélère toute opération s'appuyant sur ces colonnes comme la recherche d'un élément.\n", + "On peut trier une table selon une clé ou encore utiliser une [table de hachage](https://fr.wikipedia.org/wiki/Table_de_hachage)), il est alors très rapide de retrouver la ligne ou les lignes qui partagent cette clé. On dit que la table est **indexée** selon cette clé. Indexer selon une ou plusieurs colonnes une table accélère toute opération s'appuyant sur ces colonnes comme la recherche d'un élément.\n", "\n", - "On veut comparer le temps nécessaire pour une recherche. Pour cela on utilise la ``%magic`` function ``%timeit`` (ou ``%%timeit`` si on veut l'[appliquer à la cellule](http://nbviewer.jupyter.org/github/jupyter/jupyter/blob/1.x/examples/notebooks/Cell%20Magics.ipynb)) de Jupyter." + "On veut comparer le temps nécessaire pour une recherche. Pour cela on utilise la ``%magic`` function ``%timeit`` (ou ``%%timeit`` si on veut l'[appliquer à la cellule](https://ipython.readthedocs.io/en/stable/interactive/magics.html)) de Jupyter." ] }, { diff --git a/_doc/c_data/nb_pandas.ipynb b/_doc/c_data/nb_pandas.ipynb index 266a9bf4..db793c8d 100644 --- a/_doc/c_data/nb_pandas.ipynb +++ b/_doc/c_data/nb_pandas.ipynb @@ -11,7 +11,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 30, "metadata": {}, "outputs": [], "source": [ @@ -38,7 +38,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 31, "metadata": {}, "outputs": [ { @@ -87,7 +87,7 @@ "1 0.6 schtroumphette" ] }, - "execution_count": 2, + "execution_count": 31, "metadata": {}, "output_type": "execute_result" } @@ -108,14 +108,14 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Writing data.csv\n" + "Overwriting data.csv\n" ] } ], @@ -129,29 +129,7 @@ }, { "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "'/home/xadupre/github/teachpyx/_doc/c_data'" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "import os\n", - "\n", - "os.getcwd()" - ] - }, - { - "cell_type": "code", - "execution_count": 5, + "execution_count": 33, "metadata": {}, "outputs": [ { @@ -195,12 +173,12 @@ "" ], "text/plain": [ - " col1 col2\n", - "0 0.5 alpha\n", - "1 0.6 beta" + " col1 col2\n", + "0 0.5 alpha\n", + "1 0.6 beta" ] }, - "execution_count": 5, + "execution_count": 33, "metadata": {}, "output_type": "execute_result" } @@ -225,7 +203,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 34, "metadata": {}, "outputs": [ { @@ -269,12 +247,12 @@ "" ], "text/plain": [ - " col1 col2\n", - "0 0.5 alpha\n", - "1 0.6 beta" + " col1 col2\n", + "0 0.5 alpha\n", + "1 0.6 beta" ] }, - "execution_count": 9, + "execution_count": 34, "metadata": {}, "output_type": "execute_result" } @@ -285,7 +263,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 35, "metadata": {}, "outputs": [ { @@ -296,7 +274,7 @@ "Name: col1, dtype: float64" ] }, - "execution_count": 10, + "execution_count": 35, "metadata": {}, "output_type": "execute_result" } @@ -305,24 +283,87 @@ "df[\"col1\"]" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Les colonnes disponibles :" + ] + }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 36, "metadata": {}, "outputs": [ { - "ename": "KeyError", - "evalue": "\"['col2'] not in index\"", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mKeyError\u001b[0m Traceback (most recent call last)", - "Cell \u001b[0;32mIn[15], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m df[[\u001b[39m\"\u001b[39;49m\u001b[39mcol1\u001b[39;49m\u001b[39m\"\u001b[39;49m, \u001b[39m\"\u001b[39;49m\u001b[39mcol2\u001b[39;49m\u001b[39m\"\u001b[39;49m]]\n", - "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/pandas/core/frame.py:3767\u001b[0m, in \u001b[0;36mDataFrame.__getitem__\u001b[0;34m(self, key)\u001b[0m\n\u001b[1;32m 3765\u001b[0m \u001b[39mif\u001b[39;00m is_iterator(key):\n\u001b[1;32m 3766\u001b[0m key \u001b[39m=\u001b[39m \u001b[39mlist\u001b[39m(key)\n\u001b[0;32m-> 3767\u001b[0m indexer \u001b[39m=\u001b[39m \u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49mcolumns\u001b[39m.\u001b[39;49m_get_indexer_strict(key, \u001b[39m\"\u001b[39;49m\u001b[39mcolumns\u001b[39;49m\u001b[39m\"\u001b[39;49m)[\u001b[39m1\u001b[39m]\n\u001b[1;32m 3769\u001b[0m \u001b[39m# take() does not accept boolean indexers\u001b[39;00m\n\u001b[1;32m 3770\u001b[0m \u001b[39mif\u001b[39;00m \u001b[39mgetattr\u001b[39m(indexer, \u001b[39m\"\u001b[39m\u001b[39mdtype\u001b[39m\u001b[39m\"\u001b[39m, \u001b[39mNone\u001b[39;00m) \u001b[39m==\u001b[39m \u001b[39mbool\u001b[39m:\n", - "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/pandas/core/indexes/base.py:5877\u001b[0m, in \u001b[0;36mIndex._get_indexer_strict\u001b[0;34m(self, key, axis_name)\u001b[0m\n\u001b[1;32m 5874\u001b[0m \u001b[39melse\u001b[39;00m:\n\u001b[1;32m 5875\u001b[0m keyarr, indexer, new_indexer \u001b[39m=\u001b[39m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39m_reindex_non_unique(keyarr)\n\u001b[0;32m-> 5877\u001b[0m \u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49m_raise_if_missing(keyarr, indexer, axis_name)\n\u001b[1;32m 5879\u001b[0m keyarr \u001b[39m=\u001b[39m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39mtake(indexer)\n\u001b[1;32m 5880\u001b[0m \u001b[39mif\u001b[39;00m \u001b[39misinstance\u001b[39m(key, Index):\n\u001b[1;32m 5881\u001b[0m \u001b[39m# GH 42790 - Preserve name from an Index\u001b[39;00m\n", - "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/pandas/core/indexes/base.py:5941\u001b[0m, in \u001b[0;36mIndex._raise_if_missing\u001b[0;34m(self, key, indexer, axis_name)\u001b[0m\n\u001b[1;32m 5938\u001b[0m \u001b[39mraise\u001b[39;00m \u001b[39mKeyError\u001b[39;00m(\u001b[39mf\u001b[39m\u001b[39m\"\u001b[39m\u001b[39mNone of [\u001b[39m\u001b[39m{\u001b[39;00mkey\u001b[39m}\u001b[39;00m\u001b[39m] are in the [\u001b[39m\u001b[39m{\u001b[39;00maxis_name\u001b[39m}\u001b[39;00m\u001b[39m]\u001b[39m\u001b[39m\"\u001b[39m)\n\u001b[1;32m 5940\u001b[0m not_found \u001b[39m=\u001b[39m \u001b[39mlist\u001b[39m(ensure_index(key)[missing_mask\u001b[39m.\u001b[39mnonzero()[\u001b[39m0\u001b[39m]]\u001b[39m.\u001b[39munique())\n\u001b[0;32m-> 5941\u001b[0m \u001b[39mraise\u001b[39;00m \u001b[39mKeyError\u001b[39;00m(\u001b[39mf\u001b[39m\u001b[39m\"\u001b[39m\u001b[39m{\u001b[39;00mnot_found\u001b[39m}\u001b[39;00m\u001b[39m not in index\u001b[39m\u001b[39m\"\u001b[39m)\n", - "\u001b[0;31mKeyError\u001b[0m: \"['col2'] not in index\"" - ] + "data": { + "text/plain": [ + "Index(['col1', 'col2'], dtype='object')" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df.columns" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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regcl_age90jourhospreaHospConvSSR_USLDautresraddc
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" + ], + "text/plain": [ + " hosp rea HospConv SSR_USLD autres rad dc\n", + "jour \n", + "2023-03-27 26110 1452 14586.0 9311.0 761.0 1717663 271176\n", + "2023-03-28 26239 1435 14707.0 9336.0 761.0 1718630 271254\n", + "2023-03-29 26255 1465 14704.0 9323.0 763.0 1719634 271322\n", + "2023-03-30 26253 1460 14680.0 9344.0 769.0 1720370 271394\n", + "2023-03-31 26174 1413 14658.0 9354.0 749.0 1721380 271456" + ] + }, + "execution_count": 65, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "agg_par_jour = covid.drop([\"reg\", \"cl_age90\"], axis=1).groupby(\"jour\").sum()\n", "agg_par_jour.tail()" @@ -923,9 +2007,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 66, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "agg_par_jour.plot(title=\"Evolution des hospitalisations par jour\", figsize=(14, 4));" ] @@ -939,9 +2034,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 67, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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" + ], + "text/plain": [ + " hosp rea HospConv SSR_USLD autres rad dc\n", + "jour \n", + "2023-03-27 372 29 180.0 110.0 53.0 57846 1554\n", + "2023-03-28 377 29 184.0 111.0 53.0 57859 1554\n", + "2023-03-29 374 32 177.0 109.0 56.0 57877 1554\n", + "2023-03-30 375 34 175.0 111.0 55.0 57889 1554\n", + "2023-03-31 373 33 177.0 109.0 54.0 57900 1554" + ] + }, + "execution_count": 69, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "covid49 = covid[covid.cl_age90 == 49]\n", "agg_par_jour49 = covid49.drop([\"reg\", \"cl_age90\"], axis=1).groupby(\"jour\").sum()\n", @@ -1040,9 +2267,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 70, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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hospreaHospConvSSR_USLDautresraddc
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" + ], + "text/plain": [ + " hosp rea HospConv SSR_USLD autres rad \\\n", + "jour \n", + "2023-03-30 45.0 -2.000000 34.857143 4.142857 8.000000 701.571429 \n", + "2023-03-31 12.0 -12.142857 18.142857 3.142857 2.857143 719.571429 \n", + "\n", + " dc \n", + "jour \n", + "2023-03-30 52.857143 \n", + "2023-03-31 57.428571 " + ] + }, + "execution_count": 75, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "roll = diff.rolling(7).mean()\n", "roll.tail(n=2)" @@ -1114,9 +2657,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 76, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", 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hospreaHospConvSSR_USLDautresraddc
jour
2023-03-301.7142860.142857-1.0000000.7142861.85714311.2857140.285714
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" + ], + "text/plain": [ + " hosp rea HospConv SSR_USLD autres rad \\\n", + "jour \n", + "2023-03-30 1.714286 0.142857 -1.000000 0.714286 1.857143 11.285714 \n", + "2023-03-31 1.571429 0.285714 -0.285714 0.000000 1.571429 10.714286 \n", + "\n", + " dc \n", + "jour \n", + "2023-03-30 0.285714 \n", + "2023-03-31 0.285714 " + ] + }, + "execution_count": 77, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "data = agg_par_jour49.diff().rolling(7).mean()\n", "data.tail(n=2)" @@ -1142,11 +2778,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 78, "metadata": { "scrolled": false }, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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extract_datedepartementregionlibelle_reglibelle_deptx_incidRtaux_occupation_saetx_postx_incid_couleurR_couleurtaux_occupation_sae_couleurtx_pos_couleurnb_orangenb_rouge
903902020-08-228493Provence Alpes Côte d'AzurVaucluse44.21NaN6.33.721489orangeNaNvertvert10
903912020-08-238493Provence Alpes Côte d'AzurVaucluse44.21NaN6.73.719256orangeNaNvertvert10
903922020-08-288493Provence Alpes Côte d'AzurVaucluse60.611.379.34.524887rougeorangevertvert11
903932020-08-298493Provence Alpes Côte d'AzurVaucluse61.14NaN9.14.566028rougeNaNvertvert01
903942020-08-308493Provence Alpes Côte d'AzurVaucluse61.50NaN9.14.570747rougeNaNvertvert01
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code_inseenomnuts3wikipediasurf_km2DEPLONGDEPLAT
9756MorbihanFR524fr:Morbihan6870.0-2.81232047.846846
9825DoubsFR431fr:Doubs (département)5256.06.36272247.165964
9939JuraFR432fr:Jura (département)5049.05.69736146.729368
10007ArdècheFR712fr:Ardèche (département)5566.04.42558244.752771
10130GardFR812fr:Gard5875.04.17986143.993601
\n", + "
" + ], + "text/plain": [ + " code_insee nom nuts3 wikipedia surf_km2 DEPLONG \\\n", + "97 56 Morbihan FR524 fr:Morbihan 6870.0 -2.812320 \n", + "98 25 Doubs FR431 fr:Doubs (département) 5256.0 6.362722 \n", + "99 39 Jura FR432 fr:Jura (département) 5049.0 5.697361 \n", + "100 07 Ardèche FR712 fr:Ardèche (département) 5566.0 4.425582 \n", + "101 30 Gard FR812 fr:Gard 5875.0 4.179861 \n", + "\n", + " DEPLAT \n", + "97 47.846846 \n", + "98 47.165964 \n", + "99 46.729368 \n", + "100 44.752771 \n", + "101 43.993601 " + ] + }, + "execution_count": 82, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "dep_pos = read_csv(\n", " \"https://raw.githubusercontent.com/sdpython/ensae_teaching_cs/master/src/ensae_teaching_cs/data/data_shp/departement_french_2018.csv\"\n", @@ -1257,9 +3310,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 83, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "'2022-08-29'" + ] + }, + "execution_count": 83, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "last_extract_date = max(set(indic.extract_date))\n", "last_extract_date" @@ -1267,9 +3331,165 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 84, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/html": [ + "
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code_inseenomDEPLONGDEPLATtaux_occupation_saeR
001Ain5.34876446.09979910.9NaN
103Allier3.18764446.39363710.9NaN
207Ardèche4.42558244.75277110.9NaN
315Cantal2.66904545.05124710.9NaN
426Drôme5.16736444.68523910.9NaN
.....................
6723Creuse2.01823046.09062018.7NaN
6824Dordogne0.74120345.10494818.7NaN
6933Gironde-0.57587044.82361418.7NaN
7040Landes-0.78379343.96585518.7NaN
7147Lot-et-Garonne0.46074744.36796418.7NaN
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67 rows × 6 columns

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" + ], + "text/plain": [ + " code_insee nom DEPLONG DEPLAT taux_occupation_sae R\n", + "0 01 Ain 5.348764 46.099799 10.9 NaN\n", + "1 03 Allier 3.187644 46.393637 10.9 NaN\n", + "2 07 Ardèche 4.425582 44.752771 10.9 NaN\n", + "3 15 Cantal 2.669045 45.051247 10.9 NaN\n", + "4 26 Drôme 5.167364 44.685239 10.9 NaN\n", + ".. ... ... ... ... ... ..\n", + "67 23 Creuse 2.018230 46.090620 18.7 NaN\n", + "68 24 Dordogne 0.741203 45.104948 18.7 NaN\n", + "69 33 Gironde -0.575870 44.823614 18.7 NaN\n", + "70 40 Landes -0.783793 43.965855 18.7 NaN\n", + "71 47 Lot-et-Garonne 0.460747 44.367964 18.7 NaN\n", + "\n", + "[67 rows x 6 columns]" + ] + }, + "execution_count": 84, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "indic_last = indic[indic.extract_date == last_extract_date]\n", "merge = indic_last.merge(dep_pos, left_on=\"departement\", right_on=\"code_insee\")\n", @@ -1280,9 +3500,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 85, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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code_inseenomDEPLONGDEPLATtaux_occupation_saeR
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0 diff --git a/_doc/c_data/nb_dataframe.ipynb b/_doc/c_data/nb_dataframe.ipynb index 420d9e15..83f806c0 100644 --- a/_doc/c_data/nb_dataframe.ipynb +++ b/_doc/c_data/nb_dataframe.ipynb @@ -11,7 +11,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "metadata": { "collapsed": true }, @@ -49,7 +49,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": {}, "outputs": [ { @@ -59,7 +59,7 @@ "" ] }, - "execution_count": 3, + "execution_count": 2, "metadata": {}, "output_type": "execute_result" } @@ -88,7 +88,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": {}, "outputs": [ { @@ -102,7 +102,7 @@ "dtype: object" ] }, - "execution_count": 4, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" } @@ -125,7 +125,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -138,7 +138,7 @@ "dtype: int64" ] }, - "execution_count": 5, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" } @@ -162,7 +162,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -177,7 +177,7 @@ "dtype: bool" ] }, - "execution_count": 6, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } @@ -198,7 +198,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "metadata": {}, "outputs": [ { @@ -213,7 +213,7 @@ "dtype: float64" ] }, - "execution_count": 7, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } @@ -235,7 +235,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": {}, "outputs": [ { @@ -256,7 +256,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "metadata": {}, "outputs": [ { @@ -271,7 +271,7 @@ "dtype: float64" ] }, - "execution_count": 9, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" } @@ -291,7 +291,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 9, "metadata": {}, "outputs": [ { @@ -343,7 +343,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 10, "metadata": {}, "outputs": [ { @@ -395,7 +395,7 @@ "1 2014-06-23 221.0 euros" ] }, - "execution_count": 11, + "execution_count": 10, "metadata": {}, "output_type": "execute_result" } @@ -420,7 +420,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -472,7 +472,7 @@ "1 2014-06-23 NaN euros" ] }, - "execution_count": 12, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" } @@ -495,7 +495,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 12, "metadata": {}, "outputs": [ { @@ -506,7 +506,7 @@ "Name: prix, dtype: float64" ] }, - "execution_count": 13, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -524,7 +524,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 13, "metadata": {}, "outputs": [ { @@ -535,7 +535,7 @@ "Name: prix, dtype: float64" ] }, - "execution_count": 14, + "execution_count": 13, "metadata": {}, "output_type": "execute_result" } @@ -553,7 +553,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 14, "metadata": {}, "outputs": [ { @@ -602,7 +602,7 @@ "1 2014-06-23 NaN" ] }, - "execution_count": 15, + "execution_count": 14, "metadata": {}, "output_type": "execute_result" } @@ -620,7 +620,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 15, "metadata": {}, "outputs": [ { @@ -675,7 +675,7 @@ "devise euros euros" ] }, - "execution_count": 16, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" } @@ -696,7 +696,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 16, "metadata": {}, "outputs": [ { @@ -715,7 +715,7 @@ "['/bin/bash: line 1: exemple.xlsx: command not found']" ] }, - "execution_count": 18, + "execution_count": 16, "metadata": {}, "output_type": "execute_result" } @@ -753,88 +753,19 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 17, "metadata": {}, "outputs": [ { - "data": { - "text/html": [ - "
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"execution_count": 19, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -951,7 +882,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -1028,7 +959,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -1058,7 +989,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -1088,7 +1019,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -1115,7 +1046,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -1135,7 +1066,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -1162,7 +1093,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -1236,7 +1167,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -1265,7 +1196,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -1300,7 +1231,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -1386,7 +1317,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -1490,7 +1421,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -1571,7 +1502,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -1650,7 +1581,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -1728,7 +1659,7 @@ "source": [ "### Exercice 1 : créer un fichier Excel\n", " \n", - "On souhaite récupérer les données [donnees_enquete_2003_television.txt](http://www.xavierdupre.fr/enseignement/complements/donnees_enquete_2003_television.txt) (source : [INSEE](http://www.insee.fr/fr/themes/detail.asp?ref_id=fd-hdv03&page=fichiers_detail/HDV03/telechargement.htm)).\n", + "On souhaite récupérer les données [donnees_enquete_2003_television.txt](https://github.com/sdpython/teachpyx/raw/exos/_data/donnees_enquete_2003_television.txt).\n", "\n", "* ``POIDSLOG`` : Pondération individuelle relative\n", "* ``POIDSF`` : Variable de pondération individuelle\n", @@ -1748,15 +1679,15 @@ "\n", "Vous aurez peut-être besoin des fonctions suivantes :\n", "\n", - "* [numpy.isnan](http://docs.scipy.org/doc/numpy/reference/generated/numpy.isnan.html)\n", - "* [DataFrame.apply](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.apply.html)\n", - "* [DataFrame.fillna](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.fillna.html) ou [DataFrame.isnull](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.isnull.html) ou [DataFrame.notnull](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.notnull.html)\n", - "* [DataFrame.copy](http://pandas.pydata.org/pandas-docs/dev/generated/pandas.DataFrame.copy.html)" + "* [numpy.isnan](https://numpy.org/doc/stable/reference/generated/numpy.isnan.html)\n", + "* [DataFrame.apply](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.apply.html)\n", + "* [DataFrame.fillna](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.fillna.html) ou [DataFrame.isnull](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.isnull.html) ou [DataFrame.notnull](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.notnull.html)\n", + "* [DataFrame.copy](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.copy.html)" ] }, { "cell_type": "code", - "execution_count": 34, + "execution_count": null, "metadata": { "collapsed": true }, @@ -1787,7 +1718,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -1835,7 +1766,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -1910,7 +1841,7 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -1976,7 +1907,7 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -2047,7 +1978,7 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -2068,7 +1999,7 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -2100,7 +2031,7 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -2207,7 +2138,7 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -2228,7 +2159,7 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -2320,7 +2251,7 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -2383,7 +2314,7 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -2458,7 +2389,7 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -2536,7 +2467,7 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -2620,7 +2551,7 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": null, "metadata": { "collapsed": true }, @@ -2631,7 +2562,7 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -2669,7 +2600,7 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -2885,7 +2816,7 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -2915,7 +2846,7 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -3001,7 +2932,7 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -3134,7 +3065,7 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -3350,7 +3281,7 @@ }, { "cell_type": "code", - "execution_count": 55, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -3376,7 +3307,7 @@ }, { "cell_type": "code", - "execution_count": 56, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -3459,7 +3390,7 @@ }, { "cell_type": "code", - "execution_count": 57, + "execution_count": null, "metadata": { "collapsed": true }, @@ -3478,7 +3409,7 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -3513,12 +3444,12 @@ "source": [ "### Exercice 3 : moyennes par groupes\n", " \n", - "Toujours avec le même jeu de données ([marathon.txt](http://www.xavierdupre.fr/enseignement/complements/marathon.txt)), on veut ajouter une ligne à la fin du tableau croisé dynamique contenant la moyenne en secondes des temps des marathons pour chaque ville." + "Toujours avec le même jeu de données ([marathon.txt](https://github.com/sdpython/teachpyx/raw/exos/_data/marathon.txt)), on veut ajouter une ligne à la fin du tableau croisé dynamique contenant la moyenne en secondes des temps des marathons pour chaque ville." ] }, { "cell_type": "code", - "execution_count": 59, + "execution_count": null, "metadata": { "collapsed": true }, @@ -3542,7 +3473,7 @@ }, { "cell_type": "code", - "execution_count": 60, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -3572,7 +3503,7 @@ }, { "cell_type": "code", - "execution_count": 61, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -3596,7 +3527,7 @@ }, { "cell_type": "code", - "execution_count": 62, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -3615,7 +3546,7 @@ }, { "cell_type": "code", - "execution_count": 63, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -3716,7 +3647,7 @@ }, { "cell_type": "code", - "execution_count": 64, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -3834,7 +3765,7 @@ }, { "cell_type": "code", - "execution_count": 65, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -3891,7 +3822,7 @@ }, { "cell_type": "code", - "execution_count": 66, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -3926,21 +3857,14 @@ "except ImportError as e:\n", " use_dbfread = False\n", "\n", - "if use_dbfread:\n", - " print(\"use of dbfread\")\n", - "\n", - " def dBase2df(dbase_filename):\n", - " table = DBF(dbase_filename, load=True, encoding=\"cp437\")\n", - " return pandas.DataFrame(table.records)\n", + "print(\"use of dbfread\")\n", "\n", - " df = dBase2df(\"mar2012.dbf\")\n", - " # df.to_csv(\"mar2012.txt\", sep=\"\\t\", encoding=\"utf8\", index=False)\n", - "else:\n", - " print(\"use of zipped version\")\n", - " import pyensae.datasource\n", + "def dBase2df(dbase_filename):\n", + " table = DBF(dbase_filename, load=True, encoding=\"cp437\")\n", + " return pandas.DataFrame(table.records)\n", "\n", - " data = pyensae.datasource.download_data(\"mar2012.zip\")\n", - " df = pandas.read_csv(data[0], sep=\"\\t\", encoding=\"utf8\", low_memory=False)\n", + "df = df_civil = dBase2df(\"mar2012.dbf\")\n", + "# df.to_csv(\"mar2012.txt\", sep=\"\\t\", encoding=\"utf8\", index=False)\n", "\n", "df.shape, df.columns" ] @@ -3954,7 +3878,7 @@ }, { "cell_type": "code", - "execution_count": 67, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -4168,7 +4092,7 @@ }, { "cell_type": "code", - "execution_count": 68, + "execution_count": null, "metadata": {}, "outputs": [], "source": [ @@ -4186,7 +4110,7 @@ }, { "cell_type": "code", - "execution_count": 69, + "execution_count": null, "metadata": { "collapsed": true }, @@ -4207,7 +4131,7 @@ }, { "cell_type": "code", - "execution_count": 70, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -4249,7 +4173,7 @@ }, { "cell_type": "code", - "execution_count": 71, + "execution_count": null, "metadata": { "collapsed": true }, @@ -4271,7 +4195,7 @@ }, { "cell_type": "code", - "execution_count": 72, + "execution_count": null, "metadata": { "collapsed": true }, @@ -4292,7 +4216,7 @@ }, { "cell_type": "code", - "execution_count": 73, + "execution_count": null, "metadata": { "collapsed": true }, @@ -4303,7 +4227,7 @@ }, { "cell_type": "code", - "execution_count": 74, + "execution_count": null, "metadata": { "collapsed": true }, @@ -4317,26 +4241,476 @@ "writer.save()" ] }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true + }, + "source": [ + "## Eléments de réponses pour les exercices" + ] + }, { "cell_type": "markdown", "metadata": {}, "source": [ - "**FIN**" + "### Exercice 1 : créer un fichier Excel\n", + "\n", + "Il faut simplement utiliser la méthode [to_excel](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.to_excel.html)." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "df.to_excel(\"table_excel.xlsx\")" ] }, { "cell_type": "markdown", - "metadata": { - "collapsed": true - }, + "metadata": {}, "source": [ - "## Eléments de réponses pour les exercices" + "On souhaite récupérer les données [donnees_enquete_2003_television.txt](http://www.xavierdupre.fr/enseignement/complements/donnees_enquete_2003_television.txt) (source : [INSEE](http://www.insee.fr/fr/themes/detail.asp?ref_id=fd-hdv03&page=fichiers_detail/HDV03/telechargement.htm)).\n", + "\n", + "On souhaite récupérer les données [donnees_enquete_2003_television.txt](https://github.com/sdpython/teachpyx/raw/exos/_data/donnees_enquete_2003_television.txt).\n", + "\n", + "* ``POIDSLOG`` : Pondération individuelle relative\n", + "* ``POIDSF`` : Variable de pondération individuelle\n", + "* ``cLT1FREQ`` : Nombre d'heures en moyenne passées à regarder la télévision \n", + "* ``cLT2FREQ`` : Unité de temps utilisée pour compter le nombre d'heures passées à regarder la télévision, cette unité est représentée par les quatre valeurs suivantes\n", + " * 0 : non concerné\n", + " * 1 : jour\n", + " * 2 : semaine\n", + " * 3 : mois \n", + " \n", + "Ensuite, on veut :\n", + "\n", + "1. Supprimer les colonnes vides\n", + "2. Obtenir les valeurs distinctes pour la colonne ``cLT2FREQ``\n", + "3. Modifier la matrice pour enlever les lignes pour lesquelles l'unité de temps (cLT2FREQ) n'est pas renseignée ou égale à zéro.\n", + "4. Sauver le résultat au format Excel.\n", + "\n", + "Vous aurez peut-être besoin des fonctions suivantes :\n", + "\n", + "* [numpy.isnan](https://numpy.org/doc/stable/reference/generated/numpy.isnan.html)\n", + "* [DataFrame.apply](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.apply.html)\n", + "* [DataFrame.fillna](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.fillna.html) ou [DataFrame.isnull](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.isnull.html) ou [DataFrame.notnull](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.notnull.html)\n", + "* [DataFrame.copy](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.copy.html)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "ename": "HTTPError", + "evalue": "HTTP Error 404: Not Found", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mHTTPError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn[21], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m df \u001b[39m=\u001b[39m pandas\u001b[39m.\u001b[39;49mread_csv(\u001b[39m\"\u001b[39;49m\u001b[39mhttps://github.com/sdpython/teachpyx/raw/exos/_data/donnees_enquete_2003_television.txt\u001b[39;49m\u001b[39m\"\u001b[39;49m)\n\u001b[1;32m 2\u001b[0m df\u001b[39m.\u001b[39mhead()\n", + "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/pandas/io/parsers/readers.py:912\u001b[0m, in \u001b[0;36mread_csv\u001b[0;34m(filepath_or_buffer, sep, delimiter, header, names, index_col, usecols, dtype, engine, converters, true_values, false_values, skipinitialspace, skiprows, skipfooter, nrows, na_values, keep_default_na, na_filter, verbose, skip_blank_lines, parse_dates, infer_datetime_format, keep_date_col, date_parser, date_format, dayfirst, cache_dates, iterator, chunksize, compression, thousands, decimal, lineterminator, quotechar, quoting, doublequote, escapechar, comment, encoding, encoding_errors, dialect, on_bad_lines, delim_whitespace, low_memory, memory_map, float_precision, storage_options, dtype_backend)\u001b[0m\n\u001b[1;32m 899\u001b[0m kwds_defaults \u001b[39m=\u001b[39m _refine_defaults_read(\n\u001b[1;32m 900\u001b[0m dialect,\n\u001b[1;32m 901\u001b[0m delimiter,\n\u001b[0;32m (...)\u001b[0m\n\u001b[1;32m 908\u001b[0m dtype_backend\u001b[39m=\u001b[39mdtype_backend,\n\u001b[1;32m 909\u001b[0m )\n\u001b[1;32m 910\u001b[0m kwds\u001b[39m.\u001b[39mupdate(kwds_defaults)\n\u001b[0;32m--> 912\u001b[0m \u001b[39mreturn\u001b[39;00m _read(filepath_or_buffer, kwds)\n", + "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/pandas/io/parsers/readers.py:577\u001b[0m, in \u001b[0;36m_read\u001b[0;34m(filepath_or_buffer, kwds)\u001b[0m\n\u001b[1;32m 574\u001b[0m _validate_names(kwds\u001b[39m.\u001b[39mget(\u001b[39m\"\u001b[39m\u001b[39mnames\u001b[39m\u001b[39m\"\u001b[39m, \u001b[39mNone\u001b[39;00m))\n\u001b[1;32m 576\u001b[0m \u001b[39m# Create the parser.\u001b[39;00m\n\u001b[0;32m--> 577\u001b[0m parser \u001b[39m=\u001b[39m TextFileReader(filepath_or_buffer, \u001b[39m*\u001b[39;49m\u001b[39m*\u001b[39;49mkwds)\n\u001b[1;32m 579\u001b[0m \u001b[39mif\u001b[39;00m chunksize \u001b[39mor\u001b[39;00m iterator:\n\u001b[1;32m 580\u001b[0m \u001b[39mreturn\u001b[39;00m parser\n", + "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/pandas/io/parsers/readers.py:1407\u001b[0m, in \u001b[0;36mTextFileReader.__init__\u001b[0;34m(self, f, engine, **kwds)\u001b[0m\n\u001b[1;32m 1404\u001b[0m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39moptions[\u001b[39m\"\u001b[39m\u001b[39mhas_index_names\u001b[39m\u001b[39m\"\u001b[39m] \u001b[39m=\u001b[39m kwds[\u001b[39m\"\u001b[39m\u001b[39mhas_index_names\u001b[39m\u001b[39m\"\u001b[39m]\n\u001b[1;32m 1406\u001b[0m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39mhandles: IOHandles \u001b[39m|\u001b[39m \u001b[39mNone\u001b[39;00m \u001b[39m=\u001b[39m \u001b[39mNone\u001b[39;00m\n\u001b[0;32m-> 1407\u001b[0m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39m_engine \u001b[39m=\u001b[39m \u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49m_make_engine(f, \u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49mengine)\n", + "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/pandas/io/parsers/readers.py:1661\u001b[0m, in \u001b[0;36mTextFileReader._make_engine\u001b[0;34m(self, f, engine)\u001b[0m\n\u001b[1;32m 1659\u001b[0m \u001b[39mif\u001b[39;00m \u001b[39m\"\u001b[39m\u001b[39mb\u001b[39m\u001b[39m\"\u001b[39m \u001b[39mnot\u001b[39;00m \u001b[39min\u001b[39;00m mode:\n\u001b[1;32m 1660\u001b[0m mode \u001b[39m+\u001b[39m\u001b[39m=\u001b[39m \u001b[39m\"\u001b[39m\u001b[39mb\u001b[39m\u001b[39m\"\u001b[39m\n\u001b[0;32m-> 1661\u001b[0m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39mhandles \u001b[39m=\u001b[39m get_handle(\n\u001b[1;32m 1662\u001b[0m f,\n\u001b[1;32m 1663\u001b[0m mode,\n\u001b[1;32m 1664\u001b[0m encoding\u001b[39m=\u001b[39;49m\u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49moptions\u001b[39m.\u001b[39;49mget(\u001b[39m\"\u001b[39;49m\u001b[39mencoding\u001b[39;49m\u001b[39m\"\u001b[39;49m, \u001b[39mNone\u001b[39;49;00m),\n\u001b[1;32m 1665\u001b[0m compression\u001b[39m=\u001b[39;49m\u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49moptions\u001b[39m.\u001b[39;49mget(\u001b[39m\"\u001b[39;49m\u001b[39mcompression\u001b[39;49m\u001b[39m\"\u001b[39;49m, \u001b[39mNone\u001b[39;49;00m),\n\u001b[1;32m 1666\u001b[0m memory_map\u001b[39m=\u001b[39;49m\u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49moptions\u001b[39m.\u001b[39;49mget(\u001b[39m\"\u001b[39;49m\u001b[39mmemory_map\u001b[39;49m\u001b[39m\"\u001b[39;49m, \u001b[39mFalse\u001b[39;49;00m),\n\u001b[1;32m 1667\u001b[0m is_text\u001b[39m=\u001b[39;49mis_text,\n\u001b[1;32m 1668\u001b[0m errors\u001b[39m=\u001b[39;49m\u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49moptions\u001b[39m.\u001b[39;49mget(\u001b[39m\"\u001b[39;49m\u001b[39mencoding_errors\u001b[39;49m\u001b[39m\"\u001b[39;49m, \u001b[39m\"\u001b[39;49m\u001b[39mstrict\u001b[39;49m\u001b[39m\"\u001b[39;49m),\n\u001b[1;32m 1669\u001b[0m storage_options\u001b[39m=\u001b[39;49m\u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49moptions\u001b[39m.\u001b[39;49mget(\u001b[39m\"\u001b[39;49m\u001b[39mstorage_options\u001b[39;49m\u001b[39m\"\u001b[39;49m, \u001b[39mNone\u001b[39;49;00m),\n\u001b[1;32m 1670\u001b[0m )\n\u001b[1;32m 1671\u001b[0m \u001b[39massert\u001b[39;00m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39mhandles \u001b[39mis\u001b[39;00m \u001b[39mnot\u001b[39;00m \u001b[39mNone\u001b[39;00m\n\u001b[1;32m 1672\u001b[0m f \u001b[39m=\u001b[39m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39mhandles\u001b[39m.\u001b[39mhandle\n", + "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/pandas/io/common.py:716\u001b[0m, in \u001b[0;36mget_handle\u001b[0;34m(path_or_buf, mode, encoding, compression, memory_map, is_text, errors, storage_options)\u001b[0m\n\u001b[1;32m 713\u001b[0m codecs\u001b[39m.\u001b[39mlookup_error(errors)\n\u001b[1;32m 715\u001b[0m \u001b[39m# open URLs\u001b[39;00m\n\u001b[0;32m--> 716\u001b[0m ioargs \u001b[39m=\u001b[39m _get_filepath_or_buffer(\n\u001b[1;32m 717\u001b[0m path_or_buf,\n\u001b[1;32m 718\u001b[0m encoding\u001b[39m=\u001b[39;49mencoding,\n\u001b[1;32m 719\u001b[0m compression\u001b[39m=\u001b[39;49mcompression,\n\u001b[1;32m 720\u001b[0m mode\u001b[39m=\u001b[39;49mmode,\n\u001b[1;32m 721\u001b[0m storage_options\u001b[39m=\u001b[39;49mstorage_options,\n\u001b[1;32m 722\u001b[0m )\n\u001b[1;32m 724\u001b[0m handle \u001b[39m=\u001b[39m ioargs\u001b[39m.\u001b[39mfilepath_or_buffer\n\u001b[1;32m 725\u001b[0m handles: \u001b[39mlist\u001b[39m[BaseBuffer]\n", + "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/pandas/io/common.py:368\u001b[0m, in \u001b[0;36m_get_filepath_or_buffer\u001b[0;34m(filepath_or_buffer, encoding, compression, mode, storage_options)\u001b[0m\n\u001b[1;32m 366\u001b[0m \u001b[39m# assuming storage_options is to be interpreted as headers\u001b[39;00m\n\u001b[1;32m 367\u001b[0m req_info \u001b[39m=\u001b[39m urllib\u001b[39m.\u001b[39mrequest\u001b[39m.\u001b[39mRequest(filepath_or_buffer, headers\u001b[39m=\u001b[39mstorage_options)\n\u001b[0;32m--> 368\u001b[0m \u001b[39mwith\u001b[39;00m urlopen(req_info) \u001b[39mas\u001b[39;00m req:\n\u001b[1;32m 369\u001b[0m content_encoding \u001b[39m=\u001b[39m req\u001b[39m.\u001b[39mheaders\u001b[39m.\u001b[39mget(\u001b[39m\"\u001b[39m\u001b[39mContent-Encoding\u001b[39m\u001b[39m\"\u001b[39m, \u001b[39mNone\u001b[39;00m)\n\u001b[1;32m 370\u001b[0m \u001b[39mif\u001b[39;00m content_encoding \u001b[39m==\u001b[39m \u001b[39m\"\u001b[39m\u001b[39mgzip\u001b[39m\u001b[39m\"\u001b[39m:\n\u001b[1;32m 371\u001b[0m \u001b[39m# Override compression based on Content-Encoding header\u001b[39;00m\n", + "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/pandas/io/common.py:270\u001b[0m, in \u001b[0;36murlopen\u001b[0;34m(*args, **kwargs)\u001b[0m\n\u001b[1;32m 264\u001b[0m \u001b[39m\u001b[39m\u001b[39m\"\"\"\u001b[39;00m\n\u001b[1;32m 265\u001b[0m \u001b[39mLazy-import wrapper for stdlib urlopen, as that imports a big chunk of\u001b[39;00m\n\u001b[1;32m 266\u001b[0m \u001b[39mthe stdlib.\u001b[39;00m\n\u001b[1;32m 267\u001b[0m \u001b[39m\"\"\"\u001b[39;00m\n\u001b[1;32m 268\u001b[0m \u001b[39mimport\u001b[39;00m \u001b[39murllib\u001b[39;00m\u001b[39m.\u001b[39;00m\u001b[39mrequest\u001b[39;00m\n\u001b[0;32m--> 270\u001b[0m \u001b[39mreturn\u001b[39;00m urllib\u001b[39m.\u001b[39;49mrequest\u001b[39m.\u001b[39;49murlopen(\u001b[39m*\u001b[39;49margs, \u001b[39m*\u001b[39;49m\u001b[39m*\u001b[39;49mkwargs)\n", + "File \u001b[0;32m/usr/lib/python3.10/urllib/request.py:216\u001b[0m, in \u001b[0;36murlopen\u001b[0;34m(url, data, timeout, cafile, capath, cadefault, context)\u001b[0m\n\u001b[1;32m 214\u001b[0m \u001b[39melse\u001b[39;00m:\n\u001b[1;32m 215\u001b[0m opener \u001b[39m=\u001b[39m _opener\n\u001b[0;32m--> 216\u001b[0m \u001b[39mreturn\u001b[39;00m opener\u001b[39m.\u001b[39;49mopen(url, data, timeout)\n", + "File \u001b[0;32m/usr/lib/python3.10/urllib/request.py:525\u001b[0m, in \u001b[0;36mOpenerDirector.open\u001b[0;34m(self, fullurl, data, timeout)\u001b[0m\n\u001b[1;32m 523\u001b[0m \u001b[39mfor\u001b[39;00m processor \u001b[39min\u001b[39;00m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39mprocess_response\u001b[39m.\u001b[39mget(protocol, []):\n\u001b[1;32m 524\u001b[0m meth \u001b[39m=\u001b[39m \u001b[39mgetattr\u001b[39m(processor, meth_name)\n\u001b[0;32m--> 525\u001b[0m response \u001b[39m=\u001b[39m meth(req, response)\n\u001b[1;32m 527\u001b[0m \u001b[39mreturn\u001b[39;00m response\n", + "File \u001b[0;32m/usr/lib/python3.10/urllib/request.py:634\u001b[0m, in \u001b[0;36mHTTPErrorProcessor.http_response\u001b[0;34m(self, request, response)\u001b[0m\n\u001b[1;32m 631\u001b[0m \u001b[39m# According to RFC 2616, \"2xx\" code indicates that the client's\u001b[39;00m\n\u001b[1;32m 632\u001b[0m \u001b[39m# request was successfully received, understood, and accepted.\u001b[39;00m\n\u001b[1;32m 633\u001b[0m \u001b[39mif\u001b[39;00m \u001b[39mnot\u001b[39;00m (\u001b[39m200\u001b[39m \u001b[39m<\u001b[39m\u001b[39m=\u001b[39m code \u001b[39m<\u001b[39m \u001b[39m300\u001b[39m):\n\u001b[0;32m--> 634\u001b[0m response \u001b[39m=\u001b[39m \u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49mparent\u001b[39m.\u001b[39;49merror(\n\u001b[1;32m 635\u001b[0m \u001b[39m'\u001b[39;49m\u001b[39mhttp\u001b[39;49m\u001b[39m'\u001b[39;49m, request, response, code, msg, hdrs)\n\u001b[1;32m 637\u001b[0m \u001b[39mreturn\u001b[39;00m response\n", + "File \u001b[0;32m/usr/lib/python3.10/urllib/request.py:563\u001b[0m, in \u001b[0;36mOpenerDirector.error\u001b[0;34m(self, proto, *args)\u001b[0m\n\u001b[1;32m 561\u001b[0m \u001b[39mif\u001b[39;00m http_err:\n\u001b[1;32m 562\u001b[0m args \u001b[39m=\u001b[39m (\u001b[39mdict\u001b[39m, \u001b[39m'\u001b[39m\u001b[39mdefault\u001b[39m\u001b[39m'\u001b[39m, \u001b[39m'\u001b[39m\u001b[39mhttp_error_default\u001b[39m\u001b[39m'\u001b[39m) \u001b[39m+\u001b[39m orig_args\n\u001b[0;32m--> 563\u001b[0m \u001b[39mreturn\u001b[39;00m \u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49m_call_chain(\u001b[39m*\u001b[39;49margs)\n", + "File \u001b[0;32m/usr/lib/python3.10/urllib/request.py:496\u001b[0m, in \u001b[0;36mOpenerDirector._call_chain\u001b[0;34m(self, chain, kind, meth_name, *args)\u001b[0m\n\u001b[1;32m 494\u001b[0m \u001b[39mfor\u001b[39;00m handler \u001b[39min\u001b[39;00m handlers:\n\u001b[1;32m 495\u001b[0m func \u001b[39m=\u001b[39m \u001b[39mgetattr\u001b[39m(handler, meth_name)\n\u001b[0;32m--> 496\u001b[0m result \u001b[39m=\u001b[39m func(\u001b[39m*\u001b[39;49margs)\n\u001b[1;32m 497\u001b[0m \u001b[39mif\u001b[39;00m result \u001b[39mis\u001b[39;00m \u001b[39mnot\u001b[39;00m \u001b[39mNone\u001b[39;00m:\n\u001b[1;32m 498\u001b[0m \u001b[39mreturn\u001b[39;00m result\n", + "File \u001b[0;32m/usr/lib/python3.10/urllib/request.py:643\u001b[0m, in \u001b[0;36mHTTPDefaultErrorHandler.http_error_default\u001b[0;34m(self, req, fp, code, msg, hdrs)\u001b[0m\n\u001b[1;32m 642\u001b[0m \u001b[39mdef\u001b[39;00m \u001b[39mhttp_error_default\u001b[39m(\u001b[39mself\u001b[39m, req, fp, code, msg, hdrs):\n\u001b[0;32m--> 643\u001b[0m \u001b[39mraise\u001b[39;00m HTTPError(req\u001b[39m.\u001b[39mfull_url, code, msg, hdrs, fp)\n", + "\u001b[0;31mHTTPError\u001b[0m: HTTP Error 404: Not Found" + ] + } + ], + "source": [ + "df = pandas.read_csv(\"https://github.com/sdpython/teachpyx/raw/exos/_data/donnees_enquete_2003_television.txt\")\n", + "df.head()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "On enlève les colonnes vides :" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "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", + "
dateprixdevise
02014-06-22220.0euros
12014-06-23221.0euros
\n", + "
" + ], + "text/plain": [ + " date prix devise\n", + "0 2014-06-22 220.0 euros\n", + "1 2014-06-23 221.0 euros" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df = df[[c for c in df.columns if \"Unnamed\" not in c]]\n", + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "notnull = df[~df.cLT2FREQ.isnull()] # équivalent ) df [ df.cLT2FREQ.notnull() ]\n", + "print(len(df), len(notnull))\n", + "notnull.tail()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "notnull.to_excel(\"data.xlsx\") # question 4" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Questions**\n", + "\n", + "* Que changerait l'ajout du paramètre ``how='outer'`` dans ce cas ?\n", + "* On cherche à joindre deux tables A,B qui ont chacune trois clés distinctes : $c_1, c_2, c_3$. Il y a respectivement dans chaque table $A_i$ et $B_i$ lignes pour la clé $c_i$. Combien la table finale issue de la fusion des deux tables contiendra-t-elle de lignes ?" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "L'ajout du paramètres ``how='outer'`` ne changerait rien dans ce cas car les deux tables fusionnées contiennent exactement les mêmes clés.\n", + "\n", + "Le nombre de lignes obtenus serait $\\sum_{i=1}^{3} A_i B_i$. Il y a trois clés, chaque ligne de la table A doit être associée à toutes les lignes de la table B partageant la même clé." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice 2 : lambda function\n", + "\n", + "Ecrire une *lambda function* qui prend deux paramètres et qui est équivalente à la fonction suivante" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "def delta(x, y):\n", + " return max(x, y) - min(x, y)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "delta = lambda x, y: max(x, y) - min(x, y)" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "delta(4, 5)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "import random\n", + "\n", + "df[\"select\"] = df.apply(lambda row: random.randint(1, 10), axis=1)\n", + "echantillon = df[df[\"select\"] == 1]\n", + "echantillon.shape, df.shape" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice 3 : moyennes par groupes\n", + "\n", + "Toujours avec le même jeu de données, on veut ajouter une ligne à la fin du tableau croisé dynamique contenant la moyenne en secondes des temps des marathons pour chaque ville.\n", + "\n", + "La solution requiert trois étapes.\n", + "\n", + "1. Pour avoir la moyenne par villes, il faut grouper les lignes associées à la même villes.\n", + "2. Ensuite, il faut introduire ces moyennes dans la table initiale : on fusionne.\n", + "3. On effectue le même pivot que dans l'énoncé." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# étape 1\n", + "# par défaut, la méthode groupby utilise la clé de group comme index\n", + "# pour ne pas le faire, il faut préciser as_index = False\n", + "gr = df[[\"ville\", \"secondes\"]].groupby(\"ville\", as_index=False).mean()\n", + "gr.head()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# étape 2 - on ajoute une colonne\n", + "tout = df.merge(gr, on=\"ville\")\n", + "tout.head()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# étape 3\n", + "piv = tout.pivot(\"annee\", \"ville\", \"secondes_x\")\n", + "piv.tail()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "A partir de là, on ne voit pas trop comment s'en sortir. Voici ce que je propose :\n", + "\n", + "1. On effectue un pivot sur la petite matrice des moyennes.\n", + "2. On ajoute ce second pivot avec le premier (celui de l'énoncé)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "gr[\"annee\"] = \"moyenne\"\n", + "pivmean = gr.pivot(\"annee\", \"ville\", \"secondes\")\n", + "pivmean" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "piv = df.pivot(\"annee\", \"ville\", \"secondes\")\n", + "pandas.concat([piv, pivmean]).tail()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "En résumé, cela donne (j'ajoute aussi le nombre de marathons courus) :" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "piv = df.pivot(\"annee\", \"ville\", \"secondes\")\n", + "gr = df[[\"ville\", \"secondes\"]].groupby(\"ville\", as_index=False).mean()\n", + "gr[\"annee\"] = \"moyenne\"\n", + "pivmean = gr.pivot(\"annee\", \"ville\", \"secondes\")\n", + "\n", + "pandas.concat([piv, pivmean]).tail()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice 4 : écart entre les mariés\n", + "\n", + "1. En ajoutant une colonne et en utilisant l'opération [group by](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.groupby.html), on veut obtenir la distribution du nombre de mariages en fonction de l'écart entre les mariés. Au besoin, on changera le type d'une colone ou deux.\n", + "2. On veut tracer un nuage de points avec en abscisse l'âge du mari, en ordonnée, l'âge de la femme. Il faudra peut-être jeter un coup d'oeil sur la documentation de la méthode [plot](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.plot.html#pandas.DataFrame.plot)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "df = df_civil # on récupère le dataframe déjà construit\n", + "print(df.shape, df.columns)\n", + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "df[\"ageH\"] = df.apply(lambda r: 2014 - int(r[\"ANAISH\"]), axis=1)\n", + "df[\"ageF\"] = df.apply(lambda r: 2014 - int(r[\"ANAISF\"]), axis=1)\n", + "df.head()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "df.plot(x=\"ageH\", y=\"ageF\", kind=\"scatter\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "df.plot(x=\"ageH\", y=\"ageF\", kind=\"hexbin\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice 5 : graphe de la distribution avec pandas\n", + "\n", + "Le module ``pandas`` propose un panel de graphiques standard faciles à obtenir. On souhaite représenter la distribution sous forme d'histogramme. A vous de choisir le meilleure graphique depuis la page [Visualization](https://pandas.pydata.org/pandas-docs/stable/user_guide/visualization.html)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "df[\"ANAISH\"] = df.apply(lambda r: int(r[\"ANAISH\"]), axis=1)\n", + "df[\"ANAISF\"] = df.apply(lambda r: int(r[\"ANAISF\"]), axis=1)\n", + "df[\"differenceHF\"] = df.ANAISH - df.ANAISF\n", + "df[\"nb\"] = 1\n", + "dist = df[[\"nb\", \"differenceHF\"]].groupby(\"differenceHF\", as_index=False).count()\n", + "df[\"differenceHF\"].hist(figsize=(16, 6), bins=50)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Exercice 6 : distribution des mariages par jour\n", + "\n", + "On veut obtenir un graphe qui contient l'histogramme de la distribution du nombre de mariages par jour de la semaine et d'ajouter une seconde courbe correspond avec un second axe à la répartition cumulée." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "df[\"nb\"] = 1\n", + "dissem = df[[\"JSEMAINE\", \"nb\"]].groupby(\"JSEMAINE\", as_index=False).sum()\n", + "total = dissem[\"nb\"].sum()\n", + "repsem = dissem.cumsum()\n", + "repsem[\"nb\"] /= total\n", + "\n", + "ax = dissem[\"nb\"].plot(kind=\"bar\")\n", + "repsem[\"nb\"].plot(ax=ax, secondary_y=True)\n", + "ax.set_title(\"distribution des mariages par jour de la semaine\")" + ] } ], "metadata": { diff --git a/_doc/c_data/nb_dataframe__.ipynb b/_doc/c_data/nb_dataframe__.ipynb deleted file mode 100644 index ff923794..00000000 --- a/_doc/c_data/nb_dataframe__.ipynb +++ /dev/null @@ -1,2247 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# 2A.data - DataFrame et Graphes - correction\n", - "\n", - "Opérations standards sur les dataframes ([pandas](http://pandas.pydata.org/)) et les matrices ([numpy](http://www.numpy.org/)). Graphiques avec [matplotlib](https://matplotlib.org/))." - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "%matplotlib inline\n", - "import matplotlib.pyplot as plt" - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
run previous cell, wait for 2 seconds
\n", - "" - ], - "text/plain": [ - "" - ] - }, - "execution_count": 3, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "from jyquickhelper import add_notebook_menu\n", - "\n", - "add_notebook_menu()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "

Exercice 1 : créer un fichier Excel

\n", - " \n", - "On souhaite récupérer les données [donnees_enquete_2003_television.txt](http://www.xavierdupre.fr/enseignement/complements/donnees_enquete_2003_television.txt) (source : [INSEE](http://www.insee.fr/fr/themes/detail.asp?ref_id=fd-hdv03&page=fichiers_detail/HDV03/telechargement.htm)).\n", - "\n", - "* ``POIDSLOG`` : Pondération individuelle relative\n", - "* ``POIDSF`` : Variable de pondération individuelle\n", - "* ``cLT1FREQ`` : Nombre d'heures en moyenne passées à regarder la télévision \n", - "* ``cLT2FREQ`` : Unité de temps utilisée pour compter le nombre d'heures passées à regarder la télévision, cette unité est représentée par les quatre valeurs suivantes\n", - " * 0 : non concerné\n", - " * 1 : jour\n", - " * 2 : semaine\n", - " * 3 : mois \n", - " \n", - "Ensuite, on veut :\n", - "\n", - "1. Supprimer les colonnes vides\n", - "2. Obtenir les valeurs distinctes pour la colonne ``cLT2FREQ``\n", - "3. Modifier la matrice pour enlever les lignes pour lesquelles l'unité de temps (cLT2FREQ) n'est pas renseignée ou égale à zéro.\n", - "4. Sauver le résultat au format Excel.\n", - "\n", - "Vous aurez peut-être besoin des fonctions suivantes :\n", - "\n", - "* [numpy.isnan](http://docs.scipy.org/doc/numpy/reference/generated/numpy.isnan.html)\n", - "* [DataFrame.apply](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.apply.html)\n", - "* [DataFrame.fillna](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.fillna.html) ou \n", - "[DataFrame.isnull](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.isnull.html)\n", - "* [DataFrame.copy](http://pandas.pydata.org/pandas-docs/dev/generated/pandas.DataFrame.copy.html)" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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POIDLOGPOIDSFcLT1FREQcLT2FREQUnnamed: 4Unnamed: 5Unnamed: 6Unnamed: 7Unnamed: 8Unnamed: 9...Unnamed: 22Unnamed: 23Unnamed: 24Unnamed: 25Unnamed: 26Unnamed: 27Unnamed: 28Unnamed: 29Unnamed: 30Unnamed: 31
00.8894224766.86520121.0NaNNaNNaNNaNNaNNaN...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
12.31020912381.589746301.0NaNNaNNaNNaNNaNNaN...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
22.74007014685.43134462.0NaNNaNNaNNaNNaNNaN...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
31.7755459516.04993911.0NaNNaNNaNNaNNaNNaN...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
40.7325123925.90758831.0NaNNaNNaNNaNNaNNaN...NaNNaNNaNNaNNaNNaNNaNNaNNaNNaN
\n", - "

5 rows × 32 columns

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" - ], - "text/plain": [ - " POIDLOG POIDSF cLT1FREQ cLT2FREQ Unnamed: 4 Unnamed: 5 \\\n", - "0 0.889422 4766.865201 2 1.0 NaN NaN \n", - "1 2.310209 12381.589746 30 1.0 NaN NaN \n", - "2 2.740070 14685.431344 6 2.0 NaN NaN \n", - "3 1.775545 9516.049939 1 1.0 NaN NaN \n", - "4 0.732512 3925.907588 3 1.0 NaN NaN \n", - "\n", - " Unnamed: 6 Unnamed: 7 Unnamed: 8 Unnamed: 9 ... Unnamed: 22 \\\n", - "0 NaN NaN NaN NaN ... NaN \n", - "1 NaN NaN NaN NaN ... NaN \n", - "2 NaN NaN NaN NaN ... NaN \n", - "3 NaN NaN NaN NaN ... NaN \n", - "4 NaN NaN NaN NaN ... NaN \n", - "\n", - " Unnamed: 23 Unnamed: 24 Unnamed: 25 Unnamed: 26 Unnamed: 27 \\\n", - "0 NaN NaN NaN NaN NaN \n", - "1 NaN NaN NaN NaN NaN \n", - "2 NaN NaN NaN NaN NaN \n", - "3 NaN NaN NaN NaN NaN \n", - "4 NaN NaN NaN NaN NaN \n", - "\n", - " Unnamed: 28 Unnamed: 29 Unnamed: 30 Unnamed: 31 \n", - "0 NaN NaN NaN NaN \n", - "1 NaN NaN NaN NaN \n", - "2 NaN NaN NaN NaN \n", - "3 NaN NaN NaN NaN \n", - "4 NaN NaN NaN NaN \n", - "\n", - "[5 rows x 32 columns]" - ] - }, - "execution_count": 4, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "import pandas\n", - "from ensae_teaching_cs.data import donnees_enquete_2003_television\n", - "\n", - "df = pandas.read_csv(donnees_enquete_2003_television(), sep=\"\\t\", engine=\"python\")\n", - "df.head()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "On enlève les colonnes vides :" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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POIDLOGPOIDSFcLT1FREQcLT2FREQ
00.8894224766.86520121.0
12.31020912381.589746301.0
22.74007014685.43134462.0
31.7755459516.04993911.0
40.7325123925.90758831.0
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" - ], - "text/plain": [ - " POIDLOG POIDSF cLT1FREQ cLT2FREQ\n", - "0 0.889422 4766.865201 2 1.0\n", - "1 2.310209 12381.589746 30 1.0\n", - "2 2.740070 14685.431344 6 2.0\n", - "3 1.775545 9516.049939 1 1.0\n", - "4 0.732512 3925.907588 3 1.0" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "df = df[[c for c in df.columns if \"Unnamed\" not in c]]\n", - "df.head()" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "8403 7386\n" - ] - }, - { - "data": { - "text/html": [ - "
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POIDLOGPOIDSFcLT1FREQcLT2FREQ
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" - ], - "text/plain": [ - " POIDLOG POIDSF cLT1FREQ cLT2FREQ\n", - "8397 0.502091 2690.961176 3 1.0\n", - "8398 0.306852 1644.574141 6 1.0\n", - "8399 2.501181 13405.104689 6 1.0\n", - "8400 1.382758 7410.905653 1 1.0\n", - "8401 0.343340 1840.132652 3 1.0" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "notnull = df[~df.cLT2FREQ.isnull()] # équivalent ) df [ df.cLT2FREQ.notnull() ]\n", - "print(len(df), len(notnull))\n", - "notnull.tail()" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "notnull.to_excel(\"data.xlsx\") # question 4" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Pour lancer Excel, vous pouvez juste écrire ceci :" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[]" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "%system \"data.xlsx\"" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Vous devriez voir quelque chose comme ceci :" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "from IPython.display import Image\n", - "\n", - "Image(\"td10exc.png\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "

Questions

\n", - "\n", - "* **Que changerait l'ajout du paramètre ``how='outer'`` dans ce cas ?**\n", - "* **On cherche à joindre deux tables A,B qui ont chacune trois clés distinctes : $c_1, c_2, c_3$. Il y a respectivement dans chaque table $A_i$ et $B_i$ lignes pour la clé $c_i$. Combien la table finale issue de la fusion des deux tables contiendra-t-elle de lignes ?**" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "L'ajout du paramètres ``how='outer'`` ne changerait rien dans ce cas car les deux tables fusionnées contiennent exactement les mêmes clés.\n", - "\n", - "Le nombre de lignes obtenus serait $\\sum_{i=1}^{3} A_i B_i$. Il y a trois clés, chaque ligne de la table A doit être associée à toutes les lignes de la table B partageant la même clé." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "

Exercice 2 : lambda fonction

\n", - "\n", - "Ecrire une lambda fonction qui prend deux paramètres et qui est équivalente à la fonction suivante :" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "def delta(x, y):\n", - " return max(x, y) - min(x, y)" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "delta = lambda x, y: max(x, y) - min(x, y)" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "1" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "delta(4, 5)" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "((851, 5), (8403, 5))" - ] - }, - "execution_count": 13, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "import random\n", - "\n", - "df[\"select\"] = df.apply(lambda row: random.randint(1, 10), axis=1)\n", - "echantillon = df[df[\"select\"] == 1]\n", - "echantillon.shape, df.shape" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "

Exercice 3 : moyennes par groupes

\n", - " \n", - "Toujours avec le même jeu de données ([marathon.txt](http://www.xavierdupre.fr/enseignement/complements/marathon.txt)), on veut ajouter une ligne à la fin du tableau croisé dynamique contenant la moyenne en secondes des temps des marathons pour chaque ville." - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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" - ], - "text/plain": [ - " ville annee temps secondes\n", - "0 PARIS 2011 02:06:29 7589\n", - "1 PARIS 2010 02:06:41 7601\n", - "2 PARIS 2009 02:05:47 7547\n", - "3 PARIS 2008 02:06:40 7600\n", - "4 PARIS 2007 02:07:17 7637" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "from ensae_teaching_cs.data import marathon\n", - "import pandas\n", - "\n", - "df = pandas.read_csv(\n", - " marathon(), sep=\"\\t\", names=[\"ville\", \"annee\", \"temps\", \"secondes\"]\n", - ")\n", - "df.head()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "La solution requiert trois étapes.\n", - "\n", - "1. Pour avoir la moyenne par villes, il faut grouper les lignes associées à la même villes.\n", - "2. Ensuite, il faut introduire ces moyennes dans la table initiale : on fusionne.\n", - "3. On effectue le même pivot que dans l'énoncé." - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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villesecondes
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" - ], - "text/plain": [ - " ville secondes\n", - "0 AMSTERDAM 7883.371429\n", - "1 BERLIN 7922.315789\n", - "2 BOSTON 7891.061224\n", - "3 CHICAGO 7815.909091\n", - "4 FUKUOKA 8075.187500" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# étape 1\n", - "# par défaut, la méthode groupby utilise la clé de group comme index\n", - "# pour ne pas le faire, il faut préciser as_index = False\n", - "gr = df[[\"ville\", \"secondes\"]].groupby(\"ville\", as_index=False).mean()\n", - "gr.head()" - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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villeanneetempssecondes_xsecondes_y
0PARIS201102:06:2975897937.028571
1PARIS201002:06:4176017937.028571
2PARIS200902:05:4775477937.028571
3PARIS200802:06:4076007937.028571
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" - ], - "text/plain": [ - " ville annee temps secondes_x secondes_y\n", - "0 PARIS 2011 02:06:29 7589 7937.028571\n", - "1 PARIS 2010 02:06:41 7601 7937.028571\n", - "2 PARIS 2009 02:05:47 7547 7937.028571\n", - "3 PARIS 2008 02:06:40 7600 7937.028571\n", - "4 PARIS 2007 02:07:17 7637 7937.028571" - ] - }, - "execution_count": 16, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# étape 2 - on ajoute une colonne\n", - "tout = df.merge(gr, on=\"ville\")\n", - "tout.head()" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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annee
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20107544.07508.07552.07583.07704.07519.07694.07601.07968.0
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" - ], - "text/plain": [ - "ville AMSTERDAM BERLIN BOSTON CHICAGO FUKUOKA LONDON NEW YORK PARIS \\\n", - "annee \n", - "2007 7589.0 7466.0 8053.0 7871.0 7599.0 7661.0 7744.0 7637.0 \n", - "2008 7672.0 7439.0 7665.0 7585.0 7570.0 7515.0 7723.0 7600.0 \n", - "2009 7578.0 7568.0 7722.0 7541.0 7518.0 7510.0 7755.0 7547.0 \n", - "2010 7544.0 7508.0 7552.0 7583.0 7704.0 7519.0 7694.0 7601.0 \n", - "2011 NaN 7418.0 7382.0 NaN NaN 7480.0 NaN 7589.0 \n", - "\n", - "ville STOCKOLM \n", - "annee \n", - "2007 8456.0 \n", - "2008 8163.0 \n", - "2009 8134.0 \n", - "2010 7968.0 \n", - "2011 8047.0 " - ] - }, - "execution_count": 17, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# étape 3\n", - "piv = tout.pivot(\"annee\", \"ville\", \"secondes_x\")\n", - "piv.tail()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "A partir de là, on ne voit pas trop comment s'en sortir. Voici ce que je propose :\n", - "\n", - "1. On effectue un pivot sur la petite matrice des moyennes.\n", - "2. On ajoute ce second pivot avec le premier (celui de l'énoncé)." - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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villeAMSTERDAMBERLINBOSTONCHICAGOFUKUOKALONDONNEW YORKPARISSTOCKOLM
annee
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" - ], - "text/plain": [ - "ville AMSTERDAM BERLIN BOSTON CHICAGO FUKUOKA \\\n", - "annee \n", - "moyenne 7883.371429 7922.315789 7891.061224 7815.909091 8075.1875 \n", - "\n", - "ville LONDON NEW YORK PARIS STOCKOLM \n", - "annee \n", - "moyenne 7695.16129 7928.560976 7937.028571 8133.393939 " - ] - }, - "execution_count": 18, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "gr[\"annee\"] = \"moyenne\"\n", - "pivmean = gr.pivot(\"annee\", \"ville\", \"secondes\")\n", - "pivmean" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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" - ], - "text/plain": [ - "ville AMSTERDAM BERLIN BOSTON CHICAGO FUKUOKA \\\n", - "annee \n", - "2008 7672.000000 7439.000000 7665.000000 7585.000000 7570.0000 \n", - "2009 7578.000000 7568.000000 7722.000000 7541.000000 7518.0000 \n", - "2010 7544.000000 7508.000000 7552.000000 7583.000000 7704.0000 \n", - "2011 NaN 7418.000000 7382.000000 NaN NaN \n", - "moyenne 7883.371429 7922.315789 7891.061224 7815.909091 8075.1875 \n", - "\n", - "ville LONDON NEW YORK PARIS STOCKOLM \n", - "annee \n", - "2008 7515.00000 7723.000000 7600.000000 8163.000000 \n", - "2009 7510.00000 7755.000000 7547.000000 8134.000000 \n", - "2010 7519.00000 7694.000000 7601.000000 7968.000000 \n", - "2011 7480.00000 NaN 7589.000000 8047.000000 \n", - "moyenne 7695.16129 7928.560976 7937.028571 8133.393939 " - ] - }, - "execution_count": 19, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "piv = df.pivot(\"annee\", \"ville\", \"secondes\")\n", - "pandas.concat([piv, pivmean]).tail()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "En résumé, cela donne (j'ajoute aussi le nombre de marathons courus) :" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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villeAMSTERDAMBERLINBOSTONCHICAGOFUKUOKALONDONNEW YORKPARISSTOCKOLM
annee
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" - ], - "text/plain": [ - "ville AMSTERDAM BERLIN BOSTON CHICAGO FUKUOKA \\\n", - "annee \n", - "2008 7672.000000 7439.000000 7665.000000 7585.000000 7570.0000 \n", - "2009 7578.000000 7568.000000 7722.000000 7541.000000 7518.0000 \n", - "2010 7544.000000 7508.000000 7552.000000 7583.000000 7704.0000 \n", - "2011 NaN 7418.000000 7382.000000 NaN NaN \n", - "moyenne 7883.371429 7922.315789 7891.061224 7815.909091 8075.1875 \n", - "\n", - "ville LONDON NEW YORK PARIS STOCKOLM \n", - "annee \n", - "2008 7515.00000 7723.000000 7600.000000 8163.000000 \n", - "2009 7510.00000 7755.000000 7547.000000 8134.000000 \n", - "2010 7519.00000 7694.000000 7601.000000 7968.000000 \n", - "2011 7480.00000 NaN 7589.000000 8047.000000 \n", - "moyenne 7695.16129 7928.560976 7937.028571 8133.393939 " - ] - }, - "execution_count": 20, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "import pandas, urllib.request\n", - "from ensae_teaching_cs.data import marathon\n", - "\n", - "df = pandas.read_csv(\n", - " marathon(filename=True), sep=\"\\t\", names=[\"ville\", \"annee\", \"temps\", \"secondes\"]\n", - ")\n", - "piv = df.pivot(\"annee\", \"ville\", \"secondes\")\n", - "gr = df[[\"ville\", \"secondes\"]].groupby(\"ville\", as_index=False).mean()\n", - "gr[\"annee\"] = \"moyenne\"\n", - "pivmean = gr.pivot(\"annee\", \"ville\", \"secondes\")\n", - "\n", - "pandas.concat([piv, pivmean]).tail()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "

Exercice 4 : écart entre les mariés

\n", - "\n", - "1. En ajoutant une colonne et en utilisant l'opération [group by](http://pandas.pydata.org/pandas-docs/stable/groupby.html), on veut obtenir la distribution du nombre de mariages en fonction de l'écart entre les mariés. Au besoin, on changera le type d'une colone ou deux.\n", - "2. On veut tracer un nuage de points avec en abscisse l'âge du mari, en ordonnée, l'âge de la femme. Il faudra peut-être jeter un coup d'oeil sur la documentation de la méthode [plot](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.DataFrame.plot.html)." - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Download of etatcivil2012_mar2012_dbase.zip: DONE!\n", - "Download of etatcivil2012_nais2012_dbase.zip: DONE!\n", - "Download of etatcivil2012_dec2012_dbase.zip: DONE!\n" - ] - } - ], - "source": [ - "import urllib.request\n", - "import zipfile\n", - "import http.client\n", - "\n", - "\n", - "def download_and_save(name, root_url):\n", - " try:\n", - " response = urllib.request.urlopen(root_url + name)\n", - " except (TimeoutError, urllib.request.URLError, http.client.BadStatusLine):\n", - " # back up plan\n", - " root_url = \"http://www.xavierdupre.fr/enseignement/complements/\"\n", - " response = urllib.request.urlopen(root_url + name)\n", - " with open(name, \"wb\") as outfile:\n", - " outfile.write(response.read())\n", - "\n", - "\n", - "def unzip(name):\n", - " with zipfile.ZipFile(name, \"r\") as z:\n", - " z.extractall(\".\")\n", - "\n", - "\n", - "filenames = [\n", - " \"etatcivil2012_mar2012_dbase.zip\",\n", - " \"etatcivil2012_nais2012_dbase.zip\",\n", - " \"etatcivil2012_dec2012_dbase.zip\",\n", - "]\n", - "root_url = \"https://www.insee.fr/fr/statistiques/fichier/2407910/\"\n", - "\n", - "for filename in filenames:\n", - " download_and_save(filename, root_url)\n", - " unzip(filename)\n", - " print(\"Download of {}: DONE!\".format(filename))" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "use of zipped version\n", - "(246123, 16) Index(['AMAR', 'ANAISF', 'ANAISH', 'DEPDOM', 'DEPMAR', 'DEPNAISF', 'DEPNAISH',\n", - " 'ETAMATF', 'ETAMATH', 'INDNATF', 'INDNATH', 'JSEMAINE', 'MMAR',\n", - " 'NBENFCOM', 'TUCOM', 'TUDOM'],\n", - " dtype='object')\n" - ] - }, - { - "data": { - "text/html": [ - "
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" - ], - "text/plain": [ - " AMAR ANAISF ANAISH DEPDOM DEPMAR DEPNAISF DEPNAISH ETAMATF ETAMATH \\\n", - "0 2012 1984 1982 99 29 99 75 1 1 \n", - "1 2012 1969 1956 99 75 99 69 4 4 \n", - "2 2012 1992 1982 99 34 99 99 1 1 \n", - "3 2012 1987 1985 99 13 84 99 1 1 \n", - "4 2012 1963 1968 99 26 99 99 1 1 \n", - "\n", - " INDNATF INDNATH JSEMAINE MMAR NBENFCOM TUCOM TUDOM \n", - "0 2 1 1 1 N NaN 9 \n", - "1 2 2 3 1 N NaN 9 \n", - "2 1 2 5 1 N NaN 9 \n", - "3 1 2 4 1 N NaN 9 \n", - "4 2 2 6 1 N NaN 9 " - ] - }, - "execution_count": 22, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "import pandas\n", - "\n", - "try:\n", - " from dbfread_ import DBF\n", - "\n", - " use_dbfread = True\n", - "except ImportError as e:\n", - " use_dbfread = False\n", - "\n", - "if use_dbfread:\n", - " print(\"use of dbfread\")\n", - "\n", - " def dBase2df(dbase_filename):\n", - " table = DBF(dbase_filename, load=True, encoding=\"cp437\")\n", - " return pandas.DataFrame(table.records)\n", - "\n", - " df = dBase2df(\"mar2012.dbf\")\n", - "else:\n", - " print(\"use of zipped version\")\n", - " import pyensae.datasource\n", - "\n", - " data = pyensae.datasource.download_data(\"mar2012.zip\")\n", - " df = pandas.read_csv(data[0], sep=\"\\t\", encoding=\"utf8\", low_memory=False)\n", - "\n", - "print(df.shape, df.columns)\n", - "df.head()" - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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AMARANAISFANAISHDEPDOMDEPMARDEPNAISFDEPNAISHETAMATFETAMATHINDNATFINDNATHJSEMAINEMMARNBENFCOMTUCOMTUDOMageHageF
020121984198299299975112111NNaN93230
120121969195699759969442231NNaN95845
220121992198299349999111251NNaN93222
320121987198599138499111241NNaN92927
420121963196899269999112261NNaN94651
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" - ], - "text/plain": [ - " AMAR ANAISF ANAISH DEPDOM DEPMAR DEPNAISF DEPNAISH ETAMATF ETAMATH \\\n", - "0 2012 1984 1982 99 29 99 75 1 1 \n", - "1 2012 1969 1956 99 75 99 69 4 4 \n", - "2 2012 1992 1982 99 34 99 99 1 1 \n", - "3 2012 1987 1985 99 13 84 99 1 1 \n", - "4 2012 1963 1968 99 26 99 99 1 1 \n", - "\n", - " INDNATF INDNATH JSEMAINE MMAR NBENFCOM TUCOM TUDOM ageH ageF \n", - "0 2 1 1 1 N NaN 9 32 30 \n", - "1 2 2 3 1 N NaN 9 58 45 \n", - "2 1 2 5 1 N NaN 9 32 22 \n", - "3 1 2 4 1 N NaN 9 29 27 \n", - "4 2 2 6 1 N NaN 9 46 51 " - ] - }, - "execution_count": 23, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "df[\"ageH\"] = df.apply(lambda r: 2014 - int(r[\"ANAISH\"]), axis=1)\n", - "df[\"ageF\"] = df.apply(lambda r: 2014 - int(r[\"ANAISF\"]), axis=1)\n", - "df.head()" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 24, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", 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", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "df.plot(x=\"ageH\", y=\"ageF\", kind=\"hexbin\")" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "

Exercice 5 : graphe de la distribution avec pandas

\n", - "\n", - "Le module ``pandas`` propose un panel de graphiques standard faciles à obtenir. On souhaite représenter la distribution sous forme d'histogramme. A vous de choisir le meilleure graphique depuis la page [Visualization](http://pandas.pydata.org/pandas-docs/stable/visualization.html)." - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 26, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "df[\"ANAISH\"] = df.apply(lambda r: int(r[\"ANAISH\"]), axis=1)\n", - "df[\"ANAISF\"] = df.apply(lambda r: int(r[\"ANAISF\"]), axis=1)\n", - "df[\"differenceHF\"] = df.ANAISH - df.ANAISF\n", - "df[\"nb\"] = 1\n", - "dist = df[[\"nb\", \"differenceHF\"]].groupby(\"differenceHF\", as_index=False).count()\n", - "df[\"differenceHF\"].hist(figsize=(16, 6), bins=50)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "

Exercice 6 : distribution des mariages par jour

\n", - " \n", - "On veut obtenir un graphe qui contient l'histogramme de la distribution du nombre de mariages par jour de la semaine et d'ajouter une seconde courbe correspond avec un second axe à la répartition cumulée.\n" - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 27, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "df[\"nb\"] = 1\n", - "dissem = df[[\"JSEMAINE\", \"nb\"]].groupby(\"JSEMAINE\", as_index=False).sum()\n", - "total = dissem[\"nb\"].sum()\n", - "repsem = dissem.cumsum()\n", - "repsem[\"nb\"] /= total\n", - "\n", - "ax = dissem[\"nb\"].plot(kind=\"bar\")\n", - "repsem[\"nb\"].plot(ax=ax, secondary_y=True)\n", - "ax.set_title(\"distribution des mariages par jour de la semaine\")" - ] - }, - { - "cell_type": "code", - "execution_count": 27, - "metadata": { - "collapsed": true - }, - "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": "3.6.3" - } - }, - "nbformat": 4, - "nbformat_minor": 1 -} From e20c715324289772d028553db251e1e193e88076 Mon Sep 17 00:00:00 2001 From: Xavier Dupre Date: Mon, 28 Aug 2023 11:54:29 +0200 Subject: [PATCH 07/17] fix dataframe --- .gitignore | 2 + _doc/c_data/nb_dataframe.ipynb | 2650 +++++++++++++++++++++++++------- 2 files changed, 2079 insertions(+), 573 deletions(-) diff --git a/.gitignore b/.gitignore index 40e6b738..3fee5fb9 100644 --- a/.gitignore +++ b/.gitignore @@ -32,3 +32,5 @@ _doc/practice/algo-compose/paris_54000.* _doc/c_data/*.csv _doc/c_data/*.txt _doc/c_data/*.xlsx +_doc/c_data/*.zip +_doc/c_data/*.dbf diff --git a/_doc/c_data/nb_dataframe.ipynb b/_doc/c_data/nb_dataframe.ipynb index 83f806c0..2a784866 100644 --- a/_doc/c_data/nb_dataframe.ipynb +++ b/_doc/c_data/nb_dataframe.ipynb @@ -11,7 +11,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 26, "metadata": { "collapsed": true }, @@ -49,7 +49,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 27, "metadata": {}, "outputs": [ { @@ -59,7 +59,7 @@ "" ] }, - "execution_count": 2, + "execution_count": 27, "metadata": {}, "output_type": "execute_result" } @@ -88,7 +88,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 28, "metadata": {}, "outputs": [ { @@ -102,7 +102,7 @@ "dtype: object" ] }, - "execution_count": 3, + "execution_count": 28, "metadata": {}, "output_type": "execute_result" } @@ -125,7 +125,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 29, "metadata": {}, "outputs": [ { @@ -138,7 +138,7 @@ "dtype: int64" ] }, - "execution_count": 4, + "execution_count": 29, "metadata": {}, "output_type": "execute_result" } @@ -162,7 +162,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 30, "metadata": {}, "outputs": [ { @@ -177,7 +177,7 @@ "dtype: bool" ] }, - "execution_count": 5, + "execution_count": 30, "metadata": {}, "output_type": "execute_result" } @@ -198,7 +198,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 31, "metadata": {}, "outputs": [ { @@ -213,7 +213,7 @@ "dtype: float64" ] }, - "execution_count": 6, + "execution_count": 31, "metadata": {}, "output_type": "execute_result" } @@ -235,7 +235,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 32, "metadata": {}, "outputs": [ { @@ -256,7 +256,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 33, "metadata": {}, "outputs": [ { @@ -271,7 +271,7 @@ "dtype: float64" ] }, - "execution_count": 8, + "execution_count": 33, "metadata": {}, "output_type": "execute_result" } @@ -291,7 +291,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 34, "metadata": {}, "outputs": [ { @@ -343,7 +343,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 35, "metadata": {}, "outputs": [ { @@ -395,7 +395,7 @@ "1 2014-06-23 221.0 euros" ] }, - "execution_count": 10, + "execution_count": 35, "metadata": {}, "output_type": "execute_result" } @@ -420,7 +420,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 36, "metadata": {}, "outputs": [ { @@ -472,7 +472,7 @@ "1 2014-06-23 NaN euros" ] }, - "execution_count": 11, + "execution_count": 36, "metadata": {}, "output_type": "execute_result" } @@ -495,7 +495,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 37, "metadata": {}, "outputs": [ { @@ -506,7 +506,7 @@ "Name: prix, dtype: float64" ] }, - "execution_count": 12, + "execution_count": 37, "metadata": {}, "output_type": "execute_result" } @@ -524,7 +524,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 38, "metadata": {}, "outputs": [ { @@ -535,7 +535,7 @@ "Name: prix, dtype: float64" ] }, - "execution_count": 13, + "execution_count": 38, "metadata": {}, "output_type": "execute_result" } @@ -553,7 +553,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 39, "metadata": {}, "outputs": [ { @@ -602,7 +602,7 @@ "1 2014-06-23 NaN" ] }, - "execution_count": 14, + "execution_count": 39, "metadata": {}, "output_type": "execute_result" } @@ -620,7 +620,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 40, "metadata": {}, "outputs": [ { @@ -675,7 +675,7 @@ "devise euros euros" ] }, - "execution_count": 15, + "execution_count": 40, "metadata": {}, "output_type": "execute_result" } @@ -696,7 +696,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 41, "metadata": {}, "outputs": [ { @@ -715,7 +715,7 @@ "['/bin/bash: line 1: exemple.xlsx: command not found']" ] }, - "execution_count": 16, + "execution_count": 41, "metadata": {}, "output_type": "execute_result" } @@ -753,26 +753,97 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 43, "metadata": {}, "outputs": [ { - "ename": "NameError", - "evalue": "name 'marathon' is not defined", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", - "Cell \u001b[0;32mIn[17], line 4\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[39mimport\u001b[39;00m \u001b[39mpandas\u001b[39;00m\n\u001b[1;32m 3\u001b[0m df \u001b[39m=\u001b[39m pandas\u001b[39m.\u001b[39mread_csv(\n\u001b[0;32m----> 4\u001b[0m marathon(filename\u001b[39m=\u001b[39m\u001b[39mTrue\u001b[39;00m), sep\u001b[39m=\u001b[39m\u001b[39m\"\u001b[39m\u001b[39m\\t\u001b[39;00m\u001b[39m\"\u001b[39m, names\u001b[39m=\u001b[39m[\u001b[39m\"\u001b[39m\u001b[39mville\u001b[39m\u001b[39m\"\u001b[39m, \u001b[39m\"\u001b[39m\u001b[39mannee\u001b[39m\u001b[39m\"\u001b[39m, \u001b[39m\"\u001b[39m\u001b[39mtemps\u001b[39m\u001b[39m\"\u001b[39m, \u001b[39m\"\u001b[39m\u001b[39msecondes\u001b[39m\u001b[39m\"\u001b[39m]\n\u001b[1;32m 5\u001b[0m )\n\u001b[1;32m 6\u001b[0m df\u001b[39m.\u001b[39mhead()\n", - 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villeanneetempssecondes
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" + ], + "text/plain": [ + " ville annee temps secondes\n", + "0 PARIS 2011 02:06:29 7589\n", + "1 PARIS 2010 02:06:41 7601\n", + "2 PARIS 2009 02:05:47 7547\n", + "3 PARIS 2008 02:06:40 7600\n", + "4 PARIS 2007 02:07:17 7637" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ "import pandas\n", "\n", - "df = pandas.read_csv(\n", - " marathon(filename=True), sep=\"\\t\", names=[\"ville\", \"annee\", \"temps\", \"secondes\"]\n", + "df = df_marathon = pandas.read_csv(\n", + " \"https://github.com/sdpython/teachpyx/raw/exos/_data/marathon.txt\",\n", + " sep=\"\\t\",\n", + " names=[\"ville\", \"annee\", \"temps\", \"secondes\"],\n", ")\n", "df.head()" ] @@ -786,7 +857,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 44, "metadata": {}, "outputs": [ { @@ -810,59 +881,68 @@ " \n", " \n", " \n", - " prix\n", + " annee\n", + " secondes\n", " \n", " \n", " \n", " \n", " count\n", - " 2.000000\n", + " 359.000000\n", + " 359.000000\n", " \n", " \n", " mean\n", - " 220.500000\n", + " 1989.754875\n", + " 7933.660167\n", " \n", " \n", " std\n", - " 0.707107\n", + " 14.028545\n", + " 385.289830\n", " \n", " \n", " min\n", - " 220.000000\n", + " 1947.000000\n", + " 7382.000000\n", " \n", " \n", " 25%\n", - " 220.250000\n", + " 1981.000000\n", + " 7698.000000\n", " \n", " \n", " 50%\n", - " 220.500000\n", + " 1991.000000\n", + " 7820.000000\n", " \n", " \n", " 75%\n", - " 220.750000\n", + " 2001.000000\n", + " 8046.500000\n", " \n", " \n", " max\n", - " 221.000000\n", + " 2011.000000\n", + " 10028.000000\n", " \n", " \n", "\n", "" ], "text/plain": [ - " prix\n", - "count 2.000000\n", - "mean 220.500000\n", - "std 0.707107\n", - "min 220.000000\n", - "25% 220.250000\n", - "50% 220.500000\n", - "75% 220.750000\n", - "max 221.000000" + " annee secondes\n", + "count 359.000000 359.000000\n", + "mean 1989.754875 7933.660167\n", + "std 14.028545 385.289830\n", + "min 1947.000000 7382.000000\n", + "25% 1981.000000 7698.000000\n", + "50% 1991.000000 7820.000000\n", + "75% 2001.000000 8046.500000\n", + "max 2011.000000 10028.000000" ] }, - "execution_count": 19, + "execution_count": 44, "metadata": {}, "output_type": "execute_result" } @@ -882,7 +962,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 45, "metadata": {}, "outputs": [ { @@ -934,7 +1014,7 @@ "1 2014-06-23 221.0 euros" ] }, - "execution_count": 20, + "execution_count": 45, "metadata": {}, "output_type": "execute_result" } @@ -959,7 +1039,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 46, "metadata": {}, "outputs": [ { @@ -971,7 +1051,7 @@ "Name: 1, dtype: object" ] }, - "execution_count": 21, + "execution_count": 46, "metadata": {}, "output_type": "execute_result" } @@ -989,7 +1069,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 47, "metadata": {}, "outputs": [ { @@ -1001,7 +1081,7 @@ "Name: 1, dtype: object" ] }, - "execution_count": 22, + "execution_count": 47, "metadata": {}, "output_type": "execute_result" } @@ -1019,7 +1099,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 48, "metadata": {}, "outputs": [ { @@ -1028,7 +1108,7 @@ "'euros'" ] }, - "execution_count": 23, + "execution_count": 48, "metadata": {}, "output_type": "execute_result" } @@ -1046,7 +1126,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 49, "metadata": {}, "outputs": [ { @@ -1055,7 +1135,7 @@ "Index(['date', 'prix', 'devise'], dtype='object')" ] }, - "execution_count": 24, + "execution_count": 49, "metadata": {}, "output_type": "execute_result" } @@ -1066,7 +1146,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 50, "metadata": {}, "outputs": [ { @@ -1075,7 +1155,7 @@ "221.0" ] }, - "execution_count": 25, + "execution_count": 50, "metadata": {}, "output_type": "execute_result" } @@ -1093,7 +1173,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 51, "metadata": {}, "outputs": [ { @@ -1148,7 +1228,7 @@ "2014-06-23 221.0 euros" ] }, - "execution_count": 26, + "execution_count": 51, "metadata": {}, "output_type": "execute_result" } @@ -1167,7 +1247,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 52, "metadata": {}, "outputs": [ { @@ -1178,7 +1258,7 @@ "Name: 2014-06-23, dtype: object" ] }, - "execution_count": 27, + "execution_count": 52, "metadata": {}, "output_type": "execute_result" } @@ -1196,7 +1276,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 53, "metadata": {}, "outputs": [ { @@ -1206,7 +1286,7 @@ "Name: (dupré, xavier), dtype: int64" ] }, - "execution_count": 28, + "execution_count": 53, "metadata": {}, "output_type": "execute_result" } @@ -1231,7 +1311,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 54, "metadata": {}, "outputs": [ { @@ -1285,7 +1365,7 @@ " 15 clémence" ] }, - "execution_count": 29, + "execution_count": 54, "metadata": {}, "output_type": "execute_result" } @@ -1317,7 +1397,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 60, "metadata": {}, "outputs": [ { @@ -1350,53 +1430,53 @@ " \n", " \n", " 0\n", - " 11348 17958 54000 8 4516\n", - " NaN\n", - " NaN\n", - " NaN\n", + " PARIS\n", + " 2011\n", + " 02:06:29\n", + " 7589\n", " \n", " \n", " 1\n", - " 48.8351503 2.3077904\n", - " NaN\n", - " NaN\n", - " NaN\n", + " PARIS\n", + " 2010\n", + " 02:06:41\n", + " 7601\n", " \n", " \n", " 2\n", - " 48.8317022 2.3579381\n", - " NaN\n", - " NaN\n", - " NaN\n", + " PARIS\n", + " 2009\n", + " 02:05:47\n", + " 7547\n", " \n", " \n", " 3\n", - " 48.8812439 2.2917141\n", - " NaN\n", - " NaN\n", - " NaN\n", + " PARIS\n", + " 2008\n", + " 02:06:40\n", + " 7600\n", " \n", " \n", " 4\n", - " 48.8558991 2.3550941\n", - " NaN\n", - " NaN\n", - " NaN\n", + " PARIS\n", + " 2007\n", + " 02:07:17\n", + " 7637\n", " \n", " \n", "\n", "" ], "text/plain": [ - " ville annee temps secondes\n", - "0 11348 17958 54000 8 4516 NaN NaN NaN\n", - "1 48.8351503 2.3077904 NaN NaN NaN\n", - "2 48.8317022 2.3579381 NaN NaN NaN\n", - "3 48.8812439 2.2917141 NaN NaN NaN\n", - "4 48.8558991 2.3550941 NaN NaN NaN" + " ville annee temps secondes\n", + "0 PARIS 2011 02:06:29 7589\n", + "1 PARIS 2010 02:06:41 7601\n", + "2 PARIS 2009 02:05:47 7547\n", + "3 PARIS 2008 02:06:40 7600\n", + "4 PARIS 2007 02:07:17 7637" ] }, - "execution_count": 31, + "execution_count": 60, "metadata": {}, "output_type": "execute_result" } @@ -1404,11 +1484,7 @@ "source": [ "import pandas, urllib.request\n", "\n", - "df = pandas.read_csv(\n", - " \"https://github.com/sdpython/teachpyx/raw/main/_data/paris_54000.zip\",\n", - " sep=\"\\t\",\n", - " names=[\"ville\", \"annee\", \"temps\", \"secondes\"],\n", - ")\n", + "df = df_marathon\n", "df.head()" ] }, @@ -1421,25 +1497,25 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 61, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", - "\n", "\n", " \n", @@ -1484,7 +1560,7 @@ "5 PARIS 2006 02:08:03 7683" ] }, - "execution_count": 32, + "execution_count": 61, "metadata": {}, "output_type": "execute_result" } @@ -1502,25 +1578,25 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 62, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", - "\n", "
\n", " \n", @@ -1563,7 +1639,7 @@ "6 2005 02:08:02" ] }, - "execution_count": 33, + "execution_count": 62, "metadata": {}, "output_type": "execute_result" } @@ -1581,25 +1657,25 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 63, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", - "\n", "
\n", " \n", @@ -1642,7 +1718,7 @@ "6 2005 02:08:02" ] }, - "execution_count": 34, + "execution_count": 63, "metadata": {}, "output_type": "execute_result" } @@ -1687,7 +1763,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 64, "metadata": { "collapsed": true }, @@ -1718,7 +1794,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 76, "metadata": {}, "outputs": [ { @@ -1726,19 +1802,15 @@ "output_type": "stream", "text": [ "Index(['ville', 'annee', 'temps', 'secondes'], dtype='object')\n", - "villes {'48.848105800000006 2.2901315', '4496 8829 1 14 133', '6809 862 2 26 38', '7351 5139 1 14 184', '6445 1396 2 3 54', '3730 6199 1 5 74', '48.8698083 2.3405863', '48.8399543 2.3067426', '4084 9263 1 12 48', '48.8889409 2.3179476', '7750 2249 2 4 30', '3731 2363 1 40 321', '48.8630604 2.3880534', '48.8619027 2.2714662000000003', '10390 9911 1 16 93', '48.8960224 2.3459958000000003', '7376 6929 1 22 176', '66 9671 1 9 106', '48.8659854 2.2818251000000003', '4899 3892 1 5 75', '5347 5140 1 2 28', '9523 1678 1 5 68', '48.859939000000004 2.3607365000000002', '7609 2664 2 29 105', '48.8520801 2.2888217', '48.8378864 2.3573079000000003', '2112 8450 1 3 48', '12 643 2 9 40', '48.857545200000004 2.3869626', '548 10109 1 5 43', '2940 10276 1 4 36', '5253 163 1 18 146', '48.825090800000005 2.3573883', '48.839759900000004 2.4043743', '48.856051 2.366604', '48.8820593 2.3932831', '48.856618100000006 2.3855819', '5877 7831 1 49 68', '48.900974600000005 2.3269196', '48.8419796 2.2641434', '4683 8249 2 7 98', '48.87439800000001 2.282836', '9472 3019 1 1 7', '4637 3031 2 5 45', '48.8245687 2.3841', '3446 4196 2 1 12', '48.8789346 2.3417717000000002', '11013 1861 1 35 346', '1424 10299 1 17 186', '466 5525 1 6 77', '8948 10650 2 12 138', '5986 538 2 4 32', '8650 9633 1 25 54', '10622 10431 1 2 25', '48.866323900000005 2.2732709', '2685 9456 1 21 218', '9985 11285 1 7 65', '7 4908 2 32 86', '5512 1826 1 4 31', '48.830995900000005 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'1731 5901 2 2 28', '6747 3421 2 17 138', '8901 6780 2 13 162', '48.855574100000005 2.4006798000000003', '7101 8032 1 17 180', '48.862709 2.2674408', '48.852744400000006 2.3236576', '7619 7813 1 21 215', '9612 1832 1 7 57', '48.8568841 2.3973629', '7272 1772 2 7 74', '48.8687618 2.3110097', '48.8612321 2.3582039000000004', '5868 6694 1 29 196', '2224 10306 2 11 115', '48.8636471 2.3747177', '48.841325000000005 2.2966199', '4039 1554 2 1 19', '11195 3421 1 3 39', '6217 1484 1 15 125', '48.8647068 2.4088513000000003', '3968 9337 2 21 294', '10125 4273 2 2 27', '1932 9631 1 4 36', '4895 7025 1 11 125', '48.880464700000005 2.3498007000000003', '48.840066500000006 2.3368346', '8775 10072 1 51 78', '4323 1357 1 13 166', '1695 6554 1 24 159', '7056 6682 1 7 49', '7155 5494 2 12 138', '48.842210200000004 2.2992302000000002', '7469 8665 1 4 55', '10231 2633 2 9 132', '48.8291192 2.3605298', '2037 6103 1 23 282', '9125 8167 1 3 31', '5120 783 1 9 64', '5935 2732 1 4 57', '48.848862000000004 2.341771', '6712 5322 1 12 90', '2237 3102 1 23 144', '3087 5971 1 26 161', '10458 4295 2 1 8', '7353 4343 1 8 88', '48.8342431 2.4107407000000003', '7982 4853 2 9 119', '7532 3018 1 1 18', '9463 3484 1 15 219', '1231 9117 1 22 122', '5095 4910 2 2 28', '4317 6142 1 10 151', '4070 3778 1 23 101', '48.8548544 2.3054132000000003', '48.8689632 2.3522101', '48.8773849 2.2840471', '356 735 1 23 187', '7547 2785 2 1 8', '9989 3940 2 7 100'}\n", - "annee [nan, nan, nan, nan, nan, nan, nan, nan, nan, nan] ...\n" + "villes {'AMSTERDAM', 'LONDON', 'BOSTON', 'BERLIN', 'PARIS', 'NEW YORK', 'CHICAGO', 'FUKUOKA', 'STOCKOLM'}\n", + "annee [1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956] ...\n" ] } ], "source": [ "import pandas\n", "\n", - "df = pandas.read_csv(\n", - " \"https://github.com/sdpython/teachpyx/raw/main/_data/paris_54000.zip\",\n", - " sep=\"\\t\",\n", - " names=[\"ville\", \"annee\", \"temps\", \"secondes\"],\n", - ")\n", + "df = df_marathon\n", "print(df.columns)\n", "print(\"villes\", set(df.ville))\n", "print(\"annee\", list(set(df.annee))[:10], \"...\")" @@ -1766,25 +1838,25 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 77, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", - "\n", "
\n", " \n", @@ -1829,7 +1901,7 @@ "285 BOSTON 1971 02:18:45 8325" ] }, - "execution_count": 37, + "execution_count": 77, "metadata": {}, "output_type": "execute_result" } @@ -1841,25 +1913,25 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 78, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", - "\n", "
\n", " \n", @@ -1888,7 +1960,7 @@ "285 BOSTON 1971 02:18:45 8325" ] }, - "execution_count": 38, + "execution_count": 78, "metadata": {}, "output_type": "execute_result" } @@ -1907,25 +1979,25 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 79, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", - "\n", "
\n", " \n", @@ -1954,7 +2026,7 @@ "285 BOSTON 1971 02:18:45 8325" ] }, - "execution_count": 39, + "execution_count": 79, "metadata": {}, "output_type": "execute_result" } @@ -1978,7 +2050,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 80, "metadata": {}, "outputs": [ { @@ -1987,7 +2059,7 @@ "((359, 4), (718, 4))" ] }, - "execution_count": 40, + "execution_count": 80, "metadata": {}, "output_type": "execute_result" } @@ -1999,7 +2071,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 81, "metadata": {}, "outputs": [ { @@ -2008,7 +2080,7 @@ "((359, 4), (359, 8))" ] }, - "execution_count": 41, + "execution_count": 81, "metadata": {}, "output_type": "execute_result" } @@ -2031,25 +2103,25 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 82, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", - "\n", "
\n", " \n", @@ -2110,7 +2182,7 @@ "276 STOCKOLM 2011 02:14:07 8047" ] }, - "execution_count": 42, + "execution_count": 82, "metadata": {}, "output_type": "execute_result" } @@ -2138,16 +2210,16 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 83, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 43, + "execution_count": 83, "metadata": {}, "output_type": "execute_result" } @@ -2159,25 +2231,25 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 90, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", - "\n", "
\n", " \n", @@ -2239,37 +2311,37 @@ "2007 9 9 9" ] }, - "execution_count": 44, + "execution_count": 90, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "nb = gr.count()\n", + "nb = df.groupby(\"annee\").count()\n", "nb.sort_index(ascending=False).head()" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 92, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", - "\n", "
\n", " \n", @@ -2302,37 +2374,37 @@ "2010 68673" ] }, - "execution_count": 45, + "execution_count": 92, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "nb = gr.sum()\n", + "nb = df[[\"annee\", \"secondes\"]].groupby(\"annee\").sum()\n", "nb.sort_index(ascending=False).head(n=2)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 93, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", - "\n", "
\n", " \n", @@ -2370,13 +2442,13 @@ "2009 7652.555556" ] }, - "execution_count": 46, + "execution_count": 93, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "nb = gr.mean()\n", + "nb = df[[\"annee\", \"secondes\"]].groupby(\"annee\").mean()\n", "nb.sort_index(ascending=False).head(n=3)" ] }, @@ -2389,25 +2461,25 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 94, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", - "\n", "
\n", " \n", @@ -2444,7 +2516,7 @@ "64 2011 8047" ] }, - "execution_count": 47, + "execution_count": 94, "metadata": {}, "output_type": "execute_result" } @@ -2467,25 +2539,25 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 95, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", - "\n", "
\n", " \n", @@ -2528,7 +2600,7 @@ "2011 5 8047" ] }, - "execution_count": 48, + "execution_count": 95, "metadata": {}, "output_type": "execute_result" } @@ -2551,7 +2623,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 96, "metadata": { "collapsed": true }, @@ -2562,7 +2634,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 97, "metadata": {}, "outputs": [ { @@ -2588,7 +2660,7 @@ " 251]" ] }, - "execution_count": 50, + "execution_count": 97, "metadata": {}, "output_type": "execute_result" } @@ -2816,7 +2888,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 98, "metadata": {}, "outputs": [ { @@ -2826,7 +2898,7 @@ "" ] }, - "execution_count": 52, + "execution_count": 98, "metadata": {}, "output_type": "execute_result" } @@ -2846,74 +2918,74 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 99, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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CVC
0USABOSTONUSA
1USANEW YORKUSA
2GermanyBERLINGermany
3UKLONDONUK
4FrancePARISFrance
\n", "
" ], "text/plain": [ - " C V\n", - "0 USA BOSTON\n", - "1 USA NEW YORK\n", - "2 Germany BERLIN\n", - "3 UK LONDON\n", - "4 France PARIS" + " V C\n", + "0 BOSTON USA\n", + "1 NEW YORK USA\n", + "2 BERLIN Germany\n", + "3 LONDON UK\n", + "4 PARIS France" ] }, - "execution_count": 53, + "execution_count": 99, "metadata": {}, "output_type": "execute_result" } @@ -2932,25 +3004,25 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 100, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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anneetempssecondesCVC
201102:06:297589FrancePARISFrance
1201002:06:417601FrancePARISFrance
192201002:05:527552USABOSTONUSA
193201102:03:027382USABOSTONUSA
\n", "
" ], "text/plain": [ - " ville annee temps secondes C V\n", - "0 PARIS 2011 02:06:29 7589 France PARIS\n", - "1 PARIS 2010 02:06:41 7601 France PARIS\n", - "192 BOSTON 2010 02:05:52 7552 USA BOSTON\n", - "193 BOSTON 2011 02:03:02 7382 USA BOSTON" + " ville annee temps secondes V C\n", + "0 PARIS 2011 02:06:29 7589 PARIS France\n", + "1 PARIS 2010 02:06:41 7601 PARIS France\n", + "192 BOSTON 2010 02:05:52 7552 BOSTON USA\n", + "193 BOSTON 2011 02:03:02 7382 BOSTON USA" ] }, - "execution_count": 54, + "execution_count": 100, "metadata": {}, "output_type": "execute_result" } @@ -3065,25 +3137,25 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 103, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", - "\n", "\n", " \n", @@ -3115,46 +3187,46 @@ " \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", - " \n", + " \n", + " \n", + " \n", + " \n", " \n", " \n", " \n", " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -3211,13 +3283,13 @@ " \n", " \n", " \n", - " \n", + " \n", " \n", " \n", - " \n", - " \n", + " \n", + " \n", " \n", - " \n", + " \n", " \n", " \n", " \n", @@ -3228,21 +3300,21 @@ "text/plain": [ "ville AMSTERDAM BERLIN BOSTON CHICAGO FUKUOKA LONDON NEW YORK \\\n", "annee \n", - "1967 None None 02:15:45 None 02:09:37 None None \n", - "1968 None None 02:22:17 None 02:10:48 None None \n", - "1969 None None 02:13:49 None 02:11:13 None None \n", - "1987 02:12:40 02:11:11 02:11:50 None 02:08:18 02:09:50 02:11:01 \n", + "1967 NaN NaN 02:15:45 NaN 02:09:37 NaN NaN \n", + "1968 NaN NaN 02:22:17 NaN 02:10:48 NaN NaN \n", + "1969 NaN NaN 02:13:49 NaN 02:11:13 NaN NaN \n", + "1987 02:12:40 02:11:11 02:11:50 NaN 02:08:18 02:09:50 02:11:01 \n", "1988 02:12:38 02:11:45 02:08:43 02:08:57 02:11:04 02:10:20 02:08:20 \n", "1989 02:13:52 02:10:11 02:09:06 02:11:25 02:12:54 02:09:03 02:08:01 \n", "2009 02:06:18 02:06:08 02:08:42 02:05:41 02:05:18 02:05:10 02:09:15 \n", "2010 02:05:44 02:05:08 02:05:52 02:06:23 02:08:24 02:05:19 02:08:14 \n", - "2011 None 02:03:38 02:03:02 None None 02:04:40 None \n", + "2011 NaN 02:03:38 02:03:02 NaN NaN 02:04:40 NaN \n", "\n", "ville PARIS STOCKOLM \n", "annee \n", - "1967 None None \n", - "1968 None None \n", - "1969 None None \n", + "1967 NaN NaN \n", + "1968 NaN NaN \n", + "1969 NaN NaN \n", "1987 02:11:09 02:13:52 \n", "1988 02:13:53 02:14:26 \n", "1989 02:13:03 02:13:34 \n", @@ -3251,13 +3323,13 @@ "2011 02:06:29 02:14:07 " ] }, - "execution_count": 55, + "execution_count": 103, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "piv = df.pivot(\"annee\", \"ville\", \"temps\")\n", + "piv = df.pivot(index=\"annee\", columns=\"ville\", values=\"temps\")\n", "pandas.concat([piv[20:23], piv[40:43], piv.tail(n=3)])" ] }, @@ -3281,7 +3353,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 104, "metadata": {}, "outputs": [ { @@ -3307,25 +3379,25 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 105, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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1967NoneNoneNaNNaN02:15:45NoneNaN02:09:37NoneNoneNoneNoneNaNNaNNaNNaN
1968NoneNoneNaNNaN02:22:17NoneNaN02:10:48NoneNoneNoneNoneNaNNaNNaNNaN
1969NoneNoneNaNNaN02:13:49NoneNaN02:11:13NoneNoneNoneNoneNaNNaNNaNNaN
198702:12:4002:11:1102:11:50NoneNaN02:08:1802:09:5002:11:01
2011NoneNaN02:03:3802:03:02NoneNoneNaNNaN02:04:40NoneNaN02:06:2902:14:07
\n", " \n", @@ -3362,7 +3434,7 @@ "64 2011 8047" ] }, - "execution_count": 57, + "execution_count": 105, "metadata": {}, "output_type": "execute_result" } @@ -3390,7 +3462,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 106, "metadata": { "collapsed": true }, @@ -3409,7 +3481,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 107, "metadata": {}, "outputs": [ { @@ -3418,7 +3490,7 @@ "0.3328334999999999" ] }, - "execution_count": 59, + "execution_count": 107, "metadata": {}, "output_type": "execute_result" } @@ -3473,7 +3545,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 108, "metadata": {}, "outputs": [ { @@ -3482,7 +3554,7 @@ "(100000, 3)" ] }, - "execution_count": 61, + "execution_count": 108, "metadata": {}, "output_type": "execute_result" } @@ -3503,14 +3575,14 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 109, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "1.07 ms ± 77.7 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n" + "565 µs ± 21.5 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n" ] } ], @@ -3527,44 +3599,45 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 110, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "374 µs ± 22.6 µs per loop (mean ± std. dev. of 7 runs, 1000 loops each)\n" + "304 µs ± 38.6 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n" ] } ], "source": [ "big_dfi = big_df.set_index([\"cle1\", \"cle2\"])\n", "big_dfi = big_dfi.sort_index() # Il ne faut oublier de trier.\n", + "\n", "%timeit big_dfi.loc[(1,1), :]" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 111, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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\n", - "\n", "\n", " \n", @@ -3726,7 +3799,7 @@ "4 PARIS 2007 02:07:17 7637.0" ] }, - "execution_count": 65, + "execution_count": 113, "metadata": {}, "output_type": "execute_result" } @@ -3734,9 +3807,7 @@ "source": [ "from datetime import datetime, time\n", "\n", - "df = pandas.read_csv(\n", - " marathon(), sep=\"\\t\", names=[\"ville\", \"annee\", \"temps\", \"secondes\"]\n", - ")\n", + "df = df_marathon\n", "df = df[[\"ville\", \"annee\", \"temps\"]] # on enlève la colonne secondes pour la recréer\n", "df[\"secondes\"] = df.apply(\n", " lambda r: (\n", @@ -3765,7 +3836,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 114, "metadata": {}, "outputs": [ { @@ -3822,16 +3893,9 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 116, "metadata": {}, "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "use of dbfread\n" - ] - }, { "data": { "text/plain": [ @@ -3842,27 +3906,21 @@ " dtype='object'))" ] }, - "execution_count": 67, + "execution_count": 116, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pandas\n", + "from dbfread import DBF\n", "\n", - "try:\n", - " from dbfread import DBF\n", - "\n", - " use_dbfread = True\n", - "except ImportError as e:\n", - " use_dbfread = False\n", - "\n", - "print(\"use of dbfread\")\n", "\n", "def dBase2df(dbase_filename):\n", " table = DBF(dbase_filename, load=True, encoding=\"cp437\")\n", " return pandas.DataFrame(table.records)\n", "\n", + "\n", "df = df_civil = dBase2df(\"mar2012.dbf\")\n", "# df.to_csv(\"mar2012.txt\", sep=\"\\t\", encoding=\"utf8\", index=False)\n", "\n", @@ -3878,7 +3936,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 117, "metadata": {}, "outputs": [ { @@ -3892,18 +3950,18 @@ "data": { "text/html": [ "
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\n", " \n", @@ -4070,7 +4128,7 @@ "15 1 " ] }, - "execution_count": 68, + "execution_count": 117, "metadata": {}, "output_type": "execute_result" } @@ -4092,9 +4150,32 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 118, "metadata": {}, - "outputs": [], + "outputs": [ + { + "ename": "KeyError", + "evalue": "Ellipsis", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mKeyError\u001b[0m Traceback (most recent call last)", + "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/pandas/core/indexes/base.py:3653\u001b[0m, in \u001b[0;36mIndex.get_loc\u001b[0;34m(self, key)\u001b[0m\n\u001b[1;32m 3652\u001b[0m \u001b[39mtry\u001b[39;00m:\n\u001b[0;32m-> 3653\u001b[0m \u001b[39mreturn\u001b[39;00m \u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49m_engine\u001b[39m.\u001b[39;49mget_loc(casted_key)\n\u001b[1;32m 3654\u001b[0m \u001b[39mexcept\u001b[39;00m \u001b[39mKeyError\u001b[39;00m \u001b[39mas\u001b[39;00m err:\n", + "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/pandas/_libs/index.pyx:147\u001b[0m, in \u001b[0;36mpandas._libs.index.IndexEngine.get_loc\u001b[0;34m()\u001b[0m\n", + "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/pandas/_libs/index.pyx:176\u001b[0m, in \u001b[0;36mpandas._libs.index.IndexEngine.get_loc\u001b[0;34m()\u001b[0m\n", + "File \u001b[0;32mpandas/_libs/hashtable_class_helper.pxi:7080\u001b[0m, in \u001b[0;36mpandas._libs.hashtable.PyObjectHashTable.get_item\u001b[0;34m()\u001b[0m\n", + "File \u001b[0;32mpandas/_libs/hashtable_class_helper.pxi:7088\u001b[0m, in \u001b[0;36mpandas._libs.hashtable.PyObjectHashTable.get_item\u001b[0;34m()\u001b[0m\n", + "\u001b[0;31mKeyError\u001b[0m: Ellipsis", + "\nThe above exception was the direct cause of the following exception:\n", + "\u001b[0;31mKeyError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn[118], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m df\u001b[39m.\u001b[39;49mplot(\u001b[39m.\u001b[39;49m\u001b[39m.\u001b[39;49m\u001b[39m.\u001b[39;49m)\n", + "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/pandas/plotting/_core.py:940\u001b[0m, in \u001b[0;36mPlotAccessor.__call__\u001b[0;34m(self, *args, **kwargs)\u001b[0m\n\u001b[1;32m 938\u001b[0m \u001b[39mif\u001b[39;00m is_integer(x) \u001b[39mand\u001b[39;00m \u001b[39mnot\u001b[39;00m data\u001b[39m.\u001b[39mcolumns\u001b[39m.\u001b[39m_holds_integer():\n\u001b[1;32m 939\u001b[0m x \u001b[39m=\u001b[39m data_cols[x]\n\u001b[0;32m--> 940\u001b[0m \u001b[39melif\u001b[39;00m \u001b[39mnot\u001b[39;00m \u001b[39misinstance\u001b[39m(data[x], ABCSeries):\n\u001b[1;32m 941\u001b[0m \u001b[39mraise\u001b[39;00m \u001b[39mValueError\u001b[39;00m(\u001b[39m\"\u001b[39m\u001b[39mx must be a label or position\u001b[39m\u001b[39m\"\u001b[39m)\n\u001b[1;32m 942\u001b[0m data \u001b[39m=\u001b[39m data\u001b[39m.\u001b[39mset_index(x)\n", + "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/pandas/core/frame.py:3761\u001b[0m, in \u001b[0;36mDataFrame.__getitem__\u001b[0;34m(self, key)\u001b[0m\n\u001b[1;32m 3759\u001b[0m \u001b[39mif\u001b[39;00m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39mcolumns\u001b[39m.\u001b[39mnlevels \u001b[39m>\u001b[39m \u001b[39m1\u001b[39m:\n\u001b[1;32m 3760\u001b[0m \u001b[39mreturn\u001b[39;00m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39m_getitem_multilevel(key)\n\u001b[0;32m-> 3761\u001b[0m indexer \u001b[39m=\u001b[39m \u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49mcolumns\u001b[39m.\u001b[39;49mget_loc(key)\n\u001b[1;32m 3762\u001b[0m \u001b[39mif\u001b[39;00m is_integer(indexer):\n\u001b[1;32m 3763\u001b[0m indexer \u001b[39m=\u001b[39m [indexer]\n", + "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/pandas/core/indexes/base.py:3655\u001b[0m, in \u001b[0;36mIndex.get_loc\u001b[0;34m(self, key)\u001b[0m\n\u001b[1;32m 3653\u001b[0m \u001b[39mreturn\u001b[39;00m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39m_engine\u001b[39m.\u001b[39mget_loc(casted_key)\n\u001b[1;32m 3654\u001b[0m \u001b[39mexcept\u001b[39;00m \u001b[39mKeyError\u001b[39;00m \u001b[39mas\u001b[39;00m err:\n\u001b[0;32m-> 3655\u001b[0m \u001b[39mraise\u001b[39;00m \u001b[39mKeyError\u001b[39;00m(key) \u001b[39mfrom\u001b[39;00m \u001b[39merr\u001b[39;00m\n\u001b[1;32m 3656\u001b[0m \u001b[39mexcept\u001b[39;00m \u001b[39mTypeError\u001b[39;00m:\n\u001b[1;32m 3657\u001b[0m \u001b[39m# If we have a listlike key, _check_indexing_error will raise\u001b[39;00m\n\u001b[1;32m 3658\u001b[0m \u001b[39m# InvalidIndexError. Otherwise we fall through and re-raise\u001b[39;00m\n\u001b[1;32m 3659\u001b[0m \u001b[39m# the TypeError.\u001b[39;00m\n\u001b[1;32m 3660\u001b[0m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39m_check_indexing_error(key)\n", + "\u001b[0;31mKeyError\u001b[0m: Ellipsis" + ] + } + ], "source": [ "df.plot(...)" ] @@ -4131,14 +4212,14 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 120, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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I5cuXHypeRERERJ4sVcs7ARERERGRezl79iyA5eWN/1SjRg1cXV25evWqZez3338HID4+nvj4+HvePzc3t9RYycscbSnJoySvEjExMcycOfOeL0D8888/bY6X9B1/FJmZmRiGQUFBwX1PiNt6VsDqJHuJ6tWr33O+5IOEmzdvWo2X7P1LL71078T/P59nn332vrkAPP300zbXu5/w8HDGjRvH559/TlRUFCaTicDAQMLCwnjttdfo0aOH1Sl0EREREXmyqeAtIiIiIpXOnTt3AGjWrJlVKw5bWrVq9Uhr3N2O48cff2TatGlUr16duLg4OnbsiJeXF46OjphMJiZOnMgnn3xis4UHgKOj4yPlAH8/a/Xq1Uu9FPNB3a/g+zAF4ZJ8+vTpg7Oz8z2vdXd3/1drPahPP/2Ud955h7Vr17Jjxw527txJQkICCQkJhISEsG3btvvmKiIiIiJPBhW8RURERKRC8/b2BuD06dM2569cuWJ1uhvA19cXgLCwMOLi4h56zbLWunvOx8fHMvbDDz8AMHPmTIYMGVIqxlbrjsel5FlNJhOLFy8u99PKvr6+nDx5knHjxvHiiy+Way538/PzY/jw4QwfPhyAffv2MWDAAPbt20dsbCwxMTHlnKGIiIiIPA762z0RERERqdDat28P/FVUttUuJDExsdRY165dAVizZs1Dt8CAv4roa9euLTWem5tLSkoK8HdfbMDSF7pevXqlYi5evMjmzZsfOocSJS9ULCoqsjnv5eVFkyZNuHbtmiW38lSy9yUfAvzX7rc/ZQkJCeHdd98F4NChQ487LREREREpJyp4i4iIiEiF1qdPH7y9vTlz5gwTJkywtMwAyMjIYMaMGaVimjdvTu/evcnOzqZXr142T2xfv36d5cuXc+HCBZvrjh492qpP961btxg2bBjXr1+nZcuWhIWFWeZKXqj4zTffUFhYaBm/evUqUVFRpU6gP4xatWphb2/P+fPny3zhYskeDBo0yGah3jAM9uzZw6ZNmx45jwc1duxY3NzcmDNnDrNnz7bajxKZmZksW7bssaxXctL+6NGjNueTkpLYvn271c8NwO3bty0fENj6oEJEREREnkxqaSIiIiIiFZqjoyPLly+nW7duzJ49m+TkZEJCQsjLy8NsNtOjRw8OHDhAVlaWVVxCQgJXrlxh48aNBAUF0bRpU/z9/TEMg9OnT5OWlkZhYSHHjh2jdu3aVrGtW7fmzp07BAUF0bFjR5ycnNixYwc5OTl4enqWOlU+cuRIEhMT2bBhA/Xr1yc0NJTbt2+TmpqKk5MTb775JosXL36k57ezsyMiIoJVq1bRrFkz2rZti5OTEwCLFi0CoEePHsybN4/Ro0cTERFBQEAAQUFBuLq6kpubS1paGhcvXmTcuHF07tz5kfJ4UD4+Pvz000/07t2bMWPGEBsbS3BwMM888wxXr17l2LFjnDp1ilatWjFgwIB/vV5oaCheXl4cPHiQF154gcaNG2NnZ0dQUBBjx44lNTWVefPm4eHhQfPmzfH09OTatWvs3r2bixcv4u3tzQcffPAYnlxEREREKgKd8BYRERGRCq99+/bs2bOHXr16kZ+fT1JSEmfPnmX69Ol8//33NmNcXFzYtGkTK1asoFOnTpw5c4akpCR++eUXCgoK6N+/P0lJSTRo0KBUrL29PVu3bmXYsGEcOXKE5ORkiouLiY6OZv/+/QQFBVld7+/vz8GDB+nfvz9VqlRh3bp1pKWl8cYbb3Dw4EFLn+1HtWDBAt5++21MJhOrVq0iPj6e+Ph4q2tGjBjBwYMHGTJkCCaTia1bt5KcnMypU6do3rw5X375JSNGjPhXeTyodu3aceTIET788EN8fHzYt28fK1eu5NChQ9SuXZupU6eycOHCx7KWvb09P//8MxEREZw9e5Zly5YRHx/P+vXrAYiOjmb8+PE0bNiQo0ePsnLlSn799Vd8fX35+OOPSUtLs+rHLiIiIiJPNpNR1qviRURERET+x5jNZjp06ED79u0xm83lnY6IiIiIiDwknfAWERERERERERERkUpBBW8RERERERERERERqRRU8BYRERERERERERGRSkE9vEVERERERERERESkUtAJbxERERERERERERGpFFTwFhEREREREREREZFKQQVvEREREREREREREakUVPAWERERERERERERkUpBBW8RERERERERERERqRRU8BYRERERERERERGRSkEFbxERERERERERERGpFFTwFhEREREREREREZFKQQVvEREREREREREREakU/g8o5DrCDGCF+gAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, @@ -4156,32 +4237,14 @@ "ax = dep.plot(kind=\"bar\", figsize=(18, 6))\n", "ax.set_xlabel(\"départements\", fontsize=16)\n", "ax.set_title(\"nombre de mariages par départements\", fontsize=16)\n", - "ax.legend().set_visible(False) # on supprime la légende\n", - "\n", - "# on change la taille de police de certains labels\n", - "for i, tick in enumerate(ax.xaxis.get_major_ticks()):\n", - " if i > 10:\n", - " tick.label.set_fontsize(8)" + "ax.legend().set_visible(False) # on supprime la légende" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Quand on ne sait pas, le plus simple est d'utiliser un moteur de recherche avec un requête du type : ``matplotlib + requête``. Pour créer un graphique, le plus courant est de choisir le graphique le plus ressemblant d'une [gallerie de graphes](http://matplotlib.org/gallery.html) puis de l'adapter à vos données. On peut aussi changer le [style](http://matplotlib.org/users/style_sheets.html) des graphes. Un style populaire est celui de [ggplot2](http://www.statmethods.net/advgraphs/ggplot2.html) :" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": { - "collapsed": true - }, - "outputs": [], - "source": [ - "import matplotlib.pyplot as plt\n", - "\n", - "plt.style.use(\"ggplot\")" + "Quand on ne sait pas, le plus simple est d'utiliser un moteur de recherche avec un requête du type : ``matplotlib + requête``. Pour créer un graphique, le plus courant est de choisir le graphique le plus ressemblant d'une [gallerie de graphes](http://matplotlib.org/gallery.html) puis de l'adapter à vos données." ] }, { @@ -4216,7 +4279,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 121, "metadata": { "collapsed": true }, @@ -4227,7 +4290,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 124, "metadata": { "collapsed": true }, @@ -4238,7 +4301,7 @@ "writer = pandas.ExcelWriter(\"ton_example100.xlsx\")\n", "df1000.to_excel(writer, \"Data 0\")\n", "df1000.to_excel(writer, \"Data 1\")\n", - "writer.save()" + "writer.close()" ] }, { @@ -4254,26 +4317,13 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### Exercice 1 : créer un fichier Excel\n", - "\n", - "Il faut simplement utiliser la méthode [to_excel](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.to_excel.html)." - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "metadata": {}, - "outputs": [], - "source": [ - "df.to_excel(\"table_excel.xlsx\")" + "### Exercice 1 : créer un fichier Excel" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "On souhaite récupérer les données [donnees_enquete_2003_television.txt](http://www.xavierdupre.fr/enseignement/complements/donnees_enquete_2003_television.txt) (source : [INSEE](http://www.insee.fr/fr/themes/detail.asp?ref_id=fd-hdv03&page=fichiers_detail/HDV03/telechargement.htm)).\n", - "\n", "On souhaite récupérer les données [donnees_enquete_2003_television.txt](https://github.com/sdpython/teachpyx/raw/exos/_data/donnees_enquete_2003_television.txt).\n", "\n", "* ``POIDSLOG`` : Pondération individuelle relative\n", @@ -4302,36 +4352,221 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 126, "metadata": {}, "outputs": [ { - "ename": "HTTPError", - "evalue": "HTTP Error 404: Not Found", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mHTTPError\u001b[0m Traceback (most recent call last)", - "Cell \u001b[0;32mIn[21], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m df \u001b[39m=\u001b[39m pandas\u001b[39m.\u001b[39;49mread_csv(\u001b[39m\"\u001b[39;49m\u001b[39mhttps://github.com/sdpython/teachpyx/raw/exos/_data/donnees_enquete_2003_television.txt\u001b[39;49m\u001b[39m\"\u001b[39;49m)\n\u001b[1;32m 2\u001b[0m df\u001b[39m.\u001b[39mhead()\n", - "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/pandas/io/parsers/readers.py:912\u001b[0m, in \u001b[0;36mread_csv\u001b[0;34m(filepath_or_buffer, sep, delimiter, header, names, index_col, usecols, dtype, engine, converters, true_values, false_values, skipinitialspace, skiprows, skipfooter, nrows, na_values, keep_default_na, na_filter, verbose, skip_blank_lines, parse_dates, infer_datetime_format, keep_date_col, date_parser, date_format, dayfirst, cache_dates, iterator, chunksize, compression, thousands, decimal, lineterminator, quotechar, quoting, doublequote, escapechar, comment, encoding, encoding_errors, dialect, on_bad_lines, delim_whitespace, low_memory, memory_map, float_precision, storage_options, dtype_backend)\u001b[0m\n\u001b[1;32m 899\u001b[0m kwds_defaults \u001b[39m=\u001b[39m _refine_defaults_read(\n\u001b[1;32m 900\u001b[0m dialect,\n\u001b[1;32m 901\u001b[0m delimiter,\n\u001b[0;32m (...)\u001b[0m\n\u001b[1;32m 908\u001b[0m dtype_backend\u001b[39m=\u001b[39mdtype_backend,\n\u001b[1;32m 909\u001b[0m )\n\u001b[1;32m 910\u001b[0m kwds\u001b[39m.\u001b[39mupdate(kwds_defaults)\n\u001b[0;32m--> 912\u001b[0m \u001b[39mreturn\u001b[39;00m _read(filepath_or_buffer, kwds)\n", - "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/pandas/io/parsers/readers.py:577\u001b[0m, in \u001b[0;36m_read\u001b[0;34m(filepath_or_buffer, kwds)\u001b[0m\n\u001b[1;32m 574\u001b[0m _validate_names(kwds\u001b[39m.\u001b[39mget(\u001b[39m\"\u001b[39m\u001b[39mnames\u001b[39m\u001b[39m\"\u001b[39m, \u001b[39mNone\u001b[39;00m))\n\u001b[1;32m 576\u001b[0m \u001b[39m# Create the parser.\u001b[39;00m\n\u001b[0;32m--> 577\u001b[0m parser \u001b[39m=\u001b[39m TextFileReader(filepath_or_buffer, \u001b[39m*\u001b[39;49m\u001b[39m*\u001b[39;49mkwds)\n\u001b[1;32m 579\u001b[0m \u001b[39mif\u001b[39;00m chunksize \u001b[39mor\u001b[39;00m iterator:\n\u001b[1;32m 580\u001b[0m \u001b[39mreturn\u001b[39;00m parser\n", - "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/pandas/io/parsers/readers.py:1407\u001b[0m, in \u001b[0;36mTextFileReader.__init__\u001b[0;34m(self, f, engine, **kwds)\u001b[0m\n\u001b[1;32m 1404\u001b[0m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39moptions[\u001b[39m\"\u001b[39m\u001b[39mhas_index_names\u001b[39m\u001b[39m\"\u001b[39m] \u001b[39m=\u001b[39m kwds[\u001b[39m\"\u001b[39m\u001b[39mhas_index_names\u001b[39m\u001b[39m\"\u001b[39m]\n\u001b[1;32m 1406\u001b[0m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39mhandles: IOHandles \u001b[39m|\u001b[39m \u001b[39mNone\u001b[39;00m \u001b[39m=\u001b[39m \u001b[39mNone\u001b[39;00m\n\u001b[0;32m-> 1407\u001b[0m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39m_engine \u001b[39m=\u001b[39m \u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49m_make_engine(f, \u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49mengine)\n", - "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/pandas/io/parsers/readers.py:1661\u001b[0m, in \u001b[0;36mTextFileReader._make_engine\u001b[0;34m(self, f, engine)\u001b[0m\n\u001b[1;32m 1659\u001b[0m \u001b[39mif\u001b[39;00m \u001b[39m\"\u001b[39m\u001b[39mb\u001b[39m\u001b[39m\"\u001b[39m \u001b[39mnot\u001b[39;00m \u001b[39min\u001b[39;00m mode:\n\u001b[1;32m 1660\u001b[0m mode \u001b[39m+\u001b[39m\u001b[39m=\u001b[39m \u001b[39m\"\u001b[39m\u001b[39mb\u001b[39m\u001b[39m\"\u001b[39m\n\u001b[0;32m-> 1661\u001b[0m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39mhandles \u001b[39m=\u001b[39m get_handle(\n\u001b[1;32m 1662\u001b[0m f,\n\u001b[1;32m 1663\u001b[0m mode,\n\u001b[1;32m 1664\u001b[0m encoding\u001b[39m=\u001b[39;49m\u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49moptions\u001b[39m.\u001b[39;49mget(\u001b[39m\"\u001b[39;49m\u001b[39mencoding\u001b[39;49m\u001b[39m\"\u001b[39;49m, \u001b[39mNone\u001b[39;49;00m),\n\u001b[1;32m 1665\u001b[0m compression\u001b[39m=\u001b[39;49m\u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49moptions\u001b[39m.\u001b[39;49mget(\u001b[39m\"\u001b[39;49m\u001b[39mcompression\u001b[39;49m\u001b[39m\"\u001b[39;49m, \u001b[39mNone\u001b[39;49;00m),\n\u001b[1;32m 1666\u001b[0m memory_map\u001b[39m=\u001b[39;49m\u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49moptions\u001b[39m.\u001b[39;49mget(\u001b[39m\"\u001b[39;49m\u001b[39mmemory_map\u001b[39;49m\u001b[39m\"\u001b[39;49m, \u001b[39mFalse\u001b[39;49;00m),\n\u001b[1;32m 1667\u001b[0m is_text\u001b[39m=\u001b[39;49mis_text,\n\u001b[1;32m 1668\u001b[0m errors\u001b[39m=\u001b[39;49m\u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49moptions\u001b[39m.\u001b[39;49mget(\u001b[39m\"\u001b[39;49m\u001b[39mencoding_errors\u001b[39;49m\u001b[39m\"\u001b[39;49m, \u001b[39m\"\u001b[39;49m\u001b[39mstrict\u001b[39;49m\u001b[39m\"\u001b[39;49m),\n\u001b[1;32m 1669\u001b[0m storage_options\u001b[39m=\u001b[39;49m\u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49moptions\u001b[39m.\u001b[39;49mget(\u001b[39m\"\u001b[39;49m\u001b[39mstorage_options\u001b[39;49m\u001b[39m\"\u001b[39;49m, \u001b[39mNone\u001b[39;49;00m),\n\u001b[1;32m 1670\u001b[0m )\n\u001b[1;32m 1671\u001b[0m \u001b[39massert\u001b[39;00m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39mhandles \u001b[39mis\u001b[39;00m \u001b[39mnot\u001b[39;00m \u001b[39mNone\u001b[39;00m\n\u001b[1;32m 1672\u001b[0m f \u001b[39m=\u001b[39m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39mhandles\u001b[39m.\u001b[39mhandle\n", - "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/pandas/io/common.py:716\u001b[0m, in \u001b[0;36mget_handle\u001b[0;34m(path_or_buf, mode, encoding, compression, memory_map, is_text, errors, storage_options)\u001b[0m\n\u001b[1;32m 713\u001b[0m codecs\u001b[39m.\u001b[39mlookup_error(errors)\n\u001b[1;32m 715\u001b[0m \u001b[39m# open URLs\u001b[39;00m\n\u001b[0;32m--> 716\u001b[0m ioargs \u001b[39m=\u001b[39m _get_filepath_or_buffer(\n\u001b[1;32m 717\u001b[0m path_or_buf,\n\u001b[1;32m 718\u001b[0m encoding\u001b[39m=\u001b[39;49mencoding,\n\u001b[1;32m 719\u001b[0m compression\u001b[39m=\u001b[39;49mcompression,\n\u001b[1;32m 720\u001b[0m mode\u001b[39m=\u001b[39;49mmode,\n\u001b[1;32m 721\u001b[0m storage_options\u001b[39m=\u001b[39;49mstorage_options,\n\u001b[1;32m 722\u001b[0m )\n\u001b[1;32m 724\u001b[0m handle \u001b[39m=\u001b[39m ioargs\u001b[39m.\u001b[39mfilepath_or_buffer\n\u001b[1;32m 725\u001b[0m handles: \u001b[39mlist\u001b[39m[BaseBuffer]\n", - "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/pandas/io/common.py:368\u001b[0m, in \u001b[0;36m_get_filepath_or_buffer\u001b[0;34m(filepath_or_buffer, encoding, compression, mode, storage_options)\u001b[0m\n\u001b[1;32m 366\u001b[0m \u001b[39m# assuming storage_options is to be interpreted as headers\u001b[39;00m\n\u001b[1;32m 367\u001b[0m req_info \u001b[39m=\u001b[39m urllib\u001b[39m.\u001b[39mrequest\u001b[39m.\u001b[39mRequest(filepath_or_buffer, headers\u001b[39m=\u001b[39mstorage_options)\n\u001b[0;32m--> 368\u001b[0m \u001b[39mwith\u001b[39;00m urlopen(req_info) \u001b[39mas\u001b[39;00m req:\n\u001b[1;32m 369\u001b[0m content_encoding \u001b[39m=\u001b[39m req\u001b[39m.\u001b[39mheaders\u001b[39m.\u001b[39mget(\u001b[39m\"\u001b[39m\u001b[39mContent-Encoding\u001b[39m\u001b[39m\"\u001b[39m, \u001b[39mNone\u001b[39;00m)\n\u001b[1;32m 370\u001b[0m \u001b[39mif\u001b[39;00m content_encoding \u001b[39m==\u001b[39m \u001b[39m\"\u001b[39m\u001b[39mgzip\u001b[39m\u001b[39m\"\u001b[39m:\n\u001b[1;32m 371\u001b[0m \u001b[39m# Override compression based on Content-Encoding header\u001b[39;00m\n", - "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/pandas/io/common.py:270\u001b[0m, in \u001b[0;36murlopen\u001b[0;34m(*args, **kwargs)\u001b[0m\n\u001b[1;32m 264\u001b[0m \u001b[39m\u001b[39m\u001b[39m\"\"\"\u001b[39;00m\n\u001b[1;32m 265\u001b[0m \u001b[39mLazy-import wrapper for stdlib urlopen, as that imports a big chunk of\u001b[39;00m\n\u001b[1;32m 266\u001b[0m \u001b[39mthe stdlib.\u001b[39;00m\n\u001b[1;32m 267\u001b[0m \u001b[39m\"\"\"\u001b[39;00m\n\u001b[1;32m 268\u001b[0m \u001b[39mimport\u001b[39;00m \u001b[39murllib\u001b[39;00m\u001b[39m.\u001b[39;00m\u001b[39mrequest\u001b[39;00m\n\u001b[0;32m--> 270\u001b[0m \u001b[39mreturn\u001b[39;00m urllib\u001b[39m.\u001b[39;49mrequest\u001b[39m.\u001b[39;49murlopen(\u001b[39m*\u001b[39;49margs, \u001b[39m*\u001b[39;49m\u001b[39m*\u001b[39;49mkwargs)\n", - "File \u001b[0;32m/usr/lib/python3.10/urllib/request.py:216\u001b[0m, in \u001b[0;36murlopen\u001b[0;34m(url, data, timeout, cafile, capath, cadefault, context)\u001b[0m\n\u001b[1;32m 214\u001b[0m \u001b[39melse\u001b[39;00m:\n\u001b[1;32m 215\u001b[0m opener \u001b[39m=\u001b[39m _opener\n\u001b[0;32m--> 216\u001b[0m \u001b[39mreturn\u001b[39;00m opener\u001b[39m.\u001b[39;49mopen(url, data, timeout)\n", - "File \u001b[0;32m/usr/lib/python3.10/urllib/request.py:525\u001b[0m, in \u001b[0;36mOpenerDirector.open\u001b[0;34m(self, fullurl, data, timeout)\u001b[0m\n\u001b[1;32m 523\u001b[0m \u001b[39mfor\u001b[39;00m processor \u001b[39min\u001b[39;00m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39mprocess_response\u001b[39m.\u001b[39mget(protocol, []):\n\u001b[1;32m 524\u001b[0m meth \u001b[39m=\u001b[39m \u001b[39mgetattr\u001b[39m(processor, meth_name)\n\u001b[0;32m--> 525\u001b[0m response \u001b[39m=\u001b[39m meth(req, response)\n\u001b[1;32m 527\u001b[0m \u001b[39mreturn\u001b[39;00m response\n", - "File \u001b[0;32m/usr/lib/python3.10/urllib/request.py:634\u001b[0m, in \u001b[0;36mHTTPErrorProcessor.http_response\u001b[0;34m(self, request, response)\u001b[0m\n\u001b[1;32m 631\u001b[0m \u001b[39m# According to RFC 2616, \"2xx\" code indicates that the client's\u001b[39;00m\n\u001b[1;32m 632\u001b[0m \u001b[39m# request was successfully received, understood, and accepted.\u001b[39;00m\n\u001b[1;32m 633\u001b[0m \u001b[39mif\u001b[39;00m \u001b[39mnot\u001b[39;00m (\u001b[39m200\u001b[39m \u001b[39m<\u001b[39m\u001b[39m=\u001b[39m code \u001b[39m<\u001b[39m \u001b[39m300\u001b[39m):\n\u001b[0;32m--> 634\u001b[0m response \u001b[39m=\u001b[39m \u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49mparent\u001b[39m.\u001b[39;49merror(\n\u001b[1;32m 635\u001b[0m \u001b[39m'\u001b[39;49m\u001b[39mhttp\u001b[39;49m\u001b[39m'\u001b[39;49m, request, response, code, msg, hdrs)\n\u001b[1;32m 637\u001b[0m \u001b[39mreturn\u001b[39;00m response\n", - "File \u001b[0;32m/usr/lib/python3.10/urllib/request.py:563\u001b[0m, in \u001b[0;36mOpenerDirector.error\u001b[0;34m(self, proto, *args)\u001b[0m\n\u001b[1;32m 561\u001b[0m \u001b[39mif\u001b[39;00m http_err:\n\u001b[1;32m 562\u001b[0m args \u001b[39m=\u001b[39m (\u001b[39mdict\u001b[39m, \u001b[39m'\u001b[39m\u001b[39mdefault\u001b[39m\u001b[39m'\u001b[39m, \u001b[39m'\u001b[39m\u001b[39mhttp_error_default\u001b[39m\u001b[39m'\u001b[39m) \u001b[39m+\u001b[39m orig_args\n\u001b[0;32m--> 563\u001b[0m \u001b[39mreturn\u001b[39;00m \u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49m_call_chain(\u001b[39m*\u001b[39;49margs)\n", - "File \u001b[0;32m/usr/lib/python3.10/urllib/request.py:496\u001b[0m, in \u001b[0;36mOpenerDirector._call_chain\u001b[0;34m(self, chain, kind, meth_name, *args)\u001b[0m\n\u001b[1;32m 494\u001b[0m \u001b[39mfor\u001b[39;00m handler \u001b[39min\u001b[39;00m handlers:\n\u001b[1;32m 495\u001b[0m func \u001b[39m=\u001b[39m \u001b[39mgetattr\u001b[39m(handler, meth_name)\n\u001b[0;32m--> 496\u001b[0m result \u001b[39m=\u001b[39m func(\u001b[39m*\u001b[39;49margs)\n\u001b[1;32m 497\u001b[0m \u001b[39mif\u001b[39;00m result \u001b[39mis\u001b[39;00m \u001b[39mnot\u001b[39;00m \u001b[39mNone\u001b[39;00m:\n\u001b[1;32m 498\u001b[0m \u001b[39mreturn\u001b[39;00m result\n", - "File \u001b[0;32m/usr/lib/python3.10/urllib/request.py:643\u001b[0m, in \u001b[0;36mHTTPDefaultErrorHandler.http_error_default\u001b[0;34m(self, req, fp, code, msg, hdrs)\u001b[0m\n\u001b[1;32m 642\u001b[0m \u001b[39mdef\u001b[39;00m \u001b[39mhttp_error_default\u001b[39m(\u001b[39mself\u001b[39m, req, fp, code, msg, hdrs):\n\u001b[0;32m--> 643\u001b[0m \u001b[39mraise\u001b[39;00m HTTPError(req\u001b[39m.\u001b[39mfull_url, code, msg, hdrs, fp)\n", - "\u001b[0;31mHTTPError\u001b[0m: HTTP Error 404: Not Found" - ] + "data": { + "text/html": [ + "
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5 rows × 32 columns

