{ "cells": [ { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "# Montage de roues\n", "\n", "## Définitions des données\n", "\n", "Les mesures suivantes :\n", "\n", "![moyeu_avt_d](https://www.sapim.be/themes/custom/sapim/images/spoke-calculator/frontwheel-with-disc-1.png \"Moyeu avant avec disque\")\n", "\n", "![Moyeu_avt_d_side](https://www.sapim.be/themes/custom/sapim/images/spoke-calculator/frontwheel-with-disc-2.png \"Moyeu avant avec disque côté\")\n", "\n", "![jante_avt](https://www.sapim.be/themes/custom/sapim/images/spoke-calculator/img3.png \"Jante\")\n", "\n", "![epaisseur_jante](https://www.sapim.be/themes/custom/sapim/images/spoke-calculator/img4.png \"rim thickness\")\n", "\n", "- $K$ : largeur totale du moyeu avant\n", "- $K_a$ : distance entre le disque d'ancrage des rayons et l'extrémité du moyeu (coté disque)\n", "- $K_b$ : distance entre le disque d'ancrage des rayons et l'extrémité du moyeu (coté cassette)\n", "- $D1_a$ : diamètre de positionnement des trous d'ancrage des rayons (coté disque)\n", "- $D1_b$ : diamètre de positionnement des trous d'ancrage des rayons (coté cassette)\n", "- $D_{iR}$ : diamètre interne jante (voir \\ref{jante_avt})\n", "- $n_{rayons}$ : nombre de rayons\n", "- $n_{ca}$ : croisement tous les $n_{ca}$ rayons (coté disque)\n", "- $n_{cb}$ : croisement tous les $n_{ca}$ rayons (coté cassette)\n", "- $th_r$ : épaisseur de jante\n", "\n", "On calcule donc les longeurs des rayons :\n", "Côté disque :\n", "$l_{ra}=D_{iR}/2-D1_a/2$\n", "\n", "Côté cassette :\n", "$l_{rb}=D_{iR}/2-D1_b/2$\n", "\n", "## Laçage\n", "\n", "On utilise [les schémas du montage de roue pas Sheldon Brown traduits par Michel Gagnon](http://mgagnon.net/velo/roue_montage.fr.php) pour le montage\n", "\n", "![roue_rayonnee](http://mgagnon.net/velo/images-tech/roue_montage36.gif) \n", "\n", "Pour prendre en compte la largeur du moyeu\n", "On va définir une position en z telle que :\n", "\n", "- sur la jante, z=0\n", "- sur le flasque côté disque, z=-ec_a\n", "- sur le flasque côté cassette, z=ec_b\n", "\n", "## Vérification des longeurs de rayons\n", "\n", "On utilise le [calculateur de rayon de DT Swiss](https://spokes-calculator.dtswiss.com/fr/calculator) et on obtient avec des rayons DT Aerolite et 3 croisements\n", "\n", "- roue avant :\n", " - côté disque (gauche) = 267 mm\n", " - côté cassette (droite) = 270 mm\n", "- roue arrière\n", " - côté disque (gauche) = 264 mm\n", " - côté cassette (droite) = 263 mm\n" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "# Gravel Agathe\n", "## Roue avant Gravel Agathe\n", "\n", "Modèle de jantes : winow 300\n", "Modèle de moyeux : Novatec D791SB (avant, 28 trous) & D792SB (arrière, 28 trous)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "hideCode": true, "hidePrompt": false }, "outputs": [], "source": [ "#!pip install pandas\n", "#!pip install numpy\n", "#!pip install matplotlib\n", "#!pip install os\n", "\n", "# Common imports\n", "import numpy as np\n", "import pandas as pd\n", "from math import *\n", "import matplotlib.pyplot as plt\n", "import os\n", "\n", "from matplotlib.patches import Circle\n", "from matplotlib.patheffects import withStroke" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "hideCode": true, "hidePrompt": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Longueur des rayons de roue avant côté disque = 283.43 mm\n", "Longueur des rayons de roue avant côté casssette = 285.53 mm\n" ] } ], "source": [ "K=100\n", "K_a=26.7\n", "K_b=14.8\n", "D1_a=58\n", "D1_b=45\n", "D_iR=574\n", "n_r=28\n", "n_ca=3\n", "n_cb=3\n", "th_r=1.8\n", "\n", "d_ff=K-K_a-K_b\n", "ec_a=K/2-K_a\n", "ec_b=K/2-K_b\n", "d_tr=2.6\n", "\n", "\n", "tmp_lra=np.sqrt((D_iR/2)**2+(D1_a/2)**2-D_iR*(D1_a/2)*np.cos(n_ca*4*np.pi/n_r))\n", "l_ra=np.sqrt(ec_a**2+tmp_lra**2)-d_tr/2+th_r\n", "print('Longueur des rayons de roue avant côté disque = %.2f mm' %l_ra)\n", "tmp_lrb=np.sqrt((D_iR/2)**2+(D1_b/2)**2-D_iR*(D1_b/2)*np.cos(n_cb*4*np.pi/n_r))\n", "l_rb=np.sqrt(ec_b**2+tmp_lrb**2)-d_tr/2+th_r\n", "print('Longueur des rayons de roue avant côté casssette = %.2f mm' %l_rb)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "hideCode": true, "hidePrompt": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "largeur du moyeu côté disque : 23.30\n", "largeur du moyeu côté disque : 35.20\n", "longueur des rayons de queue côté cassette : 275 mm\n", "longueur des rayons de queue côté disque : 270 mm\n", "longueur des rayons de tête côté cassette : 275 mm\n", "longueur des rayons de tête côté disque : 270 mm\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "D_iR=574\n", "\n", "# 28 trous\n", "n_r=28\n", "\n", "K=100\n", "K_a=26.7\n", "K_b=14.8\n", "D1_a=58\n", "D1_b=45\n", "\n", "n_ca=2\n", "n_cb=2\n", "\n", "d_ff=K-K_a-K_b\n", "ec_a=K/2-K_a\n", "print('largeur du moyeu côté disque : %.2f' %ec_a)\n", "ec_b=K/2-K_b\n", "print('largeur du moyeu côté disque : %.2f' %ec_b)\n", "d_tr=2.6\n", "\n", "radius=D_iR/2/1000\n", "\n", "# Sur la jante\n", "theta=np.arange(n_r)*2*np.pi/n_r\n", "x =radius*np.cos(theta)\n", "y =radius*np.sin(theta)\n", "\n", "# Sur le moyeu côté cassette\n", "r_ib=D1_b/2/1000\n", "theta_ib=(np.arange(int(n_r/2)))*2*np.pi/(n_r/2)-2*(4-n_cb)*(2*np.pi/(n_r/2))/2\n", "x_ib =r_ib*np.cos(theta_ib)\n", "y_ib =r_ib*np.sin(theta_ib)\n", "\n", "# Sur le moyeux coté disque\n", "r_ia=D1_a/2/1000\n", "theta_ia=theta_ib+(2*np.pi/(n_r/2))/2\n", "x_ia =r_ia*np.cos(theta_ia)\n", "y_ia =r_ia*np.sin(theta_ia)\n", "\n", "#fig, ax = plt.subplots()\n", "fig = plt.figure(figsize=(8, 8))\n", "ax = fig.add_subplot(1, 1, 1, aspect=1)\n", "\n", "# Jante\n", "circle = Circle((0, 0), radius, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "# Flasque côté cassette\n", "circle = Circle((0, 0), r_ib, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "# Flasque côté disque\n", "circle = Circle((0, 0), r_ia, clip_on=False, zorder=10, linewidth=1,edgecolor='gray', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "\n", "imax=int(n_r/4)\n", "#Placage des rayons de queue côté cassette\n", "#imax=3\n", "for i in np.arange(imax) :\n", " i_j=(i*4)%len(x) #index du trou sur la jante\n", " i_f=(i*2+4)%len(x_ib) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ib[i_f]]\n", " y_r=[y[i_j],y_ib[i_f]]\n", " z_r=[0,ec_b/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rbq=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='o',color='red', markerfacecolor='w',markeredgecolor='r',markersize=4)\n", "print('longueur des rayons de queue côté cassette : %i mm' %l_rbq)\n", "\n", "\n", "# placage des rayons de queue côté disque\n", "#imax=int(n_r/4)\n", "for i in np.arange(imax) :\n", " i_j=(i*4-1)%len(x) #index du trou sur la jante\n", " i_f=(i*2+3)%len(x_ia) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ia[i_f]]\n", " y_r=[y[i_j],y_ia[i_f]]\n", " z_r=[0,ec_a/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_raq=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='o',color='orange', markerfacecolor='w',markeredgecolor='orange',markersize=4)\n", "print('longueur des rayons de queue côté disque : %i mm' %l_raq)\n", "\n", "#Placage des rayons de tête côté cassette\n", "#imax=1\n", "for i in np.arange(imax) :\n", " i_j=(2*(2*(i+n_cb)-5))%len(x) #index du trou sur la jante en prenant en compte le nombre de