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" + ], + "text/plain": [ + " POIDLOG POIDSF cLT1FREQ cLT2FREQ Unnamed: 4 Unnamed: 5 \\\n", + "0 0.889422 4766.865201 2 1.0 NaN NaN \n", + "1 2.310209 12381.589746 30 1.0 NaN NaN \n", + "2 2.740070 14685.431344 6 2.0 NaN NaN \n", + "3 1.775545 9516.049939 1 1.0 NaN NaN \n", + "4 0.732512 3925.907588 3 1.0 NaN NaN \n", + "\n", + " Unnamed: 6 Unnamed: 7 Unnamed: 8 Unnamed: 9 ... Unnamed: 22 \\\n", + "0 NaN NaN NaN NaN ... NaN \n", + "1 NaN NaN NaN NaN ... NaN \n", + "2 NaN NaN NaN NaN ... NaN \n", + "3 NaN NaN NaN NaN ... NaN \n", + "4 NaN NaN NaN NaN ... NaN \n", + "\n", + " Unnamed: 23 Unnamed: 24 Unnamed: 25 Unnamed: 26 Unnamed: 27 \\\n", + "0 NaN NaN NaN NaN NaN \n", + "1 NaN NaN NaN NaN NaN \n", + "2 NaN NaN NaN NaN NaN \n", + "3 NaN NaN NaN NaN NaN \n", + "4 NaN NaN NaN NaN NaN \n", + "\n", + " Unnamed: 28 Unnamed: 29 Unnamed: 30 Unnamed: 31 \n", + "0 NaN NaN NaN NaN \n", + "1 NaN NaN NaN NaN \n", + "2 NaN NaN NaN NaN \n", + "3 NaN NaN NaN NaN \n", + "4 NaN NaN NaN NaN \n", + "\n", + "[5 rows x 32 columns]" + ] + }, + "execution_count": 126, + "metadata": {}, + "output_type": "execute_result" } ], "source": [ - "df = pandas.read_csv(\"https://github.com/sdpython/teachpyx/raw/exos/_data/donnees_enquete_2003_television.txt\")\n", + "df = pandas.read_csv(\n", + " \"https://github.com/sdpython/teachpyx/raw/exos/_data/donnees_enquete_2003_television.txt\",\n", + " sep=\"\\t\",\n", + ")\n", "df.head()" ] }, @@ -4344,7 +4579,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 127, "metadata": {}, "outputs": [ { @@ -4368,35 +4603,62 @@ " \n", " \n", " \n", - " date\n", - " prix\n", - " devise\n", + " POIDLOG\n", + " POIDSF\n", + " cLT1FREQ\n", + " cLT2FREQ\n", " \n", " \n", " \n", " \n", " 0\n", - " 2014-06-22\n", - " 220.0\n", - " euros\n", + " 0.889422\n", + " 4766.865201\n", + " 2\n", + " 1.0\n", " \n", " \n", " 1\n", - " 2014-06-23\n", - " 221.0\n", - " euros\n", + " 2.310209\n", + " 12381.589746\n", + " 30\n", + " 1.0\n", + " \n", + " \n", + " 2\n", + " 2.740070\n", + " 14685.431344\n", + " 6\n", + " 2.0\n", + " \n", + " \n", + " 3\n", + " 1.775545\n", + " 9516.049939\n", + " 1\n", + " 1.0\n", + " \n", + " \n", + " 4\n", + " 0.732512\n", + " 3925.907588\n", + " 3\n", + " 1.0\n", " \n", " \n", "\n", "
" ], "text/plain": [ - " date prix devise\n", - "0 2014-06-22 220.0 euros\n", - "1 2014-06-23 221.0 euros" + " POIDLOG POIDSF cLT1FREQ cLT2FREQ\n", + "0 0.889422 4766.865201 2 1.0\n", + "1 2.310209 12381.589746 30 1.0\n", + "2 2.740070 14685.431344 6 2.0\n", + "3 1.775545 9516.049939 1 1.0\n", + "4 0.732512 3925.907588 3 1.0" ] }, - "execution_count": 22, + "execution_count": 127, "metadata": {}, "output_type": "execute_result" } @@ -4408,18 +4670,106 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "notnull = df[~df.cLT2FREQ.isnull()] # équivalent ) df [ df.cLT2FREQ.notnull() ]\n", - "print(len(df), len(notnull))\n", - "notnull.tail()" - ] - }, - { - "cell_type": "code", - "execution_count": null, + "execution_count": 128, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "8403 7386\n" + ] + }, + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " POIDLOG POIDSF cLT1FREQ cLT2FREQ\n", + "8397 0.502091 2690.961176 3 1.0\n", + "8398 0.306852 1644.574141 6 1.0\n", + "8399 2.501181 13405.104689 6 1.0\n", + "8400 1.382758 7410.905653 1 1.0\n", + "8401 0.343340 1840.132652 3 1.0" + ] + }, + "execution_count": 128, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "notnull = df[~df.cLT2FREQ.isnull()] # équivalent ) df [ df.cLT2FREQ.notnull() ]\n", + "print(len(df), len(notnull))\n", + "notnull.tail()" + ] + }, + { + "cell_type": "code", + "execution_count": 129, "metadata": {}, "outputs": [], "source": [ @@ -4456,7 +4806,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 130, "metadata": {}, "outputs": [], "source": [ @@ -4466,7 +4816,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 131, "metadata": {}, "outputs": [], "source": [ @@ -4475,7 +4825,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 132, "metadata": {}, "outputs": [ { @@ -4484,7 +4834,7 @@ "1" ] }, - "execution_count": 25, + "execution_count": 132, "metadata": {}, "output_type": "execute_result" } @@ -4495,9 +4845,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 133, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "((872, 5), (8403, 5))" + ] + }, + "execution_count": 133, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "import random\n", "\n", @@ -4523,22 +4884,179 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 135, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/html": [ + "
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villesecondes
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" + ], + "text/plain": [ + " ville secondes\n", + "0 AMSTERDAM 7883.371429\n", + "1 BERLIN 7922.315789\n", + "2 BOSTON 7891.061224\n", + "3 CHICAGO 7815.909091\n", + "4 FUKUOKA 8075.187500" + ] + }, + "execution_count": 135, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# étape 1\n", "# par défaut, la méthode groupby utilise la clé de group comme index\n", "# pour ne pas le faire, il faut préciser as_index = False\n", + "df = df_marathon\n", "gr = df[[\"ville\", \"secondes\"]].groupby(\"ville\", as_index=False).mean()\n", "gr.head()" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 136, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/html": [ + "
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villeanneetempssecondes_xsecondes_y
0PARIS201102:06:2975897937.028571
1PARIS201002:06:4176017937.028571
2PARIS200902:05:4775477937.028571
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" + ], + "text/plain": [ + " ville annee temps secondes_x secondes_y\n", + "0 PARIS 2011 02:06:29 7589 7937.028571\n", + "1 PARIS 2010 02:06:41 7601 7937.028571\n", + "2 PARIS 2009 02:05:47 7547 7937.028571\n", + "3 PARIS 2008 02:06:40 7600 7937.028571\n", + "4 PARIS 2007 02:07:17 7637 7937.028571" + ] + }, + "execution_count": 136, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "# étape 2 - on ajoute une colonne\n", "tout = df.merge(gr, on=\"ville\")\n", @@ -4547,52 +5065,471 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "# étape 3\n", - "piv = tout.pivot(\"annee\", \"ville\", \"secondes_x\")\n", - "piv.tail()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "A partir de là, on ne voit pas trop comment s'en sortir. Voici ce que je propose :\n", - "\n", - "1. On effectue un pivot sur la petite matrice des moyennes.\n", - "2. On ajoute ce second pivot avec le premier (celui de l'énoncé)." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "gr[\"annee\"] = \"moyenne\"\n", - "pivmean = gr.pivot(\"annee\", \"ville\", \"secondes\")\n", - "pivmean" - ] - }, - { - "cell_type": "code", - "execution_count": null, + "execution_count": 138, "metadata": {}, - "outputs": [], - "source": [ - "piv = df.pivot(\"annee\", \"ville\", \"secondes\")\n", - "pandas.concat([piv, pivmean]).tail()" - ] - }, - { + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + "ville AMSTERDAM BERLIN BOSTON CHICAGO FUKUOKA LONDON NEW YORK PARIS \\\n", + "annee \n", + "2007 7589.0 7466.0 8053.0 7871.0 7599.0 7661.0 7744.0 7637.0 \n", + "2008 7672.0 7439.0 7665.0 7585.0 7570.0 7515.0 7723.0 7600.0 \n", + "2009 7578.0 7568.0 7722.0 7541.0 7518.0 7510.0 7755.0 7547.0 \n", + "2010 7544.0 7508.0 7552.0 7583.0 7704.0 7519.0 7694.0 7601.0 \n", + "2011 NaN 7418.0 7382.0 NaN NaN 7480.0 NaN 7589.0 \n", + "\n", + "ville STOCKOLM \n", + "annee \n", + "2007 8456.0 \n", + "2008 8163.0 \n", + "2009 8134.0 \n", + "2010 7968.0 \n", + "2011 8047.0 " + ] + }, + "execution_count": 138, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# étape 3\n", + "piv = tout.pivot(index=\"annee\", columns=\"ville\", values=\"secondes_x\")\n", + "piv.tail()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "A partir de là, on ne voit pas trop comment s'en sortir. Voici ce que je propose :\n", + "\n", + "1. On effectue un pivot sur la petite matrice des moyennes.\n", + "2. On ajoute ce second pivot avec le premier (celui de l'énoncé)." + ] + }, + { + "cell_type": "code", + "execution_count": 140, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + "secondes 7695.161290 7815.909091 7883.371429 7891.061224 7922.315789 \\\n", + "annee \n", + "moyenne LONDON CHICAGO AMSTERDAM BOSTON BERLIN \n", + "\n", + "secondes 7928.560976 7937.028571 8075.187500 8133.393939 \n", + "annee \n", + "moyenne NEW YORK PARIS FUKUOKA STOCKOLM " + ] + }, + "execution_count": 140, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gr[\"annee\"] = \"moyenne\"\n", + "pivmean = gr.pivot(index=\"annee\", values=\"ville\", columns=\"secondes\")\n", + "pivmean" + ] + }, + { + "cell_type": "code", + "execution_count": 141, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " ANAISH DEPNAISH INDNATH ETAMATH ANAISF DEPNAISF INDNATF ETAMATF AMAR MMAR \\\n", + "0 1982 75 1 1 1984 99 2 1 2012 01 \n", + "1 1956 69 2 4 1969 99 2 4 2012 01 \n", + "2 1982 99 2 1 1992 99 1 1 2012 01 \n", + "3 1985 99 2 1 1987 84 1 1 2012 01 \n", + "4 1968 99 2 1 1963 99 2 1 2012 01 \n", + "\n", + " JSEMAINE DEPMAR DEPDOM TUDOM TUCOM NBENFCOM nb \n", + "0 1 29 99 9 N 1 \n", + "1 3 75 99 9 N 1 \n", + "2 5 34 99 9 N 1 \n", + "3 4 13 99 9 N 1 \n", + "4 6 26 99 9 N 1 " + ] + }, + "execution_count": 143, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "df = df_civil # on récupère le dataframe déjà construit\n", "print(df.shape, df.columns)\n", @@ -4636,9 +5881,187 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 144, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + " ANAISH DEPNAISH INDNATH ETAMATH ANAISF DEPNAISF INDNATF ETAMATF AMAR MMAR \\\n", + "0 1982 75 1 1 1984 99 2 1 2012 01 \n", + "1 1956 69 2 4 1969 99 2 4 2012 01 \n", + "2 1982 99 2 1 1992 99 1 1 2012 01 \n", + "3 1985 99 2 1 1987 84 1 1 2012 01 \n", + "4 1968 99 2 1 1963 99 2 1 2012 01 \n", + "\n", + " JSEMAINE DEPMAR DEPDOM TUDOM TUCOM NBENFCOM nb ageH ageF \n", + "0 1 29 99 9 N 1 32 30 \n", + "1 3 75 99 9 N 1 58 45 \n", + "2 5 34 99 9 N 1 32 22 \n", + "3 4 13 99 9 N 1 29 27 \n", + "4 6 26 99 9 N 1 46 51 " + ] + }, + "execution_count": 144, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "df[\"ageH\"] = df.apply(lambda r: 2014 - int(r[\"ANAISH\"]), axis=1)\n", "df[\"ageF\"] = df.apply(lambda r: 2014 - int(r[\"ANAISF\"]), axis=1)\n", @@ -4647,20 +6070,62 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 145, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 145, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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s8pjzZTfUyMXwPcdKnnehMSjZh5IwPt/j53hbatazYRjgf6fNCDUwktuGMAzv8/be/jqUnmzjhJmVPG/uvgeD+bhMkx3iFba16OKqVs4p0xCGQUF2QsD+9eANtro+fEtZWtb10TLYGAghSiXvAeFtgdioMNz6yvDZA28+DnyPe35mPBgGKKluc3sMSp5PJWF8vv3OyYoHywKlNdzx5mfGY//Js7KeizlZ8Zz7axNqYPDrfw53djdFhyEvLQ7l9WaXbeOiwnDrK/s5Y/j598fjls1l9vYZ2ysasG7bEewoLMDkMUbXB86Jp++LYD4uU2aHeE0g5C70Qg91fbQMNgZKiFLJe4Bv29ioMHQ4TXK9+TjwPe6lNW0uH/zebD6pJIzPt9+S6jbORMd2WwwD2c+F0Ik25x5f7d39+N8ZM++25h7X523Zy/td9jFgZXHthmL+G3SixvsiWI/LdGaHeE0g5C70wld1fWxswUZnjsFGtZ5bLW/L25S8B5y3DWHAOaNj463HQehx56NkDEqeTzlhfNvrXul4S6rbsPu+7wOA6HNR09LpMlkSM2CVt51Y4HnAymLrgXrR+jxqvS+C9bhMkx3idf7Qs8hfaFXXx5mWwUYtbkvrQpdKske298vuymbR7YQKELp739wtVig1BiXPp5IwvrvjlcqtaNEglE9xdSvvZMf2WDbJKEip5PnmOy4HYgFYG5rsEEIkaRls9OZtaZ0F8uT2pB6HjbuqUFY7XIBQKKsi9765U6zQeQx8+Z6Z4+Q3AlUSxldjvGoVbVRDQRZ3aUlpYUN/el/4AmV2CCGStCx+5s3b0joL5MntSTWqLK8zcy4XyqrIvW9KGowKjYEv31NeK78RqJImu5mJMQg1yG/WGWpgXMYrVLRR7uOghFgRyFAD43JWR0lhQ397X/gCTXYIIbJoGWz0xm1pXVBNjdvjexzyMvgL2fFRcltKGowqHUN7dz/y0uM4lws9n3LD+EWVzS5hXzEDVlZ2UUG5j8OI8BDZt1+QnYD37rjYZYIWamCwo7CAc5mSwob+9r7wFVrGIoTIomWw0Z3bkqrLIic7ItWE05FUvkGN7NFw08ahhpR56SYMWFnRQnZCt+Vpg1ElxfT4rL4sG80dvS71ZZyJhfEd69M0dPQoun0xL+w8gW87ejAvJxGTUmNFt104ORl1Z7swNzsRI6NC8exnJwS3vW3OOFw6IZHzmFc98UNsPVCP4mpu01AlOaf1S6Yi5bvnwtsNVQOl0CBNdgghimgZOJdzW3LrskhmYGQ04QTk5xvUyB7x3ZZUBoaPGg1GlRRB5HPXOxWw9A4AGKov88S/vxZtZOsYxj9y2ozrN5Zw6tOEyF/BkrSt4gwAoLTmrOS2nx5rAgB809gJqVW0yycl8U68b5iRZp/kuPMcX+zwXHgqWAoN0jIWIcSvya3LIpmBkdnMUW6+QY3sEd9tldeaZWdV1GgwyjdeJc1IbWwTHRsljWwdJzo2gwrmWyEMoyjfI5fUKpqcb04KPcdyc06eCqTGu2JoskMI8VtKm6TyZWCUNHNUmm/wJHskdltysypqNBhVUgRRKTmNbN/bX6com8MnLyPO4324Y+PuKtHfiz3HSnJOngqGQoO0jEX8ViDXhCDyKG2SypcFUtLMUWm+wZ3ske113ShRV0WIkmzN3ppWzrjExuv8fnPetqmjFw9sOyJ4W0J2ft2EASvr8tjYbu+zr5uUPwgAVhaMQ3v3eRRkJSBhZITijJEadhw+g36r1e0c2erLsu3Po94ycv6GJjvE7wRDTQgij7tNUh2zQFL5EyVNIoXyDXKyR0rrqghRkq1Zt+2o/f8d30OO45V6v9m2rWnpdGu8r5bU4tWSWvt+H1s8BQ9uP+rx47Cl+BSAoXxPbKRvPuq+aezEN41DAWZ3cmS2SYeeMnL+ipaxiN8JhpoQRB4ldVmEiNVVMX33Ye64rZY1gPiI5U/4xiu3ZowaGSVP69MUV7Xiug17ZD0OSjjnhXxBaY4skPIyekCTHeJXgqUmBJHP0yapYnVV2rv7Vc3hiI1Bbl0VsfyJ83iV1IzxNKMkdVtyzq7YsipyHgd/JDdHFmh5GT2gZSziV4KlJoQaAjnT5HzfxJqkql0Pxxv5BjVr3CjJGAld31aTRyo3dKqtC/tr2lB6sg3x0eGi2z63LBct53pRUj207ebvlpn0IM0UCXNPP6aPjcOM8aNEa+fw2bJyJr5usODLEy0wMEBxtfBX2IVyZO+V1aG0RrwGEXEfTXaIXwmWmhCeCORMk9h9c26S6u16OGrmG9SscaMkY8THuSaPmJ++VoZBmV2/lexXa/XtQ5O6L6va8GWV/I7nNuPiR2D+hCSsnp+Nospm0cmOc47MuU6UnBpERDlaxiJ+hda4pQVypknJfdOyHo6nlNa4UZIxUtzvyqkmj9C2AGRPdADI3i9ffRk9CzUwLv29hDJVoQbGJUcmt04U8QxNdojfoTVuYYGcaVKaH9GqHo5a5I5BScZISWZHqCYPn8xE5Wcc5PZ52lE41+P6PVoasLKcHE5NS6dgpmrAynKeH6V1ooj7aBmL+B2+fkFKMhqBzB8yTe4+P0rum9S2e2vaeOvLfHG8GRX1wv213L0fjj2dhPIYcrNASu6bmlkgx7o1xdWtONGszsR55ZwMtPf0cx6b11fNwoZdJ7CnqhUnms6htUvehM1XHHM4SnqwFVWKT2ac8z3EfTTZIX5HKIvx2OIL8eD2rwIyqyKXnjNNnmaJlNw3qW3XORS/U/raUXI/+Ho6rdt2BDsKCzB5jJF3bFJZICX3bUaGeI8lJVkgx7o10eHqLQps+a7Gji2r8vTSafj5W+U+qXjsLsccjtIebHL3SzxDy1jE7whlMa7bUBywWRW59JA/EeJplshbvZuUvnaU3A++nk4DVhbXbiiWHJeQzMQY2X2eKuqE+2h5ku/pPq8grKNAe3c/7njjoF9NdABuD6zMxBjRbeVklwD5daKIPDTZIX5FqpdMIGZVlNJD/sSZWlkib/RuUvLaUXI/xHo6DVhZbD1QLzk2PkWVzbInA2J9tDzJ99h4obemboQo+HR0zNa8t79OdFs52SUldaKIPLpexhocHMT//d//4c0330RjYyNSU1Nx22234cEHHwTz3V9sLMvid7/7HV5++WWYzWYUFBRg06ZNyMnJ8fHoiTe4UzcE0EdWRSt67HOjVpZISbbGedsQhsEfPz2ueOzuZoFKT4p/hXlb+Wk0dPQozpxJ9QNT4oPDZ8BiaLnEnbMpdy3IQaoxCsXVrejuHcCnXzerNjY+aaZIsADyMxMwdlSU4no4SvxtxUwcO9OBPVWtMDAMiquFn8/yunaMiYvyqJfXfQsvwCDLysqLEeV0Pdl56qmnsGnTJrz22mu48MILceDAAaxcuRJGoxG//OUvAQBPP/00nn/+ebz22msYP348HnroISxatAjHjh1DZGSkj+8BUZs7dUOA4Ky/o6c+N2pliZTkZdTqNeVuFuiCJPHljNKasyitGarHYooOw5urZuOpjysl75tUPzAl/uQwWXCnf5Ttg/mGGWkoqmz2+mTHVg9n68HTmDIm1qu3tXFXFcpq5WVrPj/W5PHE66ppqbp5vwYiXS9jlZSU4LrrrsNVV12FcePG4Uc/+hEWLlyI/fv3Axg6q/PnP/8ZDz74IK677jpMmzYNr7/+OhoaGrB9+3bfDp54hVhug68+hx6yKkS9LJGndXaU4su1yM3LVLfIXzpt7+6XnRsSq+PCJ9TAyMouWXoHZG9r43gGQum4PPV1wzmv7r+8zix722MejsX5dUbUp+vJzpw5c7Bz504cPz506vnw4cPYs2cPrrzySgDAyZMn0djYiAULFtivYzQaMXv2bJSWlgrut6+vDxaLhfND/IdQboOvPoevsypkmKdZIjXq7CjlnGtRmpdRYsDKyr5vSpacBqws8tLjZG87OXWk7H075o6UjstT7jy30WHyP/KU7F/t1xlRn66XsR544AFYLBZMnDgRISEhGBwcxOOPP47ly5cDABobGwEAycnJnOslJyfbf8dn/fr1eOSRR7w3cOJVYpkUvWVVyDBPs0Rq1tlRwnG/auZl3B2DO/dt9WXZ9lo6RZUteLXklOC2CyYn4/lleTjV1oW39tbic5GlqeLqVnttHDUfc29ZOCUFS/PGoryuHbWt3dhWccbXQ7ILplyhL+h6svP3v/8db731Ft5++21ceOGFOHToEO6++26kpqZixYoVbu933bp1WLt2rf3fFosFaWnUeM3fCGVS9JRV0Rs1Ci56ug93nx816+woEcIw2F3ZjHHxI1TNy7g7Bnfum+25Gp8wAgZAdLKTl26yN/c0STT3LMhKsBdMzJH4yrUeFGQl4HCdGXur2zA2LsrXw+Fo7ujFczuPuwSUiyqbcei0vEKXRBjDSlWS8qG0tDQ88MADKCwstF/22GOP4c0338Q333yDmpoaZGVloaKiAtOnT7dvc+mll2L69Ol47rnnZN2OxWKB0WhER0cHYmO9G3ojxBfUaA6qhwajt27ej+KqVs6yQQjDoCA7Aa+vmsXZdtlLe1FaI93UMYRhEBsVCkvPAGe/BgydjXL8OvYlOYmoqGvHub4BWeONjQyFpVfetgYAfNVrnPdxSU4i+get2H/yrKzlk7z0OGxbXcC57HuPfIKOHtdxxYSHoHfAKms5KoQBGIaR3DaEYRAVzqCzT15tnhAGGJT5qTQiIgRdfYOythV6fD0dQ2xkCCy98sYg9HoINXAfR1N0GDb9OA8/f7uc8/qzfSWdGoQOk/v5revMTnd3NwwG7hBDQkJgtQ69ZMePH4+UlBTs3LnT/nuLxYJ9+/YhPz9f07ESomdqNAfVQ4NRJbkfoZxtXBR3YiaU9zJGh8HSw607U1zViu7z8iYvQ+T/LSn0Qez84Vhc1QqGgez+UYfrzS6XTUjm/1DoPD+oIJMEWdsWZCegp19+EUK5kwwAsic6gPyJjik6DNHhShY9lISyhesuOWrv7sfNf9tHDUJVpOtlrGuuuQaPP/440tPTceGFF6KiogJ/+tOfcPvttwMY+qvi7rvvxmOPPYacnBz7V89TU1OxePFi3w6eEJ2whXWdOYZfpZaV1NiHGuTmfmpaOlEiUBfF3NOPN1bNwoCVFcx7hTAMbn1lv8t1lQZR5f7Fr8Qgy6Kkug277/s+gKGsx1enO/DHz/hrCA2yQ0FiW7ampqUT+0+dVX1cju5fNAGTUmMxLn4E9te0efz1f2+74aKxGDsqCnnpJlitLFaI9AhzJvfM3dC2nr8ebA1CaUlLGV1Pdl544QU89NBDWL16NZqbm5Gamor/9//+Hx5++GH7Nvfffz+6urpw5513wmw2Y+7cufj444+pxg4h31GjoJ/eGoxK5X6kxjtgZTF/QpLL5basSrxEVkUPTrV12fM7UsHp4upWWK2sZvftHwfrEX7YgLnZiWjt6vP67XnqyBkzxo4ayvD4KoSuBDUIVU7XmR2tUGaHBLKalk5c9kyR4O933/d9WWd2PN2HlpSO17lhpz+YmWGSXfTOwAB+dNd8akR4CLrOq39GTk1vrJpFk53vBERmhxDiOTUK+um5wSgfpeOVO9EJYRhNC+eJUVL0jiY68nlroiNU+NQdNNFRjiY7hAQBNZqD6rHBqBi54xVr2OlsKMxcILs7uFzutGrwtJBdoPDW1DMmIkTV/QkF4d3hbhPZYEbLWKBlLBs1arDoQaDcD29Qo+Cip/tQ8vyose0Xx1tQUd/OqVPiuO1zO49je0WD4H7zM0fh4qx4lzonX55oQXldO/bVtKGkWnngtyBzFGrbu5GfmYAfThuNlQpCsWRYfuYoXDg6FnuqW5E+agQ+PeZeI05n91yRg7x0E8rr2t1uIrskdwwyEqJdXjsv7jph/1adO6+dxbmp+PNN+vwjQ2tyP79psgOa7OihfooaAuV+BCpPm3gq3faxxVPw4PajnMvzM+O/+4AZ/qbWBUkxON7cKes+8I3hvf11+LVDA1CirchQBr0D6n+MOeZipDJgclySk4iff388btlc5nE27A8/mmb/dl2wo8mOAsE+2VFSqE3PAuV+BColz48a2/IVCuQTwjCyl4SExpD9m3/7VbiZSDv15FWcf+c++qlL3RsllLzOxIQaGFQ98UOP9xMoKKBMZFHSXFHPAuV+BCo1mngq3ba9u1/Wh4vSho98r6cdhQUuwWU9HVxD9JGp9ivOTU49megAyl5npugwbL51hstrKtTAYEdhgcC1iBhd19kh3qe3+inuCpT7EajkPD8sy6L2bDeaOnolt/VGw08lHMc7Ln4EJo8xouqJH2LrgXoUV7eiICsBDR09ePazEz4Zn7O/3TYTXzdY8OWJFoyJi8I/yvXTAFOvtK5NNCczHrOzRnHyPc6vKXeWrijDOIQmO0FOSXNFPQuU+xGopJ6fjbuqZNeM8VbDTyU27q5C2anh8dqyPDfMSLN/IBVVCncL15rzeIm0HRUNosF1tV2fN4Z3MuP4mlKCMoxcejrTSnzA3+qnCAmU+xGoxJ4fU3SY7JoxoQaG81yK7VcpudcJNTAorzVzLuPrEXbphCRd1OThGy+RJreXVqiBkfXaEdsm1MCoHjjWQy87PaHJDvG7+ilCAuV+BCq+5ycvI052tgYYavPwpVOfJb79Tho9UvH4Jsu8zoCVlZ0n0kNomW+8eqWDuaFiA1YWeelxnMvyM+MxJyuec1lBdgLeu+NiTXI4lGF0RctYRHZzRb0LlPvhC56u68u5Pt/zc6qtS3F9Gee+QLb9vldWh9KaNnte5miDRdF+F1yYjOd/nIdTbV1o7OjFOje+Tv7B4TNgAeSlm3Qx0fEHYQYgKynG3kdLy6Ujtay+LBshDONSz4nvWKQ0h+POe5MyjK5oskPspJor+otAuR9a8HRd353rOz4/7lS+yEs3cf5d29aFxRuK7d+W2V7RgBHhyqvf5qWb7GOraZFXd8fZnxwCye5URQ5G/Vbgm8ZOfNPYiagw/1xscM6c2d4DQsciOTkcT96blGF05Z+vLEKIKjxd1/f0+kKZGyGm6DCXvkCOEx0bpf2NnPebmRjjcd7G0jvg0fWDUU+/3KSMvjhnztTIxnjy3qIMoyua7BASpDxd11crF8CXuZk1zgRjFPevV1N0GHYUzuVcVlTZ7HH9E6H90jJUcFPy4ah2NkaN9xZlGLnoPCshQcrTdX21cgG2zM0Xx5tRUW/mZB5s/aecewvZHDptltw/nyW5qfi2oxfzchKxen62/XJbPqKoskXk2uqIjQwBC2D62DgMWFmU1ijvkUS859rcVOQkjsSeqhacaDqH1i7lk2qh94BUDkeN9xZlGLloskNIkPJ0XV+tXIBYNmFeTiLvJMdm+tg4WbfhbNt3IdjSmrN4+csavHn7bDz1SSVnDN5m6R1aavuyqk1iS+ILxxo6PA5LO78H5OZw1MzcUIZxCC1jERKkPF3XVysX4Ek2QY1aNu3d/bhuY7HLGEhwq272vDq383tA7ms9MzEGJoEQsik6jCYvbqDJDiFBzNN1fU+vr0ZuSI1sjT/VorGJDqfDtzep8Xpw7q+lpOebUBatvbs/KOvkeIqWsQjxgJ77zrhb+0bJ/RjO27S41BgRGoPjZVLZhL01bbzjsu1Dqo9WIFt4YQqO1Jvtj+GAf36RKaC9tbfWXk8nYWSE6LaOr3V3Mzt6Ph75GsO6U+giwMhtEU+IjZ77zmg5NqHbemzxFDy4/Sjn8jlZ8WBZoLRmOKMyI8OEAzJ7Yg3t90I8uP0rTbM1hKghxAAMypyQzhxnEu1ltvu+73MmM3o+Hnmb3M9vmuyAJjtEuVs370dxVSvnlHQIw6AgOwGvr5rlw5FpOzah24qNCoWlZ0ByKcBb2xKiVyEM4/ZrXeh9rOfjkbfJ/fymRV9CFNJz3xktxyZ2W3L7Xdm2zcuIk72tLyc6lJMhjmIilFfqzkoU/6YV4PC+cOq5xZeH0/PxSE8os0OIQnruO6Pl2KRuS4nV87PtvbKaOnrxgBt9qbxlSW4qMhJGIC/dhH+Wn/bL3k1EPfcuvABWlkVeugnlde141qFFiByTxxjx11tnynqtr75s+H3hzZo8wYAmO8Qv6Cl4p3bfGTXvm7tjUzIG27YhKnaoHhc/AnVtXfjfaTNGx0apt2MVZCXGYOC7v5rzx8fTZCfIXT0t1f4esbrxTcCCrAR7T7jUOPHX+rj4EZL946gPljw02SG6psfgXWZiDPIz4zlBW5v8zHjZExZv3Ddb7Ruh9XvnsSkZA9+2pugwdHT3wzF3GcIwGBkZCnOPvIqzuWlGLNnI7W8VauD/dtHIiBCc61PW98pTf/j0uP3/hWqfEP1jAHi6ADprnInzHrp0QhLiosJkv9ZDDMAHh7/Fr/7xP/tlpugwWHr6MegwuBCGwezMUfjdv76SfG8qfc8HK1qAJrrmaaNJbxHqWymznyUA7903JbVvlIyBb1tLT7/LpKggOwE5STGyx3vkjMWlpojQ16i7++VPdMZL/MXrDk/7cBHfkTvRCTUwiBHIZlU2dbpcpuS1Hh0W4vIe6ujuR2yU63uIZSH7vUl9sKTRmR2iW7bgnTPH4J0v/mqpaelESTV/if+S6jZZ4/LmfZNbO0fJGIS3HZoAvLFqFgasrP20+2XPFMker5KigGJf3b3horE43d6NeTmJ+MGUFEVjIMHtp3PHo7WrDwVZCUgaGYEVW8p4t+vo6ceXJ1rstaRqWjpRJrN0AgDes5JWyH8PCR0fqA+WNJrsEN1SM3inZi5GjXFpESrk64mjpKCf4xiktj3d3oMUY6Ssbb3lTHuP/f99NQbin061dSEmcujjUKq57M6vm+yTEjVfZ0reQ0LHB732wdJD5pImO0S31AjeeSMXo8a4tA4V8j0OMzJMsscgNd51Dt8omTlOfL/eUvJdhoq6hxOlPv+6GQCwvaJBMnj/akktXi2pBaDua93xPaTkvalnespcUmaH6JYajSa9kYtRY1xqNdGUi+9xqKgzC24famA4Y8hMlJ9LKK81e9yckxBfGVSQYnbnte78nudTUWeGKTpMs+ODt+gpc6n7yc64cePAMIzLT2FhIQCgt7cXhYWFiI+PR0xMDJYuXYqmpiYfj5qoxZPgnTeLbakRCNQqVCj2OAgZsLL40uGvsff218m+vUGWVaU5JyF6585rffLokbL2y1ds059Cx3ordqj7ZayysjIMDg6Huo4ePYorrrgCN9xwAwDgnnvuwUcffYStW7fCaDRizZo1WLJkCYqLi3015KCg1RqsJ8E7b+Zi3BmX82OmVajQ3VxBeV27PYhZepI/kE0IUWbBhcn41Q8moqK+HSEMgz86lDZw5lhs099Cx3ordqj7yU5iYiLn308++SSysrJw6aWXoqOjA5s3b8bbb7+Nyy67DACwZcsWTJo0CXv37sXFF1/siyEHNF+twboTvNMiFyNnXFKPmbdDhVKPg5C89OHcABXTI0Qdnx9rkl112TbB8adJjo3eih3qfhnL0fnz5/Hmm2/i9ttvB8MwOHjwIPr7+7FgwQL7NhMnTkR6ejpKS0t9ONLApac1WCla52KE+PoxE3schPIGpugw+1kdALhpVrrXxhdqYGTlGAgJBMcazklu42/ZHD56Of7a+NVkZ/v27TCbzbjtttsAAI2NjQgPD0dcXBxnu+TkZDQ2Ngrup6+vDxaLhfNDpOltDVYOXxfb0stjJvQ47CgscKkKbIoOw47CuZzLiiqbvTa2ASvr0vBQTq6BEH8kp5GtP2VzxPj6+OtI98tYjjZv3owrr7wSqampHu1n/fr1eOSRR1QaVfBQew22qLIZh06bkZdu4pxF4ONuRsjbuRipcfly3dp5bEKPQ8XDC/HliRaU17ULPhdStUc8tfqybHx1pgPFVa2Yl5OI1fOzAQC5j3yC9p4BjIoKxTM352KlQLE3QvzdvVdcACtYWcdDf6GnYod+M9mpra3F559/jm3bttkvS0lJwfnz52E2mzlnd5qampCSkiK4r3Xr1mHt2rX2f1ssFqSlpXll3IFErTXY2rYuLN7A7YVkO5uQFs+9DbUyQmqve8sdly/WrcXGJvQ4zMtJFD3ATh8bp/o4Hf301TL7V35La87iD59Ucsr7n+0ZoIkOCWjPfDYcVPZ1/z+16SF35DfLWFu2bEFSUhKuuuoq+2UXXXQRwsLCsHPnTvtllZWVqKurQ35+vuC+IiIiEBsby/kh0jITYwQbIZq+C9rK4TzRAYbKpV+7YY/Ltr7OuwiROy5frFt74zG7dEKSV5tgOtc2oS+uE3+iJHMmZ1s9HOMCjV9MdqxWK7Zs2YIVK1YgNHT4ZJTRaMSqVauwdu1a7N69GwcPHsTKlSuRn59P38TygpqWTsFGiO3d/bLyJ0WVzaL7cKztope8izOl49Jy3dqbj9mOwrnU9ZsQJ5tvneHy/hbjXDuHj6+PcYHIL5axPv/8c9TV1eH22293+d2zzz4Lg8GApUuXoq+vD4sWLcLGjRt9MMrAp0b+RCr74VjbRer2Pjh8Bizg1cwPH6WPg9S6Nd/YhPJMfNsq6Xe1t6bN7bpAafHRqHh4If5+oA4l1W2Ijw7H5uJTovsgJNAsmpyM2rNdmJudiAevngwAuHxyMt4rq0NpjfT7wrF2TlNHLx5waBPh7FRbF1iW9XlfqUDgF5OdhQsXghVIsEdGRmLDhg3YsGGDxqMKPmrkT6SyH461XaRu708OtSq8nflx5O7j4LxuzTe2WeNMqGw6h46eAftlpugwvLlqNp76uJKz7ZyseLAsUFozXPBPqlePY/8docdB6DF7bPEUPLj9KG/3c0KCxSfHhir0f9PYieNNnbh/0QW45ZX9gmesnTnWzqlp6RTdduOuKk5X9UDL8mjJL5axiD6okT+5dEKSYG2XUAPDOYshdHt8tMz8qJVd4hvb/lPtnIkOMHTfrttQ7LJtSXUbZ6IDDPXqkUvocRB6zK7bsMflckKCWXFVKxZvLJE10eE7ToodU03RYSh36l9HWR730WSHKOJp/qSmpVOwl8yAlZWVdxGiVeZHjeyS0NiEDFhZWdvK3Z9tW+fHQewxa+/uV7R/QgKdkt5YQsdJvmNcXkYc7/uNsjzu84tlLKIfntZN8DTvUlTZgldLTgleX0nmx931cHezS0qyNVo61daFurYuHDptpkrGhKho5ZxxuGRComROz/mYeqqtS7TUwt6aVrezd8GKJjvELe7WTfA072IARCc7SjI/7q6HK70PfBkYqWyNlu56pwKW3gHpDQkhilw2KYmzNC+3BpZQRtVm3bajLteXm70L1swPLWMRTXma+xGr9+Lcz8lb6+FK7wNfBkZJtkYJd87M0ESHEPU5H48Az+tz8VGavQvWzA9NdojmPM398NV74evnJHRbaqyHy70PYhkYb8h16jFFCPG+EeEhnH/zHY/UqM/FR2n2LlgzP7SMRTTnae7HVu9Fqp+T0G1JrYfLqRck9z5okc1xzAVI3TdCiPruvDQTeekm0eORp3nFxo5eTukIsev7siefXtFkh/iMp/1SrDK/BeF8W1Lr4SEMg92VzbImYUL7soUCQzTI+04aPdzuRCpPRAhRX166CQ3tPTjZ2oVUYxTvNlLvTaHjjtyaPI5ZQV/05NM7hpU68gcBi8UCo9GIjo4O6pPlB5Q0EhVy6+b9KK5q5ZzmNWDorynH/apReM8YFepSOwcAQhjXnlBKOe/jkpxE9Jwf4ASvxRgYQMGckZCgMCLcgK7zVlnbjgwPQc+AlfMV9FADgx2FBZg8xsjZ9urnv8DRhnMu+4gJZ9B5fvj6QscdvuNWCMOgIDsBr6+a5fa2/kzu5zdldojfUdJIVAjfergxOgyWHu5+1Si8xzfRAYAR4fJOrIYaGIyICOH9nfNkqbiqFSeaxf8CdMQA1O+KECdyJzoAcO78oEutnQEri2s3FLtsyzfRAcCZ6ADCxx0leUcte/L5A1rGIn5FTiNRqT5ZgOt6eAjD4NZX9rts5xjoc+xFxdcywVZ4Ty5Ln/C3oO5fNAHHm8+hICsBSSMjsEJmDmeQZWHukT+GQRb4zQ8nIcUYifK6dtS3deMf5WdkX58Qwm/AymLrgXrcMCMNAPDizhMS1xjGd9wBlOUdPc1GBhqa7BC3aF2oytYYs7ZVPHhXXteOMXFRssdmWw/fXdksup2S8J8aJqXGYvX8bADAczuPe/W2iqtbMSoqHCU1rTArmKwRQsQVV7faJzvF1cpbrQgFiZWkTzzNRgYKmuwQRbQuVMWXzxHz+bEmPOvQINQbhQK1CAE73p5U81RPba9o8Or+CQlWBVkJnP8vrTmr6PpyCpQGc6FAJSizQxTRulCVkolOqIHBMac1cW8UChRrBBpqYDxuuRBqYDi3d+mEJNnXpXYPhOiH7awOAKy5PEf29ZQUKA3mQoFK0GSHyKZ1oSqxfI6z2MhQ3maZ3ioUKDSuASuLvIw4WWMWMmBlOQ1Nlaz1jzVFenTbhAQyg8Z/Czged4oklsodKS1QGqyFApWgZSwim9qNNflyP46XHTptFr3+FZOSMCIyFAVZCUgYGeH1QoG2sTV29IruZ/X8bIQwQEW9GQaGwTOfKs/cODY0lVrrT46NgCk6DHOzE/FVQwdqz/Yovj1CgsFdC3IQyhiwp6oFY+KivB7G31vTZj+WSB3PluSOQUZCtGpFCQkXTXaIbGo11uRbd87PjAfDACXVbfbLpqSK1zz67Ouhv5S2VzRgRoZ4Y00lRbScA3184xWzcXcVyk7Jq3MjxLGhqdRaf5OlD02WPnzTKP8r54QEo8+/asKRBotmt+dY8VjqeLatYnjixXfspEKBnqFlLCKbWo01+dadS2vaOBMdAPj623MIlXneuaLODFN0mNsNRsXwjZeP/XGQ0eRTKlvj+JedkrV+QoKNkpzasW/569xoMQYlxzMlzUHVOMYFA5rsEEU8bawptO7MZ5BlMWBlERspfQLSVuPGOS/jaREtJePNTed/HPhIZWs27q7ijIEQwm9y6kjZ23qrAa+cMSg9nsltDhrMhQKVoGUsIsk5W6O0sabjurU7NWqeW5aLFksvSmraEB8djs3FpwS3XT0/2z4mx8yNrU6PWNNQvvsrNd4rJieh/mw35mYnoiAnQfRxWJI3Bt+aezAvJxFfnmgRzdZ8eqwRk1Jj3X7MCAkWCyYn44Kkkdh3qg2xEWE41uidszdSY/jJxRkolXGMem5ZLkINDMrr2iUzfULNQb843oyKennHMzKEemOBemMJkVvToaalE5c9UyRrnzPHmRTnWWZmmGT3etp93/c5BwclfbT47u+MDBMOyLxtJRgAct947jxmhBDtxESEoLNvUNa2jscoqWOn8/GM6uy4ot5YxGNyazoIrSXzKa/lz9bwEcoCCTFFh7msWyvpo8V3f4WyQFLjlqLkLww5GSBCiO/ImegI1exSksOhOjvuo8kO4aW0pgPfWjIfe7YmPY5zeX5mPOZkxXMuE8oCCWnv7nepayHVR8tG7P7yZYHEpI+Kkr2tHN7KGRBCXEWHy/9YHBHO36CXj6cNO6nOjmcos0N4Ka3p4FyjpqmjFw84fO3S2erLhmvROK47f3G8BRX17chLN2HAyopmYKTGJVXXoryuHQ3tPSg92YZR0eGi266en41mSy9Ka9pwpN6MapEeXSnGSLyychZOtXXhrb21+Pxr+cXECCHau2JSMkZEhqAgKwHF1a2iLVRy04zISBiBgqwENHT0cNrTOLttzjhcOiFRsGaXYw5SKIdj27ZJor4X1dkRR5Mdwsvdmg62GjVS3yByrsnDV2dn5jjx2jlS45LqKfXc5ydglXnS5K53KmDpFe5S7mjed6efxyeMQHNHL012CNG5z75uAjBUs+uCpBjRbSvqO1BR34HtFQ2YOkY843n5pCTOxIUvczMnKx4sO1R+w+aSnEQ8tngKHtx+VHZ9L6qzI46WsQgvT2s6KK3Jw1dnp7zWLLsuBeCa2bl0QpLo9eVOdADInugAsHcrB4CbZqXLvxFCiM9Vt8hfDjrWIFw7xxQd5vJNKb7MTUl1G2eiAwzlcK7bsEd2fS+qsyONJjtEkKc1HZTU5OFjq0shl3Nmp6alU9H11eI8BkKIPkSGSf/xpCQjJ1Q7x/aNT0dKa4zJPU5SnR15aBmLCBqu6TCco7H9pcLX14rv8tdXzcJ7ZXUorWmT1cPKU479uaR6WHlzDHVtXTh02kxdyAnRkdw0E2IjQ3Ggrh3jRo3AQZnf9JTy3LJcHDvTgT1VrZiXk8g5u2ujZr2s9UumIsUYKasHIRlCdXZAdXaEeLq+PHOcCcebOtHRM/yNqNjIUEVLQkopqcnjLd6+j4QQfXF+z/PV8lJSj0yKc/2dYCb385smO6DJjpBbN+9HcVWr5KnUEIZBbFQoLD0DPv2adKiBAcv67qvaIQwDhoFPls4ICTYhDOPzsgxi73lTdBgqHl7IuczTY2oIw6AgOwGvr5qlzh0IAFRUkHjEW+vL3jRgZRWNIUTlFaZJo0fSRIcQjWQmin9jVAti73nnWl4Af45xTlY88jO5NcYKshOwo3Au9cFSke4zO2fOnMGvf/1r/Oc//0F3dzeys7OxZcsWzJgxAwDAsix+97vf4eWXX4bZbEZBQQE2bdqEnBzqFK2Ukp5QgeBvt83Eu/tqcaCuHXGR4ah2oyjXk0umIvm7tfMdh8/gaIPFCyMlhADAvVfkwAogL92Ef5afxolm7QvpLclNRUbCCOSlm1Be1y76ni+va+d8I8uWg3TMMd4wIw0AOP0GbUtUzn0IaenKfbqe7LS3t6OgoADz58/Hf/7zHyQmJuLEiRMwmYbrrzz99NN4/vnn8dprr2H8+PF46KGHsGjRIhw7dgyRkeKdpckQoZ5Qgc4xKN3WyV9pWcrszHj7AUiqrg8hxDPPOBTwuyDJNx/82xwKDk5JFY895KVzj6POvfq2VzTgiX9/jR2Fc+21uZwJXU6U0XVm54EHHkBxcTG+/PJL3t+zLIvU1FTce++9uO+++wAAHR0dSE5Oxquvvoqbb75Z1u0Ee2aHbx1ZSf7EncyOHtbb1XDqyas4/87+zb9pKYsQDSg5hnjreKM0s5P76Ke8LWz4tiXyBERmZ8eOHZgxYwZuuOEGJCUlITc3Fy+//LL99ydPnkRjYyMWLFhgv8xoNGL27NkoLS0V3G9fXx8sFgvnJ1iJ9VuR+6EttL4sRkmvKV+KDBUP9mzcXWX/f1/V9SEkGCmZvBRkJ+D5m6Z7ZQxy6+wo6dVH1KdoGaumpgbjx48Ho1HtkJqaGmzatAlr167Fb37zG5SVleGXv/wlwsPDsWLFCjQ2NgIAkpOTOddLTk62/47P+vXr8cgjj3h17P7C3WyOY1aFb325saMX68R6Y83Pxrj4ETjV1oUvKluwpeSUW+PwhkkpI/GDqSnISzdh4+4qlNacFdz2yxMt9poawZBzIsRfTE8z4q4FF3COUdfmjsFjHx7DnqoWpI8agU+PNalyW88ty0WogUF5XbtLbysbOb36+K5H1KFospOTk4Nvv/0WSUlJAICbbroJzz//vMtkQy1WqxUzZszAE088AQDIzc3F0aNH8Ze//AUrVqxwe7/r1q3D2rVr7f+2WCxIS0vzeLx6JFT8z0aqB5aQ1LhIDPL8YSW3N9a4+BGoa+vC/06bkTBSvAmn1tJHReNkaxdSjVEoyEoQneyc77fiB38uwtzsRPx4NrWGIEQvUkZG4F+HzqAgK4Fz7Hvw6skAho6Nak12bMdX58lKUWUzDp0eau4plelzzve4Q+p4H8wUTXac4z3//ve/sX79elUH5Gj06NGYPHky57JJkybhn//8JwAgJSUFANDU1ITRo0fbt2lqasL06dMF9xsREYGIiAj1B6wjfKHjS3IS8cKyXBijw+yX2XpY8WV2YiJDOQUBbYxRYbj1leFwr9B+8zPjXXq+AEBemhFLNhYLntJ1ZGDk97CKiwrDuV7Pa/18cmy4KaBUb66D9WYAwDeNnfjbnpPISogW7YhOCNHGx8eGGvBur2jAum1HsKOwAJPHGO2/FztGyWWre+M8sXAOIgNDS1tCBUf5+mgpIfd4H8x0ndkpKChAZWUl57Ljx48jIyMDADB+/HikpKRg586d9t9bLBbs27cP+fn5mo5Vb/gazhVXteIX71S4bCvUA2tCMn/3X+cJkNB+hVY7/3fGImuiAyhr1pmTFKMoNySH0gwOTXQI0Z8BK4trNxS7XC50jBoREcJ7eYzT5UJ1b5wnOgDs/zY5TT748j1KKTneBytFZ3YYhnHJ63gzv3PPPfdgzpw5eOKJJ3DjjTdi//79eOmll/DSSy/Zb/vuu+/GY489hpycHPtXz1NTU7F48WKvjUvvbKFjZ4Msiy9OtOBkaxfnLxFb7QfHeg4sy8oubc6335qWTpcu5jbeCvGW1bZj933fBzDUn+rDQw34Z8UZr9wWIUQf/vCjaWg514cvT7TAGBlqP6PjbMDKYuuBentdG7FjVFffIO/lnX2DeGPVLAxYWcGlIrEgsqV3AG98V/1YLN+jhNLjfbBSvIx122232ZeAent78bOf/QwjRnAfyG3btqkyuJkzZ+L999/HunXr8Oijj2L8+PH485//jOXLl9u3uf/++9HV1YU777wTZrMZc+fOxccffxzUNXakgrKn2vhf/I71HHZX8h8w5O7XV2HdU21d9hxSRb1ve2QRQryvuLoVv7wsB5NSY/HW3lrJbW2THXePUafbe5BiFP58kRNEvmZaKgasLMaapDOTUjkcd4/3wUbRZMc5FPyTn/xE1cHwufrqq3H11VcL/p5hGDz66KN49NFHvT4WfyEVOh4XL/3Cdye47Lhfd4PPntq4uwplp2iSQ0iwONZgkX0WuiBreJnb3WOU47dM+XIxUkHkz4814VmH4ohC2Rq5ORw1jvfBQNFkZ8uWLd4aB1FRZmIMTNFhgsWr5MzyMxP58zpCQg0MZ79iwWdvNsssrzV7Zb+EEH2qVtAywnZWBxA/TsptKmzLxTg25rx0QpLofo81nJPcByCew3HcVuxYyxeeDlYeBZSrqqrwySefoKenB4Drt7WIb9S0dIoWrzopowfUe/vrFN3mgJWV1fRuqABhgUtITy2BUJWZECLN1shXyXve8RgldpwcsLLIS4+T3J9jLsbRjsK5Lse42MhQ3mbFfPsQK/bKd3tCx1pqGjrMrd5YbW1tuPHGG7F7924wDIMTJ04gMzMTq1atgslkwjPPPKP2OIkCaqzhlp5U/nXM8rp2NLT3oPTkcIM7oaZ3FQ8vxN/L6lFS04r46HBsLj6l+PYIIcElKyEaYaEGzM1OREFOAqe/nRzlde0YExeF2rPdaOzoFd129WXDhU+bOnrxgEiRVOdjalp8NCoeXogvT7TYg8gDVlZ0vEoyj863x/clEzqjw+XWZOeee+5BWFgY6urqMGnSJPvlN910E9auXUuTHR9TYw03f3w8tjs0vJPjuc9P2L8qvr2iAb/+x/8Q41BXwtb07s1Vs/DUx8d5v0FACCFCbKUdvmnsxN8P1Cu+vnNeRoxtwiC3SCqfeTmJ9m9bKdmHu8dwahoqzK1lrE8//RRPPfUUxo4dy7k8JycHtbXiaXjifZmJMYLF8JyzNUJumqW8GrBzDMcKuBTQau/ux3UbSlzWotUSolErE0KIb1l6BxBqYBS9553zMnxCGAaX5CS6ZBCFlt6V5CAvyUl0Ga/Q7cndlsjj1mSnq6sL0dGuM8+zZ88GfGVif1BU2SwYAObL1gjtQ67ocGUvI751a7WkjYryyn4JIfozYGUxOXWk7O3lHHf4si5q5CABZdkayuGoy61lrHnz5uH111/H73//ewBDX/+2Wq14+umnMX/+fFUHSJRzt+GcYz0HqX3kpsWhp38Ac7MT0drVp3jJy1tGGyPx6HUXoqLeDAPD4JlPj/t6SIQQL1owORk/uTgDpTVtGBUdjlfcyP+tnDMO7T3nOblCR3IyNCzLutTDceyNNS8n0Z6t+eJ4MyrqzaJFBSmHoy6GdeMrVEePHsXll1+OvLw87Nq1C9deey2++uornD17FsXFxcjKyvLGWL3GYrHAaDSio6MDsbGxvh6Ox4oqm7FCJAj3xqpZnDcYXz2HqWNiceSMRdbtKelf5W3j4qNxqo1aNhASLGIiQtApUPHYHbb2DWnxw6sXNS2dorV8ZmaYUFY7XN9r5jgTjjd1clrrmKLDePOK1MPKM3I/v92a7ABAR0cHXnzxRRw+fBidnZ3Iy8tDYWEhpyGnvwi0yQ4AZP/m37xLWaEGBlVP/JBz2a2b92teD8dbQhiGvn5OCPGIKToMFQ8v5FwmdJyMjQqFpUdeA2K++j22ejjOdXaIPHI/v91axgIAo9GI3/72t+5enXhRTUunaGbHuYeVUF8VsBDs0qtXNNEhhHiqvbsfX55o4ZwBf2FZLn7xTgXneJmXEaeoYjvfcZl6WGnDrcnO//73P97LGYZBZGQk0tPTKaiskFT/EyWUrC83SdSaeG5ZLkINDMrr2rGv+ixKapTX3yGEEH/jnG3ky9CcautSXOtHiJIeVkKfF2p+jgQatyY706dPt3c7t62COXY/DwsLw0033YS//vWvQd2QUw65/U+UkKrRsHFXFWd9WYztTTMvJxHvjayjyQ4hJCjkpZt4L3esZaNm1wA59c+EPi8eWzwFD24/SlkgEW599fz9999HTk4OXnrpJRw+fBiHDx/GSy+9hAkTJuDtt9/G5s2bsWvXLjz44INqjzfgiPU/cZdYjQZTdBjK68yy9+X414E7tXcIIcTfmKLDBL8l5UjoWCuEry6Qkto5Qp8X123Yo/rnSKBxa7Lz+OOP47nnnsOqVaswdepUTJ06FatWrcKzzz6LZ555BsuXL8cLL7yA999/X+3xBhSl/U+U4KvRkJcRh/bufkW5lq0OVUqlKoDGRrodASOEEHu/K7mevH6K6n32bN/GkovvWDtrnAnGKO64hvZb4HbtHLHPC77juhqfI4HErU+nI0eOICMjw+XyjIwMHDky1D9k+vTp+Pbbbz0bXYBTo4eVENv68qMffIWS6la3e8kUV7fiogyT7HzPsTMd2FPVijFxUfhH+Rm3xk4ICR6TUmIQFx2OeTmJ6LdaRds5pJmiYO45j+lj4/DGTy8GANw8O8Peg6q2tQvb3Kj5dd/CCzDIsqJ1b2ycczFi9XAce2PZ9utu7RypzwshnnyOBBK3vnqem5uL733ve3jppZcQHh4OAOjv78cdd9yBw4cPo6KiAsXFxfjJT36CkydPqj5otfnqq+dStRt23/d9t1+kJVUt+PHf9rs7NLsLkmNwvEn8jI6Nv31zixCiL1NSY3G0QV59r1ADgx2FBZg8xmi/TKrGmBA5x1pv5CuVkPq8EOLJ54g/kPv57dYy1oYNG/Dhhx9i7NixWLBgARYsWICxY8fiww8/xKZNmwAANTU1WL16tXujDxLe7H+ixkQHAKqb5Z8CpYkOIcQTX38r3bvKZsDK4toNxZzLLp2QJNgXEHDtnadGXkarXIxUFpP6aIlza7IzZ84cnDx5Eo8++iimTZuGadOm4dFHH8XJkydx8cVDpxZvueUW/OpXv1J1sIHIG/1PXtwpr6uvHFS3hhCiFaXHmwEr65IrFCuEmpcRx/m3GnkZLXMxQp8XOwrnUh8tCW4nSkeOHIlLLrkE48aNw/nz5wEAu3fvBgBce+216owuCCjplSJXcbV3OooTQojeKMkVrp6fba+P45iXkapbI7VfrXIxYvkg6qMlzq3JTk1NDa6//nocOXIEDMOAZVlOnZ3BQfX6lAQ6b6wDF2QloLTmrFpDJIQQ3TrW0CE7y2KbBNgmAsJ1ay7Eg9u/4q0uL7RfLTneBzmXEzeXse666y6MHz8ezc3NiI6OxtGjR1FUVIQZM2bgv//9r8pDDGzeWAdec3mOp8MihBDNhTCMaOaGT3Wz9LeUhPIrwnVril0uF2KKDqMJhh9wa7JTWlqKRx99FAkJCTAYDAgJCcHcuXOxfv16/PKXv1R7jAHLm+vA791xMe/lz980XfW6FIQQooah/EmByzFqZEQIQpw+rWz/lpPz4cuvKK1bI6S9u59q2fgBt5axBgcHMXLkSABAQkICGhoaMGHCBGRkZKCyslLVAQYyb9bZmZ0Vj1NPXoWNu6vsDe1Wz88GAFybO8Ze/yGEYfDHT4+7dRuEEOKpJ5dMRbIxkpMzqXh4IW+Nmq0H6lFc3YqCrAQkjIwQrRu2fslUpDjt15G7dWv4UC0b/XNrsjNlyhQcPnwY48ePx+zZs/H0008jPDwcL730EjIzM9UeY8CS6mGlxjrwD6akYFJqrMu+rN99YyFpJPUuI4T4zuzMeN6Jwpi4KAxYWYw1DR8nk0ZGYHzCCKQYIzEmLkp0v2PiIjEocnJG6virxLj4EbpowqmHMeiVW5OdBx98EF1dQ6ftHn30UVx99dWYN28e4uPj8d5776k6wEBmq5tQXNXKOWUawjAoyE7w6MUqFLy7f9EFuOWV/Wjv7ne4PfAeFIQu5xMdZkB3v9Xt8RJCAleIAQDLyDrO8R27Zo4z4XhTJzp6ho9bpugwTB9rxKHTHS63Z4wKxa2vDJ/14fvSh9jxNzYqFJaeAcmlrBCGwezMUfjdv77yaRNOXxc89AduVVDmc/bsWZhMJs63svyFryooA0BHdz9+8U6F6i/SWzfv530TMwxE61AQQogUU3QY5w8mKSMjQpCbPkrWcY7v2CUk1MDIOp7ZJlavr5rFuVzo+Pv44in4rVMX8fzMeDAMUFLdxtm2f9CK/SfP8k7knG/PW4SO91qOwVfkfn6rNtnxZ76c7NioWR/B3bLihBAi5IaLxmLsqCjkpZuwvfwM/lmhrPfdG6tmYawpWvQ45+1jl1DrBKHjL9/ljpexLOu1lj9yebPtkD+Q+/lNbap1Qo36CEWVzTh02gyDH55dI4To28Has+i3xiHVGIV9p9qkr+CkvK4d8yTaF6gZGuZzqq0LLMu65FqU1K1xvGx3ZbPk7QlN6pzH4G7exptfdAkkNNkJALVtXVi8oVjRaWVCCFGiprUbNa3d2F7RAHf+nMpLN0luo2ZomM/G3VUoO9Vu/7enkQGlXzLhy9YILY/JHZcWX3QJBG7V2SH6Inei49wojhBC3OFO9kFOGxyhZpdi5G4bamBQXmvmXOZpAdfMxBjBumV8xQb5ihiW1rRxJjpKx+XNhtKBRNeTnf/7v/8DwzCcn4kTJ9p/39vbi8LCQsTHxyMmJgZLly5FU1OTD0esvaLKZtlndDIT5f/VFGpgsPnWGVSAkBCiCseGnWL4ml2KcW7uKWTAyqpewLWmpVPw+OtcbFCoiCEfpePyRkPpQKP7ZawLL7wQn3/+uf3foaHDQ77nnnvw0UcfYevWrTAajVizZg2WLFmC4uJiXwzVJw6dNov+fknuGGQkRCMv3YR/lp/GiWbhN0+aKQosWORnJuAPN3wPwFBxr99/8BWKq1vRP8CimiqFEkK+szg3FW3n+nDotBmRoSFo6TwvuK1jw06xXIpzc2Spwqer52cjhGFQUd8OA8PgGTeKpLqba1GSl3EnjyR3XGINQskQ3U92QkNDkZKS4nJ5R0cHNm/ejLfffhuXXXYZAGDLli2YNGkS9u7di4sv5m+XEGimj40T/f02h29MXJAUI7ptfXsPAGDrwdN4v+IM/njDNNy39X/0VXVCCK9Pjjai57v6Wucg3gD62Bluw06hXApfrkWMcw7HHe7mWpTkZdzJIykdFzUCFabrZSwAOHHiBFJTU5GZmYnly5ejrq4OAHDw4EH09/djwYIF9m0nTpyI9PR0lJaW+mq4mrt0QpLsxnnVLfLPygxYWdz93mGa6BBCBPUoKCRa3cI9syGUS+HLtQjhy+HwEWsw6kkjTyWZHbFtnVHeRn26nuzMnj0br776Kj7++GNs2rQJJ0+exLx583Du3Dk0NjYiPDwccXFxnOskJyejsbFRdL99fX2wWCycH39V09Ipe0JiWysOoZwyIcQD7hxD5ORllORaAP4cDp+8jDjB46QnjTyVZnbk5ispb6M+XS9jXXnllfb/nzZtGmbPno2MjAz8/e9/R1SUeF8UMevXr8cjjzyixhB9wrEegzvrwH+7bSbe3VeLA3XtCDMY0Gjp88IoCSGBxBQVCkMIg5kZozApNRbPfnZClf1+cLgBLFjkpZtUPZPs2GD0VFuXaNNQPWR2+BqiEvXoerLjLC4uDhdccAGqqqpwxRVX4Pz58zCbzZyzO01NTbwZH0fr1q3D2rVr7f+2WCxIS0vz1rBVI9QzRimxNz0hhPBp7xkAAHz8VRM+/kq9b73+6bPhQHFspHofSY4NRqUaBeghsyPUEJWoQ9fLWM46OztRXV2N0aNH46KLLkJYWBh27txp/31lZSXq6uqQn58vup+IiAjExsZyfvwB31p2ea1ZdmaH6uwQQvTM0jsge9sQhoEpOkxWfRlv1aJRsl+lNXmIunQ92bnvvvtQVFSEU6dOoaSkBNdffz1CQkKwbNkyGI1GrFq1CmvXrsXu3btx8OBBrFy5Evn5+QH5TSyhtexBlpV96jdtlPtLf4QQ4iwy1Hd/QBVkJ2BH4VzZ9WW8VYtG7n6V5HuI+nS9jHX69GksW7YMbW1tSExMxNy5c7F3714kJg5V4nz22WdhMBiwdOlS9PX1YdGiRdi4caOPR+0d7vaMuXdhDqzsUKn2jburcKrNu71nCCHBIzfdhOvzxqCkug2josPxSvEpr94eX67FsSZPXrpJsFKzWC0aW19BsevbOPewklvjhnpY+RZ1PYc+up5LUaMbcMaoKNSe7VFpRISQYDcuPgqn2rQ7pjh38ObLMSrpK8XXV9AUHYYdhXORFs/N2Hh6W8Hendxb5H5+63oZiwwTWxvmW7fmc7q911vDI4QEofqz2h1TQg2MrF5TSvpK8fUVbO/ux7Ub9rhs6+ltUQ8r36LJjh8RWhvmW7fmI7d2BSGEyKHlMWXAyuJLh7MqYjlGOX2lxPoKtnf3q3pbNtTDynd0ndkJJs7rwEKXC60ND61bt3jUH4YQQvRsW/lplNe1y6rJI5SBsR1Tv6gUb0dRXtduz++olbdRq4eV0OcFEUaTHR8TWgd+bPGFeHD7V7zrw879T5T2kiGEEH/0fkWD/f+lavI4185RepzMSx+uYaakno4c7vaw8jQ3FMxoGcvHhNaBr9tQLHt9WEkvGUIIUYsva3eJ1eThq1ujtOeW47ey9JK38TQ3FMxosuNDYuvA7d39XuklQwghapk8eqTsbZ37aRngenZGrQrKfH2plPbccs7h+Dpvo1ZuKFjRMpYPuVs7R0m/FUII8ZYFFybjVz+YgIp6M0IYBn8UyQr+7baZaD3Xh+LqVhRkJeCGGUMter480cLJ4ajVzsbT46RzDketvI27qE6PZ2iy40NS68BClPRbIYQQb/n8qybZDUHHxY/A/AlJ9kmOzbycRPuSUU1Lp2pj8/Q4KZTDcTdv4ym1c0PBhpaxfEisV4oQ57Vod/ZBCCGeCjUwOPbtOcntlORa1Dqe8R0n+TI3fPRa94Z6a3mGJjs+JNYrRQjfWrTSfRBCiCdiI0MxYGVlZWCU5FqUHM/E8j18vab4MjdzsuKRnxnv9ni1RL21PEPLWD5EmR1CiL9YkjsGGQnRsrI165dMRYpTDys5pI5n9y68AFaWlTUGJZkbX+VwlKDMjmdosuND7uZtQhhgd2UzxsWPoMwOIUQT1+eNkZ2tuTgznveDV6rhptTx7Oppqfb9So1BSebGVzkcJSiz4xma7PiQbR25uKqVczo4hGEQGxUKS8+A0+VAbFQYbn1l+K+ZS3ISMX2sEYdOd2g6dkJI8IiNDHWpO5OfGY/SmjaXbfN5JjpyG24q2a/Y8bMgO0H3kxelgu3+qo0yOz6mpN9VbFQYOpzWbIurWnG0weL1cRJCiCOhrC/f5UoabirZr69r32gt2O6vmujMjo+JrSM7Xh7CgHNGx2aQZQGqJ0gI8SJL7wC+PNHCWcYqqXY9+wIAJdVtONk6nB+R03DTnf0Cvq99o7Vgu79qosmOTgitGdsu313Z7INREULIEHebcB46bRbdVknDzb01rbwf8nVtXfjfaTNCDYzXP/z10ITTHzJGekOTHT9BQWRCiC+524Rz+tg40W2VNNxct+2o/f8vyUnE/Ysm4JZX9klmgdRATTj9G2V2/ERmYgxCDb5rukcIITZKmnBeOiFJtBienIabfIqrWrF4o/wskKeoCad/o8mOnyiqbJY8dUwIIY588fcRX4G7HYVzXSY8tjMwzvhCuHwGWVbwmGjLAqmFmnD6P1rG8hNS695K3HNFDo6dseBA3Vm0d/WD5lCEBI4wA5BsjER+ZgL6rVZsd1h+0opzgbu0+GhUPLwQfy+rQ0lNG6cRqHMGxhbCfa+sDqU1bYiPDsfm4lOKx+CYBfIUFfTzfzTZ8RNS695KPP/5CQzSBIeQgNRvBU6392LrwdPw1cK3c4E757zL9ooGbCs/A4YB59tXQzmcC3DLK/s9boPjmAXyFBX083802fETtnVvNfpg0USHkODgzls9hGFk9bzi21aowB1f3oWvcGBxVSsWV7fKWrIPYRgwDHi3dc4CeYoK+vk/yuz4Eb5175iIEB+NhhASiCanjpS9bV5GHOfffAXuhPIufMRyOM6Giq8WyM4CeYoK+vk3hmVlTuEDmMVigdFoREdHB2JjY309HA6+mg6O694NHT149rMTPh4lIURr+ZmjcK67H8dbOhEZaoClb1CV/d5zRQ6u/d4YnGrrQlNHLx7YdkRw2y0rZyKEYVBR387pd+V43DrV1iXasFOJ2+aMw6UTEl1q3Pz9QB1KqrlZICWU1M6hgn76Ivfzm5axdIqvpsOcrHiw7PDp3+0VDZg6Rl+TM0KINkprztr///ygOhMdYCjrYitaJ9Vsc+PuKpSdarf/2/kYBQAzMtTLzlw+KYmzPMWXBfrg8Leya9+4UzuHCvr5J1rG0im+Ne6S6jaXde5jDee0HBYhJMDJqXsTwjAwRYehvNbMuZzvGFVRZ4YpOkxW7RwxfDkcT2vfUO2c4EGTHR1SusZNCCFq2XqgnvNvvqxKbnoc2rv7ZR+j2rv7XfI9YpwrNPPlcDytfUO1c4ILLWPphOOasVRNB0II8Zbi6lZO7sVW9+aL482oqDfbe2MpzeGsnp+NEAaoqDcjhGHwx0+PC2773LJchBoYey8uvm9WeVr7hmrnBBea7PgY35rxzHHqrXETQogSBVncszh8xyh3cjgbd1WhrLZdekPAHv4V+/q4p7VvqHZOcKFlLB/jWzMurzVTHyxCiOZCDYzLt5n4jlFKcjj2fE+dWdYYnHtrCRHLE12Skyi5D0+vT/wLTXZ8SGzNmPpgEUK0FGpgsKOwgHOZ2DGKL4czJyse+ZnxnMvyMuTnewD+3lpCPK19Q7VzgodfLWM9+eSTWLduHe666y78+c9/BgD09vbi3nvvxbvvvou+vj4sWrQIGzduRHJysm8HKwNlcwghvnR7wTic7T4vWJ9G6hi1en62vZaOY92ZF3edQHFVK+blJGJSaqzifI/cvIwtT+Ru7ZvhPFKLS60gElj8ZrJTVlaGv/71r5g2bRrn8nvuuQcfffQRtm7dCqPRiDVr1mDJkiUoLi720Ujlk1ozJoQQb7olf5zo5EBOrsWx7syR02Zcv7HEfma6tOYsQtxYP1Cal3G39o07dXaIf/KLZazOzk4sX74cL7/8Mkym4WBcR0cHNm/ejD/96U+47LLLcNFFF2HLli0oKSnB3r17fThieTITY1xKnduEGhjZ6+GEEKJUqIGRlWsRyg/yXd9xomMzaB36r9zjmZZ5GaqzEzz8YrJTWFiIq666CgsWLOBcfvDgQfT393MunzhxItLT01FaWiq4v76+PlgsFs6PL9S0dAo29hywsshLj+Nclp8ZjzlZ3PXwrEQ6O0QIUW7AyuJLhzMafIoqmwXzg87Xf29/nWjWMCuJe6ziO55pmZehOjvBRffLWO+++y7Ky8tRVua65tvY2Ijw8HDExcVxLk9OTkZjY6PgPtevX49HHnlE7aEqJrkefhn/erjj+vRzO4/jeDO9KQkhypXXtYtmVA6dNsu+fulJ1y7mjianGvHXW2aKHs+0/AYU1dkJLro+s1NfX4+77roLb731FiIjI1Xb77p169DR0WH/qa+vl76SF8hdD58/IYnzpnPs3Zo/Pp7vqoQQIml0bCR2Vza7nMWoaenE7spmpMSKH3fz0odjBVLHooKsBMnjmZaozk5w0fWZnYMHD6K5uRl5eXn2ywYHB/HFF1/gxRdfxCeffILz58/DbDZzzu40NTUhJSVFcL8RERGIiIjw5tBlyUyMQX5mvEsvGWDoFK/zXxVCYToDA9A31Qnxb0rexwwAT9/yIQbg/n8OdzS/JCcRjy2+EA9u/4pzjAk1MLzLU869qm6alY7fbj/Kuy1f/R5fh4NtdXaKq1o5S1khDIOC7AQ6qxNgdH1m5/LLL8eRI0dw6NAh+8+MGTOwfPly+/+HhYVh586d9utUVlairq4O+fn5Phy5fEKZPb7LhcJ0NNEhxP8peR8recsLHeRtwWGb4qpWXLeh2OUYM2hlXULKfL2qAGBHYYHLtnz1ewB9hIOpzk7w0PWZnZEjR2LKlCmcy0aMGIH4+Hj75atWrcLatWsxatQoxMbG4he/+AXy8/Nx8cUX+2LIitS0dKKkmn+du6S6DSdbh9eMbWE6Z9QIlBAixiq9CYDhQoHOWAyFkf/wo2lo6OgRrUUzeYwRVU/8EFsP1KO4ulWwfo/Y8cwWDtbizIqndXqI/9D1ZEeOZ599FgaDAUuXLuUUFfQHSgJyVICQEOJLA1YW08bGYaxJ+hugN8xI453k2OgtHOxunR7iP/xusvPf//6X8+/IyEhs2LABGzZs8M2APKAkIEcFCAkhvrRuGzff40m2hsLBRGu6zuwEOrGigs7N8MSKexFCiKdsDTvlFP/zNFtDTTiJ1miy40NiRQWdm+GJFfcihBBPFWQnYEfhXJfALh81Cu9ROJhoye+WsQKJnHXr/TVtKD3Zhu6+AY1GRQgJFuuXTEWKMZITzHVsjBnCMPjjp8cFr680W1PT0onas93221MaDna+PiFy0WTHh6TWrX/6WpnL10MJIUQtFzvV8+KrfSNGbrZGrKaOnHCwr2vyEP9Hy1g+JJbZAVzrYBBCiJqcJxl8tW+EOOcKxXhaU0cPNXmIf6PJjg+JZXYIIYRPiIKjdlSY+MZbDwy3yhFqjCnEOVcoxNOGm9Swk6iBJjs+RLVzCCFyLJychIkpMfjp3PH424qZotveXjAOi3NT8YcfTcOiKcJtcwCguHr4bIk7x6NTbdITDTnZRE+vb+vlpcXER8vbUoO/jddbKLPjQ1Q7hxAix6fHmgEA3zR24u8HxBsXv1J8CgCwvaIBOUniy0wFWcPfhnLneCQns+NpTR2p62/cXYWyU+32f3sry+NvuSF/G6+30ZkdH6LaOYQQpSy98r+ZWdMiflbEscqxVIbQkZJ6OJ7W1BG7vik6DOW1Zs7l3sry+FtuyN/G62002fEhqp1DCPEmqfzNlw5/9SvJECqth+NpTR2+6+emx6G9u1+TLI+/5Yb8bbxaoGUsL5KqCXHotFn7QRFCyHd2ft2EASuLcfEjJLMxTy6ZimSnmjxyedpwk+/6p9q6sHJLmeB11OyvpbdeXkJsnzmNHb2i2+llvFqiyY4XyF0rnT42zgejI4SQIa+W1OLVkloAwIwMk+i2s51q8rjD04abjtdnJc5aqdlfS++9vLxVHymQ0DKWF8hdK710QpLsNXJCCPGmijqzYIZQSU0drWjZX0vvvbzk1kfSy3h9gSY7KlO6VrqjcK7LhCc2kk64EULUEx0ufagfZFnBDKHcmjpa07K/ll57eSmpj6SH8foKfaqqTOnablp8NCoeXoi/l9WhpKYNBVkJSBgZIboWTQghSiy8MAVzMuNRUtOG+OhwbP7u6+lK7K1p5c3b+LJfladZIL3elhLezFoFEprsqEzp2q7zWuv2igbJtXNCCFHiWEMHtlc0eLSPdduO2v//kpxEPLZ4Ch7cflQXdVw8zQLp9bbkkPrMUSNrFQhoGUtlStd2+dZaxdbOCSFEqepm6erItro1zscuPsVVrbhuwx6q46IDes8T6QVNdrxA7tquWL6H6u8QQtQiN8+xo3Cuy7FLaH9a1bgh0vSaJ9ITWsbyAqm1Xbm1EAghxJvWL5mKFKc8x+urZuGL482oqDcjhGHwx0+PK95vMNZx8SW95on0hCY7XuS8tqu0FgIhhHjTxU55DrWOUcFYx0UP9JYn0hNaxtKQ3FoINnLWzgkhREgIwyiqnaOkXos/1eQhhCY7GlFSC8FmcupIL46IEBLo8jLiZNfOUXKMyk2Xv19C9ICWsTQiVQuBz4LJyXh+WR5OtXVh7bsVaO+R3+2YEBKcHOuqKOkfJXWMcsz3aNmXihA10GRHI1K1EPjkpZvw0eEGFFe3In5EOE12CCGSUuMiMfjdSRcldb+ktnXM90j1pQphgN2VzRSUVcCXxRmDAU12NJKZGIP8zHiU1rTJ2j4qBLhl834vj4oQ4k0GAFaV9xnCMIiOCMG5Xtc/fmIjQnHrK8NnXC7JScSMDBMO1La7bJvvFE7OTIzBnKx4lFS7HqPmZLlue0lOIoqrWjnLXiEMEBsV5jIGXxQa9BdyG0cTz1BmR0NK8sY9g94bByFEGzGRoS6974QOA0KXhzj9oiA7AV08Ex0AsPRxLy+uakVVcyf/7fHcoNAJG77L+Wq7xEaFoaO732UMVGhQmNzG0cQzdGZHIzUtnbx/MRFCApeldwBvrJoFACiva8fo2Ejc/88jvNsKLQwNssAffjQNCSMjMC5+BPbXtMn+avggy8Lc08/7u5LqNpxsHc7W1LR0Cp55Lq3hbgu41nYJYcA5o+M4BluhQVqe4bKFwp3RY6Y+OrOjEXcCyoQQ/1de1w7rd99cajrX59Y+Sqpb8b/TZpxu70bpSfX+aNpb04bdlc042dolq4kxH1t+54xZvEiq0PWDUU1LJ3ZXNmPfybOi29Fjph46s6MRdwLKhBD/91JRDbrOe7Yu/b5DE8/ocPX+Rl23bfgs08xx4g2IpZoYS6FCg/SY+RKd2dFIZmIMNfckJAh5OtFx1n1efuRZSXPP8loz77ZKmhgLjYEaUg6hx8x3dD3Z2bRpE6ZNm4bY2FjExsYiPz8f//nPf+y/7+3tRWFhIeLj4xETE4OlS5eiqanJhyMWVlTZTM09CdGhUB0dBUeEh8je1vlvp1ADkJcWx7nMneaeeemu+5DbxJgPNaQcQo+Zb+l6GWvs2LF48sknkZOTA5Zl8dprr+G6665DRUUFLrzwQtxzzz346KOPsHXrVhiNRqxZswZLlixBcXGxr4fu4tBps6+HQAj5TlbCCISFMpibnYiPv/oWp9v10ZT3zkszkZduQnldO2pbu7Gt4ozgtnctyEEow2BPVSvm5SRi9fxsAOBtBukYJG7q6MUD2/hD0gCw+rJse+FAoZovUvkex8KGdHZiCD1mvqXryc4111zD+ffjjz+OTZs2Ye/evRg7diw2b96Mt99+G5dddhkAYMuWLZg0aRL27t2Liy++2BdDFjR9bJyvh0AI+U71d+0Mvmnk/1q2r+SlmzAvJxHzchJRVNksOtn5/KsmHGmwAABKa85ib81ZvLAsV7AZpO3ymhbx+2z7sBX7wJXKIM52quFD6DHzNR2dwBU3ODiId999F11dXcjPz8fBgwfR39+PBQsW2LeZOHEi0tPTUVpa6sOR8rt0QpKvh0AI0TFTdBjm5STa/33phCTRnN+xb89x/i23NoutIKDcbI639hFs6DHzLd1Pdo4cOYKYmBhERETgZz/7Gd5//31MnjwZjY2NCA8PR1xcHGf75ORkNDY2iu6zr68PFouF8+NtRZXNXr8NQoh/MkWHYUfhXM5lNS2dojk/5+yHY20WKXwFAZXmRNTYR7Chx8x3dL2MBQATJkzAoUOH0NHRgX/84x9YsWIFioqKPNrn+vXr8cgjj6g0QmGOvU4os0MIcXTvwgtgZVn70pUzd2tzyWnC6VwQUE5OxLl3kzv78JSe+0fJGZsvHjMyRPeTnfDwcGRnDwXvLrroIpSVleG5557DTTfdhPPnz8NsNnPO7jQ1NSElJUV0n+vWrcPatWvt/7ZYLEhLS1NtzHy1FKaOiVVt/4QQ/3f1tFSPcjFClNRmkcrmANK9m+Tsw1N67h/lzti0eMwIl+6XsZxZrVb09fXhoosuQlhYGHbu3Gn/XWVlJerq6pCfny+6j4iICPvX2W0/auKrpXCs4RzV2SGEABhatpL6sMtMjHHpq2UTamA0y37ooXeTHsYgRM9jI8N0fWZn3bp1uPLKK5Geno5z587h7bffxn//+1988sknMBqNWLVqFdauXYtRo0YhNjYWv/jFL5Cfn+/Tb2KJ9ToBC8RGhsIi0MSPEKK9EAMwqHZrcgnt3f2SfY9qWjrR7tRU02bAymJmhgllDt3MvZH90EPvJj2MQYiex0a4dD3ZaW5uxq233opvv/0WRqMR06ZNwyeffIIrrrgCAPDss8/CYDBg6dKl6Ovrw6JFi7Bx40afjllqnf25ZblosfSipKYNo6LD8UrxKW0GRgixiwozID4mHPmZCfjhtNFYucW1gaW37a1p9aiWjZx6OFKKKptx6LTZ7dyQnHyQFKmsi5wxsCwrO8ujZu5Hi8eHqEPXk53NmzeL/j4yMhIbNmzAhg0bNBqRNKl19o27qjh/jRFCtNfTb8Xp9l5sPXga28pP+2QM67Ydtf8/X8ZD6lgipx6OkNq2LizeUMw5c2T7Rlha/PDtyhmDu+RmXSSPqburUHZq+JgqlJfxRu7Hm48PUZffZXb0TqyWgik6DOV1Zt8MjBDCa1AHXVz4Mh7erMviPNEBhpbWrt2wR7MxyM26SB5Ta82S+1Bye0pQ7Rz/QZMdL+CrpZCXEYf27n5ZfVEIIcFFqEaON+qyFFU2C2aB2rv78aVTBsUbYxDqE6XkcchN5z+m8u1D6e0pQbVz/IOul7H8FV8thVNtXT7JBRBC/IdzxkPNuiy2rIpUgdPyunZOfkeNmjzOlGZd3DmmOu7Dm9kaqp3jH2iy40WO6+ksndEhhEgQynh4UpeFL6siJi/d5PYY1MrhyHkcpI6pjvvQIltDtXP0jZaxNCJWM4MQQkINjFc+LPmyKkKc+3OpcVveyiMp2QdlawhNdjQiVjODEEIGrKxLXsZTQlkVPnz9udS4LW/mkZTsg7I1wY2WsTTibp8bQoIZA4AFkDQiDHMuSMT2igZfD8mrnPMynpI67ty38AIMivTnUvO2vJFHUrIPytYEN5rsaMTdPjeEBDPbOYLmrn7sOBTYEx1AOC/jLqnjzlUS/bnUvC1v5JHc2Qdla4ITLWNphDI7hHjG6qWMv3OOQwpfXyo1eJqX4aNlVoVyMUTPaLKjEcrsEKJPBdkJ2HzrDNnbD1hZ5GXEcS6bNW4UjFHcE+WxkfJPnHualxGjZVaFcjFErxiWvhMNi8UCo9GIjo4O1Tug2+yubKY6O4ToxPolU5FijHTJbWzcXYUvT7RgTFwU/lF+RvD6W1bO5O1L9eWJFpTXtSMv3YQBKyv6nlczLyOHllkVysUQrcj9/KbMjkYos0OIfoyJi+L9htIPpqRgUmosQhhGdLIj1JdqXk6ifeJS09IpOgY18zJyaJlVoVwM0Rua7GgkMzEGMzJMOEBNQEkQCGF833Mq1MCAZcGZ1Bgw9K2cW1/Zb7/skpxEPLb4Qjy4/StOMTxjVCg6egZc9pufGS+7Dkx+ZjxKa9rc3gchRB2U2dFQVbP4X3qEBApvTHRCDQwiQuRtO5SBKXDJjxijw2Dp4Wbniqtacd2GYpdieHwTHQBQkk0W2tYL+WZCiAg6s6ORospmmHsooEyIEvcvmoDjzedQkJWApJERWCGSgbl/0QT0W62cDIxjXZUQhuGc0bEZZFlFXx4oqW7DyVbpXko1LZ0oqXY9q6NkH4QQddBkx4scm+EdOm329XAI8Tst53rt/y/1Hmo+14dLJyRirImbj7N9B+OMuUe1cZ1q6wLLsqo2uxRTVNmMQ6fNmoWZCQk0NNnxAr5meFPHeOdbXoQEsi0ltQCA7RUNMEgs/bxacgqvlpwCYMvhTMGD24/KboCpxMZdVShzyN+p2ezSUW1bFxZvKOacebJ9TT0tnr70QIhclNnxAr5meMcaziFU6mhNSJCSU6RPSVHBoRzOHtkNMOUWCgxhGJiiw1BeZ3a5PW80u3Se6ABAe3c/rt2wR/K6hJBhNNlRmVgzvAErq6jQGCF6ERmmfKKu5OCSlx4ne9voMOk923I4chpgAt8VCnQaQ35mPOZkxXMuy8uI492vN5pdFlU2C2aJ2rv7VW8aSkggo09elUmt0z+3LBfFx1uwp7oVxxs7YdVoXIQoNSczHrOzRiEv3YSNu6tQWnNW0fXvuiIHqcYoFFe3Ij46HJuLTwluu/qybHuRvrf21uLzr5sFt104JQVL88aivK4dIQyDP356XNG45IzBMYfjWCDvVFuXaKHAvTVtnOvbmk9+cbwZFfXKMjdSGSW1m4YSEshosqMyqXX6n75a5vP6I4TIcX3eGNwwIw0AcLjOrHiyY/tgv2FGGmpaOkUnO45F+po7ekUnOwVZCfbifTUtnapNdoQKBTpeJlVwft22I/b/F8oN8eV7+EwfGyf6e7WbhhISyGgZS2Vi6/SA7wutESKXbaIDAGsuz1F03VADwznroCS/ctOsdNnjEtuvKTpMdsNOU3SY7EKBfLfHRyg3xJfv4XPphCTBnJ/z40sIEUeTHS/gW6fPSqR6GsS/PPbhMfv/v7e/TtF1B6ys2/kVqTYLcve7o3Cuy+VC2rv7XfYrhO/2+AjlhoTyPc5qWjoxIJDK5nt8CSHCaBnLC2zr9I5r/c/tPI7jVEGZ+JE9VcNLL6Un+YvjiXGuI8P3vnD8va0uVWNHL9/u3Nqv4+WNHb2cZSap/QpxzuG4mxuSuj016/QECsfaZcF234lnaLLjRY5r/fnj47G9osHHIyJEvrnZw8sk7rx+herIOOdi+OpSqbFf58ulzhjJqXsDKB+vu7enRp2eQMH3mMvNPhEC0DKWZqRyCITozYNXT7b//02z0hXViZKbgQH461KpsV9nmYkxMAl8MHpjvEK5Ibl1dtSo0xMo+B5zudknQgCa7GhmyYtUBIz4j823znC5bEdhgewJj9wMjFBdKk/3K3RbYnVr1B6vUG5Ibp0dwLM6PYFCrHaZnOwTIQAtY2nm66Zzvh4CCVC5aXHo6R/A3OxEtHb1KV5u2rJyJl78/ASONVpw4ehY/GN1Ae92k8cYUfXED7H1QL2s2jlyMiVSuRR39+vObakx3vVLpiLFGCmYG1KaNZHKOQUDyi4RNdBkRyOTkkei/HSHr4dBAlBFvRkA8E1jJ3KSlB/0HYvkHagzY9wDH+G9Oy7GbKfqwTY3zEiTXTtHilQuxd39unNbaoz34sx40dyQuzy9vj+j7BJRAy1jaWTbmrm+HgIJAjUtys+U8Lnp5b2S26iRKVFSt8bTrIo3xxuMORqt0GNO1ECTHY28uPOEr4dANOKt/meRMntCAUCICu/sjburJLdRI1PCt485WfHIz+SeWVIjq+Kt8QZbjkZr9JgTTzGsVP1zH1q/fj22bduGb775BlFRUZgzZw6eeuopTJgwwb5Nb28v7r33Xrz77rvo6+vDokWLsHHjRiQnJ8u+HYvFAqPRiI6ODsTGxnrjrmDZS6WKy+0T/7Rl5UyEGhjVezflZ47C6vnZsva7ZeVMHGvowJ4TrTAwQHG18tdefuYovHNnvsvlfLVO1MiU8O3DW1kVb42XeBc95sSZ3M9vXU92fvCDH+Dmm2/GzJkzMTAwgN/85jc4evQojh07hhEjhl7oP//5z/HRRx/h1VdfhdFoxJo1a2AwGFBcXCz7drSY7Ly48wT++Jk6H3pE33bf9337gbimpROXPVOkyn7vXzQBq+dny9rvzAwTymrbVbs9gGqdEEL0JyAmO85aWlqQlJSEoqIiXHLJJejo6EBiYiLefvtt/OhHPwIAfPPNN5g0aRJKS0tx8cUXy9qvFpMdABj3wEde2zfxvRCGQUF2Al5fNYtz+a2b96O4qpXz1dkQhpH9dWubU09eJWu/sVGhsPQMKN6/u7fHd58JIUQLcj+//Sqz09Ex9G2mUaNGAQAOHjyI/v5+LFiwwL7NxIkTkZ6ejtLSUsH99PX1wWKxcH687YfPqvPXPdGPbKfT6EIZAr68waTUkYpu6707XCfufPvNy4jj7ceklPPtUa0TQog/85uvnlutVtx9990oKCjAlClTAACNjY0IDw9HXFwcZ9vk5GQ0NjYK7mv9+vV45JFHvDlcANxsQxV9GPi1e67IwdcNFpTVnsXMjFH4yy1DRffkZAj4aqXsOHwGR88IT7ILskbBygLzchI5S0lS+z3V1sX5KrkcW1bOxNcNFnx5okXw9qjWCSHEn/nNZKewsBBHjx7Fnj2eVyJet24d1q5da/+3xWJBWlqax/u14cs2jAgLwfnBQdVug2grL92Euy6/wOVyJfVPHLedPjZOdNuffT8b83ISRbfh2687q9Lj4kdg/oQkwUkVQLVOCCH+zS+WsdasWYMPP/wQu3fvxtixY+2Xp6Sk4Pz58zCbzZztm5qakJKSIri/iIgIxMbGcn7UxNfHpXfAquptEO2YosNkTzzkunRCkmifJndvz1t1a6jWCSHEn+l6ssOyLNasWYP3338fu3btwvjx4zm/v+iiixAWFoadO3faL6usrERdXR3y812/MqsFsWwDGRIf7Z2X3R1zx/Fe7tzOKdTA4Mnrp/BuGxPOHZspOgw7Cr1TEHJH4VyXCY8at8eX5cnPjMecLM/q1lCtE0KIv9L1t7FWr16Nt99+G//61784tXWMRiOioqIADH31/N///jdeffVVxMbG4he/+AUAoKSkRPbtqPltrN2VzYozE1rZsnKm7LE5fhPH02+RhTLAAAtEhgDfPD683zlPfI5vLX0YHRuBkt8MhcynPPQfdPZbERNmwAs/uUh0vAVZ8ag924X8zAT84Ybv2S9/7MNj2FPVgrnZifbO3bZ+TgVZCbhhxvCS5cbdVS5ZlS9PtKC8rh156SbVz+jw8dbteatuDdU6IYToRUB89ZwROBW/ZcsW3HbbbQCGiwq+8847nKKCYstYztSc7KhZV0UNSmq+OG7Lx9379tTSqWi09Cr+MPd0vM77ci6ERwghxL/J/fzWdUBZzjwsMjISGzZswIYNGzQYkTRbtsGb9U8cCe3XVv/E8YNdbGzO26px3wwADAYGv/7nEftltmWatHjpBpCejhegQniEEEJ0ntnxV0LZhh2Fc10un5lhQlyUa27jvTsudslzGKPCMGucSdZ+ldR8UZK7UHLfDAYGA1buxK69ux/XbpD/jTpPx8sXFi+uasUv3qmQPQZCCCH+TdfLWFrxVgVloWwD3+VCuQ2+y5XsV+nY1LpvzZZezhkdZ2+smqVoScud8aq5DEYIIUR/AmIZy98J1WDhm1/Oy0nk/fDnu1xov0pqvvCNQUmuRWoMz+0U7wNWXteuaLKj5L7ZUCG84EK5LEKIEJrsaEgP+RG+MczJigfLAqU1baqNS6poXl66SfT3aqBCeMFBD+8rQoi+UWZHQ3rIj/CNoaS6jTPRUWNcl05IQqhzgZvvhBoYTb7STYXwgoMe3leEEH2jyY5G9NBIUWgMfDwdV01Lp0s42WbAymrWOJIK4QU2PbyvCCH6R8tYGtFDfkRqDHyExvXe/jqUnmxzKdIn97a0ysvwNcv01RkdPWRK9DAGNenldUYI0Tea7GhED/kRqTHwcR7XkdNmXL+xxH7WZntFA9ZtO4IdhQWYPMYo+7a0zsu4E3BWix4yJXoYgzfo7XVGCNEnWsbSiB7yI5mJMYI5GmdC43Kc6NgMWFlcu6HY5bbEGl0G01/besiU6GEM3qCH9xUhRP9osqMhX+dHiiqbBXM0zvjG9d7+OtEcztYD9fZ/17R0or27n3fb9u7+oMlS6CFToocxeJOv31eEEP2jZSwN+To/cui0WfT3t83JwKUTkgTHVXqyjedaw4qrW+35HcpSDNHD46CHMXiTr99XhBD9o8mOD/gqPyJV++byScmiXwnPHx+P7RUNgr8vyBr+65qyFEP08DjoYQxa8GUuixCib7SMFUQunZAkmqORqn1z06x00do5jt/KoizFED08DnoYAyGE+BJNdoLMjsK5LhMeWydyedcvcJnwhBoY7CgscNmWshRD9PA46GEMhBDiK9QIFN5rBKpnQo1H5dp6oB7F1a2CdXYcUZZiiB4eBz2MgRBC1CL385smOwjOyQ4hhBDi7+R+ftMyFiGEEEICGk12CCGEEBLQaLJDCCGEkIBGkx1CCCGEBDSa7BBCCCEkoNFkhxBCCCEBjSY7hBBCCAloNNkhhBBCSECjyQ4hhBBCAhpNdgghhBAS0EJ9PQA9sHXMsFgsPh4JIYQQQuSyfW5Ldb6iyQ6Ac+fOAQDS0sQbWhJCCCFEf86dOwej0Sj4e2oECsBqtaKhoQEjR44EwzBevz2LxYK0tDTU19dT41E/Qs+bf6LnzT/R8+aftH7eWJbFuXPnkJqaCoNBOJlDZ3YAGAwGjB07VvPbjY2NpTexH6LnzT/R8+af6HnzT1o+b2JndGwooEwIIYSQgEaTHUIIIYQENJrs+EBERAR+97vfISIiwtdDIQrQ8+af6HnzT/S8+Se9Pm8UUCaEEEJIQKMzO4QQQggJaDTZIYQQQkhAo8kOIYQQQgIaTXa8ZP369Zg5cyZGjhyJpKQkLF68GJWVlZxtent7UVhYiPj4eMTExGDp0qVoamry0YgJnyeffBIMw+Duu++2X0bPmz6dOXMGP/nJTxAfH4+oqChMnToVBw4csP+eZVk8/PDDGD16NKKiorBgwQKcOHHChyMmg4ODeOihhzB+/HhERUUhKysLv//97zml/+l5870vvvgC11xzDVJTU8EwDLZv3875vZzn6OzZs1i+fDliY2MRFxeHVatWobOzU7P7QJMdLykqKkJhYSH27t2Lzz77DP39/Vi4cCG6urrs29xzzz344IMPsHXrVhQVFaGhoQFLlizx4aiJo7KyMvz1r3/FtGnTOJfT86Y/7e3tKCgoQFhYGP7zn//g2LFjeOaZZ2AymezbPP3003j++efxl7/8Bfv27cOIESOwaNEi9Pb2+nDkwe2pp57Cpk2b8OKLL+Lrr7/GU089haeffhovvPCCfRt63nyvq6sL3/ve97Bhwwbe38t5jpYvX46vvvoKn332GT788EN88cUXuPPOO7W6CwBLNNHc3MwCYIuKiliWZVmz2cyGhYWxW7dutW/z9ddfswDY0tJSXw2TfOfcuXNsTk4O+9lnn7GXXnope9ddd7EsS8+bXv36179m586dK/h7q9XKpqSksH/4wx/sl5nNZjYiIoJ95513tBgi4XHVVVext99+O+eyJUuWsMuXL2dZlp43PQLAvv/++/Z/y3mOjh07xgJgy8rK7Nv85z//YRmGYc+cOaPJuOnMjkY6OjoAAKNGjQIAHDx4EP39/ViwYIF9m4kTJyI9PR2lpaU+GSMZVlhYiKuuuorz/AD0vOnVjh07MGPGDNxwww1ISkpCbm4uXn75ZfvvT548icbGRs7zZjQaMXv2bHrefGjOnDnYuXMnjh8/DgA4fPgw9uzZgyuvvBIAPW/+QM5zVFpairi4OMyYMcO+zYIFC2AwGLBv3z5Nxkm9sTRgtVpx9913o6CgAFOmTAEANDY2Ijw8HHFxcZxtk5OT0djY6INREpt3330X5eXlKCsrc/kdPW/6VFNTg02bNmHt2rX4zW9+g7KyMvzyl79EeHg4VqxYYX9ukpOTOdej5823HnjgAVgsFkycOBEhISEYHBzE448/juXLlwMAPW9+QM5z1NjYiKSkJM7vQ0NDMWrUKM2eR5rsaKCwsBBHjx7Fnj17fD0UIqG+vh533XUXPvvsM0RGRvp6OEQmq9WKGTNm4IknngAA5Obm4ujRo/jLX/6CFStW+Hh0RMjf//53vPXWW3j77bdx4YUX4tChQ7j77ruRmppKzxtRFS1jedmaNWvw4YcfYvfu3ZzO6ikpKTh//jzMZjNn+6amJqSkpGg8SmJz8OBBNDc3Iy8vD6GhoQgNDUVRURGef/55hIaGIjk5mZ43HRo9ejQmT57MuWzSpEmoq6sDAPtz4/ytOXrefOtXv/oVHnjgAdx8882YOnUqbrnlFtxzzz1Yv349AHre/IGc5yglJQXNzc2c3w8MDODs2bOaPY802fESlmWxZs0avP/++9i1axfGjx/P+f1FF12EsLAw7Ny5035ZZWUl6urqkJ+fr/VwyXcuv/xyHDlyBIcOHbL/zJgxA8uXL7f/Pz1v+lNQUOBS2uH48ePIyMgAAIwfPx4pKSmc581isWDfvn30vPlQd3c3DAbux1BISAisVisAet78gZznKD8/H2azGQcPHrRvs2vXLlitVsyePVubgWoSgw5CP//5z1mj0cj+97//Zb/99lv7T3d3t32bn/3sZ2x6ejq7a9cu9sCBA2x+fj6bn5/vw1ETPo7fxmJZet70aP/+/WxoaCj7+OOPsydOnGDfeustNjo6mn3zzTft2zz55JNsXFwc+69//Yv93//+x1533XXs+PHj2Z6eHh+OPLitWLGCHTNmDPvhhx+yJ0+eZLdt28YmJCSw999/v30bet5879y5c2xFRQVbUVHBAmD/9Kc/sRUVFWxtbS3LsvKeox/84Adsbm4uu2/fPnbPnj1sTk4Ou2zZMs3uA012vAQA78+WLVvs2/T09LCrV69mTSYTGx0dzV5//fXst99+67tBE17Okx163vTpgw8+YKdMmcJGRESwEydOZF966SXO761WK/vQQw+xycnJbEREBHv55ZezlZWVPhotYVmWtVgs7F133cWmp6ezkZGRbGZmJvvb3/6W7evrs29Dz5vv7d69m/fzbMWKFSzLynuO2tra2GXLlrExMTFsbGwsu3LlSvbcuXOa3Qfqek4IIYSQgEaZHUIIIYQENJrsEEIIISSg0WSHEEIIIQGNJjuEEEIICWg02SGEEEJIQKPJDiGEEEICGk12CCGEEBLQaLJDCCGEkIBGkx1CCCGEBDSa7BBCgt5tt92GxYsXu1z+3//+FwzDuHS5J4T4F5rsEEIIISSg0WSHEKJrH3/8MebOnYu4uDjEx8fj6quvRnV1tf33JSUlmD59OiIjIzFjxgxs374dDMPg0KFD9m2OHj2KK6+8EjExMUhOTsYtt9yC1tZWH9wbQogv0GSHEKJrXV1dWLt2LQ4cOICdO3fCYDDg+uuvh9VqhcViwTXXXIOpU6eivLwcv//97/HrX/+ac32z2YzLLrsMubm5OHDgAD7++GM0NTXhxhtv9NE9IoRoLdTXAyCEEDFLly7l/PuVV15BYmIijh07hj179oBhGLz88suIjIzE5MmTcebMGdxxxx327V988UXk5ubiiSee4OwjLS0Nx48fxwUXXAAA+PDDDxETE8O5rcHBQS/eM0KIVmiyQwjRtRMnTuDhhx/Gvn370NraCqvVCgCoq6tDZWUlpk2bhsjISPv2s2bN4lz/8OHD2L17t8tEBgCqq6vtk5358+dj06ZNnN/v27cPP/nJT9S+S4QQjdFkhxCia9dccw0yMjLw8ssvIzU1FVarFVOmTMH58+dlXb+zsxPXXHMNnnrqKZffjR492v7/I0aMQHZ2Nuf3p0+f9mzwhBBdoMkOIUS32traUFlZiZdffhnz5s0DAOzZs8f++wkTJuDNN99EX18fIiIiAABlZWWcfeTl5eGf//wnxo0bh9BQOuQREowooEwI0S2TyYT4+Hi89NJLqKqqwq5du7B27Vr773/84x/DarXizjvvxNdff41PPvkEf/zjHwEADMMAAAoLC3H27FksW7YMZWVlqK6uxieffIKVK1dSJoeQIEGTHUKIbhkMBrz77rs4ePAgpkyZgnvuuQd/+MMf7L+PjY3FBx98gEOHDmH69On47W9/i4cffhgA7Dme1NRUFBcXY3BwEAsXLsTUqVNx9913Iy4uDgYDHQIJCQYMy7KsrwdBCCFqeeutt7By5Up0dHQgKirK18MhhOgALWATQvza66+/jszMTIwZMwaHDx/Gr3/9a9x444000SGE2NFkhxDi1xobG/Hwww+jsbERo0ePxg033IDHH3/c18MihOgILWMRQgghJKBROo8QQgghAY0mO4QQQggJaDTZIYQQQkhAo8kOIYQQQgIaTXYIIYQQEtBoskMIIYSQgEaTHUIIIYQENJrsEEIIISSg0WSHEEIIIQHt/wPCuu2uT7YTrQAAAABJRU5ErkJggg==", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "df.plot(x=\"ageH\", y=\"ageF\", kind=\"scatter\")" + "df.plot(x=\"ageH\", y=\"ageF\", kind=\"scatter\");" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 146, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 146, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "df.plot(x=\"ageH\", y=\"ageF\", kind=\"hexbin\")" + "df.plot(x=\"ageH\", y=\"ageF\", kind=\"hexbin\");" ] }, { @@ -4674,16 +6139,37 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 147, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 147, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "df[\"ANAISH\"] = df.apply(lambda r: int(r[\"ANAISH\"]), axis=1)\n", "df[\"ANAISF\"] = df.apply(lambda r: int(r[\"ANAISF\"]), axis=1)\n", "df[\"differenceHF\"] = df.ANAISH - df.ANAISF\n", "df[\"nb\"] = 1\n", "dist = df[[\"nb\", \"differenceHF\"]].groupby(\"differenceHF\", as_index=False).count()\n", - "df[\"differenceHF\"].hist(figsize=(16, 6), bins=50)" + "df[\"differenceHF\"].hist(figsize=(16, 6), bins=50);" ] }, { @@ -4697,9 +6183,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 149, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "df[\"nb\"] = 1\n", "dissem = df[[\"JSEMAINE\", \"nb\"]].groupby(\"JSEMAINE\", as_index=False).sum()\n", @@ -4709,8 +6206,15 @@ "\n", "ax = dissem[\"nb\"].plot(kind=\"bar\")\n", "repsem[\"nb\"].plot(ax=ax, secondary_y=True)\n", - "ax.set_title(\"distribution des mariages par jour de la semaine\")" + "ax.set_title(\"distribution des mariages par jour de la semaine\");" ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] } ], "metadata": { From f9b3951877c1d86ad50cecd9320e54c5cd86fd8c Mon Sep 17 00:00:00 2001 From: Xavier Dupre Date: Mon, 28 Aug 2023 12:06:12 +0200 Subject: [PATCH 08/17] req --- .github/workflows/check-urls.yml | 2 +- _doc/c_data/nb_array.ipynb | 335 ++++++++++++++++--------------- _doc/c_data/nb_dataframe.ipynb | 2 +- _doc/practice/exams.rst | 44 ++-- _doc/practice/exams/README.txt | 6 - requirements-dev.txt | 1 + 6 files changed, 199 insertions(+), 191 deletions(-) delete mode 100644 _doc/practice/exams/README.txt diff --git a/.github/workflows/check-urls.yml b/.github/workflows/check-urls.yml index c7c66f20..a97b54c4 100644 --- a/.github/workflows/check-urls.yml +++ b/.github/workflows/check-urls.yml @@ -42,6 +42,6 @@ jobs: print_all: false timeout: 5 retry_count# : 3 - exclude_urls: http://www.xavierdupre.fr/enseignement/complements/,https://www.gutenberg.org/cache/epub/12587/pg12587.txt,https://www.insee.fr/fr/statistiques/fichier/2407910/,https://castor-informatique.fr,https://hal.archives-ouvertes.fr/hal-00990252/document,https://github.com/onnx/models/raw/main/vision/classification/mobilenet/model/mobilenetv2-12.onnx,https://arxiv.org/ftp/arxiv/papers/1510/1510.04863.pdf,https://hal.science/hal-01125940,https://www.data.gouv.fr/fr/datasets/r/63352e38-d353-4b54-bfd1-f1b3ee1cabd7,https://github.com/sdpython/teachpyx/raw/main/_data/examen2021.zip,https://www.enseignement.polytechnique.fr/informatique/INF423/uploads/Main/poly-good.pdf + exclude_urls: https://www.data.gouv.fr/fr/datasets/r/4acad602-d8b1-4516-bc71-7d5574d5f33e,http://www.xavierdupre.fr/enseignement/complements/,https://www.gutenberg.org/cache/epub/12587/pg12587.txt,https://www.insee.fr/fr/statistiques/fichier/2407910/,https://castor-informatique.fr,https://hal.archives-ouvertes.fr/hal-00990252/document,https://github.com/onnx/models/raw/main/vision/classification/mobilenet/model/mobilenetv2-12.onnx,https://arxiv.org/ftp/arxiv/papers/1510/1510.04863.pdf,https://hal.science/hal-01125940,https://www.data.gouv.fr/fr/datasets/r/63352e38-d353-4b54-bfd1-f1b3ee1cabd7,https://github.com/sdpython/teachpyx/raw/main/_data/examen2021.zip,https://www.enseignement.polytechnique.fr/informatique/INF423/uploads/Main/poly-good.pdf exclude_patterns: https://www.data.gouv.fr/fr/datasets/r/e3d83ab3-dc52-4c99-abaf-8a38050cc68c,https://github.com/onnx/models/raw/main/vision/classification/mobilenet/model/mobilenetv2-12.onnx,https://www.data.gouv.fr/fr/datasets/r/63352e38-d353-4b54-bfd1-f1b3ee1cabd7,https://github.com/sdpython/teachpyx/raw/main/_data/examen2021.zip # force_pass : true diff --git a/_doc/c_data/nb_array.ipynb b/_doc/c_data/nb_array.ipynb index 9b940e3c..7c813ec4 100644 --- a/_doc/c_data/nb_array.ipynb +++ b/_doc/c_data/nb_array.ipynb @@ -38,7 +38,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": { "collapsed": true }, @@ -64,7 +64,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": {}, "outputs": [ { @@ -84,7 +84,7 @@ "array([ 1, 42, 18])" ] }, - "execution_count": 4, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" } @@ -110,7 +110,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -130,7 +130,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -158,7 +158,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "metadata": {}, "outputs": [ { @@ -167,7 +167,7 @@ "array([ 2, 42, 18])" ] }, - "execution_count": 7, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } @@ -186,7 +186,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": {}, "outputs": [ { @@ -195,7 +195,7 @@ "array([ 2.5, 42. , 18. ])" ] }, - "execution_count": 8, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" } @@ -217,7 +217,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "metadata": {}, "outputs": [ { @@ -260,7 +260,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 9, "metadata": {}, "outputs": [ { @@ -288,7 +288,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 10, "metadata": {}, "outputs": [ { @@ -316,7 +316,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -342,7 +342,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 12, "metadata": {}, "outputs": [ { @@ -391,7 +391,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 13, "metadata": {}, "outputs": [ { @@ -412,7 +412,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 14, "metadata": {}, "outputs": [ { @@ -446,7 +446,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 15, "metadata": {}, "outputs": [ { @@ -455,7 +455,7 @@ "array([1. , 1.5, 2. , 2.5, 3. , 3.5, 4. , 4.5, 5. , 5.5])" ] }, - "execution_count": 17, + "execution_count": 15, "metadata": {}, "output_type": "execute_result" } @@ -477,7 +477,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 16, "metadata": {}, "outputs": [ { @@ -487,7 +487,7 @@ " 3.5 , 4. , 4.5 , 5. , 5.5 ])" ] }, - "execution_count": 18, + "execution_count": 16, "metadata": {}, "output_type": "execute_result" } @@ -500,7 +500,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 17, "metadata": {}, "outputs": [ { @@ -510,7 +510,7 @@ " 3.5 , 4. , 4.5 , 5. , 5.5 ])" ] }, - "execution_count": 19, + "execution_count": 17, "metadata": {}, "output_type": "execute_result" } @@ -528,7 +528,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 18, "metadata": {}, "outputs": [ { @@ -566,7 +566,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 19, "metadata": {}, "outputs": [ { @@ -621,7 +621,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 20, "metadata": {}, "outputs": [ { @@ -640,7 +640,7 @@ " [ 9, 10, 11]])" ] }, - "execution_count": 22, + "execution_count": 20, "metadata": {}, "output_type": "execute_result" } @@ -660,7 +660,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 21, "metadata": {}, "outputs": [ { @@ -672,7 +672,7 @@ " [ 3, 7, 11]])" ] }, - "execution_count": 23, + "execution_count": 21, "metadata": {}, "output_type": "execute_result" } @@ -690,7 +690,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 22, "metadata": {}, "outputs": [ { @@ -699,7 +699,7 @@ "array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])" ] }, - "execution_count": 24, + "execution_count": 22, "metadata": {}, "output_type": "execute_result" } @@ -710,7 +710,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 23, "metadata": {}, "outputs": [ { @@ -719,7 +719,7 @@ "array([1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1])" ] }, - "execution_count": 25, + "execution_count": 23, "metadata": {}, "output_type": "execute_result" } @@ -737,7 +737,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 24, "metadata": {}, "outputs": [ { @@ -747,7 +747,7 @@ " 0, 0, 0, 0, 0, 0, 0])" ] }, - "execution_count": 26, + "execution_count": 24, "metadata": {}, "output_type": "execute_result" } @@ -760,7 +760,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 25, "metadata": {}, "outputs": [ { @@ -770,7 +770,7 @@ " [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]])" ] }, - "execution_count": 27, + "execution_count": 25, "metadata": {}, "output_type": "execute_result" } @@ -782,7 +782,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 26, "metadata": {}, "outputs": [ { @@ -792,7 +792,7 @@ " 1, 1, 1, 1, 1, 1, 1, 1]])" ] }, - "execution_count": 28, + "execution_count": 26, "metadata": {}, "output_type": "execute_result" } @@ -803,7 +803,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 27, "metadata": {}, "outputs": [ { @@ -813,7 +813,7 @@ " 5, 6, 7, 8, 9, 10, 11])" ] }, - "execution_count": 29, + "execution_count": 27, "metadata": {}, "output_type": "execute_result" } @@ -824,7 +824,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 28, "metadata": {}, "outputs": [ { @@ -834,7 +834,7 @@ " [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]])" ] }, - "execution_count": 30, + "execution_count": 28, "metadata": {}, "output_type": "execute_result" } @@ -870,7 +870,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 29, "metadata": { "collapsed": true }, @@ -883,7 +883,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 30, "metadata": { "collapsed": true }, @@ -894,7 +894,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 31, "metadata": { "collapsed": true }, @@ -934,7 +934,7 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 32, "metadata": {}, "outputs": [ { @@ -954,7 +954,7 @@ " [4, 5]])" ] }, - "execution_count": 34, + "execution_count": 32, "metadata": {}, "output_type": "execute_result" } @@ -976,7 +976,7 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 33, "metadata": {}, "outputs": [ { @@ -1011,7 +1011,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 34, "metadata": {}, "outputs": [ { @@ -1022,7 +1022,7 @@ " [4, 5]])" ] }, - "execution_count": 36, + "execution_count": 34, "metadata": {}, "output_type": "execute_result" } @@ -1033,15 +1033,15 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 35, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ - "/tmp/ipykernel_14281/4032182506.py:1: RuntimeWarning: divide by zero encountered in divide\n", - " 1/b\n" + "/tmp/ipykernel_30564/2601360242.py:1: RuntimeWarning: divide by zero encountered in divide\n", + " 1 / b\n" ] }, { @@ -1052,7 +1052,7 @@ " [0.25 , 0.2 ]])" ] }, - "execution_count": 37, + "execution_count": 35, "metadata": {}, "output_type": "execute_result" } @@ -1077,7 +1077,7 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 36, "metadata": {}, "outputs": [ { @@ -1086,7 +1086,7 @@ "array([1., 1., 1., 1., 1., 1.])" ] }, - "execution_count": 38, + "execution_count": 36, "metadata": {}, "output_type": "execute_result" } @@ -1098,7 +1098,7 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 37, "metadata": {}, "outputs": [ { @@ -1118,7 +1118,7 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 38, "metadata": {}, "outputs": [ { @@ -1141,7 +1141,7 @@ " [6, 7]])" ] }, - "execution_count": 41, + "execution_count": 38, "metadata": {}, "output_type": "execute_result" } @@ -1156,12 +1156,19 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "L'opération précédente fonctionne car numpy effectue ce qu'on appelle un [broadcasting](http://docs.scipy.org/doc/numpy/user/basics.broadcasting.html) de ``c`` : une dimension étant commune, tout se passe comme si on dupliquait c sur la dimension non-partagée avec b. Vous trouverez une explication visuelle simple [ici](http://www.tp.umu.se/~nylen/pylect/intro/numpy/numpy.html#broadcasting) :" + "L'opération précédente fonctionne car numpy effectue ce qu'on appelle un [broadcasting](http://docs.scipy.org/doc/numpy/user/basics.broadcasting.html) de ``c`` : une dimension étant commune, tout se passe comme si on dupliquait c sur la dimension non-partagée avec b. (voir aussi [Broadcasting](https://numpy.org/doc/stable/user/basics.broadcasting.html)) :" ] }, { "cell_type": "code", - "execution_count": 42, + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 39, "metadata": {}, "outputs": [ { @@ -1190,7 +1197,7 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 40, "metadata": {}, "outputs": [ { @@ -1211,7 +1218,7 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 41, "metadata": {}, "outputs": [ { @@ -1256,7 +1263,7 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 42, "metadata": {}, "outputs": [ { @@ -1281,7 +1288,7 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 43, "metadata": {}, "outputs": [ { @@ -1331,7 +1338,7 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 44, "metadata": {}, "outputs": [ { @@ -1342,7 +1349,7 @@ " [1., 1., 1.]])" ] }, - "execution_count": 47, + "execution_count": 44, "metadata": {}, "output_type": "execute_result" } @@ -1354,7 +1361,7 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 45, "metadata": {}, "outputs": [ { @@ -1365,7 +1372,7 @@ " [0, 0, 3]])" ] }, - "execution_count": 48, + "execution_count": 45, "metadata": {}, "output_type": "execute_result" } @@ -1385,7 +1392,7 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 46, "metadata": {}, "outputs": [ { @@ -1419,7 +1426,7 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": 47, "metadata": {}, "outputs": [ { @@ -1452,7 +1459,7 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 48, "metadata": {}, "outputs": [ { @@ -1481,7 +1488,7 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": 49, "metadata": {}, "outputs": [ { @@ -1492,7 +1499,7 @@ " [ 1.00000000e+00, -1.00000000e+00, 1.00000000e+00]]))" ] }, - "execution_count": 52, + "execution_count": 49, "metadata": {}, "output_type": "execute_result" } @@ -1503,7 +1510,7 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 50, "metadata": {}, "outputs": [ { @@ -1512,7 +1519,7 @@ "array([1., 1., 1.])" ] }, - "execution_count": 53, + "execution_count": 50, "metadata": {}, "output_type": "execute_result" } @@ -1538,7 +1545,7 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 51, "metadata": {}, "outputs": [ { @@ -1577,7 +1584,7 @@ }, { "cell_type": "code", - "execution_count": 55, + "execution_count": 52, "metadata": {}, "outputs": [ { @@ -1588,7 +1595,7 @@ " [102, 126, 150]])" ] }, - "execution_count": 55, + "execution_count": 52, "metadata": {}, "output_type": "execute_result" } @@ -1599,7 +1606,7 @@ }, { "cell_type": "code", - "execution_count": 56, + "execution_count": 53, "metadata": {}, "outputs": [ { @@ -1610,7 +1617,7 @@ " [49, 64, 81]])" ] }, - "execution_count": 56, + "execution_count": 53, "metadata": {}, "output_type": "execute_result" } @@ -1621,7 +1628,7 @@ }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 54, "metadata": {}, "outputs": [ { @@ -1632,7 +1639,7 @@ " [102, 126, 150]])" ] }, - "execution_count": 57, + "execution_count": 54, "metadata": {}, "output_type": "execute_result" } @@ -1643,7 +1650,7 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 55, "metadata": {}, "outputs": [ { @@ -1673,7 +1680,7 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": 56, "metadata": {}, "outputs": [ { @@ -1723,19 +1730,19 @@ }, { "cell_type": "code", - "execution_count": 60, + "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array([[ 0.37919615, 0.30467865, 1.07087102],\n", - " [-1.27539927, -0.14945927, -1.27548886],\n", - " [-1.2140889 , -0.57399401, -0.67446586],\n", - " [-0.14806038, -0.89661197, 1.49583792]])" + "array([[-0.77945981, -0.60547667, -1.00785723],\n", + " [ 0.02571444, 1.75133322, -1.12540479],\n", + " [-1.49532729, -0.98663122, -0.57854294],\n", + " [-1.48654912, 0.80767114, 1.28940232]])" ] }, - "execution_count": 60, + "execution_count": 57, "metadata": {}, "output_type": "execute_result" } @@ -1748,19 +1755,19 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "Pour se convaincre que [numpy.random](http://docs.scipy.org/doc/numpy/reference/routines.random.html) est plus efficace que le module *random* de base de python. On effectue un grand nombre de tirages gaussiens standard, en python pur et via numpy." + "Pour se convaincre que `numpy.random` est plus efficace que le module `random` de base de python. On effectue un grand nombre de tirages gaussiens standard, en python pur et via numpy." ] }, { "cell_type": "code", - "execution_count": 63, + "execution_count": 58, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "646 ms ± 38.6 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" + "781 ms ± 70 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" ] } ], @@ -1773,14 +1780,14 @@ }, { "cell_type": "code", - "execution_count": 64, + "execution_count": 59, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "20.8 ms ± 472 µs per loop (mean ± std. dev. of 7 runs, 10 loops each)\n" + "25.9 ms ± 2 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n" ] } ], @@ -1811,7 +1818,7 @@ }, { "cell_type": "code", - "execution_count": 62, + "execution_count": null, "metadata": { "collapsed": true }, @@ -1829,7 +1836,7 @@ }, { "cell_type": "code", - "execution_count": 63, + "execution_count": null, "metadata": { "collapsed": true }, @@ -1879,7 +1886,7 @@ }, { "cell_type": "code", - "execution_count": 65, + "execution_count": 60, "metadata": { "collapsed": true }, @@ -1898,7 +1905,7 @@ }, { "cell_type": "code", - "execution_count": 71, + "execution_count": 61, "metadata": {}, "outputs": [ { @@ -1907,7 +1914,7 @@ "(-0.5, 0.5)" ] }, - "execution_count": 71, + "execution_count": 61, "metadata": {}, "output_type": "execute_result" }, @@ -1959,7 +1966,7 @@ }, { "cell_type": "code", - "execution_count": 67, + "execution_count": 62, "metadata": {}, "outputs": [ { @@ -2070,7 +2077,7 @@ }, { "cell_type": "code", - "execution_count": 68, + "execution_count": 63, "metadata": {}, "outputs": [ { @@ -2151,30 +2158,36 @@ }, { "cell_type": "code", - "execution_count": 69, + "execution_count": 64, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Method:Nelder-Mead:\n", - "724 µs ± 10.8 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n", + "Method:Nelder-Mead:\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "776 µs ± 33.3 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n", "############\n", "Method:CG:\n", - "1.23 ms ± 25 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n", + "1.51 ms ± 241 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n", "############\n", "Method:BFGS:\n", - "1.29 ms ± 21.1 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n", + "1.65 ms ± 253 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n", "############\n", "Method:Powell:\n", - "903 µs ± 84.6 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n", + "986 µs ± 327 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n", "############\n", "Method:COBYLA:\n", - "155 µs ± 15.2 µs per loop (mean ± std. dev. of 7 runs, 10,000 loops each)\n", + "157 µs ± 19 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n", "############\n", "Method:L-BFGS-B:\n", - "729 µs ± 60.2 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n", + "716 µs ± 183 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n", "############\n" ] } @@ -2195,7 +2208,7 @@ }, { "cell_type": "code", - "execution_count": 70, + "execution_count": 65, "metadata": {}, "outputs": [ { @@ -2318,7 +2331,7 @@ }, { "cell_type": "code", - "execution_count": 72, + "execution_count": 66, "metadata": {}, "outputs": [ { @@ -2369,7 +2382,7 @@ }, { "cell_type": "code", - "execution_count": 73, + "execution_count": 67, "metadata": {}, "outputs": [ { @@ -2426,7 +2439,7 @@ }, { "cell_type": "code", - "execution_count": 74, + "execution_count": 68, "metadata": {}, "outputs": [ { @@ -2466,7 +2479,7 @@ }, { "cell_type": "code", - "execution_count": 75, + "execution_count": 69, "metadata": {}, "outputs": [ { @@ -2521,25 +2534,25 @@ }, { "cell_type": "code", - "execution_count": 76, + "execution_count": 70, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array([[ 1, 0, 1, 2, 1, 2, 1, 2, 3, 4],\n", - " [-1, -2, -3, -4, -5, -6, -5, -4, -3, -2],\n", - " [-1, 0, -1, 0, 1, 0, 1, 0, -1, -2],\n", - " [ 1, 0, -1, -2, -1, 0, -1, -2, -1, -2],\n", - " [ 1, 2, 1, 0, 1, 0, 1, 0, 1, 2],\n", - " [ 1, 2, 1, 0, -1, 0, 1, 0, 1, 2],\n", - " [-1, -2, -3, -2, -1, 0, 1, 2, 3, 2],\n", - " [ 1, 2, 1, 2, 3, 2, 3, 4, 3, 2],\n", - " [-1, 0, -1, -2, -3, -2, -3, -2, -1, -2],\n", - " [ 1, 0, 1, 0, 1, 2, 3, 2, 3, 4]])" + "array([[ 1, 0, 1, 2, 3, 2, 1, 0, 1, 2],\n", + " [ 1, 0, -1, -2, -1, -2, -1, 0, -1, 0],\n", + " [ 1, 2, 3, 4, 5, 6, 5, 6, 5, 4],\n", + " [-1, 0, 1, 0, -1, -2, -1, 0, -1, -2],\n", + " [-1, 0, 1, 2, 3, 2, 3, 2, 1, 0],\n", + " [-1, 0, 1, 2, 3, 4, 3, 4, 3, 2],\n", + " [ 1, 2, 1, 2, 1, 0, 1, 2, 1, 2],\n", + " [ 1, 2, 3, 4, 5, 4, 3, 2, 3, 4],\n", + " [ 1, 0, -1, -2, -3, -2, -3, -2, -1, 0],\n", + " [ 1, 2, 1, 2, 3, 2, 3, 4, 3, 4]])" ] }, - "execution_count": 76, + "execution_count": 70, "metadata": {}, "output_type": "execute_result" } @@ -2559,21 +2572,21 @@ }, { "cell_type": "code", - "execution_count": 77, + "execution_count": 71, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Highest position:124\tLowest position:-126\n", - "Number of walks over bound(=50):2131\n", - "Mean crossing time:676.2196152041295\n" + "Highest position:122\tLowest position:-150\n", + "Number of walks over bound(=50):2128\n", + "Mean crossing time:682.6531954887218\n" ] }, { "data": { - "image/png": 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", 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", 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", + "image/png": 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K3r17OwZJ7tixI1H/7du3ky1bNjJmzIi/vz8ZMmS4ZT8vLy/Hl/29/jXVokUL+vXrx+HDhxOtNXC9iIgINmzYQPXq1W/7mj/++CMxMTHMmTPH6S8xVx26zZw5MxEREWzevBlIGJi6c+fORH1v3L/xA4PPnDnj1H7jX9CnT59m8eLFDBw40GnQ3s1e41YiIiIwxlCgQAHH0aM7lT179jv+fCS36z/DNx4l27Fjh2N7vIiICHr06EGPHj3YuXMnpUqV4qOPPuK777676fMn5fOcL18+Fi1axNmzZ52OfsTP4Lqxlnt147+vMYZdu3ZRsmRJp/YXXniBhg0bsmbNGiZOnEjp0qVvO3ja3e7lsyjuo9MucktVq1bl4YcfZvjw4Vy6dImcOXNSqlQpvvnmG6cvuM2bN7NgwQLq1KkDWMGlZs2azJ492+mQ7tGjR5k0aRKVK1d2TCWNXy/ixi/MOxUREcHw4cOJjIzk4YcfvmW/p59+mn///ZexY8cm2nbx4kXOnz/vqB2c/5qMiopi3Lhxd1XfrWzYsIETJ04kav/nn3/YunWr47TA9fv8+tMhCxcuZOvWrU6PzZcvH97e3qxYscKp/dNPP3W6f7P3CDB8+PA7rr9JkyZ4e3szcODARM9jjEk0ZffG17/Tz0dyK1u2LKGhoXz22WdO0zXnzZvHtm3bHDOlLly4kGhaaUREBEFBQTed5hkvKZ/n+IXQRo0a5dQ+bNgwbDYbtWvXvtO3dUcmTJjA2bNnHfd/+OEHDh8+nOh1ateu7VjjZ/ny5al+rY57+SyK++jIh9xWz549eeqppxg/fjwdOnTggw8+oHbt2lSsWJF27do5ptqGhIQwYMAAx+MGDRrEwoULqVy5Mq+++io+Pj58/vnnxMTE8P777zv6lSpVCm9vb4YOHUpUVBR2u92xxsad6tKly3/2ef7555k6dSodOnRg6dKlVKpUidjYWLZv387UqVOZP38+ZcuWpWbNmvj5+VG/fn1efvllzp07x9ixYwkNDeXw4cNJ2ne3s3DhQvr370+DBg2oUKECgYGB7Nmzh6+//pqYmBinfRkZGUndunWpXLkybdu25dSpU4wcOZLixYtz7tw5R7+QkBCeeuopRo4cic1mIyIigrlz5yY65x0cHOwYw3DlyhVy587NggULnNbB+C8REREMGjSIPn36sG/fPho1akRQUBB79+5l5syZtG/fntdff/2Wj7/Tz0dy8/X1ZejQobRp04bHHnuM5s2bO6ba5s+fn27dugHw999/U716dZ5++mmKFSuGj48PM2fO5OjRozz77LO3fP6IiAgyZcrEZ599RlBQEBkzZqR8+fKJxswA1K9fn2rVqvHWW2+xb98+HnzwQRYsWMDs2bPp2rWr0+DS5JAlSxYqV65MmzZtOHr0KMOHD+e+++7jpZdeSrSPnn32WUaNGoW3tzfNmzdP1jqS271+FsVNXD/BRlKb+Km2a9asSbQtNjbWREREmIiICHP16lVjjDGLFi0ylSpVMgEBASY4ONjUr1/fbN26NdFj//rrL1OrVi0TGBhoMmTIYKpVq2Z+++23RP3Gjh1rChYsaLy9vf9zSt/1U21vhxum2hpjzOXLl83QoUNN8eLFjd1uN5kzZzZlypQxAwcONFFRUY5+c+bMMSVLljT+/v4mf/78ZujQoebrr782gNm7d6+jX758+UzdunUTvfaNUwlvZs+ePaZfv36mQoUKJjQ01Pj4+Jjs2bObunXrmiVLliTqP336dFO0aFFjt9tNsWLFzIwZMxJN3TTGmOPHj5umTZuaDBkymMyZM5uXX37ZbN68OdH0z4MHD5rGjRubTJkymZCQEPPUU0+ZQ4cOGcD079/f0e+/9vf06dNN5cqVTcaMGU3GjBlNkSJFTMeOHc2OHTtu+/6NubPPx91Mtb2Tvt9//70pXbq0sdvtJkuWLKZly5bm4MGDju0nTpwwHTt2NEWKFDEZM2Y0ISEhpnz58mbq1KlOz3Ozf+vZs2ebYsWKGR8fH6f9frN/r7Nnz5pu3bqZXLlyGV9fX1OoUCHzwQcfmLi4OKd+N/s8G2N9Blu1anXb9xo/lXXy5MmmT58+JjQ01AQEBJi6deuaf/7556aP+eOPPwxgatasedvnvpW7mWo7bdo0p363+r10q8/kvXwWxfVsxiTjaCURcZnWrVuzbNkyXaxLkt2GDRsoVaoUEyZM4Pnnn3d3OZIOacyHiIg4GTt2LIGBgTRp0sTdpUg6pTEfIiICWLO9tm7dyhdffEGnTp1cdgFB8TwKHyIiAkDnzp05evQoderUYeDAge4uR9IxjfkQERERl9KYDxEREXEphQ8RERFxqVQ35iMuLo5Dhw4RFBSU4hcyEhERkeRhjOHs2bPkypXrltfZipfqwsehQ4dS7LoOIiIikrIOHDhAnjx5btsn1YWP+AssHThwIMWu7yAiIiLJKzo6mvDwcKcLJd5Kqgsf8adagoODFT5ERETSmDsZMqEBpyIiIuJSCh8iIiLiUgofIiIi4lIKHyIiIuJSCh8iIiLiUgofIiIi4lIKHyIiIuJSCh8iIiLiUgofIiIi4lIKHyIiIuJSCh8iIiLiUgofIiIi4lIKHyIiIuJSCh8iIiLpzNWr7q7g9hQ+RERE0omdO6F3b8iTBzZsuEWnBQtg5UqX1nUjH7e+uoiIiCSLFi1g8uSE+199BSNGXLtz7hxs2gSzZsEHH0DOnLB+PWTP7oZKdeRDREQkXShY0Pn+txMMMVNmwjPPQI4c8Mgj8P77YAwcOgRjxrinUBQ+RERE0ozY2Ftva9vW+q+NOOoylxlRj2Nv3gSmToULFxI6envD0KHw9tspW+xt6LSLiIhIKmYM/PILfPkl/PEHbNli5YcbFcwdw/tFJ1H/7w8pErvVeWNAANSvD2XKWP8tWtQ1xd+CwoeIiEgqdfIkVKxoDSSNt2gR1Kp1Xaf9+2HSJBg5kp6HDjk/QWiodYSjTRsIDHRJzXdC4UNERCSVypo1cWb48kuoVSMWpk+Hjz+G1asTP7BSJejZE+rVu/lhEjdT+BAREXEzY8Bmu/m2F1+Ejh2t2xk4T7HZIzDZP8B2+rRzR5sNGja0Qscjj6RswfdI4UNERMQNYmPh55/h888hf/7rpsXe4Pn7V3PWew61fJdQ1GzBHnMWrs8dDzwATz1lzbWNiHBF6fdM4UNERMTFli2DF16AAwes+8HBEBkJGTNe63DgAPzvf/D99wQtW0YvgOtnunh5Qc2a0Lkz1K5968MmqZTCh4iIiIsVLAgHDybcj46G77+Htk8cgG++gffeg4sXEz/Q2xsaN4Z334UiRVxXcDJT+BAREXGxvHmtAxY//QS5+JdWfMNDPRZA1AprAMj1wsOtcRwNG1q309hRjptR+BAREUlG14/leOUVK2Q4OXECVq1ipNciIllKSTZZ7Wdu6NeqlbVyWMWK4OvrgspdJ0krnI4ZM4aSJUsSHBxMcHAwFStWZN68eY7tly5domPHjmTNmpXAwECaNm3K0aNHk71oERGR1GjcOChQwJrh+uOP8Nln1zYYA1OmQJUq1vVUGjSg4NwRCcEj3v33w8CB8PffMH681T+dBQ9I4pGPPHnyMGTIEAoVKoQxhm+++YaGDRuybt06ihcvTrdu3fjf//7HtGnTCAkJoVOnTjRp0oRff/01peoXERFJNa5cSRhECjB3LhxZc4Cwt1+0riZ7M+XKQY0a1gjUwoXTxWmV/2Iz5saTS0mTJUsWPvjgA5o1a0b27NmZNGkSzZo1A2D79u0ULVqUVatWUaFChTt6vujoaEJCQoiKiiI4OPheShMREXGps2chVy4ocG4j5VhDA+ZQ3+t/eMVdN1WlSBFrpkrVqtZ6HDlyuK3e5JSU7++7HvMRGxvLtGnTOH/+PBUrVmTt2rVcuXKFGjVqOPoUKVKEvHnz3jZ8xMTEEBMT41S8iIhIahMXB0uWWKdWvvjiummx8VatIujzz9nhu4ZcXHdtlbhr/82ZE8aOhTp1POLoxu0kOXxs2rSJihUrcunSJQIDA5k5cybFihVj/fr1+Pn5kSlTJqf+OXLk4MiRI7d8vsjISAYOHJjkwkVERFzBGGsBsNGjE66xUq2atfIoFy7AhAnw1Vfw558A5LrxCUJCrM59+ljrpUvSw0fhwoVZv349UVFR/PDDD7Rq1Yrly5ffdQF9+vShe/fujvvR0dGEh4ff9fOJiIgkJ5vNGq6RcHE3w/yPttBu3/fYPh0NNy5zDlCqlHVKpU4deOIJ8PNzYcWpX5LDh5+fH/fddx8AZcqUYc2aNXzyySc888wzXL58mTNnzjgd/Th69ChhYWG3fD673Y7dbk965SIiIq5gDD3r76DwTz9Rgs1UZzH5tu+HwTf0K14cXn4Znn8ebjgLIM7ueZ2PuLg4YmJiKFOmDL6+vixevJimTZsCsGPHDvbv30/FihXvuVAREZGUsm0brFwJL710w4b166FbN6ouW0bVmz3Qxwfq14fKla2lztPhtNiUkKTw0adPH2rXrk3evHk5e/YskyZNYtmyZcyfP5+QkBDatWtH9+7dyZIlC8HBwXTu3JmKFSve8UwXERERV7lyBWbNgk8/ta614uUFtWpB3nADq1bBgAGwcGGixxlfX2zVqkH16tbF3PLkcXXpaV6SwsexY8d44YUXOHz4MCEhIZQsWZL58+fzxBNPADBs2DC8vLxo2rQpMTEx1KpVi08//TRFChcREbkXly5ZC4ieOwe+XKZy3Eo2v7iBvP9+CVu3OncuUMA6nfLoo9gqVrzJVBdJinte5yO5aZ0PERFxiePH+ar5IkIXT6Iiq8jGycR9ChSAHj2gTRvIkMH1NaYhLlnnQ0REJLU7dQoOHYISJa41REXBmDEwYwasWUO7Wz2wfHlrAMgLL2gcRwpQ+BARkXRn/XprXY6JE6FYMVgz/xS2YR/Dl1/CTa45Fuftg2ncBO+aNeChh6wfD18ILCUpfIiISLqybJm1CBhACGeot3Y4sfmG4XP+hhW077vPugJcnTp4Pf44eHu7vFZPpfAhIiLpyqOPQrWc22l6eCSt+IZAzsP56zpUqmRNcSlZ0m01ejqFDxERSXOMgatXbzIc48gRvL/8kkVH+uPluKgKXLX54P1CS2yvv37dABBxFy93FyAiInKnLl6Er7+GMmXgvfeuNZ44YTVWqmRdvK1vX7yMFTwu+2bg/Asd8Nm1A9v48QoeqYSOfIiISJowfTq0b2/NYAHwObCXt098gvfnn1orht3A9OqNX+9e+Gmp81RH4UNERNKEiAgreORjH4N5i2dPTMF7VJxzpyJFrGVKn3nGWgxMUiWFDxERSd0uXoTNmym1cSNbAr+gyLk1eHHd+pgBAfDcc9ZCYAocaYLCh4iIpAp//w0jR0LbFpcofWy+tVjH2rXW3NmzZwEodl3/mOBs+Pbogle7NpA7tztKlruk8CEiIm61YgUMHQo//xTLy3xOga/ehYtHbtk/pmAR7M8/g71bNwgJcWGlklwUPkRExK2WL7xM7p/Gs5v3yM8/cPGGDhkzQsOGkC8fVKiAvX59rT6axil8iIiIexw7BkOH8ua3E/HGecnzHcWbULhXI+t0SrlyEBTknholRSh8iIhIijIGfv8dHn742grme/fCtGkweDBER3P9oubLfKqzo9nb1B5aFfK6qWBJcQofIiKSImJiYOpU+OQTWLvWsPr1aTy8cpiVRK5ns3G2cm0WPdKPmn3LUzWje+oV11H4EBGRFNG4McybBxk5x/e05eEPpzl3sNmgbVsYNIigsDAau6dMcQOFDxERSREvNDhDlXlDeImxZOVUwoYHHoA6deDpp61L14vHUfgQEZHktW0bjBvHM+PGYeOEo/msLYjdb4+n1MDGmq3i4XRhORERSbKzZ62xHKVKQXQ01rVVpkyxLu5WrBh88AG2E1bwuGLz5cBjz5Fh61pKvdNEwUN05ENERO6cMdCnD4wZA+eiY2nMTA5VnUHwwUVw/LhzZ19fTIOG+A4dQnhEhHsKllRJ4UNERO6YzQY7/zZUiF7AAAZQkd9h3Q2diheHF1+Eli2xZc/uljoldVP4EBGRO3P2LHzxBd9smUhgosSBtQpply5QtapOrchtKXyIiIiTCxesa7nVqXOtwRj4+mvo1QtOniTwur7/Bt7P+Vd7Uui1Othy53JDtZIWKXyIiAgAhw/D6NHWeI7Tp+Hvv85x3/ShMGcObNzo1Pd8kYeIfrUPuTs0BF9fN1UsaZXCh4iIcOWKNXPl2DHwI4aG/ERQtd5w5m/njs8+C/36kbFoUbQQqdwthQ8REcHXx9C/+q94Tf6Op5lKFk7Dmes63H8/fPABNGjgrhIlHVH4EBHxZHFxMHs2DBzIqxs2JNp86YGy+E/7DgoXdkNxkl5pkTEREQ8QFQXvvw9161rjR7l6FT791AoVTZrAdcEjxicDUfWfg3nz8F/3u4KHJDsd+RARSccuXID+/eHzz62Zsj5cYXvXryj665ewdq1z5/BwTL/+2J99Bntg4M2fUCQZKHyIiKRjdu+r7Pt+Le+cnUxVlnE/f5NhxEXnTjVqQLduULMmNh99LUjK06dMRCS9mjMH744dmXbw4M23lygBw4ZZ4UPEhTTmQ0QkjYuNhe3br2vYtMka3NGwIVwXPK7gw5GMBTldpQEsX26t3aHgIW6gIx8iImnUxYswYQJ8+KG1KNjBCUvwH/UhzJvn3LFqVTY/2JIMzzelYJnM7ilW5DoKHyIiadDp01C0KBw9Cvexk3f5GP+6nzl3ypMHhg6F5s0poWutSCqi8CEikgZlzmRoXmA1Dx0dTUsm4oVJ2Jg3L3TvDi+9BBkyuK9IkVtQ+BARSUsOHrTW5/jiC4adPOm0KcZm50LfIWTu1xm8vd1UoMh/U/gQEUml1qyxfl59FeviK999Z12y/uxZp37nfYI5/EIvIiJfwh6a3T3FiiSBwoeISCpiDCxdCu+9B4sXQ0bvS7TYP5xM342Cf/9N6OjtDY8/Tkz9ZmRs25L7Muoyb5J2KHyIiKQip05BvXrWTJYibGN8bGsyDf3DuVOTJtZA0vvuw+6eMkXuicKHiEgqkjUrdG55ioAvR9CTD8jIBQCMzYatQQNo2xbq1wfNXpE0TOFDRCS1uHIFBg4k8vtReBHlaI7KlBffH2eSofJDbixOJPkofIiIuFBUlDVZ5Y8/YMaMawcwjhyB0aOtAaX79jktPX21VVtCPh2pKbOSrih8iIi4wPnzMGiQFTyio622P6YfoPyKD2DsWLh0KaGztzc8/TT074+PLmcv6ZDCh4iIC/j5weTJVvAozHa68zEPPT0ezJWETl5eUKUKREZChQpuq1UkpSXpwnKRkZGUK1eOoKAgQkNDadSoETt27HDqU7VqVWw2m9NPhw4dkrVoEZG0xtcXenW5xASeZztFac9YfOODR4YM1oqk+/db82wVPCSdS9KRj+XLl9OxY0fKlSvH1atXefPNN6lZsyZbt24l43VzzF966SXeeecdx/0MOlcpIh7i4kUICLiu4fx5mD0bpk7lldmznfrGZgzGu0sn6NoVsmtxMPEcSQofP//8s9P98ePHExoaytq1a6lSpYqjPUOGDISFhSVPhSIiacC2bTB4MPz6K+zYGIPfp8Nh+nRYtw6uXnXqGxeQAa8+vfHu3BkyZXJLvSLudE9jPqKirKlgWbJkcWqfOHEi3333HWFhYdSvX5++ffve8uhHTEwMMTExjvvR8SOxRETSgIsXoVUr+OEHa3XSFxmLd+aOEHslcefMmaFsWbzeew/KlnV9sSKpxF2Hj7i4OLp27UqlSpUoUaKEo71Fixbky5ePXLlysXHjRnr16sWOHTuYMWPGTZ8nMjKSgQMH3m0ZIiJuFRBgzZQNM4d4i8F05FOIva5Dvnzw+ONWQqlcWRd8EwFsxhjz390Se+WVV5g3bx4rV64kT548t+y3ZMkSqlevzq5du4iIiEi0/WZHPsLDw4mKiiI4OPhuShMRcZ3Nmzn4xggyz5voWI0U4FypygSOGgKVKrmxOBHXiY6OJiQk5I6+v+/qyEenTp2YO3cuK1asuG3wAChfvjzALcOH3W7HbtfVCUQk9TIG9uwBp19hly5Zi3b06UOey5cdzbFePlx6exCBA3u5vlCRNCJJU22NMXTq1ImZM2eyZMkSChQo8J+PWb9+PQA5c+a8qwJFRNzFGFiyBB57DEqUsE6vcOAAvPkm5MkDPXrAdcHjcuOn8d63h4wKHiK3laQjHx07dmTSpEnMnj2boKAgjhw5AkBISAgBAQHs3r2bSZMmUadOHbJmzcrGjRvp1q0bVapUoWTJkinyBkREUkJsLNSsaYUPgAqs4liVjwjbM8vaeL0uXaB7d/zy5nV5nSJpUZLGfNhucRXFcePG0bp1aw4cOMBzzz3H5s2bOX/+POHh4TRu3Ji33377jsdvJOWckYhISmrbxrBn/HJ6M4Qnme+80dcXnnrKCh4PP+yeAkVSkRQb8/FfOSU8PJzly5cn5SlFRFIfY2D8eMas/gQ7G5w2Xc4ahl/nDtC+Peh0sshd0bVdRMSjbd5sjedw2L0bXnoJli7l+qHw5zLlxr9XV/y6v2ZdqEVE7lqSBpyKiKQXK1dC9erwwAOwdi3W0Y6vv4aSJa3rq1xztWRprnwzicDj+/Dp/bqCh0gy0JEPEfE4LVpYV5iN98Gbp5kS3N5apjRe3rzwxRf41Krl+gJF0jkd+RARj/Pggwm3q7Cc9xc86Bw8XnzROh+j4CGSIhQ+RMTjdOwIj2TaylKqspyq5OWAtSFzZiuEjB0LQUHuLVIkHVP4EJF0aft2iIu7yYaNGwls+zS/RJekKtfNznvsMdiwAZo2dVmNIp5K4UNE0pWdO60xHcWKOZ9JYc8eaNkSSpWCadPwiru2UFiuXDBsGCxeDOHh7ihZxONowKmIpBuDBsGAAQkLkPbrB01K78Xny8/gk0/guotYkiEDvPaa1SkgwC31ingqhQ8RSTeKFYsPHoZH+I23dgzGu/DP1jTaeNmyWddmeeUV8Pd3V6kiHk3hQ0TSjcaNDN0ifqTl7oGU4S+rMT53+PpC587Qvz/o0g0ibqXwISJpSlQUeHtDYOB1jbGxsGABtrfe4uPd65wfEB5uHeVo2xZy5HBprSJycxpwKiJpwvnzMHQoFCgAH398XWOfPlbAqFMH1l0XPEqUgOHDYccOq4+Ch0iqoSMfIpLqzZ1rrft19Kh1/6OPoGvp5QS/2claDOx6pUtbYzqaNoVbXIlbRNxL4UNEUr3cua3g4UcMrfiG1tHjCW6wKqGDzQYNG8Lzz0OjRuClg7oiqZnCh4ikeqVLQ68nN/Diz025j93OG0uVgq++goceckttIpJ0+vNARFKNq1dv0njoEDRpQuSCh5yDR44c8OWX8OefCh4iaYzCh4i43fbt1hCNF1+8YcPChdaRjZkzscWvlf7gg/C//8G//0K7dtbUFxFJU3TaRUTc5vhxa2zouHHWbFmbDXr0gAcy7IbRo63ZKvELhAUHQ9eu8MYbkDGjO8sWkXuk8CEibmMMTJmSsBx6oIlm/VMjeGDXgIRGgNq1YcIEa3VSEUnzdNpFRNwmNBRefx3AUJe5/M39PL+jb0Lw8PODwYOtubYKHiLpho58iIj7xMXxxv1zaObdn+KxGxPabTZrVdI+fSBPHvfVJyIpQkc+RCRFzZ8PL7/sfG03tmyxLmNfrBgBLRo7B4/ata2Fw0aPVvAQSad05ENEUsT69dbY0IULrft16kDDzCugWzf466/EDyhXDjp1shYK08qkIumawoeIJLvYWGvq7J491v0IduHz/Ntw9vvEnatUsQZ+1Kun0CHiIXTaRUSSnbc3DBoEPlyhGx+zkZLUvT54ZM5sBY7Vq2H5cqhfX8FDxIPoyIeIpIhnQn6mvH93Cl7a5mgzmTNje+cdaxCIr68bqxMRd9KRDxG5K8ZYM2AvXbphw44dUKcOXnVrO4KHsdngtdew7d9vjetQ8BDxaAofIpJkf/wBjz1mnS0ZOfK6DTNmQJkyMG9eQluFCthWrYJPPoHAQJfXKiKpj8KHiCTJ4MFQvjz88ot1/4NBMUTPWGQtfd60KZw/b20ID4fJk+G336wHiIhco/AhIklSvXrC7QfYyG/RxQlu+oR1ZCNeixbW1eKefVYDSUUkEYUPEUmSChWg5bOxvMxn/ElZ58vce3nB0KHw3XeQIYP7ihSRVE2zXUTkpuLirCyRyLp1fL2+FX5sSmgrUcKaOlutGuTN67IaRSRtUvgQESf790Pv3pAlC4wadcPG336D2rXxi45OaGvfHoYPh4AAV5YpImmYTruICGCNE+3XDwoXtsaJjhljXWIFgA0boHVrqFwZ4oNHqVKwbBl8/rmCh4gkiY58iAgAp07Bhx8mrNsRFwfduxnmV43E1vdt5yvDPf44zJkDGTO6p1gRSdN05ENEAGtmbM+e1u0QzvAqo3lz2RPY3n4rIXhkygRDhsBPPyl4iMhd05EPEXF4o/0Zcn40iBbnvyCYs3D12gabzUomvXtb12UREbkHOvIh4kEuX4bp02+y4dIlGDyYjEXC6XD+Iyt4xAsNtVYuHTpUwUNEkoXCh4iHmD8fSpaEZs2s24B1OuXrr6FYMXj7bTh3zmr394eXXrI6HjgAjRq5q2wRSYd02kXEA7RvD2PHJtzv2jmWjYNm4/vpCOuS9tdr0gQ+/hjy5XNtkSLiMXTkQ8QDVKhg/deLWFowkR93Fsb3mabOwaNGDfjzT+u8jIKHiKQgHfkQ8QCtW8OmoT/R9u9ePMBm543h4fDpp1CvnltqExHPo/Ahkt5t24bXm28y7O9Zzu2PPQadO0PjxrdYR11EJGXoN45IOnD2LPTo4Tyug/Pn4bXX4MEHYdashPby5WHxYmt10qZNFTxExOWS9FsnMjKScuXKERQURGhoKI0aNWLHjh1OfS5dukTHjh3JmjUrgYGBNG3alKNHjyZr0SJiMQamToUiRawxor17w8mTwIoV1lLoI0fClStW58yZrU6rVlkrlIqIuEmSwsfy5cvp2LEjv//+OwsXLuTKlSvUrFmT8+fPO/p069aNH3/8kWnTprF8+XIOHTpEkyZNkr1wEYHVq+GZZ+DQIbARR+FTv7HzkRegalVYvz6hY8+e1hXjunWzFgwTEXEjmzHXX7AhaY4fP05oaCjLly+nSpUqREVFkT17diZNmkSzZs0A2L59O0WLFmXVqlVUiB9yfxvR0dGEhIQQFRVFcHDw3ZYm4jGebhpLlhlj6UMk+djvvPH+++H7762LwImIpKCkfH/f04DTqKgoALJkyQLA2rVruXLlCjVq1HD0KVKkCHnz5r1l+IiJiSEmJsapeBG5A8bA0qV8t6sXfvzpvC1zZmvRsC5dwNvbPfWJiNzCXY80i4uLo2vXrlSqVIkSJUoAcOTIEfz8/MiUKZNT3xw5cnDkyJGbPk9kZCQhISGOn/Dw8LstSSTdunjxhoaoKGsF0urV8duYEDxMrVrWJe5374bu3RU8RCRVuuvw0bFjRzZv3syUKVPuqYA+ffoQFRXl+Dlw4MA9PZ9IenLlCnz0EeTNC7t2Yc1gGTYMChSAr75K6FiiBCxfju3nn63lTHUNFhFJxe7qtEunTp2YO3cuK1asIE+ePI72sLAwLl++zJkzZ5yOfhw9epSwsLCbPpfdbsdut99NGSLp2sqV8OqrsGkT+BHD709GEnFiOLZrpzsBsNutMPLii+Dr675iRUSSIElHPowxdOrUiZkzZ7JkyRIKFCjgtL1MmTL4+vqyePFiR9uOHTvYv38/FStWTJ6KRTzE5MlW8CjBJn7jEZ7bPdA5eDRsCGvWwCuvKHiISJqSpCMfHTt2ZNKkScyePZugoCDHOI6QkBACAgIICQmhXbt2dO/enSxZshAcHEznzp2pWLHiHc10EZEEQ1puovbXA6lzaQZeWJPSYr188H6ypjWeo3p1N1coInJ3kjTV1naL9QHGjRtH69atAWuRsR49ejB58mRiYmKoVasWn3766S1Pu9xIU23F461bB6NGWZe6v87FvIUJmDUZSpd2U2EiIreWlO/ve1rnIyUofIgnuXoVjh+HnDmxps6++y707+/cxz8jtoED8O7cEQIC3FOoiMh/cNk6HyJy99ats2bLGgOrf4vF561e1tSWeBkzwuuv49OhA9zhkUMRkbRA4UPExS5ehL59YfhwiI2F0vzF4eLdCd+9PKHTu+9aC4QFBbmtThGRlKLwIeJi3t4wbx7ExcbRl0EMYABeu6+d/fTygk8/hZdfdm+RIiIpSOFDxMX8vGOZ1eAbrm79gKJsd7RfDgvHb+pEePRRN1YnIpLyFD5EXOnyZXj+eQpNnepoirN5Edd/IH69Xgd/fzcWJyLiGgofIink8GFrlXNHnjh6FJo2hV9/dfS5UO4xMnz4Dl5VqrinSBERN7jra7uIyM0ZA+PGQdGi8M471xrXrbNOp8QHD39/mDOHDH8sAwUPEfEwCh8iyWj/fnjySWjb1rrw7MdDr/DP219A+fKwc6fVKU8eWLIE6td3b7EiIm6i0y4iySgqCpYutW5X5DcmxrUk3+B9CR0KFYKFCyFfPrfUJyKSGujIh0gyeuABeLv3Vd5gKMuoSgH2JWxs08Y6/aLgISIeTkc+RJLTnDn0/fpVbPyb0FapkjX44/HH3VeXiEgqoiMfInfh9OkbGg4cgKeegoYNsf17XfDo2hWWLVPwEBG5jsKHSBLExcHo0ZA3L6xYAezbBx06QEQE/PBDQseKFeF//4Nhw8BHBxhFRK6n34oid2j/fmsWy+LFEMEujtSNxFyagO3q1YRO2bLBJ59A8+Zgs7mvWBGRVEzhQ+QOTZ8OvyyO4XM6046v8D4Xl7AxKAg6dYIePSBrVvcVKSKSBih8iNyh1x5YSq3AXhQ7t8bRdsEvhIBeXbB17QJZsrixOhGRtEPhQ+S/XLoEvXrhPWIExeKb8OfgC29y34jXICTEreWJiKQ1Ch8iNzDmuuEaGzdCy5awebNj+8WcBbj65TfcV0dXnxURuRua7SJynXnzoFw5OH0yzpqpUq5cQvCw2+GTTwg4uIsgBQ8RkbumIx8iwMWL8MYbMGoU5OYg/5ZoQ+YjixI6lCwJkyZB8eLuK1JEJJ3QkQ8RrIkqo0bBy3zGDgpT4vrg0aMH/PGHgoeISDLRkQ8RoN9bsZT7rjsdLo9wtJ3KkJssc76B6tXdWJmISPqjIx8iFy+Sr3tTp+Cx5dEOZN6/UcFDRCQFKHyIZ1u50loKffZsAGK9fDg8+GuKrxiDLavW7RARSQkKH+IxoqJgzJhrd9asgYYN4dFHYcMGqy0wEO/588j5Zhu31Sgi4gk05kM8wm+/QYsWcOKfc1SdO4CiPw+zrhIX78EHYdw4KF3afUWKiHgIHfmQdG/YMKhSBbL/s4a1lKHoTx8lBI/QUOtwyNq1Ch4iIi6i8CHpXh6/Y4yOfZlVVKQwfwNw2csO77wDBw9Chw7g7e3mKkVEPIdOu0j6tmULTw1vBOxyNG0LLEvI3EnkeqyQ28oSEfFkOvIh6ZMx1umURx6BXQnBY2m1d7j/+G8KHiIibqQjH5JuXLkCvr5ATAx07QqffZaw8cEHiRk3iWqli93q4SIi4iI68iHpwuTJUKgQHNh6FurVcw4erVvDr79iV/AQEUkVdORD0rSLF+G11+DLL8HOJS48XBXO/2Vt9PKyQshLL7m1RhERcabwIWna229bwSOAC3xDKwrHB49MmWDqVHjiCbfWJyIiiem0i6Rpb70FbbLPZSMleYofALjs7Y9ZvETBQ0QkldKRD0m7Nm8my6uv8vXxXxxNV3398ftxFjykBcNERFIrhQ9Jm5Yvt67NEhXlaLrwUCUyTPoKChd2Y2EiIvJfdNpF0oTVq6+tiG6MNcijZs2E4JE5M3z7LRn+/EXBQ0QkDVD4kFQtNtYaVFqhArz/PtC5szV75fJlq0OdOnDgADz3HNhsbq1VRETujE67SKp14gQ8+ywsXgw+XMH06Q+MTujw0kswevS1lcVERCStUPiQVOvPP63gkYnTTOFZarEgYePo0fDqq+4rTkRE7ppOu0iq9eSTMLDvVebQwBE8Yr18MP0HwCuvuLc4ERG5azryIanXsWP0/a0lNlYCcCVTNnynfw+PP+7mwkRE5F4ofEjqtGIFNGuG7fhxAIy3N74zpkK1am4uTERE7lWST7usWLGC+vXrkytXLmw2G7NmzXLa3rp1a2w2m9PPk08+mVz1Sjr022+wdeu1O3Fx0KcPVK0K14IHmTNjW7RIwUNEJJ1Icvg4f/48Dz74IKNHj75lnyeffJLDhw87fiZPnnxPRUr6ZIx13beqVaFRI4jesBdq1IAhQ6yNYN1ft87qJCIi6UKST7vUrl2b2rVr37aP3W4nLCzsrouS9O/yZetqtJ9/DqEcpfXOT/AtMwJiz1sdbDbrwi39+4OPzg6KiKQnKfJbfdmyZYSGhpI5c2Yef/xxBg0aRNasWW/aNyYmhpiYGMf96OjolChJUpnLl2HVKmjILMbyEtk5AbHXNubNC199ZR31EBGRdCfZp9o++eSTTJgwgcWLFzN06FCWL19O7dq1iY2NvWn/yMhIQkJCHD/h4eHJXZKkQoH2K6wo14NZNLaCxzVxL74EmzYpeIiIpGM2Y+JPrt/Fg202Zs6cSaNGjW7ZZ8+ePURERLBo0SKqV6+eaPvNjnyEh4cTFRVFcHDw3ZYmqdmhQ/DMM7BypaPpaLGq5JjzJUREuLEwERG5W9HR0YSEhNzR93eKLzJWsGBBsmXLxq5du2663W63Exwc7PQj6ZQxMHYs3H9/QvDw9eXCB6PJsXmJgoeIiIdI8fBx8OBBTp48Sc6cOVP6pSQVungRpk0Dzp2DF16A9u3h/LVBpXnywIoVZHj9VV0UTkTEgyR5wOm5c+ecjmLs3buX9evXkyVLFrJkycLAgQNp2rQpYWFh7N69mzfeeIP77ruPWrVqJWvhkvodPgwNG0LYmjnUzdSBDGcOJ2xs29aaUps9u/sKFBERt0jykY8///yT0qVLU7p0aQC6d+9O6dKl6devH97e3mzcuJEGDRpw//33065dO8qUKcMvv/yC3W5P9uIl9dq0CR55+CpPrBnMLBolBI+gIJgyxZrNouAhIuKRknzko2rVqtxujOr8+fPvqSBJHzZ98xc/HnyBEmxxtK0JeJSHVn+Jd9H73ViZiIi4m65qK8nv++9p/kl5R/CIw8aITH3J8MdyBQ8REVH4kGRkDIwcCc8+i+3qVQBO+4XSsfhymv/9DsVLaFCpiIgofEhyiY2Frl2tNdPjVa+O756/GfbnoxreISIiDgofck+OHYOT249DgwYwYkTChl69YOFCAnOH4O/vvvpERCT10RW75K79/Te0rbGfycerk/XStenX3t7WQmJt2ri3OBERSbUUPuSurFkDvWqu4/sz9cjNIQBMaCi2776DJ55wc3UiIpKa6bSLJNnVq/BWk22MP9PQETz+phCfv/ingoeIiPwnhQ9JMp/F85l3ugJ5OQDAJkrQ6YEVNOqsKxKLiMh/02kXSZrZs+Gpp/C+cgWADTzI0EfnMv1/YQQFubk2ERFJE3TkQ+7c9OnQrBlcCx40bsz5+SsZvyiPgoeIiNwxhQ/5b8bA4MFW8Li2eBgtW8LUqTxSMxA/P/eWJyIiaYtOu8gtnT8PbZ67wqjYDoT++HXChtat4csvrWm1IiIiSaTwITd15gw0rH2Z139vSihzEzYMHgy9e4OXDpqJiMjdUfiQRE6ehLaP7mTYtmd4iHUAXMLO6eETyNnlaTdXJyIiaZ3+fJVEgresYuze6o7gcRF/ngmax7+VFDxEROTeKXyIsxEj8H38UUIvWWt47CKCZ7Iu5r1V1Shb1s21iYhIuqDTLpJg8mTo0sVx92r5RxiadRrDR+aiYEE31iUiIumKwodYliyxZrHE69kTn/feY6yPPiIiIpK89M3i4Q4cgDz//IqtTh24fNlqfPFFGDoUbDb3FiciIumSxnx4sN9+g5cLL+PK47UgJsZqrFcPPv1UwUNERFKMjnx4qJUr4cMn5jP9UiP8uGQ11qwJM2aAr697ixMRkXRNRz480PFjhklPfM33lxoQcC14/Eg9pj03W8FDRERSnI58eJq4OLK/9TKfXvrS0TSNZkysPZHvn9ZFWkREJOXpyIcnMQa6d7euy3LNWF5kcv3JfD/TD7vdjbWJiIjH0JEPT9KvH3zyiXXbywu+/ZZcIS2Y8gS6Mq2IiLiMwocniI2F/v2ti8LF+/JLaNGCuu6rSkREPJROu6Rzm38/x5V6jZ2Dx4gR0KaN+4oSERGPpiMf6diGv2L5t0pLSlz50Wrw8oIPP4TOnd1bmIiIeDSFj3Rq68arHK3QiDpX/gfAFXw4/90cMjWv7ebKRETE0+m0Szpkzl/gWJWm1LwWPK7iTVOm8+YvCh4iIuJ+OvKR3ly9iq1JY6pGLQDgMr40ZDYXH6vNhx+6uTYREREUPtIXY6BHD1hgBY+4wCDaBs4kqkB1FsyFDBncXJ+IiAgKH+lLnz7WTBYAHx+8/jeXIQWrEBQEgYHuLU1ERCSewkd6MWkSDB2acP+zz6BKFfK4ryIREZGb0oDTNC42FvbO2QQvvpjQOGIEtGvnvqJERERuQ+EjDTMG3nzhIHGNGsPFi1Zju3bQqZN7CxMREbkNhY80rP+bV3hmUgMizG4ATucvDaNGgc3m5spERERuTeEjjZo+HWKGfMxDrAPgILmpeGg6h0/7u7kyERGR29OA0zSqXvAKGnj1gziIxYumtpm8N7kAOXO6uzIREZHbU/hIiw4dwt62JcRdBmAY3Xjx83I0aeLmukRERO6AwkdaEx0NtWvDwYPW/cce49HBQyhfyb1liYiI3CmFj7Tk8mVo0gQ2brTu588PU6ZQPkz/jCIiknZowGkaEBuLNa+2XTtYvNhqzJIFfv4ZwsLcWpuIiEhSKXykcsZAhw6w4OG34bvvrEZ/f5g7FwoXdm9xIiIidyHJ4WPFihXUr1+fXLlyYbPZmDVrltN2Ywz9+vUjZ86cBAQEUKNGDXbu3Jlc9XqckSPh6pfjqPnnewAYLy+YPBkqVnRzZSIiIncnyeHj/PnzPPjgg4wePfqm299//31GjBjBZ599xurVq8mYMSO1atXi0qVL91ysp1m4EHZ0/ZSvSFgqfVTEcEzDRu4rSkRE5B4leaRi7dq1qV279k23GWMYPnw4b7/9Ng0bNgRgwoQJ5MiRg1mzZvHss8/eW7UeJu6nnxlpOuGFAWAEncn1XmctYCoiImlaso752Lt3L0eOHKFGjRqOtpCQEMqXL8+qVatu+piYmBiio6OdfgTYv59aE1o6gsfntOd032E0a+bmukRERO5RsoaPI0eOAJAjRw6n9hw5cji23SgyMpKQkBDHT3h4eHKWlDbFxMBTT8GpUwCcr1aPvT3H0HeAt5sLExERuXdun+3Sp08foqKiHD8HDhxwd0nu9/rr8Mcf1u0CBcg4fQJD3vfCy+3/WiIiIvcuWb/Owq6tOXH06FGn9qNHjzq23chutxMcHOz049GWLrWuTAtgt8MPP0DmzO6tSUREJBkla/goUKAAYWFhLI5fCAuIjo5m9erVVNTU0NvauxdOHboEL7+c0PjRR/DQQ+4rSkREJAUkebbLuXPn2LVrl+P+3r17Wb9+PVmyZCFv3rx07dqVQYMGUahQIQoUKEDfvn3JlSsXjRo1Ss6605Vz56BePXjl30F0irq2Jsojj8Arr7i3MBERkRSQ5PDx559/Uq1aNcf97t27A9CqVSvGjx/PG2+8wfnz52nfvj1nzpyhcuXK/Pzzz/j7+ydf1emIMfDSSxC2dTGvYi0kFuvti/cXX6BBHiIikh7ZjDHG3UVcLzo6mpCQEKKiojxi/Mdnn8F7r+xnDeXIwTEARuYYxMv738LPz83FiYiI3KGkfH/rT2s3a1A1miUZ6jmCx0KfJ6nzSx8FDxERSbd0LXZ3io0lV4/mcGETAH9TiNjx3xFRSJlQRETSL33LudOAAfDTT9btLFmIm/M/nmyZ1a0liYiIpDQd+XCX6dNh0CDrtrc3/PADRaoVcm9NIiIiLqAjH+6waBE880zC/aFD4boZRCIiIumZwocLXbgAS8buhqefhthYq/G55+DadGURERFPoPDhQt1fu0rG9i3g9GmroV49GD8ebDa31iUiIuJKCh8uMmcOZP8qkvJYF4zb51eI7X0nWuM9REREPIjChwucPg2ft15FfwYCEIsXrb2+xRaS/hdRExERuZHChwtkMqeZYnsWH6xxHoN5i+dHladwYTcXJiIi4gYKHy5ge6UDQaf2A7A+qDJ/1e1H27ZuLkpERMRNtM5HSpsxA6ZOtW5nzswDf03im8w+GmMqIiIeS+EjJe3ZA+3aJdwfNQrv/OGEuK8iERERt9Npl5RiDHToAGfOWPebNoXmzd1akoiISGqgIx8p4MQJCFj4IxkXLrQa8uWDr7/Weh4iIiLoyEeK6PbiWU483zWh4cMPIVjTakVEREDhI9nNmgXVZnchX+xeADZnr8rxKk3dW5SIiEgqovCRjM6cgbltptOWcQBEE0SrK1/pdIuIiMh1FD6S0aXjZxl6sbPjfmdG0m1kQbJnd2NRIiIiqYwGnCajsK/fg5jDAMzzrc+xx1+gZUs3FyUiIpLKKHwkl1274OOPrdt+fjz8yzC+zG3TGRcREZEbKHwklx494PJl63b37mR9OMK99YiIiKRSGvORHObOhTlzrNs5c8Kbb7q3HhERkVRM4eNenTsH7dsn3B86FIKC3FePiIhIKqfwcQ/++gvmVBoKh61Bpjz5JDz3nHuLEhERSeUUPu6SMTC0436e2PghALHevlz9eITW9BAREfkPCh93ae5caPB7HwK4BMAnsZ34cnkhN1clIiKS+mm2y10wBqb2WM23TALgBFkZl6cvf7Ryc2EiIiJpgI583AWbDb7I2d9xfwAD6D0kMwEBbixKREQkjdCRj7uxeTMBK+YDEJMzP6beyzRv7uaaRERE0ggd+bgbw4Y5btp7dWX0F754aU+KiIjcEX1lJtWRI/Ddd9btkBBo29a99YiIiKQxCh9JNWRIwjLqL7+sBcVERESSSOHjDsXFYV08bvRoqyFDBujSxa01iYiIpEUKH3eoZ09Y/EQkXL1qNbz+OuTK5d6iRERE0iCFjztw6BD8OHo/VfZNAOC8bwj7m3V3c1UiIiJpk8LHHRgyBLrEDMUX66jH8KudiQ0McXNVIiIiaZPCx3+4dAlWTNjHi3wJwFkCOfl8VwoUcHNhIiIiaZTCx3/w94dVdd7FjjXD5VNbJ7q+m9XNVYmIiKRdCh//5ehRAqZb63qYkBDKTOtN3rxurklERCQNU/j4L59+6ljXw/byy9RoqrEeIiIi90Lh43YuXrTCB4CPD3Tu7N56RERE0gGFj9v57js4ccK6/fTTkCePe+sRERFJBxQ+biUuzukCcnTr5r5aRERE0pFkDx8DBgzAZrM5/RQpUiS5XyZFrV4N/R7+GbZtsxqqVIGyZd1blIiISDrhkxJPWrx4cRYtWpTwIj4p8jIpZtQoaLX2Y8f9JaW687gb6xEREUlPUiQV+Pj4EBYWlhJPneKOHoVtUzZQg8UA7OQ+/gyrp/AhIiKSTFJkzMfOnTvJlSsXBQsWpGXLluzfv/+WfWNiYoiOjnb6caexY6HT1YSxHqN8utL2JW83ViQiIpK+JHv4KF++POPHj+fnn39mzJgx7N27l0cffZSzZ8/etH9kZCQhISGOn/Dw8OQuKUk6NjnM896TADhFZmKebU22bG4tSUREJF2xGWNMSr7AmTNnyJcvHx9//DHt2rVLtD0mJoaYmBjH/ejoaMLDw4mKiiI4ODglS7u5t9+GwYMBONqmN+feiiQiwvVliIiIpCXR0dGEhITc0fd3io8EzZQpE/fffz+7du266Xa73Y7dbk/pMu7M5cvw2WfWbR8fcrzbiRy53VuSiIhIepPi63ycO3eO3bt3kzNnzpR+qXu3eDGcPGndbtIEcit5iIiIJLdkDx+vv/46y5cvZ9++ffz22280btwYb29vmjdvntwvlfx++CHh9rPPuq8OERGRdCzZT7scPHiQ5s2bc/LkSbJnz07lypX5/fffyZ49e3K/VPK6cgVmzbJuBwbCk0+6tRwREZH0KtnDx5QpU5L7KVPcgQNw4KslPHLqlNVQrx4EBLi3KBERkXRK13YBJkyALQMTTrlsKtzMjdWIiIikbwofwPQpV2jMTADOk4GvDtV2c0UiIiLpl8eHj23bIOvmZWTDmuUyl3o0eS6Dm6sSERFJvzw+fJw7B53DEk65LM7UjMqV3ViQiIhIOpe2LjebAsqVvgpXZwBwxTeA0m/VwcvjI5mIiEjK0dfsihVw4gQAvg3r8srrGd1ckIiISPqm8DFtWsLtZprlIiIiktI8O3zExsIM65QL/v5Qt6576xEREfEAnh0+fvkFjh2zbtepY61sKiIiIinKs8PH7NkJt3XKRURExCU8Nny8+SYcGL8IAOPlpWu5iIiIuIjHho+lk48QfmYzAGviyjJlfmY3VyQiIuIZPDJ8HDwIBfctdtxfRHWKFHFjQSIiIh7EI8PH0qXwOEsc9/8IrE7Jkm4sSERExIN45AqnFStC1izL4BTE4Ie92iNa1VRERMRFPDJ83Oe3H07tAcD30QqM/DLAzRWJiIh4Ds/8e3/pUsdNr8erERrqxlpEREQ8jMeHD6pVc18dIiIiHsgzw8dvv1n/tduhQgX31iIiIuJhPC98REXBzp3W7QcftAKIiIiIuIznhY/16xNulynjtjJEREQ8lUeFj927YWCDtY77WwPKEBfnxoJEREQ8kEeFjzVrICL6L8f9zuMewmZzY0EiIiIeyKPCx5YtUJwtAFzFm4zliil8iIiIuJhHhY9tW+IozA4AdhPB/Q9osKmIiIireVT46N/6HzJwEYCT2YtSvrybCxIREfFAHrW8+gM+2xy3H2lXFJ5yYzEiIiIeyqOOfLAtIXxQtKj76hAREfFgnhU+/v474XaRIu6rQ0RExIN5VvjYvz/hdoEC7qtDRETEg3lm+PD3h2zZ3FuLiIiIh/Ks8HHggPXfPHnQAh8iIiLu4THho02TKDh7FoBdl8OdLvEiIiIiruMx4ePQ6gOO27/uD2f3bjcWIyIi4sE8InzExYHf0YTwcYBwwsPdWJCIiIgH84jwcewY5Ix1Dh958rixIBEREQ/mEeEjKAi6N0sIHwUeDSdHDjcWJCIi4sE8InxkzAhFKmSC4sUhKIjeo8Px9nZ3VSIiIp7JZowx7i7ietHR0YSEhBAVFUVwcHDKvIgxmmorIiKSjJLy/e0RRz4SUfAQERFxG88MHyIiIuI2Ch8iIiLiUgofIiIi4lIKHyIiIuJSKRY+Ro8eTf78+fH396d8+fL88ccfKfVSIiIikoakSPj4/vvv6d69O/379+evv/7iwQcfpFatWhw7diwlXk5ERETSkBRZ56N8+fKUK1eOUaNGARAXF0d4eDidO3emd+/eTn1jYmKIiYlx3I+OjiY8PDxl1/kQERGRZOXWdT4uX77M2rVrqVGjRsKLeHlRo0YNVq1alah/ZGQkISEhjp9wXfFNREQkXUv28HHixAliY2PJccPFU3LkyMGRI0cS9e/Tpw9RUVGOnwMHDiTqIyIiIumHj7sLsNvt2O12d5chIiIiLpLsRz6yZcuGt7c3R48edWo/evQoYWFhyf1yIiIiksYke/jw8/OjTJkyLF682NEWFxfH4sWLqVixYnK/nIiIiKQxKXLapXv37rRq1YqyZcvy8MMPM3z4cM6fP0+bNm3+87Hxk2+io6NTojQRERFJAfHf23cyiTZFwsczzzzD8ePH6devH0eOHKFUqVL8/PPPiQah3szZs2cBNOtFREQkDTp79iwhISG37ZMi63zci7i4OA4dOkRQUBA2my3Znjd+/ZADBw5o/ZAUpn3tGtrPrqH97Dra166RUvvZGMPZs2fJlSsXXl63H9Xh9tkuN/Ly8iJPnjwp9vzBwcH6ULuI9rVraD+7hvaz62hfu0ZK7Of/OuIRTxeWExEREZdS+BARERGX8pjwYbfb6d+/vxY0cwHta9fQfnYN7WfX0b52jdSwn1PdgFMRERFJ3zzmyIeIiIikDgofIiIi4lIKHyIiIuJSCh8iIiLiUgofIiIi4lIeEz5Gjx5N/vz58ff3p3z58vzxxx/uLilNiYyMpFy5cgQFBREaGkqjRo3YsWOHU59Lly7RsWNHsmbNSmBgIE2bNuXo0aNOffbv30/dunXJkCEDoaGh9OzZk6tXr7ryraQpQ4YMwWaz0bVrV0eb9nPy+Pfff3nuuefImjUrAQEBPPDAA/z555+O7cYY+vXrR86cOQkICKBGjRrs3LnT6TlOnTpFy5YtCQ4OJlOmTLRr145z5865+q2kWrGxsfTt25cCBQoQEBBAREQE7777rtOFx7Sf786KFSuoX78+uXLlwmazMWvWLKftybVfN27cyKOPPoq/vz/h4eG8//77yfMGjAeYMmWK8fPzM19//bXZsmWLeemll0ymTJnM0aNH3V1amlGrVi0zbtw4s3nzZrN+/XpTp04dkzdvXnPu3DlHnw4dOpjw8HCzePFi8+eff5oKFSqYRx55xLH96tWrpkSJEqZGjRpm3bp15qeffjLZsmUzffr0ccdbSvX++OMPkz9/flOyZEnTpUsXR7v28707deqUyZcvn2ndurVZvXq12bNnj5k/f77ZtWuXo8+QIUNMSEiImTVrltmwYYNp0KCBKVCggLl48aKjz5NPPmkefPBB8/vvv5tffvnF3HfffaZ58+bueEup0uDBg03WrFnN3Llzzd69e820adNMYGCg+eSTTxx9tJ/vzk8//WTeeustM2PGDAOYmTNnOm1Pjv0aFRVlcuTIYVq2bGk2b95sJk+ebAICAsznn39+z/V7RPh4+OGHTceOHR33Y2NjTa5cuUxkZKQbq0rbjh07ZgCzfPlyY4wxZ86cMb6+vmbatGmOPtu2bTOAWbVqlTHG+p/Fy8vLHDlyxNFnzJgxJjg42MTExLj2DaRyZ8+eNYUKFTILFy40jz32mCN8aD8nj169epnKlSvfcntcXJwJCwszH3zwgaPtzJkzxm63m8mTJxtjjNm6dasBzJo1axx95s2bZ2w2m/n3339Trvg0pG7duqZt27ZObU2aNDEtW7Y0xmg/J5cbw0dy7ddPP/3UZM6c2en3Rq9evUzhwoXvueZ0f9rl8uXLrF27lho1ajjavLy8qFGjBqtWrXJjZWlbVFQUAFmyZAFg7dq1XLlyxWk/FylShLx58zr286pVq3jggQfIkSOHo0+tWrWIjo5my5YtLqw+9evYsSN169Z12p+g/Zxc5syZQ9myZXnqqacIDQ2ldOnSjB071rF97969HDlyxGk/h4SEUL58eaf9nClTJsqWLevoU6NGDby8vFi9erXr3kwq9sgjj7B48WL+/vtvADZs2MDKlSupXbs2oP2cUpJrv65atYoqVarg5+fn6FOrVi127NjB6dOn76nGVHdV2+R24sQJYmNjnX4RA+TIkYPt27e7qaq0LS4ujq5du1KpUiVKlCgBwJEjR/Dz8yNTpkxOfXPkyMGRI0ccfW727xC/TSxTpkzhr7/+Ys2aNYm2aT8njz179jBmzBi6d+/Om2++yZo1a3jttdfw8/OjVatWjv10s/14/X4ODQ112u7j40OWLFm0n6/p3bs30dHRFClSBG9vb2JjYxk8eDAtW7YE0H5OIcm1X48cOUKBAgUSPUf8tsyZM991jek+fEjy69ixI5s3b2blypXuLiXdOXDgAF26dGHhwoX4+/u7u5x0Ky4ujrJly/Lee+8BULp0aTZv3sxnn31Gq1at3Fxd+jF16lQmTpzIpEmTKF68OOvXr6dr167kypVL+9nDpfvTLtmyZcPb2zvRbICjR48SFhbmpqrSrk6dOjF37lyWLl1Knjx5HO1hYWFcvnyZM2fOOPW/fj+HhYXd9N8hfptYp1WOHTvGQw89hI+PDz4+PixfvpwRI0bg4+NDjhw5tJ+TQc6cOSlWrJhTW9GiRdm/fz+QsJ9u93sjLCyMY8eOOW2/evUqp06d0n6+pmfPnvTu3Ztnn32WBx54gOeff55u3boRGRkJaD+nlOTaryn5uyTdhw8/Pz/KlCnD4sWLHW1xcXEsXryYihUrurGytMUYQ6dOnZg5cyZLlixJdCiuTJky+Pr6Ou3nHTt2sH//fsd+rlixIps2bXL6wC9cuJDg4OBEXwSeqnr16mzatIn169c7fsqWLUvLli0dt7Wf712lSpUSTRX/+++/yZcvHwAFChQgLCzMaT9HR0ezevVqp/185swZ1q5d6+izZMkS4uLiKF++vAveRep34cIFvLycv2a8vb2Ji4sDtJ9TSnLt14oVK7JixQquXLni6LNw4UIKFy58T6dcAM+Zamu328348ePN1q1bTfv27U2mTJmcZgPI7b3yyismJCTELFu2zBw+fNjxc+HCBUefDh06mLx585olS5aYP//801SsWNFUrFjRsT1+CmjNmjXN+vXrzc8//2yyZ8+uKaD/4frZLsZoPyeHP/74w/j4+JjBgwebnTt3mokTJ5oMGTKY7777ztFnyJAhJlOmTGb27Nlm48aNpmHDhjedqli6dGmzevVqs3LlSlOoUCGPnwJ6vVatWpncuXM7ptrOmDHDZMuWzbzxxhuOPtrPd+fs2bNm3bp1Zt26dQYwH3/8sVm3bp35559/jDHJs1/PnDljcuTIYZ5//nmzefNmM2XKFJMhQwZNtU2KkSNHmrx58xo/Pz/z8MMPm99//93dJaUpwE1/xo0b5+hz8eJF8+qrr5rMmTObDBkymMaNG5vDhw87Pc++fftM7dq1TUBAgMmWLZvp0aOHuXLliovfTdpyY/jQfk4eP/74oylRooSx2+2mSJEi5osvvnDaHhcXZ/r27Wty5Mhh7Ha7qV69utmxY4dTn5MnT5rmzZubwMBAExwcbNq0aWPOnj3ryreRqkVHR5suXbqYvHnzGn9/f1OwYEHz1ltvOU3d1H6+O0uXLr3p7+RWrVoZY5Jvv27YsMFUrlzZ2O12kzt3bjNkyJBkqd9mzHVLzYmIiIiksHQ/5kNERERSF4UPERERcSmFDxEREXEphQ8RERFxKYUPERERcSmFDxEREXEphQ8RERFxKYUPERERcSmFDxEREXEphQ8RERFxKYUPERERcan/A3MajgxdIuNbAAAAAElFTkSuQmCC", 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Pour faire simple, je recommande deux options :\n", "\n", "* Soit convertir les dates/heures au format chaînes de caractères ``AAAA-MM-JJ hh:mm:ss:ms`` qui permet de trier les dates par ordre croissant.