croisement\n", " i_f=(i*2-1)%len(x_ib) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ib[i_f]]\n", " y_r=[y[i_j],y_ib[i_f]]\n", " z_r=[0,ec_b/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rbt=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='+',color='blue', markerfacecolor='w',markeredgecolor='b',markersize=4)\n", "print('longueur des rayons de tête côté cassette : %i mm' %l_rbt)\n", "\n", "#Placage des rayons de tête côté disque\n", "#imax=3\n", "for i in np.arange(imax) :\n", " i_j=((i+(n_cb-3))*4+1)%len(x)\n", " i_f=(i*2-2)%len(x_ia)\n", " x_r=[x[i_j],x_ia[i_f]]\n", " y_r=[y[i_j],y_ia[i_f]]\n", " z_r=[0,ec_a/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rat=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='+',color='green', markerfacecolor='w',markeredgecolor='green',markersize=4)\n", "print('longueur des rayons de tête côté disque : %i mm' %l_rat)\n", "\n", "\n", "ax.set_axis_off()\n", "ax.set_xlim(-radius, radius)\n", "ax.set_ylim(-radius, radius)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "### Mesures roues arrière Gravel Agathe" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "hideCode": true, "hidePrompt": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Longueur des rayons de roue arrière côté disque = 284.71 mm\n", "Longueur des rayons de roue arrière côté casssette = 283.61 mm\n" ] } ], "source": [ "K=142\n", "K_a=35.4\n", "K_b=53.4\n", "D1_a=58\n", "D1_b=49\n", "D_iR=574\n", "n_r=28\n", "n_ca=3\n", "n_cb=3\n", "th_r=1.8\n", "\n", "d_ff=K-K_a-K_b\n", "ec_a=K/2-K_a\n", "ec_b=K/2-K_b\n", "d_tr=2.6\n", "\n", "\n", "tmp_lra=np.sqrt((D_iR/2)**2+(D1_a/2)**2-D_iR*(D1_a/2)*np.cos(n_ca*4*np.pi/n_r))\n", "l_ra=np.sqrt(ec_a**2+tmp_lra**2)-d_tr/2+th_r\n", "print('Longueur des rayons de roue arrière côté disque = %.2f mm' %l_ra)\n", "tmp_lrb=np.sqrt((D_iR/2)**2+(D1_b/2)**2-D_iR*(D1_b/2)*np.cos(n_cb*4*np.pi/n_r))\n", "l_rb=np.sqrt(ec_b**2+tmp_lrb**2)-d_tr/2+th_r\n", "print('Longueur des rayons de roue arrière côté casssette = %.2f mm' %l_rb)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "hideCode": true, "hidePrompt": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "largeur du moyeu côté disque : 35.60\n", "largeur du moyeu côté disque : 17.60\n", "longueur des rayons de queue côté cassette : 272 mm\n", "longueur des rayons de queue côté disque : 272 mm\n", "longueur des rayons de tête côté cassette : 272 mm\n", "longueur des rayons de tête côté disque : 272 mm\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "D_iR=574\n", "\n", "# 28 trous\n", "n_r=28\n", "\n", "K=142\n", "K_a=35.4\n", "K_b=53.4\n", "D1_a=58\n", "D1_b=49\n", "\n", "n_ca=2\n", "n_cb=2\n", "\n", "d_ff=K-K_a-K_b\n", "ec_a=K/2-K_a\n", "print('largeur du moyeu côté disque : %.2f' %ec_a)\n", "ec_b=K/2-K_b\n", "print('largeur du moyeu côté disque : %.2f' %ec_b)\n", "d_tr=2.6\n", "\n", "radius=D_iR/2/1000\n", "\n", "# Sur la jante\n", "theta=np.arange(n_r)*2*np.pi/n_r\n", "x =radius*np.cos(theta)\n", "y =radius*np.sin(theta)\n", "\n", "# Sur le moyeu côté cassette\n", "r_ib=D1_b/2/1000\n", "theta_ib=(np.arange(int(n_r/2)))*2*np.pi/(n_r/2)-2*(4-n_cb)*(2*np.pi/(n_r/2))/2\n", "x_ib =r_ib*np.cos(theta_ib)\n", "y_ib =r_ib*np.sin(theta_ib)\n", "\n", "# Sur le moyeux coté disque\n", "r_ia=D1_a/2/1000\n", "theta_ia=theta_ib+(2*np.pi/(n_r/2))/2\n", "x_ia =r_ia*np.cos(theta_ia)\n", "y_ia =r_ia*np.sin(theta_ia)\n", "\n", "#fig, ax = plt.subplots()\n", "fig = plt.figure(figsize=(8, 8))\n", "ax = fig.add_subplot(1, 1, 1, aspect=1)\n", "\n", "# Jante\n", "circle = Circle((0, 0), radius, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "# Flasque côté cassette\n", "circle = Circle((0, 0), r_ib, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "# Flasque côté disque\n", "circle = Circle((0, 0), r_ia, clip_on=False, zorder=10, linewidth=1,edgecolor='gray', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "\n", "imax=int(n_r/4)\n", "#Placage des rayons de queue côté cassette\n", "#imax=3\n", "for i in np.arange(imax) :\n", " i_j=(i*4)%len(x) #index du trou sur la jante\n", " i_f=(i*2+4)%len(x_ib) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ib[i_f]]\n", " y_r=[y[i_j],y_ib[i_f]]\n", " z_r=[0,ec_b/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rbq=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='o',color='red', markerfacecolor='w',markeredgecolor='r',markersize=4)\n", "print('longueur des rayons de queue côté cassette : %i mm' %l_rbq)\n", "\n", "\n", "# placage des rayons de queue côté disque\n", "#imax=int(n_r/4)\n", "for i in np.arange(imax) :\n", " i_j=(i*4-1)%len(x) #index du trou sur la jante\n", " i_f=(i*2+3)%len(x_ia) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ia[i_f]]\n", " y_r=[y[i_j],y_ia[i_f]]\n", " z_r=[0,ec_a/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_raq=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='o',color='orange', markerfacecolor='w',markeredgecolor='orange',markersize=4)\n", "print('longueur des rayons de queue côté disque : %i mm' %l_raq)\n", "\n", "#Placage des rayons de tête côté cassette\n", "#imax=1\n", "for i in np.arange(imax) :\n", " i_j=(2*(2*(i+n_cb)-5))%len(x) #index du trou sur la jante en prenant en compte le nombre de croisement\n", " i_f=(i*2-1)%len(x_ib) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ib[i_f]]\n", " y_r=[y[i_j],y_ib[i_f]]\n", " z_r=[0,ec_b/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rbt=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='+',color='blue', markerfacecolor='w',markeredgecolor='b',markersize=4)\n", "print('longueur des rayons de tête côté cassette : %i mm' %l_rbt)\n", "\n", "#Placage des rayons de tête côté disque\n", "#imax=3\n", "for i in np.arange(imax) :\n", " i_j=((i+(n_cb-3))*4+1)%len(x)\n", " i_f=(i*2-2)%len(x_ia)\n", " x_r=[x[i_j],x_ia[i_f]]\n", " y_r=[y[i_j],y_ia[i_f]]\n", " z_r=[0,ec_a/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rat=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='+',color='green', markerfacecolor='w',markeredgecolor='green',markersize=4)\n", "print('longueur des rayons de tête côté disque : %i mm' %l_rat)\n", "\n", "\n", "ax.set_axis_off()\n", "ax.set_xlim(-radius, radius)\n", "ax.set_ylim(-radius, radius)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "idée pour la suite : faire un gif avec les images générées par les boucles for ci après [idee](http://www.xavierdupre.fr/blog/2013-05-25_nojs.html)\n", "\n", "# VTT 27.5 Agathe\n", "\n", "Modèle de jantes : winow 650\n", "Modèle de moyeux : Novatec D791SB (avant, 28 trous) & D792SB (arrière, 32 trous)\n", "\n", "Disponibilité des rayons : 30 rayons de 258 mm + 30 rayon de 261 mm, \\#mercilachine !\n", "\n", "**Mesures jantes :**" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "hideCode": false, "hidePrompt": false }, "outputs": [], "source": [ "D_iR=545\n", "th_r=1.8" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "# Roue Avant 27.5 VTT Agathe" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "largeur du moyeu côté disque : 23.30\n", "largeur du moyeu côté disque : 35.20\n" ] } ], "source": [ "# 28 trous\n", "n_r=28\n", "\n", "K=100\n", "K_a=26.7\n", "K_b=14.8\n", "D1_a=58\n", "D1_b=45\n", "\n", "n_ca=2\n", "n_cb=2\n", "\n", "d_ff=K-K_a-K_b\n", "ec_a=K/2-K_a\n", "print('largeur du moyeu côté disque : %.2f' %ec_a)\n", "ec_b=K/2-K_b\n", "print('largeur du moyeu côté disque : %.2f' %ec_b)\n", "d_tr=2.6\n", "\n", "radius=D_iR/2/1000" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "hideCode": true, "hidePrompt": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "longueur des rayons de queue côté cassette : 261 mm\n", "longueur des rayons de queue côté disque : 256 mm\n", "longueur des rayons de tête côté cassette : 261 mm\n", "longueur des rayons de tête côté disque : 256 mm\n" ] }, { "data": { "image/png": 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b15U//akPPXuOCK2vM1AG5DpFmjJYOsXgEOCfc4ItEVpT2ljFvgKOx0c05ul3Oa8p66IG5ELUIKuqmfCyouC1xx3BzG55qEsXHfX4411OOuMMphxwQBfGj89z97m6IU83sZKUkNQDui4NJz3rZupVPsc7cNUjVwMC8lRT6Tvk/BlkihyQi5Cy3gZ4xir2UWghHUJaeeXu3e3Z3Xab8vBDD9F/9dX5eqaZ3gotqzNQBuQ6Q9JCwBPABKAfzFvFTSZ3SbnctXUIq9gU3OD1Z1U1W2g9AJh9gZeT5G1kZOFMXRKzA92B3DasacAgajxIInW8a989jB9/0DxDhox+6NlnJ3d7882v5/nmG0nKY+VAXVEG5DpC0lrAM3jKbKCfCTHYjHuAo4H7JRYMKjIDrGLP4zWf1dBaGpAvY1esrsAcwOehpbSRPsBoM3J9JquqFgZWAu4KraXdSPMBDwInYnYpY8cu023y5OlumjRp9h/gIuBpSf3CiqxvyoBcJ0jaCx+CvoeZnTtt1y0zrgUuAB6UyGOpUEf5E7CDqrlpcJA3Y9ccwFgiK9K0JPCz+CKkq3cFbraKfR9aSLuQZgMeAC7D7IqGX0q6ew3BZzvfLGn/EBI7A2VALjiSukg6Gx9P2NfM7m/qe804F3+Cv1eirtrlWcW+AE7CDV55OLvNm7GryOfHuTZ0hZp7nBrSTMAI4CHgjKa+zcwewuuVD5J0oZQrI2VdUP5AC4y8PeM1wBrAH8ysNa0FjwP+BdwmMUOW+gJwBTATsHNoIeQtZV3sgJz3HfJaeOe4f4YW0mb8HnIL8C5wJC30szezf+NBeQXgRkkzZi+y81AG5IKSNIQfAcyKD4do1Ui95CxuX9z0dU3SJ7gusIpNBg4EzlRVPQPLyVvKuqgBuQg1yAMpYu2x73CvwOPAHljrpoCZ2dfARsB0wL1JF8CSFKibm3FnQtJv8GYfHwHbmNl3bXm9GZOAnYD5gAsk8pDiTQWr2DPA/fhUqJB8AMxJfibpFNFh3Q1YAHg7tJamUFU9gG2B60NraRNekncWPh95ANY2b4GZfY/Pe34LGClp7vRFdj7KgFwwJC2ClzU9BOxlZpPacx0zJgBbAn2BE9LSlxOOA3ZVVcsEU2A2GXgTyEtDhSK2zVwceNeMPBvR+gNPWiW/c8Sb4ChgY2BzzMa35wLmv+P7476UJyUtlqK+TkkZkAuEpOXxYHyRmR3f0fnFZozF35S7S+yXhsY8YBX7FC+BCm3wypOxq4gp68KkqwNraBvSHsABwEa08qirKRIHdhX4C/C4pJXTkNhZKQNyQZC0Nr4rPtLMLkzrumZ8gp8HnSixXVrXzQGXArMBOwTUkCdjVxEDcq4NXarqt8DyuJejGEhbAqfhwTi1jmJmdineoOd+SX9M67qdjTIgFwD5m+hWIDKzm9O+vhlvA5sBF0vUxZvJKjYJv0H8RdVg57h5MnYVMSDnfYe8G3CjVeyH0EJahT/U/w3YgtZVZLQJM7sdGIC7r+vp4b5mlAE550jaFrgc2CypA8wEM17mpzcTq2S1Ti2xij2Bm99ODCQhTynrwpm6yHENcjLMZHeKkq6WVsAf6nfC7PmsljGzR4ENgaGSdsxqnXqlDMg5RtIA4GJgEzPLvMbRjEeBvYEREktmvV6NOBrYU1WF2Km+CSyKNF2AtX8mlvCAXBhTV1KO15ucBmRgbWA88GJoIS3is4zvBQ4kw4f6qZjZy8AGwHmS8tAToDCUATmnSNoJGAJsZGY1e9ObcRfehvJBiflrtW5WWMU+wc/MLqy5wctnT/8XCN2Uf1bge6JCtXVcEPjajHGhhTTBQOCq3NceS/Pg/alPxWxYrZY1s9eA9YGzJeVpEluuKQNyDkmC8bl4w49Xar2+GVcClwAPJNN2is5QvOZ62wBr5yFtXcTz4zynq2cGtgZuCK2lWaReeE3+tZhdUuvlzWwU8EfgNEkDa71+ESkDcs6QtAM/B+PXAko5C38z3y0xU0AdHcYqNhE3eJ2bDJGvJXkwdhUxIOd5qMQA4DGrWH5/plI3YDjwOHBKKBlm9ga+Uz5N0i6hdBSFMiDnCEn98YlMG5nZv0JqSVpsHo134hkmMX1IPR3FKjYSeAo4vsZLlzvk9pHbHTJJujq0iCZxz8JNwMfAoS31p84aMxuNnymflWT/SpqgDMg5QdLW+MzRjc3s1dB6AMyYAuwFGHBlHfS9/j9gP1W1RA3XzEMtclEd1rnbIauqxYClgXtCa2kUb4n5V6A7sHtr+1NnjZm9jruvz5W0fWg9eaXoN9i6QNIGwGV4adPLofU0JGlbuD1uTDqnyH2vrWIfAWcCF9TQ4OUpawXtGFbEtpl5rUHeHYitYj+GFtIEpwPLAv2xfGlMsn4bA0MkbRpaTx4pA3JgJK0CxEB/M3shtJ7GMOM7YAv8LOiYwHI6ygX4w8UWNVnN7HNgMh4UQ1GolHViJOyOp1xzQ4Pa43ymq6UjcLPZZph9G1pOYyQm1a2AayT9PrSevFEG5IBIWgJvu7e3mT0eWk9zmPEV3mJzX4m9QutpL8nO5mDgfFXVvUbLhk5bFyogk9QfJz6GPNEP+Moq+cpiASDtBhyGt8T8PLSc5jCzZ/Bz+DslhfZX5IoyIAdC0rzAA8BJZnZnaD2twYyP8XOgkyW2Ca2nvVjFHgJewE1rteANwhq7ihaQ85quHkQeO3NJm+FVERth9kFoOa3BzO7Bs233SVogtJ68UAbkAMjrA+8DrjSzy0PraQtmvAVsDvxVol9gOR3hSODgZEBA1oTeIRfN1JU7Q5eq6okfc+Sr9lhaE39I2AovMSoMZnYN3onwfkmzhdaTB8qAXGPk9YF34mMUTwssp12Y8SKwI3CLxEqh9bQHq9gHeL33+TVYLnQtctFMXXncIQ8AHrGKfRZayE9IywG3A7tg9mxoOe3kbODvwHCpZkdIuaUMyDVEUlfgOuBz4NCOzjMOiRkP48PJ75FYPLSednIOsLSqmTs+w9Uix5oZEJBLk08T5LEGeRB5MnNJi+BZtsMweyCsmPaT3AOPBD4EblLovu+BKQNyjZCXvVwIzAHsYmaTA0vqMGbcBgzG+17PG1hOm0nG5h2Cl0HNmOFS7wNzoiBjIP38OCrGw5/EjHgf63+H1jKVpG59CTwAhkeaC+9PfSZmN4aW01HMa6UH4s76SxS2RDAoZUCuHUcCawLbmBVkfmorMOMyfMbq/RKzhtbTVqxi9wGj8KYhGS1ik/GOZyEmaBXN0LUE8F5S/54XdgduSFqwhkXqiT8Y3ITZkNBy0sK8Zro/sBK176aXG8qAXAMkbQIcAWxpZmND68mA04GRwHCJIp4DHQ4crqoWynCNUGnrogXkXKWrVVVX8jL32P0ndwD/BCqB1aSOmX2D1yjvL2mr0HpCUAbkjJHUB7gGGGAFKUloK0m96OH4OdDNEoU6B7KKvYuPujw3w2VCOa2L5rDO21CJ9YBPrRK4na37T64HvsTnGhfiCKKtmNlH+E75CknLhtZTa8qAnCGJlf8u4FgzezK0nixJ+l4PAqYHLi9gi82zgJVU1QYZXT9ULXLRHNa52iHjZ5tXB1XgZ6oXAbPhjurC+0+aw9wxfgRwl6Q5QuupJWVAzojEUX0jcL+ZXRlaTy0w40dgOzzwnBFYTpuwik3AOx0NUVUzZLBEqB1yEVPWudghq6pZgc3w1rYhORlYBdiaOvKfNIeZXQfcBgyTVOhJc22hDMhpE2tRhvUadcSmmrhm765rfTiEoaEl1RIzxuM3sS2kDI1S2XA38DYemNPmTWAxal/WUZiAnEwT6w2MCa0lYXvgIavYF8EUSIckOjbFz1g7E8fN0g0N6jf9J9w43SSG9RpFrEVDi8qSMiCnzfQ9R1z95kZLDX9zUd115QndF5i7ZyHaYqaJGV/gLTYPkhgYWE6rsYoZcChwtKopt/Mz+w74BB9sUUsKE5CBBYBxZuTF+DiQkOlqKQKOwltiFunYIRXMbPJ7F88yz1Pvzzr7ZV+f35Vl/tSH6XuOCK0rS8qAnDJPv/Ft76POf0R33TWcOVY7uguTxvcOrSkEZvwHH7V2hlSjyUopYBX7N3Ap3kEobUKkrYtk6spTuroP/vB0fxgB2hg4D9gEs/eCaAhNrOVn7/Zdn+F3/50TKifz+Kcr1f39tAzIKSJpnm3ONfvb4M2mLL3kIjDmQuja/SvizlnobsZoYEvgbxJ9Q+tpA6cDa6iqdVO+bogWmkUydeWpZebuwPVWsUk1X9nHEl4HbIPPEO5cxJqeWCcB/6DrTB8vafdPue7qy9l+QH/e/bL726HlZUkZkFMiMXFdP0NXu2TLue4YzbCekxl1+hgmfftf4AJidcqftRnPATsDt0osH1pPa7CKfYeXcQ1VNVVDSW1rkWN1A2YCvqrZmh0jFzvkpPZ4N0Kkq6Wl8V73u2P2VM3XD02slfA6698DKzPpm768fvrojcb2nzxwrR8+XfaIb7+u5/aanTJIZMSxwPQffskRDBi7DDtNmo7tx/UB+gIrA1cQq2tYiWEw4+/4DOJ7pZqfobaXO4CPgINSvGatd8hzAZ8WpW0m+dkhbwB8ZBUbVdNVpYXwFPlRmN1b07VDE2sGYp2MtwQ9H9iMyD4ksnem3k/PuPPH+b77kXHAiWHFZkcZkFNAUl884ERm06S4IhsLbIT3572BuPNY+Btixi14KvhBiblD62mJxOB1MHC8qkqrT7fvkGvXq7dIhi7ITw3yQGq9O5bmxOejn4eX/HQeYq2CzydfCViByK5u7CEy6f+/K7C3pPVqrLImlAG5g8jfSDcAeyZdZn5NZOPxWao9gNuSVGKnw4yL8Z/VfRK9QutpCavYGLxP91kpXfJzYAq+c60FhQnIErPh74/G30O10lHVbLgZ8abaLaqZgXuBOzE7r2brhiZWN2Kdjv/dzwS2JLKPm3uJmX2CHydcJx+yUVeUAbkDJFNJrgJuMbN7mv3myL4HtgUmAMOJ1SN7hbmkCjwN3ClRhAeTU4F+qqrjpjRvd1jLtHXRHNajkzasIdkReMAq9mVNVpNmwGcav0pnGqoQa3XgRfyYYnkiu761Rytm9hCewbhOqi9vTl39ZQJwGH7Ta90bKbKJQITvAu4nVu53iWmT3HAPwZ2/sUSuz9WtYt/ik6CGqpqKmaSWxq4iOaw7X7rajaDXAuOB/eq1P/UviNWdWGcBw/EOZNsS2SftuFIFz6gcnaa80JQBuZ1IWhU4DtgxGR3WOiKbDOwJvAI8RNy5erUCmDEZTzvNAlxagL7XtwBfAPulcK1a1iIXJmVNDoZKqKql8eYkf89+MQm4AJgH2IlpvSf1SKw1gJeBRYDliOym9hoOE6/OTsDhktZIT2RYyoDcDiT1Am4GDjCzd9t8gcim4Iahh4GRxJonXYX5x4wf8BT+CnhaOLc0MHhVVO3wuVUtU9ZFCsh52CEPBK6rUe3xifh89K0w+74G64Uj1kzEOhfvTf0nItueqOOdx8zsQ2Av4EZJs3f0enmgDMjt40LgQTO7td1X8CfDY/Hd16PEWjAlbYXBjG/wvtf9pUz6R6dGUgJzLR0fmlHrlHWRAnKwHXJyHLErPio148W0P54h2pj6nI/+M7HWxrOB8+C74vbfMxvBzEbgJYoXp3ndUNRtgXVWSNoCry3ueJMLD8qnEGs88Bix1ieyuu5EMy1mfCaxEfCExGdm3BBaUzNUgTdU1e+tYs+08xrvAXMh9cBsfHrSGqUQpi6JGYGF8MEeodgQeN8qlu1DgbQ9cALQF7Pc/9u0Gzet/hmf/nYAkWXZ0/844GVJ25rZ7RmukznlDrkNJPONLwH2MLNvU7twZOfiv7wjiRViZm5QzHgfLzU5R2KT0Hqawio2DjgGuCjp5tSOi9hk4C18qlHWFMXUtTjwfjK+MxSD8IqJ7JDWB4bik5veyXStkMRaF3gNmBVYNuNgjJlNAPYALkrKUAtLGZDbxvnAnWY2MvUrR3YZ/qT3MLFWTP36OceMUcA2wLUSfwitpxluwF2xe3fgGtkbu2JNh98QP890nXQIna6eA98h35zdIloVn6vcH7NXMlsnJLFmIdbFeB/uQ4hsN6LalI+Z2ZP4z3dILdbLijIgt5IGqepjM1tP0h1sAAAgAElEQVQksuvxVo0PEOv3ma2TU8x4Gj9bu1NimdB6GiMxeB0EnJzcyNtDLYxdvwG+TFz9eSd0y8wdgXutYl9ncnWpD17msxdmj2eyRmhirY/virvhu+K7A6g4AVhZ0rYB1k6FMiC3gsxS1Y0R2W2423M4sfplulYOMeM+4AjgfomFQ+tpDKvYq3gnp9PbeYlaGLtKQ1fryS5dLS2A96c+HrPhmawRkli9iHU5cCWwH5HtQZTRg00L1EPqugzIrSO7VHVjRHYfsD1wC7Fye6aaFYmx62y87/VvQutpgpOALVXVKu14bS1qkYsUkIPtkFXVcrgD+B/pX1yz4/2pL8Is2/PpEPi96TXAcAd1mNnRDWiQuh4aWkt7KANyCySp6rXIMlXdGJGNxGcJX01c3BRMezHjQmAYPiFqltB6piVJbx6HG7za+j4aAyyedGrKiqI4rLvgBrdQKevdgWutknJqX+oB3APci9nZqV47NLFmI9ZVeNZwTyLbJxmikxdOAFaS1D+0kLZSBuRmaJCq3jPzVHVjRPYM7j6+iFi71Hz98JyI97u9IymNyRvX4sMiBrXpVWbf4cEyy1GURXFYzw+MM6PmN/Rk1vUupN0qU5oeuBV/8Kqr1o7E2gLfFU/Ad8XZdzVrI0nqehAwtGip6zIgN89pwIiapaobI7KXgD8CZxBrn2A6ApD0vT4AGAtcn7e+11axKcCBwGmqtrlTUNbGrqKkrEMaujYG3raKvZnaFX3YwVXAJNzEVR/9qWPNTqzr8HafuxLZAUT2TWhZTWFmT+E+jzNDa2kLZUBuAkm/w1s7hp/AEtnrwDrAccQ6PLScWpL0vd4ZmAMYmre+11axF/FpPSe38aVZG7uKEpBDtswcSJq7Y+9PfS6wMLBD3fSnjrU18C/gK3wy0yOBFbWWCrCxpDyXUf6CMiA3QjLS6yLgeDP7KrQegKSD19rAfsQ6gbhmQ+6DY8b3wNbA6vibLG+cAAxQtU3141kbu4oUkGvusFZVc+KZp1tSvOxxwHrAlsmxRLGJNSexbsQNljsS2SFEAY7u2omZjcOPDIYqW79GapQBuXEGJn9eHVDDr4nsQ3ynvAPw504WlMcBmwA7SxwUWk9Dktm5J9A2g1fWKetCmLoIl7KOgLutkpIZSdobH3SwMXl5iO8IsbbDz4r/C6xAZI8FVtReYuBboBDHfWVAnobEyHU6cKCZTQmt51f47NB+wPrAhcT1NaC7Ocz4H95R6ViJHUPrmYa/AVNNQq3BU9bK7KGqKKauUDXIA0nrgdsbUVSBjTD7OJVrhiLWXMQahk9g609kRxAVd7dv9lMjn2oRDF6d5mbeBk4BbjezF0ILaZLIvsDTbSsCVxAXIx2TBma8i++UL5DYMLSeqSQGr4OAM1RVr1a85LPkz/TrrP0h7TfkPCBLzArMDHxU03WrWgH3JDzc8YtpXeBSYHPM3urw9UIRS8TaEXgVeAdYicieCqwqFczsNXyn/OfQWlqiDMgNkLQSPp3khNBaWsTr/jYGFgRuINb0gRXVDDNeA/rjzuvVQ+uZilXsObz2tNryN5vhO8MsjF2zA98QWchhDa2hDzAmcdPXkoF47XHHMmDSynj/6x0wezEFXWHweey342WGWxHZMUQ2IbCqtKkAm0nKzf2iMcqAnNDAyHWCWW0aoneYyMYDWwAzAbcRq1tgRTXDjCfwNnl3STWbL9wajgeipANUS2Rl7CoNXU2gqmbAXfsdm3ssLQHcDeyHFcZ1/Et8V7wLPq/4dWBlIns2sKpMMJ87fSzeVjO3GcUyIP/MbkBXvCdrcYjse3y3+B0wIplD2ikw427cRXm/xIKh9QBYxT4DBgNDVW3xfDgrY1dRAnIIQ9emwGir2L/bfQVpPrwlZoWizt+NNT8+8OIYYFMi+xOR/RBYVdZcB3yPm+9ySRmQAXmbu9OBg3Jp5GqJyCbiT/3/wSdFteYMsy4w41rgQuABifZOX0qbvwI9gZ1a+L6sapGL4rAOUYM8kI6Yudz0+QBwBWaXpyOphviueBDwMt4F73dEOfbLpEgDg9fJknqG1tMYZUB2DgUeM7N/hhbSbnzM3p7AS8A/iNs9GrBwmHEOMAK4R2Lm4Hq8L/KBwNmqqrk+3FmmrHNt6EpYihqmrFXVXHiFwrD2XUAz4b9n/6AABqFfEWtB4F78frcBkVUK4DNIFTN7GX+gOjK0lsbo9AFZ0hz4uL8TQ2vpMJFNAQ4BHgJGJmaNzsKxwCjgVokZQouxij0F/B2fCtUU7wJzJzf6NMl9yjrpTb4Q0P7UcdvZGbjLKu1o+ej9qW8G3gOOKFRLTN8V743viJ8GViWylwOrCkkFOEjS3KGFTEunD8j4jXyYFblkoSGRGd4x6GbgseSpuO5JnLr7Aj8AVydThEJzDDBQVS3d6FfNJuMBqXfK6+Y+IAOLAe+bUZMdWnKeP4j2pKvd8Hk57jEZRJGOtWItjO8I9wPWI7KTkyOuTouZvQtcD/wptJZpycNNKxiSFsSdum3tQ5xvIjMiOxWfVPUYsRYLLakWmDEJ2BGfIHR+6L7XVrH/4Q0WLmzG4JVF2roIAbnWhq4VgVmAR9vx2jOBJYEBWEGCWawuxNofeAEYCfyeyF4LKypXnAbsLGnR0EIa0qkDMu6G/auZ/Te0kEyI7Dz8rGskcRO7tDrDjAn4HOm1yccT8EW4yWq7Jr6eRS1yEUxdtTZ0DQKuaXPtsXQU7szeHLPxWQhLnViL4sdWA4F1iOz0zr4rnhYz+xQYQs42Y502IEtaCq/hPSu0lkyJ7DI8hf0PYq0UWk4tSGbrbgwMktg3qJaKTcKdneeo2mhJWlY75LybumpWg6yqZsQd79e27YUahJvzNqIIvQl8V3ww8BxwH7AmkY0KrCrPnAOsL2mF0EKm0mkDMp6yOMvMvg4tJHMiux6/sdxPXJxRZB3BjE/wvtcnSU3uTmujpWKPAY/T+I493VpkHzhSpqx/yWbAKKvYO61+hbQlXgq5EWb/yUpYasRaHHgEf/BYi8jOJqqT8Y8ZYWbf4P/Gp4fWMpVOGZAl/R5YFU8ndg4iux1PYd1FrH5hxdQGM97Gb8YXS6wXWM5RwD6qaslpPv8msATpdQ/qCUzM80CA5Gy/N7ULyIOAq1r93dLawBXAFpiNyUpUKsTqmsxIfwa4E+hLZKHmSxeRvwJLy//Ng9MpAzK+O66a1V2/1uaJ7D5ge+AWYm0SWk4tMONlYABwk8Tvgumo2Mf4ef4vDV5+LvkpsEhKSxVhd7wA8K0ZmWenVNU8QF/gtta9QCsAtwIRZs9nKK3jxOoNPAZsA/yByM5L+hGUtBIz+wEvTTxd2U1eazWdLiAnu+PF6Ggv26IS2Ujc9HQ1sfoHVlMTzHgUn4d6t8S0O9RaciFee7vVNJ9PM21dhIBcS0PXzsAdVrFvW/xOd9zeCxyE2UNZC2s3vis+CngSuAnoR1QnZZthiPH3Td/QQjpPQJYWpVevUVvAU2fMOOMMRj56HwchsmeAjYChxNo1tJxaYMad+BSvByTmD6KhYhNxg9d5qv6iGUiaLTSL4rDO3NDVoPa45XS1NA/wIHAqZrdkLK39eLXEk7jzezUiG5I0BCppJ+b9AM4CjpMYHFJL5wnIPXuOeG2PPfo8N9dcOviEE+amZ88RoSUFxTv1rAecTqygTuRaYcbf8Nm1D0jMHkRDxR7GXbDHNPh02jvkvDusa2Xo+h3QHXii2e+SeuGu5Gsxu6QGutpOrOmIdRyeor4G+CNRG0xqJS2w8LXQfTV4qRJSRecJyOPH9z7rk0+6HHrYYcx0xBFdGD8+ix7CxSKyN/DevscmxpDOwFl456IREmm3rGwt/wccqOpPDVvS3CGXKeufGUhLtcdSN+AufNd5Sg00tZ1Yy+GmrfWAVYjsknJXnB4SK8N7Y+CU2eEMJCzUTrnTBOQx3bq9c+/w4RwwcCAMGTKF7t2nIF2LtEBobUGJ7G28icZ+xDoxKZupW5IWm0cBbwO3SExfcw0V+xD4C3B+8ikPyOmYSooQkDMfKqGquuFd25r2ikjTATcCnwCH5K4/dazpiXUi8DDuBt6QyN4LK6p+kJhX4krgHuA0uGZW/1FrSbMyIGfK2uPHPxNNnPh5rwUXnMzpp4/m229XBj4EXkGqZNDgvzhE9iEelLcHzugEQXkKPhkL4G+B+l6fByypqjbn5xTznClcN9cBWWJWvIVl1rW9WwCvWMXeb0KI8OOLmYDdctefOtaK+NHGmviIxMuTPvUlHUSiu8SfgNfw915vMy43e3Us9HsUn7EehE4RkCXN/SlsPnTixGWZNGk6xo5dBrPXMPsTfs60FDAGaZekkXznI7L/4enr9YAhxPX9czBjIv4Ashjwl1r3vbaK/YBP5jpfg5mR9NLWeTd19QZGJ5mKLBlI84MkTgeWA/pjORpBGGsGYlXxSWEXApsQ2QeBVdUFEpLYEX+vrQisZsaxZoz7+btu7Q/0lxTE+FnXN90GHArcaGa/vlGZvYfZjnh66xDgGaQ1aqwvH0T2BbA+sALwN+LUmlXkEjO+AzYHNiDAU7FV7AHgVTyFnlYLzbybujI3dKmq+YA1gNsb/wYdgdfuboa1ohyqVsT6HfA8vklYkciuKnfF6SCxOu4TOArY1YwBZvzKFGdmX+DHHEfUWCLQCQKy3EG5D3B2s99o9iTwe/yp9Gakm5AWzl5hzohsah/o+YGYWDU/Y60lZnyF/333k35KY9eSw4HDHl+IT0gvIOd5h1wLQ9cuwG1WaWQYhLQrcBiwIWafZ6yjdcSakVin4U7vs4EtiOyjwKrqAokFJa7HH84uA1Y147EWXnYOMEjSHJkLnIa6D8j4WeEDZq0wQ5hNwex6fq6TfBHpNKRZspWYMyIbjzcP6QbcRqxugRVlihkf4XXZp0psXdO1/Yzz/F23pR8dTVnHmgmYHhqm4HJHpjXISe3xQBpLV0ub4QFvYywnaeBYqwEvAssAKxDZdeWuuONI9JCoAi8D7+LnxFcn/pFmMe9dfhe+kaspdR2Q5efB+wND2/RCs/GYVfHU7YLAaKQ9Uuw3nH8i+x4fGfgdcDdxo5OK6gYz3sTT15dJrFPj5c/+eBbmH96bjk7j8t1xvm/oWaesV8MfSp78xWelNfEgvTVmr2e4fuuI1Y1YZwIj8HKrbYjqdAxsDZHoIrEb/ju2BLCSGSea0dajiaHAfqrxPb+uAzJ+HvotXsPXdsz+g9lu+HnTnsA/kWp9sw6Hz1DdGfgAeIBYvQIryhQzXsC9BMMkVqzZuhX7fropHHTkhsx10WqatQOXynW6WmIGYGHg3xkuMxC42ioNHkqkZfGU5a6Yte9ekCY+ce1lYFFgeSK7KecPUYVAYk3gWeAAYHszIjPalQkxsxfwcrhNU5TYIvUekA8ALraO1heaPQesBZwJXIN0G/qpqUN9483q9wJewmcq1/xcpZaY8TCeVblHomb/xt+daiMWGsu3l65CtQOXybvDenHgAzN+yOLiSe3x9jSceywtgp/NHobZ/Vms22pizUSsc/CHgxOJbEBS3VDSASQWkbgZryk/D1jDjKdTuPTFeAypGXUbkCUthDcLj1O5oJlhdjOecnseeBbprKTtXn3jXYEOwUsxRhJrnsCKMsWM24CTgQcl5q3Vun95kCfemoNBqqq9fdbz7rDO2tC1NfBC0ngFpLnw/tRnY3Zjhuu2TKy++K54PnxXPCyonjpAYhaJ0/H78b+APmbErTknbiW3AKuohpuvug3I+IH89WaNOC07gtkEzP6M1zDOgdcv75d0/alfIjMiOw6fLvMYsRYKLSlLzPgrPpTgvqSZReas9AkvbD6Gl/AuXu0h1ylrsh8qMZCpZi6pJ74zvhmzCzNcs3li9SDWBcDNwDFEthORfRZMTx0g0VViL2AM/oCzghmnJGWMqZGM570a2C/N6zZHXQZkSTPgadbsGsWb/RezPYFN8HPHl5A2yGy9vBDZaXgq5zFiLR5aTsacBjwKDJfoXoP1Rv9tOJ8Bq6mqP7bj9XkPyJkZulTV/Lih606kGYE7gH/is27DEKsfXmc+O7Ackd0RTEudILEu8AKwO7ClGQOTKomsuBQYKKkW7//6DMjAtsAoM8u+gb3ZS8C6+Bv/EqQRSL0zXzckkZ2PdzoamYyDq0uSblKH420eb5LIOgvyRq8fWDJZc4iqmqGNr897QM4yZb0bMMwG8wNwPfAVcGCQ/tSxZiHWxcANwGFEtmvSdKeknUgsLnEHcCVwKrC2Gc9nva6ZvY2nxLfPei2o34B8AFnujqfFz5fvwGsJHwWeQDofKciIv5oQ2WX4CMF/EKuj5Tq5JTmPGgjMiJdEZdlicwywxCNXMwJ3th/cxtfn1tSV/NwyCchTa4+7TuFq4CJ8R7ozPue2tsRaH98VdweWJbLOPea1g0jMKvEXvFLmGWApM26tQevVhtTM3FV3AVnScnh/4rtqvrjZD5j9BQ/M3p9YOhjVaberyG7Af1HvT0o56hIzfgT6A0sDf85wofHAp/3eY2HcRHdc0gayteTZ1DU/MD7pjJY2vwfsx5PZBFgV2AazTJzcTRKrJ7Euw30HBxDZICLL4u/aKZCYTmJ//AGuJ7CMGWea8X0AOfcC80haJeuF6i4g47uZq8xsYjAFZp9itj8+qGEL4FWkTVMar5cv/Fxsd+AuYq0bWk5WmDEe2AzYUuLIDJcaDSxlFXsTb/XXfMvXX5LnlHWWhq5B277OmC7u5dgEs9p2Kou1Ee7yFb4rvq+m69cZEhvijvQBwEZm7GMW7vfaPNNyBR5bMkV5GwHaEZKuKh8C69Xk/Lg1eBDeFO+P+j5wBGajworKgFjrAMOAgUR2b2g5WSGxIPAEcJJZM7N227/ABcAHmJ2jqnrgQWwXq1jz/XdjzQCMB2bM4/B6iYOBpc3YP9XrVjXTDJP49K0LGbfQONagNS1y0yLWrMC5wB+BvYnswZqtXYdI9MHvk0sC/wcMr3FqukkkLYqnzOfPcrNXbzvkdYGPcxOMYer58j14mdQ9wCNIFyP9JrCydInsUbz/9VXE6h9aTlaY8SHe9/pMic0zWOINkiETyXCEI4GhqrZYVjcX8Fkeg3FCJufHO/yLk9b6gOkXGseGNQ7Gm+HzdH/AHdRlMG4nEnNIXAg8DjyEp6fvykswBjCzd4C3gA2zXKfeAvIuuMMyf5hNTOoh+wATgdeRjkRtdtLml8iewYPVEGLtGlpOVpgxGn/4uFJirZQvP+1c5Fvxc+GWTCV5TldDFilrafX/9eCImX/kVMz+leq1myLW7MS6FhgC7E5k+xPVOEVeJ0hML3Eo/nvRFTdsnZd4NvLI9XiMyYy6CciSZgK2whtX5BezLzE7FO8iti4wCmnrujlfjuxlPIV3OrFqVlBfa8x4Du/zfZvE8ile+hdzkZOezAcDJ6qquZt5XW4d1gnp1iBLS787KyOeXIjvh/dp0zl7+4m1Fb4rHot323q4JuvWGRJKskuv4X0c+plxoBn5GIfZNLcAmyjD6X91E5Bx89RzZvZJaCGtwmw0ZpsDB+J1df9AqtlAg0yJ7A1gHeBoYgUZ9F0LzPg77oa+V+K3KV32f0DXhkcaVrE38I5BZzbzutw6rCV64U7Z/6R0wYWA+/ffjEcnduUGq1i2zttYcxIrxs83dyKyg4msrdODSgCJZYEHgLOAw83Y2Izw07dagZl9ATyGDxvKhHoKyPlNVzeH2YPAivjT1/1Il6M66BUd2Tt4UN6XWCcR10kGYBrMuBlvkvKgxFwpXNCYZpeccDKwvqpao4lX5jll3QcYk0qPYWlO4IHJ4rwHlmBFvMwoO9wP8Rr+s12eqAVzXUmjSPxG4hLgH8BwvN1lEd3omaat6yIgy9+kffF2ecXDbBJml+I3rq+BfyEdh9