\n", - "* Soit convertir les dates/heures au format [datetime](https://docs.python.org/3/library/datetime.html) (date) ou [timedelta](https://docs.python.org/3/library/datetime.html#timedelta-objects) (durée) (voir [Quelques notions sur les dates](http://www.xavierdupre.fr/blog/notebooks/example%20pyensae.html#date), [format de date/heure](https://docs.python.org/3/library/datetime.html#strftime-strptime-behavior)).\n", + "* Soit convertir les dates/heures au format [datetime](https://docs.python.org/3/library/datetime.html) (date) ou [timedelta](https://docs.python.org/3/library/datetime.html#timedelta-objects) (durée), voir [format de date/heure](https://docs.python.org/3/library/datetime.html#strftime-strptime-behavior)).\n", "\n", "Par exemple, voici le code qui a permis de générer la colonne seconde de la table marathon :" ] diff --git a/_doc/practice/exams.rst b/_doc/practice/exams.rst index 53ae352f..48b5a804 100644 --- a/_doc/practice/exams.rst +++ b/_doc/practice/exams.rst @@ -11,28 +11,28 @@ Séances notées Enoncés +++++++ -* `td_node_2006 `_ -* `td_node_2007 `_ -* `td_node_2008 `_ -* `td_node_2009 `_ -* `td_node_2010 `_ -* `td_note_2010_rattrape `_ -* `td_node_2011 `_ -* `td_node_2012 `_ -* `td_node_2013 `_ -* `td_note_2013_rattrape `_ -* `td_note_2014 `_ -* `td_node_2015 `_ -* `td_node_2016 `_ -* `td_node_2017 `_ (broken) -* `td_node_2018 `_ -* `td_node_2019 `_ -* `td_node_2020 `_ -* `td_node_2021 `_ -* `td_node_2022 `_ -* `td_note_2022_rattrapage `_ -* `td_note_2022_rattrapage2 `_ -* `td_node_2023 `_ +* :download:`td_node_2006 ` +* :download:`td_node_2007 ` +* :download:`td_node_2008 ` +* :download:`td_node_2009 ` +* :download:`td_node_2010 ` +* :download:`td_note_2010_rattrape ` +* :download:`td_node_2011 ` +* :download:`td_node_2012 ` +* :download:`td_node_2013 ` +* :download:`td_note_2013_rattrape ` +* :download:`td_note_2014 ` +* :download:`td_node_2015 ` +* :download:`td_node_2016 ` +* :download:`td_node_2017 ` (broken) +* :download:`td_node_2018 ` +* :download:`td_node_2019 ` +* :download:`td_node_2020 ` +* :download:`td_node_2021 ` +* :download:`td_node_2022 ` +* :download:`td_note_2022_rattrapage ` +* :download:`td_note_2022_rattrapage2 ` +* :download:`td_node_2023 ` Corrections +++++++++++ diff --git a/_doc/practice/exams/README.txt b/_doc/practice/exams/README.txt deleted file mode 100644 index ac68996e..00000000 --- a/_doc/practice/exams/README.txt +++ /dev/null @@ -1,6 +0,0 @@ - -1A - Examens et solutions -------------------------- - -Le cours d'introduction à l'algorithmie est conclu par une séance de TD noté. -Ces notebooks implémentent les solutions. diff --git a/requirements-dev.txt b/requirements-dev.txt index c2de8362..4b4739eb 100644 --- a/requirements-dev.txt +++ b/requirements-dev.txt @@ -4,6 +4,7 @@ blockdiag cloudpickle coverage cytoolz +dbfread furo ipython jupyter From f46a1d03d6569c62bdd964be7b6d91c01f212e08 Mon Sep 17 00:00:00 2001 From: Xavier Dupre Date: Mon, 28 Aug 2023 12:28:16 +0200 Subject: [PATCH 09/17] fix issues --- _doc/c_data/nb_dataframe.ipynb | 425 +++++++++++++++------------------ _doc/c_data/nb_pandas.ipynb | 22 +- 2 files changed, 197 insertions(+), 250 deletions(-) diff --git a/_doc/c_data/nb_dataframe.ipynb b/_doc/c_data/nb_dataframe.ipynb index 63b2d794..3c3b3b7c 100644 --- a/_doc/c_data/nb_dataframe.ipynb +++ b/_doc/c_data/nb_dataframe.ipynb @@ -11,7 +11,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 217, "metadata": { "collapsed": true }, @@ -49,7 +49,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 218, "metadata": {}, "outputs": [ { @@ -59,7 +59,7 @@ "" ] }, - "execution_count": 27, + "execution_count": 218, "metadata": {}, "output_type": "execute_result" } @@ -88,7 +88,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 219, "metadata": {}, "outputs": [ { @@ -102,7 +102,7 @@ "dtype: object" ] }, - "execution_count": 28, + "execution_count": 219, "metadata": {}, "output_type": "execute_result" } @@ -125,7 +125,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 220, "metadata": {}, "outputs": [ { @@ -138,7 +138,7 @@ "dtype: int64" ] }, - "execution_count": 29, + "execution_count": 220, "metadata": {}, "output_type": "execute_result" } @@ -162,7 +162,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 221, "metadata": {}, "outputs": [ { @@ -177,7 +177,7 @@ "dtype: bool" ] }, - "execution_count": 30, + "execution_count": 221, "metadata": {}, "output_type": "execute_result" } @@ -198,7 +198,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 222, "metadata": {}, "outputs": [ { @@ -213,7 +213,7 @@ "dtype: float64" ] }, - "execution_count": 31, + "execution_count": 222, "metadata": {}, "output_type": "execute_result" } @@ -235,7 +235,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 223, "metadata": {}, "outputs": [ { @@ -256,7 +256,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 224, "metadata": {}, "outputs": [ { @@ -271,7 +271,7 @@ "dtype: float64" ] }, - "execution_count": 33, + "execution_count": 224, "metadata": {}, "output_type": "execute_result" } @@ -291,7 +291,7 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 225, "metadata": {}, "outputs": [ { @@ -343,7 +343,7 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 226, "metadata": {}, "outputs": [ { @@ -395,7 +395,7 @@ "1 2014-06-23 221.0 euros" ] }, - "execution_count": 35, + "execution_count": 226, "metadata": {}, "output_type": "execute_result" } @@ -420,7 +420,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 227, "metadata": {}, "outputs": [ { @@ -472,7 +472,7 @@ "1 2014-06-23 NaN euros" ] }, - "execution_count": 36, + "execution_count": 227, "metadata": {}, "output_type": "execute_result" } @@ -495,7 +495,7 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 228, "metadata": {}, "outputs": [ { @@ -506,7 +506,7 @@ "Name: prix, dtype: float64" ] }, - "execution_count": 37, + "execution_count": 228, "metadata": {}, "output_type": "execute_result" } @@ -524,7 +524,7 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 229, "metadata": {}, "outputs": [ { @@ -535,7 +535,7 @@ "Name: prix, dtype: float64" ] }, - "execution_count": 38, + "execution_count": 229, "metadata": {}, "output_type": "execute_result" } @@ -553,7 +553,7 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 230, "metadata": {}, "outputs": [ { @@ -602,7 +602,7 @@ "1 2014-06-23 NaN" ] }, - "execution_count": 39, + "execution_count": 230, "metadata": {}, "output_type": "execute_result" } @@ -620,7 +620,7 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 231, "metadata": {}, "outputs": [ { @@ -675,7 +675,7 @@ "devise euros euros" ] }, - "execution_count": 40, + "execution_count": 231, "metadata": {}, "output_type": "execute_result" } @@ -696,7 +696,7 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 232, "metadata": {}, "outputs": [ { @@ -715,7 +715,7 @@ "['/bin/bash: line 1: exemple.xlsx: command not found']" ] }, - "execution_count": 41, + "execution_count": 232, "metadata": {}, "output_type": "execute_result" } @@ -753,7 +753,7 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 233, "metadata": {}, "outputs": [ { @@ -832,7 +832,7 @@ "4 PARIS 2007 02:07:17 7637" ] }, - "execution_count": 43, + "execution_count": 233, "metadata": {}, "output_type": "execute_result" } @@ -857,7 +857,7 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 234, "metadata": {}, "outputs": [ { @@ -942,7 +942,7 @@ "max 2011.000000 10028.000000" ] }, - "execution_count": 44, + "execution_count": 234, "metadata": {}, "output_type": "execute_result" } @@ -962,7 +962,7 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 235, "metadata": {}, "outputs": [ { @@ -1014,7 +1014,7 @@ "1 2014-06-23 221.0 euros" ] }, - "execution_count": 45, + "execution_count": 235, "metadata": {}, "output_type": "execute_result" } @@ -1039,7 +1039,7 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 236, "metadata": {}, "outputs": [ { @@ -1051,7 +1051,7 @@ "Name: 1, dtype: object" ] }, - "execution_count": 46, + "execution_count": 236, "metadata": {}, "output_type": "execute_result" } @@ -1069,7 +1069,7 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 237, "metadata": {}, "outputs": [ { @@ -1081,7 +1081,7 @@ "Name: 1, dtype: object" ] }, - "execution_count": 47, + "execution_count": 237, "metadata": {}, "output_type": "execute_result" } @@ -1099,7 +1099,7 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 238, "metadata": {}, "outputs": [ { @@ -1108,7 +1108,7 @@ "'euros'" ] }, - "execution_count": 48, + "execution_count": 238, "metadata": {}, "output_type": "execute_result" } @@ -1126,7 +1126,7 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 239, "metadata": {}, "outputs": [ { @@ -1135,7 +1135,7 @@ "Index(['date', 'prix', 'devise'], dtype='object')" ] }, - "execution_count": 49, + "execution_count": 239, "metadata": {}, "output_type": "execute_result" } @@ -1146,7 +1146,7 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": 240, "metadata": {}, "outputs": [ { @@ -1155,7 +1155,7 @@ "221.0" ] }, - "execution_count": 50, + "execution_count": 240, "metadata": {}, "output_type": "execute_result" } @@ -1173,7 +1173,7 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 241, "metadata": {}, "outputs": [ { @@ -1228,7 +1228,7 @@ "2014-06-23 221.0 euros" ] }, - "execution_count": 51, + "execution_count": 241, "metadata": {}, "output_type": "execute_result" } @@ -1247,7 +1247,7 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": 242, "metadata": {}, "outputs": [ { @@ -1258,7 +1258,7 @@ "Name: 2014-06-23, dtype: object" ] }, - "execution_count": 52, + "execution_count": 242, "metadata": {}, "output_type": "execute_result" } @@ -1276,7 +1276,7 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 243, "metadata": {}, "outputs": [ { @@ -1286,7 +1286,7 @@ "Name: (dupré, xavier), dtype: int64" ] }, - "execution_count": 53, + "execution_count": 243, "metadata": {}, "output_type": "execute_result" } @@ -1311,7 +1311,7 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 244, "metadata": {}, "outputs": [ { @@ -1365,7 +1365,7 @@ " 15 clémence" ] }, - "execution_count": 54, + "execution_count": 244, "metadata": {}, "output_type": "execute_result" } @@ -1397,7 +1397,7 @@ }, { "cell_type": "code", - "execution_count": 60, + "execution_count": 245, "metadata": {}, "outputs": [ { @@ -1476,7 +1476,7 @@ "4 PARIS 2007 02:07:17 7637" ] }, - "execution_count": 60, + "execution_count": 245, "metadata": {}, "output_type": "execute_result" } @@ -1497,7 +1497,7 @@ }, { "cell_type": "code", - "execution_count": 61, + "execution_count": 246, "metadata": {}, "outputs": [ { @@ -1560,7 +1560,7 @@ "5 PARIS 2006 02:08:03 7683" ] }, - "execution_count": 61, + "execution_count": 246, "metadata": {}, "output_type": "execute_result" } @@ -1578,7 +1578,7 @@ }, { "cell_type": "code", - "execution_count": 62, + "execution_count": 247, "metadata": {}, "outputs": [ { @@ -1639,7 +1639,7 @@ "6 2005 02:08:02" ] }, - "execution_count": 62, + "execution_count": 247, "metadata": {}, "output_type": "execute_result" } @@ -1657,7 +1657,7 @@ }, { "cell_type": "code", - "execution_count": 63, + "execution_count": 248, "metadata": {}, "outputs": [ { @@ -1718,7 +1718,7 @@ "6 2005 02:08:02" ] }, - "execution_count": 63, + "execution_count": 248, "metadata": {}, "output_type": "execute_result" } @@ -1763,7 +1763,7 @@ }, { "cell_type": "code", - "execution_count": 64, + "execution_count": 249, "metadata": { "collapsed": true }, @@ -1794,7 +1794,7 @@ }, { "cell_type": "code", - "execution_count": 76, + "execution_count": 250, "metadata": {}, "outputs": [ { @@ -1838,7 +1838,7 @@ }, { "cell_type": "code", - "execution_count": 77, + "execution_count": 251, "metadata": {}, "outputs": [ { @@ -1901,7 +1901,7 @@ "285 BOSTON 1971 02:18:45 8325" ] }, - "execution_count": 77, + "execution_count": 251, "metadata": {}, "output_type": "execute_result" } @@ -1913,7 +1913,7 @@ }, { "cell_type": "code", - "execution_count": 78, + "execution_count": 252, "metadata": {}, "outputs": [ { @@ -1960,7 +1960,7 @@ "285 BOSTON 1971 02:18:45 8325" ] }, - "execution_count": 78, + "execution_count": 252, "metadata": {}, "output_type": "execute_result" } @@ -1979,7 +1979,7 @@ }, { "cell_type": "code", - "execution_count": 79, + "execution_count": 253, "metadata": {}, "outputs": [ { @@ -2026,7 +2026,7 @@ "285 BOSTON 1971 02:18:45 8325" ] }, - "execution_count": 79, + "execution_count": 253, "metadata": {}, "output_type": "execute_result" } @@ -2050,7 +2050,7 @@ }, { "cell_type": "code", - "execution_count": 80, + "execution_count": 254, "metadata": {}, "outputs": [ { @@ -2059,7 +2059,7 @@ "((359, 4), (718, 4))" ] }, - "execution_count": 80, + "execution_count": 254, "metadata": {}, "output_type": "execute_result" } @@ -2071,7 +2071,7 @@ }, { "cell_type": "code", - "execution_count": 81, + "execution_count": 255, "metadata": {}, "outputs": [ { @@ -2080,7 +2080,7 @@ "((359, 4), (359, 8))" ] }, - "execution_count": 81, + "execution_count": 255, "metadata": {}, "output_type": "execute_result" } @@ -2103,7 +2103,7 @@ }, { "cell_type": "code", - "execution_count": 82, + "execution_count": 256, "metadata": {}, "outputs": [ { @@ -2182,7 +2182,7 @@ "276 STOCKOLM 2011 02:14:07 8047" ] }, - "execution_count": 82, + "execution_count": 256, "metadata": {}, "output_type": "execute_result" } @@ -2210,16 +2210,16 @@ }, { "cell_type": "code", - "execution_count": 83, + "execution_count": 257, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "" + "" ] }, - "execution_count": 83, + "execution_count": 257, "metadata": {}, "output_type": "execute_result" } @@ -2231,7 +2231,7 @@ }, { "cell_type": "code", - "execution_count": 90, + "execution_count": 258, "metadata": {}, "outputs": [ { @@ -2311,7 +2311,7 @@ "2007 9 9 9" ] }, - "execution_count": 90, + "execution_count": 258, "metadata": {}, "output_type": "execute_result" } @@ -2323,7 +2323,7 @@ }, { "cell_type": "code", - "execution_count": 92, + "execution_count": 259, "metadata": {}, "outputs": [ { @@ -2374,7 +2374,7 @@ "2010 68673" ] }, - "execution_count": 92, + "execution_count": 259, "metadata": {}, "output_type": "execute_result" } @@ -2386,7 +2386,7 @@ }, { "cell_type": "code", - "execution_count": 93, + "execution_count": 260, "metadata": {}, "outputs": [ { @@ -2442,7 +2442,7 @@ "2009 7652.555556" ] }, - "execution_count": 93, + "execution_count": 260, "metadata": {}, "output_type": "execute_result" } @@ -2461,7 +2461,7 @@ }, { "cell_type": "code", - "execution_count": 94, + "execution_count": 261, "metadata": {}, "outputs": [ { @@ -2516,7 +2516,7 @@ "64 2011 8047" ] }, - "execution_count": 94, + "execution_count": 261, "metadata": {}, "output_type": "execute_result" } @@ -2539,7 +2539,7 @@ }, { "cell_type": "code", - "execution_count": 95, + "execution_count": 262, "metadata": {}, "outputs": [ { @@ -2600,7 +2600,7 @@ "2011 5 8047" ] }, - "execution_count": 95, + "execution_count": 262, "metadata": {}, "output_type": "execute_result" } @@ -2623,7 +2623,7 @@ }, { "cell_type": "code", - "execution_count": 96, + "execution_count": 263, "metadata": { "collapsed": true }, @@ -2634,7 +2634,7 @@ }, { "cell_type": "code", - "execution_count": 97, + "execution_count": 264, "metadata": {}, "outputs": [ { @@ -2660,7 +2660,7 @@ " 251]" ] }, - "execution_count": 97, + "execution_count": 264, "metadata": {}, "output_type": "execute_result" } @@ -2672,25 +2672,25 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 265, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", - "\n", "\n", " \n", @@ -2855,7 +2855,7 @@ "251 STOCKOLM 1986 02:12:33 7953" ] }, - "execution_count": 51, + "execution_count": 265, "metadata": {}, "output_type": "execute_result" } @@ -2888,7 +2888,7 @@ }, { "cell_type": "code", - "execution_count": 98, + "execution_count": 266, "metadata": {}, "outputs": [ { @@ -2898,7 +2898,7 @@ "" ] }, - "execution_count": 98, + "execution_count": 266, "metadata": {}, "output_type": "execute_result" } @@ -2918,7 +2918,7 @@ }, { "cell_type": "code", - "execution_count": 99, + "execution_count": 267, "metadata": {}, "outputs": [ { @@ -2985,7 +2985,7 @@ "4 PARIS France" ] }, - "execution_count": 99, + "execution_count": 267, "metadata": {}, "output_type": "execute_result" } @@ -3004,7 +3004,7 @@ }, { "cell_type": "code", - "execution_count": 100, + "execution_count": 268, "metadata": {}, "outputs": [ { @@ -3085,7 +3085,7 @@ "193 BOSTON 2011 02:03:02 7382 BOSTON USA" ] }, - "execution_count": 100, + "execution_count": 268, "metadata": {}, "output_type": "execute_result" } @@ -3137,7 +3137,7 @@ }, { "cell_type": "code", - "execution_count": 103, + "execution_count": 269, "metadata": {}, "outputs": [ { @@ -3323,7 +3323,7 @@ "2011 02:06:29 02:14:07 " ] }, - "execution_count": 103, + "execution_count": 269, "metadata": {}, "output_type": "execute_result" } @@ -3353,7 +3353,7 @@ }, { "cell_type": "code", - "execution_count": 104, + "execution_count": 270, "metadata": {}, "outputs": [ { @@ -3379,7 +3379,7 @@ }, { "cell_type": "code", - "execution_count": 105, + "execution_count": 271, "metadata": {}, "outputs": [ { @@ -3434,7 +3434,7 @@ "64 2011 8047" ] }, - "execution_count": 105, + "execution_count": 271, "metadata": {}, "output_type": "execute_result" } @@ -3462,7 +3462,7 @@ }, { "cell_type": "code", - "execution_count": 106, + "execution_count": 272, "metadata": { "collapsed": true }, @@ -3481,7 +3481,7 @@ }, { "cell_type": "code", - "execution_count": 107, + "execution_count": 273, "metadata": {}, "outputs": [ { @@ -3490,7 +3490,7 @@ "0.3328334999999999" ] }, - "execution_count": 107, + "execution_count": 273, "metadata": {}, "output_type": "execute_result" } @@ -3545,7 +3545,7 @@ }, { "cell_type": "code", - "execution_count": 108, + "execution_count": 274, "metadata": {}, "outputs": [ { @@ -3554,7 +3554,7 @@ "(100000, 3)" ] }, - "execution_count": 108, + "execution_count": 274, "metadata": {}, "output_type": "execute_result" } @@ -3575,14 +3575,14 @@ }, { "cell_type": "code", - "execution_count": 109, + "execution_count": 275, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "565 µs ± 21.5 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n" + "932 µs ± 252 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n" ] } ], @@ -3599,14 +3599,14 @@ }, { "cell_type": "code", - "execution_count": 110, + "execution_count": 276, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "304 µs ± 38.6 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n" + "391 µs ± 64.7 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n" ] } ], @@ -3619,7 +3619,7 @@ }, { "cell_type": "code", - "execution_count": 111, + "execution_count": 277, "metadata": {}, "outputs": [ { @@ -3656,23 +3656,23 @@ " \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", "
1194
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\n", @@ -3681,14 +3681,14 @@ "text/plain": [ " autre\n", "cle1 cle2 \n", - "1 1 9\n", - " 1 10\n", - " 1 6\n", - " 1 6\n", - " 1 9" + "1 1 4\n", + " 1 3\n", + " 1 7\n", + " 1 1\n", + " 1 10" ] }, - "execution_count": 111, + "execution_count": 277, "metadata": {}, "output_type": "execute_result" } @@ -3720,7 +3720,7 @@ }, { "cell_type": "code", - "execution_count": 113, + "execution_count": 278, "metadata": {}, "outputs": [ { @@ -3799,7 +3799,7 @@ "4 PARIS 2007 02:07:17 7637.0" ] }, - "execution_count": 113, + "execution_count": 278, "metadata": {}, "output_type": "execute_result" } @@ -3836,14 +3836,20 @@ }, { "cell_type": "code", - "execution_count": 114, + "execution_count": 279, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Download of etatcivil2012_mar2012_dbase.zip: DONE!\n", + "Download of etatcivil2012_mar2012_dbase.zip: DONE!\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ "Download of etatcivil2012_nais2012_dbase.zip: DONE!\n", "Download of etatcivil2012_dec2012_dbase.zip: DONE!\n" ] @@ -3893,7 +3899,7 @@ }, { "cell_type": "code", - "execution_count": 116, + "execution_count": 280, "metadata": {}, "outputs": [ { @@ -3906,7 +3912,7 @@ " dtype='object'))" ] }, - "execution_count": 116, + "execution_count": 280, "metadata": {}, "output_type": "execute_result" } @@ -3936,7 +3942,7 @@ }, { "cell_type": "code", - "execution_count": 117, + "execution_count": 281, "metadata": {}, "outputs": [ { @@ -4128,7 +4134,7 @@ "15 1 " ] }, - "execution_count": 117, + "execution_count": 281, "metadata": {}, "output_type": "execute_result" } @@ -4150,34 +4156,11 @@ }, { "cell_type": "code", - "execution_count": 118, + "execution_count": 282, "metadata": {}, - "outputs": [ - { - "ename": "KeyError", - "evalue": "Ellipsis", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mKeyError\u001b[0m Traceback (most recent call last)", - "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/pandas/core/indexes/base.py:3653\u001b[0m, in \u001b[0;36mIndex.get_loc\u001b[0;34m(self, key)\u001b[0m\n\u001b[1;32m 3652\u001b[0m \u001b[39mtry\u001b[39;00m:\n\u001b[0;32m-> 3653\u001b[0m \u001b[39mreturn\u001b[39;00m \u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49m_engine\u001b[39m.\u001b[39;49mget_loc(casted_key)\n\u001b[1;32m 3654\u001b[0m \u001b[39mexcept\u001b[39;00m \u001b[39mKeyError\u001b[39;00m \u001b[39mas\u001b[39;00m err:\n", - "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/pandas/_libs/index.pyx:147\u001b[0m, in \u001b[0;36mpandas._libs.index.IndexEngine.get_loc\u001b[0;34m()\u001b[0m\n", - "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/pandas/_libs/index.pyx:176\u001b[0m, in \u001b[0;36mpandas._libs.index.IndexEngine.get_loc\u001b[0;34m()\u001b[0m\n", - "File \u001b[0;32mpandas/_libs/hashtable_class_helper.pxi:7080\u001b[0m, in \u001b[0;36mpandas._libs.hashtable.PyObjectHashTable.get_item\u001b[0;34m()\u001b[0m\n", - "File \u001b[0;32mpandas/_libs/hashtable_class_helper.pxi:7088\u001b[0m, in \u001b[0;36mpandas._libs.hashtable.PyObjectHashTable.get_item\u001b[0;34m()\u001b[0m\n", - "\u001b[0;31mKeyError\u001b[0m: Ellipsis", - "\nThe above exception was the direct cause of the following exception:\n", - "\u001b[0;31mKeyError\u001b[0m Traceback (most recent call last)", - "Cell \u001b[0;32mIn[118], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m df\u001b[39m.\u001b[39;49mplot(\u001b[39m.\u001b[39;49m\u001b[39m.\u001b[39;49m\u001b[39m.\u001b[39;49m)\n", - "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/pandas/plotting/_core.py:940\u001b[0m, in \u001b[0;36mPlotAccessor.__call__\u001b[0;34m(self, *args, **kwargs)\u001b[0m\n\u001b[1;32m 938\u001b[0m \u001b[39mif\u001b[39;00m is_integer(x) \u001b[39mand\u001b[39;00m \u001b[39mnot\u001b[39;00m data\u001b[39m.\u001b[39mcolumns\u001b[39m.\u001b[39m_holds_integer():\n\u001b[1;32m 939\u001b[0m x \u001b[39m=\u001b[39m data_cols[x]\n\u001b[0;32m--> 940\u001b[0m \u001b[39melif\u001b[39;00m \u001b[39mnot\u001b[39;00m \u001b[39misinstance\u001b[39m(data[x], ABCSeries):\n\u001b[1;32m 941\u001b[0m \u001b[39mraise\u001b[39;00m \u001b[39mValueError\u001b[39;00m(\u001b[39m\"\u001b[39m\u001b[39mx must be a label or position\u001b[39m\u001b[39m\"\u001b[39m)\n\u001b[1;32m 942\u001b[0m data \u001b[39m=\u001b[39m data\u001b[39m.\u001b[39mset_index(x)\n", - "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/pandas/core/frame.py:3761\u001b[0m, in \u001b[0;36mDataFrame.__getitem__\u001b[0;34m(self, key)\u001b[0m\n\u001b[1;32m 3759\u001b[0m \u001b[39mif\u001b[39;00m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39mcolumns\u001b[39m.\u001b[39mnlevels \u001b[39m>\u001b[39m \u001b[39m1\u001b[39m:\n\u001b[1;32m 3760\u001b[0m \u001b[39mreturn\u001b[39;00m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39m_getitem_multilevel(key)\n\u001b[0;32m-> 3761\u001b[0m indexer \u001b[39m=\u001b[39m \u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49mcolumns\u001b[39m.\u001b[39;49mget_loc(key)\n\u001b[1;32m 3762\u001b[0m \u001b[39mif\u001b[39;00m is_integer(indexer):\n\u001b[1;32m 3763\u001b[0m indexer \u001b[39m=\u001b[39m [indexer]\n", - "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/pandas/core/indexes/base.py:3655\u001b[0m, in \u001b[0;36mIndex.get_loc\u001b[0;34m(self, key)\u001b[0m\n\u001b[1;32m 3653\u001b[0m \u001b[39mreturn\u001b[39;00m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39m_engine\u001b[39m.\u001b[39mget_loc(casted_key)\n\u001b[1;32m 3654\u001b[0m \u001b[39mexcept\u001b[39;00m \u001b[39mKeyError\u001b[39;00m \u001b[39mas\u001b[39;00m err:\n\u001b[0;32m-> 3655\u001b[0m \u001b[39mraise\u001b[39;00m \u001b[39mKeyError\u001b[39;00m(key) \u001b[39mfrom\u001b[39;00m \u001b[39merr\u001b[39;00m\n\u001b[1;32m 3656\u001b[0m \u001b[39mexcept\u001b[39;00m \u001b[39mTypeError\u001b[39;00m:\n\u001b[1;32m 3657\u001b[0m \u001b[39m# If we have a listlike key, _check_indexing_error will raise\u001b[39;00m\n\u001b[1;32m 3658\u001b[0m \u001b[39m# InvalidIndexError. Otherwise we fall through and re-raise\u001b[39;00m\n\u001b[1;32m 3659\u001b[0m \u001b[39m# the TypeError.\u001b[39;00m\n\u001b[1;32m 3660\u001b[0m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39m_check_indexing_error(key)\n", - "\u001b[0;31mKeyError\u001b[0m: Ellipsis" - ] - } - ], + "outputs": [], "source": [ - "df.plot(...)" + "# df.plot(...)" ] }, { @@ -4191,14 +4174,14 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 283, "metadata": { "collapsed": true }, "outputs": [], "source": [ - "df[\"colonne\"] = df.apply(lambda r: int(r[\"colonne\"]), axis=1) # pour changer de type\n", - "df[\"difference\"] = ..." + "# df[\"colonne\"] = df.apply(lambda r: int(r[\"colonne\"]), axis=1) # pour changer de type\n", + "# df[\"difference\"] = ..." ] }, { @@ -4212,7 +4195,7 @@ }, { "cell_type": "code", - "execution_count": 120, + "execution_count": 284, "metadata": {}, "outputs": [ { @@ -4279,7 +4262,7 @@ }, { "cell_type": "code", - "execution_count": 121, + "execution_count": 285, "metadata": { "collapsed": true }, @@ -4290,7 +4273,7 @@ }, { "cell_type": "code", - "execution_count": 124, + "execution_count": 286, "metadata": { "collapsed": true }, @@ -4352,7 +4335,7 @@ }, { "cell_type": "code", - "execution_count": 126, + "execution_count": 287, "metadata": {}, "outputs": [ { @@ -4557,7 +4540,7 @@ "[5 rows x 32 columns]" ] }, - "execution_count": 126, + "execution_count": 287, "metadata": {}, "output_type": "execute_result" } @@ -4579,7 +4562,7 @@ }, { "cell_type": "code", - "execution_count": 127, + "execution_count": 288, "metadata": {}, "outputs": [ { @@ -4658,7 +4641,7 @@ "4 0.732512 3925.907588 3 1.0" ] }, - "execution_count": 127, + "execution_count": 288, "metadata": {}, "output_type": "execute_result" } @@ -4670,7 +4653,7 @@ }, { "cell_type": "code", - "execution_count": 128, + "execution_count": 289, "metadata": {}, "outputs": [ { @@ -4756,7 +4739,7 @@ "8401 0.343340 1840.132652 3 1.0" ] }, - "execution_count": 128, + "execution_count": 289, "metadata": {}, "output_type": "execute_result" } @@ -4769,7 +4752,7 @@ }, { "cell_type": "code", - "execution_count": 129, + "execution_count": 290, "metadata": {}, "outputs": [], "source": [ @@ -4806,7 +4789,7 @@ }, { "cell_type": "code", - "execution_count": 130, + "execution_count": 291, "metadata": {}, "outputs": [], "source": [ @@ -4816,7 +4799,7 @@ }, { "cell_type": "code", - "execution_count": 131, + "execution_count": 292, "metadata": {}, "outputs": [], "source": [ @@ -4825,7 +4808,7 @@ }, { "cell_type": "code", - "execution_count": 132, + "execution_count": 293, "metadata": {}, "outputs": [ { @@ -4834,7 +4817,7 @@ "1" ] }, - "execution_count": 132, + "execution_count": 293, "metadata": {}, "output_type": "execute_result" } @@ -4845,16 +4828,16 @@ }, { "cell_type": "code", - "execution_count": 133, + "execution_count": 294, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "((872, 5), (8403, 5))" + "((830, 5), (8403, 5))" ] }, - "execution_count": 133, + "execution_count": 294, "metadata": {}, "output_type": "execute_result" } @@ -4884,7 +4867,7 @@ }, { "cell_type": "code", - "execution_count": 135, + "execution_count": 295, "metadata": {}, "outputs": [ { @@ -4951,7 +4934,7 @@ "4 FUKUOKA 8075.187500" ] }, - "execution_count": 135, + "execution_count": 295, "metadata": {}, "output_type": "execute_result" } @@ -4967,7 +4950,7 @@ }, { "cell_type": "code", - "execution_count": 136, + "execution_count": 296, "metadata": {}, "outputs": [ { @@ -5052,7 +5035,7 @@ "4 PARIS 2007 02:07:17 7637 7937.028571" ] }, - "execution_count": 136, + "execution_count": 296, "metadata": {}, "output_type": "execute_result" } @@ -5065,7 +5048,7 @@ }, { "cell_type": "code", - "execution_count": 138, + "execution_count": 297, "metadata": {}, "outputs": [ { @@ -5195,7 +5178,7 @@ "2011 8047.0 " ] }, - "execution_count": 138, + "execution_count": 297, "metadata": {}, "output_type": "execute_result" } @@ -5223,7 +5206,7 @@ }, { "cell_type": "code", - "execution_count": 140, + "execution_count": 298, "metadata": {}, "outputs": [ { @@ -5297,7 +5280,7 @@ "moyenne NEW YORK PARIS FUKUOKA STOCKOLM " ] }, - "execution_count": 140, + "execution_count": 298, "metadata": {}, "output_type": "execute_result" } @@ -5310,7 +5293,7 @@ }, { "cell_type": "code", - "execution_count": 141, + "execution_count": 299, "metadata": {}, "outputs": [ { @@ -5519,7 +5502,7 @@ "moyenne NEW YORK PARIS FUKUOKA STOCKOLM " ] }, - "execution_count": 141, + "execution_count": 299, "metadata": {}, "output_type": "execute_result" } @@ -5538,7 +5521,7 @@ }, { "cell_type": "code", - "execution_count": 142, + "execution_count": 300, "metadata": {}, "outputs": [ { @@ -5668,7 +5651,7 @@ "moyenne 7695.16129 7928.560976 7937.028571 8133.393939 " ] }, - "execution_count": 142, + "execution_count": 300, "metadata": {}, "output_type": "execute_result" } @@ -5694,7 +5677,7 @@ }, { "cell_type": "code", - "execution_count": 143, + "execution_count": 301, "metadata": {}, "outputs": [ { @@ -5868,7 +5851,7 @@ "4 6 26 99 9 N 1 " ] }, - "execution_count": 143, + "execution_count": 301, "metadata": {}, "output_type": "execute_result" } @@ -5881,7 +5864,7 @@ }, { "cell_type": "code", - "execution_count": 144, + "execution_count": 302, "metadata": {}, "outputs": [ { @@ -6057,7 +6040,7 @@ "4 6 26 99 9 N 1 46 51 " ] }, - "execution_count": 144, + "execution_count": 302, "metadata": {}, "output_type": "execute_result" } @@ -6070,19 +6053,9 @@ }, { "cell_type": "code", - "execution_count": 145, + "execution_count": 303, "metadata": {}, "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 145, - "metadata": {}, - "output_type": "execute_result" - }, { "data": { "image/png": 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", @@ -6100,19 +6073,9 @@ }, { "cell_type": "code", - "execution_count": 146, + "execution_count": 304, "metadata": {}, "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 146, - "metadata": {}, - "output_type": "execute_result" - }, { "data": { "image/png": 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", @@ -6139,19 +6102,9 @@ }, { "cell_type": "code", - "execution_count": 147, + "execution_count": 305, "metadata": {}, "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 147, - "metadata": {}, - "output_type": "execute_result" - }, { "data": { "image/png": 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", @@ -6183,7 +6136,7 @@ }, { "cell_type": "code", - "execution_count": 149, + "execution_count": 306, "metadata": {}, "outputs": [ { diff --git a/_doc/c_data/nb_pandas.ipynb b/_doc/c_data/nb_pandas.ipynb index db793c8d..17c6524a 100644 --- a/_doc/c_data/nb_pandas.ipynb +++ b/_doc/c_data/nb_pandas.ipynb @@ -108,23 +108,17 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 88, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Overwriting data.csv\n" - ] - } - ], + "outputs": [], "source": [ - "%%writefile data.csv\n", + "text = \"\"\"col1,col2\n", + "0.5,alpha\n", + "0.6,beta\n", + "\"\"\"\n", "\n", - "col1, col2\n", - "0.5, alpha\n", - "0.6, beta" + "with open(\"data.csv\", \"w\", encoding=\"utf-8\") as f:\n", + " f.write(text)" ] }, { From 985f191ddad303037fe9f02a09d33a1535a99e11 Mon Sep 17 00:00:00 2001 From: Xavier Dupre Date: Mon, 28 Aug 2023 12:50:54 +0200 Subject: [PATCH 10/17] fix documentation --- .github/workflows/documentation.yml | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/.github/workflows/documentation.yml b/.github/workflows/documentation.yml index 0275f1a4..2c1842e0 100644 --- a/.github/workflows/documentation.yml +++ b/.github/workflows/documentation.yml @@ -82,9 +82,9 @@ jobs: grep ERROR doc.txt exit 1 fi - if [[ $(grep WARNING doc.txt | grep -v 'blockdiag') ]]; then + if [[ $(grep WARNING doc.txt | grep -v 'download') ]]; then echo "Documentation produces warnings." - grep WARNING doc.txt | grep -v 'blockdiag' + grep WARNING doc.txt | grep -v 'download' exit 1 fi From 1ae41c38185fa2e7198fb918febfcb0ef1e3f7e9 Mon Sep 17 00:00:00 2001 From: Xavier Dupre Date: Mon, 28 Aug 2023 13:11:02 +0200 Subject: [PATCH 11/17] fix --- .github/workflows/documentation.yml | 4 +- _doc/c_data/nb_array.ipynb | 355 ++++++++++++++-------------- 2 files changed, 174 insertions(+), 185 deletions(-) diff --git a/.github/workflows/documentation.yml b/.github/workflows/documentation.yml index 2c1842e0..8c4d2e2b 100644 --- a/.github/workflows/documentation.yml +++ b/.github/workflows/documentation.yml @@ -82,9 +82,9 @@ jobs: grep ERROR doc.txt exit 1 fi - if [[ $(grep WARNING doc.txt | grep -v 'download') ]]; then + if [[ $(grep WARNING doc.txt | grep -v '(download)|(CERTIFICATE_VERIFY_FAILED)') ]]; then echo "Documentation produces warnings." - grep WARNING doc.txt | grep -v 'download' + grep WARNING doc.txt | grep -v '(download)|(CERTIFICATE_VERIFY_FAILED)' exit 1 fi diff --git a/_doc/c_data/nb_array.ipynb b/_doc/c_data/nb_array.ipynb index 7c813ec4..6708e8e2 100644 --- a/_doc/c_data/nb_array.ipynb +++ b/_doc/c_data/nb_array.ipynb @@ -13,7 +13,7 @@ }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 76, "metadata": { "collapsed": true }, @@ -38,7 +38,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 77, "metadata": { "collapsed": true }, @@ -64,7 +64,7 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 78, "metadata": {}, "outputs": [ { @@ -84,7 +84,7 @@ "array([ 1, 42, 18])" ] }, - "execution_count": 3, + "execution_count": 78, "metadata": {}, "output_type": "execute_result" } @@ -110,7 +110,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 79, "metadata": {}, "outputs": [ { @@ -130,7 +130,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 80, "metadata": {}, "outputs": [ { @@ -158,7 +158,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 81, "metadata": {}, "outputs": [ { @@ -167,7 +167,7 @@ "array([ 2, 42, 18])" ] }, - "execution_count": 6, + "execution_count": 81, "metadata": {}, "output_type": "execute_result" } @@ -186,7 +186,7 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 82, "metadata": {}, "outputs": [ { @@ -195,7 +195,7 @@ "array([ 2.5, 42. , 18. ])" ] }, - "execution_count": 7, + "execution_count": 82, "metadata": {}, "output_type": "execute_result" } @@ -217,7 +217,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 83, "metadata": {}, "outputs": [ { @@ -260,7 +260,7 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 84, "metadata": {}, "outputs": [ { @@ -288,7 +288,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 85, "metadata": {}, "outputs": [ { @@ -316,7 +316,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 86, "metadata": {}, "outputs": [ { @@ -342,7 +342,7 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 87, "metadata": {}, "outputs": [ { @@ -391,7 +391,7 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 88, "metadata": {}, "outputs": [ { @@ -412,7 +412,7 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 89, "metadata": {}, "outputs": [ { @@ -446,7 +446,7 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 90, "metadata": {}, "outputs": [ { @@ -455,7 +455,7 @@ "array([1. , 1.5, 2. , 2.5, 3. , 3.5, 4. , 4.5, 5. , 5.5])" ] }, - "execution_count": 15, + "execution_count": 90, "metadata": {}, "output_type": "execute_result" } @@ -477,7 +477,7 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 91, "metadata": {}, "outputs": [ { @@ -487,7 +487,7 @@ " 3.5 , 4. , 4.5 , 5. , 5.5 ])" ] }, - "execution_count": 16, + "execution_count": 91, "metadata": {}, "output_type": "execute_result" } @@ -500,7 +500,7 @@ }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 92, "metadata": {}, "outputs": [ { @@ -510,7 +510,7 @@ " 3.5 , 4. , 4.5 , 5. , 5.5 ])" ] }, - "execution_count": 17, + "execution_count": 92, "metadata": {}, "output_type": "execute_result" } @@ -528,7 +528,7 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 93, "metadata": {}, "outputs": [ { @@ -566,7 +566,7 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 94, "metadata": {}, "outputs": [ { @@ -621,7 +621,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 95, "metadata": {}, "outputs": [ { @@ -640,7 +640,7 @@ " [ 9, 10, 11]])" ] }, - "execution_count": 20, + "execution_count": 95, "metadata": {}, "output_type": "execute_result" } @@ -660,7 +660,7 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 96, "metadata": {}, "outputs": [ { @@ -672,7 +672,7 @@ " [ 3, 7, 11]])" ] }, - "execution_count": 21, + "execution_count": 96, "metadata": {}, "output_type": "execute_result" } @@ -690,7 +690,7 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 97, "metadata": {}, "outputs": [ { @@ -699,7 +699,7 @@ "array([0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0])" ] }, - "execution_count": 22, + "execution_count": 97, "metadata": {}, "output_type": "execute_result" } @@ -710,7 +710,7 @@ }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 98, "metadata": {}, "outputs": [ { @@ -719,7 +719,7 @@ "array([1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1])" ] }, - "execution_count": 23, + "execution_count": 98, "metadata": {}, "output_type": "execute_result" } @@ -737,7 +737,7 @@ }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 99, "metadata": {}, "outputs": [ { @@ -747,7 +747,7 @@ " 0, 0, 0, 0, 0, 0, 0])" ] }, - "execution_count": 24, + "execution_count": 99, "metadata": {}, "output_type": "execute_result" } @@ -760,7 +760,7 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 100, "metadata": {}, "outputs": [ { @@ -770,7 +770,7 @@ " [ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]])" ] }, - "execution_count": 25, + "execution_count": 100, "metadata": {}, "output_type": "execute_result" } @@ -782,7 +782,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 101, "metadata": {}, "outputs": [ { @@ -792,7 +792,7 @@ " 1, 1, 1, 1, 1, 1, 1, 1]])" ] }, - "execution_count": 26, + "execution_count": 101, "metadata": {}, "output_type": "execute_result" } @@ -803,7 +803,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 102, "metadata": {}, "outputs": [ { @@ -813,7 +813,7 @@ " 5, 6, 7, 8, 9, 10, 11])" ] }, - "execution_count": 27, + "execution_count": 102, "metadata": {}, "output_type": "execute_result" } @@ -824,7 +824,7 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 103, "metadata": {}, "outputs": [ { @@ -834,7 +834,7 @@ " [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11]])" ] }, - "execution_count": 28, + "execution_count": 103, "metadata": {}, "output_type": "execute_result" } @@ -870,7 +870,7 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 104, "metadata": { "collapsed": true }, @@ -883,7 +883,7 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 105, "metadata": { "collapsed": true }, @@ -894,7 +894,7 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 106, "metadata": { "collapsed": true }, @@ -934,7 +934,7 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 107, "metadata": {}, "outputs": [ { @@ -954,7 +954,7 @@ " [4, 5]])" ] }, - "execution_count": 32, + "execution_count": 107, "metadata": {}, "output_type": "execute_result" } @@ -976,7 +976,7 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 108, "metadata": {}, "outputs": [ { @@ -1011,7 +1011,7 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 109, "metadata": {}, "outputs": [ { @@ -1022,7 +1022,7 @@ " [4, 5]])" ] }, - "execution_count": 34, + "execution_count": 109, "metadata": {}, "output_type": "execute_result" } @@ -1033,7 +1033,7 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 110, "metadata": {}, "outputs": [ { @@ -1052,7 +1052,7 @@ " [0.25 , 0.2 ]])" ] }, - "execution_count": 35, + "execution_count": 110, "metadata": {}, "output_type": "execute_result" } @@ -1077,7 +1077,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 111, "metadata": {}, "outputs": [ { @@ -1086,7 +1086,7 @@ "array([1., 1., 1., 1., 1., 1.])" ] }, - "execution_count": 36, + "execution_count": 111, "metadata": {}, "output_type": "execute_result" } @@ -1098,7 +1098,7 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 112, "metadata": {}, "outputs": [ { @@ -1118,7 +1118,7 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 113, "metadata": {}, "outputs": [ { @@ -1141,7 +1141,7 @@ " [6, 7]])" ] }, - "execution_count": 38, + "execution_count": 113, "metadata": {}, "output_type": "execute_result" } @@ -1168,7 +1168,7 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 114, "metadata": {}, "outputs": [ { @@ -1197,7 +1197,7 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 115, "metadata": {}, "outputs": [ { @@ -1218,7 +1218,7 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 116, "metadata": {}, "outputs": [ { @@ -1263,7 +1263,7 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 117, "metadata": {}, "outputs": [ { @@ -1288,7 +1288,7 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 118, "metadata": {}, "outputs": [ { @@ -1338,7 +1338,7 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 119, "metadata": {}, "outputs": [ { @@ -1349,7 +1349,7 @@ " [1., 1., 1.]])" ] }, - "execution_count": 44, + "execution_count": 119, "metadata": {}, "output_type": "execute_result" } @@ -1361,7 +1361,7 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 120, "metadata": {}, "outputs": [ { @@ -1372,7 +1372,7 @@ " [0, 0, 3]])" ] }, - "execution_count": 45, + "execution_count": 120, "metadata": {}, "output_type": "execute_result" } @@ -1392,7 +1392,7 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 121, "metadata": {}, "outputs": [ { @@ -1426,7 +1426,7 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 122, "metadata": {}, "outputs": [ { @@ -1459,7 +1459,7 @@ }, { "cell_type": "code", - "execution_count": 48, + "execution_count": 123, "metadata": {}, "outputs": [ { @@ -1488,7 +1488,7 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": 124, "metadata": {}, "outputs": [ { @@ -1499,7 +1499,7 @@ " [ 1.00000000e+00, -1.00000000e+00, 1.00000000e+00]]))" ] }, - "execution_count": 49, + "execution_count": 124, "metadata": {}, "output_type": "execute_result" } @@ -1510,7 +1510,7 @@ }, { "cell_type": "code", - "execution_count": 50, + "execution_count": 125, "metadata": {}, "outputs": [ { @@ -1519,7 +1519,7 @@ "array([1., 1., 1.])" ] }, - "execution_count": 50, + "execution_count": 125, "metadata": {}, "output_type": "execute_result" } @@ -1545,7 +1545,7 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 126, "metadata": {}, "outputs": [ { @@ -1584,7 +1584,7 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": 127, "metadata": {}, "outputs": [ { @@ -1595,7 +1595,7 @@ " [102, 126, 150]])" ] }, - "execution_count": 52, + "execution_count": 127, "metadata": {}, "output_type": "execute_result" } @@ -1606,7 +1606,7 @@ }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 128, "metadata": {}, "outputs": [ { @@ -1617,7 +1617,7 @@ " [49, 64, 81]])" ] }, - "execution_count": 53, + "execution_count": 128, "metadata": {}, "output_type": "execute_result" } @@ -1628,7 +1628,7 @@ }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 129, "metadata": {}, "outputs": [ { @@ -1639,7 +1639,7 @@ " [102, 126, 150]])" ] }, - "execution_count": 54, + "execution_count": 129, "metadata": {}, "output_type": "execute_result" } @@ -1650,7 +1650,7 @@ }, { "cell_type": "code", - "execution_count": 55, + "execution_count": 130, "metadata": {}, "outputs": [ { @@ -1680,7 +1680,7 @@ }, { "cell_type": "code", - "execution_count": 56, + "execution_count": 131, "metadata": {}, "outputs": [ { @@ -1730,19 +1730,19 @@ }, { "cell_type": "code", - "execution_count": 57, + "execution_count": 132, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array([[-0.77945981, -0.60547667, -1.00785723],\n", - " [ 0.02571444, 1.75133322, -1.12540479],\n", - " [-1.49532729, -0.98663122, -0.57854294],\n", - " [-1.48654912, 0.80767114, 1.28940232]])" + "array([[-0.31970022, -0.53367802, 2.02877449],\n", + " [ 0.04886444, -1.33023411, -0.0659653 ],\n", + " [-0.64253493, 0.27114469, 1.3166244 ],\n", + " [ 1.468584 , -0.80761327, 0.82371064]])" ] }, - "execution_count": 57, + "execution_count": 132, "metadata": {}, "output_type": "execute_result" } @@ -1760,14 +1760,14 @@ }, { "cell_type": "code", - "execution_count": 58, + "execution_count": 133, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "781 ms ± 70 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" + "808 ms ± 42.8 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n" ] } ], @@ -1780,14 +1780,14 @@ }, { "cell_type": "code", - "execution_count": 59, + "execution_count": 134, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "25.9 ms ± 2 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n" + "25.5 ms ± 1.35 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n" ] } ], @@ -1886,7 +1886,7 @@ }, { "cell_type": "code", - "execution_count": 60, + "execution_count": 135, "metadata": { "collapsed": true }, @@ -1905,7 +1905,7 @@ }, { "cell_type": "code", - "execution_count": 61, + "execution_count": 136, "metadata": {}, "outputs": [ { @@ -1914,7 +1914,7 @@ "(-0.5, 0.5)" ] }, - "execution_count": 61, + "execution_count": 136, "metadata": {}, "output_type": "execute_result" }, @@ -1966,7 +1966,7 @@ }, { "cell_type": "code", - "execution_count": 62, + "execution_count": 137, "metadata": {}, "outputs": [ { @@ -2077,7 +2077,7 @@ }, { "cell_type": "code", - "execution_count": 63, + "execution_count": 138, "metadata": {}, "outputs": [ { @@ -2158,7 +2158,7 @@ }, { "cell_type": "code", - "execution_count": 64, + "execution_count": 139, "metadata": {}, "outputs": [ { @@ -2172,22 +2172,22 @@ "name": "stdout", "output_type": "stream", "text": [ - "776 µs ± 33.3 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n", + "1.16 ms ± 253 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n", "############\n", "Method:CG:\n", - "1.51 ms ± 241 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n", + "1.41 ms ± 123 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n", "############\n", "Method:BFGS:\n", - "1.65 ms ± 253 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n", + "1.7 ms ± 206 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n", "############\n", "Method:Powell:\n", - "986 µs ± 327 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n", + "996 µs ± 102 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n", "############\n", "Method:COBYLA:\n", - "157 µs ± 19 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n", + "149 µs ± 6.18 µs per loop (mean ± std. dev. of 7 runs, 10,000 loops each)\n", "############\n", "Method:L-BFGS-B:\n", - "716 µs ± 183 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n", + "662 µs ± 22.6 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n", "############\n" ] } @@ -2208,7 +2208,7 @@ }, { "cell_type": "code", - "execution_count": 65, + "execution_count": 140, "metadata": {}, "outputs": [ { @@ -2331,7 +2331,7 @@ }, { "cell_type": "code", - "execution_count": 66, + "execution_count": 141, "metadata": {}, "outputs": [ { @@ -2382,7 +2382,7 @@ }, { "cell_type": "code", - "execution_count": 67, + "execution_count": 142, "metadata": {}, "outputs": [ { @@ -2439,7 +2439,7 @@ }, { "cell_type": "code", - "execution_count": 68, + "execution_count": 143, "metadata": {}, "outputs": [ { @@ -2479,7 +2479,7 @@ }, { "cell_type": "code", - "execution_count": 69, + "execution_count": 144, "metadata": {}, "outputs": [ { @@ -2534,25 +2534,25 @@ }, { "cell_type": "code", - "execution_count": 70, + "execution_count": 145, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array([[ 1, 0, 1, 2, 3, 2, 1, 0, 1, 2],\n", - " [ 1, 0, -1, -2, -1, -2, -1, 0, -1, 0],\n", - " [ 1, 2, 3, 4, 5, 6, 5, 6, 5, 4],\n", - " [-1, 0, 1, 0, -1, -2, -1, 0, -1, -2],\n", - " [-1, 0, 1, 2, 3, 2, 3, 2, 1, 0],\n", - " [-1, 0, 1, 2, 3, 4, 3, 4, 3, 2],\n", - " [ 1, 2, 1, 2, 1, 0, 1, 2, 1, 2],\n", - " [ 1, 2, 3, 4, 5, 4, 3, 2, 3, 4],\n", - " [ 1, 0, -1, -2, -3, -2, -3, -2, -1, 0],\n", - " [ 1, 2, 1, 2, 3, 2, 3, 4, 3, 4]])" + "array([[ 1, 0, 1, 0, 1, 0, 1, 0, 1, 0],\n", + " [-1, 0, -1, 0, -1, 0, -1, 0, 1, 0],\n", + " [ 1, 2, 1, 2, 1, 2, 1, 2, 1, 2],\n", + " [ 1, 2, 3, 4, 3, 4, 5, 4, 5, 6],\n", + " [-1, 0, -1, -2, -1, -2, -3, -2, -3, -2],\n", + " [ 1, 0, 1, 2, 1, 2, 3, 2, 3, 2],\n", + " [ 1, 0, -1, -2, -3, -2, -1, -2, -3, -2],\n", + " [-1, -2, -1, -2, -1, -2, -1, -2, -1, -2],\n", + " [-1, 0, -1, -2, -3, -4, -5, -6, -7, -6],\n", + " [ 1, 0, -1, -2, -3, -4, -3, -2, -3, -4]])" ] }, - "execution_count": 70, + "execution_count": 145, "metadata": {}, "output_type": "execute_result" } @@ -2572,33 +2572,24 @@ }, { "cell_type": "code", - "execution_count": 71, + "execution_count": 148, "metadata": {}, "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Highest position:122\tLowest position:-150\n", - "Number of walks over bound(=50):2128\n", - "Mean crossing time:682.6531954887218\n" - ] - }, { "data": { - "image/png": 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", "text/plain": [ - "