QtsLKOEdmHwNr4XOUz6jgoT+3KdL9EzxQu+ZOx66c1KvYNcDRu8GpsRmveA3LH09XSzLgx8s7pKvwT92L8s8PXbYxYcxHrFvxhazsiO5zIUu2V3BmQmFHiKOB14Ht8AMRQM8KVpXaMEcCqkjIZOlMXARlva3avWcHTSGZfY3YU3uhgVeANpAGFPl/28XL98PPyocSql9+5aaniZRF3SnT0QWpaY9dUbgTGAfs28rW8B+SOGbrc/HgbXu97PDCIaecep0EsEWsHvNvW+8CKRPZkqmt0ApJz4m3xQNwXWNOMwzNqDFMzkoETd+I176lTLzfHYqarm8Ls35htC+yB33weowZdYjIjsi+B9YHlgSuJ628yVlKicTDwGXCDRGO72NbSWMq6ocFrsKq/KpvLs6mrY4YuqQs+4/g7YF8NZia8X/11qaibio8VvQ2oAFsR2VFENiHVNToBEisBjwCDgX3N2NKMN8OqSpXrgUyqSAofkCXND/TGZ/XWF2aPAKvghp7hSNfgf9/i4aUhG+Pj0uKkkUVdYcZkfMhBT+CSDvS9/lXK+qc1KvYaPuP79Gm+lFtTFx1JWXt26AJgHmAnzCbhwfgpq9h/U1Hnu+KdgVfwfuIrE9mzqVy7EyExr8SV+NjLGFjJjIcCy8qCkcD8ktIycv5E4QMysDlwX9BWmVliNhmzv+EPHR/hbThPwsu8ikVk4/H63RmB24gLfkbeCGb8gAeMlYBT2nmZd4F5aXrkWwXYTFWt1uBzuUxZS8wALII3VWgPJ+Ipz62wn9zUg5g697ijxJoP73t/LLAZkR1HlLFru86Q6C5xPG5++wzobcZlyQNq3ZG00rwbr+xJlXoIyFvirr36xuwbzI4HfocPrxiNtHOSzisOfrPbDvgWuJtYMwdWlDpmfIO3S90uaXzQ1gtMAt7BWwj++ssVG4sHkItUVRdidcUnHOVx8P1iwIfJg0rbkPbHMw4bYzYWQFUtgh99dOw977vi3fGeya8AqxBZ5uP86onknHhHPKOzMrCaGceYMTawtFowHI89qVKsm/k0yF2XffG6ts6B2XuY7QBEwGHA06hgk5Yim4if+78PPECsXoEVpY4Zn+Fdy46U2Lkdl3iDxo1dU7ke+BHYE5gT+JrIJrVjnaxpn6FLGgCcAGzIL3sL7AbcZJUOTHOKtQDu1j4c2IjITiSq8XSogiOxGt7T/WhgdzO2M+OdwLJqyUPAapJmTfOihQ7IwAbAs5Y8PXcqzJ4AVgeGAsOQbkRaOLCq1hPZZGBv4AXgYWLNGVhR6pjxPt6J6ByJTdr48kaNXT9du2JTSJrK3D2eJchhujqh7YYuaX18rvGmeA9h/3RVXfCJO1e3S4nvivcEXgKeBVYjspfada1OisQCEtfhJaaXA6uY8WhgWTXHfFTqY7gvJjWKHpA7R7q6KcymYHYdfr48BngR6dSkXjP/+CCEQ4EHgZGJy7WuMGMU3tnnWom2ZDKaNHb9dO2KvQwMO+ozjia/Ablthi6vJoiB7TB7ZZqv9sUnWr3QZhWxd/fCe4L/kciqRJbXnsm5Q6KHxGA8vf8+fk58dSrNXopL6mnrwgbkZNTiZnihdufGbDxmg4EVgIWBMUiDCnG+HJkR2XH4Tfix5MZZV5jxNJ5qvUNimVa+rKla5Gk58f1JrP3g+Nw2Wmh9ylrqjb+f98Ya7Yg1kLbWHvuueF/gReBR4PdE9mqrX9/JkegisSv++7gk7pw+wYxi93xIh7uBjSVNn9YFCzsPWdIawCVmtkJoLblDWg04H3czH97EzS1/xDoMPxdfn8j+HVpO2iRnyX8G+ibp7Oa+eWa8jGkW3NXZJAecr5se/I513p7I/EkqOxckZV9jgYVbbAjh5XxPAlXMftUOU1XNjM86X8oqrexXH+u3+GD5WYBBRHU4hzxDJNbE7yOT8b7TTweWlDskPQccY16i2mHyv4Nqms6drm4Os+eANfEG7tch3YoP2M43kZ0PnIanr1u7kywMZtyADyh4UKL5edjede5zoMWMwYW/4f0fvRXhbmnoTJH5gO9aEYxnx48tLm4sGCdsBzzeqmAcqwuxDsTbaj4ArFEG49YjsYjEzXhnuPOBNcpg3CSppq2LHpDLdHVTmBlmN+MpwxeB55DOQjl3NEd2OXAM8BCxVg4tJ23MuACfcXyvREtj3FqVtp5OzH3C7FwN/FnVdF2fHaRlQ5fUA0/93QfNjlEcSGvMXLEWAx7GXfxrEdlZOXWf5w6JWSROB54HRuF9p2/o5OfELTEC2EoptTcuZECWu4nnxH9xSprDbAJmpwPLAXPg58v7okYHFOSDyG7AzTf3ERespKt1nIA7fW+XmLGZ72vR2JUw1z69eBZ/Wj85BX1p0byhy8/ehgFvAkfTxPmZqloUr72/u8lrxeqaHHlM/TmsRWTpzV+uYyS6SuyJG0PnxycxnWxGOUyjZV4FZgAWT+NihQzI+LCCkWb5OS/LPWb/xWxPvGHFTsBLSXlJPonsDjwFexex1gstJ02Svtf744Mirmum73VrjV1Tu3T9CdhRVS2fitCO07Shyw2HV+Hnk3vT/Ht5dyC2ShOu6Fi98RKU/nh6+tykrK6kBST64RubQcBWZuxuxkdhVRUH84fIR/CY1GGKHJBTOUTvdJi9iE9eGgz8FWk4UqMdoYIT2QPAAOAmYm0WWk6aJG0Fd8YzPRc20fe62VrkBswNfGoV+xw4Ce/glYcJYY2nrD29dy5eEbADzbS9TWqPd6exdLXviv8PN4PdDKxDZPU0xCAzJBaXuAN/KDodNxpmM8qy/nkEv6d2mKIG5HXxBt8l7cHPl28HlgYeB55COg9ptsDKfk1kj+I9Y68k1nah5aSJGd8DWwN/wAPptLScsvYZ03Px82CJy4GZoF3dwdKmqZT1scB6wJZYizOG++FO7Zd/8dlYS+GBeHNgdSK7MKlrL2kGiV4SZ+OjQp8FljJjWJK1KWkfI4F+aZwjFy4gS1oE6EYaA887O2Y/YHY2Hpi74+fLB5FiXV0q+OSdDYELiZU3J3GHMEmCdlgAACAASURBVGMc3s1rF4kDpvny/4DpUbNdzGYDvps6EMEqNhk4CDhTVfXMQnNrkOgJzIqXKjX8wl54h7aNMWvNbNyBwFU/1R7Hmo5Yx+IPktcC6xHZ2+kpr08kppPYHz8nnhVY1owzkofCko7xLjAJWKKjFypcQObn8+PyiS4tzD7FbD/gj8BW+ESptrZ6zJbIXsF3VacRa7/QctLEjP/hDxzHS+zQ4AtGy2nrX015soo9jZf7VFIX23r6AGN+4dCVtsVNZxth9nFLF0geKLbEm8ZArGWBp/GWuasS2cXlrrhlJDbEMwzbAxubsbcZravlLmmRBufIHU5bFzEgl+nqrDB7DQ8MRwHnI92PclQP7K7ZdYCjiXVkaDlpYsa7uOHuQokNGnyppbT1XDTeNvNYYDdVg/37/dLQJa0LXApsjllrRzEOAEbaEnxFrBPw9/3leOOYd9OVW39I9JG4G+8LfgKwntk0qf+StBhJCsauQgXkJEffj9LQlR1+vnw3XiZ1H/AI0kUtpE1rR2TvAGsDexOrkpyh1gVmvIo7hW9IpulAy07rufn5/Pjna1XsU3w3OiSQwetnQ5e0Em662iExFbaWgZvOxCP4WWdfYGUiu4yozI41h8TsEhfgaf1H8PT0neU5caY8Aqzb0XPkQgVk/p+98w6Pon7++GvSgAQCAQVBpCpNFEFQsWBDsVE02A57AeyK/hQV3ayKHVEsX8UushYERawUe8ECVhBQEOyItAChZ35/zIVLQspe2l3Cvp4nj5jbMnu529mZz8x7oBUpNMT6FgMqE9VNqD6A3Vi3Aj8hMgyRlBhbBiH9A4uUM4G7aphT/gQbqfi6yLYoM6qUdT7+h/Wen1KhRvrDCrpE9sBGHQ4lCnnBViOlY5rQ7dVmjMAmmh1DSH+rJFtrBCIki3A59iCUDHRSZVSZZlEHRIWqLgY2cCYPluc41csh78FQ2lGXLE4WV/aNM1WimonqclQvx6LSI4E5iPSngpRpykxIl2LZksOAh/CqwSANn6gyBVMre/derl5J6RFykQ5ZHd2CjWi8N6wFXZV0yOSV/8hby7aqfn940q1/XT4YUJelKcI+hPSpICouHhFEhOOBH7CBO0eocnF4JndAFSCu7Mwu/MkKLinXcapLbZS4ksWrODQHegB2E6oLbAQWFvPzdzyJ7dcIRPpgPaRLscEVhUfkVS2epGMKTouAC2qSTKIIV4Oet4yd2+7E8gxU12+3kSePA18T0seKPY4r44A/1dHhlWhu5HxCMuiadaT9nMr6F8JKcaXjSS3gpi3K4AYLSdyoHL7ZCSYzlYQInbHvYwtgGPB2kJquGsSVXbHRqplAT76hFgsx1XVw1dGsqI9ZXRwygIjMYTCd9DEVgPDaWGOgbfinTb5/twXSsZL0RWzvrBero0EqpyyIJGGtK1mYTOEIVGM3j9eTVGxg+mrgjJo051aEu7oy+7LHufDwfXXWF9tt4Mlk4GlC+lqxx3ClKSbxd7A6Or/yrDU6yk9d1lJ35u+0eAx7aCv9JuNJD0ykYuH+vzH+y40MV0drnJZ5RREeTnIL5gxuBR5VjdsRnDUGcaU1cBL2vnfAlmMmAu+SRRsa8qMu1zJnD6uNQxYToV/GDYzSkXqTr30sTVfYSef9NAf+oaCT3ua41dFVFX4RNQ2RBlj15jnAvcD9qMamr9Giq5eAJGBgXl9udUcEOZ43fv2evVf9Tov9VCn4sOHJTOAqQlriNB5x5Sqs37lPVPOEozc4aSwXfvYU5zWbSc8WpUhigie1sQe7c4GrgBfkZ54HvlBHx1SandWUsPb5ZdiSxnjgFlVWxNaqmo240oGIE94NmIw54ffyy7mKSCKJrGcrO6vq6jKdqxo55IOA+1W1R4Ucz5Vk7M0tylm3JUiF+8cKd+4GumA3ild8RUUVjSfJwLPYump/QlojhqhvkNq3788XJ31Pl1nAmQV6ez35FWsDKlEcI/x5/wa4WZ0o1nOjweoKnh7GqJ4PctkbmzW55NY0GxzyFDAXuJiQLhVX6gNLgN3DUqABbJstPQCbiPUTcI0qlZ7t2BEJZ173xhxwJia+Mwlzwh+HazOK3lfkU2BEWecjVyeHfDnQSU3AonLPVXoqvD6WCi/KWe+4qXDrNR0NrAGuRHVWldvgSSLwGFYIdTyhGpDpEDkjm3r965PdBHOqV6qi4erydUBjPw8f4sph2ANLR3VKlawsi513A4fUYsOiTdSaocpTRW7nSR0szXoGcDkwIa9oS1y5EDhGHc2scPuqKSJ0xdaJdwKGqTItxibVOML3/B6YAz4Jq1KfGP6Z6TcAE5EHgN9V9d4y2VGNHPKzwCeq+njMbQlS4cVjYx3Pxda3pgI3+FFlqlCs4no0cDDQh1A1j7REugNPCHoY8CHwsioj8aQe8A8hTfN9KFdeAH5Rx9+yTxQ2/h+2dHGIoO9gDw2fbbedJwdjUfE3wKWEtEAlsLjyGXCHOrrDzzoXYRdgJFY57QBPqlJjihZjjbiSCBxIxAmvJ+KEZ5dlaUdEzgKOU9XTymRTNXLIPwJnaXTCAlWOuJKEVTzu2KlwkXTgemAwcD8wyscggYrDoseRmPTiUYT07yo7d0UjUhcT/6graBPgE+AuHS/vAVMJaRvfh3KlOSajeIA6+ksF2Xcu5jAOFvRPrLiuVYG1TU/SsL/HqcAlhLZPm4sr7bEHjt3UKX4CVE1HhDrYevow7OFlpCplWpMMKEh46SZPw+BErFtkIpaSnlPe+goxZcPXVLVMutbVwiGHC7r+BTJUq28F7Q6ZChdpDdwFHIA56BdKLfSpSDy5AYvYj6zWwhIivwO9UP1VhLbARyd2n/TwpKsy+xLSnlEdypVrsZvSCeUu8BLphy0RHIbqfBGaAd+o0mTbNp4cCjyJKW5dTkiXF2PX7UCKOnpNuWyqpoTXiU/Bvi+zgGtVCQZnlBNxpRamf34S9oC+iLATVse3jKu/c1mGcDWwa1kKu6qLQz4QeKCiCrrilRJS4W2wArT8qfACrVxxnwoXORhLI2/F1pdnVtm5PbkCiziOIlSxX8AqQ2QacB+qb9v/0rVW0ob3n7vorDmnjHn5oKgO5UoK1gb1f+VKDYv0wm5sx6H6VdiuI4GbVTkUT+oCd2KRyEWE9PUSbErEirmOUUd/LLNN1RQRemDfj1RsnfiD2FpUvRFXUrGugszwf38k4oQr9cG8PIVd1cUhXwbsWRUFXfFKOVLhi4C/4iIVLpKAFfLcDnwEDEerKGr15ALABY4mpHOq5JwVicgY4FdUR+f96r4zho3Kmph18ZoN6QerElUBnbhyFBbZ7qlOEYIjpdvTBZgGhFCdHvk1lwB76XiZADyB/Z2vIqQltuaIK32A29Sp2Q/dhRGhOfZ96I21ED6rytbYWlU9CU8HOwFzwr2BrzAn/Jo6VbdkJfZd/a0shV1JlWBPZbAvNox8hyVcar8o/FOgyrKYVPjhwAXh/68vrsQ+FW6p6ucQmQhcC3yDyCPAXWgltyiF9Ak8yQGm48nxhOK7FqEI5gH75P/FsONGZ2/akjLl+pfunCLCoar4jv7V0Wniymzs7+BGZYlIG+At4NL8zhigTkrO3hce/nhnrBBpKCF90+dRzwGeicqOaowIacA1WJX5o0B7VdbE1qrqh7jSCEtDZ2Lyvh9jTnhIDNvmZmFRedRUlwj5K+Ayrco0Zw0iilT4dopmlZoKF9kNuAN7eLgReK7S15c9GYBFhicS0u2rgOMVkSOALFR7bfudJ48Ac2WQrseiq4NU8V3RLq60wKqdu6vjc5yhSBPs4XgUqv8r8JonR/e65cPJZx3y3IcXHP7kqYT8raGJKxlY7UQbdUqOpKs7IiQAIexz/ylwnSpLYmtV9UJc2QXryc4E9gOmY074TXXKJshRkYhNN3tWVfeOet94d8jhcVargZaqujLW9tQ04iIVLrI/VomdgkktflTuY5aEJ32AccBphPS9Sj1XRSFh+UvVnbf9zpNXgJcI6QQRhgODgF6q+P6eiCs3Aj3U0QE+bKiPzX19DdVIVO1JfWAUcFSdc3JSN2yu0z0aJyOuDAWOUEdjMZWqyhDhQOxzrsBVRbaFBRRJ+OExTzd6byxDMxF4Rx1dF0vbCiP5uiI0ygCjOqSsmwAbAmdcOUSRCs+LsCs+Fa76BVa4dyowDsuIXIvqonJfYFGE9F08GQi8gifnRpFWjSX/ACmI7IRuS8Xln/R0F/a3miLC0ar4bTG7F/hRXDlWHSsYKxKR2phk4KdYj7nhyXFYxuHNERNuPXDD5joLgN/9XxZg6epbStuouiJCS+zvcxDWaeAVUFsLKBJxZXcialltMd38u4Hp6sSvNK6qrhWRFVj2MarsR3WIkHsBt6vqwbG2JaAgxaTC8/6/bKlwkTpY/+UwrChoJKrZlXIBnuwHTMEEKiZUyjkqEpGZwNWoWj2FJwuAfoR0nr1MArYO2xA40e+wAXHlWGAM0LnIhygbJjIBy5aEUM3FkwysKvhQbMrWjHCl8FhVuvq+JFc6AjOAFiVJElZHRKgHDAeGYu/vvarEVTQXT4QDgE5EnHAT4DUsEv6gOvWmi8h7wB2qGpWqWnWIkNsBC2JtRMD2qKNrsfaZ7UbkFZMK75H3b3Gl6FR4FouAOzSLp4HbgPmIOMCTqFZs9WlIv8STo4G38aQOIX2uQo9f8czDJEHzChwLzEJWJVeE87Gb2BMinOsnElNH3xZX5gJXYxW/EWzJ6FEgDTg17Iz7Af/DJmztlU+2syOmsxwN5wDjapIzFiEROBv7/E4HuqjyR2ytik/CTrgrESechol0XAZ8qk4Ff+erjgWY74rKIVeHCPkeYLmq3hlrWwIqhmJS4UUKpLReSfbZ37Jfp2UkLk/FvegEXqzwqnBPOmBfnNsJFSpUiidEhgM7oXpNeErSaqB2ng50ZDNSseuZiQ0hKPVLHh4r9zXQtUCfpkheS84RjKcWFukdAJxPSD8odN7bgQ2q/tLP4Ye234De6uhcP/vEOyIchmUOcrB14i9ja1H8Ia4kAPsTccJbiUhWflWp08iqCBEZBrRS1cuj2q8aOOTJWMVa5UyoCYg7tkuFK22bZ9MzUdnzz3okCPyzOZEFFBFhl7kq3JM2WDTzCKGyCcNXOiL9gQtRPQFPWgKfENLdit6UDKwHeJwqd/s6vCtZWF/yyeGDXAUMAQ5mPL2Ah7ERlzcS2r6QRoRJwAuq+Er/iyvHAY46ur+f7eOZsHraPUA3rJVsgp8HoR2F8MPXwUR0o1cRccLf1wQnnB8ROQG4VFWPiWa/6pKyDsaM7UAUmwoXqbU+iSv/SOe691uz/KbDmftvXZpSeio8bw27+KrwkC7Ck15Yn3JdwC0cecYBeSlrsAzD0uI2VGWlCMcAn4jwX7GTlwpyFzBHXOmtWTQFrqIP/TiLh7G04smE9JMS9u8YttEv5wBPR7F93CFCfazl7DysQG6QKtELrdRAwopwR2BOuD/wB+aAj1RHo/mcVEfmY74rKuI6QhYrJlkLNNBYDb4PiD+sF/YWrBfxVuAxVDfnS4UXN4mrdK1wT5pgU6qmAtfGlVMWScZGWzZgPL2xGcLHlbwL7bCBDRep8lqpp3ClX72NPLzsblJqXc+ddOQ64HngZkLFDwcRYZttqpT6XRVXGmJ/i1bqVL8OChGSsG6DLOANYIQq/8TUqDhAXKkDHI054RMwx5QnWVk5XRNxiES+q/VV/S+xxbtD3h2YpqqtY21LQBwishe2XtcMGIbqOyVu7q8qfFGq8MdlDTgsI4G5zgpu3Kj8Ejda4SJzgdMYTw/gYEJ6bum7sC/wNjBQlRJ7vDcnyoHHn80H3Trw253N2QycR0g/93GO9sCbquzu6zJcuQQ4RJ2yjamLJSIchX3ulmG609/E2KSYEv5eHYc54T6Y2Mwk4FV1dIctZhOR+cBJqv6leuM9Zb07+JcDDNjBUP0BkaOwJ/EHEFmEtQUVWSDktyo8R2n70CpW7F+b0C6JTF2yhZQiUuH5W7mqUit8HtCBQhXWJaHKLBFOAyaEe5S/K3LDJOmcfBBvP3gg67v9RbP3fqPzl8N9RzVlSVePiGL7mCNCBywt3QGTvZy8o64TiysNgL6YEz4C+AyLhC9TR/+NpW1xxM/AHkCNcci7QtAuEFACluKZgsi7wMXAh4i8hMlM+tayLVIgxZPrgVdzlewev3Pl7I0F2rgOA86n6rXCf8IcQiNgsd+dVHkvPPjhLRF6bTfWr6/04Go+oi3/tU/lpByl/1cbGQmc7vMUHfDZ8iSudMayGtNL2zYeEKEhNu85hK2zZ6pS/UahlhNxZWdsmegkTOTkfcwJn1sdlx2qgD+wz7lv4t0hNwOq72D5gKrD5mTfj8g4bF3vp3DLzsOUdYZ2SHPwpF+C8NKsFowFBhaVvi0iFd4Ji9rbAruJK0sp2lmXpSp8HpYeBJsv7BtVXhGhEfDu/WdeGbqy39NPs2VdeyT1X/rSmF+YTl36E9KNWF/yXHHlMHUKtjcVQ0coOR2ej3OA5+K9xzS8Ln4RFsm/AnRSZVlsrapaxJVdiUhWdgPexcRnTlFHg2EYJfM3UTrkeF9DfgSYo6oPx9qWgGqGSEdMX3l3LL04hbJ+2D1JBp7F0sT98wlhlG5G9FrhJafCRXoAYxnPSmAkIZ0RzaW4rpv0/POhUU3r/zP0oayZSWntjk9I/vs1av30ePajS89p5DjONoEOcSUTmwTVtTSVJBG+wNZTS5zKJq4kY9Kah6qjcdk9IYJgDz2jsD7pYarsMDOaxZVWRHqEOwBvYpHwu2Ua1bmDIiIXAgeo6vm+94lzh/wa8FzQgxxQZkSOwW6s/2CDK7ZbP/aFJ4mYYlUn4HhC5S/yCleF70zxznq7qvDmq/lr6jjGtbqPxXUSOZWQ/lDSOVzXbYRF692xMaZ7q/LXljVJe6zZ0pyuXYXcrZvIWfo9yzc3ysHW12cBszax6Y3buX088JY6en+x12EObBXQRpXlpVzzCcAN6uiBpb5BMUCEztjnpSWmXPbWjrBOLK60J+KEW2C65ROBGeqUMcO0gxPuRb5EVX2PYox3h/wFcKVq6VWeAQHFYu1zg7F1wMnATaj6KogqgCeCVdf2Ao4mVLnzVotIhbcB2rZayZF/ZZC4Bf7MtcKRAmnwWtRauAd73DOQgclY/+d0TLXra+Abx3Gyt76YMefM5z7tlJPcjgm33JebvGDkPHfusAOwfuN9MTWuo9ex7qOXeKnXb/z2pDp6TZF2Cs2Ab1Vp7OOa8iKtseV7dyoWEXbGsgEDMcnL//nVAq+OhB8G98bWgzMx/fNJmBP+uCZJmcYKEekGPKWq+5S6cd4+ce6QfwMOUdVgXmhA+RHJwNYDz8ZUlR4g2v52c8q3YcUtvQlp1dc4JMv0zU9z2C6/0mFFLq3JF1V3otM+B3NwyzrUScgg41rgacdxCj44iAiteX7jFRn9+z31QmpG3bWrnxk8aN/aZ28oUFHtum5D4Jx1rBuRTXZGU5oOcBxncmFzRDgCyFKlV+HXCmznyk7AL0DLeJhbCyBCLUw3+TrAA1xVauRM5rAT7kFELSuZiFrWzCrsFNghEBuZ+q2qNvG9T7w6ZBFJADYA9aJprA4IKBWRPTCHvDcmczgx6vVlT24AzsWcctU+MDaXp7iFgZyn6Xm/cl03AxidQ07/yUxusIAFhDOtrjqaVWB/ERdLYx8u6FZs2tL7qlxf+FTiSpYgzu7szjEcw3rW/9Cc5oc7jrM8cjguwVLhQ0oyW1y5DDhAHR1U5muvIMJp9v5YG9M8TPO7xqlHiSuJwIFEnPB6Ik54dk2TrIwnRCQR82Gpqv4mVSVUrknlohGQHTjjgApH9WdUB2BKSzdhrVL7RnWMkN4OPAR8iCd7VLyRJdCSf1gbSae6rns88AOwLpXU3eY580RR1FHZ5oxF2lC//hySkrZSt+7w7+FKgRSQVBh7CuT2F2GYCFn5T6WOZuU6ufIzP9OIRmnNaf4e8IPruv3zbdYBfz3I52IVujFFhH2A97BMx8WqnFCTnLG4kiyu9BZX/oe13jwMrMQK1Tqoozeoo7MCZ1y5qE2nW4YVg/ointuegpangMpF9T1snedc4A1E3gFuRPUvX/uH9AE8WQu8jyd9CPlX5CkXHVjFKhJc1xXgRuzB4izHcd7Lt5Wb9w8RSZhSp857X/Xo0WJWcrLM+vTTlJUmpxlOzQ5JhYvWwhG3Qc86Ird+CsxQLZDCdB3HyQGudF13EvC067rdgZvByavELRZxpQuwE+YIY4IIu2BO+ASsNe4JVWrEWqm4UgubypUJ9MOKAScCvdTRQFwpdvyF+TJfehrxHCE3JXDIAZWN6lZUnwDaY8pXPyByEyKpvvYP6ZPA/wEz8KKMsstKJzbof9TBRCpOBXoWcsaoo1kikiE2sWnejevXt9zctauce8EFzPzyS3ISEnJVdSdV3QlIg8/Hw8V1IBfoOhUa/ici14hIo7zj5R3bcZyPgJ7kKaShflS6ziZGvcci1BbheuBHLFLsoMqj1d0Ziyup4kqmuOJhXQTDsSr5bupoD3X0zsAZx5y/MV/mi3heQz4T6KOqZ8TaloAdCJHWmKPbH7vBvehrfdmT/sDjwImEtMRe3HLhSRuS6n32/tIeTX5a22njQRkf9ewy9LsCWsoiW1xI/geLBt8GHtlar97jCSNGdODSSxN46KFcRo6cx+rVexY+vAgKkgDshymfndAOHppbr97AxJyc9qSlzSc7uy+qi1zXrZ+gWz/5bOaBnd84s+/WxJTU+WzO7kuooNxmuPf4D+DgqnQQ4XXik4G7gdnAtar8UlXnrwzElXTsQSgTi4i/wiLh19SJQYFhQImIyJPA52oP/aVvH8cO+WJgL1W9KNa2BOyAiByCtThtxvqXZ5a6jyd9gHHA6dEKdvhmQv05s+tc2/GzX+vJOQfm5NZddMc8Tl69Z7haOANGdoYZ0+D9L4BzVfWn8PW0IT19CuvWFXCqhQ8vQpZqZB1ZRNp1S0j4Nq1FizpPvf46u7/1Vi633z6f1as7Abx3y/G/vrmqT6tTT+nGfvU+zWXu7fM4uaCjF1f6A9eoo4dUyntSBCL0wP5+aZiwx/tVde6KRlxphKWhM7GWu48xJ/y6OpXbehdQPkTkfmCJqo72s308ryHXw8ZXBQRUPaofI7IfcCbwCiIfAtej+lux+4T0XTwZCLyCJ+cS0hLXVQsjQiImBtIQyCjivxkXHD2q4y49VsrXs05n7NhGCSv/GtTpj1NYB6TAR1vggdqWQZ+2PySeCmHnas53u4h4+8suVNSlumBLYmLKg0OHcuCRR/Lyc88lHLZuXUdE1gEr/xx61q7L1p3KBx89S9tzzkhotPnGTlwpM/iCz/mCH1FWNr6Gq3ZZy1tY+nsVWnlpaxF2Be7AosebgGdUiWuJzqIQV3bBWusysWzNdOAFYFC8tIwF+GINUNfvxvHukH1LFAYEVDhW1PQsIhOx9qhvEHkYuBstWj5TBunHX93a/ZRGdZe//M55F91z8dP/+5oiHGsRv2uIfeazsXXOlVjR1bb/iuQubdntt02N6jZPufbqetJg1bNa7+8Hftnj8m/3hcR9IfdloB/831RVpKLehqS6dedfJdJhn2efTThl4EAeT0lZ0n/9+s5Aw9mLe3zbtu2CBoccdIBMfvlJzkmrsyIheW09zuEKBsHf37NifS2af/gQLcPvYToia/Jd23bXWczvVgBri1s+ECEVexK5HHgMaK9avR7oxZUWRHSj9wbewtThBqij62JpW0CZWYt1DPkinlPWUYX6AQEViQi1KeREOzFn92N5e1AiW9t9yKFffMl+/yoJhR1sBrApOXHTmt13+aXRmvX1fvljxW7zKN7J5HdAq0uK5lzXHZokm4cO7/BwcuKWNR1YWSeHjLVdZBDpwFTgVFV9v3DauQLejG3p7mm1av1+TE5Oei4co6pfNUhd9c7oc27Y8+yDH2/6xO8XbNy4NXnUZTeMuTksoNJ96L/csXwr+01oygpgEht5lWHMZRUN8P+gkvdaLUyic9v7t4XElSO5cefRXLV/KxYvuovrnu/D1J+3e4+jFYCpIsSV3YlIVrYFXsfS0dPViU+bA/wT7dJrPDvkqBbDAwIKI0IS0IDobvp5/06iGOe5F9+nZjLxyJ34Tz+n56PjOeMTIo515bbRfJ50wBzlnYT0kfJci+u66VgryyGO48xFpAPwhlgaejZwh6o+X55z+EVEBgK3A/uAfg2cpsr3ruvugU2g2t1xnBUA4sq3CTBs6x4sI+J4GgGvYo7nI0I+ZRpFUsj3N8rCOfBRhg5NIDd5JDfOOJdn1lD833krpT8QFfXfVWjFyUiG1bI6EXkvdiHyXnxQ2hCPgOpFtMXJ8eyQXwYmqeqLsbYlIHaEK2Xr4c+JFv5vGpEUcLQ345wShwqICHAaVpH9BXAtqr9ut50nrTElrEcI6b1lfR9c170YOMJxnIHh8ycDa2rDAxttCHqmVuGXWURegMR/YMtFQANVNoTtHA987TjOaHGlK+Zs2hSQZfSkHRGH1JJ8USGh0gcZiNASuBM4BLgeGK9K8bKP9rdKpeTPTHGfo/pY2tHvZyf/v7NR1bAT7prvmtOI6EZ/Gu9jKAPKjoicCJytJkRU+vZx7JDfAh5Wja4wJiA+EaEOZbshNsDk/vxGNPn/vbrEG3XFXFgqMAy4Cmt7uh3V7ALbeNIcK8p5EXAJRfelCwuAfA9csa3fWKTNrDp1fjpu/fqUWXXrzm++du1xRVVNVxYishMkzYEPa6seWD+frQcBTwMdssgaDaxSR51iD+RJKyIDDjqRb9QfIc0peE7qYa1oQ4EHgXtUqdy1VZPwTSfKB8KtQsYXu1Lnpc5smtSRZIGtRy3krxN/4udjfuGXJC3FuWsw5rAmICK9getV9Ug/28d7UVe1Ksqo6YQHp6iYfwAAIABJREFUtudf+/Ob/m0ICCU70flF/G4FsEqV+B3/ppoD3IbIU8BIYD4iNwNPbasmDukfeNILmAbUxZP/i9IpH4wNAoi07qSnT7mvdeuU4aefTnORPRg5cgo+qqgrClX9T6TfqzB6iEklb+MzYP0GNhwNhLCpUcUT0sXAfcB9eNIMK2q6DHgGT6YCExcubfPW7sMWZmLv7wygi6o/5aNyY4V9q8I/JRKefX0wYd1oUX5ruJ63M+fy0UNvsSw5d7vvRwugC0V9h0SU6B9AV2Ap9iDtHT+swXyZL+I5Qv4WOE9VZ8falpqECHlP/NGmfzOwtN8qoq+OXQms3xHmyoY1sUdjqc6rUI0oaHnSEBPqmA1cQsjfdJ3z3fO/bUGLZxzH2TaTeGli4pYO6emJixYtIqNWLUhP38qWLVX2gG2a12scyzj/AOzq5hWSua570XKWhx7kwd3U0VZlOoEnOwP9Xv16wIXuRKfHlq1Jqy/q/b8xlxz9yAOEdGUFXUa5EVdSgCMwJ9wfE0CZCExUR8umj20p9jqUrfahAZBD2b6j2Wgw8akiEZE9gVdUtaOf7eM5Qq5LECEXSXhdNZXo078