" + "Text(0.5, 1.0, 'Root Mean Square of Position by Time\\nHighest position:118 - Lowest position:-131\\nNumber of walks over bound(=50.00):2132.00\\nMean crossing time:676.27')" ] }, + "execution_count": 148, "metadata": {}, - "output_type": "display_data" + "output_type": "execute_result" }, { "data": { - "image/png": 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", + "image/png": 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KTJ48mQ+a8OTJE6X8jx8/hqmpKXR0dKCpqQltbe1i84lEIr7x8q6/dvfr1w/Tpk3DmzdvlNa6KczR0RF3795F69atSzzmwYMHkZOTgwMHDgh+Kf9QQ4WMjIzg6OiIf/75B0BBoIqwsDClvEWvryJQSHJysiC9aA9HUlISTp06heDgYMEkflXHKI6joyMYY7C3t+d798rKzMyszPdHZSt8DxftxXzy5Am/XcHR0RHjxo3DuHHjEBYWBg8PDyxcuBB//vmnyvLLcz/b2tri5MmTSEtLE/ROKSJUFq3Luyr6+jLG8OzZM9StW1eQPmDAAHTp0gXXr1/H1q1bUb9+/RKDqVS1d7kXPwU0zI8QQgj5RLVo0QKNGjXCkiVLkJ2dDSsrK3h4eGDTpk2CL+z//PMPjh8/jo4dOwKQN8Tatm2L/fv3C4YQxcTEYNu2bfDy8uJDfyvWKyraACgrR0dHLFmyBHPmzEGjRo2KzderVy+8fv0aa9euVdqWlZWFjIwMvu6A8Nf+lJQUbNiwoUL1K87du3cRHx+vlB4VFYWHDx/yw9AKX/PCw+9OnDiBhw8fCva1tbWFWCzG+fPnBekrV64UPFd1jgCwZMmSMte/e/fuEIvFCA4OViqHMaYUYr3o8ct6f1S2Bg0awNzcHL///rsgvPaRI0fw6NEjPhJkZmamUhhwR0dH6OnpqQzLrVCe+1mxsPCKFSsE6YsXLwbHcejQoUNZT6tMNm/ejLS0NP55SEgI3rx5o3ScDh068GvMnTt37qNfK+pd7sVPAfVMEUIIIZ+wCRMmoGfPnti4cSO++eYbLFiwAB06dEDTpk0xZMgQPjS6gYEBZsyYwe83a9YsnDhxAl5eXhgxYgTU1NSwevVq5OTkYP78+Xw+Dw8PiMVizJs3DykpKZBIJPwaT2X17bfflprnq6++wq5du/DNN9/gzJkzaN68OaRSKR4/foxdu3bh2LFjaNCgAdq2bQsNDQ107twZw4cPR3p6OtauXQtzc3O8efOmXNeuJCdOnMD06dMREBCAJk2aQFdXF+Hh4Vi/fj1ycnIE13LOnDnw9/eHl5cXBg8ejMTERCxfvhy1a9dGeno6n8/AwAA9e/bE8uXLwXEcHB0dcejQIaU5I/r6+vwcoLy8PFSrVg3Hjx8XrMNUGkdHR8yaNQtTpkxBZGQkunbtCj09PURERGDfvn0YNmwYxo8fX+z+Zb0/Kpu6ujrmzZuHQYMGwdfXF3379uVDo9vZ2eG7774DADx9+hStW7dGr169UKtWLaipqWHfvn2IiYlBnz59ii3f0dERhoaG+P3336GnpwcdHR00btxYac4ZAHTu3BktW7bEDz/8gMjISNSrVw/Hjx/H/v37MXbsWEGwicpgbGwMLy8vDBo0CDExMViyZAmcnJzw9ddfK12jPn36YMWKFRCLxejbt2+l1qOyveu9+NH78AEECSGEEFIeitDo169fV9omlUqZo6Mjc3R0ZPn5+Ywxxk6ePMmaN2/OtLS0mL6+PuvcuTN7+PCh0r63bt1i7dq1Y7q6ukxbW5u1bNmSXbp0SSnf2rVrmYODAxOLxaWGYC4cGr0kKBIanTHGcnNz2bx581jt2rWZRCJhRkZGzNPTkwUHB7OUlBQ+34EDB1jdunWZpqYms7OzY/PmzWPr169nAFhERASfz9bWlvn7+ysdu2joZ1XCw8PZtGnTWJMmTZi5uTlTU1NjZmZmzN/fn50+fVop/549e5ibmxuTSCSsVq1abO/evUqhthljLC4ujvXo0YNpa2szIyMjNnz4cPbPP/8ohet+9eoV69atGzM0NGQGBgasZ8+eLDo6mgFg06dP5/OVdr337NnDvLy8mI6ODtPR0WGurq5s5MiR7MmTJyWeP2Nluz8qEhq9LHl37tzJ6tevzyQSCTM2NmZffvkle/XqFb89Pj6ejRw5krm6ujIdHR1mYGDAGjduzHbt2iUoR9VrvX//flarVi2mpqYmuO6qXq+0tDT23XffMWtra6aurs6cnZ3ZggULmEwmE+RTdT8zJr8Hg4KCSjxXRejx7du3sylTpjBzc3OmpaXF/P39WVRUlMp9rl27xgCwtm3bllh2cSoSGn337t2CfMW9LxV3T77Lvfgx4xirxFlxhBBCCCEEADBw4ECcPXtWMFSOkMpw9+5deHh4YPPmzfjqq6+qujqfNZozRQghhBBCyCdk7dq10NXVRffu3au6Kp89mjNFCCGEEELIJ+DgwYN4+PAh1qxZg1GjRvEBNUjVocYUIYQQQgghn4DRo0cjJiYGHTt2RHBwcFVXhwCgOVOEEEIIIYQQUgE0Z4oQQgghhBBCKoAaU4QQQgghhBBSAdSYIoQQQqqInZ0dBg4cWOF9O3XqVLkV+g+IjIwEx3HYuHFjmfJzHCdYgJeQj1l57td3eX8hZUeNKUIIIaQSbNy4ERzH4caNGyq3t2jRAu7u7h+4VpXr4cOHmDFjxie3btLhw4c/ygbTzp070b9/fzg7O4PjOLRo0UJlvvT0dEyfPh3t27eHsbFxqY3FXbt2oUmTJjA0NISJiQl8fX3x999/V3r9/0sN+ujoaMyYMQN37typ6qqUy6VLlzBjxgwkJydXdVXKpKz3/IMHD9CzZ084ODhAW1sbpqam8PHxwcGDB5XyXrt2DSNGjICnpyfU1dXBcdx7PgshakwRQgghVeTJkydYu3ZtVVejzB4+fIjg4OCPujFla2uLrKwswUKmhw8fLjbyWVZWFn788ccPVT2BVatWYf/+/bCxsYGRkVGx+eLj4zFz5kw8evQI9erVK7HM5cuXo3fv3jA1NcXcuXPx008/ISUlBZ06dcLevXsr+xT+M6KjoxEcHPzRN6aK3q+XLl1CcHCwysbUx/j+UtZ7PioqCmlpaQgKCsLSpUvx008/AQACAgKwZs0aQd7Dhw/jjz/+AMdxcHBweK/1V4VCoxNCCCFVRCKRVHUV/nM4joOmpmaZ85cnb2XbsmULqlWrBpFIVGKvpZWVFd68eQNLS0vcuHEDDRs2LDbv8uXL0bBhQxw8eJD/hX7w4MGoVq0aNm3aRIu8fuLKc79+jO8vZb3nO3bsiI4dOwrSRo0aBU9PTyxatAjDhg3j0//3v/9h0qRJ0NLSwqhRo/D06dP3Vn9VqGeKEEIIqSKq5jTcu3cPvr6+0NLSQvXq1TFr1ixs2LABHMep7BG6cOECGjVqBE1NTTg4OGDz5s1KeZKTkzF27FjY2NhAIpHAyckJ8+bNg0wmE+TbsWMHPD09oaenB319fdSpUwdLly4FIB/G2LNnTwBAy5YtwXEcOI7D2bNniz2/gQMHQldXF+Hh4WjXrh10dHRgbW2NmTNnoujKLBkZGRg3bhxfRxcXF/z6669K+U6cOAEvLy8YGhpCV1cXLi4umDp1Kr+96JypgQMH4rfffgMAvs6FhwGpmoNy+/ZtdOjQAfr6+tDV1UXr1q1x5coVQR7FsM6LFy/i+++/h5mZGXR0dNCtWzfExcUJ8qakpODx48dISUkRpNvY2EAkKv2rmEQigaWlZan5ACA1NRXm5uaCc1Sch5aWVpnKqEz5+fn4+eef4ejoCIlEAjs7O0ydOhU5OTl8nu+//x4mJiaC13r06NHgOA7Lli3j02JiYsBxHFatWsWn5eTkYPr06XBycoJEIoGNjQ0mTpwoKB8o+b45e/Ys30AdNGgQf4+UNJRyxowZ4DgOjx8/Rq9evaCvrw8TExN8++23yM7OLvc1AIAbN26gXbt2MDU1hZaWFuzt7TF48GBBnsL364wZMzBhwgQAgL29PV9vxfuEqveX8PBw9OzZE8bGxtDW1kaTJk2UhoCePXsWHMdh165dmD17NqpXrw5NTU20bt0az549E+TNzMzE48ePER8fX+y1Kqys97wqYrEYNjY2Sr1wFhYWVXJvK1DPFCGEEFKJUlJSVH6xyMvLK3Xf169f8w2VKVOmQEdHB3/88UexvzA/e/YMgYGBGDJkCIKCgrB+/XoMHDgQnp6eqF27NgD5lx1fX1+8fv0aw4cPR40aNXDp0iVMmTIFb968wZIlSwDIv2z27dsXrVu3xrx58wAAjx49wsWLF/Htt9/Cx8cHY8aMwbJlyzB16lS4ubkBAP9vcaRSKdq3b48mTZpg/vz5OHr0KKZPn478/HzMnDkTAMAYQ0BAAM6cOYMhQ4bAw8MDx44dw4QJE/D69WssXrwYgHweRadOnVC3bl3MnDkTEokEz549w8WLF4s9/vDhwxEdHY0TJ05gy5Ytpb4GDx48gLe3N/T19TFx4kSoq6tj9erVaNGiBc6dO4fGjRsL8o8ePRpGRkaYPn06IiMjsWTJEowaNQo7d+7k8+zbtw+DBg3Chg0b3ntAgBYtWiAkJATLly9H586dkZ2djeXLlyMlJQXffvvtez22KkOHDsWmTZsQGBiIcePG4erVq5gzZw4ePXqEffv2AQC8vb2xePFiPHjwgO+tCA0NhUgkQmhoKMaMGcOnAYCPjw8AQCaTISAgABcuXMCwYcPg5uaG+/fvY/HixXj69Cn++usvAKXfN25ubpg5cyamTZuGYcOGwdvbGwDQrFmzUs+vV69esLOzw5w5c3DlyhUsW7YMSUlJgh81ynINYmNj0bZtW5iZmWHy5MkwNDREZGRkiUMzu3fvjqdPn2L79u1YvHgxTE1NAQBmZmYq88fExKBZs2bIzMzEmDFjYGJigk2bNiEgIAAhISHo1q2bIP/cuXMhEokwfvx4pKSkYP78+fjyyy9x9epVPs+1a9fQsmVLTJ8+/b3MS8zIyEBWVhZSUlJw4MABHDlyBL17967047wTRgghhJB3tmHDBgagxEft2rUF+9ja2rKgoCD++ejRoxnHcez27dt8WkJCAjM2NmYAWEREhGBfAOz8+fN8WmxsLJNIJGzcuHF82s8//8x0dHTY06dPBceePHkyE4vF7MWLF4wxxr799lumr6/P8vPziz3H3bt3MwDszJkzZbomQUFBDAAbPXo0nyaTyZi/vz/T0NBgcXFxjDHG/vrrLwaAzZo1S7B/YGAg4ziOPXv2jDHG2OLFixkAfj9VIiIiGAC2YcMGPm3kyJGsuK88ANj06dP55127dmUaGhrs+fPnfFp0dDTT09NjPj4+fJri9fbz82MymYxP/+6775hYLGbJyclKeQvXqajatWszX1/fYrcrXL9+vcSyYmJiWOvWrQX3nampKbt06VKpZZeXra0t8/f3L3b7nTt3GAA2dOhQQfr48eMZAHb69GnGmPy+BcBWrlzJGGMsOTmZiUQi1rNnT2ZhYcHvN2bMGGZsbMxf7y1btjCRSMRCQ0MF5f/+++8MALt48SJjrGz3TWnXtajp06czACwgIECQPmLECAaA3b17t1zXYN++fQwAu379eonHLXq/LliwQOm9QaHo+8vYsWMZAMH1SktLY/b29szOzo5JpVLGGGNnzpxhAJibmxvLycnh8y5dupQBYPfv3+fTFHkL16msynLPDx8+nL+PRSIRCwwMZImJicXmL+lv/X2hYX6EEEJIJfrtt99w4sQJpUfdunVL3ffo0aNo2rQpPDw8+DRjY2N8+eWXKvPXqlWL/xUdkP8i7eLigvDwcD5t9+7d8Pb2hpGREeLj4/mHn58fpFIpzp8/DwAwNDRERkYGTpw4UcEzL96oUaP4/3Mch1GjRiE3NxcnT54EIJ9ALhaL+R4IhXHjxoExhiNHjvB1BID9+/crDVGsDFKpFMePH0fXrl0FE9mtrKzQr18/XLhwAampqYJ9hg0bJhhS5+3tDalUiqioKD5t4MCBYIx9kDDV2tracHFxQVBQEHbv3o3169fDysoK3bt3Vxqi9b4dPnwYgHwYX2Hjxo0DAH54mZmZGVxdXfl78eLFixCLxZgwYQJiYmIQFhYGQN4z5eXlxV/v3bt3w83NDa6uroJ7u1WrVgCAM2fOAHi/983IkSMFz0ePHi0497JeA0UdDx06VKZe7Io4fPgwGjVqBC8vLz5NV1cXw4YNQ2RkJB4+fCjIP2jQIGhoaPDPFe81hd9fWrRoAcbYe4uWOXbsWJw4cQKbNm1Chw4dIJVKkZub+16OVVHUmCKEEEIqUaNGjeDn56f0KClylUJUVBScnJyU0lWlAUCNGjWU0oyMjJCUlMQ/DwsLw9GjR2FmZiZ4+Pn5AZAPLwKAESNGoGbNmujQoQOqV6+OwYMH4+jRo2U655KIRCKlCFs1a9YEAH5uR1RUFKytraGnpyfIpxhCqGiY9O7dG82bN8fQoUNhYWGBPn36YNeuXZX2BTkuLg6ZmZlwcXFR2ubm5gaZTIaXL18K0ou+BorXufBr8CH17NkTL168wMaNGxEYGIhBgwbh7NmzyM3NxQ8//FDivnFxcXj79i3/SE9Pf6e6REVFQSQSKd2/lpaWMDQ0FDQ4vb29+WF8oaGhaNCgARo0aABjY2OEhoYiNTUVd+/eFfx4EBYWhgcPHijd24r7S3Fvv8/7xtnZWfDc0dERIpFIcG+X5Rr4+vqiR48eCA4OhqmpKbp06YINGzYozat6F1FRUcXe24rthVX03k5MTBTcR0XnCpaHq6sr/Pz8MGDAABw6dAjp6eno3Lmz0lzKqkRzpgghhJBPlFgsVple+IuGTCZDmzZtMHHiRJV5FV88zc3NcefOHRw7dgxHjhzBkSNHsGHDBgwYMACbNm2q/MpXgJaWFs6fP48zZ87g77//xtGjR7Fz5060atUKx48fL/Z6vE9leQ0+lPDwcBw9elQpdLSxsTG8vLxKnFsGAA0bNhR8oa6seTBlWffHy8sLa9euRXh4OEJDQ+Ht7Q2O4+Dl5YXQ0FBYW1tDJpMJGlMymQx16tTBokWLVJZpY2MD4MPeN8Wda2nXgOM4hISE4MqVKzh48CCOHTuGwYMHY+HChbhy5Qp0dXUrrY5lVdF7u3v37jh37hz/PCgoqMyLaJcmMDAQw4cPx9OnT1U2DKsCNaYIIYSQj4Stra3KoVjvMjzL0dER6enpfE9USTQ0NNC5c2d07twZMpkMI0aMwOrVq/HTTz/BycmpQothymQyhIeH8402AHzoYjs7OwDy8z558iTS0tIEvVOPHz/mtyuIRCK0bt0arVu3xqJFi/DLL7/ghx9+wJkzZ4o9x7LW28zMDNra2njy5InStsePH0MkEvFf0D9GMTExAOTDFYvKy8tDfn5+iftv3boVWVlZ/PN3XbPH1tYWMpkMYWFhgkAlMTExSE5OFryuikbSiRMncP36dUyePBmAPNjEqlWrYG1tDR0dHXh6evL7ODo64u7du2jdunWpr3Fp901FF3oNCwuDvb09//zZs2eQyWSCe7us1wAAmjRpgiZNmmD27NnYtm0bvvzyS+zYsQNDhw5Vefzy1NvW1rbYe1uxvTIsXLhQ0HtlbW1dKeUC4O/Pd+ntqmw0zI8QQgj5SLRr1w6XL18WLByamJiIrVu3VrjMXr164fLlyzh27JjStuTkZP4LdkJCgmCbSCTi53kphhrp6Ojw+5XHihUr+P8zxrBixQqoq6ujdevWAORrykilUkE+AFi8eDE4jkOHDh0AyK9FUYr5ZSUNhyprvcViMdq2bYv9+/cLwtDHxMRg27Zt8PLygr6+follqFJcaPTK5uTkBJFIhJ07dwp6D169eoXQ0FDUr1+/xP2bN28uGJr6ro0pxTpBioiRCoqeJH9/fz7N3t4e1apVw+LFi5GXl4fmzZsDkDeynj9/jpCQEDRp0gRqagX9AL169cLr169VLkyblZWFjIwMAGW7byp6byvC7issX74cAPh7tqzXICkpSanHpzLvbUVdrl27hsuXL/NpGRkZWLNmDezs7FCrVq1SyyhKVWh0T09PwX1UkXIVQzQLy8vLw+bNm6GlpVWhMt8X6pkihBBCPhITJ07En3/+iTZt2mD06NF8aPQaNWogMTGxQr+eT5gwAQcOHECnTp34sOkZGRm4f/8+QkJCEBkZCVNTUwwdOhSJiYlo1aoVqlevjqioKCxfvhweHh78L+oeHh4Qi8WYN28eUlJSIJFI0KpVK5ibmxd7fE1NTRw9ehRBQUFo3Lgxjhw5gr///htTp07lQzh37twZLVu2xA8//IDIyEjUq1cPx48fx/79+zF27Fg4OjoCAGbOnInz58/D398ftra2iI2NxcqVK1G9enXBpPqiFL0ZY8aMQbt27SAWi9GnTx+VeWfNmsWvSTRixAioqalh9erVyMnJwfz588t9/YHiQ6OfP3+eD7oQFxeHjIwMzJo1C4C8R0YRAhyQN0iTk5MRHR0NADh48CBevXoFQB70wMDAAGZmZhg8eDD++OMPtG7dGt27d0daWhpWrlyJrKwsTJkypUL1L8mzZ8/4OhdWv359+Pv7IygoCGvWrEFycjJ8fX1x7do1bNq0CV27dkXLli0F+3h7e2PHjh2oU6cOPz/niy++gI6ODp4+fYp+/foJ8n/11VfYtWsXvvnmG5w5cwbNmzeHVCrF48ePsWvXLhw7dgwNGjQo033j6OgIQ0ND/P7779DT04OOjg4aN24s6HVSJSIiAgEBAWjfvj0uX76MP//8E/369UO9evUAAPXq1SvTNdi0aRNWrlyJbt26wdHREWlpaVi7di309fWVFq8tTHFv//DDD+jTpw/U1dXRuXNnvpFV2OTJk7F9+3Z06NABY8aMgbGxMTZt2oSIiAjs2bOnQus/lTc0elnv+eHDhyM1NRU+Pj6oVq0a3r59i61bt+Lx48dYuHChYNhjVFQUv+zBjRs3AIAv09bWFl999VW5z6tcPmjsQEIIIeQ/ShH+urjQxr6+vqWGRmeMsdu3bzNvb28mkUhY9erV2Zw5c9iyZcsYAPb27VvBvqrCUvv6+iqFG05LS2NTpkxhTk5OTENDg5mamrJmzZqxX3/9leXm5jLGGAsJCWFt27Zl5ubmTENDg9WoUYMNHz6cvXnzRlDW2rVrmYODAxOLxaWGSQ8KCmI6Ojrs+fPnrG3btkxbW5tZWFiw6dOn82GYC9fxu+++Y9bW1kxdXZ05OzuzBQsWCMKOnzp1inXp0oVZW1szDQ0NZm1tzfr27SsI+64qNHp+fj4bPXo0MzMzYxzHCUInQ0VY51u3brF27doxXV1dpq2tzVq2bKkUWry411sRKrrwdSkuNLoivLaqR9E6KULhq3oUDoudl5fHli9fzjw8PJiuri7T1dVlLVu25ENwV6aS6jRkyBC+PsHBwcze3p6pq6szGxsbNmXKFJadna1U3m+//cYAsP/973+CdD8/PwaAnTp1Smmf3NxcNm/ePFa7dm0mkUiYkZER8/T0ZMHBwSwlJYUxVrb7hjHG9u/fz2rVqsXU1NRKDZOueO0ePnzIAgMDmZ6eHjMyMmKjRo1iWVlZgrxluQa3bt1iffv2ZTVq1GASiYSZm5uzTp06sRs3bgjKUnVv/Pzzz6xatWpMJBIJ7gdV7y/Pnz9ngYGBzNDQkGlqarJGjRqxQ4cOCfIo7uHdu3cL0lX9bZU3NHpZ7/nt27czPz8/ZmFhwdTU1JiRkRHz8/Nj+/fvVypTUQdVj7IsN/CuOMY+onAYhBBCCFEyduxYrF69Gunp6VUSZKGiBg4ciJCQkHeOCkfIx2bGjBkIDg5GXFwcv1gu+TzRnClCCCHkI1I4AAAgn8u0ZcsWeHl5fVINKUII+RzQnClCCCHkI9K0aVO0aNECbm5uiImJwbp165CamoqffvqpqqtGCCGkCGpMEUIIIR+Rjh07IiQkBGvWrAHHcfjiiy+wbt06QTACQgghHweaM0UIIYQQQgghFUBzpgghhBBCCCGkAqgxRQghhBBCCCEVQI0pQggh5BNx9uxZcByHkJCQqq5KmcTExCAwMBAmJibgOA5LliypknoortvZs2f5tBYtWsDd3b1K6vMxGThwoGAB1E8Nx3EqF4udP38+XF1dIZPJPnylPhJ5eXmwsbHBypUrq7oq/2nUmCKEEEIK2bhxIziOg6amJl6/fq20nb6El913332HY8eOYcqUKdiyZQvat29f1VUin4HU1FTMmzcPkyZNgkj07l91OY5T+Zg7d65S3tevX6NXr14wNDSEvr4+unTpgvDw8DIf69KlS/Dy8oK2tjYsLS0xZswYleu05eTkYNKkSbC2toaWlhYaN26MEydOCPKoq6vj+++/x+zZs5GdnV2m4+/duxe9e/eGg4MDtLW14eLignHjxiE5OVkp786dO9G/f384OzuD4zi0aNFCZZkPHjxAz549+TJNTU3h4+ODgwcPCvLJZDJs3LgRAQEBsLGxgY6ODtzd3TFr1qwy1x+o3GtYFhTNjxBCCFEhJycHc+fOxfLly6u6Kp+s06dPo0uXLhg/fnxVV4V8RtavX4/8/Hz07du30sps06YNBgwYIEirX7++4Hl6ejpatmyJlJQUTJ06Ferq6li8eDF8fX1x584dmJiYlHiMO3fuoHXr1nBzc8OiRYvw6tUr/PrrrwgLC8ORI0cEeRULYo8dOxbOzs7YuHEjOnbsiDNnzsDLy4vPN2jQIEyePBnbtm3D4MGDSz3PYcOGwdraGv3790eNGjVw//59rFixAocPH8atW7egpaXF5121ahVu3ryJhg0bIiEhodgyo6KikJaWhqCgIFhbWyMzMxN79uxBQEAAVq9ejWHDhgEAMjMzMWjQIDRp0gTffPMNzM3NcfnyZUyfPh2nTp3C6dOnwXHcB7+GpWKEEEII4W3YsIEBYB4eHkwikbDXr18Ltvv6+rLatWtXSd3OnDnDALDdu3e/1+Okp6dXSjkcx7GRI0dWSlnvQnHdzpw5w6dV5ev4oWVkZBS7LSgoiOno6HzA2lQuAGz69OmCtLp167L+/ftX6jHKch/PmzePAWDXrl3j0x49esTEYjGbMmVKqft36NCBWVlZsZSUFD5t7dq1DAA7duwYn3b16lUGgC1YsIBPy8rKYo6Ojqxp06ZK5Xbq1Il5e3uXenzGmOBvRGHTpk0MAFu7dq0g/cWLF0wqlTLGGKtduzbz9fUt0zEYYyw/P5/Vq1ePubi48Gk5OTns4sWLSnmDg4MZAHbixIlSy31f17AkNMyPEEIIUWHq1KmQSqUqh/IUFhkZCY7jsHHjRqVtRedzzJgxAxzH4enTp+jfvz8MDAxgZmaGn376CYwxvHz5El26dIG+vj4sLS2xcOFClceUSqWYOnUqLC0toaOjg4CAALx8+VIp39WrV9G+fXsYGBhAW1sbvr6+uHjxoiCPok4PHz5Ev379YGRkVOqvsuHh4ejZsyeMjY2hra2NJk2a4O+//+a3K4ZKMsbw22+/8cOiivPFF1+ge/fugrQ6deqA4zjcu3ePT9u5cyc4jsOjR48AyH/xHjFiBFxcXKClpQUTExP07NkTkZGRJda/OMePH4e2tjb69u2L/Px8AMCJEyfg5eUFQ0ND6OrqwsXFBVOnTi21rPz8fPz8889wdHSERCKBnZ0dpk6dipycHD5Pp06d4ODgoHL/pk2bokGDBoK0P//8E56entDS0oKxsTH69Omj9LorhqHevHkTPj4+0NbWLlN9w8PD0a5dO+jo6MDa2hozZ84EK7J6TkZGBsaNGwcbGxtIJBK4uLjg119/FeSryN/Ds2fPMHDgQBgaGsLAwACDBg1CZmamYN+cnBx89913MDMzg56eHgICAvDq1SulY0RERODevXvw8/Mr9ZzLKysrq8ThZiEhIWjYsCEaNmzIp7m6uqJ169bYtWtXiWWnpqbixIkT6N+/P/T19fn0AQMGQFdXV7B/SEgIxGIx36MDAJqamhgyZAguX76sdE+0adMGFy5cQGJioiD98ePHePHihSBN1VC9bt26AQD/d6dgY2NT4WGUYrEYNjY2guGDGhoaaNasWZmPX9T7vIYlocYUIYQQooK9vT0GDBiAtWvXIjo6ulLL7t27N2QyGebOnYvGjRtj1qxZWLJkCdq0aYNq1aph3rx5cHJywvjx43H+/Hml/WfPno2///4bkyZNwpgxY3DixAn4+fkhKyuLz3P69Gn4+PggNTUV06dPxy+//ILk5GS0atUK165dUyqzZ8+eyMzMxC+//IKvv/662LrHxMSgWbNmOHbsGEaMGMHPxwgICMC+ffsAAD4+PtiyZQsA+Re5LVu28M9V8fb2xoULF/jniYmJePDgAUQiEUJDQ/n00NBQmJmZwc3NDQBw/fp1XLp0CX369MGyZcvwzTff4NSpU2jRooXSl/HSHDp0CAEBAejZsyf+/PNPqKmp4cGDB+jUqRNycnIwc+ZMLFy4EAEBAUoNUlWGDh2KadOm4YsvvuCHes2ZMwd9+vTh8/Tu3RsRERG4fv26YN+oqChcuXJFkHf27NkYMGAAnJ2dsWjRIowdOxanTp2Cj4+P0nyWhIQEdOjQAR4eHliyZAlatmxZYl2lUinat28PCwsLzJ8/H56enpg+fTqmT5/O52GMISAgAIsXL0b79u2xaNEiuLi4YMKECfj+++9LvR4l6dWrF9LS0jBnzhz06tULGzduRHBwsCDP0KFDsWTJErRt2xZz586Furo6/P39lcq6dOkSAHkDvaikpCTEx8eX+lB172zcuBE6OjrQ0tJCrVq1sG3bNsF2mUyGe/fuKTWAAaBRo0Z4/vw50tLSir0G9+/fR35+vtL+Ghoa8PDwwO3bt/m027dvo2bNmoIGg+I4gHyoW2Genp5gjPHXRsHNzU1p6KIqb9++BQCYmpqWmrckGRkZiI+Px/Pnz7F48WIcOXIErVu3rrTjv89rWKJy9WMRQggh/3GKYX7Xr19nz58/Z2pqamzMmDH89qLDwyIiIhgAtmHDBqWyUGQI0vTp0xkANmzYMD4tPz+fVa9enXEcx+bOncunJyUlMS0tLRYUFMSnKYarVatWjaWmpvLpu3btYgDY0qVLGWOMyWQy5uzszNq1a8dkMhmfLzMzk9nb27M2bdoo1alv375luj5jx45lAFhoaCiflpaWxuzt7ZmdnR0/7Edx/mUZHrV7924GgD18+JAxxtiBAweYRCJhAQEBrHfv3ny+unXrsm7dugnOp6jLly8zAGzz5s18WmnD/Pbs2cPU1dXZ119/Laj/4sWLGQAWFxdX6jkUdufOHQaADR06VJA+fvx4BoCdPn2aMcZYSkoKk0gkbNy4cYJ88+fPZxzHsaioKMYYY5GRkUwsFrPZs2cL8t2/f5+pqakJ0n19fRkA9vvvv5eprkFBQQwAGz16NJ8mk8mYv78/09DQ4M/9r7/+YgDYrFmzBPsHBgYyjuPYs2fPGGMV+3sYPHiwIF+3bt2YiYkJ/1xxPUeMGCHI169fP6Uyf/zxRwaApaWlKR3f1taWASj1UXTYYLNmzdiSJUvY/v372apVq5i7uzsDwFauXMnniYuLYwDYzJkzlY7722+/MQDs8ePHStsUFH8D58+fV9rWs2dPZmlpyT+vXbs2a9WqlVK+Bw8eqHzto6OjGQA2b948QTqAMg3NGzJkCBOLxezp06fF5inLML/hw4fz11gkErHAwECWmJhY6vH9/PyYvr4+S0pKKjHf+7yGJaGeKUIIIaQYDg4O+Oqrr7BmzRq8efOm0sodOnQo/3+xWIwGDRqAMYYhQ4bw6YaGhnBxcVEZCWzAgAHQ09PjnwcGBsLKygqHDx8GIP9VNSwsDP369UNCQgL/i3tGRgZat26N8+fPK4WM/uabb8pU98OHD6NRo0aCoYC6uroYNmwYIiMj8fDhw7JdhEK8vb0BgO+FCw0NRcOGDdGmTRu+Zyo5ORn//PMPnxeAYDJ8Xl4eEhIS4OTkBENDQ9y6datMx96+fTt69+6N4cOHY/Xq1YJhS4aGhgCA/fv3lyvEtuJ1KNpjM27cOADgh0Tq6+ujQ4cO2LVrl2Co3M6dO9GkSRPUqFEDgDzCmkwmQ69evQQ9KJaWlnB2dsaZM2cEx5FIJBg0aFCZ6wsAo0aN4v/PcRxGjRqF3NxcnDx5kj8nsViMMWPGKJ0TY0xpcn95FL33vL29kZCQgNTUVP7YAJSOPXbsWKWyEhISoKampjLc+9atW3HixIlSH0V7ay5evIhvv/0WAQEB+Oabb3Dz5k24u7tj6tSpfG+w4l+JRKJ0XE1NTUEeVUrbv/C+WVlZ5TqOkZERACA+Pl6QzhgTLBegyrZt27Bu3TqMGzcOzs7OJeYtzdixY3HixAls2rQJHTp0gFQqRW5ubon7/PLLLzh58iTmzp3L/z0W531ew5JQY4oQQggpwY8//oj8/PxS506Vh+JLsoKBgQE0NTWVhrEYGBggKSlJaf+iX2o4joOTkxM/VygsLAwAEBQUBDMzM8Hjjz/+QE5ODlJSUgRl2Nvbl6nuUVFRcHFxUUpXDL2LiooqUzmFWVhYwNnZmW84hYaGwtvbGz4+PoiOjkZ4eDguXrwImUwmaExlZWVh2rRp/BweU1NTmJmZITk5Wen8VImIiED//v3Ro0cPLF++XGleV+/evdG8eXMMHToUFhYW6NOnD3bt2lVqwyoqKgoikQhOTk6CdEtLSxgaGgquUe/evfHy5UtcvnwZAPD8+XPcvHkTvXv35vOEhYWBMQZnZ2el1/PRo0eIjY0VHKdatWrQ0NAo9fwVRCKR0tytmjVrAgB/T0VFRcHa2lrQiAfe7XVXKPr3oPjyr7j3FdfT0dFRkE/VfViS5s2bw8/Pr9RHcfPYFDQ0NDBq1CgkJyfj5s2bAAoa9oXnxCko5lkVbvwXVdr+hffV0tIq13EUDfXSIuEVFRoaiiFDhqBdu3aYPXt2ufZVxdXVFX5+fhgwYAAOHTqE9PR0dO7cWWlunsLOnTvx448/YsiQIfjf//5Xavnv8xqWhEKjE0IIISVwcHBA//79sWbNGkyePFlpe3FfUKRSabFlisXiMqUBKPaLRkkUX/YXLFgADw8PlXmK/nJfni8P74OXlxdOnTqFrKws3Lx5E9OmTYO7uzsMDQ0RGhqKR48eQVdXVxCOevTo0diwYQPGjh2Lpk2bwsDAABzHoU+fPmXqSbKysuJ79G7cuKE010JLSwvnz5/HmTNn8Pfff+Po0aPYuXMnWrVqhePHjxf7mimU5ctr586doa2tjV27dqFZs2bYtWsXRCIRevbsyeeRyWTgOA5HjhxRecyP6bWsrL8HoGL3vomJCfLz85GWlqbU8IuLiyuxHgq6urqlLmRsY2MDAHxQB2NjY0gkEpU92Io0a2vrYsuzsrIS5C26f+F9raysVK6BV9xxFI3S8sx5unv3LgICAuDu7o6QkBCoqVV+kyEwMBDDhw/H06dPlRrGih5Cf39//P7772Uq731ew5JQzxQhhBBSCkXv1Lx585S2KX5FLxoE4F1+qS+NoudJgTGGZ8+ewc7ODgD4X/D19fWL/fVdXV29Qse2tbXFkydPlNIfP37Mb68Ib29vvHjxAjt27IBUKkWzZs0gEong5eWF0NBQhIaGolmzZoIv3iEhIQgKCsLChQsRGBiINm3awMvLS+UCo6poamri0KFDcHZ2Rvv27fHgwQOlPCKRCK1bt8aiRYvw8OFDzJ49G6dPn1YaWleYra0tZDKZ0usUExOD5ORkwTXS0dFBp06dsHv3bshkMuzcuRPe3t6CL3OOjo5gjMHe3l7la9mkSZMynW9xZDKZ0nDSp0+fAgB/T9na2iI6OlopiELR1/19/D0orufz588F6aruQ1dXVwDyXseiGjZsyDegS3r8+uuvpdZJcb3MzMwAyO+TOnXq4MaNG0p5r169CgcHB6XGXWHu7u5QU1NT2j83Nxd37twR/Cji4eGBp0+f8sMgCx9Hsb0wxbVQ9CKW5vnz52jfvj3Mzc1x+PDhUhuWFaUYSle0F/nq1avo1q0bGjRogF27dpW5Ifc+r2FJqDFFCCGElMLR0RH9+/fH6tWr+chSCvr6+jA1NVWKurdy5cr3Vp/NmzcLvtSGhITgzZs36NChAwB59C5HR0f8+uuvSE9PV9o/Li6uwsfu2LEjrl27xg9LA+RRutasWQM7OzvUqlWrQuUqhu/NmzcPdevWhYGBAZ9+6tQp3LhxQzDED5D3aBTtvVi+fHmZeh8UDAwMcOzYMZibm6NNmzaCL+xFQ0kDBV+yVA0RUujYsSMAYMmSJYL0RYsWAYBSFLrevXsjOjoaf/zxB+7evSsY4gcA3bt3h1gsRnBwsNL5MsZKXDC1rFasWCEoc8WKFVBXV+ejrXXs2BFSqVSQDwAWL14MjuP4e+99/D0oyl62bJkgvej1BeQh5QGobNRUZM6Uqr+VtLQ0LFmyBKampvD09OTTAwMDcf36dcGxnzx5gtOnTwt6GgHlsOQGBgbw8/PDn3/+Kfjb3rJlC9LT0wX7BwYGQiqVYs2aNXxaTk4ONmzYgMaNG/O9Zgo3b94Ex3H8tSmuDoA8cl7btm0hEolw7NgxvrH4LooOQwXkcxw3b97MR0dUePToEfz9/WFnZ4dDhw6V2Mv6Ia9hSWiYHyGEEFIGP/zwA7Zs2YInT56gdu3agm1Dhw7F3LlzMXToUDRo0ADnz5/nf9l/H4yNjeHl5YVBgwYhJiYGS5YsgZOTEx/SXCQS4Y8//kCHDh1Qu3ZtDBo0CNWqVcPr169x5swZ6Ovr4+DBgxU69uTJk7F9+3Z06NABY8aMgbGxMTZt2oSIiAjs2bOnwuvOODk5wdLSEk+ePMHo0aP5dB8fH0yaNAkAlBpTnTp1wpYtW2BgYIBatWrh8uXLOHnyJExMTMp1bFNTU349KT8/P1y4cAHVqlXDzJkzcf78efj7+8PW1haxsbFYuXIlqlevXuJaXPXq1UNQUBDWrFmD5ORk+Pr64tq1a9i0aRO6du2qFKq8Y8eO0NPTw/jx4yEWi9GjRw/BdkdHR8yaNQtTpkxBZGQkunbtCj09PURERGDfvn0YNmwYxo8fX65zLkxTUxNHjx5FUFAQGjdujCNHjuDvv//G1KlT+S/TnTt3RsuWLfHDDz8gMjIS9erVw/Hjx7F//36MHTtWMJ+psv8ePDw80LdvX6xcuRIpKSlo1qwZTp06hWfPninldXBwgLu7O06ePInBgwcLtjVv3rzcx/7tt9/w119/oXPnzqhRowbevHmD9evX48WLF9iyZYtgbtqIESOwdu1a+Pv7Y/z48VBXV8eiRYtgYWHBBx9RcHNzg6+vryAAxOzZs9GsWTP4+vpi2LBhePXqFRYuXIi2bduiffv2fL7GjRujZ8+emDJlCmJjY+Hk5IRNmzYhMjIS69atUzqHEydOoHnz5kp/F6rq0L59e4SHh2PixIm4cOGCYMkCCwsLtGnThn9+/vx5vtEcFxeHjIwMzJo1C4D879bHxwcAMHz4cKSmpsLHxwfVqlXD27dvsXXrVjx+/BgLFy7ke77S0tLQrl07JCUlYcKECYK16wD530HhBuGHvIYlKnPcP0IIIeQzUDg0elGKMNKFQ6MzJg/RPWTIEGZgYMD09PRYr169WGxsbLGhoIuG2g4KCmI6OjpKxysahl0R4nv79u1sypQpzNzcnGlpaTF/f38+jHZht2/fZt27d2cmJiZMIpEwW1tb1qtXL3bq1KlS61SS58+fs8DAQGZoaMg0NTVZo0aN2KFDh5TyoYyh0RV69uzJALCdO3fyabm5uUxbW5tpaGiwrKwsQf6kpCQ2aNAgZmpqynR1dVm7du3Y48ePma2trcqQ8sWFRld49uwZs7KyYm5ubiwuLo6dOnWKdenShVlbWzMNDQ1mbW3N+vbtW2KIaIW8vDwWHBzM7O3tmbq6OrOxsWFTpkxh2dnZKvN/+eWXDADz8/Mrtsw9e/YwLy8vpqOjw3R0dJirqysbOXIke/LkSYnnVRLFvff8+XPWtm1bpq2tzSwsLNj06dMFYeIZk4fA/+6775i1tTVTV1dnzs7ObMGCBYLw+4y9+9+D4m8wIiKCT8vKymJjxoxhJiYmTEdHh3Xu3Jm9fPlSZSjzRYsWMV1dXZWh88vr+PHjrE2bNszS0pKpq6szQ0ND1rZtW8HfUGEvX75kgYGBTF9fn+nq6rJOnTqxsLAwpXwoJix5aGgoa9asGdPU1GRmZmZs5MiRgmUQFLKystj48eOZpaUlk0gkrGHDhuzo0aNK+ZKTk5mGhgb7448/ylQHlBAyvmhexeun6lH4Ndm+fTvz8/NjFhYWTE1NjRkZGTE/Pz+2f/9+QXmKsPrFPQr/TX/Ia1ga7t/KEEIIIYQQ8slLSUmBg4MD5s+fL1hu4HO0ZMkSzJ8/H8+fP6/yIDP/VTRnihBCCCGE/GcYGBhg4sSJWLBgQbnWB/uvycvLw6JFi/Djjz9SQ+o9op4pQgghhBBCCKkA6pkihBBCCCGEkAqgxhQhhBBCCCGEVAA1pgghhBBCCCGkAqgxRarUggUL4ODgALFYXK7Vpv+LNm7cCI7jEBkZWdVV+SBUna+dnR06depUdZUihJBP3MCBA2FnZ1fV1RA4e/YsOI4TrAdEyH8FNabIO1u5ciU4jkPjxo3Ltd/x48cxceJENG/eHBs2bMAvv/zynmpICCHkQ1P8YMJxnGDhTwXGGGxsbMBxHP2I8h+xcuVKbNy4saqrUS63bt1CQEAAjI2Noa2tDXd3dyxbtozfHhkZyd/Hqh6KhbLLU2Zx9u7di969e8PBwQHa2tpwcXHBuHHjkJycLMinaJwW95g9e/Y7XxdSdmpVXQHy6du6dSvs7Oxw7do1PHv2DE5OTmXa7/Tp0xCJRFi3bp1gBXFCCCH/HZqamti2bRu8vLwE6efOncOrV68gkUiqqGb/TWvXrq2ycOArV66EqakpBg4cKEj38fFBVlbWR/dZf/z4cXTu3Bn169fHTz/9BF1dXTx//hyvXr3i85iZmWHLli1K+x49ehRbt25F27Zty11mcYYNGwZra2v0798fNWrUwP3797FixQocPnwYt27d4sObu7m5qazTli1bcPz4caU6kfeLGlPknURERODSpUvYu3cvhg8fjq1bt2L69Oll2jc2NhZaWlof3ZsrIP/FNDs7m9ZlIISQd9SxY0fs3r0by5Ytg5pawdeObdu2wdPTE/Hx8VVYu/enqj5H1NXVP+jxykIkEkFTU7OqqyGQmpqKAQMGwN/fHyEhIRCJVA/W0tHRQf/+/ZXSN27cCH19fXTu3LncZRYnJCQELVq0EKR5enoiKCgIW7duxdChQwEAFhYWKusUHBwMZ2dnNGzYsFzHJe+GhvmRd7J161YYGRnB398fgYGB2Lp1a5n24zgOGzZsQEZGBt8tXXhowJ9//glPT09oaWnB2NgYffr0wcuXL/nty5Ytg1gsFnR9L1y4EBzH4fvvv+fTpFIp9PT0MGnSpBLro5irc+zYMTRo0ABaWlpYvXo1AGDDhg1o1aoVzM3NIZFIUKtWLaxatarYMi5cuIBGjRpBU1MTDg4O2Lx5s1LeBw8eoFWrVtDS0kL16tUxa9asYn9JXLlyJWrXrg2JRAJra2uMHDlSqcu/RYsWcHd3x7179+Dr6wttbW04OTkhJCQEgPwX4MaNG0NLSwsuLi44efJkideDMQZTU1PBtZTJZDA0NFS67vPmzYOamhrS09MBAPfu3cPAgQPh4OAATU1NWFpaYvDgwUhISCjxmMXZtGkT1NTUMGHCBD5tx44d8PT0hJ6eHvT19VGnTh0sXbq0QuUTQt6vvn37IiEhASdOnODTcnNzERISgn79+qncRyaTYcmSJahduzY0NTVhYWGB4cOHIykpSZBv//798Pf3h7W1NSQSCRwdHfHzzz9DKpUK8ineIx8+fIiWLVtCW1sb1apVw/z588t8Hn/++ScaNWoEbW1tGBkZwcfHB8ePH+e3l/Q5Eh4ejp49e/LDvpo0aYK///5b6RjLly9H7dq1+WM0aNAA27Zt47enpaVh7NixsLOzg0Qigbm5Odq0aYNbt27xeYrOmVIMU/v111+xZs0aODo6QiKRoGHDhrh+/bpSHXbv3o1atWpBU1MT7u7u2LdvX5nmYdnZ2eHBgwc4d+4c/7muaBiomjNVGZ9br1+/xuDBg2FhYQGJRILatWtj/fr1SvlevHiBx48fC9K2bduGmJgYzJ49GyKRCBkZGWXu0Xvz5g3OnDmD7t27CxqJ71Km4poU1a1bNwDAo0ePStxXMTroyy+/LPPxSOWgxhR5J1u3bkX37t2hoaGBvn37IiwsTOWbc1FbtmyBt7c3JBIJtmzZgi1btsDHxwcAMHv2bAwYMADOzs5YtGgRxo4di1OnTsHHx4f/Eu/t7Q2ZTCYYhx8aGgqRSITQ0FA+7fbt20hPT+fLLsmTJ0/Qt29ftGnTBkuXLuUDYqxatQq2traYOnUqFi5cCBsbG4wYMQK//fabUhnPnj1DYGAg2rRpg4ULF8LIyAgDBw7EgwcP+Dxv375Fy5YtcefOHUyePBljx47F5s2bVTYGZsyYgZEjR8La2hoLFy5Ejx49sHr1arRt2xZ5eXmCvElJSejUqRMaN26M+fPnQyKRoE+fPti5cyf69OmDjh07Yu7cucjIyEBgYCDS0tKKvRYcx6F58+Y4f/48n3bv3j2kpKQAAC5evMinh4aGon79+tDV1QUAnDhxAuHh4Rg0aBCWL1+OPn36YMeOHejYsSPKu0b4mjVrMGjQIEyePBkLFizgy+/bty+MjIwwb948zJ07Fy1atBDUiRDy8bCzs0PTpk2xfft2Pu3IkSNISUlBnz59VO4zfPhwTJgwAc2bN8fSpUsxaNAgbN26Fe3atRO8923cuBG6urr4/vvvsXTpUnh6emLatGmYPHmyUplJSUlo37496tWrh4ULF8LV1RWTJk3CkSNHSj2H4OBgfPXVV1BXV8fMmTMRHBwMGxsbnD59WpBP1edITEwMmjVrhmPHjmHEiBGYPXs2srOzERAQgH379vH7rl27FmPGjEGtWrWwZMkSBAcHw8PDA1evXuXzfPPNN1i1ahV69OiBlStXYvz48dDS0ir1izYg/6K/YMECDB8+HLNmzUJkZCS6d+8uuJ5///03evfuDXV1dcyZMwfdu3fHkCFDcPPmzVLLX7JkCapXrw5XV1f+c/2HH34ocZ93+dyKiYlBkyZNcPLkSYwaNQpLly6Fk5MThgwZgiVLlgiOM2DAALi5uQnSTp48CX19fbx+/RouLi7Q1dWFvr4+/ve//yE7O7vEeu/YsQMymUyp4fIuZRbn7du3AABTU9MS8yl+zKbGVBVghFTQjRs3GAB24sQJxhhjMpmMVa9enX377bdl2j8oKIjp6OgI0iIjI5lYLGazZ88WpN+/f5+pqanx6VKplOnr67OJEyfyxzYxMWE9e/ZkYrGYpaWlMcYYW7RoEROJRCwpKanEutja2jIA7OjRo0rbMjMzldLatWvHHBwcVJZx/vx5Pi02NpZJJBI2btw4Pm3s2LEMALt69aogn4GBAQPAIiIi+DQNDQ3Wtm1bJpVK+bwrVqxgANj69ev5NF9fXwaAbdu2jU97/PgxA8BEIhG7cuUKn37s2DEGgG3YsKHEa7JgwQImFotZamoqY4yxZcuWMVtbW9aoUSM2adIkxpj8dTA0NGTfffddiddr+/btStdmw4YNgvNVXEN/f3/GGGNLly5lHMexn3/+WVDWt99+y/T19Vl+fn6J9SeEVC3F3/j169fZihUrmJ6eHv/+0LNnT9ayZUvGmPDvnjHGQkNDGQC2detWQXlHjx5VSlf1fjN8+HCmra3NsrOz+TTFe+TmzZv5tJycHGZpacl69OhR4nmEhYUxkUjEunXrJngvZkz+2aNQ3OeI4j0/NDSUT0tLS2P29vbMzs6OL7NLly6sdu3aJdbFwMCAjRw5ssQ8QUFBzNbWln8eERHBADATExOWmJjIp+/fv58BYAcPHuTT6tSpw6pXr85/hjLG2NmzZxkAQZnFqV27NvP19VVKP3PmDAPAzpw5w6e96+fWkCFDmJWVFYuPjxccq0+fPszAwEBwbyiOVVjdunWZtrY209bWZqNHj2Z79uxho0ePZgBYnz59SjxPT09PZmVlpXQ/vEuZxRkyZAgTi8Xs6dOnxebJz89nFhYWrFGjRhU6Bnk31DNFKmzr1q2wsLBAy5YtAch7M3r37o0dO3YoDbEoq71790Imk6FXr16Ij4/nH5aWlnB2dsaZM2cAyMdfN2vWjO85efToERISEjB58mQwxnD58mUA8l4Td3d3GBoalnpse3t7tGvXTim98Hj3lJQUxMfHw9fXF+Hh4XxPjUKtWrXg7e3NPzczM4OLiwvCw8P5tMOHD6NJkyZo1KiRIJ+qX7hyc3MxduxYwbjrr7/+Gvr6+kpDRHR1dQW/8rq4uMDQ0BBubm6CSIuK/xeukyre3t6QSqW4dOkSAPm19Pb2hre3N9/7988//yA5OVlwzoWvV3Z2NuLj49GkSRMAEAxFKcn8+fPx7bffYt68efjxxx8F2wwNDZGRkSEYMkQI+bj16tULWVlZOHToENLS0nDo0KFih/jt3r0bBgYGaNOmjeBzwNPTE7q6uvznACB8v0lLS0N8fDy8vb2RmZmpNKxLV1dXMM9EQ0MDjRo1KvW98K+//oJMJsO0adOU5sBwHCd4rupz5PDhw2jUqJEgAIeuri6GDRuGyMhIPHz4EID8ve3Vq1clju4wNDTE1atXER0dXWKdVenduzeMjIz454r3bcX5R0dH4/79+xgwYAA/0gAAfH19UadOnXIfrywq+rnFGMOePXvQuXNnMMYE90m7du2QkpIi+Lw5e/as0siI9PR0ZGZmYsCAAVi2bBm6d++OZcuWYfjw4dixYwfCwsJU1vnp06e4efMm+vTpo3Q/VLTM4mzbtg3r1q3DuHHj4OzsXGy+U6dOISYmhnqlqgg1pkiFSKVS7NixAy1btkRERASePXuGZ8+eoXHjxoiJicGpU6cqVG5YWBgYY3B2doaZmZng8ejRI8TGxvJ5vb29cfPmTWRlZSE0NBRWVlb44osvUK9ePf7L/oULFwRf9Etib2+vMv3ixYvw8/ODjo4ODA0NYWZmhqlTpwKAUmOqRo0aSvsbGRkJxvlHRUWpfFN0cXERPI+KilKZrqGhAQcHB367QvXq1ZU+2A0MDGBjY6OUBkBp7kFRX3zxBbS1tflrqWhM+fj44MaNG8jOzua3Ff6SkJiYiG+//RYWFhbQ0tKCmZkZf22LXi9Vzp07h0mTJmHSpEmCeVIKI0aMQM2aNdGhQwdUr14dgwcPxtGjR0stlxBSdczMzODn54dt27Zh7969kEqlCAwMVJk3LCwMKSkpMDc3V/ocSE9PF3wOPHjwAN26dYOBgQH09fVhZmbGN5iKvt+oeo8s+v6syvPnzyESiVCrVq1Sz1PV50hUVJTS+zgAftiZ4r180qRJ0NXVRaNGjeDs7IyRI0cqDV+eP38+/vnnH9jY2KBRo0aYMWNGqY1BhaKfT4qGleL8FfVQFZG3rFF6y6uin1txcXFITk7GmjVrlO6RQYMGAYDgPlFF0RDv27evIF3RyFf8KFtUScPpKlqmKqGhoRgyZAjatWtXaqjzrVu3QiwWo3fv3mUun1QeiuZHKuT06dN48+YNduzYgR07dihtVxUutCxkMhk4jsORI0cgFouVthf+tczLywt5eXm4fPky/0UfAN9z8vjxY8TFxZW5MaUq4tLz58/RunVruLq6YtGiRbCxsYGGhgYOHz6MxYsXK00sVVVnAOWeK1QRxR27onVSV1dH48aNcf78eTx79gxv376Ft7c3LCwskJeXh6tXryI0NBSurq4wMzPj9+vVqxcuXbqECRMmwMPDA7q6upDJZGjfvn2ZJuLWrl0bycnJ2LJlC4YPH6705cTc3Bx37tzBsWPHcOTIERw5cgQbNmzAgAEDsGnTplLLJ4RUjX79+uHrr7/G27dv0aFDh2JHDMhkMpibmxcb0EjxfpOcnAxfX1/o6+tj5syZcHR0hKamJm7duoVJkyZVyfvzu0Tuc3Nzw5MnT3Do0CEcPXoUe/bswcqVKzFt2jQEBwcDkL+/ent7Y9++fTh+/DgWLFiAefPmYe/evejQoUOJ5Vfl51NxKvq5pXht+/fvj6CgIJV569atW+Kxra2t8eDBA1hYWAjSzc3NART/g+O2bdvg4uICT0/PSiuzqLt37yIgIADu7u4ICQkRRMEsKisrC/v27YOfn5/SccmHQY0pUiFbt26Fubm5yiAMe/fuxb59+/D777+X+4PF0dERjDHY29ujZs2aJeZt1KgRNDQ0EBoaitDQUL4Xw8fHB2vXruV7x8oSfKI4Bw8eRE5ODg4cOCD4Va/wMJPysrW1VdnV/+TJE6V8inQHBwc+PTc3FxEREfDz86twHcrK29sb8+bNw8mTJ2FqagpXV1dwHIfatWvz173wYptJSUk4deoUgoODMW3aND69PEMbTE1NERISAi8vL7Ru3RoXLlyAtbW1II+GhgY6d+6Mzp07QyaTYcSIEVi9ejV++umn9/YLKiHk3XTr1g3Dhw/HlStXsHPnzmLzOTo64uTJk2jevHmJnyFnz55FQkIC9u7dK3ifj4iIqNR6Ozo6QiaT4eHDh3xgovKwtbVVen8HwA9DVLzXA/Iw3L1790bv3r2Rm5uL7t27Y/bs2ZgyZQofNc7KygojRozAiBEjEBsbiy+++AKzZ88utTFVlnoC8kBKRalKU6VoL9P7YmZmBj09PUil0gp/Fnp6euLEiRN8sAgFxRDKwj8SKly9ehXPnj3DzJkzK63Mop4/f4727dvD3Nwchw8fFvyIrMqBAweQlpZGQ/yqEA3zI+WWlZWFvXv3olOnTggMDFR6jBo1CmlpaThw4EC5y+7evTvEYjGCg4OVfi1jjAnCa2tqaqJhw4bYvn07Xrx4IeiZysrKwrJly+Do6AgrK6sKn6vi17HCdUlJScGGDRsqXGbHjh1x5coVXLt2jU+Li4tT+hXWz88PGhoaWLZsmeD469atQ0pKCvz9/Stch7Ly9vZGTk4OlixZAi8vL/6D0tvbG1u2bEF0dLSg50/V9QKgFFmpNNWrV8fJkyeRlZWFNm3aCF73oiHWRSIR/wtkTk5OuY5DCPlwdHV1sWrVKsyYMUOwNk9RvXr1glQqxc8//6y0LT8/n4/qqur9Jjc3FytXrqzUenft2hUikQgzZ85U6u0qS69Ox44dce3aNcEQr4yMDKxZswZ2dnb88MGi720aGhqoVasWGGPIy8uDVCpVGrpobm4Oa2vrSnnvs7a2hru7OzZv3swvdQHIh17fv3+/TGXo6OgoLd3xPojFYvTo0QN79uzBP//8o7Q9Li5O8FxVaPRevXoBkH+mFvbHH39ATU1NZZhyRZj64ub7ladMVXV6+/Yt2rZtC5FIhGPHjpWp8bVt2zZoa2vzIdTJh0c9U6TcFL+CBAQEqNzepEkTmJmZYevWreUev+vo6IhZs2ZhypQpiIyMRNeuXaGnp4eIiAjs27cPw4YNw/jx4/n83t7emDt3LgwMDPgJsubm5nBxccGTJ0+UVmEvr7Zt2/K9IMOHD0d6ejrWrl0Lc3NzvHnzpkJlTpw4EVu2bEH79u3x7bffQkdHB2vWrIGtrS3u3bvH5zMzM8OUKVMQHByM9u3bIyAgAE+ePMHKlSvRsGFDlQv2VbamTZtCTU0NT548wbBhw/h0Hx8ffq2two0pfX19+Pj4YP78+cjLy0O1atVw/PjxCv1S7OTkhOPHj6NFixZo164dTp8+DX19fQwdOhSJiYlo1aoVqlevjqioKCxfvhweHh5KoW8JIR+X4oZkFebr64vhw4djzpw5uHPnDtq2bQt1dXWEhYVh9+7dWLp0KQIDA9GsWTMYGRkhKCgIY8aMAcdx2LJlS6UPW3NycsIPP/yAn3/+Gd7e3ujevTskEgmuX78Oa2trzJkzp8T9J0+ejO3bt6NDhw4YM2YMjI2NsWnTJkRERGDPnj18EIO2bdvC0tISzZs3h4WFBR49eoQVK1bA398fenp6SE5ORvXq1REYGIh69epBV1cXJ0+exPXr17Fw4cJKOddffvkFXbp0QfPmzTFo0CAkJSVhxYoVcHd3FzSwiuPp6YlVq1Zh1qxZcHJygrm5OVq1alUpdStq7ty5OHPmDBo3boyvv/4atWrVQmJiIm7duoWTJ08iMTGRzztgwACcO3dOcG/Ur18fgwcPxvr165Gfnw9fX1+cPXsWu3fvxpQpU5RGREilUuzcuRNNmjSBo6OjyjqVp0xVdWrfvj3Cw8MxceJEXLhwQbD8i4WFBdq0aSM4XmJiIo4cOYIePXqU2oNF3qMPGTqQ/Dd07tyZaWpqsoyMjGLzDBw4kKmrqyuFLC1MVWh0hT179jAvLy+mo6PDdHR0mKurKxs5ciR78uSJIN/ff//NALAOHToI0ocOHcoAsHXr1pXpnIqG5i3swIEDrG7dukxTU5PZ2dmxefPmsfXr15cY1rswX19fpVCx9+7dY76+vkxTU5NVq1aN/fzzz2zdunVKZTImD4Xu6urK1NXVmYWFBfvf//6nFOrd19dXZUjd4uoEoNTwugoNGzZUCuX+6tUrBoDZ2Ngo5X/16hXr1q0bMzQ0ZAYGBqxnz54sOjqaAWDTp0/n85UWGl3h6tWrTE9Pj/n4+LDMzEwWEhLC2rZty8zNzZmGhgarUaMGGz58OHvz5k2ZzocQ8mEUDo1ekuLep9asWcM8PT2ZlpYW09PTY3Xq1GETJ05k0dHRfJ6LFy+yJk2aMC0tLWZtbc0mTpzIh9EuGoZb1Xtk0TDiJVm/fj2rX78+k0gkzMjIiPn6+vJLg5R0Howx9vz5cxYYGMgMDQ2ZpqYma9SoETt06JAgz+rVq5mPjw8zMTFhEomEOTo6sgkTJrCUlBTGmDyU+4QJE1i9evWYnp4e09HRYfXq1WMrV64s8ZwUodEXLFigVK+i78uMMbZjxw7m6urKJBIJc3d3ZwcOHGA9evRgrq6upV6jt2/fMn9/f6anp8cA8J99xYVGf9fPrZiYGDZy5EhmY2PD1NXVmaWlJWvdujVbs2aNIJ+q0OiMMZabm8tmzJjBbG1tmbq6OnNycmKLFy9WeW6K0PzLli0r8RqUtUxVdQJQ7ENVyPnff/+dAWAHDhwosU7k/eIYq8KZh4QQQggh5KPm4eEBMzMzWpKCEBVozhQhhBBCCEFeXh7y8/MFaWfPnsXdu3dVziEihADUM0UIIYQQQhAZGQk/Pz/0798f1tbWePz4MX7//XcYGBjgn3/+gYmJSVVXkZCPDgWgIIQQQgghMDIygqenJ/744w/ExcVBR0cH/v7+mDt3LjWkCCkG9UwRQgghhBBCSAXQnClCCCGEEEIIqQBqTBFCCCGEEEJIBXzyc6ZkMhmio6Ohp6cHjuOqujqEEPLZYIwhLS0N1tbW/MKjRI4+mwghpGp86M+mT74xFR0dDRsbm6quBiGEfLZevnyJ6tWrV3U1Pir02UQIIVXrQ302ffKNKT09PQDyC6avr1/FtSGEkM9HamoqbGxs+PdhUoA+mwghpGp86M+mT74xpRg+oa+vTx9YhBBSBWgYmzL6bCKEkKr1oT6baJA7IYQQQgghhFQANaYIIYQQQgghpAKoMUUIIYQQQgghFUCNKUIIIYQQQgipAGpMEUIIIYQQQkgFUGOKEEIIIYQQQiqAGlOEEEIIIYQQUgHUmCKEEEIIIYSQCqDGFCGEEEIIIYRUADWmCCGEEEIIIR+HqCjgwIGqrkWZUWOKEEI+Q/m5uTiyYiEeXThb1VUhhBBCgMhIRPgMAHN0BPr3B5KTq7pGZUKNKUII+QzdP3McD0PP4PDyX6u6KoQQQj5XYWHA1KlAly5A3bqwD90CTioF0tKAVauqunZlolbVFSCEEPLhpcbF8v/Pz8uDmrp6FdaGEELIZ0UqBX7+GZg1S/7/QjI0jSH932jof/11FVWufKhnihBCPkN52dn8/1PjYqqwJoQQQj4XL8LzsbXdZqTVqAUEBwsbUmIx8NVXSLz2HMuMZwCmplVVzXKhnilCCPlEMZkMCa9fQsfIGFq6euXaNznmDQBAoqMDNXWN91E9QgghBADw+GYGrn2zHs1uLMWXeF6wQSQCxo8HevQAnJ0BIyPYAJhSq8qqWm7UmCKEkE9U6PZNuH5gDwBgzOYQqEs0y7yvojHVdfxP0Dczfy/1I4QQ8plLTASmT0fN31fDNT9PuKleCxivnA00a6a0m1j8oSr47miYHyGEfKIUDSkASHj5osz7SfPzkBornzNlaGlV6fUihBDymcvLkweQqFYNWLECokINqRPwgzfOo6/FGZUNqU8NNaYIIeQT9OzGVcHz1PjYYnIqS42LBWMyqGlIoGNkXNlVI4QQ8hnKygLSE3KAuXMBfX1gxAig0Pzc5w16wxM30EXrBOqP9sbvv1dhZSsRDfMjhJBP0P4FPwueJ719U+Z9k//Na2hpBY7jKrVehBBCPi8JCcC6BYkwW/oj+mA7kJ0szNCkCbB5M6rZOKPnEmDo0E8mtkSZUGOKEEL+Ay5s3wST6jXw+vEDePX5Cimxsdj2w/fIycxAr+lzYFOrDgAg8t5tHFg8BwBgaEFD/AghhFTc9vVZ2D3iNGblTEAtPBJubNcOGDYM6NYN4DhoApg8uUqq+V5RY4oQQj4xjDGV6YreKn0zc9w4uA85mRkAgF3BUzBu5yEAwJ7ZP/H5ab4UIYSQCsnKAv74A4HBs9E3p2B5jUxo4WWjHnBZ9A3QvHkVVvDDoTlThBDyiclMSeb/32HUOKXt904cUVo7KjYyHLGR4YI0I0vr91I/Qggh/1HJyfKFdmvUAMaMgXpCwWfNQ7jBHf9gcf0tn01DCqCeKUII+eQkvY0GAOibWcDew1Npe/zLKKW0LZPGKKVRzxQhhJCSMAYc/puhTupF1NgxHzh+HMjJEeSJ9emBkRf6QqdPAP6apI66dauoslWEeqYIIaQKsDxZhfctHEBCS08fNdzrVaicz7ExtWrVKtStWxf6+vrQ19dH06ZNceTIEX57dnY2Ro4cCRMTE+jq6qJHjx6IiYkpoURCCPnvyc8Htm9jmGy7HTad66HGl97AwYMFDSmRCOjTB7h1C2ZnQ7DkRQ9s3Pr5NaQAakwRQsgHl371DV5Pv4ishwkV2l/RmDL6tzHUesiIYvPWcC/+k03P+D8UTqmMqlevjrlz5+LmzZu4ceMGWrVqhS5duuDBgwcAgO+++w4HDx7E7t27ce7cOURHR6N79+5VXGtCCPlAGAMOHcKD5sPQ+ksLzHvZD3Vxv2C7kRHw1VfArVvA9u1A/frgOPlyUp8rGuZHCCEfWPK+ZwCAxO2PUe3n8o8rT/53mJ/hv3OeDMzNi81raGGNF//cU0qv69cenOjz+z2tc+fOguezZ8/GqlWrcOXKFVSvXh3r1q3Dtm3b0KpVKwDAhg0b4ObmhitXrqBJkyZVUWVCCHn/GAOOHZPPh7p4EUXHO1xGE4S1/h8G/N0bkEiqpIofK2pMEUJIFWF5MuTFZ0HdVKtc+yXHKIb5yRtTYjX1YvOqGsrXesgIeLTtWK5j/hdJpVLs3r0bGRkZaNq0KW7evIm8vDz4+fnxeVxdXVGjRg1cvny5xMZUTk4OcgrNI0hNTX2vdSeEkEohlcrnQY0dCzx9qrT5NawxCivw2LUbfhoMgNpRSj6/nyUJIaQKMZkwrHnSHuUPrxL3Z0xpmB8AOHg2Usrr8+UglY2pz3GuVGH379+Hrq4uJBIJvvnmG+zbtw+1atXC27dvoaGhAUNDQ0F+CwsLvH37tsQy58yZAwMDA/5hY2PzHs+AEELeTfSLfKzr/jcyargCHTsKG1KursDmzXj1KA09m7zCV3u64cEDoF+/qqvvx4x6pggh5AOSpeUKnue9ySjTfnFREXjxzz24NveRrx/FcTAwt+S3dx47GWkJcdA1MkF6ciJk+VIYW1dD/KsXSmUZfeaNKRcXF9y5cwcpKSkICQlBUFAQzp07905lTpkyBd9//z3/PDU1lRpUhJCPTng4sG3CbfTe2xtDECbcaGYmH+Y3ZAggFqM6gEuXq6SanxRqTBFCyAeUn5BVJIUr036bJ44GAMS9iAAgDx6hpqHBb1fT0ICRlXwGcOH1owwLNbgU9EzMylPl/xwNDQ04OTkBADw9PXH9+nUsXboUvXv3Rm5uLpKTkwW9UzExMbC0VL6OhUkkEkhoHgEh5GOVnAzcvg3RlN/x49Vdgk3pDnWgO3864O8PaGpWTf0+YdSYIoR8djJTkpGfmwt9s+IDN7wv+fHZgudcOQdbPzh7EkDZh+qpa2qi2+TpkOVLIZPmQ0NbByKxuHwH/Y+TyWTIycmBp6cn1NXVcerUKfTo0QMA8OTJE7x48QJNmzat4loSQkgFXL8OTJoEnDkDALArtOkBamExvsMbxyD83aP4ubekZNSYIoR8Vhhj2PbjOGSmpmL4qo2QaOt80OMreqa0PS2QeTMGssx8yDLzINIu/oMsKz1NKa08854c6jcsf0X/o6ZMmYIOHTqgRo0aSEtLw7Zt23D27FkcO3YMBgYGGDJkCL7//nsYGxtDX18fo0ePRtOmTSmSHyHkk8LCnoGb8wuwcaM8Ul8hMpEYC2XfYabGbPQfrIHlE6qmjv8V7zUAxevXr9G/f3+YmJhAS0sLderUwY0bN/jtjDFMmzYNVlZW0NLSgp+fH8LCwkookRBC3k1WagpSYmOQl52FBBXzid43RWNK3UoHIj35ML38xOySdkHKvwEnCjO0+LznPVVUbGwsBgwYABcXF7Ru3RrXr1/HsWPH0KZNGwDA4sWL0alTJ/To0QM+Pj6wtLTE3r17q7jWhBBSNtf/jsVe+3GQuboBGzYUNKSqVwf69gX+/BO5sSlIn7YATyM1sGoV4OBQtXX+1L23nqmkpCQ0b94cLVu2xJEjR2BmZoawsDAYGRnxeebPn49ly5Zh06ZNsLe3x08//YR27drh4cOH0KQxm4SQSpCfm4ttP46DcTUbdPp2IpIKNUyS376BdU23D1KP5EPhSL/wmn+uZqoFNRNN5KblIj8hCxrV9VTux2QybP3he6X0wvOiSNmtW7euxO2ampr47bff8Ntvv32gGhFCyLu7fz4J94N+RUDkUjREocBG+vrAjz/KQ5+ry0dAaAIIDq6Sav4nvbfG1Lx582BjY4MNGzbwafb29vz/GWNYsmQJfvzxR3Tp0gUAsHnzZlhYWOCvv/5Cnz593lfVCCGfkVcP7yMuKgJxURFoP+I7fsFbAIKG1ftWuCEFAGommlAz0UJuZKrSPKrCUmJjVKZ/7uHNCSGEAEhPB5Yuhdu8X1EnLZlPzocYd9pNRoNdE+UNKvLevLdhfgcOHECDBg3Qs2dPmJubo379+li7di2/PSIiAm/fvhUsjmhgYIDGjRvj8uXi4zDm5OQgNTVV8CDkU8SkDLGr7+HV1AsqIryRypKZVvAecWn3Vn7BWwC4smc7ru0PAQDIZFKc3rAaD0PPVHodsh4kKKWpGWlCzVTeA1/09Y97EYkjKxYiOeYtTq1fpbJMGuZHCCGfsSdP5N1LDg7Ajz9C7d+GVC7UsRyjYI8IfBM/C0yPGlLv23trTIWHh2PVqlVwdnbGsWPH8L///Q9jxozBpk2bAIBfANHCwkKwX2mLI9LCiOS/IuufeORGpAAyhsQdT6q6Ov9ZyYV6n67vD0HSm2jB9tBtG5GVnobnN67i9tGDOLJiYaXXIWHLQ6U0Tk0ENRMtAEB+grBnas8v0/Aw9Az+mj8TkXdvqSxTnYZCE0LIZ0UmA7KOngPq15cvrDtjBhAXJ98oEuFN+0Goiaf4xXI5vl9kg3PnAK5sq2+Qd/DehvnJZDI0aNAAv/zyCwCgfv36+Oeff/D7778jKCiowuXSwojkU5P7Oh2yzDxoOhsJ0qXJBV+gc18qR2sjJWNSGdJCX4NTF0G3qTVYrhTZjxKhWcsYIknBW1vhnigAeHLpvFJZjy+cBSsU7SgnM0Mpyl9efBby32ZAy920xHrJsvKRevYlJDZ60HI3FZRblKIxlRuVirQLr6HbzBpProQiIykRAJQCZHyzegseXzwH50bNSqwDIYSQ/w7GgKMb3yJtwkwEJq4GmEyYoXdvIDgYljVdMH830LkzoKVVNXX9HL23xpSVlRVq1aolSHNzc8OePXsAgF8AMSYmBlZWBcNVYmJi4OHhUWy5tDAi+ZQwxhC7/DYAwHJiQ6gZF/QmSDPyq6pa/wnpF6ORejQSACDSVkf2k0Rk3YmDtqcFjHvW5PMVniNVnNMbVqNhQI9C+7yBhYOTIE/Mr/JIpKaD3aFZU9gwLixpbxiy7scjHYDFOE+ItJTfZtWt5A01NZOC+yHlUDjSMxLx9/r5Ksv19O8CHUMjePp3LfV8CCGE/AekpuL5n5cRNXU1WqccggbyCrZ5eAA9ewIBAYC7OwD5EvC9elVJTT9r722YX/PmzfHkiXDo0tOnT2FrawtAHozC0tISp06d4renpqbi6tWrtDgi+c+QpRe88eXFZgIApOm5yE/MRn5MQbQdTl0EaXruB6/fpyytUECH7IcJyLojH+qQeTMGsmx5Q5XJZHjz7GmZynt4/jT//zfPniI1Lha52fK5TNK0gtcm60F8ieVk3S/YnhuZKhjCZzrEHbo+1WDylfyHJpGmsKGVfVt5bpVC08Avy3AWhBBCPml5ecDq1fIGkoEBHEe2R6uUfXxDKhsSHGk0HbhxA5g6lW9Ikarz3nqmvvvuOzRr1gy//PILevXqhWvXrmHNmjVYs2YNAIDjOIwdOxazZs2Cs7MzHxrd2toaXbt2fV/VIuSDKhxYQJqcjeynSYhf/49SPpYnw5tZV0vt9SByOS9SIUstvvH5dv51WE5siCNrFvNrbLg298Xji+eK3ScjOYn//6l1K6H4mWf4tHVI3lLQIMu4+hb6rWtArF96D3nSnjAYdnUEAEgcDKDpbKQ03LMw9WQx9NVNkJonbFQ16/UlJNrapR6PEELIJ+zcOWDkSODBA6VNOdDATvTGOCxEjXwztAUg/vA1JCq8t56phg0bYt++fdi+fTvc3d3x888/Y8mSJfjyy4JfVydOnIjRo0dj2LBhaNiwIdLT03H06FFaY4r8ZxTulciPz0bSX89KzJ+0jxatLovU41GC59JCPYAAIMvMR05UqqDxZGpjy//fo50/Oo4aBzWN0htEyXuVX7PMf3vBimJS5flRmXfledVMVQ9gNwqsKXjuYtBIKY8hrSlFCCH/WezWbeR26wW0aCFsSFWvDnz5JRJ+2wEb9Rj84rIZy7aZ4do1QEwtqY/Ge+uZAoBOnTqhU6dOxW7nOA4zZ87EzJkz32c1CKkSyUcikH7uFf88PyELLFeqlE/iYICc8BT5k3+/i+e+SkPSvmcwaGdHPVWqyISNltyIFKUs0tQcwXOxWsHbXauBw8GJRHDzbolVw/ojMyW52EOxXBmKBkNKORwBLXdTJGx/DImDAf86m42op7R/boQ8NLtiflRuVib2zZsJOw9PNO7aEzoNLCAyUkfC2oIP0A6jxgmiCuoZmRRbP0IIIZ+gvDywzVuQumA1DJ5cg0bhbQ0aAMuXA02aAABMABxuJA/iR42oj89765ki5HPGGBM0pAB5L1XROTIAIDZS7olN3PEEea/TVQ4JJACTFR8hTyHzVSL//4ZdAuHS3AdiNTXY1q0PTlTw1tdm2OgSy8mRql4DLPa328h7mSZ4nZP3/duLpSIUrSJy3z9nT+HVo39wYfsmfltKfsE8Kw2RBIYWVvDqM4BPM3dwLLGOhBBCPhHx8cDSpci3cwQ3dAgMnlzjN+XpG8vnS125wjekFBo0oIbUx+q99kwR8rmSZSpH6stPzBJ8iVdFmpyDlGORyI8v+AKfn5wNNcMPO/Q192Uash4lQL9lDXDqH99vLtIkea+T6WD3YhucyWHyRo5ERwfefYPAcRyG/74ZGkXixTo1aIxhKzciLycbEm0d/D78K8F2NakawAHn3u6ChZYdXP8dhidTEY0x7408qIimqzHUTLSQXihIhvjfxlR2esEiwvdOHQOTyaBjaIRbsQfQzDwA1XVcoKdpgkZde8K1uQ8kOrrQ0KQYt4QQ8kmLjgZWrACWLAGysgRfwMPghN/xDZ7XG4S/hhlXVQ1JBX1835II+Q8oHHiiIJHJh/lxgPYX5gDkX7o1XYTD+NLOvBQ8T9j6+L3Vszixv91B2umXSLv4uvTMHxjLk0KaIm9MqVvrFJsv+4186F81l1rg/l21UEtPH2I1daW8eiamMLauDh3DgteiUZdAaIp1oMapQ8ZkiM2KQnRmyXPeFNRMtKBhqydM+zcsflZaQWPqxJrlOPnHb4i6fwdJOQWLlWfsfQGO42BgbglNHd0yHZMQQshH6OFDoH9/wM4OmDMHyCr4fhBRuxOa4SJqIgyLMA73XhkjvuSAseQjRI0pQt4DaaHAE8a9XQTBB8QGEhh2cYJRz5ow7lUTWnVMYdzHpdiy8qpwQd/cFx/fYsL5ifJry0nEEOmow+K7L/ht6vUM8Sj5KgBAV03eMCpr8Ibcl2nIuB2LL2cvQdeJ0+DUsCmstBwAAJn5qZBBhrjsl4jPflVKSYCaqSY/rA8A9P1qQCQRQ5qfh/unjyvlj7p/B5n5BfO+8t9mIudFqlI+QgghnwipFJg3D6x+fWDrVnnIcwBQUwP+9z/g/n1Y3TiIKOtmsLMD/vgDePIEMC15XXjyEaLGFCHvQd6/w/R0GlpCu765YHFWNVMtiCRi6HhaQKStDo7joO1hDo0aesUV90Ep1mgCwIcV/5goIiSqmWqB4zioWxT0TuVo5uBB8gUAgIZYExoiLRhaWqksR1BmYjZif7uDpJ1PoPmIg6NnIxiYWqCRWUcAQJY0nc/7KOVqqeWpmWgJXnPtLywAAJdDdkCal6eUPyn6FWQQrmgft/Iufx8RQgj5hDx5gkxPL2DyZHC5/y7jYWwMTJkCREYCK1cC7u7Q1AROnJA3ooYMAdSVB06QTwA1pgh5D6T/DvMT//uFunAvReEv2QKciqgF/2JSWbHb3gXLl4EVaTAVDudeeLHaD4lJGZjs30eROiqGUBa+jsZ9XaHtaY5k3XhIWT4y8uW9OnrqRjCyKL0xlRtV0AuUfjEaLF8GtezCI9oLjp+el4TSqJloQSRRg0EHO+i1suGH+F3dt7PE/f7JviR4nhOerDLcemGFtwv+L2Ol7ksIIaQS5eUhZ/4S5Nb2gPbdKwAAGTjcaz8BePUK+OUXoFo1wS61agEaGqoKI58KCkBByHvA957824gS9EyZqA4mINIsPkxP3B//wHx43UqsIZC4+ykyb8ZAvZouLEbX59MLz/fKe5WO9GtvoNuo9AZJZcmLzUTs8ttgeQUNSLGJJqwmNPy3fsJrCwBv8sNx6MB8aOrK5xel5yVBR00fumqGZRrmJ80U9ha9/vGi4HmurCDMunndmmAJjJ+HpYrYQL5+lZ6vTanHLsxr+tdInlcQIj157zMk730Gs2/qQmJnoJQ/Ly4TsSvuQLeJFcAB6ZffwHyUB/LeZCBxm3yunU4TKxh1dSpXPQghhJTDy5fAokXAzp2QvHnDJ4fBCUHYhNcPm+GpCCh9ZUPyKaKeKULeg6K9J2LT0numDDrag9Mq+H3DqIcz/39V6yi9q8ybMQCAvNfpYPkFDZeiwTNULVr7PqWejBI0pAD5HDTZv2t0FVzbgmu6/9fZyM/NQXpiAoCC3iNddSPom5mXeszCc9xUeZJ1DcbVbFCzqTf0zc2QKZXPJcvMT0W2NAO3E04j00re4JI4G4ITq25oKaI56pooD4pX19SCjqERtOoqb0vap/o1SDv9EixHirRzr5B29pX8/6df8g0pAMi48kblvoQQQt7R8+fAwIFAjRryKH2FGlJLMQb1cBeX0QypqcA/tNLJfxb1TBFSydKvRPOh0Qt6pgo3plT3TKlb6MB6WsG6EhzHIWlPGP9clpkHkbZwQHX61TfIjUiBUc+a4MTyL+qMMSRsfIDsJ0kQ62vAckIDcOoFvV7SlBwkhjwVlJNyNBKGneTBFvLjlRsW6Veikf0kCQYd7KFurl3i+WeHJSF+3T/Q/sIcxr2KD6yhiiwnH1n3VIcyyk/IhoaVTqE5UwWNUiYTNr7S8+WNKXcjL7BMKfKycpByJAL6rWpAw0Y4Ny0/MRvpl6KLrZOamRa+mrMSgPw1Obt5Ld/z9TojDLcSTwIAnl66jhZffY234VfQLs8VakUGv98+doiv5+BFv0NNIkHSm9fY8N03AABDSytwHAeTfm5I1g8XhFXPj8mENC0Xsux8pByOgF5LG0hq6IPlKS8CnXk7VilNliuFSIMWKCGEkHfGGHDhAtjCReAO7FeeW9ytG9j347D3h+YQ3QR+GAuMHw8YGlZFZcmHQD1ThFSy5L+e8/8XSeRfYNWMJBDpqIPTUit+zhTkX9YVDwDQ863Ob8tX0XuSvO8ZMu/ECRog+TGZyH4ib0xIU3ORfuWtcJ9D4cgJSxakCb64qwjrnvzXc2Q/ShT0eBQnfp3857fMW7HlnnOVfqH4Ro00IQssXwZpkvIwv6LsvBrw/085GonE7Y+R/SgRcWvvK+VN2hemlFaYfqsagtfEtXkLJObIf31UqyYMzX52y1o8vngOj0LPKJVzev3v/P/VNTX/DX1uAY6Tvw0Xntul7WGmtH/K4Qgk7ngiP4818vNg+WWbE6Xq3iGEEFIOjAGrVkFmawf4+IDb/1dBQ0pbWx6h7949YO9ecF7NsXYtEB4OzJpFDan/OuqZIqQS5cVkqEznxCKYj64PMCboJSqNfltbpF+KBsuTIT8hCxo2esiLy0RSSBjy4zP5fIk7nyD11Avot64hGCoIgF+TqbQ6Knq+FF+8TYe48w0jft+3qvctTn5iNsR6ZZ9Zqwh7rkrSvjCIDTUBBnAaIoh05T0/+bnKDTbHVs0Q/1De4MiPzeQX02W5wp4clidTalgqGPWqCTVDTWjY6wvSLR2dIZ4UCC2pLhpXbwjNEyY4/+d6QZ6MpETBc5lUuQcJAMRq6tA3M0NKbIwg6qBGdT2oV9NF3uuCKIJ5sZkFz/NlSLvwusTrVZg0IQuwKn5NLkIIISU4dw6YOhW4dEnQC5Giaw2DqaOAYcMAExPBLjVrftgqkqpDPVOEVKKYxbf4/6tZCIfDqRlKoGZUfK+UKpxYBK268l4KRSMnZuFN5EalQpaRL8ibH5+FxJ1PkBOeLEgv2oAoTv6/85Jk//YmaVQr/2KxhedeKepULiVELZRl5PONCZYn43uKUmJjlPJqmBcM5Sup7yb1zAvhfrbyhpOmqzF0vrCAxMFAZaAJM3t76DqZQUNTEy5NvJS2Z6UL1+dKS4jj/29qYyvYZlzNRvCvgk5jS2GhRYaSpBwKR35sJspC5SLShBBCipeTI1/8qVUroEUL4FJBtNXHcEF/bEGN/Ai8GThFqSFFPi/UmCKkEsgy8yBNF/aQmA6qXSllK+YG5b5KK9NCrhmXhQEHCvdeMClDfmzBF2uJQ0GEuPyELOS9kjcCRNpqEGmrqzwHJisUfjtPhvykgvIVPUCFyyyr/ORsZD2S9+iIjTWh18pG/mihIiJeoXZFcozy0ECRhhg6TeU9PbJU4esiTclBzotUsDwZsu4XDI/Ub2cLky9dod/OFkaBzigrfTNzOHg2EqQ9vRzKB8MAgKS3Ba9Jt8nTBXl9+w+GV98g1GwqbJTpNLCEQUd7aNjJG3iyDOX1qUqi18qmoPeOhvkRQkjZ5ObKx+YZGQFffw2cKRi2nW9ujUDRXrjhMbaiP1KzNfD331VYV/JRoMYUIe+IyRje/noDb2YJF3NVMyxfL1RxFHODsh8lIm7l3dLr828kPO0v5FHsCvcOJe0RBp5Qr6YL7QbyBWXz4rL4uTiif4fmaboYK5VfeB5U/KYHeDvvOvLeZoAxhtjf7gjylvVLfH5CFt7OvQ6WI+9FM+nnCoO2djBoawcNW+XFjNULDVlLfitsPOoYGgEomG9WdJjjmznXELfyLmJX3xU0DHWbWkOsL4F+yxoQ65Zv0Y9mPb8UPE9PSsTq/wUhMyVZUEcHz0bQNxVGFzSpXgONu/aEuoYwaC4n4qDnUx3GfV3/PQ/V8884FSH19f1qyK9fR3sAFeghJISQz1FEBNC4MfDTT0BWofdNe3tg40aovY6C+fBuAIB27YCbN4GhQ6uoruSjQY0pQt6RNDWXj96nUFm9UkDJgRZKoukib1RIU3L44XeZtwoivUkcDaDXwoYvPzeyUPj1QsP19NsKh6UV/mKe8ywZAJBx/a3SNQDK3jOVeV8Ywa/wOWvWNFLKb9y7IEqgotenhntdVHdzR9cJPwEAxPoSQK34taDyXqWDE8m3q1tqQ6RZ8SmkhsUsDPzqkXzOWfJbee+ZkWX51+sS62kAasW/VbNsKYz7uULiYAB9vxqQOBlC10u+KKTiOlLPFCGElCA7G/jtN0g9vgDu3ClIb98eOHIEePYMCAoC1NQwbRpw6hRw9CjwxRdVVmPyEaEAFIS8o6INBo0aeip7dCpKVfQ/dRs9WIz0EKSlXXiNlEPhBfWw1QenIQbLlSI/MRtqZsJGmdnXdQXl5zwvaExxhcJo67eqAf1WNRC3/h/kPE1C/Nr7MOhoL2g8pV+MRvpF5eF2Rb/EJ+5+ivz4LJh9XQdc4QaCVDgfSFQoiAYnFsGwswOSD8rPrdovXkiJfYt1vXsDAAws5HOL3Lxawr1lm4L9RBzEuhqQJgt7pgT1i5O/diYD3q3xK9FWHS7+4OK58P1qCJJj5A0+Q4vSFxAuihNxEOtrQFpouKZe6xpIOyWf78VpiKFd1wzadZUjACpeW2lKDlietFzBTwgh5LNw5QqkvfpC/DISinfIWC1bmF/Yq7K1ZGkpfxCiQD1ThLyjoo0proRehIpQ1WOi6hhFG11ifQmflp+QJWj86Da3LrSfcs+XYYCjUppYt2DdpJTDEUg7+7LYOpsMqAUAYFn5kGXK5/qwPCkyb8YgNyoVOVHCuV+F510petQK06pnBk5TDE03Y3AiDqE7NhfUJUYe+t1QVa+PqKBnSqRdzG9HYg5iw3dfl76WTyuoSSSQaAuj5p3bso4f5qeyjmXAFToPA3976DQq+CQ37lP8Wl4iHXVw/4bnL2vkP0II+SzExwPDhwPe3hC/jOSTD6AzPLNCcSmbup1I2VBjipB39LEMoSrcKDIf6QFOxEHNVJ6WsPkh0i/K15ISaavBsLNjof2EjTBOXQSJvQHehVYtEzAteQMg+428xyv1TEHjK37tfeREyNPzk7OReUMekc+wswNMBgp7iSJu38CSId2xL3wpRG0MkJebg6eXQ5WOaWhZcq+PqgYiAKgZawoaKxXVfsR3GLFmK0au246mgf0E2xJevShTHctCz7s61AwksJ7ZDNbBzaBVq/goUhxXcA98LPcpIYRUqdRUYPFioHZtYM0aIF/+Q+NVteaoj1voggN4BRvMmlXF9SSfDGpMEfKOpEUm92t/YVHpx5AUmTek84W5Uh4144JGkWJIH99QYkDaaXljRt1S2HNStOdLr6WK6HkAtNxNy1RXxf5xiVEAgLBTl8AY44+vELf6HgD5GlkKGjX0lUKR7507AwCQk5OBAwt/wc1Df6k8riLwRGG6TeQ9QRIHg2LnnlVWTyLHcfLFeEUiWDmr7i3SN1UeilcWOo3l56FRqJEr0hDzi0KXpHDvJCGEfLZSU4H58wEnJ+D774HYf+cQ6+kBM2fi6ryzuIP6kEiAceOALVuqtrrk00FzpgipoPz4LOQn5/C/+GvVMYWmixEfRa8ymfR1RU5ECjSq6yL3dbrKOVmcmgjmY+oDMsY3kFQ1IBQ9FcXR86muMl3TzRjGfVyQuOOJIN24nytywlOQnZoGqY4UWY75uL9jC2T5qTBHDZiEGyFq3cVi32xyIwqG/BXuJZNJpXh+UxghMeHVC8RFRagsR9V6ULrNraFmqgWJnb6KPRQ7Fr+pooobzicSV2zOkm4za6iZaJZ8HsVQ3APpoa+h27xapfTCEULIJ0MqBebORf68X6GWlizc1rUrsHIlYGWF4TlA1Gvg22+BGjWqoqLkU0WNKUIq6O2vNwTP9dvaQt1MdSCCdyXSUuOHc2npFz+/R8NauNCuquAVqtLE+hqQpuZC4mxYbE8Nx3HQ9jBHxo0YPoqfppsxH/xgYe9O8oy75P+4GTQpOOYz1UvnZqcIF7cVaRfMy7p99CDObv5DaR/Gil/YV6nOYpHKYXAaNfSQ+yLt3/+Xv4FSmqLhz98VJ+ZKHM5XEj4IRWouMq6/hW7jis3bIoSQT87Zs8gd+j9oPH/Mf+FlHAeuUyd595OvL59VIgEWLqyaapJPGw3zI6SMWL6MDzHO8qTCjRygZlQ560pVJpU9UyrSTIfWgU4TKxgH1ixDmYWGE/5bVlZ6mlK+9Pxk1QXoFrztJD1+xf+/aAj2uycOq9w94aV8/pGlU0007BIIkVgNX81bVmq9AcD4S1fotbSB6dA60KihB3VLbRgUOW5lEKupod3/xsKpYVM+7cvZiyr9OGVR+PXOvBlTJXUghJAPKjoa6NwZaNkSGs8fAwBk4LAeg7B31iPgwAFBQ4qQd0E9U4SUAZPK8HbxTXAiDhbfeSpFRhMbaVZ6FL/KoFh8V5Cmr5ymbq4No65OZSqz8JdzRcNqw3ffKOXLyk9XSsuwyMKhK8vQxjoIxhJLSPcVrC+lPLywYDiaff0GePnwPvJzcpAYLW+A+Q0dCQt7R/j0G1imegOAdh0zoI583pL5CI8y71cR7i384N7C770eoywEPZGqOwgJIeS/IT4e2LhRPjcqLo5PjoQtvsIWXIA3rH8D2n8L6OgUXwwh5fHxffsj5COUn5gNaUI28uOyIE3JUYqMpmro3MeAE3GCMOicugga1fTeqUxhY0oLMpkUWakpSvkScqIhZcKFfJ89ks+B4lRMVCraGGWyguF8Em0dGBVZGLciC+B+jkR6Gny7lMmoNUUI+Y+6eBFwdwcmTChoSOnr4/HXC+GGR7gAbxgaykf3qVFXAqlEdDsRUoKU45HIj8uCdv2COTD5CVlKkdGKixT3MTDs7CgIhf6u1EwLD/PTRFp8vMp8DDKERC4EBw697CcCAN+4Yih53hOTyZCemCBIM7S0RtyLSP65htb7mZ/2X8NxHCy+/QIxS27RWlOEkP+eFy+QPeFHaO4qEn6vc2dg/Xq4mprC7w1Qsybwww+AsXL8JkLeCfVMEVIMJpWH8866H4+MGwVzTfITsj+Znqn3Qc1ECyJddYj1NSA21OQXpBXk0SgIksHAkJATDQB4nRkGALifJFwnSq+FMBx7elIi8vNy+eeeHbvAwKLQQrXVVIdvJ6qJ/w2bX3gR5c/VnDlz0LBhQ+jp6cHc3Bxdu3bFkyfCCJUtWrQAx3GCxzffKA9lJYRUoehoJA+bgAynusKGVIsWwIMH8nlRpvIlPfbvlweXoIYUeR+oZ4qQYkiTCxpMuVEFw9hyX6QpTeQXlxBh77+GUxPB4jtPcJw8ylxyjLyhZFzNBt0nT0d+Xh4MLayQnpgAHSNjxEWF48KfmxD3dB+ypPJ5VB6DugJHCsosGnwi+a28TD1TM/SZMQ/6ZuaCMOn95y55r+f4XyPSEPMRG/MTsqFRKGri5+bcuXMYOXIkGjZsiPz8fEydOhVt27bFw4cPoVNoEsXXX3+NmTNn8s+1taknlJCPhXTnbuQMHA7D7CQ+LVdNCxqjv5HPlyoyjk9EXQfkPaLGFCHFKNz7JMsomPujKiKausXn9UVLrFPwZTzp354pu3pfwMC8oPfIwFy+eLGVkwtM7e3x4tE9fpvDFw0Ruv131DJsiixRutLaR4oyTarXgL6ZfIilVU1Xfru6xufTeK0sYhOtfxtTWdCwebd5c5+yo0ePCp5v3LgR5ubmuHnzJnx8fPh0bW1tWFpaFt2dEFKVEhKA//0P4t27ofjUzYU6/kR/TBUtxLWxRqhB32zJB0ZtdUKKUXRelCom/d1g3M8V6pafb1ggxTA/I0vrYvNo6grXv9LS04daA33ciD+GW/lnlMuMkZdpWCjohL1HA7Qf8V2Zw6ATIcVQ1Pz40u/rz0lKirzX2bjI+J+tW7fC1NQU7u7umDJlCjIzM0ssJycnB6mpqYIHIaQSnTkDeHoCu3fzSbu5nqiOVxiC9cjVMcKjR1VYP/LZovY7IcUoy5dOzdom4DjlyHSfE8WQPMMSouvpGhUsOGvh4AwA8OjYGRtODId6riYYY4LrqCizcMQ+juNQ27d1pdb9c6JmKg+SUnS+3+dMJpNh7NixaN68Odzd3fn0fv36wdbWFtbW1rh37x4mTZqEJ0+eYO/evcWWNWfOHAQHB3+IahPyeUlJAX78EVixoiDN1BRYvBiXbnyJxBUcxowEpk+nOVGkalBjipBilPalU6eR5WffkGIyGVJi3gKQR9srjpt3S1w/EIKkN9HoOHo8AMDA3BwcJ0JeTjYyU5KhY2j0f/bOOzyKcu3D92xL7x2SEHpvAiIIUhXFhtjLpyB21KMePdajHnvvvfeuiIBioSNFeu8Q0kjPbpJNts/3x2ybLSFAIJT3vi4uZt55Z/bdkmR++zzP7/HO90S7mrqm4MDwRqaaEXE9UZg6dSobN25k8eLFqvEbbrjBu927d2+ysrIYM2YMu3btomPH0M6Y999/P3fddZd3v7a2lpwcYZQiEBws9fXw/S3zuGrh9ej37vIdOO00+PJLyM7m4bPhhhuhe/fWW6dAIMSUQBCG/d10JpzT4Qit5OilrroKh92GRqslPjUt7DydXs+1r7ynGtPq9MSnpWEqL6OmtMQrpmRZ9hNTopdUS+Gx7xdiSuHWW29l5syZLFy4kOzswIbRagYPHgzAzp07w4qpiIgIIiJELZ9AcKi4SkpZ+6+PMPz8PZMda30HIiPhmWfgttu8jhJJSco/gaA1EWJKIAiB7JKDevLEjshGtjkxL92HLjUKjUHbSqs7evCInoT0DDTaA389EjPbYCovw1i6j+xuPQFoMBmxWy1Ikob4tIwWXe+JjCcy5TI7cDU60ESdmL/+ZVnmtttuY9q0acyfP5/27dvv95y1a9cCkJUlxL1AcNiQZfjxR+xXXctJ1jrVodruJxP/y5fQqVMrLU4gCM+J+ddUINgPTpMVnDJoJdo+firIMpJW+SYs8ZwOoDkx0/tWzpxGg8mIVm9Aq9MRnZAAqI0iDoTEjCz2soZdK5eTv3YVQy66nMZ65Y9oXGoaOv2Ja+Hd0mgidGhi9bjq7Rhn7ib54i6tvaRWYerUqXz11VdMnz6duLg4SkuVNNWEhASioqLYtWsXX331FePHjyclJYX169dz5513ctppp9GnT59WXr1AcJxSXAy33go//4x/fHc7nXmWe9kYM5llHTWcmH95BUc7QkwJBCHwpELpkiPdtt2+X+EeUXWi4bDZWPD5h6qx3mPGAQdf2+RJ49u5YikA5fm7OHnCJapjgpbDZVYa9jasKiPpws5BlvQnAm+//TagNOb15+OPP2bSpEkYDAb++usvXnnlFcxmMzk5OVx44YU89NBDrbBageAE4Lff4PLLFaMJN4Vdx3LmtlfYTE/GjYOPX4ITvERZcBRzxO4Kn3nmGSRJ4o477vCOWSwWpk6dSkpKCrGxsVx44YWUlQX38BEIjjQe8wlPnYkATOXBP5v561YDBy98AkVYzb4Sfn/7FUDt5CdoGSS971e+ZUt1K66k9ZBlOeS/SZMmAZCTk8OCBQuoqqrCYrGwY8cOnnvuOeLj41t34QLBcUbjqs1w1VUwfrxPSKWnwzffkLXhD7pe0JNZsxSt1aNH665VIGiKIyKmVqxYwbvvvhuUInHnnXcyY8YMvv/+exYsWEBJSQkTJ048EksSCJrEG5ly15kIoMZtV+5PXWUFcPBiqinBJJz8Wp7IHj6L+qrPN7fiSgQCwYlKwU4bn/d5Dt2gfoorn4eePWHjRrj0UnR6iZ9+UnSWiEgJjnYOu5iqr6/nyiuv5P333yfJz3LFZDLx4Ycf8tJLLzF69GgGDBjAxx9/zJIlS1i2bNnhXpZA0CSOSndkKlVEpkBJ8SvduS3s8cSMgxM+CemZ4a8pxFSLk3iu2onOZXW20koEAsGJhtUKn12/iIjOufzfhnvRy0raMXo9PPoo/PMPpIV3hRUIjlYOu5iaOnUqZ599NmPHjlWNr1q1Crvdrhrv1q0bubm5LF26NOz1RJd5wZHAF5kSYgrgu8cfYPm078IeT0hPP6jr6gyGsMfiklPCHhMcHNoYPdpkX7RV2KQLBIIjQmUlumuv5uoPTiMDX8r4LMMFmNbsVjruRke34gIFgoPnsIqpb775htWrV/P0008HHSstLcVgMJCYmKgaz8jI8LorheLpp58mISHB+080RRS0NLJL9quZEml+Toedfdu3NjlHq2tZ173EjCzS80Qfr8NByhXdvNv7a0wtEAgEh8z8+dCjB9qvPvcO7aY95/ILV8f+xEZj033eBIKjncMmpgoLC/nXv/7Fl19+SWRky92Q3n///ZhMJu+/wsLCFru2QADgrLOBwwUaCW2iEFOm8vIj9lj//nYm//52JlNeex9Jc2K6Jh5uDNlxRPdXIonVX25BtotUP4FAcBiorVWa7I4fDxVKfS0JCXzY8yW6S9vIuflctm+HU09t3WUKBIfKYbtbWbVqFeXl5Zx00knodDp0Oh0LFizgtddeQ6fTkZGRgc1mw2g0qs4rKysjMzN8HUVERATx8fGqfwJBS+KodKf4JUUgaUXlq7FMbTyhj4gkMs73czfssqsP6frjb78HgNGTbzyk6wiaj3+qX+PmE9PVTyAQHB7m/mrBcf9/IScH7r8fGt3pxMOGwZo1jJl5J8tW6XnrLUgR2dyC44DD1mdqzJgxbNiwQTU2efJkunXrxr333ktOTg56vZ45c+Zw4YUXArBt2zYKCgoYMmTI4VqWQLBfnO7UJ62olwLAWLpPtX/zB1+CS0ZGxtbQQExS8iFdv/upI8jr05+oOPHFyJFCY9B6t12NjlZciUAgOF4oKpSZNvEzrlh5Fzr8vqSRJLjxRnj5ZYiMJA/Iy2ulRQoEh4HDJqbi4uLo1auXaiwmJoaUlBTv+JQpU7jrrrtITk4mPj6e2267jSFDhnDKKaccrmUJBPtF2KKr8RdTGq0WvcHXn94Q2TKCUwipI4shz/d6O2tE3ZRAIDg0pr9XRsQtU7jNOUt94JJL4MEHIaA1jkBwPHHYxFRzePnll9FoNFx44YVYrVbGjRvHW2+91ZpLEgiEk18ARnd/qQ4nDWLUNTe08mpaBlujg9I9JtJy4qgsrie7axKSJFFXbcFstJLZIcE7t7HextalpbTvk4rFbCc6wUC832ejqrgeSZJIbhPTGk/loIhoF09Ep0SsO43C0U8gEBw8Dge8+SbjH38avdPn0vcjE1k4+D+88s1g0SdKcNxzRMXU/PnzVfuRkZG8+eabvPnmm0dyGQJBk3id/ESPKQCMZUpkauA5Fxx0c96jjT8/3kz++krv/ulTetBlUCZfPrwMp8PFZf89mZS2sQB889g/NNTaWPLjTgAkjcQtb40CwG518uNzq9BoJSY/Nwyt7tgxzYgd1tYtpkRkSiAQHAQLFsDVV0NBAR4/131kciPvsiTlPJ4XZbCCE4Rj5y+/QHAEkGVZpPn54XI6MZUr3zYeT010/YUUwIZ5xdgsDpwOFwDF243ILhmX00VDrU01V3bJONwOeKaKBuxWJ9YGB3XHmCjxfL4dVY3IstzKqxEIBMcElZXw1lswaBCMGgUFBd5D9rPO5ezM1WRefx7btsHkyYiolOCEoFXT/ASCow1XvR3Z5gIJdElCTNVWVuByOtHpDcQeotHE0UzpbhPv37HQu2+3Ovjx+VWU7QndFLy20kJyVgymcl+KnLG8gcSMY6fppC4pEiSQbS5c9Xa0ceEbKAsEghMch4Oy/7xI8hv/Q28PSA3u3h3efBP9qFHMrwVhsiw40RBiSiDwwxOV0iZFIh1DKVuHC0+9VEJG5nHT98naYN/vnNLdtWGFFICpolERUxWNqrFjCUmnQZsUiavejrPWJsSUQCAIiWV3CcVjrqZj/hz1gYwM+M9/4JZbwN1PVAgpwYmIEFMCgR+OSne9lEjxw+Vy8uNTDwPHV4pfc0RPweaqJo//+tZ6Rl7ZFVN5wwFd92gj47b+SJFaJJGLIxAIQuD8/kdcl11DR5fZO/ZnwoWM/mEq2lGngVbbxNkCwYnB8fFVs0DQQggnPx9Fmzd6txPSM1pxJS1Lc0SPy7H/GqL5X25TR6bKjz0xpYnSCSElEAiC2bYNLrkE7SUXEe0WUqVkMJo5nGH6gfd3jhJCSiBwIyJTAoEfwnzCh9lY493W6vVNzDx22LfLxLLpuwHI7ZlC3zHZxKdGUVVcz+x3N4Y9b+zkHvz18eag8eLtRu+2qaIh6LhAIBAcUzid8PnncOutYPZFo35LvJyrjK9Tq0vhgf/ANde04hoFgqMMIaYEAj+8tugiMuV18QPI7Ni5FVfScvz0/CrvdlbHBHJ7pACQmB7eOEKr13ht0puirtKCy+lCoxUBf4FAcAyycSPcfjvMm+cbi4+H++8nddR/6HaXhrffFv13BYJAhJgSCNwIW3Qf9dVVlGzfAkBMYhKdTx7ayis6NGSXTNHWGtVYQrpaMF9070AqCmpZ8PV271hWpwRGXtmN5KwYxkzqTmxSJMXba1g5K191rlavwWl3UVFYT0aeqMAWCATHDk6zhTXnP8LAOc+pD1x6qWKDnpzMIGDxYmF1LhCEQnyFKhC4cTU4kC1OxRY9+cSNTNmtFt69+Rr2rFkJwMirrzvm62o2LCjil9fWqsYS0tTvcUb7eHqNyFaNDZ3YieSsGAC6nZJFdtckBp/bgQ790lTzDJFK7cAPz6xs4ZULBALB4WPviz9QmdxZLaRSU+Gnn+DrryHZ1xLjGP8zIBAcNoSYEgjceG3R4yOQ9Cfuj0Z1cZFq/3hw8lv07Y6gsUAx5eGCu08CIL1dXNgokz7SV3g9dnIPLPU+u/XmWK8LBAJBq2IyYRpyJu3uvpgMm+93/pz+d8OuXXDBBUI9CQTN5MS9YxQIAvDVS53YKX6mijLVfmJGViut5NBZ82cBnz2wJOSxiOjQphptOiUy9Z3RXHz/ICRN6JsJrdY33nVwJlHxvh5NP7+85hBWLBAIBIcRlws++wwGDCBh2e/e4WUMpi9rOWPd8+RXi1RlgeBAEGJKIHDjqHTXS6WeuCl+AMbSfar9yNj9my8crSz5cSd11Zag8W6nZB7SdfuPa4fOoKH3iLYAjL2mh/dYZWE9Ltf+rdUFAoHgiLJ1KwwerFjx7doFgCsqmv/oX2YoS7B27cu8eZCX17rLFAiONYQBhUDgxnkCm09sWjCHqqIChl8xCWNpSWsv56BxOlws/n4HuT2SyeuTGnR80jOnEhmjR6M7tPSVxPRornvxNLTudNCcHsmq42v/LOCkce0O6TEEAoGgRbBY4Pnn4cknwWr1jXfrhmbGDNr93okHS+HBByHyxPvzJxAcMkJMCQRuTlRbdFmWmf3WywDk9T1JFZlq339gay3roNi8uISNC4rZuKCYSc+eGnQ8JjGixR5LG1BXN+DMdqyavReApdN2CTElEAhancYVG2k8/VySTfnqA/fcA489BpGRTO3UKksTCI4bRJqfQODGa0BxgompBpPRu11XVUlNmSKmhl58JWfffk8rrergMJb7Gud+++SKI/rYg85ur9rf/HcJDpvziK5BIBAIPGx84mdcg0/xCSmtVhFRZjM895wIQwkELYQQUwIB4Gqw42pwACdeml+NX1pfzb4S6qsqAeg37mwiomNaa1kHhdPu8m431tpUxyKiD28gXqvXkNnBV7g97/Ot/DNzz2F9TIFAIAjCaGTn0Kvp9d8LiJHNAKxkAHOeX62IqOjwTcoFAsGBI8SUQIAvxU8TZ0Bj0O5n9rGFy+nE1tgQ9rh/Wt+2pQsBiIiJITI27rCvraWpdZuIBBIZo2fi3QMO++OfPqWnan/93KIwMwUCgeAwsHAh9O1Lp6Wfe4d+4VxGsIDrXuuDw9GKaxMIjlOEmBII8KX4HY9RqR+ffoR3b76GhlpTyOP+YsqznZjR5phs1GuqCBZT7fumMuXF4SS3OfxRtviUKLoMzjjsjyMQCAQqHA64/34YORIKCgCwRcVzI+8wkZ/oNzSG2bNBJyrlBYIWR4gpgYDj13zC5XRSsGEttsZGdq5YGnJOKPe+xMxjr7eU0+GirirYBn3ohUe2ujq2BU0uBAKBYL/s3Qunnw7PPAOyuy3Daaeh37we06U38uIrOhYuhK5dW3eZAsHxiviOQnDQXPfpCv7aUg7A0vtHk5VwbAoRZ62V2j8VFzZd6vEVmaqtrPBuO6xWpj37P3avXsH4W/9NlyHDefemq2msqw06L+kYFFN1VRZkGXQGDTe8OqL1Imt+j+t0uFg/r4g+o7JbZy0CgeC4xdbgYOO1L9J/1hNI9fXKoE4HTzwBd9+NpNXy9deqX0kCgeAwICJTgoPC1Gj3CimA52Zva8XVHBqmP/Z6t4+3yJR/1Kl09052r1Yc7n5940Xy160OKaQAEjPbHJH1tSQeJ7+EtOhWTVHsPlQtRBd9u72VViIQCI5Xdny/lj0pAznp2/t8QionB+bNg3vvVZz7EEJKIDgSCDElOCj2VplV+9PWFGNzuMLMPrpxmnxNDI8/MeWrh9qyaJ7q2LxP3lXtX/HEi97thPRjq+6nZEcNs95cD0BCeuu+h4np0UE9rtb8WcCXjyzDWBbeCEQgEAj2S3k5G0beRvtLBtLVss47XH/JtbBhAwwb1oqLEwhOTISYEhwU+VXBN4WfLsk/8gtpCWTf5vFmQGEsC66H8mAqL1Ptp7fv6N1Oymp72NZ0OJj24hrvdkJa6wvimIQIleHFkh93Yixr4IfnVrbiqgQCwTGLywV//AF9+tB7wRvoUHrYbaEbo5nDxbUfQkJCKy9SIDgxEWJKcFDsrTQHjX1yjIopp7sfUdyIbDSRR76MsK66kn07t1G8dTMWcz2bFszxCh2zsYby/N0Hdd3Kwr0UbtrYrLn/9+xraHU6Lv3fs0y8/3/EJCYd1GO2Bi6nOiIaFWdopZWoOe9f/YLGrGYHDrto5CsQCA6AqioYPhzGjYMy5W+DRRfDkzzAQFZS3nM0Tz7ZymsUCE5ghAGF4KDwRKYuGZjNdyuVXjrFxkaW765icIeU1lzaASG7ZBzVip12zODWMV344NYpuJzBN9h3ff0Ln949lca6Wia99DYpbXOafc366io+vXtqs+aed9cDpOd1ACC7W8/9zD76qKu2qvaPFje9mIQIsjomsG+X2pJ+0Xc7GHVlt1ZalUAgOKaorFSc+tau9Y2dcgrWD77n/bOzufVSeOwxiDg6fu0JBCckIjIlOCj2VCoFr8M7p5GT7Eur+ml1cWstqVnILlm176y1gUMGrYQ24cj/NbKY60MKKVDS8DwGEQUb1h7QdUt37VDt9z19PACSpMEQFa06lph17JlN+OMxngBIy42j40lprbiaAEIUf29eFD71UnD4efrppxk0aBBxcXGkp6czYcIEtm1TG+hYLBamTp1KSkoKsbGxXHjhhZSVlYW5okBweDB+9St06uQTUikp8OGHsHgxCT2z2bQJnn1WCCmBoLURYkpwwHy/spDVBUYA2qfG8OLF/bzHvl1ZyFUfLG+dhe0H6x4TJY8upX6Zz5TBUelu1psUiaQ98rZHprLSsMf2+gkou9Uadl4ozMYa1f7oa2/k39/O5K5vfiE1p53qWGJ65gFd+2jCYXcy83WlCLt931QueWAQGu3R82stIip08H/HSnFj3losWLCAqVOnsmzZMv7880/sdjtnnHEGZrMvdfnOO+9kxowZfP/99yxYsICSkhImTpzYiqsWnEhY6uzMGXgviVeeDSZ3ZDsrC/7+G6691uvUF3P4+5ALBIJmcPTcdQiOGe75Yb13Ozclmr456qLXxTsrcQVEgI4Gan7cgWxzYvx5p3fMUeUWU61kPFETomGuh/x1q7zbxrJ9YeeFInC+RqP1bo+efCM6g/JVZoeTBqGPPHZNN8rzfdbuUfFHR62UP6dc4DP1SM2J9W7/8cGm1liOAJg9ezaTJk2iZ8+e9O3bl08++YSCggJWrVJ+3kwmEx9++CEvvfQSo0ePZsCAAXz88ccsWbKEZcuWtfLqBcc7W3/bw/aM4YxZ9Zx3TO7TF5YsEV13BYKjFFEzJTgk4iP1ALxxRX9u/crnqPbmvJ3cNqZzay0rJC6LQ71vc2Kcpgir1rBEX//XbP58/42wx3eu8N24+VucNwdjEyIto0Mnbv/shwO6Xkvxz4zdrJiVz5k39qJj//QDPn/9vEKqSsyMvLwrkkbCbLJ5jx2N7VRS2sRyy9ujvPtv3eyzp//xuVW065WMxezg1Is6eXtjbVxYzIKvlLSzkVd2pWBzNcMv6Uxs0rEreo9mTO5v/pOTkwFYtWoVdrudsWPHeud069aN3Nxcli5dyimnnBLyOlarFatfBLm2NnQPN4EgJLIMH39M7s13EW1TPpM29NzP08RPuJNH8sR33wLB0Yr46RQcEP4Rpzg/57sB7dTuby/+eXQ3KpWdLsx+6X6tEZlqSkgFcuBiyje//5nnBh2XJMn770jhcrpYMSsfgNnvNs9l0B/ZJbPo2x1sXlRC0XYljdFU3ug93nXw0ZmuGO61Lt1tYvkve1g3p1DVf8ojpADmf7mN3WsqWPjN0f3zdKzicrm44447OPXUU+nVqxcApaWlGAwGEhMTVXMzMjIoLQ2flvv000+TkJDg/ZeT03zDGMEJzu7dMGYMTJniFVI76chQlvBmxL9JyxC3agLB0Yz4CRUcEHO2lnu3F9zj+8Y9KyGK2XcMV82978f1NNjU0aAjiSzLmFeWUb9sH/VLS3DV273HHDVWaucWeve1yUdWTNksjap9j0FEOOqqKrDbwtdNyS4XS3/8mvmffUBlQT6VhXsBOOvWfzPi/6499AW3ALtWV6j2ZVkR5rvXVFC62xTqFBVmv+bKmxeV4LS7WP6LYhvfoX8aWZ0SW26xh4mrnxoacvyHZ1ZSV23BZgn987JnXSXOY7Qp9tHM1KlT2bhxI998880hX+v+++/HZDJ5/xUWFu7/JIHgl19gwACY54taV55xOYM0q7H3GciqVXDLLa24PoFAsF+EmBIcENd/5ms6mhyjrlHplhnPoDxfhOqbFYW88HvrfaPeuL6Smh+2Y/x5J8bpu1THzEtLkP1uXHVHWEwFRpq6DT0NnduSqfPJoW+4a8vDmxZs+XsBS777klWzfubTe271jncdMhytTt8CKz50/vhQXSfUUGujptTMb+9u4MfnVnnFVTj8o1A7V5Uz/2tfBKfTgANPGWwN4sJ8zmwWJ98+8Q+misaQxwHW/lVwuJZ1QnLrrbcyc+ZM5s2bR3Z2tnc8MzMTm82G0WhUzS8rKyMzM3z0MyIigvj4eNU/gSAssgyvvAITJoDns5abC7//TurvX/Hd7Hj++Qd6HnvdKgSCEw4hpgTNptG2/2ajr19+kmr/x9VFqn1nnQ1XM67TElh3GcMeq//bV1NkaBePPuPgbJHqqitx2Gz7nxiAv0HEyRMupm33nlz11MuceslVnHHT7aq56XmKiUFNmFQ/u8XCiumha6C0uqOjLNI/quShPL+W6n1mv/26JgVVoNDYusT3eiSk+WreXGYzjooKLFu3YtmyBTmM9Xxrcf4d/UKOWxsc7GzC5W/3moqQ43XVFpxOEbVqLrIsc+uttzJt2jTmzp1L+/btVccHDBiAXq9nzpw53rFt27ZRUFDAkCFDjvRyBcchu7bYWNX1crjzTkVUgdJLavVqOOMM766wPBcIjg2EmBI0m4JqX11Hm4TQ37BnBoybrb7oj7POxr4nl1PxzrrDs8BAmmkoGDfq4GobavYV897Nk5j27P8O4lxFzHUfPorhl1+DJEmkZOdyyoWXERnjc30bdtnV3j5Q4Uwl3pxymTet72jlsweXBI39+vYGlUD64dmVrJ9XFDTPg6miIewxfzG1Z+KF7Bh+GnsmXMCeCyay78GHDnLVh4fsbskMPr9DyGOrf1eiT50HZQQdC+WQWb63ls8eWMK8z7a27CKPY6ZOncoXX3zBV199RVxcHKWlpZSWltLYqHwWExISmDJlCnfddRfz5s1j1apVTJ48mSFDhoQ1nxAImstvL26motcoBuz41jd4773w++9KHymBQHDMcVjFlGiOeHyxp9IXRXjn/waEnffV9YO926mxvq/WLNuqAbCXmJGPQP2HI0Q0JKJLUtBYZOfEg7r+pgXKN9cFG9ftN0UtEE+aX2JGVsjjY669mZyefeg37mySMrNU5/jjsNtxOkLX2Zx/z38PaE2HC5dLxuXwvT5Rcb60w4JN1aq5i79TNxv2xz/Nz5+E9CgiopVrOuvqsO1VC0vTzz8f6JIPO71HZjd5PDYx+CtpOcSPzL5dJvf/xpZY1gnB22+/jclkYuTIkWRlZXn/ffut7+b25Zdf5pxzzuHCCy/ktNNOIzMzk59++qkVVy045rHZWDHgJs66uyenuJQvlxqIYtOj38Ezz8ARNAMSCAQty2HNAfI0Rxw0aBAOh4MHHniAM844g82bNxPj7jZ35513MmvWLL7//nsSEhK49dZbmThxIn///ffhXNpRxRMzN/PB4j0AfHPDKXz9TwHVZhufTD4Zrebo+AX74h/beH2uYiN+Xt829MlODDt3aMdUVj00lgFP/EVprYWBT/yFsd7KfHw1BI4aC/q06MO23sZt1Vi31wSNxwzMUI0nnt8R6SCbvMou393tLy8+qbIyP/v2e+h26oigc1xOJz8+9TAFG5XonEcoBdJv3Nn0G3e2ska34Fr356/0HjOOjPa+3kUzX3k25PnpeR3pNHBwyGP7w2PNnZYbx8X3Dzxkx7/6Got6be3i2buxCoDibcHvkT8VBXV899QK1Vi7Xine8wHOmdrXu20rCF1XZJoxg4Rzg10NDyeyLFPy77tx1teR8847SBrf5ywiSsfUd0Z799+8aa7qXCnEz72pshFZllXvhyeyV1dlwelwodWJZIP90ZwvPiIjI3nzzTd58803j8CKBMc9paVw6aUMWr3QO7Sb9lzO18QuHMycJk4VCARHP4f1L69ojtg8PEIK4LL3ljF9bQmLdlSyo7yuFVelxiOkAHKS99+TKTnGQFyEotUr6630Q6s67qiyhDqtxaj6OLgpauxpbYnsrI5MRfVKPejHqKv23dD7CymAWa89H/Kc8j27vEIKIDGzzX4fx5PmB/Dne697t2VZZtfK0D8nWv3Bf0/iseauKKjD4ueAeLD4R5TGTu7B4PNCp7iFYu7nW4LGcnsmq/bjU32ppfYwYqrknv80+zFbCqfRSO2vv2JeuAj7fpzdup+qFtU9h7fh1Is6gQRn3tgLSQKH1UlDrbo+z/PayrIiqAQCwVHGjz9C796wUBFSDl0Ej/IIfVlH92sGM316K69PIBAcMke0Or0lmiMeb40R6yzhb1af/nUrn1578hFcTWgsdnUBf4ROG2amD0mSaJcazcZi5f1JCmipWv3NVto8MqRF+xw562xUvLseR6U6HazNo0rRuBShRZIk2jw2FNnuQtJp0ETs/7mEo6nGuOGoq6lS7SeGiUz5k+QnuMr37GbuJ+/SY/ho4tPUDna3f/YDr119EUDQTXdzqShQC/jvn1lJp5PSOWVCBzRhInj56yvZt8vE4PM7oAkVUXFHT9p0TvT2gkrMiFb1VvLHE6XpNDCdysL6oONZKb60xv5rX6Hm8wJSJk0CwLY3vONdwY03kvPmm0hHyJTDX9jZCgowtGsXdu6oq7pxyvkdkTSg1WkwROroNzaXHqe2wRClIy4lktpKC6aKRmISfCmA/nVkxvIGEjMOX7RXIBAcAE4nPP44/M+vprZNGzQ//MT65wfz1gXwf//XessTCAQtxxHLCWmp5ojHW2PEvVXhi+oXbK+g2nxwN8UtSVGNeo1DOzavSLZdis8hr23AR022OLHuNB7y2vwxTt8ZJKQANJE6NJE6r3DTGLRoY/SHJKRg/410XSFc5ALPiYrbv31ydEKid1uWXaz5bQZfPnCn6lp9xpyJPiKS1BzFmcxc1yFsz6KmCEypq6uysObPArYtD1/HuPDb7az+fS/7dhhDHjeVK5+ftJw433pHNV0zBLBzZXnI8bpnH/Zux5hLKH/mWVxu8wD/ND9dejqaaJ+4MC9YeETrp/zXYstv2iBEkiSi4w1ExRow+DXDNkQp2x6DDf8on8vpoq7SF41qylZdIBAcOeoLquHss9VC6sILYc0aNEMG89NPQkgJBMcTR0xMtVRzxOOtMWJ+lbnJ43v3c/xIkF+p3AwbgG8HdKBX+N6xKvJSlBtZLXAxhqDjDWtDWz0fDLJTpnFjVdB4xp0nhZh9cJTu2sHyad+xc8UyZr/1Mo11wVHRuNQ07/a8T9/HblFudi319exatZxVs34+4MeVJImzb78naPyf6d97t0defR0AvcbcjD7mXLSG3iFvri1mO/kbKkM6wzVFuCiSw+6krlp5jsZy3xyXSyZ/QyUWs927joR0X3poz9PactplXeg2JJNLHxrEeWHswkNhXbWSi27vxoDVL2CwKz8fNvfvAVuBIlrizz6bvO++pcPs39Tn7tqtXn91NfULF6rq31oK/yhZuFqusOcWFFDxxpvY3V8qJbjrC+d+toWaUuU511VbVe/j+nlFyAf4vgoEgpZl1gtbKGs/WHHn8/Dkk/D995B+bPTDEwgEB8YREVMt2RzxeGuM6IlMTezftsnjrYlH8D2XkkzbVZVUfrwJe+n+RZ4nMnURBhLcH7W5+NIaG1aV4ahumTqP+iWhU+4Otn9UILbGBr584E4Wf/MZ0194wuvkF8hljz6LVq84y639fSZzPn4HgBkvP8XPzz2OucbnXhcR0/y1dQxhJrFr5XIAeo8Zhz4yEqfdxbLppWgNnZEkTUj3u1/fXs+sN9ezeVFx0LGmBJY9TG+w2kqL14Le//F2rS5n1pvr+fuHHT4x5WdfrtFI9B6ZzZhrepCaHUdOt2Rik8M3VUluo7xW0WZFXDQ8eicJtb5aQ09Knd0tYJInTUKfmYk+4OZFtqo/bwXXTqHwhhupnTEj7GMfLB5hF7jdHHadMY7KN95g58hRgFqIfvXocmRZDrKKr61oZNvy0BF9gUBweLFa4a1zf2PYPafQ0aXUGMsxsUrN1AMPCLc+geA45rCKKdEcsWlsDhe7ypWakLzUGG4a0TFozv4iV0eCbaVKHc3AKl/amCVMSpc/eSkxGIAr/KJSX6IOa9lLgmtiDoa6heH7E7UE4RrmAlz19CsADDj7fOLT0nHafYJx0/y/cNhsFGxcrzonJTuXSx95ptmPr48I3dcLID5V+eKhKuC1DNWXad9OpW5x0+Jg8VnvJ2zHXd9Lfa3yRhx2J44AUWXyi0b5R8IqC5XPTEVBfcjIVCjOuiJ8yu5ZU7rRpmQxfTa+C4Blvfr1tGzfjqO6GkeFEu005PqulfPBB95t6w6fkYrLYsG6VenPZDoMVeB2v8iUZ9tlseCyWpuMhLka1O+bs76euFj1nPoaq1e8RkT70gI3LgwWyQKB4DAjy6wffx+3zBxPAkrGwlr6MuXkDbgmTGzlxQkEgsPNYRVTojlieKwOJ6NfnM9Pa5Sbn3Yp0fxrTGfv8ZFdlXSx1o5MLd9dxfergoWKadZuXPupycneamQu8aT4fcwKcfG53ic2nHWHXhNmLajF1QLXaQpTWXgxldGhE//+diYjr74egPg0dcPV926ZFHTOxf99krR27YPGD4YVs6r54dmVfP/0StV4YJrf/iyhPTfnSZnRdBqQrookFWyq4t3bFvDu7QtUtuT+j+Ev3jzXqi6px2l3odFIxCWHF4SmGTOoumgco+dPZfT8qUHHq6dOotv2r4luDF1HVfna6+wYeqp3X5uQ4N2OHXYquZ9+CkDDihWYpk/Hsn07204K3yutJVDVTBUXU/fXX2zr159tfftRdOttYc/bc+FFqv3tAwdRdesU1dhnDyxh+QwlZTG7m8/dsGxPbZCoFggEhxGzGS67jEFzfW0qpjGBYSxG2zGPMG0ABQLBccRhFVOiOWJ4tpXWUVTjuxHNS4khyqDlgv5tOSk3kQvcaX+tHZl65BefxXjgrfj+olOuBepvyY24aAC+sfsiIKEMIw4U06++dC8pUkfqlF5oEyNIndzzkK/tIVxkauJ9jwaNjb/tbtV+qNoqf1OJ5nL6DWFuwKVEyvYEP0Zgml+DySc4Xc5gYeURQwnpSn3O2Mk9IERmypxPN4d8DFN5o1ewGSt8lt0AcSmRYd0AIdi6vOu2r7zbo/6vmzeCFEhE165hr+mPoV2u77HuvY/Kt98Gv+iQq6FlzRuctbU4a9w9tPR6sNtVAqp+7tyQ0SlZlrHt2RM0HmMuQeNUR3WtZuUuLbtromp81W8HllIoEAgOkpoaOP10+O47AGRJ4r+xL3NlxI+88XEs778PhuByYYFAcJxxWD2CRXPE0PyxqZQbPl+lGstz1xe9fGk/ADaXKDfHrRmZemzGZraW1pGDhieICrqvlhsP7Cu361CEoQkZ1+m5aP4soP7vEuylZlKv633QNumyw3dTmnF7f3TJkWTd13KW8g21JhZ//alqrPvwUYy/9d8h57ft2p07v57Oy5efH/L4Nc+/cVDPtc+YcfQZMw6A7csWM+NlJU1Q0iaGnF+ywxjUDNZDXbUlqAGsMaC2KbNDAre8OYq3bpmnOrexzs6bN83lzBt7qaJRDruLBpON6ARDUFTMI9CaS9t9f9N239/EDB1CxMLOVIeZl3HfvRRMvna/19MF1E7V/TZbtW8ratk00ZL7HwBAm5yMNikJ265dQXMcpaXo26j7jDkrK0NeTyO7GLnoLkof+onNi9XCPiE9mvEjHPy6QPl17nK2vJmGQCAI4J9/4OKLwROBjotD+uILzkg6j4vioW/fpk8XCATHD0fMzU/gI1BIASRE61X77dxOeNVmG6bGQ2+ceqAYG2x89LfyDfl9RNKRYBtxR3X4b/NdIQwLpp7X3btdpvEJbesuE84WMqLQJoQ3MThYlv7wddBY/3HnNHmORhPadl2j1TWrUe/+yO6u1DRJmngkSf3ZGXnl/qM1douTxjr158oTZfJP75NC9I3yMPvdjUGiyVTRQEOtDYdV/f7vr14qHOYlS6n+9LOQxyL79CGyZ3D0Mf0/wQ16JY1GiRCFwVlZibO+ZaLAstNJvbsO1FldjSE3N+S8UA5/+3P9i4sNfj8S0qIwP+5ze7Q3tn47BYHgeGXLFrB//g2cdppPSKWnw6JFcN55DB8uhJRAcKIhxNQRxOmS+WDR7v1PBGIidKTFKcKg4DBFp+w2JwvfWcee//5N2VtrcRgtuFwyT8zczFmvLvLOy/P7mER0SCD2VEUM1C0qpmFdOS6rg9r5hZh+z8eyowbT7D2UvawWjKmTe3LVkDw6pikRuPvnbVcdrwvhLrc/LDtqMP2Rj71IqRFJmdwTSdvyjkm1Fb4eS5c+8gxTXn2frM7NSy/zp9OgIdz49ifoWiDvIzohkWteeB9DvLpZyaUPnUyPYW3QGfb/ox0shJpnFOFPrbvPUUpbxSHBWN7Iur+C2xX4C7RAnHV1YY8FknjJJd7tdp9/hjY+noz77/OO5bz/HsmTrgl5bud5oaN0HuyFB2ZfHg6Hf488vT68mArRYNgzpmuTRcL5wZHNCKsxaCw2ORKty0aPLZ8AULDFxKxHfmXZB4spy69l1ex8rAcYRRYIBMF8963MtD6PoL/6csW+D2DYMFixQigogeAERoipI8iPq4t4YtaWoPFumXEhZvv6NB2uuqlVv+XTIb8Wvd2FvaCOyg838uvGfXyweA/7TKEjRbrUKCI6Jyk7Tpnqr7dR8912amfnUzevkMoPN1I3vwhnjbq+w5AThyRJjO6mpFvttqmjIuZl+3BZm3/DJ8uy8lhzfTfuETmhX8dDxT9dNSUnl8TMrGad176f2uCgTZduB1UrFQ6XKwZJUkfiUrNjkSQJTRMRJQ/+KXqyS6bWm+anTsnL6910k2adQUNWJ8XwobrEzJo/g0VCU2IqMBqTcP55IedF9e9P9Mm+9E1NhPLco/3MamKGDVOiUKHWmZoadg0QWtwcDP7PJ3HCBPTtwkWmgmubPGOxI0aonlf0YMUaP8Ya3JtNNitfJiSYfKmE+WWRrFpp44dnVrLs590s+XFn0HkCgaB5OJ3w4F2NyJddxgOOx3wHpkyBOXMgzBcmAoHgxECIqSPIqvyaoLHz+7Xh48mDQs739GkK1bjXabLiMDaze24IZFlmze/qm0dHRSOFW6voj5aOaPDc/ur8qqUkvQZditqVrXFTcLNcD5poHSnX9EDjTmNMiVVugF3AHaifl6Oq+al+odz7NNHh07gOFJfLSdmeXbhcTuqrlefX9/SziIprfl+zM6feRf8zz/XuJ2Y0T4TtD1mWqSioo7pEef0kjUSbzolc+lDTdWKRMXp6Dm9Dl8GK26C/eUS90YrT4XHdUwu00dd0Z9jFnRlyQUeGTuxEfKr6/U9IiybRXRO1/Z/QfY4Sm6iZMi/+W9nQamnz3LNkPflkyHnZr71K/PizyHz0Udr7WZlHdu1KmxdeoN2XX+y3Fi3vm68xtGuHPjub1FtuIeOhh4gbp9ShHWhjXQ/2khLqFyzAZVM+k/6iLP3e/2Bo1041P6JbN+U8v8dzNTRQN3cuNV98CYAhtx0J559H5qOP0GHGL97oVpwxn9Ov7aG6nmfdkZbg3y8edq0J7YIoEAj2z95l+7jg1RFcimI04ULiP5oXWHWTcJgQCASH2YBCoMYZwpDj4XN6eAVGIL7IlDrNT3a62Pf0PwC0eWwoGkPo+pymKNhcjRSiSeu5q42ciyLi1uLgfhqI8RNT2oQIdEnhLa4DiRnShqjuvshGmt9zXYmT3zR2znIpIshRZcHQJjboGqFwVLZMjVU4lv/0HUu+/5KhF1+J0e3kd9L4CQd0jej4BEb83xTWzFYawsYkJbXI2rYuLWXuZ74IZ9dTMhlzdXfVnJTsWG9PKYDoBAOTnx0GwJo/CthOWYCtubIdlxrsuhcVa6DvGF/fpv5n5KqMLRLSoryRJ/86rOQ2MVSXmJEkxc0vFI6KCipeflm5zrnnknCeEpVKmDgRk5+rZ+yYMejSlHYBSZddGnSdhHPODnn9QKL69aPj72rzCafRSN3vvx9wY11Q+kbtHD0GgPhzzqHtC897xU3yNVejjY1VianYMWNIuvQSCm+4USW69k6arOqdZWiXi6TRkHTZZd59UIRTl9szWfjtdqxmB4kZ0V5RJgX5bQoEgkNm8WI6XH45HVyKSU0dsVzBV2Reey69erfy2gQCwVGBiEwdQUoDUuduPK09yTHhv9XyRKbyK9URHKdfRGp/1uLhHBXXzSkkZj/vfj905LiNJ2RkonqmED04E0nX/I+NLjVKtY5z+6rNFz7S+CJMjqrm21MHzk2+oluzzw2FZ32e/5d8/6X3f7vVgiRpSAhwhGsOWp2OYZddTe/RZ5DV6cDrrEKx/Bd13V2oFLrRV3enXe8Uhl/ahXa9Ujhnqi+f31MTpWq4694OTPELxxnX+YwfdBGakHVW597Wlx7D2nDyuR3QBnxmZFlGlmUa163zjmlTfP2S0u+6k5jThnv3NVEHZ2DRHDxCxb/JbnOcSAFse30CrHbmTNWY3h1N0mdmes0vDLm5XnFlKyjwPk5gE+LAOivPtTxC7bzb+9GuVwpn3tDL+3iSXk/3LWrXSd8TatbTEQgE/rz5JgwfDm63z5r4XEbq/uacd87lvfcgouX9jgQCwTGIEFNHEE/t04/Esph4/m9hFcX3L8a8MnRqlMcufeXeGn5e4zNo8E+HK39tTdgbv3cX7GLQk3PYVRGiiacsE+M2a6h2hLdSfo8YHDj5OXYlr+/6jtfffoOGhuYbYmhj9Kyanc8n9/6NsbwBg07DbaM7eY/vcziJHJkNQO3sfMreWNOs6wamBEb3SWv2mgKpLinm3ZuuZsZLT/P2DVd5Lcf9iU9LQ6s7uDTCwRdcwhk33h62ludQCSWmEtOjOWdqX/qMyuacW/uSlhsXNN9U4esLdaDmE50H+hoT63Qa4lPU5yWkRxGbFMmoq7oxcHye6pgsyxRMvpa9V/0fjgpfDZDkly6jS00l9733fMciDl8qjb+4ASj+z3/Yfc65uPbzOa/59jv2nD8haNzujnAZcpXrSjodhrZt3Y+Vq9iha7XIFguO8gpkW3DKqj4nR7XvWaPdLZzS28Vzzq19iZONVLzyKgAxw4eTVfYP3bZ9GXQ9a4PD2+RXIBDsB4sF7rwTbr3VNzZkCPGbl/PRyj7ceCMcZCcPgUBwHCLE1BHC6nBSYmwkCYmMgJe95ocdIc/JTfFFCe74dq13OzAa5aoNbYX8y7oSKuutLNgWXLTudMjEuk0KzC4ot4cXVGUaE1UOpe+V0WhkzZo1JJ7bIex8AH3bWLRJERjy4tn+TxkNtTYKNyvdgq4c3I6EKJ8wqfZznrMX1Ye0VQ/EPzLlcRc8WP7+9nPMxhq2L/+bxloT25ctDprTEnbmLUaAeG6qHikU8W4xZW1weBu/mgJ6TDWHvmNz0Edq6T+uHVq9+jM96qrwkUJHaSkNy5bRuGoV5iVLvOOelDZ/kidPRhMTQ+r11zd7XQeKJwrkKCvDWV9P7S8zsO3aRf2i4M+BP6WPPBI05jQasRUopij+jYJjx4xGEx1N9ODBSHo9ere4shfsxVasdrI05OV5zTW8Y25x5TSZcBqN3vHKt9/2bscMOxWAtIo1GKwmAlk5K7/J5yMQnOg0NMDWPwrgpJPglVd8B+67DxYtQts2U5j2CQSCIISYOgLYyxv457VV5MgaOmhD1zfZioOjR/6Cw4PL5sT4i7oBaCjjBlmWvQ1/QxlYmCoaiXGLKaPLxTJzeAHTiFqs/fnnn7w89yMMk32CSp8VQ9snh3n/pd/aj8y7ByHpNF6XOM8Ne2ZCJKseGku/nEQA9snqx679PT/sWjx4xFTKVd1JPLfjfueHw2ZpDCmeAmkp84j9sfDb7bx501xKdhpDHpddMhaz2vUw/gAEEIDeoCUmUblZN7od/UL1mNofwy7qzHUvDg8Sc5JGom0XX32Y7HRS+vgTGKf9DOAVGwD1bvOJjPvvQ5+RQSAZ9/6HLsuXYcjLa/a6DhRtYiKaBMWNsGHZMu948b/+xfZThuAI00g3FNtPGYLstkz2b8ibcc89dPlnORHt2wM+Abf3/65m91njlbFOHem6bi0dfvs16Lqa6GhvzZit0Pf6uep8vzeieijGFHpHI0OXPRRyfcXbwptUCAQnMkVFcN2ANcScNVxpJgVKHt8bb8DTT0OYv90CgUAgxNQRoH5pCe3LrUzEQJozdG5AxbvrQ47r/CyuXS6Z+r+D+zGFqjWqMtuod1uNBxpY2G1OzEYrMe6/DTanUlJhC2FIAVArBac7OZ1Ofl3yh2+dqVFIWsn3T1L+N5tsONxRL3/DA51WQ/tUJY1xh1Mtpur/LmmyZkWWZa+A1B1gVCaQlTOmNWtec+3QDwWzycqGeUpu/rQXVoec43Hd8yci6sB9ZLypfuVKqp/HJv1Ao1z+ZhVdB2cCcPK57dVrnj+fmi+/ZN/99wNqS3C5UflMGDqEj3RKusPvk+MRN/ULF6nGnUYjZc89FzTfZd2/k2bguv33PZEpf7Rx8WgiIsI6Enos1v2NK/xTBA3t2yO5a7M0sousfX8HXePnl5uXRisQnEj8s1zmxV4f89HWIeS4lJ8vZ8fOsHo1TJ3ayqsTCARHO0JMHWYabA7ydyrpbdloyA7zksthUtuW3D8agBjg51eWUxuih0/dwiKMM3fjavA5qflHoxrLzayYvYvNxSa2/7Cdnx9eShu9RKrbFMDkFlHz6hzc4TJzEXVo4w2YsbJdW8Jq/Z6Qa8vfuxdHlHLj54zSsWNlWZAI8u9l5G94ANDOnca4s66R9Nv7q4656mw0rK/AXtFA3cIiKj/eiDVfSV1yme3IVidIoEtuvrOgqbyM3995ldJdvrTK6uLgBrMe9BG+ax+JNL/aiqYNOMwmKytmhX4vDhSvCUVFIw21Nhw2V5Ouex5kl4uqjz+h8r33ke3qXmEjruzK+Xf0o/8ZavMEu18T24Y1a1SW4B7CNbY9UnjF1OJFQccsGzcFjdndBekHi0f0qAebLsLw1GBVvfsOBTfcgOmXX7C7UwTT77kHbUICnRbMJ+PBB8n78Qe67PiefmtfZfjiew5prQLBcU1NDY4LL+Vl07VEonxJspGe3NZnIfTosZ+TBQKBQFijH3ae+nUL51Q0gltIRcYaoD58fVIg6XHKze3dRHFyufrmNWZIFual+3BUNFJfUYyjspHUSYrLWn6lT7g8bdQSMb+E3+bkc5bWwBCAGN9bv0HjIM+pwyJDuVOmbftEYrpm8e38BRg1TRfhL7Hs4DQ68c+iEvY2FqLVaujQ32cGobLfrmzE5ZK9DWU9Bhv5VWYMbWKJ7J6MZYsiPOsWFVO/SB2Fs2yroe0Tp3qjUtqEiANyFvzgtikAbJz3J3d9MwNJkpBd4d+LrkNPY+M8JfqWdAQiU6YAMeVyulSRnxmvraMqIB10f+InHD4TigZvil9cSmSQ617QGqdNo/zZZwGQDHpSJk3yHtMbtGR3Sw46x99kYu/lVxB3xhlBc/xT4loDT32To2Rf8MEQn5HABr/Rp5yiShGM7N20Z3Jkt2Bnx+gBA0LM9FujW/BZd+zEumMnZr8oWtxYxZ5dl5xM8v9dhSzL6GOjSDZuD7qO0+4KqnETCE5I9uyBkSMZWuz7ef6Uq3mp41t893RMKy5MIBAcS4i/qC2A3enC2BDaBOLrZQVkuvs0ZSLRL1qpVYkblUPcyBySr/T1B3I1OpQUthoLLqu6LuZ01N9kSzlxRHZW9y2ybK32bm/eVYUESECE+/HP0gY7otUhMzPKJ9K6xkby+uX9iRueHSSkMkLUtOzS7UPql0ZRoxJZWzNvNzarHUu9HZdLpnS3rxDe5ZAxu23dnXYXbd228KsLjLhcMkkTO3vnBgop73PcVUNDkfI8PbbrzSFQNBlLS2isr6OuWqmHiYyJJTIunu7DR6GPiOScO+4jKct9gy9JJKRnNvuxDpZAMWUs8+3LsqwSUp0HZdD/jFzOu71fs6/vslhw1ivXSHA33jWVN3qjh/url3LZbBh/9PV+qnrnXVyW/ff7CoxEWXfuDJoTMlJzBNE3ERmTHY6gscb1Pkv3zMf+R9uXX1Idz371lSYfL2HCBOLHn6UaS735pibP8Te0UKHVBolRSZJU0b5BK5/2btceQAsCgeC4paICxo8H9+8nZ0ISk2J/4PMxnzLvnxi6tkwnC4FAcAIgIlMtwLWfrOCfPdUs/M8oMuLVkYJMJHRuMaNFQnZHAaL7pqHPVL75MsbqcdXbcVQ1YtlaTe1fyi/3to8PRdJryYiPgNqAxyzcx6P1qagNlBW2rC3lmtUmUogkmaZTh2pw0aiBLsOz2L5oH5P75NAmMQpXiG/jJ0+ezDPPqG3DXZKTyrQYnIBLY2ODcTFbH11KsqkvMUkR1AWYY5jKG4hLjuSnF1ZRU9ZAhAGsDhcP/ryRpyf2JuaULMzLQkQH3FR9vBmny4FWo6PWUklzDdF/f+dV1f5Hd9yIzhCBw6aIu4sffor0PHXdzvblSs1JXHIquiPQ5T4wDfLrx5Yz9R0lzXPlr/mqY5kd4ukzKtS7HxpZlsm/+BIclZV0+utPbN99DAzGVFqP0Ws+0XS91N4rrsSycaN332k0sq1ff7pt2Ry2zgeCozi23UefRbcnhS4U9pISZJvNa91u27uXqnfeBSDlxhtJuuQSQImu2UtKvNtNIel0tH3pJWp//Q2AmKFD0UQ3/fqHE3ya2NiQYtSQm+t9v+Lqi4itK6Q+LgdTeSNJmeJbd8EJTH09nHUWbN2q7HfsiHbePO4z59Cxo7ctnEAgEDQLEZk6RFwumUU7KrE6XMxYVxJ0PFyNlNav1kfn7tHjqLJ4hRSAvVS5uX7nypOCzi/GxX/nB1uqyw4XxbN2oUHiPAwMo+m/Cp4Kp/SsWMAXHamtVau3xMREIiMjOe2004jVpaJ1KOuXZB0Fm6oAsEZUgsaFPcKI0+VSCSlP+pipohG71Un53jrsFic5DmX863+U561L2n/amlajfAewZV1wfUs4Ni2YEzTmEVIAiRnBkafcXn3J6tyV/mee0+zHORQCI1MA1kYlKvLPDHWtVHOb63pwGo1Yd+zAWVODddcuNGsUB0NLo4uKvcp73VSPKZfZrBJSqmtXV4ccB0XE2ULUSCFJXoe+tv4WxK1EYNQndvRoYk4brggol0tlX17z1de+8/wETttXXyGiWzdyPvig2Y/b9uWXiOjenYyHQrvvqdYYRky5TME26ADalBTVfnSjkm7p/zmTw5jOCATHI6WlIO8rhfPOg1WrlME2beDPPyEnh27dhJASCAQHjhBTh0hprU8wPDFrC1aHku5mL2+g5JVVXEVwi3RNrB6NwWezqnPXvdQvUYsxR7WFyk82kfZ2cAF8PWAPEQxw1Ow/7cqfGEcDyLLXxc2T8vX555+r5p3aYxCvXTOF2DoNWfaBJFQrzTZcGisbSxdRF78NWfJFsyozF2HX1Xn3szop1tPzv9xGRYFPqEXJvicxY10JrgNohFjvqGHfzm3e/Yq9e/js3tvZuXK5at6WRfOavE50QiKGqGBxEhkTyxVPvMig8y5s/qIOElmWvREifz64c2FIO+v41AOrlfJPtbPu3IVcnI/OrpiUFG5Rrt9Ump+/HXcgO04dxpZu3bEXF7Pnkkup/uwz5XF27GDnqNG46uqCzBW08fF0nP0b3bduIf7McQf0XA4H2mR1rVf266+R+957GNxW5upURZ8A0Sb5Um2jevemw8/TiHX3e2oO8WedRYdpPxHRof1+52rj4kIfCHf35/eSR3TvTpRbTC3+fgeNdTYKt1Tz1i3zePOmuVQWhWjsLRAcRyxZAiN7lFPTezjMc/9NSEhQhFT7/f/8CQQCQTiEmDpE8gN6OM3bqtywGH/eiau0gf4hMild9WojCU9kyrZXHQ1qWFehqoMCcCAzD+V8WQZr1yScyDjdN3iOKgsaZ/O/bd5Y8SuT+yaqrLKtVitVVVXeOYmJifzz41/YLWX8/f0Maisb0bgMIGtAAquhCkt0GQ59neratYlbvNvtevm+Jf/7B1/NzGlZid7t275eQ2mYtadc1T1orN5ew8xXnvXuz37rFSrydzP9+cdV835940XvdlxqcGLg0dCQ12p2YHNHoc64rqfqWKCddWxSxAH3lvKPDpmXLgWXC4denerVVLQrMFUvFLsvmIhl/XrKnlLqc/Y99F8cbic/XWYm6ffe65u8H+e6I40kSV7TCH27XCR3TxlPNMj/+TsqfT8b0YMGHsFVQtyZZ4JOR86HvuhX2+eDrdsBkq+8EnQ64saNw9CunVdMAaz5o4BfXl3r3Y+MERnfguOX77+H60btZEbNqSRXuf/+ZGbCjBnCsU8gEBwy4i/oIbI3oIfT8j1VrCsycklFgzrBLkILVrf9uc59I1n4D2z/HV3SlJDXtu4JTt85j3rMbuFUUN3A6dV7iUPiHiIZiZ6qTzbRJcS1SpMjyaxWolZXyvVkuXYyoH4jGksxsdOfYUHJUJBOxmGH3z5Z6T1Pi8R5o05n+kqlRkR2GXE5ZbQ6DUmJSdSYfDeWrlgT+Dm8u3QWGqNKuPi6s3DafFGr8r0+0dU7MQaq3deQYenvBbRvNNIxKhGAou5FnHzZxWgidCzTzuYU55nec+sdRpwVDvauX0vBxrVUFPhS4b5//AEa6+qYeN+jqtfh+jc+4qXLzlWNHQmnvnDkb6ikusRMm86JgCKUOg/MYOvSfRRsCk6fu/6V0wDQapv+HsRRU0PhTTdhWRfcv8y8OHST4vi08NEu/95QAF1XraToX3eoruXySw0t+tcdNK7zmTQYcnNJnnSN1wnwaCTv66+wFxer6p086X9lTz+NLjWF+PHjvcI068knw0eLDhNtX3geZ10duqQkOi9dgmyzo89IDznX0K4dnRctRBsXR8VrrxO1zBehbaxTG+bEJARH0AWC44GdO+H1y/5mgWsCaSiGQ0W0pfztJZw0vHVbMggEguMDEZk6RAIjUx//nc/b83dRUadu6hk72HfDHnuK+2btw9Nh0QvoSn8NeW25Ue0itiVWQy2yv17BBZiQKSa8xXe9U2bbXl8aT6HkoFtMFeaMLFx6pah+54ol6LRKJGn3Zl8PHW1FEdOeuhfZaVTW5DIiyzIuh0xaRqrqcezOYEfD+oSd6GLtJLcJXfBuqmjE4BYGbZ0azEYrBcbZ3uN///ol1eXFVBUXsnfnOtW5Tll5fX548iH+mf6DyrGvYON6KvbuYearvpv3iOgYJEmi16jTVddJzGg9MTXrzfUsnbaLzYuVFE9PhDCzQ0LQ3LTcOAyROgyR+/8OpOzxJ0IKKQBnjZLWl100XzWu02tDzFbwT3PTREejiYkhZsiQsPPrfv9dta/PboskSUQNVOy/Ey++uMn1twaSToehXTuVmYPX9EGWKb7r38h2u1dMRfbq1Spr1LlTC3VJSWGFlAddUpL7eeUS3VDuHXcENH6WNEdXpFAgaBFkmU7fPcV8RniF1EZ68tCoJXQZK4SUQCBoGYSYOkT2VobuwxT4HX/sKVkkXtCJuNE5xJ/RTsnRc6MzrVDNTbqwM6EYeHP/oDFJa0aftBSTxhziDKiR6pnfWIfRKbO83sEXDVbi8NVVOWJ9N+0aqRLZVYdDKvOOGaqUNC3Z5Y6SyFaQlfNTU9UF7h4SotQiy+Iwk5gRTZeTg63VKwvr+fKs3iBDZ7sGl7OGcste/i6bxq9F77vnFLP2j4UAzCp8j0LrNsp6VwRdKxTFWzd7t6954U0ARl1zPcOvmOQdD5X650+91cGSXZU4D7FY39rooHh7jbfo32L2pXtuWaI4GHrEVGwII479WZd7sGzfTu2voQW6Px13T6fd3t9om+FkwgXRmJctC2rEC9CwejXG739Q1jVqFO2n/wyAPju7WesBvE542a+9RptnnyF16i3NPrc1CXT5q5sz12v4YMhp/vNvbQy5uUTYTOSYVgOwc6VPWF3ywKDWWpZAcPhwOGDKFHjwQTQu5SvIuYzio8mL+eCPXGJjW3l9AoHguEGIqUPEE5m6YrDvW64oIDngpdUmRhA7OIuEM/IU84lGn6mARqs2jYjsESxSJIOGpJRobxTHQ0zH54nMnI4pa1rQOVbs/BixnNLUFcjIlDpkirTQ0e6LPFkz2yFLyjX1ERJW00fYZcXUwVBRgiQHCwjZZSQ1J5bkgKJ9D7fffbNqv8YdCek9MvTN5z9fbOdcQwyDrHpstR8DUNSwnTq7IuCW/LCMtbMVB7V6Rw26UUn0v/z8kNcKR0aHzsSlKCLPEBWtMpWITQotCj0889sWrnh/OTPXB7s1HgiLvtnOzy+tIX+jktZYWxlsOJHgNgKJTQpOu2qOmHLWm9lzXvNeG63LRsc9M+n67e3U/msyBZMmU/n++6o51t172HvFld791JtuxJCjWLLrs5rfe8sjSnTJySScfz6ayINrNnykCXT5K77jDgB06en7tTI/mtC7X/+snX8EHUvLPbKpigLBYcdkgnPPhY8/9g65Hvwvxm//4MUPE9GJAgeBQNCCCDHlhyzLuGw2ZKczqMkrgMPpwuF0qeZ7aqZGdPFFN9oGvKzR4/KC0miclX6NS2v2kKRT+iAlDyxGE63+Ta9NjiTthj4AfH/TECb0a6P0ngIktxBbHLeGtZIFFy5kZFy42Ob01Sa5tEra4ZkD29BXX6W6vsugXMtuqQKc3n2NLbQzoOw0Mu66XmHFlFarTherqKjA5XI1ab3drcKFLDtDHjOWblbt9zvzHDQabVC6XlMkBtRFSZLE6TfcxklnnUdurz5NnruhWKkF2lhsCvoMhMPldCEHCNHyAuX98FiR15QGRzU9gim7axJ9RqvFZyjTCVmWVU1lbXua7uGk2c/XsZWvv6Hab1ihjpr69zqK7N2b5GuvJeWGG8JeL6JzZxIunEjSFZc3+bhHK7oQjaohvE350YouPQ0pMpIoc9n+JwsExzIbN8KgQTDbnS6u18Nbb6F54jEmXqI72rxvBALBcYAQU37sGH4a2/r0ZWvPXuRffIlKUBXVNNDpwd/o9OBvLNutiJGKOiuNdidajcTQjr7ohqe31AYcZD8znOSA5qqLFi3i6U9/oxj3jdq+dcTo/iQ78hyiM0qCGqCm39IXQ7by7XHfnEReuaw/3TLjQfLVZbkkF/fHL+TLiEV8GDmXjyLn8U+MzwXOqXU3Zo11IQfU3Jx6jXIzXFuhGDi4DErUQGNT1315GDg+icSMaJL8bKGbYvny5TzxxBNE+InEYZeoUxmd9kKsxlcDTwVAdpZ6t+NS+6F3i70RVwUbd2T3CF3HEspkos+YcYyadAOSpukfg73u6OO0NcXez0B+Zei0SgCbxcHnDy1l1lu+miXZJVPr7u9jqmjE2ujgr483B50bk+gWyRqJ4ZeorUQio4MtsEvu+Q87RozEUVND1cefkH/xJarjXf5ZTurtt3n3I7qEsicJj6te7dCoTUz0bkuSRMZ/7iHtjn95x7Keesq7HT1wIB1m/EKbJ59EE3FsGhyE+2zo2x1bYkqSJAy5uWhdwXWN+/77cCusSCBoWbZvh2vH7MU1ajTscPdgTE5WrM9vvrnpkwUCgeAQEGLKjdNkwllZ6d23bNrktXUG+HCxzynu/p82ALDHfUPdNjGKuEjfja5HTCW3DZ0+M2fOHBxOmd8ZEXywRnmchLOUvhfahAg0McE30Q+e3Z3kRPWNbnddNVbJETQXFDEVlxxJrTa4X5DN72MgSxKy25RCsocWU8Yyd31PQgJtMrMxOH11VxMnTgRgwoQJqnNcLhf19fX0HtGW+NRIug7OZNRV3bzHHQ1qwwIASZsaNGa1neRtZBsZIsqiN0TQb9w5xKdlEBHtM704WPtzY4MNY4NSR1RZ77sRfXv+rrDnFG6ppr7Gyt4NVTjtiiCvN1pxuov+TRWN5K8LXfMVmHJ11o29vds5PdSRQFmWqZ05E2dVFbWzfg1yyjN07Ig2Pp6kSy9F1yaL5EmTvBEVyWAg95OP2R+2At/nJf7cc4OEPiiCI/HiizC0a0fcGaeT8d+H0KakkPHgA/u9/rGAv1j0EFhLdSzgSVlsW7zQO9Znw9sYv/++tZYkELQIK1fCpMFbuHvuWWgq3b9b+/dXDowI8XdWIBAIWhCROezG/6bRw66zz0F+5mWeK4mi2uy7kd5Taea05+ZRUK2kabVL8dVOxCNxk9t+onv3po0NCmiLmUhi/AwhqFbEVNyIbGJPaxvy5hWgS0YcaR2/osQdIOlZOoz+FSfRGBu6uWp9wk7q2UnRUivolShBalIilTVG6sy+KIvLfQynA8mpFmY6vQGH3YaxVKkd0mg0XH/jFGRZ9q7T83+/fv3Izs7mjTd8aWM///wzV199tXd+h37x/P7267gcatODpM69aagYC3IdVpOvn46ka4tGm0jNPjPr5haS3TV0ZGzMtTcxevKN/PjUw+xdr0TnEjOymLV+H9PXFvPCJX2JjwwWqEU1DTwyfRNThrVnaCdFyAVa33vwNGcORJZl/njf12S5tqqRpMwYTBW++ihTeSM2S/D5Z93YG61O/f1Gh/5p3PL2KADMfy+h9IsvyPzfo8iNjRTf9W/vvLInnlCdlzp1Kmm33QqALiWFTnPmIEkSlW+/DYA+N4eYU04J9QTY0k3p6SUZDER06gQoEafEiReEfM4AWY8/7n1fk6+8kqQrrgj72T3WSL3pJlJuvJF9992Pafp0ILiW6ljAk6LZdce3dNnxLeDr6+usqzviNu8CQUuwYAH8e/xm5jacQjzKF4wl0Z1In/0XuvTQqegCgUDQkojIlJvAPjoAcmMj/Osm5m2rYF2RuueTR0gB5KUoEZArBudyLb50Jl1qcI1LY6PadGA+AfbS1b6al6ZuRkvNpZSYfYYIw/dcjKwJTuEJxKb3ra9HT6VZoccgAtQpfhKg0bVD0im1O8OvnAyAsXSfao0ajQZJkoLWG5gGuHv3bux2u3fesmnfBgkpgIWlTmWOpL6500UoDVJXzNzDzpXlzP9yGz2Gj1LN6X/Wed51+VueJ2ZmMfWr1fyxuSxsVOnh6ZuYs7WcKz5Y7h0LtL730GALLabK99bh8nP984goU7nv82Ix26koqAs6N6NDfMhrel7bwuuuo37+fMqefoaS++7Hsjk4TdCDIU8dOfG85pF9lPqwqD59AUhzGyqEQrbZvI8ReL1w6wy1fTwgSZLqNTjWaqZAHU2T8AkpUDd1FgiOJTqb1zLLMsYrpHbQidvaz6ROL4SUQCA4MggxhRJNKH/xxbDHL9oxjy41wTcb7dHwETGct9eCs97GI2f34CIM3uPOOC3Lly9n8eLFFBYqESN/4QJQ1WYMXPoFXPihMlBbDHblBnzHijI+f2gJy6bv8tppeyisKyShMY2epcMwOBTR5tQFu8OFI6KskE6duwJQXV2NrNHSmJWHJUeJRBQkV/PPmWBLPg1D7AT6n3MfvUaNBaCxrhaLuT7stT1otVruuusu1Zj/8/cXZf64JC3XvjCMDufnqcY1+g4AlOwwesdGXnMLPUf/m4jE20hsO4X2/QZ4j3lMJ/SRUbywsNg7/vb8XXy0eA9bS2v5+O891FoUQbd1n6/pbFmtEi0MF5nyF9Pe51PewA/PrFSNLf9FEcf+kSnwWaH3HpXNtc8P46rHT2l241TLzh2YN21ock64m/2YoUNp//M0Mv/7EAAp119H+59+pP0v05u+XrtjL62tpdEm+W7O9MeimApj5Z50xeVEtG9/hFfTuixcuJBzzz2XNm3aIEkSP//8s+r4pEmTvF9ieP6deeaZoS8maD0WLKDNpDPIcCkp+Wvox79HruaTpV1pZkmvQCAQHDJCTAF1f/2FoyT0jT3AlE2zeHXBa0HjnxNLF7Rk7Wuk+pttONar62AWbFjCb7/9xl9//cWHHypiqbq6Wn0RQwx0Pxd6XQiR7tqjmnwaam388eEmaistrPptL9tXqF24CusKuWj9PQzfczEXVSo9e5za0O57odCaa0lJVVLZTCYTup4n4Uj01SjVRdTTv+cwaqKrkCQDOd06Y4iMIiZR+QsVTggFEh8fz+DBg737/s9flkO74pVFpBMRreeWhVuRJUUoaiMGeqMdDrvvPLPJgd2WjCTpsTQk4PCLGKVkKze8zvg0Pl6ijjw+NnMzZ76yiP/N2MzjM4IjPNd9qoiicJGpvVUNQW59Xz68LGheZWE9xdtrMJWHFrp5vVOIijOQkNa0zbZs80UdqxurcLhCR8Y8hLvZlySJyG7d0EQpr6uk1RLZoweRXbqgaxO+ebE2jHPjiUREp47ebe0x2KRGH6bOK2HihceUzXtLYDab6du3L2+++WbYOWeeeSb79u3z/vv666+P4AoFTWK3w4MPwqhRUKH83a3rPogPLv2L72fHITJWBQLBkUSIKaB2ltLg1AVUTTiPDemhbzq6Ve9Vmu3KMm3q1cLJutOI2U/wRA/IYP1mdfSgrq6OXVvWqcaMtfVUV1dTWVWFK0mJvDgrd7Ft8y5cku8GetuyfRTtrGTz+u1s27KT3Vv3onMpdT9xe3Kw6U24tMr8KHM20fU5dOjWhW0Rq0M+l8sfeIzo6Ggi3C5rRodaGKQkpjAmdwxL8qaxpfMCOvRX6r880R5P3VRzGD16tHfbI6ZcLieFG31udxqdntS+p7MoeSjbYjqzrUxJ2ZieeQFS3ljOv/fGkP1wVi/YQWWJLwXT5Ne7SZPdlaFXXMvvCcOaXN/3q4qQZRmbn+X5hmLlmv6RKZ3LQZa5kijZQYfSnZSXVgddKxSVhfWYKpTrRMcbVMeaElGyLLPHtAeX7MKydat33GEyYmhCS7V9+SV0B/G1bLvPPgt77HhL2zsYogcOJPPRR8n97NPWXspBYchuS8Z/HyJq4ACVVb0hN6eJs45PzjrrLJ544gkuuCB8HWBERASZmZnef811LxUcZmw2OOcceOop5e8xwMiRxM2bwZvfpHCMGocKBIJjmBPegMJWUECdux/F5rapFOzZBFk6elRIaAMiDy8vfJ1X+l2MMSKW/635AcarUwNte31pYnHD2yLtVN+AvuiXStiPTaylJ9XV1bz2mhL1Gp3ej9NYw4zFG1hbshIyILV0GBIaCrfUsLpGnYplTdpEYk1vLFH7qE/w9a2KrVNE2dWXjWbdK79ACFO+HLfJQHJyMvv2BUeZRnQYQU5cDjXRpfwd8wsuzUNo0ZCY0YbirZubHZkC5aZk+PDhLFq0yCumFn/9GXarEkmb9OLbpGQrN3RvPvkX1FlZuF0Rq4WRCbxGAptXFvHUlV35/mlfGp1dV8+SHQuJcKUSj1L/ZSpvJKVNLDvK6jj95YVIUgSyvP+/rl//U6hy6/PgsUXvnB7LhbPeZkSxTwxXj3qTjK1bALyufR5ikyKor1FeeGuD3RuZyu2ZzNalflbvyeHX9t2273hi+RPcM/AeBl3ytHc8qYkMy6h+/Yg/66zwE5rAkO1LA9NlZeEI8bk40Um67NLWXsIhkXzllSRfeSXGn6YBSqRFGx+6Vu9EZ/78+aSnp5OUlMTo0aN54oknSEkJ3+DbarVitfp+2dbW1oadKzhwZBl2Ly6h470XwdKlyqBOB48/DvfcAwH9DQUCgeBIccJHpmp/91lyF6T6LL6X5YXux/OvjdO4bscfSLFNOPVJoMuIDkoD86c9BUioj88tTwRgbYnvD7IndU8mOCXOHqHUH/kLKQ8jr1TqoUbEnkxEST7aehOGSuXmeMSpp3rnhWq864pwcf6Q80mPTidCG4FDdlBarwgAb2Sq7MButD2P4xFTK3750XssId3XGNVj5rFguzry99eWcuIDDD0ceuVmxW7w3bR4apN+WqPUSDXxFqh4YFpwDVJZrcUrsN6+aoBKSHlwuW+eaqvUaXwX3TfQu12y04TD7kLSSGR3873e7XqnoNGG/xFcW7EWgK35K8LOMZw6hJSbb0ITH0/UgAGqPk8HQ/bbbxE9eDDtPv+MyF5Kz67mWKgLji3izx5P7KhRZNx/X2sv5ajkzDPP5LPPPmPOnDk8++yzLFiwgLPOOgunM3xI+OmnnyYhIcH7LyfnxIv4HS5kGV698h9iT+vvE1IREfDrr3DffUJICQSCVuWEj0zJdjs2rYa/eqkLsE3xDu4aPYWX5iq1Tlvz8ujR/QY0u/8me9uvxEx4FwBDhwRsu9VOf6mTe2G327HZwrvrJVJHlF6iIcDM7lHuVO3XpK0iobo3puT1hEImWC1MfceXVueqMWMwVVLvKiG5zkBERTGR14/zHg8UU9PaTWPdZJ9oyInLYadxJwV1BeTE53jF1KYFc+g95kzadu0e9jn643mc3bt389ZbbyFrtEjuup8Vq1bx+++/k5WVRbuUU/gnv5olu6qCrnH9B3/SMfMfACIa09C4lJQ5l9aGjBMJrVdMuUKoqN/+NZzdFWamfhU69RGgb3YC28rqsNhdjHphPgB5kQaWvrqe2pHq+oreG9+jQ1ER+ZUx3ga8KW1juOy/So3YmTf0YvZ7G9m30wgoUaj4lEjv+WMn9VBd77tt3/H4ssfJjs3m14m/Ulqxh+c+dJBX/lfY9d59Xg3Tzv8X6f8K7oV0MMSNGkXcKMUhsf0Pov/Q8YomIoKct99q7WUctVx22WXe7d69e9OnTx86duzI/PnzGTNmTMhz7r//fpXhTm1trRBULYDTCS9c8Dc3zzjL69hnzcwlYsaPMHDgfs4WCASCw88JH5myFxezNyUh5LGxVfNZmJeDC4jJG0VMRCpR3c9HE5fpnSPpZbR+N8gAhnbxQa59gbShFKTmfJsmhxVSAC6tBVy+tzGwBqBmn1LbtKGjCaveSUF6A/+a77vx9hdTDdoG/nvqf1Xn58QpNwMFdYqbYZJf89tfX3+hGesPfpzy8nLsCcp+x4GD+d0dHdy3bx858eFfk7Qqn8izRlXg1PqiQU6dEsHzWJCXmoLNODqmxTK8SyqpsYagYx50Wg0Wd8qex/58mFVPbVXw9Tb0ugHb3gKvkAJwOX0iLiE9SjWWkB5NWm4csckRpOfFExnQjPnxZY8DUFRfRHlDOZlLd5FXHnapfDFKw07jTuyuYHt5gUDQcnTo0IHU1FR27gzOAvAQERFBfHy86p/g0PnhwTXcNGO8V0jNZwS9LKswdhJCSiAQHB2c8GKqdPs6dmSFdyp7YVR/Pps0lB6Jvn5QMWP+592WGxrIuP0kAKqkOv7pXILZ1sDMmTMBaNOmDQ8++CB5eXnecy5jOnqcoDm41ISUsiFoHEqtTWN0MWiUm/877riDvn37eue5XE5M7nS8ikQb340uZu6AChodjTyy5BFkWSY+0fcHv15fz0VdLlI9Vm6c4gr31PKnsDgs3sgUQG2F2mGwKWID3M9kjRZZo6UsPl01bnCq0+XeuvIkshIUsRqvURd/SQk+pz1LVCkVmQvZW7mFW79azfS1aoOML6YMpmynkbXTdjP/zhFh16kJ8FnQypBVE9p1EGDr/U+r9v3T9gLTEhPSotAZtFz1vyFc+J8BNMX/lv4PuSHYfj3f7+X65RTlsT7eKNLwBILDSVFREVVVVWRlhXe8FBwGFi3ikndGkYCSyv0Hp3OO5jf+92YqiYmtuzSBQCDwcMKLqaLy0iaP67VGbjNOCntcE21CE6GIonW6vawv3MKiRYu8faViYmLQ6/Wkp/lqrNJRUthOOfnAv1mLNGehkfXoHIo4aYzxiYaEBHWErb66CqfDgaTVYo504NTK3k6dP+34iS3VW7BH+KIaCYnBEbrceJ/F9hdbviAiOsa7r9Xrg+aHI9ANTtbpsSVnBJlf5MWq0/O6ZcbRLVNx8bPL6o+rf7F3Y4xSI1Wt287v64oJpHNGLL+8spYNC4rZuqCESwcqEberh6idGy8ekMP1w30pnydZm86EXd3rVtV+z+G+yJ0hUqdy70tIc9u86zVoAlSb2a62YF9UvIjUWvVr8eNQib/6Ka/BFr+WQa+veb3JNQoEAjX19fWsXbuWtWvXArBnzx7Wrl1LQUEB9fX13HPPPSxbtoz8/HzmzJnD+eefT6dOnRg3blzTFxa0HPPmwbhxSCYljX5L8lAu1U/jix+juOKKVl6bQCAQ+HFUiKk333yTvLw8IiMjGTx4MP/8888RedzlazazdMy1lPSbAIA50sG8/mrjg/HFhWHPt9UV4arfBUDm3QNpSFNufnfs2OGd4xERetlXP+X5lu3UEWO4/PLLuSLgL0NUfQ4n6dPR6dRvT3FkudepT+tUpxb6PxZAQ62JFb/8BEBieiafnv0ZTw9XR1HuXXgvW8xbcEgOAMZ2Hxt0TU+aH8Crq19lt2k3F96vROYkJGRX+KhNUzjiErElpweNR8mNDMuJIEuj/AHNToqmXUoMINNcc+4uLjt5dg3I0MGuIc4lEeu3zOqSeh45rwcfXD2Qm/rl8s0F/Zk0NI8XLu7LRQOy+fcZinlHklOivzU4etimZLHveeh9EbdR/9eNnqe1Vc31pPop2+Ft0Avrgj9nmQGZoj+equHP/hIr/n0Gw76YpTq2qWpT2GsLBAI1K1eupH///vTv3x+Au+66i/79+/Pwww+j1WpZv3495513Hl26dGHKlCkMGDCARYsWeVtJCA4zCxYo9ueN7kyFcePouON3Zi+KYcKEVl2ZQCAQBNHqYurbb7/lrrvu4pFHHmH16tX07duXcePGUV7eRLFIC7F6/SY+Hj6UP/oqf1AX966iLFldG9OjMnxaxzrLBqwF+QBoUyKpMSsCwL9eypMWkhrhE1Nat2mEVqula9eudOnShTR35EpniyfHouWLxNfRFBeoHm9ZxmIklJt7rUOdQmYwqOuApj37P9b+rqQaJmZm0T+9P2e3P1s1J782n4eXPEy9XvHabpPehkCyY7NV++f/fD65vfuh0Wpx2G3U1zSv1xJA+/a+iI+sjwBtcNSnurqaThWLGWfYTrJkxqDTkJcSTTR2dJILlyzhTG4fdJ4/Y2xOLjZHMMyi40JzBP9XF8G3T/oc8WQZog06xnRPZ9rTK1n18Vb+PawjFw3IRqORiNRr6dU2nuvqIkkIiIZlF82n2/bQzTt7nNomKOLkiUYFbgdSUFsQNJZR44tMbW0LDp2ErJE444r7Sc/swIAMX6rgZTMvCzpfIBCEZuTIkciyHPTvk08+ISoqit9//53y8nJsNhv5+fm89957ZGRk7P/CgkNn0SI4+2zwpDmfcw788guG5Fj8+r8LBALBUUOri6mXXnqJ66+/nsmTJ9OjRw/eeecdoqOj+eijjw77Y/doq6SsVURpsRsi2ZdqwRLhYm03n5NcosH3B7TKqq7DqXPUUFOwF1AElH/amYdBJylCrU9iI0NZyZXp2+CUW2Dyb6p5EydcRPvM7sQbu5GgLaXCEY3G7hN2hsp9RDgk5nT6jH9yZrIpfbnq/ClTpqj2S3du9z0Hd52TJElB0SmA9cnrMXQw0Llz56BjOfE59EzpqRqzuKxeO/NwzXttjcH1PhMmTKBtWmrI+aeccgqASkTfNVTp6ZKbEk2yRrlevWygzNJ0jMpjTDHEqqQhxsgSjXW+dEZP/6cGk0/gVpeYsVkc3v3XLuoXdN3sonkMHJFC8jXXBB0bcXJoEwhvU14J4lPV0URnvS+1z2PwMbztcAA0Lpls98dwZSeJ1873RcjSo5WI3tPD1O+lxWHB4gg2yhAIBIKjHZfdyer/exl57Fgwu383jh8PP/wAhvCmQQKBQNDatKqYstlsrFq1irFjfellGo2GsWPHstTTSyIAq9VKbW2t6t/BMmLseGJdyo13p05RLCgoAmBth3rWdTQxOPVsTk5TGqDuqdvAVuMb/FLgsxM22438SQNr1qzxNt71Jy8uig9umURVcSFa4x7OYBGd87LhzKeh3VDvvO3/lPLT45uoX5uG1hXJnuhq4hp0aOy+G3RD5T4mLmjDjrRVrM7+k81pvlTIvLw81bemgf2t/B34zulwDld0U6cVVkRV0PmUzuh0oeuD7hpwl2q/oK6AxAxFoNWEEFNrfp/J65MuYfvyv1XjCQkJ9EwPNvu4+eab6dOnD4Cqhio3QRFDlVtXMtagpE7WypEUmHyiJ7AWC3y9ucJhqlCE2WcPLfGO/fnRJj64axGle5ToYrxTfd2Bq56ly84fSLtsIhn33+dvoAhAG13oSKonzS8uKRKd3ieIamfPZvvAgdR8rUS5PGl+vVN70y25Gw9/5etn8/yFGioTfOvRSMqDZ8Wqo6aDvhzE2dPOFoJKIBAcU7jMjazveAEnfXEXkqelyJlnwo8/Kv2kBAKB4CimVcVUZWUlTqczKH0iIyOD0tLQxhAt2RjR5XSSLikCqqh9Dkl+9T910Xby4nr59u01DEoupNFZR5F5O8XmHTQ4FavW6dOnh7x+2eb1OB0OVs6YBtW7lcHkDkHz/vxos2p/UWItcWY9GosZrbkWnbESSXYRYdciuZfYO6e3d74+wAjCHJB6l5ipTt+b0lsdxQKfa18o+qf3R6fxCa2C2gLvNY2lwc175370DgAzX3k26JgpRLPfpKSkkM2DPemSm9f6UvTq5Ah2OVO8+5MmTQo6z6lrDBrzp7HOTmOdDZfDJzqtDQ5kl8yyaUoNnEdweYhqVGrp9O60Td1I32c2t+AvbAXBaXoA2d2SSGkbQ49h6veg+A6ln1jp/x4DfGl+OfE5/G/o/+jhV0Il+6UO3jPwHtV13j39XdV+eUM5W6u3hlyLQCAQHG3IThebe15Mv8IZ3rG/e96A/PN0iAyuDRYIBIKjjVZP8ztQ7r//fkwmk/efxzXvYNixbgEZKKJtbXQS/+NOxhaNBRlcBiWK4MDJbP1aIgckkxZpxpKRw1+6tSwq/wkZqO/UO+z1JZuSTrZx3h+8Ot3Jn6X9+frH1VQW5GMsK+XFS8/hxUvPwW7+Q3VebWQl8Q06JCC6YDtR+/K9x2Isiqj5YNwHYR83UOAkZmSq9tOj09lwzQY6JXbyjjUlpvRaPWv+bw3ndDgHcEem3KmDocSUB9nloqpIEQkup5MPbr+OzYvmBc0zGAxERkYSGfCHs7q6mi1btqjGauUI7Oj4xDKI86/9F+3aqd34AFX/qUCi4hThWbg1dK1X8XYjnz7wN7Pf3aga1zuUa0ru6F37Hik8n9hIjbSMTrunYXOnewY9XqyBy/47mIHj88KuqfDGmyiu2cvgrS7a3/sBHavV4njDNRu8/67uebXq2NA2QwmkrKH5lvWCw48sy9z57Voe/UWYhAgEgZRc/wi99iqGOnXEcjHfMWrbO2zcLlL7BALBsUGriqnU1FS0Wi1lZeqbv7KyMjIzM0Oe05KNERsrt5DpFlPGSMV+O8GeQKItEX2MYhO+R1NOkbaKhfvK0Okk7MkZOBJScBkiccbEK0YKoZBlNHZfDZXDWcv6mlhKCvbx25svM+8TX0TBaduILPtS10yRFcQ1hE65izPreHTIowDe1Lhhw4ap5tSU+VLvImNiiU8LXTit1/hu2jNi9l9c7RFchXWFfmJKneYX6O73+zuvAlC0ZROmMuW1NpQXeY937drVu22xqNPTqqur+fbbb1Vjuijf+z3l05XKNXoqr8M/VsWYwqW1IBPsMthpYLq3hqlgU3jjjPpqde1bUrUi6OLPOcc7lpeqXGeTpHxO7HtDR6aaQ/2CBeSuL+Pf01xoNmyjcKrPbj319tv2e/6t/dT27KGcAQWtx64KM9PWFPPJknxqLaLBskDg5dlnafvxEwC4kLiAafysu5gff5LoHf57SoFAIDiqaFUxZTAYGDBgAHPmzPGOuVwu5syZw5AhQ5o4s2XoOvhS9NXKS7As5hQ2Z+UBcFWHq0hzKUYJFslOcWIqG9p24FPpQu+5Up829LxwEykpBbRps5WERCVCEykrNVySw4YUULvkoXzvbnavXqEaszf8gexS0gbrI2qINytCZ36/Cr4fVURtrHKD/0CXO5jYeSIA559/PnfccUdQdMYTLep26gimvPYB2jC1UP546nCaIideSan8acdPvL7nQwCqSos596dzmLlbcQ7c8vcC1TmVhYrIaDD5HA4NVaXccuMN3HnnnVx88cVhH6+uri5o7I3Jw73b1WYltz6n7zC+t/RhsysFZA1I4NIGm4GcPrmHt4Zp2zK3sItq+rXJLprLYM0SOs2dQ5unn/KO5yYrYmqHLhEAW3ExssMR6hLKc/nrL4w/TQPAFcKo5Kp5PvFnd6cMalNTSb355ibXB3BDnxtU+6GcAQWtxzsLdnm3+z/2J4XVweYsAsEJxwcfwH33eXc3Tn6JJVFj+eorOPfcVlyXQCAQHCCtnuZ311138f777/Ppp5+yZcsWbr75ZsxmM5MnTz7sjx2VkIquynczvbBLPypjEuig70CWTbEqb5CszOg7jL879WFVos/V7qQBs4iKqqdHzwV07LSCPn3+AsBVpdiMa6xNmACEEFku21Zs9Uqqg84BUTYlzbA4rRFzlBN9gltYGBu9pgtarZbEEG3gPWIqs2MXImNjg457OL3d6QC0jW0bdo4//qmAc01/40LGZbNTVlHE/Yvux+q08tsbL6rO0WiUj5ixzFcDJwHpWW1ISEhQmV6cdNJJ+11D24xgN8CCGgtmIkCSvJbxnlS/Hqe6a5witGi0miB7cs/xcKRVrid+6Cno27RB8qtNizboyIiPoCoqHllvAIcD+77QKY+y3U7Rrbex74EHsBcXYy8qCpqTYQw+L2bokJAGG4FIkkTvVN/XuB5nQEHrY2qw88Mq3/vtdMlM/mRFE2cIBCcAc+fCjTf69p96ij4f3cHu3dDE92sCgUBwVLL/kMVh5tJLL6WiooKHH36Y0tJS+vXrx+zZs49YT4//GzGBr/b5xE1tVAyrl63hrJQzoAIqo33Rhj0pWbRv3EtSUmg78OjS7WhqapHsNnTmOiQpGjTRyM7KZq1FdpbwXZ9nyaxWaoeidQ7semVtUqQShTGGMHAIxCOmPKl44bim5zUkRiZyaptTm7W+dvG+CJhLA+YoB3GNeuIadDRGOtlbtSfoHI8Y8K+tuvLJl0Jef9y4cWi1WpKSkti4cSMlJb7Xefz48aSlpaHT6fh48iAmf6zckH6+NJ835u0EINqgJbd9Fnv27qTPWWmkxeWS0j4CXbKVXgMU23f/JroAscnhC5wjXWaSjDswtAs27ABolxJDWa0VW0YWEUV7qV+0iOSABswApTvXe7e3blxApiYp7GP6Y8gNrgcLx2ujX+P1Na/z046fWFW2igZ7A9H68E2CBYcfi93J9HXFQeM7y+tbYTUCwVFCaSlcfTV4UsLvussboQqT3S8QCARHNa0emQK49dZb2bt3L1arleXLlzP4CHbm69O5l2q/LiKKxsYGZhUtxYmLokSfnfXG7I50GryALl2WhbxWrKYcCTAYK9HYrRjir0QXOSzkXA9ag/rxq6NLGLNK6SMUFeWLhCTrlUhLU4YPoBS7G901U/sTUwatgYu7XEyb2OBmvaFIiEhQ7dfGKEIz3qxo8l35G7zHYlPcaZLmehrr67xrOvv2e8js1CXk9SMiIjj77LMZOnQoKSk+x77MzExOPvlkb9PfkV3SvMf+O30TZbVK2ty9Z3Yjq63y2tloYMaCr3j//feYs+JndhcrDneJ6WqBER3vK3JOzFAfy6tYCIA+N7Q5R16KMr82UXnMsscex1kffKN871c+04gPZj/Jiz/fHfJ6gRjahTcFCSQ1KlVlYX/7vNubfa7g8PDATxt4eLownRAIPKyYVY5z1Bgodn/JMGYMPP88NCMCLxAIBEcrR4WYak20Wq1qvzYqxr0lUys1EFjKv4OuhCMiwYYMistfFEiaOCzRidji00LOl7TpSDq14Ilt9AULXdFpPK9vx5naJC5wKIYJxrJ9islDmHqsxloTtsZGkCQS0lv+a76re/iEQZ07ahffoAcZigp3eI9deP//iE1WBJFxX4lftKx5ws3fKj3QNj1c6lu7lGjv3H379mH369O1YIFSyxWfqo5Mdeyfxvl39KND/zQm3NmfPqOySW4TQ+cBqWRsmw2AIYRjoPJ4ymelzq/plG2POjpnsprI9JWLkVUjk1EjIwOrOkkUpRAWQxgRFw5/sbt83/ImZh77BPZSaw4uV7ApyeF87J/WBEelPDTYHGGvczDPTSA42ln7VyXR545Bu9XdCiQ3Fz77DDQn/G2IQCA4xhG/xQKQsuqIjy+n/0mzWD/weWZ3H6A6Xkdc2HPzT+/GCzc9wQs3PUFCxP8BYIyu4qthK0PO18eMR5LUboAdjb4UsMi4JM68YibPn/II6ToLGknGabdTt2sVPNcBFjwXdM0at2iJT01DF9B/qiW446Q7vNu10YpY6bMrgUm/taP2O6UJbrdTR5Ca087b2Perh/6N2agoCs/Y/mhKTIUjJ9knpgrC9H2KjPG9JqdM6IBGqyG7WzJn3dibmMQIhl/ahcsfHsyIUdFoXQ40sbFok0Kn5eW5xdSuOl+D3cB6qILda5n8l+8mftj2JExdLuG7yy5lZdcY7r1WLeb9CRcRay7H6035qlWrePbZZ8O+x6GYPn06jz32GJ9++ukhPXa13cGApZu5Z9uBOSbefUYX8p85G627Z1iPh39n5AvzMVvVpiULtlfQ539/8Mu60KnEAsGxyI5NNhrHT6SnrLScKNFms+uDedCmeV+uCQQCwdGMEFPAwym+nkLlUgZ9+/1ObGwNe5OCf9GX4RMDNVXZqmPvS7f4rpOkpLk5NEqtU0nbXECP/0suaeLR6POQND6777xq3/aoyW6XtuQOaCRI0CumFsY/XoHGapj3ZND6PFblzRUtB4peq2dM7hjaxralITb0zbonvVBnUPcJiYyLb9IQw5/9iamXL+0bNNbOT0wF4i8seg5vQ1Scnu5Dw/8h9zThNeTmNhkJA/i661jfeQEW6XVff6faXzlwoHfbGd8Fu05iRWf39TUadGlKFFMTH482hLnI/vC3Sa9sbF6t3rHGjBkzsFgs/PLLL80+Z82aNQDs2bPnkCJUP5RWU2K183lJVZNitT5AJOWlKsLb6fKds7eqgfnbKlTzbvliFXUWB7d/veag1ygQHE3ILpktY25liH0RAPvI5DTnPF74KbiBvUAgEByLCDEFTEiN5HX5egDKpUxWcjIy8C5TvXMSZSWyUkYmjsZ4tn7/LqVzHmbLd++wd3NwQ4y6GEVIyJJy82RMTCAi8VY0+vbeOZKkQ5IM9Bh1H/ouigBJKFVu9PqNO4esTu6UwoQc0OhJ9NRNbfeLdL0zDP5+1bvrMajYX73UofDyyJf5deKvfHzZNyGP78Sd3hQgQpIOYE37E1MX9M9m91Pj2fnkWex6ajy7nxqPTqshymgMaUnf0NDgvYkeeWU3Jj87TFUvFYhHFOkD6pZkWebLL7/k0Ucfpa54B5MiVzA6ZS/fXnYpP084n2n5BZTNnMmWbt2pfPc95D/X8O1lMSwJVQAAl/BJREFUl7Jo+DBkwBrpi0RaI5SUzucv1HDpfVq6blhPwoTzgaZFXFPc2PdGrzvj8eLq53K5mDlzJitWqF3wKisrQ9rnB2KzKV9obM3M5Z0RE/hgd7Cb4v7Y22hlysY9PLzTFzGqcSgRybJaC7d+tZrlu6t886vMqvM9VvqB3PPDOq8oK6xuwGzzRTm3l+3/uQkERzvSq69wXtn7AFiI4Hym035sJ159dT8nCgQCwTGCEFNAVHQ7kvA1cX1ZupdddMYq+eprxqN8C15KJpWbzwFZg4SEhBZX4QU4A17K6lglfWtLupL6tidlPZIkoY1QhJek9UVFegxrizlWudHX2JT/k7L87Mq1OkhqR6LBLabsfg50pRvgz4fBrjaoaG5t0sEgSRIaSRM2+vVpyfcA9B17lmr8QNYUHR3ttU5PT08POUejkdBpNWg1Ehp3+lTJPf9BDiFCnE6n6sZb0jQtVGwFe4FgR73i4mJ27FBqw37/VemtpZeU98waGUlxpJ4/v/oagIqXX2be6FHKutq2pTo5Ga3Td7Ps0rjr4ySJnPh2aLRaInspn4/IXj4b/gPF47p4vPSb2r17NytXrmTWrFk4Anp5/fHHH/s9v7pa+dme31Wx3n+4MHzD5nDcubWQWRUm1Vh+g2J88tiMzcxcv49L3/MZ0+RXqntJtXdHpm4f01k13mBzsrbQCMC9P65XHbv+s9DpwQLBMcOXXypufW6e7PAhjv4n8+OPYAj/XZZAIBAcUwgxBURHtSPw1noBo73bXeXNnMxSAEqkHF7KO4/sLu8j476JNuWwbsl/VedXJGiY0zuKTilpPJA6hG8nf0KvKXFYhrrY2iWTeSfV8NGg+5hwTz+SOhlYadusOj8oipPcgUSDO83Ppog8h0tigzGDersBNv5EY30dW91Ncw9nZMpDYBqfh7poOyariY4DB9OmS3fv+IGkHkqSxLXXXssNN9xAdHTzLb4tGzao9jsWFRHlrh2rqqoKdUpI7O7IVHmylvmF873jtbW1+z13Z5fOeGJjDr+6tb/OOJ36OF/NXaeIzrw44kU+P+tzvhj/BQBxp4+l3VdfkfGf/zR7rYHkxCnNlY+XyNTq1au920888YTqWGlpaeB0CgsL+eijj5j91198WVTB1ooq7Bp1bVq9wxl0HsCMciOb6huDxtfUmoPGdjdasTtdzNrgc9isqFMEVr47MjUoL4k5/x5BXKTyObhtdKeg65TVWrHYnSzZpf587q1qoN7qYFF1Heeu2sF5q3ew1Chs1QXHCH/8AZMm+fbvu497113J7NkQHx/2LIFAIDjmaPU+U0cDBoNSpxIhW7BKStRnrnSG9/gI5pKC70anOFXPjan3cq/pMwxl5wCwz56nuub69sp1ljCFEYk1pEWnMWJQGif378XJX77unbfI/gfrl6/3OuN5SMwKiOIkdyDJoKQ5GW3Ktf+pymFpZTtSI8xcM/0WZkfv8k5POkw1U+GoaaMhqUQRlxaDi4LaAnqn9abHaaMo2b5FWdMBCryEhIT9TwpBelkZ5e4+ZTnbd9Cg0dDYpg3V1dV06NC8PH1PzdSjhe+yba7ELxN+oX1Ce2pqavZzpkJ++zza78lvco7cIHN6u9NV6XySRkP0Sf2b9Rjh8DRXPh4iU9XV1WzevDns8cC6JVmW+fDDDwH4xWVgmTaVDFyc5nXpVMhvtNIrTi3SV5rMXL8pH4DSUf32u7Y9jVY++TtfNXb9Zyv5eeqp3jS/YZ3S6JjmqxPUazX0z01kTYHRO1ZQbebNeeqol4dHZ2ziixTfc7xgzU6KRvRFt5/IqkDQquzcCZdeCp5I8hVXwFNPEStBM8tmBQKB4JhBRKbwWW0/QehowHAW4DQnBo2bExSL6+pYDduylShNnBx8UzQ/wlcnFaWL4pIul3j35xbMZcbuGdTG+Gy8JY2G+NSA1LaYNG+aX40tClmGFW4DjEprDBWWaHav+sc7PSHjyHQ//L9nX2PIRZdjHt+eZT2q+WtgOUi+qEhihk8UHs7UQ/DdWJ+ydBnJVVV02bqN9PJyYuuUb/NLSkqw1NdTvX499Tt2eOfX1tZiNBpxuByUN5Qj22zY3Q2DS91GfrtNu6mz1bFz985mrWVrt25UNeVCKMtYrVYaGhrCzzlIcuMVMVVYd2COc0cjhYVNP4eamhpvLZzZbMZkMimtCQyR7EpTUmXL0GCKUt/B7Xan6Hmwu2T+rPJFHRudPpMKWfbEoNUsMdYzc8M+5Ajfr9G1hUZkWWapu34qLzU4qvrWlSdxy8iO3v38qgZ+Wu2zUe+UHoscqUUGvtsSHHnbY7Z4I2ACwdFG3ZqdcNZZYDQqA+edp1igi15SAoHgOEVEpvxoQzHd5E1slXz1KmfL09Hgov+Q50CdQcYb/a/hHIeZmYN833r3aNzD8uh+qnmugD8i1/W+ju+2Ky5vsjshrCHSiVMjo3VJJKRloNUFvDXRycTrrUjIOGQtW2vTcMi+1KXP9qgt3PURkRwJ0vM6kJ7XgWWryvgrb6533COmEtIzvGOHW+A5yhVntCiLhdP//Ms7HutupLt69WrWr1yJS5aJN9Vy9YCTsJ5xBu+++65yfj8H003T+arXC+hcLix6MLnf2qK6It748w36Fga7CIaiNiGBv844PezxWEmiHiXyEhMTE3beweCNTNUVIMvyQRlZHA3YbDamTZsW8lhUVBSNjY04nU5+++03TjvtNF5++WVcLhcr23VjVV431XxjtFpM/b1rD+dl+Czvb9yUz6+Vvi9CCiw2usYoP0M1DidWPxe+gfHRrKxtYKnRjL5zFPYeMehXVKCtVowuPly8h8Jq5YsPTy8yf7ISovjPmd3okBbL3d+vY2+VGatf2uHFE7vxyJ596DYbkSzB6Yh3ztzI1g0VzLt7JDlhjC0EgtZg2a/VtD13DHEud1S8Rw/4/HPQhm8BIRAIBMc6IjLlpl/fj4iP70unWHVPoXNRbuaiotrxWe/2Qef5CymAdvXGoDnlATbJmTGZROmUuqcGewM6SYcsgZyg3LyFrHfqcylaSSbebY/+a0m34DluBiQXhW3qe7jw1Ol4KKxVIgoJGZl0HzaSPmPOJDr+4NL2movdbRoBEH3KKd7tuHqf8YRDo8Gl1WJMTqL4uedZvHix91jDJiVK9PvfnwDuqJRbiCwqWkSHfb4UwY4dlcjCwIEDiU/NYr0jk9ia0KladTp1ndWI4hJS2ypRE485QkvSNq4tEhJmu5lqS8tf/0hRVlYW9tjVV/uaR69YsYKtW7d6I1SBQgqgOFFpVeD5uVier454+QspUNIAvdt+UawhiTE81NEXYbXrlV+hji6+z/YTs7Z4t/NSwosdz7H8ygaiDcqXJ90y43hkj1KD5eiRiD4uuFfcZlMDDpfMuiJj2GsLBEeaXWtqiThvHDluIVWV3h35199EgZRAIDjuEZEpNykpI0hJGcHSvWXM3K3czFyt+Z44Zx2gISqqLWfERFA6qh9jV2xjY4gidQBdQ3BEaE+jOiVHkiQ+O+szLp5xMesrFQcvc8Il/Dx+KOd9+0ZoMWWIgUdNJD75X0zrm+5Bk7Omni3dexB7UieyT61AuuJbSFIc3urmz6foppvRREfTZfkypBZq7BtvUP/B9ESmJEli/G13t8hj7A9PnVPMqaeS++EHbOmmmF940vwCMcfEYFq0AJKVG22tO9JXvl15T0qTfBGd5aXLOVM+07t/wQUXEOuX/H8XsHz0WTQ6G5g/apTqcaoiq3nx7pdUYzNmzCC/uJhp06ZRWVnJmDFjDuYphyRCG0FqVCoVjRWM/G4kAEsvX0qs4dgoVthnamTI03OYFOlzs9vlTGaRvSMbHj3Da+bgj91uDxrzpzhJSZvNqS6jMCWTrVntyJy3ls7REbzRo13Q/Df2lvPkrn282SOX8asV98YhiTFM698ZcwjzCjnBQEJyJKZqi2o8MTq8ZZknalVsVH6XyBJs6Zeg+iKkobPyc3V7bjpWWebdwgqsEVr0QH6lmbu3FlJosfFlnw6ijkrQatRUy2w/7TrOcio/s/vI5JTy33h+eS6XBP94CQQCwXGFiEwFkBfl6wPUzr0ZGdkGjcY3/lintoGneem0z8aZ8kzVWJHFhi2gUah/JEcGLPFnsCcuhZKMXHJ69gl7/ebUHdmMys1m/eqd2HbtgLk+B7Sim24GwNXQQMOalmsMOqTNEOIN8d6IW2vU63h6QxncvaHS3Y540WHqkurjYnFabN59p6TcJGfWKDezpeogJU6Nn625PriKxjjlVpKrgiNBQzoMCRrz7521aNGikOs7FCoa1c1gZ+ye0eKPcbh49a8dxEo21dgGh/IFww+rfD2iBgzwpbaWuGvcnFLTv9I61Knfnx0NVq5Zvydo3opaM9sbLJy/xlcjl+ROvY3RhU5ZcnVWf6HQLTMu5DwPqbFqoaVNi8QaJqKcFx1Be/fvJjlaefydVWa+2FfFgpo61tS1fO2dQNBc4l59nLPqlZYY1SQxlr/ofXY7LrywlRcmEAgERwAhpgLIi/Ld4LSPVqJM0VHqr9aGJsUSGfAt8E2/GvnPj9Xojclcxce8IV/H+v4aojQaXEChRX1z+EN5I7XJN1CR8ymNcWfjkpQbpU4nDaPzyUPDri/QEe/SR5/hhrc+CTvfbtbChu/Abgk6VvHyK2HPO1DiDfH8cdEf/HnRnwBUW6qps/k1Hc1frPTD2jIDHk1Q/v36H7DWwe8PQvGqg37sxg0bKXvmWSxu1zd9riKmUq6dTN5336J1hbIPgJKsNuxr4xOn8fZ4LthzAV1qlHTOqrRsLtxzIWOLxhLhjCDKoQjFv9r8xQcbPgi6Xm2fBG64VeaPjGn8lv2bd7xPVrA4DmxE3NJGFNE6dXqZ6r1oJWZv3Mcbc3cEOfAFUllvpb/OJ5oqXDEYZeX5mBp9EajiuO44ZOVX2MaNGwGojWy6huihc88MGiu1hY9qNThDf3aWndI9aEwXpceZGoG9Uxwy8PPUU5tcS2AtW3JSVJiZ0Favp4NXTCmi7qdtvjTIUmvwc9hTaebkJ//isRnh3RAFgkNm/nx0jz/q3b2OD9D37cnXX4tSKYFAcGIgxFQA7f0iU53iFbe82NjgGozbcjNU+4M7phDhgPRtm5CAJGrYsPoC2rvF2Z5Gn5iqsjm4d3sR1tjhIGkwJ13mPbZr8zYa/frqBBKYApiam0dcSiq9uqQAkGdTW3fb6tx/zZa9FXQT27hmDbb9uKUdCDH6GBIiEkiJVNaiik59cjb8/Sp8e5Vv7J934evLYekb8P5oDpb8iy+m+pNPMLvrn/wb7UZ2d6f61QaLid2dOgaNadCw8uRBuCSJ2BhF1CbYExhcPhi9rEdGpk5fx8ebPsbpUqd7Pbb6ZsxREnXRLhr0PnGUk6OuJ4NgMdXStVNXdr9StV/ZWNmi1z9QZFnmpi9W88If2/lnT9PP1eWw01Hrm7PNmebdrqpXfo5MDXaemb2NSllds1gb1bSZR6+UpCaPN8X4NF9dVG5kcPpepEGLfUAqzo7xuDKiiNTv/07SP3qliQmfdR3r8H3RI0frkPGJKlDXeHm4+qPllNdZ+ejvPWwsDl3PJxAcErW1cM01vtTUp57iqh8nMnMmxDUdmBUIBILjBiGmAojTaZlxUmd+PakzHXMup1fPV8nLuzVo3q3t0nmoQxbnpycyb1BXRl/djVHnpNBxxyzVvPbRijjbUt/I3Kpa5lbV8o8pfOPN4rQMry13KPytxk+58HIiY5Q6mFGj+3J22y30qShXzbfVu2+49q3DGeKG3V5UFDS2P2yFhTSuWxf2uMea29s0tqlIRH7Lp7h50vwAJL2ejAcfZPTcubTLzw97jkNW18DVJKlvutMsyg19g7YBl0aJVqytWMva8rUA1NrUJhOj2o4ncXQiEy+ZSHZ2dtDjJQVcf9++fSxZsoRFixa1SJTqxr438q+T/uXdb40Gvg6niwXbK6iz2NlY7Ht9imoacblkFm6vwNQQHFEJ7OVli/e9n55muJ7/a10RqrkeC/ScCD1T2qbyUJpaXDXlbJik0/Jd32CBDYp4mujn/qcJcZ09kk9cO9vu32Xvj0oTF03oiiyBK05HdaxPfCX7CTHt3nrMtVbS9TpwyaCRIFKreoxPiitxyjI2l4u5VbVUWWxeR0FQXnOBoEVpaIBzzwV3rSojR8K99zJxIoT4lScQCATHLcKAIgSDEnw3YBkZ54ScE6HRcGs7dXSq2+nd2CarnfvaRSov8ZNuU4v9UZyeiX1fcG8ZD/5W491OPc27bUhvT7f4SrbXqddk94gp2eWtKfLHVlBIzJDgmp6m2HW60tC4459/YAgRdcmJy2FN+Rqvox/15UFzQmK3gP7ALN1dNnX6JJKEPuAvefzZ44l68km6bNvO3ry8kNfROC2g86VZlWaFtnHX+PUUmjR7EgDTzpvGI0sfUc07J+tOzugZ3greYFBHNmbN8onw9evXM3Xq1LDnNocIbQTX9b6Ovml9ufb3a33vxRHko7/38NSvWxnbPYO/tvilpNVa+H5VIff+uIGT85L57ibf58/lkqkzGcGtJbY50phx23C2ltZy6XvL2FulCE2PmKqTA8WU8rM7ISOJBzu2YbvZwhMVWwHQufVPvFZDbYj0vetz0hieFNqk49bc9JACCiAbDUUBnahcaZFsNTfSLSZ06t7imjqu3qDUamk7xuPsGIfnk/xezzzmVtXyTany5Ye2yMzeKjMbS0xIDQ7kWD3ONlG40n3XLrba+aKkChm4b3sRfazqtRbViJoqQQsiy3DzzbBwobKflAQffQQa8f2sQCA48RC/+VoQTUQEuqxMUl70adRs3YHdxOzNbEvj9u3IYdzJdAYDY669mSEXXUFKWz8h0/08nH2uw2lV7kK1BuVbcm+an7EAm9s6PKqvr1eSddtWZKcyV5ZlXDYbssuFHChS3DjrfOlylg0bQs7x73MEQNkGXMEGaMG4b3r3h+y3RntRseqYLisTTYT6BluXnEz6PXeT3aMH/WWZnQnqxxm8dBk6tQZmc+fQJiO5flESD6vLV7O+Yr1335x/M3urGlS9g0Jx8cUXhxyvqKgIOX4weIxOCuoKsLuadrxrad5bqIgFfyEFsL2sji+WKZ+Nf/LV0dLSWguRLl8UZdTo0SRE68lLVURSQXUDNofLK6pqZUV8y0DvkwfjyFTeN0+6bpeYSK7KUtJOfxvQBYBpJ3Wmm7GcnCr1lxY35aSHjVz5p/966Ly9Hm2RmX8np4Q8Z3FN6Ai0LMtMLzd6950d1flQ7aMMJPpFpqRGJ9vL6nl9zk6kBuUz5cgLzqH6qLiSDW4jikC3Uc/rJRAcKlYrLLrgJaURL0BMDPzxB7QPbh0iEAgEJwJCTLUwhtx2ROzSEOVUapvSnMFOYU0hazTcmtuDrb37BEdd3PQbdzZDL75CPajRsvs1d62VJNN+nFIjYzPrkF3AvrXYl00HIKJrVzIefBCAmq++ZmvPXsiyTMm//82O4aexZ8IF7Bx7Oi6zOeix95w/wbvtCOFcB35pfrUFMOcxGl66nG0/ZlG1xS/lasLbwSe+NwKWhRj3w2k0smPESLb26MmOUaOxbNqoOm7IDo6UAaRMmUK7Dz9g8H9uZl3SJtWxvL17yUQdQXBFKjVN3burjQYSYhOC6pECzR1cje14Z8Euej78u8p9LpCePXuGFVQLPd/4HiLp0ene7et+v65FrnmoTF9bwga/Gp53Fuzybo94fh7xkmKWMmLECG4Yrbz+6XE+MXPpe0u9kalGWXGunN1zMFOjstimVeb5u3K+0C2H0lH96B2npMX1jI3i2rpSzt64zDvn3LREorXhfx3mRqkjiZ/8vYfCPSb0m4z0zwhdHPLQjmLqQgjq6zbl83lJVdjHyouKINavcl9yyny+bC+NdidSo1v164PXanfJ7DQrr50rWp104Hm9BIJD5aMJvzB8ul+7iw8/hIEDW29BAoFA0MoIMdXCGNxOcvp6RThoKr9scn7P2OC0tuW9+wNg3b6j2Y8rO504St3ftMsSuignkkYGl4S9Qbkxs62eq6yxXa6qrgjAUV5O7a+/4TKZsG7fjqO8HPOKFUGP4V/P5enrFIgnMlVYVwiLXmTfygRwSZSvcxfwX/I5JHcIeS6z72vyedb++SdOd02Ns6qK6k8+VR2XIoMjCP4U1hVCiODDSVu2Em02kxhQr5OZqU7VO+OMM4IaFHvqpgDGZkwBoMpsw+GSufv78LVlEGxE4WHu3LlNntdcNH5W4avLwxubHB6a1zj6md+USKHF7sTulImTFDMF/9fGP2K0psDojbRUyjFUuGLYm6o2ZmnfRH8n/2tf5TLTNkLP/R1857/XM4+sCD0XuWukUvQ6cgIMJx71c8jLTY7mzoCUXw+LagKEtiwzq6JpM4g4nZZJbVNpH2Xggjh12qHU4AhzFug1Etvr3a6dkVpkCeLcacYiMiVoCaa/ms9ls6/x7r+c+D829ry0FVckEAgErY8QUy2MR6ToKpWXNrIhfC+nb/6Zw1UbQ1uCW/QG7PvCG1HUzZ1LwZTrsJcp9UiBdVaSBvTxyg2ovV6LpUZHbYHyzbx+6QPof56gmt/4UvAfRGe1Wlg4ytTpWjWff86+Rx4NcgnMjlNqlioaK2iQJGSH70Z424zOuPLGhhdTAN9cCfbQBfNyo3rcsmVLyHmNjkZum3sb32//ngWFC+j9aW/umn8X1/5+bcj5MTt3cu6MmfRbu1Y1rvWLECQmJpKenk6cQR2JmF80H4C2sW25stvVQde+7es1OMJYbAcaURxuAo0yDhcOpwtjCHOJpiioVm744zWKIAgnNAH+v73zDpOi2Prw25Nnc84ZliXnIAgCgqKiXnNCBfWas37meA0Xr+karznnjAkDYgARSRIkp43ALmxOsxP7+6Nnpqd3Zpa8S6j3eebZ7urq7qqenu06fU79zpJS5d70oOPL9GFB21NNHSej9h17RO1WlozqQ0GEaoSfnBLH0lF9eK53LpXjB7JqdF/NfKklpVqPbITJwG0F6VSOH0jl+IFcl6N6Ay9eWaL5fYSSMA9FksnA/CN6c2eBNq+c5NTeR8a/ajDNVX6X61raqPOlAZAkXL3jcE/IoG1SJuuHxZP2yzLSflnGlOWbaXS5WVJaR/rnC8icsZAfy8J7ygQCgPrtDrJuOot46gH4lNO5q+0e3LsSwi0QCASHMMKY2sf4chzpKrxSxbINsxyc4wkg5v136P7i8wCk1uxgWmWJf9u25BScYTw/ABVXXU3LvHlsf+wxAJze+VAAKScVAWAqUOaIOFzJVPyuDkxNUS5MUdonYHOIxKWOcu35Q3mi6j/6CEc7lbxYcyxx5jgAyg3acCNPSwt1H30Mkclg9nqqTnpae9C138Cy94POBeBorz7YLodU4kUXAfD5hs/5tfxXHpj/ANf8rKgxziqdpVb0irZNnDgRyWLBNyKIatLOc+nVqxeDBw8GYMKECQCMSBsRsm3Z0dnkJgZLc3+9fCtzNoSeB2WxqJ7JlJQU8gPmHdjtwXLXe8Ll/S/3L3dWMuWt9W24PFoj+/oJhWHrtzndlFS3oMdDpKQYHO2NqVD7P/CPPrh6xmnKLEhhxSJ8+I69J5L0Z74437/cLTn4+z4tTWsgL29SXwAUh5AwD+SCDO38q4w4bfiprla7v9TqUkP/2uHOiqQ2RJjh7NpGXijbzjmv/Ikca8IdayLBLLSIBB0T9/AtDPEo0Qob6cYlvMaLL0kETMEVCASCwxJhTO1jfDmOpPX1/rLnuYTb5X/xtHw5fSLVcCGr3U5SQx0f3HUtr/z7Dm42OLF6kwFvSU5j+2OPs+OZZ6l9513kMIlnHaWKEeUzdIxZWST8+yO4agGmvkcAUDlfh7NFHSyZotxIOig8pRJTolLeUBws5Vz31ts0/vBjwLm8xpSkHSSHknL3hfptazXhbNUO1Lb/5z+KtPp1S+HG1TB4Klz2KwAuu46K3+PZcMXj2Fas0Oznbmqi7u13Ql6H7FdepmDmt35lwu2tHSsI6rvrueqqqxg1apRGkdAa4Pnq3bs3iYmJTJ48mauuuoq+ffsCkBqZyszTZvLU+KeC+pwUZUKvCx7IVzeHnv8GcNttt3HBBRfwz3/+k/POU+fCtZcI31OuHHCl35vWWap+oeboXDehkC+uUhNSJwT8Fu6esZKbPl5OoV4xOs1mMxEREUH7B2LOieJhlzaMzri4mv/ThVbkCyTQmNpZEuH2BNqIX187Omh7z0grR8apbQj0RpXYtPfB+/1VD+0zvXL4d6FWiVKvk3h9mjof5f0LhnFpVpJ/XbK52v8cd4nNzW20JZsVmXW3zIAkkRRI0AGffQbPPAOAbDbz6JCPOeufsVwY7IgXCASCww5hTO1jTNnKYEhXos5RsNJGP1aQRDWnJSpvkXUBxlFabTXRrS1E5ORyXJLirdmSrMzBqP7f/6h6+GEavvzKX98TGOrmfQPvM3SiJxyNZDRDSk+MvnlR7eIwdAZl9GWweIjLCR/e42ltZcv11+OqUer41ADju2sHyqE8aNkxioGS+lls0DaAknPOhchEiM1U+pChzBPbtjCWpgorrhYoOUsbelg1/ZGwbTUXFmIuUAemzY7wubwABqUOIiUlBZ1Op14nIOYoVW7eZzzp9XpSUrRKb9nR2RydrU00nBOTgyRJhLCl2NJBnh+r1Uq3bt0wmUwYjUYyMxVFun2VyFev0zM+ezzQefmmStsZUwOyYtHrJPpkqPdDXISRfpnK+qdLKmi2OznCqLTP5XIFKevpdZK/vqyXaOgVS0OA50VqdKCvsdPYEt5w9eELr7Tb7XuV1yvCFNqjc0666lULTKjb3jM1IiANw7GJMRhD3DxDctRjDcqJY1KSeg2zY0NLr++MBaW1OPt7j6uXMHYgviE4zCkpgUsu8a9KTz3F//4czHPPdV2TBAKB4EBCPEH3MbqICAwpKejqQSJ43sbkhoVc8/GbvPbgrUHbTLk5fhWyLcla4QPbX6p4gG256rFxN9Tj3LLF78XxhRmC6iULJHOUdoBuigo/od1H/ccf4ygp8SfqNUVr9/F7rDwe3Ktn41g+lxxLMnp3x6/M183+DE87j1vzFu3gUHYp55JlmYbPP/eXR40dq6lnSFHnqbg9bn4u71jA4YT8E/zLgdfJmJvDZZddxuTJk4OU/NojSRL3HHGPf903VywU7Y0LgKY2J7+u205jm3Yejc9rsmnTJmy28EbY7uCXq28so83pZkNV0257ZHaHEq/gwVlDs7h7ci9eukDxrpgM2n85uYmq98mCel+Fa9srFyrHkSOCjRjTX4rRX1K9c+U6o9FITEwMsHOjVZZllpbVsbaykQab+l19dNkRYfc5PTWeaK+BUhzCmCqMMPPdkB5EGvS83S+fN/rmEWcMbZjFRhh56YIhvDZ1KBEmA0fGRfFEUTbfDC7kQ28bfPOmdpXKgATBAkFYHA447zxo8IqmnHMOXH45BgOYO9b6EQgEgsMGYUztB0w5OUiyhNmjzH+QJANpqf8AYPtbj3L6Lz+QV7klaD9DSgr53onwFSlaY0r2qLmgyqZN85c7S8vYOGEitiVLvOcOMAwy201e18lEZ3vnb+WNUepE7Hz28I6nn2HTccdjW+w9R7R2H0fJZmXhz+cpmXY5m86+jPyvnuSKmVpDKfKJBzXrnqvv5ufn7lAL0voFndu5TUl23PjVV5ryzGefadc39VZ+Y9UbVNuqw/bnor4XaVTuTO0M0IyMDIYNGxY251Agp3Q/xb+cYlUMul7pMUH1SkKoqQ196CemvbGIIQ/O0pT7jKklS5bwwgsdS8XvKj65+vKmcq7/cCnH/HcOczaEv0Z7i8947JcVxz/HFJAWG6xa2S05iryAOWY+SXSAjIyMoPqA/zhyRLAxINk93nPvmqdpV+dNfbF0C6f+7w+Oe2ouXy1TfrdJUWZGFITOLwWgkyQe8OYqCwzt83mp7u2WwaAYxZA8NimW45PjOmzDpD5pTOileKslSWJKRiJDYyPJileOoQtQ+cuydCy+0Z7CCDEqFoRAluGaa2C+d45gfj68+KI/GkIgEAgECsKY2g/4wsZMLcpA0WLJIiJCCUFzpYT3Bkg6nT856LacPM02V6Xy5tm1k4SugZLnpvx8dFHq3A1jlEt9DuqUt+DmOJdmDlRsfgsxOR0PRk1RLnLGVfv3cxQreYLk7+/G0agM5LJKdIxdqR4363//Y0k3qGg3/kx6RTWS5NNeDbojfV6v7U/+118WPWkSOpOJxH8qoScZj/5Hs8/Tf7UTtAD6J/cHQC/puaTvJZptmmvWTjJ+Z5j0Jq4aeBWndj+VvklKWOCTZw1kTGES95zYm6Qo5ftsP4fI45Gxu5TBv9Mt4w6YiBMovNDY2IgzTALn3SEwkfIPq5R76eU5mzraZa/wGY95icFz8d68aBhH9Ujm/pP7kBOw3SeJDnDKKaeEPfb7/xxBbo42fPSJnHRyEpRjlda24PHs3Ou2q8bUo9+v8y/7ZNxD9as9vt+yzxslyzLFXsMqfx8aMG9cpKgZDq/1MCEhhu+G9CDfmxcry2Lk5qwUdDvaMKxtQKoLFsB4uU/ePmvLwcKcOXM46aSTyMjIQJIkZsyYodkuyzL33nsv6enpWK1WJk6cyIYNu56q4lBgzvHT4ZVXlBWzGT78EGJDh20LBALB4YyQcNoP+LxDhhodRENERC72bxdBb7CN9GAbqQyoTKYUkq+zI7eqoVx53kFQZUQUL/xvMv/gC+Le1sO8eWy59VYav/q6w3MbA97oS5JEzuuv+eceacLzDBZvHcgaXUvFXMXKSRvSgM6AX0Y95Dki3Zii3XSbvJ1N36TiKKtgTc9egHpuwyKtCMCtno8Z5RnFvZcZ+Hi62g5zgJ3gIgE8gE5HZGorLdsslP8zONFs+oMPAJDyf/9Hyv/9X9D2UAxPG857J4TO+aX1TO2eMQWKwEMg3VOieOcSRfHvnGHZ9LnvB+pbneTd/m3YY1Q2tpHpVW5rr2JXV1dHijeM8fXfi3l5zmbeumgwH7ykGI1nn332TkMSfSGI1bZqTMk/4thxLPM21nDN+3/x3HmDd6O3O8ftkSnzG1PBanfjilIYV6T0J8GbD8qEizEmRVFyyJAhJCUlBe3nY1T3JIa5Wtm4rZZb89O4KU/x4p51czI97/meNqeHgjtn8vlVoxicE1563nedf/vtN/r3709iYmhPk82pemJbHMpyKNXG9viMqbI2B2m/LNNsa5+3am8YX5RCySOTNWXzj+itWb+lUPltDnv4J8pHqYbc6Slx9Iras3lXBzMtLS0MGDCAiy++mNNOOy1o+6OPPsozzzzDW2+9RX5+Pvfccw+TJk1i9erVGgXOQ5V5D//KUT/c5V+XX30NafjwLmyRQCAQHLgIz9R+wOfdMK/SIUlGEhPGYf/qz6B6Dsd2kp+4G4xG0v71LwCSAuZNfCydD0D9hcoArr0hpQ/xllBqJ0UeaBwYLN6wuzPfggn3KAZV9hFEpssY4iOJHDHU57AiZWD4xKKSDtAZlBBBnQxyx2Ef3w2R+H3L7yzdruTcen6yetvVR6r7+oQsjGlJHYYf6mOCw+h2hs8zEwpDejrmnj0xde+G0Sv+sK+I3EXJ6dKAeT7tjalAz8kD36ymsrGN57/8w1/20Ucf7fT4sWb1XjEnqfPJvlmxDZtj3yaKqWxsw+H2YNRLpIcI7wtkZLdE0mMtFOhVIZSO8kv5KG5VPCw+gwXAqNeRFa8aBruTMHn27Nlh68Vag8PmfF6wjkgJI04BYNZ1zb/eJ88agK5GDafMPUxD/I4//ngeeughTj311KBtsizz1FNPcffdd/OPf/yD/v378/bbb7N169YgD9ahyLbVdeTcqybmvYuHOOfrKV3YIoFAIDiwEcbUfsBnwBjmNzBu7ArSDMdg2BHa4FjOnfDRicScocypaj9PJ1ywkmQ2ExvijWp79HFxtPXzUH+uC8+wC+Hu7dDnFEjtA7eXwyU/oLt3C93nzCf7jbdguJKTKLFnCz3P3ErPM0MkDj75Obh7B1LWIEyROx+Iv3GsMr/lj62KAfBbfx1XX6mURbfKOOyKF8MX0mfKzYd2l6vpODfNR7vp9tHL8MWVsD10st4vNnzhX/72VNUTlB2dHao64A2v/OxTCmbMCDJGO4vAOVXtJcF9xpSaLFYmevvfmjo//PBDkJhHR5iSZmGMnweoyXJ3F1mW2bjpcbZs+UBTft+XKwHIjo/AsBOVuEizgTm3jueO0aoHyTLrVrg/FjaFFxHxzUPKs2qNgUCPUU0HcvSgNaba2kLngvtjU3XI62M17fxf567MuetsxhQmY1yiGq7WLjLqDmSKi4uprKxk4sSJ/rLY2FhGjBjBfN/8oRDY7XYaGxs1n4ORypMvI9uj/C/+jaOYzh0EXAqBQCAQtEM8SfcDPkU9d20tcosdR2kZOlvogZUsO9la+RFbt6oD0hEx6gCxCcULI+u1ZlXS1VcHze+JDfGWFaD2ShetYzzYJujBEDD4NJj8fyWjURFx6HOKf7OkVz6mGDUWLzavFZJ7gk4HR1yFcSdqgI4A26TFqXpfdsSC3QB6GbZuUDwIvpxZpvwCYrLV0EdXvEzTyW4az3AjLbgblr8P750Z8nz3/nGvfzk7OptkazJGnZFucd06bKek1+83Q2pSn9Sd1glU+5Mkya80B6oxdfoLykAuXrJh9GgH//Pnz6e4ODjxciAxsirwYU6ejSXta5AcIXNC7QpNTX9TWvoCa9fdjSwrRnWrw8VPa5QcX7pQGvEhMOp1NC9X587l4BVneSf0/dzidlPpUO5J39wgH9nxux6yFmhMhTNEz3tlQcjyI7uHD0MMZGhMsAfr9NTwoYedwbXjuoNT6e9RCSK/VHsqKysBSE3V/m5TU1P920Ixffp0YmNj/Z/s7PAvcA5YvviCQZs+BaCWeM7nXU49TUeIaGuBQCAQeBHG1H5AHxWF3jv/ouLa6/yy5Sn3GImaqSM3+4qgfVptJf7l5wvUSeJVKPNB2vqpxlTav/5F4kXTMAY8rFPvuou0e1WZbh++QS5Alf5XWlo2dtz43FEw5VNt0dE1ZI9VPmlDGyDBm8+p7xmYBo3315N0MmlD6zHnpvvLfB6oICSJ7QnK7Vfz2SdAQOLhnBwib/mUrDHKG3R3ktr3HW6vR6qhHFpr4ce7YeNPgKJUpz2FxJvHvcm7J7xLvKXrBrBPnDUw7DaLUbkG7Q2aC6ZdQkJODwDWlm6lxa4arZFSaI/Lzt6EW+uCM2xas95j3fZdk9VualpDZeVXVFZ9jcfjoLLyS/+2svLXqa75VaOkZ9hFYwqgtk35jgfzN8l0nKy41OuVijfog+TEA6XX7S63X2Ld5nDz9E8buO6DpWzaoeQgM5lMHH/88cDOr10gw/MSNPmyOuK9gKS8ANN7ZPFoUXgJ/c7gugmFvJCdwSf9ChgQvfNwRcGucccdd9DQ0OD/lJd3ToLsfUZtLVx1lX+17PYXSB2SzSuvCAE/gUAg6AhhTO0ndN5QrdY//2THk08CYKiRiPnGQPfCW8jMOFdT3+NWDSiDvYw+smKAVaIYJnWXqYPp+LPPQjIaMWWpg7K4s89CZw1+K2+3qwPltrYK/lwwaeeNLzwGjOogy2DxEJVuJyrdriT8jfC+0dfpMA1SE9emj6gnflAcCZeqD+SGqPBPYU+KYnBGfPAd7vp6f1JgU04u5I0mOtMOkowrWTWm1hRFq6GPn0yFP56Fd0+HpkpO+FzNHeWbI5UTk0PvRO1k/M4mymwIyq/kY6JX7rq9nPcL87bw7gZln8rt1fzr61X+bYGqd4F0ZBB4PDLlNTKu5h6ackPUOr7a+sRO+yDLMgsXnciq1TeyatUNbNg4nfKKN/3bN258hOXLL6G0Us2HNjx/53OffNQSB0B/2oVv2oINK586XvsQP4Ceaaqnpc3podob6vfId2v470/r+Wr5ViY88Ztav2dPAOrr63G3S24dbi7Z2cN23eMQG2DsXZ+bykWZSUTquzbHk8mg49ReaYxJ2v25h4cDaWnKC6yqKu1LhqqqKv+2UJjNZmJiYjSfg4obbwSf523yZAb++ywWLYJdmMIoEAgEhzVCzW9/4Q4eiOmiosh6RlFg69btVrYEhPa12kpxuZrQ6Uw0Na8iFT2r6O/3TAF4ImRy//uSf92Um0vqnXegj4tDZ1LDnWRZxu6owmiIobW1JETT7Hg8NgyGGCQpjD39z59g4cuw5E1t+dnval5TamTFo1ww9Sti4/JxlFewrWcibH806NBXDriSvkl98fz4b3+Z7e+/cZaUqsfU6eH018ivu5y1adGAOgBts+iwtnmgeI560ErtHKL/Tfxf6H51ETOuOpIvllYwqnsSf26qYXh+AkvL6jllUCbfrNhGSU0LNoebepuDtBgLr88rxoIi3hAlOXhncSkmZBzoiZZCz+8pLS3FbrdjDpFNs6qpDbvLg9WZBKzXbnMtZUtDLXq9Cxk3qZGpmjxcAE6n1qipqHg7ZBvq6+cDigz9/00qClmnwd6AR/YQb4nHbreD20G9N5xVb3BRLcWS5PQKoNQWQ6bWq+gXnwghnnD64CzKalt5/hdF9r2kpoXkaDNvzS/V1HO4PJgMOqKjo9Hr9bjdbhoaGjShf4Fzpb65djT1rU7mr9vKKYN2T6Rk5pBCvtnewHW5KTuvLOhy8vPzSUtLY/bs2QwcOBBQXlQsWLCAK6+8suOdD1Z+/BHe9v6mY2LgpZdAktpPXRUIBAJBCIQxtZ8wZmbi3KoVb8h88gkiR41SthtjiI7uS1OTMlm/vn4Bv88bhcEQg91eSSqKIEWNoRC8TqmsXz8iKmaA5pgJFwaHbhWXPEdx8VMA9CgMDv2rrpnNqlU3kJZ2Gr17PRK6A6l94KSnoXazarQccTX0Oimonz5M0S5IKkQCUm68AZ2tGj4ONqauGqh4ruYlvwIog9zySy9TNkoSRp/Hrd8ZWM6rRVfyAIHG1B/DE5gwR5twtun9MyFP9RjkxuRyINE7I4beGYqHbLxXFnxCr1Scbg96nUSb00Ove78HYOpIpe1tAT/PCyx/4ZFhmyGNSMkFLugxfByblsz1e1Q2b97M9OnTufPOOzGZtHOJSqoVwyDGkEYouYnjZoxVl/OO47Gxj2m222yl7XcJSbL8KhGGR7h07ABiQiSP3VC3gdO+UoRTXhz/In989Af2lkZk9LRajAwb8TEAb1S9w/FrX1Xuv0ytdLsqPhEsL27Q67hlUk+Wlzfw+8ZqSqpbqG8NztO1pd5GflIkOp2OhIQEduzYQW1trcaY8oVeDsiKpW9mLCtWrKBl8ecsSWlj+G7IRA+OiWRwzM6l1AWdR3NzMxs3qiHPxcXFLFu2jISEBHJycrjhhht46KGHKCws9EujZ2RkdJj/7KCltVUT3scTT8A+VjUVCASCQ5n9EuZXUlLCJZdcQn5+PlarlW7dunHffffhcGjneqxYsYIxY8ZgsVjIzs7m0UeDB94HK2n33RtU1j6HUa9e/8FoVHPbuN2t2O3eyc9sA6DePMi/3da6awNanyEFUF0drIi2Zs0dyLKbbds+2fnBTnhcXT7y+qDNpvx8oo4cSmxPI/opb2q2JVoSOT7/eI7OPppkazIAT41X22a8OFhu15Cehi7Qs5JQgM0aHBblbnfnlgWEUwWe40CnvZw3EOBF0b4X1kmQ6a4kyuuZanCbOf/884OOGWqSvE/gIj1i5/N1vi/5PqgslIczHL0S1pOXFHouzmsrX/MvPz/neVpaWnB5DeWN6WrbrktRcqNRGyyq4Qvzyw8R5ucj15tUt7SmlZs/Xha0PXCOWrjkvb5r5lMI/PzzzwGYOXNm2PMKDg4WL17MoEGDGDRI+f960003MWjQIO69V/m/feutt3Lttddy2WWXMWzYMJqbm/n+++8PuRxTbjesPvYG2ORN4D1mDFxySYf7CAQCgUDLfvFMrV27Fo/Hw0svvUT37t1ZuXIll156KS0tLTz+uDI4b2xs5Nhjj2XixIm8+OKL/P3331x88cXExcVx2WWX7Y9mdSrm7t3ptXaNN5mtQmBCXYDoqJ6MGb2An3/pHrR/KsqAuNyhJz39TLZt+4TWnXgHNm9+moaGvzRltXXzguq53c3+5S1bPiQz85zwB00ugvs7yjmlI/u1d0JvkyQePSq8gZxdMID/jdVx3m+qklprinaegRyfR2sIY2p5nxjq4k1029xCXoWNcqPiBRmUMogJORPC9+cAJDcxMmjOVEcYnErdKruB/Px8br/9dh55RPUw+uZOzZ8/nzVr1nDyaWdy++dKGGRBXA6bmpR635zyDSfOODHkOZxuJ0a9ck3d7lZWrwmdHDkt6xYqK7RerLFZ84hv/ZPW1ueIiNB6CH2CEACtngQ+GzSWwWXrya/ZhiVgLliT5PU6/fIQbF0K575Ps8vN+Ss282eDYuR0ZEz5kgU/94tWcGVMYRJzN1Qreb28UYiSRUkw/dhXS1j0+Q5/3QHZcd5jCZGGQ41x48Zp7sX2SJLEAw88wAMPPNCJrep8vr3iK06e9woAbksEeqE2IRAIBLvNfvFMHXfccbzxxhsce+yxFBQUcPLJJ/N///d//je7AO+99x4Oh4PXX3+dPn36cM4553DdddfxpFes4VDB6o2518fFIZmCw5LC5aJJQZn8XOdy4zQpst62AMW/9siyTHHJM9TW/R6mRujzrF13V8jyziA1MpXqRK09v9Chnc/jiLDi0Usgy/Re2+Qvr4tXruWmAmXQXOaVNe8on9SBSkeD9QXO0P1xyRKljYoR2v5tuc/D8sMPP1BWVsbbX6neyV7JBSRZk0ixppAZHT6UZ2uLGqK6rXJG2HrfrzXQs+ghTVmfpHW47avZsOGhoPqtTtVo3Jh4PDti4vmh7wgAbBY1FC5JCpDcX/cttDXywbZavyEFoQUofOSGuaa9MxRjPTCv10+blGO2F/ZYXl7vPVZwiF5HA3GB4GCgbKOD3q/d7F+/wvEsL/8Wep6jQCAQCMLTaWp+7Sd3z58/n6OOOkozt2PSpEmsW7eOurrw0sgHW2LE3HfepuCbr+n+26+7tZ8FO2kmxTNQbcgDoLJyBm320HlOqqq+7vB4I0Z8R2ZmcEgYQF3dn2za9MRuhXLtC3SSDjK16liBQ9TihmLeWfkMABZTOunT1hIX2TfoOM0DzuKL1Bgez2pljGsmra0d51vaZ2z8CeY9A3s5sA41WPexxp2KxdJEbt5SjEZVeKJJtlBaq+bimnLFDRgSFS/Qzz//zP333+/f1mpTDYesuCi+PuVrvjzlSwy6YMe07FZ+jyd+cSI3/nIjGzZvYPZPqgR6cfEgTf1Pl0Ny6lkceeQ8YpK0yWiqa37G7bbx8KatpP2yjLRflvGd51gc5p40x02hOkI15uYUDmB+ch//eoOsxx3476mumFqnamAZJEg0hlbF83icJHjeoSBWvQ8K4zbx6fnryEtQDM/AvF4lzcqLhhx9vT+EMpC8pIigEOW///47qJ5AcDDx/akv0V1WPLe/MI5XPRfRq9dOdhIIBAJBEJ1iTG3cuJFnn32Wyy+/3F9WWVkZMimib1s4DrbEiJLRiLl7d+08oHakpQUnJ9Xro/wT7Ktk1eBYteqmkMdYtfrGDtsRYc0jJfnYkNv+WjqFktL/sXTZtA6PsT9wZmiTny4rkPDIisflkh8uYX6Zksw1Iqo7RCQQlzw26BhvW5r5v7Q2DBIYPY0s+eu8/d9wUCTZZ90Dxb/tvG4HdBxGJpGQtZ6cnJWkpateOzsGyutacbmVazXtzb+YvS20cWFvUz0uhanRRJmiiDIpoW0ndztZU9fVUuhf/qnsJ957+z0knRoWWlebgdOh3svVtkTeW1CGxZxGnSv4rfbM9R/wbNl2/3qzIZuG1LuwxRynqbc6I1+z7kRiizlA/a52s8aY0iGF9erW1PxCw44XOadI9YTfPvxpGrY/T6ZlLqCVom/Tqdf/GOOGoOPlJkYGveAJ9LILBAcdDQ1cVP4v/+otPMall0qMGdOFbRIIBIKDlN0ypm6//XYkSerws3btWs0+W7Zs4bjjjuPMM8/k0ksv3esGH/SJEUNQ1OM+evX8DwUFN5GTfQlFRQ8yfNhXfunnHxotzGM0DozU1y/A43FSYrOzqVV5i+7xhM47FIhOZyQh4UiN4EV72trKKa94G7tDUcprbS1l69ZPcLmU8LqmpjVhPWN7itni5IMbPbxyssSzJ+n4va/EO6vf4YM1b5MjbePkWMUjYPXOvTGbUoOO8Vvjcs26w7E9qM6eUGl3srIpzFymmk2hl/eAQM/Ug6eonreje6bw6Bn96VWgeCjzC9R6EuB0y/xVVg8o6nSNcujJ8durleTHJ/RLo3tKlGbbHcPv4Mo+d3Jc6jW0bLoRj0M1biVZMVasFuX7r63JpKUlgb/+mszSrQN5YcmlmGWZxSU1fDd/Bd+t8SADG+hBC0pb1zdqFS13hUyz0t+Pj32dJr1i6Kyq2c78+sDExmG8gY1baan6A4C82GpAJsqoGoPRemXe4ebqFqqb7TS2OdnWqh4rVteGQfIQiZ04qZVIk57ESFOQOAWAy+UKKhMIDgoeeABjg/J/YWW/c6nOHcp//tPFbRIIBIKDlN0SoLj55puZNm1ah3UKCgr8y1u3bmX8+PGMGjWKl19+WVMvLS0tZFJE37ZwmM3mkHl0DmYMhmgyMs4IKs+3Ktfjh5oWkG7kWHkmU3mNTSUv84+tR+H0yCw7sg+0VQTtGxHRndbWjUHleblXsGHjw2Hbsn79v1i//l+MH7eO+X8qCXm3bv2IPn2eZOGiE9HpLIwftyrs/ruDx+PiNPMSKISSHA9PbVeMgccXP87Z8XYuSFRzdUVY8wAwm4Nz9WSaPEFl+4Jzl29ifWsbC47oTZal3Xy3ZwPkult2sDdkJ6hqfsPy1JxK/TJjOWtoNnN/VwyS6CjVsGuSFCPjrJfmU/LIZKVMDv27iNEpRvclo/ODtkWZorhqqJJAumnHEmZvUUVOrC6lXRarYkxVVCjS7g5HJPPXHMcQ4xb6mlewYs12FmyopNJSx/L0QTwm3U03eT0PcAfVnmh2lz5RVrbYnTzeGMmi0e/w6IKrmeAeAa1qCN7gumXQnAFR7e6HZ4dgy9NBugW91EKUsYV/j1bnblmN6j019tFfyE6I4Hz9T4Aagvz0GAOLFi4BYJZ+GJIkhTSm6urqSE5O3u3+CQRdysqV8LSS7xCLhb5f/Zt16XCIPVYFAoGg09gtz1RycjI9e/bs8OObA7VlyxbGjRvHkCFDeOONN9DptKcaOXIkc+bMwelUc8DMmjWLoqIi4uO1SToPV9pPsP9ROgGAhSUfUOt00+T2UGJztMsBpFzngQNeJTNTkR4fPOh9/9bMzPNITzuNvn2fY+DAt8Ke22Yr8y83NC6lrn4hAB5PGy5XS7jddhlZdtPWpnoV88weJGQkr8dhZJQ26bHPM5WUdDSxsUMBSHYpRndPS3CCZKezfq/aZ3N7WNPShluG1c02ZFnG45sb5WlnvFVvCC7bDcwGPXdP7sVlRxVQlBrNKxcO5dRBmVx2VAEuVwsOh2Ks2VpLuGDKFPr27ctCu6oMWe5NLusI824kUnKix0NuYiQejwe3243b7Q4SUchNisDjUD2XUa4owIPFonh2bG2qYZStr/cv9zco3sqitng+dCqhpJukHkrbXFpP2M64PT9No9L3G0ksjOmvqTOyfilPr5uuTdTscYO9GZytGvXH8wbriDQGhPQF3HMtDjfrKxu43vAZJzHLX75o4QL/cqzcjMfjoaZGeYvfs2dP/zZfWWchyx4hfCHYO2QZrrlGTSp/xx2QlycMKYFAINgL9os0us+Qys3N5fHHH2fHDvXNvc/rdN555/Gvf/2LSy65hNtuu42VK1fy9NNP89///nd/NOmgJD9EUlKASlTPXXGrnWi7YkylpJxAv77P+rf1LHqAnkVaaV+93kLv3qqUtdmcjt2+Legcfy44RrO+Zs1t/uXf5vSnf7+XSE6euBu9UbHbt/P7vJFB5f/NVgQV1tiCbXydQQk/m1PxO9esXA1E8MW4y2DTA3QzK4aMuckFcYnY3Q3YbGUYjXF71D6A0oB5Rptb7ZxUugGbx8MPQ4owfNROyGPlp8rnriow7lkemn+OUT26x/RO5ZjeSjhjU9Wf/nKnq56cj4bR7aLZPL6+nspGxVMz5tFfgo63xR3DLGcPzjMvxSS5iZbsbFq1jOe++85fx2q1cuutt/rnHuUlRmqNKWcUZksLOp0Hj0eHwx7Bn84cjjCWkaILNqibzFbKTWoy25X05yfXEACea/mJTRXv8t+iNzu8DtflpvLWVq2Rcm0vreLk58tvULQpfSGE9maYropZ2Kzq/XPhcCfr1qn7Br54uEz/NXcaPwAggZV8jfaeBxjuWaORx+7Zsyc6nY7Vq1fz4YcfhkyQvD/weBwsXHQyRmMCQwa/v/MdBIJQfPAB/Oad41lQALfe2rXtEQgEgkOA/SJAMWvWLDZu3Mjs2bPJysoiPT3d//ERGxvLjz/+SHFxMUOGDOHmm2/m3nvvPSRyTO0rQkk/e9BRFWhM2ez+ZL5Wa25Q/Z0hhZFM3xkr/r5yj/YD2LKl48FgL2uwl6fWo1yLG365wV+2rH6Lpk5sqwurrHhP9laZsKRVVW/7s6GZxY2trGpuUxLGrvs29E5bluzVOUPRulZ7rWwWPXx3G/89e2DI+gud2bTJBha5sgGJRm/o39hcK98FGFIANpuN1lbVa5ObGIHsisHVmoe7LY1IZ6R/vlSrLZrZjsKw87IAVmRp86VNl+7zL+ev+4xKt42kpnp/WWpjLX03vQ2yMvfojNR4dJIU9iWCD/8dW7tZ+bv5V/82tw7sZtUzVVszp12fK3jiDEU10GdI+ejOzlUgExISiIlRc6GVlu5aIu29pbl5LS0tG6ivX7DXXlfB4YmzqQ1uuUUteOYZOMSSEAsEAkFXsF+MqWnTpiHLcshPIP3792fu3Lm0tbVRUVHBbbfdFuaIhyfRhmB1ts85kypUo7TEZqfVm38qYg+MqUCOHr+BxMTxu1jbw7p19+9R2JHbEyw/HY4by63cUG6lvFnxQrhkddK/T+TAR2SbB6tTcbbadpLgOBwlNjtpvyxj2kp1YP1rrZrfquyDS8Lv/Nk/d00mvbYY7o+F//YDWx18ejEs/zBkVZu7WrPeatVBWyMju4UWEvn2oYs546KrqJeVOVWmCGXgH1+5KGT9n376ifvvv5/ff/+djQt+Il9Xh630clqLryfKGUW//rMBKJaaKffEhJ2XBeDShf934nRXsdCUxBl//crlv83g8t9mcMrSOTxY/S5J5RcxrOFenuut3L8dJePV4DOmbKrSns2i/c3sqFbC92IanSDLyLKTuMYJXJa7LOhw5/LVTk+ZkJCgURF87733+PDDD2lubu5gr72jpmYuixarip8tLRtZsOAEZv/cjeaWYPXBcMiyzLr1D1BS8r/90UzBAUxrK/yn28uw1evNPfFEmDy5axslEAgEhwidlmdKsGcMjNbKZn8hnaXxTG1qafIbDnvimcrPvxaAtNRTkCQdERF5u7xvxZZ3aGpaudvndDqCJ/OHQ0YCJMqbglUbNzVpDY0Im5uIFsWj1LqHxtQNa8qCyto8qoFUHGhMjLhCW7FpqzrA74gvr1H+NpTBq8fAys/gi8tDVrU5tCItNqsedIrBcMskrRT5Hcf3RJIkCpLVeUrmyBg6YunSpYBiVG1ev5axps3gvebZEarRW+uWMMSsoLkDY8phMIbddleiiSin0i7J+8liG7kuFxKwpakCt0eZx5FpDu+ZurbsXXXFd63rVMPXZg0tD290yhBgBB2d9XJQHT07n/cWGRlJ377aXGdr165l1qxZYfbYe5Ytn6ZZLy17heYWJXbx77+v2eXjtLSsp6LiLTZtfgK3e9dfaAgOfp69u4qrd6ie4h+OfGBv0+MJBAKBwIswpg5wPh7YjZ+G9tCULZOG+Jc3t7b4xSIiInbfmEpPP4NhQ7+gZ89/A1qDLDKyx04NNLtdHexXbZ9JQ8NfQXVaW4vZsuUDPB4XFRXvsa3yMwASE8cxaODbREQEq8wBJPZ8lUv6Kp6gJxY/QauzVROW+Me2+Zr6Vpsba4UizW+r+Blad91oA2i1NfNnQ8fiGsUWdW4OxzwI/9fOM9CwC1L9FQvV5ZqA/QMFFQBsdf4ExJEtikeuIt1CjX472ypnMCbpGWJMatJq37yr+IgAo8YQbJj84x//wGq1asqMRhvp6evQ6x08emoPxmbNJdWqXgunDJKhyWvcBmPX2Wm0hE4+fKd8H7JZ7zemDDg5o4+ZC/mMVJcbIxJOj5OqVuVeMugklozszTGJqiF44o5fmbnuHm4teR2A2lgj1Y41ikEVYMD6xCciW7SiJO1b3RLZbrroKS8AcDVvhuwDwAUXXIAkSWRmZgYpjlZXV4fZa+9oawuez1hd/ZN/OZRiZ/hjqTL1lZUz9qpdgoOHsjLIfPpW4qkH4C0u5NFZgzreSSAQCAS7jDCmDnBiDHr6RkcwKi60Ktp2lwkHyoDZZAqWDd8ZkqQjJqY/er3icQgMFUxLPYmkpKM73N/nFWttLWXlymtZ8fdVQXUWLjqFtevuZt26e1i3/l5/eUH+DSQkHBk2tHBgxnjyYvMAkJF5dNGjyAH5hapaq2gLcCZYbW4ibMogutVTp3qAdpEn/5i50zrFVq8xFZOlGCpRKXDcI2qFXfFMhePF0dr1b270iykk1imqlw6znmWFsHr1zezY8S23j3gTgDGFSeh1iskQGIaWn52uOWRaWhqDBg3iyCOP1JT37DWX7oULyS9YQt+YGVzY+xO6FSzzb9/i0KEzhA9lq4jcQkOEco/+IyVOs60HaylyJRDpUoytI1lC37GnYMaJHsgyxgJQ1qR6BTMtJsYmqOqB/9j+M4Mr52CU3XiOuIKlA2JZ3jcW+wuDNdfcZlGuV0KdOucNIK7BSXy7Mg29ToL4fJKoC1slJyfHvzxkyJCw9fYlfy2dss+OFRj6unbdXUIZ8DBh4Wt/c77nbQBqied23WM8/bTGUSsQCASCvWC/qPkJ9j0v9M5lwB/a/E5WuQWbFMl2UsmiXDOI3lMCPVEWazZZWRdiNMbjcjURHzcCm62U9Rse9NfxhdO1eN+QOxw7cDrr/Up6NlsFbrcyCN+67eOQ5yrIv4G2tq0YDFGkp53K6jW306vXdAByotUB7GcbFI9WgiWB2jbF6/RElYVr0y0M73EzpjlXopMV68pp0uHaOBODHBDeJctQVwIGM7TWQGpfzYjiC1cC7ESYrcSayQ5jPNYLvsZv3g77J3x/u7JcuxmPx47DUYPH48RqzVG+F49b8VrFZIK7g0E9KFLrtnrca77APlpRMUzodRVlTW8EVU21buS2YxI4ffgATfnX14zm943VXDQ6j2fXL6CxUfFgJSQkaP76iIvz5XjbRE21dpDd6oFlNj1HFMmMK4ohO+sovv3ma9bHrkeHjjZ9GyYy/WF+/+mRxZfb6/37G3GRrTNT4fVMJSQkYouOxnz5r+g2/kyOfRPFW+ZS1ljGEelH+PcLFGDJt6liI20JqeC162xWPeZab5jf5CdobXkPPGVEN2sT6kpVDvpUtbF4ZC5t3p3bJHjTeSJjxx5DlKOejPh89HXFXHBEGrWJQ4iKisJut6PT6TAYDBiNqsdv8ODBfPutKkRis9mCvhsfbrebxsbGXU75YLdX0da2FbM5TWMA6XQmPB7tvSNJJmTZjSSp4Y3VtmoiDBFEGLUhwrW18zTrTmcNJlMSgkMYWeaMxbf7Vx/ibs64KoV2kaoCgUAg2AuEZ+ogIdUcPB8lDSUEKFAqfW+xBISxmUxJGAxR5OddTWH320lKGk929jRNfZ+SoO8vqAZWXf0i/pg/Nuy5jEYljMtgiKR/v+fp3es/xMcfwZGjfiUhXpFOz47ODtpvSOoQLHpFhWqHS0dF/DQys85TjuWWMToUg8pm0cHi19UdV30OzwyEJ3spXqB5T2mO2yaFn/PjY3NENv1GzWDCxoA5J3ojnPC4slxbzIq/r2beH2OY/+fRlJa+pJR/fwc8PQAe3Mngddn78NxQeG2iX0zB4PQQO+j6sLv0kM4n2qCVE++XFcuV47phNOg54YQT/OU+IyoqKnz+J6dLa4i8t+EYZCQa20q4aNGJOFc/xU9ZP1EWXUZJdAmVEZUs6XmDv36Ux0le9VbNMWJMbUQ6Fc+UZVB//pg/ljW178KYm8mOUYzq9vPiMgPu+bw21ZhqjVQtXptFD/ZGQIKB52MzKZ5Ja5sa5vdXi57JWZlskgyMnFPiL/92WBKPuM5jSVo8J3x+Ak9blH53M1QybNgwevXqxcCBA+nfvz+9e/fWtE2v1zNs2DD/en19PW53cL4zgJkzZ/L000/vkvKf3V7F7/NGsXjJGcz7Q+upHDjw7aD6suygra3Sv17XVscJn5/AtO+naerV1MyhuuZnTdmezisUHETMnKl8ANLTOenbK7nnnq5tkkAgEBxqCGPqIOLzgar09H2ZLaSiDKKqSGPggDf3yTl0OgN5eVeTnHwc8XHDQ9YZNPAd/7JvQBY4MPMZVqUdqIYV5N+4S+1JsiaRZNUaILkxuWTHqEaW33t10tMAaqifVQ/f3qTu+F07tcif7tesRnlVBvs2beDY6nncXvwqH/VVjt27bQumAK9AaZuDRlfA4DnBO++rdjM1NWrep02bvTm9Fr60884CzFAl531iClZdPAZDdLg9ANix44ew2wK9UL7lrKwskpKU65qbqw0FdDi088aqmpRrUNGyDQ9QVr/Jv+3KAVcSadSKXNSXrWbUxpWkNezg7C1fABBvchLhVjwlTdYVAFRWzQAgJ0Y5flmjVvyjZ6SFM1LjuTw1iii36vnxGUygzpEiJhOPXvLPC4qwuem7upFym8RXDYpR9n5MtOYfXpwFzhiSxSurnwTgDa8q5q6Gao4dO5bcXMUQ9Hg8fu9fe8rKlH6Vl+98Pl1NzW8hy3v2/DdxsYOJiFDmxel0JixmJXGzzdduYF3dOmwuG2tq12Bzqdds0+Yng44Z+AJEcAgiy3CvGlbNU08x/gQrKbsfDS4QCASCDhBhfgcRo+KjqBw/EIDmlg0sq/AZU+kkJo7ZZ+fpVnBTh9sTEkYx+sj5/D5vJG1t5fz11xTq6pXksq9xOT+vyeGi+vVMrJ0Tcv8+vZ8kLe0fu9QWSZJ45ZhXOPUrVRo6JzqHnOgcNtQp4g2+wThDpsGQaVhX3UxD1QxKs61syo+kT8NSSkpfgG4y/VcEixEAOJ0OKrwhT++svJ10h1dQQHcjleMGwPQTGdv/GdZFqsl1z1u2nhsbTwRgaOHTxAKbLcXQTrK99o3BaIPqvBz7EPx4NwCVvfuxKilYbAAgIm10yPJANmx8GIezlu7d/i9oW2B4mU94QqfTcfwJTkpK3tHUlSQZo1ErpvBU23tMlYy0yS526PWUuVuBKK4bdB0Dc8/jgbpRmvoVG1YQY2/lmFXfsCNLkWRPiGjmqKMUJb6GAJtDlt1+Y9g3Z+rOuXdS1VrFS8e8pMilyzKYY8DeiMNqZX35M/79S3IjKMmNANoY3LAMkNHLeoxOGVu9hyeqtUIb7fnFNgWHrN4Rp2ek8UbtJjrWQFSIiorioosu4vnnn2fHjh3U1tb6r/WaNWv48ccfOe2006itVUJSa2tr+fnnn1m3bh3Tpk0LEgEBcLlDC6BkZpwNwMgjVNXA5csvpc2+lVZbKQkoc+ACDdLypnJ6xHvFa2R1cmFi4lhqan4TnqlDna++gr+8gkCDBsGZZ3ZtewQCgeAQRXimDlIirHl+z1SjNbQHaX9iMiWj0ymDQZ8hJQM/S8cC8Ma21nC77raEe1Z0lmY9OzpbM5eqfSigT969KdqIzapnyV/nUV09m+o4sJva3fLeSfgV1WW4JT1WdxuprkbwCnJQuxlaqsHRRL5NG7q2uMmOx/sTWlWuhPkV5wUr2q3Iqg/u1Pi7od9ZYIqGoslhDSkAa6Ti9crPuy5sHYDS0hdClhuNRnJzc4mIiCA/X1VOLCl5rsPjAUgeGOCpIEOveJXKjAbKjco7mOyYbC5bVaKpP3H1IjauXqa0111LhWwHwGQKLcXd1lbp/y4rmipocbbw9eavWVi5kLW1a72NkPyev7L88GGS69bfDyi/DQl4IiFOs73Bmwfr7wC1+USDdn7YerOJGfZtu5YvzIvP2+czmgA++ugj6urqePPNN/3hf7W1tSxZsoSqqipKSkpCHitUfrRwAi1Wr3pn4D4aY6oxwBMWMDcwPm5E2HMJDhE8HrhPlULn/vuF4oRAIBDsJ4QxdZCi0xk5fpASQlZJath68+qauHtDBV9vr+dfG7fg8uwbBS9JkjRS7HXEcwnvaeq0ENF+N2D3JdwtBgupEWofc2Jy/GF+EYYIEi3aBLbtjTVZVsPzNuW3a9O8p2HOYxRXK3Nycp016G4rhsJjlO0B0tt5nuAwrie4jR0kY2srZ0Xv0KF4bn27QUxsNtV9h7Gh8jU8N6+iefK9Iffz4VNYLCi4nrHd3mDsvBrG/h5airus7HXKyoOFKqZOncoN49OwLFJCLz0ee4fntNmiaGt9iHHe8+ToFcO53GCgzCs0kROdwza7U7Nf9x1bWNmseGcKU3P54qwf8XjC/5ux2UpIj0pHJ+loc7fx+OLH/duqWlSrx5aUwdwjEihNCi/00NKyHgBrTBHcsYUd2YM128vjlHDG35oNVDqV7yTZEJxbqll2QcuOsOdpTyhjykfgPKrKykpaWlrC1oXQoXcD+r+iWf+l7Bf6vdWP/65QPH1lZa+ycOPLvDfnJDbWqnnffJ6+xqaV/nxwQ4d+7k9FUFX1tT+tguDQQZah+tUZsHy5UjBkCJx0Upe2SSAQCA5lhDF1ENPNK0W9pc2B3RM64ejpyzbxakU1l64q4YXyHXyxPbz08+4SaLS8ypXYJYtm+/YwwhgGQ9xun8sXymfRW0i2JtMzvicARQlFQSqGHSUerky14A6863+6D35+iOJyRSkxn1YwR0FiN2V77WaoVeYI5RtctGeZNJT/oYhD7EgKn9BWQ0wGy5dfQln5a1TW/MCSZed0WN0aYHwakvticMsYPJC1Jdiw2LDxYTZseAi7XWsM6GQ3pm+vhdn/gu1rsdkqOjynx6MnKybG/w8iR1a8UWvMJmoMyjyl9h7BUduWadYTktOIjkhEpwufDLfVVopBZ8DjDUP7dP2n/m2BUukrE0pxtPcqhsFqzVW+Q0mbwLfc3YIbqDAYqHAox0oyBL9cqNHrdkvi3mdM1dQoIiDhJMfb2gKSIIcxpnyhd3l5iqy/Xh8VdH9f94vioax2qdejqew/pLlWk2hTc6/5rt+iRWpIbWREN83vdsXfV3fUNcFByFczPGy7/H614F//El4pgUAg2I8IY+ogJtlkIFKvU0QBbMFy26EGdZtbO/ZI7A6BOakCEwn7qCSNjPSz6N/vJY4cNZfcnMs5YsQPeyTh7gsFy47JRpIk+iX344WJL/CfMf8JqruzMELbGc9A/lharTo25UXQZtaxpkUJs8szeqivX0xLrHfWTKBnyhraWFov9WIRw6kjzl/WP3YqvXqpbVvdI4odiSaqE4x4AnJltbRuxuVq8q+nV7aRXqNHp1MV6wKvMxEJ8M/ZcOkvdC9uod+qRnqvU/f399FWCmV/wo71YG+GP5UQQBmorvyWhoalQfvk59+gWU/Y8ad/OadeuT5/WBWDOUEyEmGMwuj9LqdumcF5G7/T7p+eQygy0s8iOroPAOXlb/nv0ySDhz4WF30tLo6IdPH3pv/hcjuwu+00yts1x8jOmhby2AAmYzwN9gZW1SgG8q3DbsUgGXB4XKycPJ02nY5ql+Q/Z3vKjIY9MqZKSkrYuHEjTU3q92Ew2MnJWUFUlFZtsba2VlHYq/6FzZuforV1C4uXPOYPvVu/LpVu3Z7hiBHaa2p3q7/fHc7g31GOSe1PeWM5Vdu1udMMhiisVvV7aW5ejdu97/4nCLoWWYbf/u9r+qEkAF/IcO5feMJO9hIIBALB3iAEKA5iJEki32pmZbONYpudwkitZ6jOFSzV3OIO7yXYXXZmtFSRTnbOxURFFgLQvfute3yuXK98dl5Mnr9sdGZoYQajNwlsOGzJGUQldmN+tjLYLsmJYCXK8bOsMkv+Uib7TwBlUG1WwvdyYuLBG9V2YUYib29VB8hPSbeRKm/jSRSPQvLXTyDfW8eaNYqC4LY0C9vSlO8n16VKfnvc2rlEvdc3Q94g0ife7U/YajRqwxjJGgqA3gMpNYoRXR1vYnuKauzZqv8i7t1blJX+58CKD5V2pJpZU/0/8EYJpiQfz/YdyoA9Oqqnf/+mpiQS1qvhZTmNVRCRQpk311K2rGNLmwOnLGOSZP698WkWMYCV9PLvk5ClfO+yJx9Jp+SCSkt7gF69plBe8Q5NTatobd1I1fZvKIov4sqo9gZeLd8uv4NiOZt+7bakp59OecWbAMQ0umiMUf+VWSxZXDNbTdh8fP7xfLTuI0obS5nnvfQeQxJQSZJB5qweZ1HeVM78bYpXp9xg3CNjyuFw8O677zJ2rJoOoF//WURF1ZGbt5x5v5+Lx2Pw1l3GsuUP+OsVlzyrOeaCBetYsEDi/vsna8q3NKkS8XXujl9KSLa1rFx5bVC5Xq8Vvti8+QkKC+/s8FiCg4Nvv5E5e/O//esPcA/nFQmvlEAgEOxPhGfqICfPqngwSmx2WlxubAHGUkkIL1SJbd+8hXbLMnZTLjKKt8OAGgI3RlakwbeSic6URUuY/Du7w8ndTubsorO5tN+lu1S/T+//ht3W3LwWV3ympqwKZT5NskVVU3MaJKgrhW3K3IP8xAzuKkjnsaIscszBP50qSTnG0KX1AEjtwt58lBrW+Zcbm/72L/ff6B30JBQQFzeCvLyr6dP7v+E9eed+BEdcDal9iWjTXuPWHYvUFa8hBfgNOh/WiFz69X2e3JzLSEqawLChX2AwTCQ/5nQiUcMIs9vlnsqxNbOuRTEEc2lDj4ehpmJNnejMIuVv9I04HBaqq7PJzlLUDwO9bVVVX/PEmH8Tiubq73h95atB5U5dHAMGvk+6ri9FaTeRnnYaAElJE0lOPoZlO5b56yZaEv0hiT+V/QSA2aKs51qtXDf4Oh448gGOzj5auUYGPY6ajSHbE4qYmBh0OvV++PPPPwEPkuQmKkoNq7Va1Tl3Zss6Okb5zl0uFy7vtfd4PCyrVPvlQWJes/Z9WIRO8fKZJJl0SRvqOXiQOqexRw9VnKCs/LWdtEVwsOD6YTYjWAjAcvqzoXAyZ5/dxY0SCASCQxzhmTrIyfeGnj1RUsW9GxW1uVVH9iXRZKA4hOEUqmxP6Dn3b5rcVsZyFS4MuLy30mvyeSxlCHMZzzxpLAW/K4PGmUMKGRwTrHS3qyRaE7n7iLt3uX5a2smkVdlYuuH/qE1QDM6UJgvbo9vYXPwUEfEXgfdSeNCxHSX5SpqllaYGpdwWacHYYAPfwDqhgGtTFSGMV4tXhzyvHROxTV7D45XxcFTHSXobG5cBYDalkqyPBnZAQgGSJO1Uop6i45TPJ9OwVm/QbLKVfhdmJy0R1lxSUo4jJeU4AGJi+jP2qJfgL61keqbThU6W8XgNu3S7gwv+Voyn3GrFo2ToPo4hq1ewhP4AfgMjKakn3313JkajkegzlfBJqzVgvpUsk2iUCWW+uD0OrkwONibHfjrJv6yXSvn0pE+Z0Psx7+G04a2SJPnDRH1y+rFR3cG2CLPcQpTBTKw5lqfGP8WId4di8zjYUr+JfHYNvV6P0WjEblduKLvdTr/+PxET06ypN3jIt8ydcz4ghZTnD8UTTzyB0Wjk2muv5YE3H4CtEJ0RzcjCkWRHZ/PB6lc5Mko1dFP0OgZZXVyQ6MDZLso3Pv4I/3JW5vmsX/+vXWyF4GDhlNXqS4knTHdy190Sen0HOwgEAoFgrxGeqYMcnzHVEBDSN7O6HoDiEPOoSm0O3Lsh+xyKBqeLJq8H7DdpAvMkNazpiAEvkKFrCNrnwU1bg8r2OwkF/gS+kiyTEPAWf33TDP9yDYm4JSNG2YHBoYaatSa1E9CIz/MvTrRuI0fWemIArIlXadb7rwqdyDVov4hcGHguxOdD0fG7tI+fqFR/P320WkP/tD3tRvFhQzXbhbmZgPSAe0w2qvvFubxGQ3IRR/VMJcFg49iJE/zbs7KySEtLY/DgwX4vW+B5Xe5mWgMSzwYiAz0sqrfVYi3gx0btOyC37OblFS/71+vsqjfohsE3AMFiGRkxPdDrFQEXW5siIS5JEjmRinexvGnLbsmjB6LTuYiLq0KnC84ZZTS2odPpMJlD55MCWLP6KP+yzWajsbGRrVu30lbVhl7Wk9SmJLI+v/f5tHqg3KF+qQa9m6lJDnQSBDpPC9rNh5MkHXGxw7zt1XorBQcp8+fDL96E4YWFPF5yBued17VNEggEgsMBYUwd5IQSRfCF+oUK6XPIcpCc9e5S0hZspPlITBzL6Ud+HlTu3EeS7LtFQgFWb/ibpc2DxaWKOjhc6oDbH+JHFXV1c/3lqzKb0ExLMSmy6h6Pk02rL2M6/8dnie9qTtmWcQHo1MF+co2DCXOqSUjoOKmy1ZqrJB2+fhkkF+1OLwEJaztjymbVE+qK26za19TWcDL1PmNqkvqmO9ul3Dd261D+3UsNo/SfR2ck9pwXuO7u/zBqtNpfs9nMFVdcwfHHq0aiJOkYOuQzAOrrF/L331oj1EeWSduLK9ZXMrPBFFTPJaveGV+updSIVC7pdwkAkUatVzQnJtcv0e+TI/d47Fwct4mnsltxDpSY/Ut3Wr+auttGlcXSHHab1dpEYaGepKTQaooLF5xKVtY/KCrS3gNXfX0VES7l/otyKUZgkjWJY3KP5YkqK4+u7U5bW2jP7zLDWE6e8zL93urnl5u3u+28XR/n7XcbTueuGf2CA5jp09Xl228nJV2PQcSeCAQCwX5HGFMHOfkRwQPLMq+xEy6kb2/nTRWHUQT8Z5YS0hZrDH6C7zvZi90gIoHYRmWQHdvoJGb4HSGrVXol3NOopH1Lq3yiDqmqBEJN7Rz/ckpEKmkmVVCi2OaAE5/SnmDSdPJyr+y4qbuZyFjD4AsxOWWMDrXtLoMOl0HrhnIaJJxG7U/ebEoJfUyfMZVQAMc8CECOU7mWjcnXa6peskUxiuh72m41e3fzjf3QEH5k2OZShTzKmxRPk09OH+DIzCM19bNjsv3eMZ+C3vbt32NG+6JgjfsX2LGz+U1wwgmqYprFEqyu6CMp2UNyyntht9vtEQwfPtwvauEjpS3FHxwY6YzktELlWl/Y+0IABkYNxGAI/ZLjm/IF/uUnlzwJwMzNM/m5Yh4NXhvcFsYzKDhIWL8evv5aWc7KgvPP79r2CAQCwWGEMKYOclIDBvI+ilu1xtTMwYUsPKIXExKU+Sq3r69gaWPrHp3vj7pm7t8YHLJnkiT+1T0zxB4KfzW2hjXC9huSROxVmxiV8wS9xn+PsddpFBU9qKnSO/8upKSLAEilMugQa3pEUZJtxTntM39ZaelL/mWD3spvw4uYku6Vx7bZYdD5cMU8uOg7uHwOHHEl8fEjGDXyF/9+kZE9NOcxGuP3vJ+pvZGuW8bIxXWMnl+D2a6MkMsytapt5WfcErSrFCo/2fa1ULlCWU4ogJHXwGW/kTMyeA7X2ZXfMXjC9XD9CjU31y5iMMSh02k9q/EppzJsxK+MPvJPjO0Mve8bg+91H3O3zOXRRY8iy7I/v5JvnhRASkQK5/dSB5hZUVl+A3Zz8TPs2PETDmdw7qfmCD00eL1I5Ytg/vMQcM1aWjZRUvIiffr0oOhExZtktWqNqczM80mIV4y5ESPykST1d2BrvZ3f505h2dLjmP/HWVx//Y1kZGQEGVOpNjVpdd+IvhQlKOcamDKQF/q/QGxFLB53aGOz1qUa1TOLZ/JX1V/c+4eSKPrdGjO9B35AZOTuekMFBxTPP68uX389mIJfsgkEAoFg/yCMqYMcXQiltxKbnQani1qnMqguirSQYzX7vVgbW+0cv2T9Hp3vtGUbqXQEhwmOT4xGH9CW/lHWoDon7OE59wprHNbup6BLUzxLcbFDNZsjEoewVVI8aqlsC95fktiUH8mG4icAaG5eT0PDEv/mmJj+xBoNDI9VQq+KbXYlQWZaX8gdBekD/AkzrdYcdDrlumRmnkdy0jH+40QFyJLvEQn5GCMyMDtlJG9UWkluBJ4iRVjC0+M4ire+rtnFYnPD4tfbHwn+N0JdjssFnQ4yBtI9fQiypDV+xtYthn5nQfzue9YkSUJql1g3L+NUYiKzMZuTMRrUsDWbLgF5J7IN76x+h1mls/xhfoGeKYDx2eP9yya9Cas1DwC3u5kVf1+OzVYe+sA+L91rE+GHO2HNl/5NixafxqbNj7F03cP8e5USEmlpZ0xFWHNJSFTmQTkcWzTbFi/egizraGpKRqeLJj5eMarbG1MWtzqvqam+CY/XoHM6nfz05U84HA62bw8tmeFpd92mfj/Vv7zBrqdWjkSv38WE04IDjuriJnjjDWXFaoWLL+7aBgkEAsFhhjCmDkHK2hxs8nqBUkwGIg3KgLX9/CrPLswFkWWZFU2ttLo9/FGnnQsSGN7W/thv9y/gwe6Z3Nstw19W53LjCOUJ6UQCE5aCMtDd7PXkBXqm2nuOtu/4AVBDwgAMhmj/XKh8r0T9ztQSRwz/mqKiB8nMOJdevaaTlnYKPQrvJTZ24J51KJCLf4CiEyBCVRBsm3QXHP8Y9uNUJUSj00PRhmYGr2iAsvkdH9OoDuJHZozk0iH3aDbn2SpAv28mZnTvfjsJCWo4XqAqX32CagAck3sMn5/8ObcMvYWbh9ysOca3m79Vw/yitd/18PThPDz6YT48UZGKbz9frKLiraA2uYw6Krd+wo6lj6jiHVuXUW2rZv22H3G7ld9EY71yHX/K+Al9pDZBr9Wa4/eCbd/+rb/87xUTNfWuvFINBW1vTGna5HKxfPlyqqqqqK+v95eXlvYPu09HlDeGMSIFBzw2G/y77/vgTRQtnzcFOrh3BAKBQLDvEcbUIUBfrxfIopMw6yScssy8emWQlx9g5OS3M3iqQniY2vNZVR3HLl5PwZwVnLZMK149PjE67LHTzEYuzU7mqhxtqNbdG7Rv5jsbvV6rXKY3xFLaphhAaQHGVG7OP0Pu39amtj8v7xq/Ol1+hNL/LW1O7B0YjBER+WRlnodOZ8BojKdP7yfIzp4atv5uEZcN535AVMIQf5FNrocRl9GKqrAY0+gia1sbVrsH2stUuMIbgzpJR2HKWE1Znm3vVBqjo/r4l3NztDnEoqJUgzYxWg0hfHLckxTGF3JhnwuZ1neaZp+fy3/m72old1d7BT9Q8pX1SVTOGW6emsc1nFsrVM/qqtjNrKh7hTU9FO8jLjtXf3Ms5WtU48fhUX5LDeYG9JHacEGzOTVINdHpNFFfn64p83mlQMld1RFffvklL7zwAhs3qr9Jj8dIY6NWir/aG+KXFZUV9li+sEjBwcenn8ic36qGHZ/5y1W07lkEt0AgEAj2EGFMHQK80DuXYxNj+HxQd3Isiodkdo2izpXXgTG1eRfmMD1ZUhV227iE8MZUIC/2VgeSb2+tCVuvs+hZ9DAAhd3vYpvdid0jY5CgZ9JgAAYNepfU1JPa7SUjy7JGwjsrc4p/OcloIFKvQwbKQkjSdyZFAQlZfe21tZao2zcGeBib2n2/9QED6ymf0Z5Auf3rm/8g4bx3gursDr16PUJS0gSGDP4oaFuPwntJSprIoIFvMzF3IpMLJnPPEfcE1Zs+ZnpQGYQ2pgIxmZJDlqf3vACHHBxSWJmqGOINdZsZ1E6xz+VqAWT0yCTovQZq7NFkZk4hOrpvkEfUZNLOLzzrrLM063q9Hnehm+KoYhw6R8B+2rkwCxcu1KyvW3skNTVZ5OXdxUqbnteqld/ly8e+THqk1njz4QuLFBx8/Pr4YgajpHNYyDAaCgYREdHFjRIIBILDDGFMHQIURlp4u38Bg2Mi/UbN4kYlj40v/Awgy6KdwH/6sk08WxreWNoZA6PVp3aeNfyE51NSteIKM6rqwtTsHDIzz2HC0ZvIybmYoxcpSm2pJiOD+j/HhKM3kRA/Ep3ORF6uKtftdrewcNFJVFQoxkPPoofR61XvhSRJ/mu/rxIj7ykWSwY52Yok+Pr1/2LBwhNZt14xsLKTT/d6pLyU/QErPlHXffODUvtBoTYMDVQlyBtzU7njpKugYNxetTUiIo8B/V8mLm5o0DaLJZ0B/V8iIeFIjDojj4x5hLOKzgqqd2LBiTww6gFNWbI1mQhjx6NKKcR8Q4C81CNDlvsobd7IsEitFH2EXM9T2TZuTWtD5z1shflIehY9gCRJQR7RlJS+DBo0yL/eu3dvzfYrfrqCGa4Z/JX8F01GdQ5Wfr52XlRdnfa3JEmprF41nq++bODVajPbnDoiDBFkR2fzzNHP+OuNyRzDY0cpSY59YZGCg4uqKhi7VvVKvcTlXHFFFzZIIBAIDlOEMXWI4RvQu7wvxwM9UyadjuOStOFDD28OIboQgBwyWxGcl55AlsVE/ygr/aKsZFk6Vo86PcCgumJ1aQc1O48Wt9uf7LjG6Qranpk1BYMhzr/e3LzGvxwqP5PPoNxb6fl9gTUiz78c2O6I2D7BlT8PCGn0S6KHFjPwKTL6whoPFI7OOVqzvjOvlI/8vOs060ZjAlHmWHSSji/rg9UDXXqJyshg1T8fqUb191LWzkhJTp7kX7ZYMhk9ejRms5lRo0Zp6rk9buZtmedfbzEoL0b0ej15eXlhzz1u3DhsNhsADQ0NPHDEA1j0Fh4bqxhNgdck3hJPdoyyXtp4YPweBbtHaoyNCywfA9Csi+bXlLM5+eQubpRAIBAchghj6hAjr90gt/2g942++dwXIAoBkPbLMp4sCZYFl2WZKkewkXFjbipP9sxBL0l8P7QHPwztoVHyC8VzvXI63N4V/HuTakhG6vVB2y3mNMaMXkBMzICgbaHm2/gM2c1dHOYHYDIm8y5TmcUkbbklNcweXgLzS4XA53XrKKyzK4g1x/Lw6If96+2V/MJRUHA9A/q/4l8/YsR3AMw8bSa/NBm5qdyKaXEzBqfizZs7MgF9unqvvF4d/iVC+7lI/fo+51+WJAOJiYnceuutHHvssZp6Va1ab/GRhYqnLCEhgYgwMVxTpkxh3Lhx6HTqv/SYihjmnzefo7IUJcH2iYt9xlVNWw0tzpaw/RAcoHz3HZJXeCJq6hn8sSIKY/jsAQKBQCDYTwhj6hAjv124XV47j5EkSXQL4VV4tLgySDhhh8NFqztYTOG45Fj/sk6SQsqzt6d9SJW8C0qC+xNZlnltS7V//frc0MlrFaGIYHUsszktqMxnYJR0dj6tEGyQevCddDJvSpfhCfiZx8T0h5yRwTv4vo8OjKk2t4etdkVooaOwzq4iLybPv9xeya8joqPVhMxGYyIAaRHK9+tB4qrUFFzeZMcenfY+LnXo2O4Mvv9/bTIEhc9Jks5/3yQnTQAUb1N72hthfQv6ApCenk52dmiPW3q6Mh9q/HhV/n3u3LkYdFqlxe5x3QGYXDCZGFMM8WbFYyxC/Q5CPvxQXT7nHFJ38p5EIBAIBPsHYUwdYgR6DBKMemKNwbLV4bwK0/4upi4g3O2jSiWcKUqv45EeWcwcUsjMIYUMiN6zGc6LR6rzQm5YW06Ly91B7f3L9nYet0uyQosRhEOSgn86vpDKX+uauGZ1KSuauk5W64satX01KAZCTs6lWCwZcO6HSkLhm9TwPzb9rPztwJj6Zkc9Msr9kBTivupqAg2o5Ihd/z7N5mSGD/+WUSN/8xv9ep3WyJGk4P7+1mSgwa3jv1UWVtm098PX9Ua2tWzD4dZ6KYcN+5KhQz5TjNowvL3qbf/yh5M/ZHi/4UybNo0TTjiBhIQELr/8ci69VFU+HD16NFFRitJg+5DB1nbSbm9MeoO3j3+bURlKvduH385zRz9HZlT4hNuHI/fff783D5r66dlzL3PB7UsaG+Gbb5TlpCQ4+uiO6wsEAoFgvyGMqUOMTLMJg/dFeTijKSeMV+GX2iauX6O8Fbd7PP75VAVWM9MykxgcE8ngmMiQ++4KgfOqPqqs5b6NeyervTcEikQclxTTYZhiXOxgzbpeH/oa+JIiA3zqlZTvCrbZHby7TVVNrELxWqSkHK8UWOOUhMIxAeGe754Gbqeq5tfOmJJlmWu894ZMePGGriTWrHpMd3XOlI/oqJ5YreHlw+MTJwSVrbApBpdNlviqXv3u09PPwGSIwCN72NKsTQVgNiV1mFNsTc0a5m6ZC8D5vc6nT1IfJEkiLy8Pi8XiPX46GRnqdxc4yNfr9RQUqN9de4GKOEscg1JU4YsTCk5gbPZYok3RCLT06dOHbdu2+T+///57VzdJ5Z13lCRTAGedBYYD7+WGQCAQHC4IY+oQw6CTyLEoRlQ4Y8qs02nkygP50Sup3hny3u9uq6FxP3in6pwuNrfaNV42ALcss8ObWyvQmHqsqOOBd3b2JSQlTSAmZhBZWVMZOuTTkPVSTUas7cLAduxCLq99zYomm2Z9A4VA+LxKfqo3gMcFBgtEqzLasiyzpqXNv+7wdG2IZjgkSeK5o5/j5iE3Mzhl8M532Amfn/y5f7kmSjuv6bcmA2dubSDOHMcJ+SdgCAj7NBhi/F4yX/ic2+OmpKGEFmcLdW3h1SxX16z2LydZk8LWkySJc845h2OPPZasLK0ReOqpp/qXt2xRjbm2tjZqa2u7PMT2YMFgMJCWlub/JCWF/z46nY8/Vpcvu6zr2iEQCAQCxOusQ5A8q4nNNrtGya89p6TGM2N7Hd9XN4bcHmhsZO5EqW93iNLraA6Yh9Vj7t9sGtOPSEPw3JE9odrhou+8lf71v4/sQ7JJmZV909pyPq6s5adhRZR4jcWpGYn+7eHQ680M6P/yTs+tkySiDHpsASGER/y5hk1HhQ/p2tc4PB6m/l2sKftUOo8x8m8YjXHBO0QkQat37tjmX5S/8fkQIGTwztYabl1f4V/vEXlgiU8EMjZ7LGOzx+684i5QGF9Iz4SerK1dy41z7+GxnCiMspJf6ot6E383NjPl0k8gWjGkZv+sJBY2GePJiclhXd06fw6nW+fcyo+lPwJg0Bn45tRvQobW1dvr/csx5o4T94YLO4uOjmbQoEEsXbqUmTNn0qdPH8xmM4888gighAVOnBgsey/QsmHDBjIyMrBYLIwcOZLp06eTkxN+Lp7dbsduV/9vNjaG/t+6t9w8pZLH585FAigqgv6d9/9FIBAIBMEIz9QhyAUZifSPsnJSSlyH9f7VPZP+0VauydGKLzg9skbe+/7uGe133WPe6x88F2fZPpxb5EtW7OP76gb/8keVtcjAM6VVnaZK1+L24OpET86mMOIXq+PvCL3DuR+oyxt/Uv62C/ELNKQAnum1Ew/XIYTLoxrGz1Y6KXdIPL894J7xzTEDCrvfSWzMIDIzz/d7pnxiEj5DynfMLzZ8EfJ8gUIQk/Mn73G7Y2JUQ2zDhg1UV6tiKwdUuNoByogRI3jzzTf5/vvveeGFFyguLmbMmDE0NTWF3Wf69OnExsb6P+HEQvaGNWug9f0vkLzexc/1Z1JXf+CF3AoEAsHhhDCmDkGOT47jx2FFFEVaOqyXazXz49Ai7u6WwbZxA/whahVtDoq9npvrclLI3YcGx4i4KDYd1U9TdvqyTUxYtJaKtr0PLWx2a8MGb1lXwXOlVTgClAolVMW9gn2cLynUD2qLfe/7NXNHPWm/LGPE/NV4OgjTKgtzDV+qz8MWQpmR7OHQ51TqDNEcF3MW/8s6GxLyWdfSxtEL13LfRu2cnwsyEukTZQ0+ziGKUad6Lcscep6osrLBHuBFDTCmcnIuYejQTzEaY/zS7GVNZXy8LiAky4tHDvFdoBpf08dM32nS4Y4IVAmcMWMGr776qmb72rVr9/jYhwPHH388Z555Jv3792fSpEnMnDmT+vp6Pv44+Lv0cccdd9DQ0OD/lJfve4XEzz6DM1DDjF+oPoPY2A52EAgEAsF+RxhTAkCZg+ELCyy22f3JWdvnrdoXROr1ROu1t96q5jYeLe44gfCuUBpirtdDm7dRHmBkNLs9fs9UR6GQe8ITPZVBdKBEfck+mH928coSAErbHGzoQHq9OGDbB+28gD8EeOk0JBTwW/xQlsX04s2MUyChgNvWlbO6pY2Xyndoqu7r63Wgc8uwW0KW/yvKq0xZsynkdp8ARnljOQ/++WDQ9va5pHz4wgJ3R9o9FAMGaHOjuVza+YMfBspqC3ZKXFwcPXr0YOPGjWHrmM1mYmJiNJ99zc8f7WAcvwKwge70Oqt/YESuQCAQCLoA8W9Y4Cc/0Jjaz2FwK0f3pXc7z9nHlXUctWAt16wu7dD70hGBc70C+XBbrX/5p5pGmrxempx9OB8MYGJiDKuO7MsfI3oxNCaiwzbtKT4P3tzaJh4t3obbF/JTVcf9mxSFxAszEhmfGMONuWrymbpwYh8JBZRYlfk7FZZUHLE5GuNTU9W4b+a2HSwMSxvGr2f9GlR+WoaSCDfQMxVI+zC/9rTP69Rgb2D6gul+I2tvjanY2Nggg6o9tbW1HW4XqDQ3N7Np0yZ/Pq+uQJbhgcEz0KP87/qUMzjtdBHiJxAIBF2NMKYEfnxeh/Utbf7B9P4ypsw6HZdnByfKXd/axqdVdXy1vX6Pjuub63V1u3lgz5ZtD1nfot/3P4FEkwFJkhgSq0io760x5W5nWPqOd+byTTxZUsWMqjocHg9XrS711xnsNeQmJKpvx7eEC6NMKKDYKwvukfSUR3cL25Y9zTF2MJNoTdSsT8iZoM4rC2NMJUckY9GHD7P1eaB8PLH4Cd5f+z4A0aZojcz7ntKnT58Ot7///vt7fY5Dlf/7v//jt99+o6SkhD/++INTTz0VvV7Pueee22VtkiQYXamG+A1++AxGj+6y5ggEAoHAy343pux2OwMHDkSSJJYtW6bZtmLFCsaMGYPFYiE7O5tHH310fzdH0AG+PEm/1zXjAaw6iVTT/hN8PDMtPuy269aU8WllLc5dFG9wyzK/1Tb5Q+CmZiTyxE4kz/c3PkP07S01mjlbu8uC+hbNeonNrrku72+r5fMqrdy279xDYyMZE68kdA1n1P1lyuKPgNxHxaYkbO3ae2+3DN7tX0Dvw2i+VCDfnfYdx+cdz7Q+03jgyAdUY6pyBbQGe3h0ko6saK1k+czTZnL3iLsBqGmrocWpfq9/bvvTv5wTnbNP8ngVFhZiaJd/6Oqrr/YvB4pSCLRUVFRw7rnnUlRUxFlnnUViYiJ//vknycm7l9x7n1JTA7NnK8v5+Uy6Y7BILyUQCAQHAPvdmLr11ls1CSZ9NDY2cuyxx5Kbm8uSJUt47LHHuP/++3n55Z1LUAv2D74B+KaA+UT7MzmrTpK4ODN07haHN0nss2Wh55a0560t1Zy9XJm/YpIkMi0mpmQkdrhPlqVjSfS9xXc9bR4PT5fuWj9Ccdoy7TyNza12jajFvPpmblirDRsL9Cj6PIAlIYypNc02TlhbS7lVDV9a3thKrVMbEnhFdjITE/f9HJCDhazoLB4d+yg3D72ZGFMMxAUoGr44JuQ+7aXPs6OzObvn2SRYEoBg71RgvX2BJEkcddRR/vV+/fp1rTFwEPHhhx+ydetW7HY7FRUVfPjhh3TrFt5j2yl8/TX4BHbOOENxVQkEAoGgy9mvxtR3333Hjz/+yOOPPx607b333sPhcPD666/Tp08fzjnnHK677jqefPLJ/dkkQQe0FxfY37LhALfmp3F2WkLY7Y8XVwaVybJMq9uDLMt+D02gUEKu1YTeO9CYObhQs+9lWepg8t0QMu37krwAEYonSvbMmGoOMc+pxObQCE2EIjnAo+gTwyi2OfwJW33Xrb2UPMCvtcHyzzoxcNNiDAjha6wIXSVACfDVY1U1PZ+xVNZUhtOjJHUOlGC3Gvad9++II44gKSmJiIgIJk2aBMBJJ53k3+50dn5SacEeMmOGuhyQmFkgEAgEXct+CxKoqqri0ksvZcaMGUREBM+zmD9/PkcddRQmkzrgnDRpEv/5z3+oq6sjPj50CFhnJUY8HMkwGzHrJOzegXZnKLfFGQ083SuHM9PiOWNZsDJaqOC4M5dt4vf6ZgqsZqocTs5L1xpjge0e7J235OPy7GQeKAxOlro/yDRrxS3m1jYxJiF6t44RyptU1mZn406MqUCPYrbFhA5odXvY4XDxxpZqXizfTkGEmVXNbUH7LmlsCSoT7ASXAwza7zvKFOVfHpE+wr+cE53D8h3LeXTRo9w5906eGv8U1TY15C7SqL1n9waTycQ111yjKRs8eDCzZs2ira2Nuro6UlKC5y4KDjDsdpg1S1lOSYERIzquLxAIBIJOY794pmRZZtq0aVxxxRUMHTo0ZJ3KykpSU1M1Zb71yspgb4SPzkiMeLiikySNup1vDlVnMCw2kr5RVsa3MzbiDVr1OFmW+b2+GYDNNjstbg+vVFRrjK64dopzD3uNpwSjnnTz/g3tC8SgkzS5vm5YGzqsqyM2B8iqfzqwG2adhEuG3+vDJw+9q0CrOGbS6ciy+LxTdv5bWoXNI4c0pEA1YPOsJpJNBp7vtXfKcocsJz2tLtcHf7eX97+cFGsK1w26TlOeHaP8z9reuh2Hx8FVs69CRnmBkRqRytQ+U/dfm1EM7YQE5QWEUPQ78JFlcM5bCK3e5OaTJiH00AUCgeDAYbf+I99+++1IktThZ+3atTz77LM0NTVxxx137PMGd0ZixMOZwNC+zgjz82HW6Zg1tAcfDOjGtnEDWHVkX0CR875jfQX3bdzCptY20n9dHnL/cFLeAJdkJbNt3ABWj+7X6eFqXw7q7l+ucbo6qBkan2fqjNR4RsdHk2tRvpMfqkN7ZLeNG8C1ualB5b7vcvNuKAuenZbAilF9OL2DMMzDmiHTIFW5T0Op+mVFZ/HTmT9xaf9LNeXhZM97JvRk1hmzSItM29ctDUIYUwcPK1fCf477xb9e2Ws8e5g5QiAQCAT7gd0K87v55puZNm1ah3UKCgr4+eefmT9/PmazdjA+dOhQpkyZwltvvUVaWhpVVdp5JL71tLTwgwmz2Rx0XMG+o6uMKVBD0yRJIsGoJ9agp8Hl5o0tSgjUtzvqd+k456cHC0/sTyGNjogzqj+xGMPu52hqn+8rP8LE+tbQHqUHumeE7Wee1cRvdbCwIXwI3x356fy3tJI2b5hn/n4WIDkkSCiAqpVhJdJDXb9wxpRZ33nXWxhTBw8//gijnL/61894fjxzb++69ggEAoFAy24ZU8nJybukBvXMM8/w0EMP+de3bt3KpEmT+OijjxjhjfUeOXIkd911F06nE6NRCb2aNWsWRUVFYedLCfY/eRHKoN2skzo1JK49kiSRZzWxvMnmL6to63iyfKrJwMcDu2tC6w4Evh5cyEl/baDJ5UaW5V0eMNc6XXzgTTac7/1e2s9jmz2sCKMk4ZRlenXQb58x9sG24MHzz8OKkIGekRY+317Hupa2kOcShMAnkf7zQ7D5F5j8JMRkwF9vQfpAyBgYtEtOTGhjSi91XkJknzG1ePFiJkyYgNV6eEreHwz8/lMbV/MHAMXk0WdynhDyEwgEggOI/RJ4nZOTQ9++ff2fHj16ANCtWzeyspTcK+eddx4mk4lLLrmEVatW8dFHH/H0009z00037Y8mCXaRHt5Be/cIc5cruGVZdm/OVqbFdMAZUgADoq3oJbB5ZKocux7qd8s6NYTV75lqZ+D0jLTQI9JCnyhrh9+Xzxhrz+TkWHpHWekTZUUvSX7lP+VcnTdn7qDFZ0w5mmD99/DeGbDuO/j6enh5bMhdwiXkHZkxcn+1MgifMQXw7bffdtp5BbuHxwOO3xdgQfFQ/8o4xo/v4kYJBAKBQEOXzWKNjY3lxx9/pLi4mCFDhnDzzTdz7733ctlll3VVkwTAyLgoHirM5PGirhcd0IcxDjLNRk5NiQsqP1Bf1pp0OrLMqgAEKMp6pWHmL7W5PRS32vl2R4O/zGfYBBpTt+enhb1G7QnnZTK2299XL8GoJ9YoMoLulIR28vrbV8Oqz9V1jxuqNypqfzvhor4X7ePGhSfQmFq5cmWnnVewe0gSvH35H/71jelHMXp0FzZIIBAIBEF0ymgpLy/Pn98mkP79+zN37tzOaIJgF9FJEv/MOjASe2aGCTOcN6IXr2+p5ovt9ZryAzksLd9qprTNQbHNzsi4KM5dvokFDS38MqyIXlHaEKtLVpYwu1YrMOGbe5Ud4K27KEzC41DkhvHyZbSTb/cZawfytTygaG9MAfz9ibr819vwzQ3Q93Q443V/sYTkV/ADGJc9DrO+8655ZOS+k18X7D8kCRLXz/evP/zzSMjqwgYJBAKBIAihryo4YLkuhCrdhRmJWPQ6pmYkMiEhhseLsnmjbx5HxUdxd7f0EEc5MPDNRStptSPLMgu8QhCfVNYF1W1vSE3NUAU18q0mzk9P5Mrs5N3yHFn0Oo4IyLl1ckoc4+KjuTZXm2PohORYxsZHc0W2yD20S0Tv5J775gbl78rPNMVvHPcGI9JGcOOQGxmRPoLbh3euooAkSQwYMAAAo9EY8mWX4ABAlmG+15iKjwdvyLxAIBAIDhxEHI/ggCXeaKBy/MCQ2yINet4boHoFjk+O65xG7SEF3jC9Z8q2s7JZFdX4X/l2rs9N8RtGz5VqFS71EjwYkGRYkiQe77lnudVe7JPHwD9WAXBDbiq9o4JFB5JNRj4a2G2Pjn9Ysjv5fjwef/0hqUN4ddKrAFzc9+L90bKdcuKJJ7J8+XKcTietra3CW3UgsmkTVHsTOh9xhMgvJRAIBAcg4j+zQNAJBIbN/VyrTbj7WZXqnXpo8zbNtiyzCdM+GkClmgz0jbKSbzXRPYwghWAPGHUd6HdBrKNp287rdCJGo5GYmBgA6uqCPaSCA4AlS9RlrxKuQCAQCA4shGdKIOgEOsrZ1ez2AIQMtdqXub4kSeL7IT2QAaPuQJXrOAg59kEYfyc8vJNku9/fDme/0zlt2kUuvPBCIiMjhTT6gcqyZery4MFd1gyBQCAQhEd4pgSCTiCnA5nxSruSP6vaGSyb3tF+e4JBJwlDan9gtMLoGzuus+YrcLR2Tnt2kaSkJGFIHaDU1IBnyVK1YNCgrmuMQCAQCMIijCmBoBMw63Q80kMrw3VispJvyCeXXmILls82CcPn4GHcHXDeJzDlU7jwq9B16ko6py32Jlj1BThawtfZ8BPUbOqc9gh2mxtugO2zlgHQZE7k53WZHdYXCAQCQdcgjCmBoJM4IUlN1johIYaLMxUJ+hKvMeUzqkbHRfnr9Yg48JIQC8JgMEOPY6HwGMg9MnSd2s2d05aZt8In0+D7O0Jvr1gM750Oz4rQsQOV8kWVpKEI0vxpH8SateLFikAgEByICGNKIOgkkk3qFEWDDvIjlBC+8jYHTo9McatiTOVHmPl4QDeuyk7h3PTEkMcSHODoDXDS08ryuR+q5duWQ1tD6H0CCawjy9C8HVx2xdPUUq14ngDaGqF5h7I9cM7d8veVv3+9pfx12dU6tnpYGZBY2O3c7e4J9i9uN1g2rfKvr6A/XiV7gUAgEBxgCAEKgaCTkCT1zXKi0UCqyYhVJ2HzyFS0OfweqnyrmaMSojkqIbqrmirYFwyZpnwAjroV5jyqfk58CoZeFHq/pe/Bl1fBP/4Hg6bArHvgj2eD6039Bt46UV0f9k+Y/ERwPY8bHvLmDUsshJoN2u31ZZAo5PAPJMrKIM+lfk/rKOLCoi5skEAgEAjCIjxTAkEn8u/CTHpEWLg5Lw2dJJHrVesrttkp9s6Zyt/HohOCA4CEAu26L5lvKL68Svs3lCEFWkMKYJGStwqPR1veUK4utzekAGqLw7dF0CXk5sJj/1zvXx96TiFJSV3YIIFAIBCERRhTAkEncnFWMnNG9CTTohhMPunz81ZsZlmTovSWtw/l0AUHCNGpu1Zv61Ltegi5/A5ZNSM4n9XTO4kPe+90qFrVcR1Bp6LTQXSlavhe9lghkpgyJRAIBAckwpgSCLqQvBBeqFxhTB16ZA4JLgtlKH08Vbtu281kup9M3TORC0vszusIOpf1Xs9URARkZHRtWwQCgUAQFmFMCQRdSKikvBF68bM85LDEwvGPasuWvAn/7Qtb/lLWW2uhvlRb5+eHdn7scXdq13fFmDr7Xeh/jroeLQbrBxQuF2z2fo/duyuuKoFAIBAckIj/0AJBFxLKmBIcouSN1q5/c4Myn+mV8cr697cH77P4teCyYZdq1/ucAroALaHtq3felqIToM+p6roYrB9YlJYqBhVAYWHXtkUgEAgEHSKeoAJBF5IXoTWm/jyiVxe1RLDfSe0DZ70DphAqjYtegxUfhd83MhmOvB6OvltJDuxHgrhcuPYvtWjBi8rfo26BgedDUpGy71ULoNfJMO1b0OmhxyQ49WW46s990j3BPqSiQl3Oze26dggEAoFgpwhpdIGgC8kwG/3LXwzqLsQnDnV6nwybZishfoF8e5N2vf/ZWuMqazgc84C6bomDtnqIzQKjBeJzIX2AkscqcJ8ex2qPe/Y76rIkwYCz96Izgv2BxwOe8m3qwzk9vSubIxAIBIKdIDxTAkEXopckHirMZFpmEiNiI7u6OYLOoL1Menv6n6PkgwrkhMdCHyMhP/xxd3YewQHJxo1wywWqIuO/38rAKfIqCwQCwQGLMKYEgi7mn1nJPNIjC53QPj482JmRc/x/tEbSqGshNjP0MQKP1f64cTl73kZBl1FZCemoxtS8TekYjR3sIBAIBIIuRRhTAoFA0JkEGj1xIebDWOM6NpIAek5W5l71OD50vahUMIjkzwcj27ZpjSlPqgjzEwgEggMZYUwJBAJBZxKfpy6PvwvurYPodgPmQM9UVIiEv31Pg9vLoOg4tSwmQN78inn7pKmCzqe9MSVlCGNKIBAIDmSEMSUQCASdiSlSVfTLOUKRJR/nlUXvc5ry1xoPOm9sV8bg0MdpL2ee1l9djkzad+0VdCqXXAKjuynGlMtk5YpbY7q4RQKBQCDoCKHmJxAIBJ3NtUugtUZR4QMYdCGk9IbUvmqdG/6GtgaI2UXPRGQSXL1IMdbE/LuDluho4JxTYX0fDJLEyf8Q36VAIBAcyAhjSiAQCDqb6FTl40Ong+zh2jox6btuSPlI7rH3bRN0PQ891NUtEAgEAsEuIsL8BAKBQCAQCAQCgWAPEMaUQCAQCAQCgUAgEOwBwpgSCAQCgSAEzz//PHl5eVgsFkaMGMHChQu7ukkCgUAgOMAQxpRAIBAIBO346KOPuOmmm7jvvvv466+/GDBgAJMmTWL79u1d3TSBQCAQHEAIY0ogEAgEgnY8+eSTXHrppVx00UX07t2bF198kYiICF5//fWubppAIBAIDiCEMSUQCAQCQQAOh4MlS5YwceJEf5lOp2PixInMnz8/5D52u53GxkbNRyAQCASHPsKYEggEAoEggOrqatxuN6mpqZry1NRUKisrQ+4zffp0YmNj/Z/s7OzOaKpAIBAIuhhhTAkEAoFAsJfccccdNDQ0+D/l5eVd3SSBQCAQdAIiaa9AIBAIBAEkJSWh1+upqqrSlFdVVZGWlhZyH7PZjNls7ozmCQQCgeAAQnimBAKBQCAIwGQyMWTIEGbPnu0v83g8zJ49m5EjR3ZhywQCgUBwoHHQe6ZkWQYQk30FAoGgk/H93/X9Hz6UuOmmm5g6dSpDhw5l+PDhPPXUU7S0tHDRRRft0v7i2SQQCARdQ2c/mw56Y6qpqQlATPYVCASCLqKpqYnY2NiubsY+5eyzz2bHjh3ce++9VFZWMnDgQL7//vsgUYpwiGeTQCAQdC2d9WyS5IP8laLH42Hr1q1ER0cjSdJu79/Y2Eh2djbl5eXExMTshxYe2Ij+i/6L/ov+72n/ZVmmqamJjIwMdDoRNR7I3jybxH0p+n849x/ENRD9P7ieTQe9Z0qn05GVlbXXx4mJiTksb1gfov+i/6L/ov97wqHmkdpX7Itnk7gvRf8P5/6DuAai/wfHs0m8ShQIBAKBQCAQCASCPUAYUwKBQCAQCAQCgUCwBxz2xpTZbOa+++47bPODiP6L/ov+i/4frv0/UDncvxfR/8O7/yCugej/wdX/g16AQiAQCAQCgUAgEAi6gsPeMyUQCAQCgUAgEAgEe4IwpgQCgUAgEAgEAoFgDxDGlEAgEAgEAoFAIBDsAcKYEggEAoFAIBAIBII94LA2pp5//nny8vKwWCyMGDGChQsXdnWT9gnTp09n2LBhREdHk5KSwimnnMK6des0ddra2rj66qtJTEwkKiqK008/naqqKk2dsrIyJk+eTEREBCkpKdxyyy24XK7O7Mo+4ZFHHkGSJG644QZ/2aHe/y1btnD++eeTmJiI1WqlX79+LF682L9dlmXuvfde0tPTsVqtTJw4kQ0bNmiOUVtby5QpU4iJiSEuLo5LLrmE5ubmzu7KbuN2u7nnnnvIz8/HarXSrVs3HnzwQQK1dg6l/s+ZM4eTTjqJjIwMJElixowZmu37qq8rVqxgzJgxWCwWsrOzefTRR/d31w5bDsVnk3guaRHPpcPruQTi2XRIP5vkw5QPP/xQNplM8uuvvy6vWrVKvvTSS+W4uDi5qqqqq5u210yaNEl+44035JUrV8rLli2TTzjhBDknJ0dubm7217niiivk7Oxsefbs2fLixYvlI444Qh41apR/u8vlkvv27StPnDhRXrp0qTxz5kw5KSlJvuOOO7qiS3vMwoUL5by8PLl///7y9ddf7y8/lPtfW1sr5+bmytOmTZMXLFggb968Wf7hhx/kjRs3+us88sgjcmxsrDxjxgx5+fLl8sknnyzn5+fLNpvNX+e4446TBwwYIP/555/y3Llz5e7du8vnnntuV3Rpt3j44YflxMRE+ZtvvpGLi4vlTz75RI6KipKffvppf51Dqf8zZ86U77rrLvnzzz+XAfmLL77QbN8XfW1oaJBTU1PlKVOmyCtXrpQ/+OAD2Wq1yi+99FJndfOw4VB9Nonnkop4Lh1+zyVZFs+mQ/nZdNgaU8OHD5evvvpq/7rb7ZYzMjLk6dOnd2Gr9g/bt2+XAfm3336TZVmW6+vrZaPRKH/yySf+OmvWrJEBef78+bIsKz8CnU4nV1ZW+uu88MILckxMjGy32zu3A3tIU1OTXFhYKM+aNUseO3as/6F1qPf/tttuk0ePHh12u8fjkdPS0uTHHnvMX1ZfXy+bzWb5gw8+kGVZllevXi0D8qJFi/x1vvvuO1mSJHnLli37r/H7gMmTJ8sXX3yxpuy0006Tp0yZIsvyod3/9g+sfdXX//3vf3J8fLzm3r/tttvkoqKi/dyjw4/D5dkknkviuRTIofx/2Yd4Nn3hXz/Unk2HZZifw+FgyZIlTJw40V+m0+mYOHEi8+fP78KW7R8aGhoASEhIAGDJkiU4nU5N/3v27ElOTo6///Pnz6dfv36kpqb660yaNInGxkZWrVrVia3fc66++momT56s6Scc+v3/6quvGDp0KGeeeSYpKSkMGjSIV155xb+9uLiYyspKTf9jY2MZMWKEpv9xcXEMHTrUX2fixInodDoWLFjQeZ3ZA0aNGsXs2bNZv349AMuXL+f333/n+OOPBw79/geyr/o6f/58jjrqKEwmk7/OpEmTWLduHXV1dZ3Um0Ofw+nZJJ5L4rl0OD2XQDybAjnUnk2GTjvTAUR1dTVut1vzDwkgNTWVtWvXdlGr9g8ej4cbbriBI488kr59+wJQWVmJyWQiLi5OUzc1NZXKykp/nVDXx7ftQOfDDz/kr7/+YtGiRUHbDvX+b968mRdeeIGbbrqJO++8k0WLFnHddddhMpmYOnWqv/2h+hfY/5SUFM12g8FAQkLCAd//22+/ncbGRnr27Iler8ftdvPwww8zZcoUgEO+/4Hsq75WVlaSn58fdAzftvj4+P3S/sONw+XZJJ5L4rl0uD2XQDybAjnUnk2HpTF1OHH11VezcuVKfv/9965uSqdRXl7O9ddfz6xZs7BYLF3dnE7H4/EwdOhQ/v3vfwMwaNAgVq5cyYsvvsjUqVO7uHX7n48//pj33nuP999/nz59+rBs2TJuuOEGMjIyDov+CwQHOuK5JJ5Lh9tzCcSz6VDmsAzzS0pKQq/XB6nkVFVVkZaW1kWt2vdcc801fPPNN/zyyy9kZWX5y9PS0nA4HNTX12vqB/Y/LS0t5PXxbTuQWbJkCdu3b2fw4MEYDAYMBgO//fYbzzzzDAaDgdTU1EO6/+np6fTu3VtT1qtXL8rKygC1/R3d/2lpaWzfvl2z3eVyUVtbe8D3/5ZbbuH222/nnHPOoV+/flxwwQXceOONTJ8+HTj0+x/Ivurrwfx7OJg4HJ5N4rkknks+DqfnEohnUyCH2rPpsDSmTCYTQ4YMYfbs2f4yj8fD7NmzGTlyZBe2bN8gyzLXXHMNX3zxBT///HOQC3TIkCEYjUZN/9etW0dZWZm//yNHjuTvv//W3MizZs0iJiYm6B/igcaECRP4+++/WbZsmf8zdOhQpkyZ4l8+lPt/5JFHBkkOr1+/ntzcXADy8/NJS0vT9L+xsZEFCxZo+l9fX8+SJUv8dX7++Wc8Hg8jRozohF7sOa2treh02n9ter0ej8cDHPr9D2Rf9XXkyJHMmTMHp9PprzNr1iyKiopEiN8+5FB+NonnknguHc7PJRDPpkAOuWdTp8pdHEB8+OGHstlslt9880159erV8mWXXSbHxcVpVHIOVq688ko5NjZW/vXXX+Vt27b5P62trf46V1xxhZyTkyP//PPP8uLFi+WRI0fKI0eO9G/3SbAee+yx8rJly+Tvv/9eTk5OPigkWEMRqJoky4d2/xcuXCgbDAb54Ycfljds2CC/9957ckREhPzuu+/66zzyyCNyXFyc/OWXX8orVqyQ//GPf4SUJB00aJC8YMEC+ffff5cLCwsPSPnV9kydOlXOzMz0y89+/vnnclJSknzrrbf66xxK/W9qapKXLl0qL126VAbkJ598Ul66dKlcWloqy/K+6Wt9fb2cmpoqX3DBBfLKlSvlDz/8UI6IiBDS6PuBQ/XZJJ5LwYjn0uHzXJJl8Ww6lJ9Nh60xJcuy/Oyzz8o5OTmyyWSShw8fLv/5559d3aR9AhDy88Ybb/jr2Gw2+aqrrpLj4+PliIgI+dRTT5W3bdumOU5JSYl8/PHHy1arVU5KSpJvvvlm2el0dnJv9g3tH1qHev+//vpruW/fvrLZbJZ79uwpv/zyy5rtHo9Hvueee+TU1FTZbDbLEyZMkNetW6epU1NTI5977rlyVFSUHBMTI1900UVyU1NTZ3Zjj2hsbJSvv/56OScnR7ZYLHJBQYF81113aaRTD6X+//LLLyF/71OnTpVled/1dfny5fLo0aNls9ksZ2Zmyo888khndfGw41B8NonnUjDiuXT4PJdkWTybDuVnkyTLAamXBQKBQCAQCAQCgUCwSxyWc6YEAoFAIBAIBAKBYG8RxpRAIBAIBAKBQCAQ7AHCmBIIBAKBQCAQCASCPUAYUwKBQCAQCAQCgUCwBwhjSiAQCAQCgUAgEAj2AGFMCQQCgUAgEAgEAsEeIIwpgUAgEAgEAoFAINgDhDElEAgEAoFAIBAIBHuAMKYEAoFAIBAIBAKBYA8QxpRAIBAIBAKBQCAQ7AHCmBIIBAKBQCAQCASCPUAYUwKBQCAQCAQCgUCwB/w/tjB3TbD3hosAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, @@ -2607,31 +2598,36 @@ ], "source": [ "# let's have a quick look at a few random walks\n", - "plt.plot(walks[:10, :].transpose())\n", - "plt.title(\"A few random walks\")\n", + "fig, ax = plt.subplots(1, 2, figsize=(10, 4))\n", + "ax[0].plot(walks[:10, :].transpose())\n", + "ax[0].set_title(\"A few random walks\")\n", + "\n", "# Let's see how the root mean square of the position evolves with time/nb of steps\n", "rms_position = np.sqrt((walks**2).mean(axis=0))\n", - "plt.figure()\n", "t = 1 + np.arange(len(rms_position))\n", - "plt.plot(t, np.sqrt(t), \":b\", lw=3) # Just to show the fit\n", - "plt.plot(t, rms_position, \"-r\", lw=2)\n", - "plt.title(\"Root Mean Square of Position by Time\")\n", + "ax[1].plot(t, np.sqrt(t), \":b\", lw=3) # Just to show the fit\n", + "ax[1].plot(t, rms_position, \"-r\", lw=2)\n", + "\n", "# What are the highest/lowest positions\n", - "print(\n", - " \"Highest position:{max}\\tLowest position:{min}\".format(\n", + "titles = [\n", + " \"Root Mean Square of Position by Time\",\n", + " \"Highest position:{max} - Lowest position:{min}\".format(\n", " max=walks.max(), min=walks.min()\n", - " )\n", - ")\n", + " ),\n", + "]\n", + "\n", "# How many walks wander further than 50?\n", "bound = 50\n", "hits_the_bound = np.any(\n", " np.abs(walks) > bound, axis=1\n", ") # for each walk, do we go further than the bound at any time?\n", - "print(\"Number of walks over bound(={}):{}\".format(bound, hits_the_bound.sum()))\n", + "\n", + "titles.append(f\"Number of walks over bound(={bound:1.2f}):{hits_the_bound.sum():1.2f}\")\n", "# Among the walks that go beyond the bound, what is the mean of the first hits?\n", "# we use argmax on the boolean array to get the first True value\n", "first_hits = (np.abs(walks[hits_the_bound, :]) > bound).argmax(axis=1)\n", - "print(\"Mean crossing time:{}\".format(first_hits.mean()))" + "titles.append(f\"Mean crossing time:{first_hits.mean():1.2f}\")\n", + "ax[1].set_title(\"\\n\".join(titles))" ] }, { @@ -2645,25 +2641,25 @@ }, { "cell_type": "code", - "execution_count": 72, + "execution_count": 149, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "array([[-1, 1, 1, 1, -1, -1, -1, 1, 1, -1],\n", - " [-1, -1, -1, 1, -1, 1, 1, -1, 1, -1],\n", - " [ 1, 1, 1, 1, 1, -1, 1, -1, -1, 1],\n", - " [ 1, 1, -1, -1, -1, 1, 1, -1, -1, 1],\n", - " [ 1, 1, 1, 1, -1, 1, -1, -1, -1, 1],\n", - " [ 1, 1, 1, 1, 1, -1, 1, -1, -1, -1],\n", - " [ 1, -1, 1, -1, -1, 1, 1, -1, 1, 1],\n", - " [ 1, 1, 1, 1, -1, -1, -1, 1, 1, 1],\n", - " [-1, -1, -1, -1, 1, -1, 1, 1, 1, 1],\n", - " [ 1, -1, 1, 1, -1, 1, 1, -1, 1, -1]])" + "array([[-1, 1, -1, 1, -1, 1, -1, 1, -1, 1],\n", + " [ 1, -1, 1, -1, 1, -1, 1, 1, -1, 1],\n", + " [ 1, -1, 1, -1, 1, -1, 1, -1, 1, -1],\n", + " [ 1, 1, 1, -1, 1, 1, -1, 1, 1, 1],\n", + " [ 1, -1, -1, 1, -1, -1, 1, -1, 1, -1],\n", + " [-1, 1, 1, -1, 1, 1, -1, 1, -1, 1],\n", + " [-1, -1, -1, -1, 1, 1, -1, -1, 1, -1],\n", + " [-1, 1, -1, 1, -1, 1, -1, 1, -1, 1],\n", + " [ 1, -1, -1, -1, -1, -1, -1, -1, 1, 1],\n", + " [-1, -1, -1, -1, -1, 1, 1, -1, -1, -1]])" ] }, - "execution_count": 72, + "execution_count": 149, "metadata": {}, "output_type": "execute_result" } @@ -2697,7 +2693,7 @@ }, { "cell_type": "code", - "execution_count": 73, + "execution_count": 150, "metadata": {}, "outputs": [ { @@ -2710,10 +2706,10 @@ { "data": { "text/plain": [ - "array([ 2.99916948, -1.99956892, 2.00239409])" + "array([ 2.99913492, -2.00017926, 1.99254606])" ] }, - "execution_count": 73, + "execution_count": 150, "metadata": {}, "output_type": "execute_result" } @@ -2742,7 +2738,7 @@ }, { "cell_type": "code", - "execution_count": 74, + "execution_count": 151, "metadata": {}, "outputs": [ { @@ -2751,16 +2747,16 @@ " message: Optimization terminated successfully.\n", " success: True\n", " status: 0\n", - " fun: 1.8178263051875772\n", - " x: [ 1.991e+00 1.395e+01]\n", - " nit: 31\n", - " nfev: 61\n", - " final_simplex: (array([[ 1.991e+00, 1.395e+01],\n", - " [ 1.991e+00, 1.395e+01],\n", - " [ 1.991e+00, 1.395e+01]]), array([ 1.818e+00, 1.818e+00, 1.818e+00]))" + " fun: 1.8179422761204664\n", + " x: [ 2.012e+00 1.396e+01]\n", + " nit: 28\n", + " nfev: 54\n", + " final_simplex: (array([[ 2.012e+00, 1.396e+01],\n", + " [ 2.012e+00, 1.396e+01],\n", + " [ 2.012e+00, 1.396e+01]]), array([ 1.818e+00, 1.818e+00, 1.818e+00]))" ] }, - "execution_count": 74, + "execution_count": 151, "metadata": {}, "output_type": "execute_result" } @@ -2795,16 +2791,16 @@ }, { "cell_type": "code", - "execution_count": 75, + "execution_count": 152, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "(1.990866893336447, 13.952414983319736)" + "(2.011559654306615, 13.955651507822886)" ] }, - "execution_count": 75, + "execution_count": 152, "metadata": {}, "output_type": "execute_result" } @@ -2812,13 +2808,6 @@ "source": [ "np.mean(y), np.std(y) ** 2" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { From 47a9416ebf1a35e06a8f8419117be9d152883411 Mon Sep 17 00:00:00 2001 From: Xavier Dupre Date: Mon, 28 Aug 2023 13:23:23 +0200 Subject: [PATCH 12/17] black --- .github/workflows/documentation.yml | 4 ++-- _doc/c_data/nb_pandas.ipynb | 6 +++++- 2 files changed, 7 insertions(+), 3 deletions(-) diff --git a/.github/workflows/documentation.yml b/.github/workflows/documentation.yml index 8c4d2e2b..6f509276 100644 --- a/.github/workflows/documentation.yml +++ b/.github/workflows/documentation.yml @@ -82,9 +82,9 @@ jobs: grep ERROR doc.txt exit 1 fi - if [[ $(grep WARNING doc.txt | grep -v '(download)|(CERTIFICATE_VERIFY_FAILED)') ]]; then + if [[ $(grep WARNING doc.txt | grep -v '.*((download)|(CERTIFICATE_VERIFY_FAILED)).*') ]]; then echo "Documentation produces warnings." - grep WARNING doc.txt | grep -v '(download)|(CERTIFICATE_VERIFY_FAILED)' + grep WARNING doc.txt | grep -v '.*((download)|(CERTIFICATE_VERIFY_FAILED)).*' exit 1 fi diff --git a/_doc/c_data/nb_pandas.ipynb b/_doc/c_data/nb_pandas.ipynb index 17c6524a..ed9f874c 100644 --- a/_doc/c_data/nb_pandas.ipynb +++ b/_doc/c_data/nb_pandas.ipynb @@ -1478,7 +1478,11 @@ } ], "source": [ - "df1[\"col3\"] = df1[\"col1\"] + 1.0\n", + "try:\n", + " df1[\"col3\"] = df1[\"col1\"] + 1.0\n", + "except Exception as e:\n", + " # un warning ou une exception selon la version de pandas installée\n", + " print(e)\n", "df1" ] }, From efe2e3a660c3c884d1ea1a3d9a7324e4722aa5f3 Mon Sep 17 00:00:00 2001 From: Xavier Dupre Date: Mon, 28 Aug 2023 15:27:33 +0200 Subject: [PATCH 13/17] fix build --- .github/workflows/documentation.yml | 4 ++-- _unittests/ut_xrun_doc/test_documentation_notebook.py | 8 ++++++-- 2 files changed, 8 insertions(+), 4 deletions(-) diff --git a/.github/workflows/documentation.yml b/.github/workflows/documentation.yml index 6f509276..98949042 100644 --- a/.github/workflows/documentation.yml +++ b/.github/workflows/documentation.yml @@ -82,9 +82,9 @@ jobs: grep ERROR doc.txt exit 1 fi - if [[ $(grep WARNING doc.txt | grep -v '.*((download)|(CERTIFICATE_VERIFY_FAILED)).*') ]]; then + if [[ $(grep WARNING doc.txt | grep -v '(download)|(CERTIFICATE_VERIFY_FAILED)' ]]; then echo "Documentation produces warnings." - grep WARNING doc.txt | grep -v '.*((download)|(CERTIFICATE_VERIFY_FAILED)).*' + grep WARNING doc.txt | grep -v 'CERTIFICATE_VERIFY_FAILED' | grep -v 'download' exit 1 fi diff --git a/_unittests/ut_xrun_doc/test_documentation_notebook.py b/_unittests/ut_xrun_doc/test_documentation_notebook.py index 585bf157..14d17baf 100644 --- a/_unittests/ut_xrun_doc/test_documentation_notebook.py +++ b/_unittests/ut_xrun_doc/test_documentation_notebook.py @@ -4,6 +4,7 @@ import importlib import subprocess import time +import warnings from nbconvert import PythonExporter from teachpyx import __file__ as teachpyx_file from teachpyx.ext_test_case import ExtTestCase @@ -80,7 +81,10 @@ def run_test(self, nb_name: str, verbose=0) -> int: f"exec_prefix={sys.exec_prefix!r}) " f"failed due to\n{st}" ) - raise AssertionError(msg) + if "CERTIFICATE_VERIFY_FAILED" in st and sys.platform == "win32": + warnings.warn(msg) + else: + raise AssertionError(msg) dt = time.perf_counter() - perf if verbose: @@ -96,7 +100,7 @@ def add_test_methods_path(cls, fold): fullname = os.path.join(fold, name) if "interro_rapide_" in name or ( sys.platform == "win32" - and ("protobuf" in name or "td_note_2021" in name) + and ("protobuf" in name or "td_note_2021" in name or "nb_pandas" in name) ): @unittest.skip("notebook with questions or issues with windows") From d902d60393f9ab3dd12ea5dde9f54f21f5a56755 Mon Sep 17 00:00:00 2001 From: Xavier Dupre Date: Mon, 28 Aug 2023 15:37:19 +0200 Subject: [PATCH 14/17] balck --- _unittests/ut_xrun_doc/test_documentation_notebook.py | 6 +++++- 1 file changed, 5 insertions(+), 1 deletion(-) diff --git a/_unittests/ut_xrun_doc/test_documentation_notebook.py b/_unittests/ut_xrun_doc/test_documentation_notebook.py index 14d17baf..73c383ee 100644 --- a/_unittests/ut_xrun_doc/test_documentation_notebook.py +++ b/_unittests/ut_xrun_doc/test_documentation_notebook.py @@ -100,7 +100,11 @@ def add_test_methods_path(cls, fold): fullname = os.path.join(fold, name) if "interro_rapide_" in name or ( sys.platform == "win32" - and ("protobuf" in name or "td_note_2021" in name or "nb_pandas" in name) + and ( + "protobuf" in name + or "td_note_2021" in name + or "nb_pandas" in name + ) ): @unittest.skip("notebook with questions or issues with windows") From 5a83529b963573e774d5ea826c1b59bf0e08d1b8 Mon Sep 17 00:00:00 2001 From: Xavier Dupre Date: Mon, 28 Aug 2023 16:56:30 +0200 Subject: [PATCH 15/17] yml --- .github/workflows/documentation.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/.github/workflows/documentation.yml b/.github/workflows/documentation.yml index 98949042..81229913 100644 --- a/.github/workflows/documentation.yml +++ b/.github/workflows/documentation.yml @@ -84,7 +84,7 @@ jobs: fi if [[ $(grep WARNING doc.txt | grep -v '(download)|(CERTIFICATE_VERIFY_FAILED)' ]]; then echo "Documentation produces warnings." - grep WARNING doc.txt | grep -v 'CERTIFICATE_VERIFY_FAILED' | grep -v 'download' + cat doc.txt | grep WARNING | grep -v 'CERTIFICATE_VERIFY_FAILED' | grep -v 'download' exit 1 fi From c5a2855533fef432f4a43508ba52d45346c8d06a Mon Sep 17 00:00:00 2001 From: Xavier Dupre Date: Mon, 28 Aug 2023 17:13:08 +0200 Subject: [PATCH 16/17] yml --- .github/workflows/documentation.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/.github/workflows/documentation.yml b/.github/workflows/documentation.yml index 81229913..c3395108 100644 --- a/.github/workflows/documentation.yml +++ b/.github/workflows/documentation.yml @@ -82,7 +82,7 @@ jobs: grep ERROR doc.txt exit 1 fi - if [[ $(grep WARNING doc.txt | grep -v '(download)|(CERTIFICATE_VERIFY_FAILED)' ]]; then + if [[ $(grep WARNING doc.txt | grep -v 'download' | grep -v 'CERTIFICATE_VERIFY_FAILED' ]]; then echo "Documentation produces warnings." cat doc.txt | grep WARNING | grep -v 'CERTIFICATE_VERIFY_FAILED' | grep -v 'download' exit 1 From ff62da75d2ac8b1b8b93e3e06eb4ad08378dac10 Mon Sep 17 00:00:00 2001 From: Xavier Dupre Date: Mon, 28 Aug 2023 18:04:41 +0200 Subject: [PATCH 17/17] ) --- .github/workflows/documentation.yml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/.github/workflows/documentation.yml b/.github/workflows/documentation.yml index c3395108..b20e9963 100644 --- a/.github/workflows/documentation.yml +++ b/.github/workflows/documentation.yml @@ -82,7 +82,7 @@ jobs: grep ERROR doc.txt exit 1 fi - if [[ $(grep WARNING doc.txt | grep -v 'download' | grep -v 'CERTIFICATE_VERIFY_FAILED' ]]; then + if [[ $(grep WARNING doc.txt | grep -v 'download' | grep -v 'CERTIFICATE_VERIFY_FAILED') ]]; then echo "Documentation produces warnings." cat doc.txt | grep WARNING | grep -v 'CERTIFICATE_VERIFY_FAILED' | grep -v 'download' exit 1