ZmKPIofgv6ApsRF5Rr62p9BRwdUd1FiKHYmnYJxD5AbgG1Z8J6Qo8OQqYgkWA55VW0CSuyKVc2gVLeW9jTFLS8pP22GPnjFq1hIceyiUtbX5lXVJRmPOtlyVymkLzW1QLTJSaXotaozCnUiZkkKZjwxCa7prxxwVLxrTcnJiQmwkswZPPCatTEdJ/y3EZZbPNlTrA0ZgTPgHL7kzEJlmVf9nAoqSc8M+f0RknCRSsuSjqHtCmmNdSEVlN9I58JZAT9cS0HYMaEyH/Dhyoqr/H2pbKQoS8qtFo078ZQF5KK9pCk1U1efB6XCFSG+uLvRZ4DrgV1ZV4kooV9awBBhVXyCSuuLWodfPVXM2d3EkuudtGKaaKzJ5Qp07G8Zs27VaS8lZlI/Lsk3BOV1Xtlve7BDfBvY7rbh7DGHLIgaJGQBZ7POpjAzPOB0YBo1WJrKd6Uhc4FnOGxwDfYu/lJEJaaWlscaUu9oCQCfQJn3ci8Ko6lXfeKkUkryuhLAWUCZStzmMlWnohX3VFRBoDP6pqY1/bx7FD/hPYT1Wje0KsYsIp4PpEn/5tCNSmbKmllQVuUgHxjUgT4BZMeekW4DHGk4gVeaUAAwkVLOIJz7Ed2452+x3CIZ2fcJ6QyOEkCVs6aKaFC8iqGBGpAywHMvKPSnVd9/1xjDvsF+cXXwIl4Ra187EpVW8CI1RLGS7jSW0ikWpfYAF5s35D5X84EVcahI+biaWlPwsff7I6VR+ZxzX2OShLxq4BsJGyrZevjvcUuxU/Mi88xKVU4jllnQBVkx4Np4DTKNu6an0s0inuw7QMu1EU9dqaHWJddUdHdSkwJKzydR9wMYO4mvGcgs0HfhNP+hEy9a/wMIbngJ0zyfT+4I/CLRMdgT9i7YwBVHW9iPwC7AV8ne+lWV3o4uv7K8JR2PuyHDhOFX91IyHdgLVMvY4nKcDhmPOciSd/EnHOP/m9HnFlZ2wtOBM4CCukmwicq078rF3HHVYVvh4bN+gfWy+vR8n33JbFvFYvX4o92qBmXRWl2HOJYqpinDvkH4dhcni+iAjsR53+zQC2UPIf9I9iXltd3ce4BVQRqt8jchQWdY1hEL+Qxv8xliuBqXhynPzMBuAl7Et8Qi1q3dWWti8UOlIX6B4fnzmRNplJSS2O2br1C+rXn5cvdb5wb/YuUcNXhPbAvVi70/8Br5b5AdXS/u8C7+LJRUSqnafhSTZ5zhm+K1zhLq7sSkSyslv4OM8Ap6ijQR1LZWJOMTv8sySqfS1TlD87Wfjevgv22SrqtSREypSdJF8mqBT72vxXt+6bbdeuzfB7SfHskBOh8TUiTMe/Y02h5DdzUXGvbVNXCgioTOwG9Doi7wCXsI4POIMXGcv32bX5oJawcqPyL3CGOrrZdd06UHh5Yqcm0L3KWpxKJD19yq577ZW+pm9fQaRDvvar9RRT1CVCQ+Bm4AxMWGVghX7/QroV+BD4EE+uxEZJZmJrzYonE8eu5rOL/mX3XCu+64ClyR8A3lUn6AGuFpiC2vLwT3SI5AVvxQVubYt9TWQTfhx5vXp3Jl199W65o0b5NiueHbJY6yrvAHOAT7CL/Qf4iaId67ogBRxQLbBCltGIjEPJWnUpAw+7lsT+9Wl138503vWsbb2kyRDJwFi70QgHFoZnF7Ot3SgmrFvXPqV7d9ksApdemsANN7QPv7IZs30b4T72odgUpklAJ7WHj8rDWstmAjNTXHmifQqXrsrlzHW5DAvVY8OBtZlxUl1uapLEB2FHHrAjYFHuP+Ef/1iKPY2SM7C7ARnk5LRIGDpUcu+5x/fh49kh54JSkVNrAgLiDtX/xJWbUzdx6Ak/ke5BauKxfMmz0pOzdQmwAcv85PETbF0KG5vExXcjLW3++i+/7Fj7pJOEBx/M335VC7M9r0bjWKxq+g/gSFV+qGzTwpKVexGRrGz44yYmYYIlH4/bhTwJz1FAUzx5DUtrv08oENcIKALLcK0N/xQ/ihWgfv3OWx99tENiYmKNWEPOhX/vhZ1jbUdAQKUhrjQBpuWk8NbLnRn+UhbHsImn6cM8BsjJdM3KIdzHGJ71OwY+vBcWXRhTw/PIzu678Msvvz1o5sw0UlOVdeuGhF+pC+SIsCdWsNUKuBp4szKzWGEn3J2IE07GnOxgYGYBTW2YG/65FU/ahre/FdgdT6aE95sWLh4LCIiO7Oy+m++9982EtWs7+N0lntue/gb2VdXoqvYCAqoJ4spumODH88Bt6oS/jCLJnM/TdOP0D9/vNfuzPQ5adMMdt5+GqXzNBHkam4TWLGbG50NEFgNHqzm0o4DeN1x/+zOzZu3baurUoztgkpf/qywJ1HCL2IGEJSux9eu8Iq7Z295Xv3iyG5Eiry7Y+z4ReJtQMJc4wD8i0ghYoKq+ZiLHs0P+AzhAtYY03QcE5ENcaYs54wfV0fuK3OhRGf537da3v/r3sbLpu3rZN066aUnO5rR9QbZg7XR7x/qBNdxnuRDIUJAN1Pr4kgYPr6t92sbeKf9u1OHHPrygSerC4yqiL7jAea017FDMaQ7A3o88JzwnaidcHJ40CR8/E9gf09KeBEwhpKsr5BwBNRYR2RmYq6q+Ur1xnrImMdZGBARUNOJKR2xO8m3q6GPFbtgo/cydOwzWFZNz5aEZF6fPuuaQDh3u+KYfMEngS6xPdkLVWF0sBwGzQFWgXzKbmh2164wWPZt+xXX3XSHJv27egzkVM/hCXKkF9MacYz9sPvREoJc6+nN5j18kIV0KPAY8FtYi7wecCjyCJ5+Ezz+ZkP5XKecPqO4kgv8lmniOkOcD/VXLKNAeEBCHiCv7YCnQa9XRcSVu/ELSli0nZif+3/XjadH8SK5q2i6XQVvnACsHwde/JSYO+Rhqx1Y6c+/5kO7BJ4cCTYBhfzy521uvbxyecNFFl8CWHJiQvpXTyzb4QlxJxSQyMzHpyh8xJzhJHS25qKYy8SQdOJ5Imv7rsF2vEtKSFcYCdhhEpDXwvqq/ISvxHCFHJcodEBDviCsHAJOBi9XRiaXukJQ2f+Q1szuu3dBKOjV9QUlOmwfZXYHznkxLe6SlSNKCTz6h3bvvdqjq8YsAIud3h7/awecXA1nA46pseWdM1xWtG63ciS05MP/BXJKiG3whrqRjQxtOwpzdV5izu0adOHF2Ic0GXgBeCGuT5z00jMSTOYQfGghpdGIXATWNqMYIx3OE/D5wq+YfXxcQUE0RVw4DXgbOUUff8rPPaT1f7D/tx6MnfjzyEKas7segXcft1fy8P0wGMilpy/Arrkhcu3EjD919d4zGL17tWDbuPgj3Q7uumyLk/jmk5fNrmqQsaY2m/o2sObi0NWRxpRGWDs4EegEfY07tdXWqUTrY25ZWPwmT4MxLq08kVElp9YC4RUQOAu5R1QNL3Zj4jpDXYq0TAQHVGnHlGEyb+lR19H1f+wh14LQ7gTM7XT7nhQmu+9aTv1+4v2OiOJCWNv+qtLQOXZ5/PuEMyD2giscvgkwGLoY/dy7UD52pJHzf5JyFR3K9PEf2mv48wlJCRRzBlV0oWDA1HYs6B6lTTQumQroRU/16E0+GECk8+whP/iNSePZjYQnPgBpJXcyX+SKeHXKQsg6o9ogrJwKPAv3V0c+j2PVO4DtV8nSsH8HkJp8BIDu7b5MHHphy/5o1HQY98siWCaqZ3Yo+ToUjIilhO66BZm0KvXwxcD8AezGcDZxKGvcDF8K2Vq+TMCe1N7ae/hgwQJ0a1lJks65nADPw5DKgJ3bdbwAb8STPOc8KnHONpcakrMcCs1X10VjbEhBQFsSVQdjwhOPU0W987yf0xhze3qqsAHBdNxGTkL3RcZyJkW1FsErrv4HLtQq+0CJyL9Ae6Jf/fK7rHg+MATo4jmNKV8/J1Pkv0n1IY179sDWdgd2xCU0Tgenq7ICiG16R4iWTsPfk87DcZ0ANQETOBQ5V1XN8bR/HDnkU8Leq3htrWwICokVcGYxFtEero3N97ydkAN8BF6rybv7XXNc9CHgF2MtxnP8i+0gGNkxhgqreKkJWhepbi7QhPX0K69a1vykx8b+7N21aswl6qkbWdl3XzQB+AM7IIutDbMpOZkYC54mya7/ZbPpyV86c25gp6gSylNvwtpf3BF7FnPNH4Sg7oJoiIpcB7VT1Ml/bx7FDzsLsc2JtS0BANIgrVwGXA73V0YVR7SuMx6aPXVrU667rjgKaZZE1Xx3NiuwnTYEZkPY2ZA9TTag4nev69efkXn99Bzc7O+GFxx/n3Q0bFrRes6Z9/k3Od8//Np30+fdz/y+YY0kDJjVOZMqfrXkx6SZe5VcaAKdU0Rza6okn7Ymk9FuSL5sQHjEZUI0QkRuAeqp6vZ/tfYtex4C1BGvIAdUIcUXElRHARcChZXDGp2CpzGtL2GzEetYf0YlOBR5UVfVvWPAGdBkGRyGyWK0SuvwsWbu2/bHTpye8PX06H3/5Ja3Xr2+b//V+br+setTr8giP9MDSr2cDLdXRK5aO0OlJwkvczN9AR2BQRdhUYwnpfEJ6ByHtDvQgvEwBLMWT5/HkRDwpcqxlQFwS1RpyPDvkoKgroNoQHmpwO6bi1Cta0QoRmgEPAmeqklPcdllkXTeOcY2P53haui1VXMnKe011j2th6nnQB2j9H8iycAFWmRCRZBEZ3DU3l0MSEvTTadNoMmFC/olO7O3u/UQHOjiTmMQmNrUGctTRLwoNcXiaFM4ghbOA+xDZraw27VCEdDEhvY+QHoT1mH8OXAb8gycT8OQ0PAnukfFNjXHIq4H6sTYiIKA0xJUErJjpKOAwdTSqGavh8YRPAY+q8mVJ26qjWX/x15UTmch5nLcsi6x3Cm6R9gZcuxFaHokNSFgiIreMFDmQ+vXnkJS0hfr15yBSuDo6z5YsEWkWXjJaDIROh/4jPv88N7lRo62MHDmP7Oy+AK7rds8ks28aaSf8zu+oo5I/jZ6PWUAOT1MPq8B+BpF4vvfEHyH9i5A+TEiPwArj3sUyEX/iyet4cjaeZMTWyIAiSAey/W4cz1+KpZgUX0BA3BKeNPQE0BU4Uh1dXobDDAUaAbf53H7pIhbNxW7Ir7uu2zvvBVWWAbNgcVNV7Q0cCWTcAx93q1u304Vnnpn46JFHdnwnNXWGiPQQke4i0ktEBovsPRW6OyBzsLmnfVT1sIdhHWvXfsuWLUmsXr0nqotc1z0UeAsY7DjOm4BbrLXW0vMMcA5wN1AHi/QCykJIlxHSJwjpsUALTHBmALAET97Fk8F40ji2RgaE2QXzZb6I56Ku9sAUVW0Xa1sCAooiPHFoHOZMy9RHK8IeWCryYFV86baLK4cDWerooa7r9sJuyM8AWY7jbBBhONBckcsxhzx4fULCwO9mzGDWnDnM+uILfh43jk8scgVYDwfWg9O7wL7APkCdecCVwDRF7gGyUXVd160FjACGAKc7jjPD14V6sgswD2jOIHYJX3MvVH/ytX9A6XhSFzgWKwg7BvgWa6eaRCiYmhcLROQHYJCqfu9r+zh2yOnAX6oaqHUFxB3iSm3MEQpwcln6aUVIAj4BPFXGRHHuTthwhQ4Arus2wYRDOnaqO+eGtpv+uu/EUeNb/zqi86aEe9Yu5C8eJD39cm68sR2XXprAQw/lMnLkPFav3k77WgTF0mynA0OSEjc3dvrc0fS848aypW69Jc8tGbh5qyYtAIY4jhOdrrQnUzAJyWcQGYKJhfREgzaoCseT2sDRmHPuCywgIuFZ5UNIdlREZDnQQVWX+do+jh2yYJXWu6iq70XxgIDKRlxJw3pFVwJnlLWvVoQRwGHA0ar4FoMI6z7/oo5uWzOcs+eeCT/t2cldvFfrGzu2rCcjRg/mmZvezO2y5ap5nLJ6z/y9xCVNhyrcw/xZVu/fnv/Z2e3vnLV07vQdrXKX/Hff65c2mTNnz+jFKzzJBC4jpIdh3+83gFmo3hz1sQL840kKcDiR2dF/EnHOQYaikhCRWlhBV21Vf2IvceuQAUTkZ+B4VV0Qa1sCAgDElfqYI/kFuEAd3Vqm4wj7YrKR3VTxn070JCU7l1YNFjJ3VRuGpa+nEys5hCR2pxFJ6xLrJXzR9BU+/PgHEhMakdl0VO4rfw+svU05yyeu6yYBfVvXWTTp34TO7LlnNxYv3IcnRi1h9uJui4HHgadU8V/AZo7hT2B/QroI653+BhiA6sxo7AsoI54kAodgzvkkrHg2T8Lzu0DCs+IQkVbAR6rawvc+ce6QPwJuVtUPYm1LQEA4Mn0H+AK4vFBrj//jCHWA2cCtqnjbbWCzdtsW8dMGaIbyZ+OFNP8ym79a/UxjNvE56TxFb6bQIP1z9ryxw9QllyQ88uBsTjh0fM6fG5puwtaLvw7/dzawbDKTc3/gh+tGMOJurIirG7aInPfz04kN3tyv0+EnJid1ugIWPJTLnJHz5JTVZ2FryCcD72Fa1NN9RfmejAFWEgoL/ohkYrrd+6A1TMs63vEkAdiPiEqYEnHOXwUSnuVDRHoC96vq/r73iXOH/CIwWVVfKHXjgIBKJDyZaBpWWTxcnbJ/cUT0/rq117ZeMbbhvcmJW9qwveNNBRYBCwv8fM5KxnIkmzi/0yXseu2n3H/Ot9yJ5puM5EkbktOnbNywqX3jIUvltpNvPGBFm51+o6Cj7Qo0VDRV0QRgXQIJK7FodZvjdqZkCWfzJ43r/U5uzq4kpc1nc3bfvDVIkchaM9AAi5qfLjFq9qQbVmjUZtsNX+Q5YC2qF5f1PQ0oJybhuQ8R51yXiITnJ4TKlgnakRF72DxDVU/0vU+cO+TRwB+qOirWtgTsuIQnFE3HKqpH+nLGlp5tSSFnO2X2CXsPferRlt/d0WX5TvWW/0JBp5vnhP/Zljq0ft3DMad3FObMxoqDizCmpNnKIrwMvKPKU0VcUxaQX+1rGnBsgRT89fIKiRzIbdqstMsVoTswGIuaZwBjKSpqthv/t8CVhMKjKEXqA98DQ1At1FcdEBM86UTEOTcFXsOc8/uEgiI8P4jIpUAnjeJBM94d8rVAY1W9Jta2BOyYiCttMWc8Rh0dXeDF4lPLbbGb2J/kc7Q//r7n3/uOmHV30wZ/X7J4WatJJZ9YGmN9uxcCOVhaeHxeNCyuPAt8oI4+XfwhOBPIVGVACdenWCr8SUx/+lx1dC6etGY98xjNTfyod5doa8FzpgMh7AGiPkVFzZ5cBXQlpGfl2/EIbGZ0F7RMvdwBlYUnuxPR194dsGp5mEZoB5zW5RMRuR1Yr6q3+t4nzh3yGcCxqhro3wZUOcmudFKYflgdnp/enDn4TS3bz5LCkYQI44A1qhT9xByJhgdjLSuvYo74y8IDGcSVu4EV6uidxdkvQiPgV6CxKkXeOMWVLHU0K6w2Nhi4FbhvYxsOSHmNo5lEG1Sja29im/pYXtQ8EIuaHwNm6HjZCWvDaUFIs/PtNBpoBpwWDKCIUzzZDVOAywS6YIWJE4G3CQU1APkRkaeBT1T1Sd/7xPPnXkQOBUaq6sGxtiWghlJMannmevYc8Ddt7mjEmnPrM5ftHe4i8qeWS0GEgZjWdVdV1hV6MX80vB5zXM8XWBsufDxXrgGaqaPDSjnvx8AdqhSb2i503Ja7JDKpSQJ7PTaWBfsv1s5+9ivFhvxRczrw+KL7Wx/aeufFEwjpU/k2rIOtYd+G6vbFbgHxhSdNsDaqTGB/7KFrIvAGoeI/uzsKIjIDuEtVp/reJ84dclPgO1UNZOACyo7/1PJCYNFdK0gYsZz/a5zIFX+O0OfLe3oRmmLrpv1VmRn+ZQLWgzyESDQ8FvjCT3QorpwJHKNOydkjEa4FWqtykS9jPamVq/xw+wzW3dGUdjkp3AncWREzjPNFzUOSEzeddnin99dP/aFPCJixba1ZpBtWyd4NDdSlqg2eNAT6Yc75UEzwZiIwmVBkbvaOhIj8ARysqot97xPnDlmwPrmWqroy1vYExClWKNSUgu1BZUotiyuHYQpcZ6ujb5fXtLATehP4WpWbw9Hw2VgqNy8aHo/qqqiO68rRwLXqaO8StxM6AlOBFqr4KUa7HqUnZ7Dno/ty8UV9uQJ7b89VR7+NxsaSOLzT+w0HdH9tyfAX7/x9w+Y6tYisNS9F5EYsdX80PgUVAuIIewA+HnPOR2FV+xOBVwlFv/xRHRGRusAyoK6q/wr1uHbIACLyNXCxqpY4BSeghlNMapmIA15L0Q53IbDUT2pZXDkWeBY4RZ2K6X0XYSjoBf+x0/WNWHE+pjGctzbsKxouxtYuwPPq6F6lnF+w9dpTVPmmxIN60gKYzcuEmMwTQMvwcMezsaEQ/8OqzDeVxeYizjc6N1fWJp6Z+zqWKcgEpqey7vFs0t1Ecl9A1bekaEAc4kkq9pnPBI7D5jtPxPS1l8TStMpERPYBxqmW/P3cbr9q4JA94C3V8qcOA+KcKFPLBf6dvzioDIgrJ2EOp786FaMaNVBe2e8tjnv/c3ou68L3a4isDUcVDRdFuC/6e3VKX84R4T5glSq3lLihJy8DcxnEeqAFqpfkO18zzP6WWLQ8q5ij+MeTLljFbmtCulWE+oTXmpPZlHEztzRqxl/HnKdPfVLucwXEHk9qAb2xiu3+WMFhnoTnz7E0raIRkVOAU1U1M6r9qoFDzgISVfWmWNsSUE62Ty0XTi9HVbVcUYgrZwD3AMepoyVHkaUeTAQ4bCMpQw/h48xD+HjWKK65EphZkZXD4koSlvKuXZp8pwiHA3er0qPYjTzpjaWNOzGIaVhhVYGeYHFFgEHAKKxNylVHN5brQjyZDVxLSKfns1eAHt35avR82u+/jrRXc0l8DHgvGs3vgDjGkyRsrTkTq9peRkQlbE51l/AUkZuAVFW9Pqr9qoFDDgH9VfXUWNsS4IMqSC1XJOLKYOAmoI86OrfsB5KdiawNbxzAq4vf4rh6m0k5orKciLiyDOisjpY4b1WEZGwma2dV/tpuA/ubfQcMZxCfYn+LJmjRPabh6Px/QDssWi77cpInlwP7EdIzijBclrHTu1lkbX6ES5pjfdJ5a83/lvmcAfGF6Wv3JKKvvQETwJkIzKqOzllExgHvqRavE1DkftXAIe8LPKGqXWNtS0CY6FLL+dPL5U4tVyTiylXA5UBvdXRh9AewaBhzwsdiakaPJbNp4xaS3wH2VeX3irO40Old+REIqVP6rFURXsAizMe3e9GTa4AjgOMZxJnYsIeTSjm3AKcC92OCHo46uj7qi/BkJ2xQR8siW2Ws0+LbzST1TWGzYO/1SZiy2GPA+0HUXIOwLFp3IiphyUSc8+fVRV9bRL4ArlLVz6Larxo45HTgL6CexruxNYU4TS1XFGFnMgI4EzhSHY3OaYrshPUNDwY2EVkbXilCbayX9g5VKrXuQVyZgbUkTSt1WyEEnKZKvwIveNIMk63sSUh/RmQC8BY+n+zFlcbAQ8DewHnqRHcDCtswEXiHkG7/sGDGnwzcBnRFNSe81jwIKwRLxaLmZ4KouYZh96G9iDjnhkT0tT8ipFtiaF2xhLuDVgB7qEbX8hX3DhlARP4Guqvqn7G2pcZQzVLLFUXYGd+BtWUcpY76Gx9oX7JDMSeQFw2PBT7PvzYcLqDaDatqrtT3SNxwwaNTesGjCBnAEqCJKpFI1hMP+JWQ3ohICvAv0A7VqJybuDIQeBB4ARihjub43tmTvsBwQnpQCRfwPLAK1UvzXZNg04qGYOuQU7G/SRA110Q8aU9EwrMlMBlzzjMIVVDlfwUgtnw1H2gUbRBZXRzyh8Atqjoj1rZUK6JPLUfSyyFdEwuTK5OwPOQD2HpVH3V8aCZbNJy3NryZfNHw9ptyOPA8sLcqla7HLK6MBn5XR+/ztb3wAXCvKm8A4MmhWLq5EyFdh8hRwC2o9iyjPTsBY4AeWLT8sa8dPUkGfgcOJaTzizG+ARbJX0ARykfhqPkMzDnXIYiaazaetCLinDtivf6TsExL9EsnFYiIHAzcq6oHRL1vNXHIY4AlwdSnQtTw1HJFIq4kAk9g4vgnqFOCtF8kGh6M9U5Oxhzx58VVSocdwvfAUFXKLSjiB3HleqCBOnqdr+2Fq4F2qgwJO8HZgEtIXwlvMAb4B9Xby2nXAOBhLHq5Xh0fGsee3AtsIqQ3lHABRwLPYAMoVhS9SZFR82PAB0HUXEOxZZc8fe19sb/5RODNWAQWInIZ0FlVh0S9bzVxyGcDfVQ1FGtbqhxLLbdie/WpGp1arkjElWQscm0IDCjWQRSMhrdgN/JxRUXD2+/Kc8A63xKVFYC4ch7QSx09x9f2QjvgfaC5jpcrsLT90YRUww8hi4B+qP5QAbY1xAq+DgLOL1VoxZO9sEGCPPYJAAAgAElEQVQFLUucvStyP7ALqqeVaoPQgMhacx0snf1sEDXXYDzZGetxzsQ+ex9gzvl1QlWj9igizwCfqerYqPetJg65MzBJVdvF2pZKIUgtVxriSm1MChNMgatgK485ol7YTTsvGh4LfOa3b1iETOBOYJ/tBkdUIuLK8cCl6uixvvcR5h+119TLpg7v4wGHENKfwi90Bt4AWldwv/QJwKPA68B16pTwefXka+BGQvpuCReQN4DiVlRf8GWDRc37Y3/jAcC7RNaa4/8GGFA2PGkA9MWc8xHA55hzfo1QdDUS0SAiPwDnqEYvnpNUCfZUBvOAZiJSX0uYgBO3+Est528P+hb74OxwqeWKRFxJw4qvlgNnFhiQYNHwWVg0vBWLhi8tLhVa7DlscMQj2OCIqh4/txRoEuU+U3Zr+PvdwFPbnLHRF5hS0WMP1dE3xJXOwH3A9+LKhepEREAK8TRWvV68Q1Zdj8iZwNuIfOxnAEXY6c4EZopwFbbW/ABQS2TbWvOyaK4roBoQ0lXAOGAcntTFHrhPAu7Gk7x77KuEKm6IiYikYvf0H8u0f3WIkAFE5DPgBtWK0RiucILUclwhrtTHCj0WABeqo1vzRcODsXTt65gj9h0NFziHRV5vAN+oMqLCjPd7fld2A2aqo7v63efiox655NP5B43+7s59GhXIrtj3K6uogqmKQlw5BotM3wGuUadQT7onjbCH0pbhm2kJB5ObgEOAY8oygCL8tzsA+yycGLYpb605+C7WZDypgw29yMQeRBcQkfBcVJ5Di8iBwBhV7V6m/auRQ34QWBzTwq4gtVwtEFcaYVHW58AVmkUGkbXhXCJrw1FFw9udRxgMDAUOUKXK2y7ElVrAGqCWOj6+yJ4kbt6SNKvu+WvbbtpSq4Mq1kZoE6gWYOpc5ZPCLN3m+phM6THAYHUKynPiyQSsjeXRkg8kSdiIv+dRfahcNtlac16Fdi0ia81B1FzTsUDqcMw5D8Du4XnO+aeSdi2K8hR0/T975x1nVXmt4ecVxAJijbF3Y0Fjr9h7w9zEflDU2Cv2WKKbHUVj770AIsdETWLD3muMBbvYu4nGElGxUNb9Y+1xhmGGmTln1zP7+efeX5jZ3xJmztrv+tZaLxQrIe8BbJZoY1fbpeWW5eWm0nJrc4OytJwTorWO92KM/ulk7ph+MvvRrIavAB6PoywrsTjwFLCeGbWv3Kw3jlD/AxazoBMvF1UdBOyggZM/Bj1ixuX+EO0BbIPZ9knG2hKF2hQfTXoAOMKCSBFXtRVwEpVOjIxIvwKeAPpj7YxLdSWmZtXcdNd8J/4zU6rm7oCv8FyX5hWeX9O8X/uFTjnG1dHQBcVKyPE0djWXltvyzS1LywVGoRbsMZkHt32dN276K4tOB0ZManiKc0QP4BHgJjPOjeu5NcUS6nW8c3zab/PeffoqsKEG2nLAbmZs7Q/R34FbMBuRcLhToFCzAKfjxvb7W2C3R6YDHwIbdUqhSAfi9879sfheiKNFKk2quReemIeb0aXNSyUFparp8EbApi1hk2lOzk+3t8KznoYuKFZC7gn8D5i/w8au2krLTbuWy9Jy0ZB05crs9MeNuOqoJ+hx9BPchCfiWNTw1MdxHH4HtUnWs60K9QhwUifGiq4CvqFih0cl2g+AeQ1NwpvDlsAskxKtQm2Iu0c9BhxmS3IsYFQ6MV/tfQF34jPiYeyxuWpeC7/uaFLNlwMPl6q5m+CV0xVpTs59aF7h+VjTmF7U0PU5MLvVePVTmIRMVYut/MfpXj57IDNsuHyfsUwctxe+eLyj0nLr8nJZWm4UpDmBQWPm4eCtBrLQgDf4+xW3cUCcanjqI1kJXzywihkfJHVOp+MJdSNwkwX213a/qKo18A+QZZoMHCQeAM439CNwIjaNtZUpoFB9gFOB7TaeidPuW4DjgYU6ta9Ymg8YAwzA6nCe6vCYKVTz9DTfNZequTtR1bI0J+d58UmOxx8YO/OQY64bv+gzp/d9lQnjBtTSIFaUsSeYvu9t6/VffsZ/zripNuw3w7K8cspjTPzuaZoT7V2UpeXGxxXROviH4jb3LMZjAyrMOqEHe15xa8c7nes7mhnxBSNH5CEZR3wKzN3un/q92MXAH1q5Kd2Gd5j+GP3/mWKBfQscqlA33v891wz4hF7Hzs52/aH9F42fv9k+wZtprkVaGevCHu2uxGh8BVwocRGumvcD3pK4A0/OpWruDlTsVfz652SqWgL4HT37XPb8D+vNtPpm80O/JZbmlaG3Af26+ujiKOTre068ZYZqj0suv5q7R/8Dbuw7iV0mFueFoqQ+pDlonhsWcPlq+/DaM/NzLXCABfb35EPgbHyp/Q55+eBVqJOAXhZY22NXVe2L/72t2/IlVWIJsEcn0nNCDyZvidkr6UTcMQo18/ozceuLP9L/q8nsZkG02rPDb9Qo4EvMDkk2wpZHMjvuGrYfLnBK1dwdub7nxG2rm/fYdbfd2fF329Scn6ZLIrZE6Nn79XXmeXXyk08+yU+vnD+Znr3r7qosyTmSkNbFzb7fwX1S9wOW1RCef2Z+RgJ7pJSMNwB2xndV5yIZR7S/HMTnek8GDmpdMTLjrRn5YfwTrD0dZNcl3hYW2PiHFmCHW+ZjUg84VaFuiGweO+Jg4DeRSUYqmPGVGRcAywG/x20o35KoSqwf3UGXNDgTNfPrjz78AOv3Xw3euKjm/FSchDxh3IA5Pz537OJzfMOjfzvlfSaMG5B1SCUJIc2BdBjwCq44ngMWx2xXzB7VELbA12HuaIElbuQQGUcMB/bNofKZ1rauU4AbqNgLbf3hxtz/8aUc8HESjW91U7Gv1p2J2/+9GBcD7+JbvnaK7DPbxneO/x64Bmn2lCKNjsbMeNyM3fFeln/iG9xekzhCYq404ylJl90u+Oa4uXr/9OMvH1lyEq8MHVtrfipOyTpC0jnA51anI01JzvC74f64Ah6Ab8C6Anh0Cr/hUNvRtKoysH+mExrDgR/NqGnYP0kUai3gPAtsjSn+oKpV8E1ly7S3VP8ubfHKTvx1hq9t1iWSj7QGqtoCOJmKraZQawDX4D6zB07Tx9pdq+YiYzOaSB2vjf9Mb4v/e1wBPJKzKktJnUg6EljMzA6q5znFUcjNPARskHEMJXHhangwvvv1KqZUw4+0Ssa7ARfhXsZpJePf4k1kR6ZxXg1MrZB9hvJi4Ph2HW6keTbhvvnG0XdWiYUSj7I27gXmo6rlLLCngJWB14AXFGrgNNTyscDKSDulFWhbtFDNg3DV/C/gUppV85xZxlcSKxvguakuipiQHwXWktQr60BKasTvhtdBuha/G14dOABYBrNzMftiqm8JtR8+FrORBfZ8OmEyD/4BOsiMb9M4swY+BeZulZx2j/7v8Gl839Y9mXQP6E5gm6SCqwuf77yW6L/HAvvRAjsBNwk4FrhFoeab6vu8y3o34AKkTu/5ThIzvjTjfLzzdm98rvVtiVES65V3zcUl2pGxLvBwvc8qXEI2vyd6E1gt61hKuog0eys1/Dy+kGJgazU8xbeFOhz/AN6gw41UsYWK8NWOV5vxRBpn1kLk7Wz4sgKoanbgNODg9rYJRbi7U/P4U14ZDuxKVdM3/Q8W2LO4Ef0Y4HmF2mMqtWz2NF4luCa6DskFkWp+rJVqvgx4VeLwUjUXkhWBj8zqt3QsXEKOeJCybF0MXA33j9Twu7gaPhBXw+dg1m6TlEJJoU7EDRzWs8DeTidowFXM/EDs258SoGXZ+k+43+sz7X61NCO+UP9O3ISjvxQl9LxRsdfxn5vNW/7PFthPFlgAbAYcBoyO3K9aciowG/7zljtaqeZ98JL82xLXlaq5UGxADOVqKG5Cfgj/QCnJK66GDwVewptxWqrhhzvq7I0Uz5+BHfFk/GHiMTed7cYRp+H7nlN3caoBT8hVrYD/fZ3QwddvBLyA2RdmjMNNMlIbFaqB4fi+6qmIri9Ww7uan1OovX9Wy2YT8dL1EKSlUom0Blqo5t1w1fwMvp6zVM3FYENcJNZNURPyo8AakmbKOpCSFjSr4RG4qlkTOAhYuiM1PMVjQk0HXIgnjg0ssE8Ti7n12W4cMQI41YzcLMvogE+nc4V8Ee6UNNUdfCuaytVN5L1s/VdgE6pqc3TIAptggf0J/3k5ALhboRb2P7Q3gCH4Fq/cLxKKVPN5wLL4EpyWqnndUjXni6iXqT9uNlM3hUzIZvY/4Fn8F7Aka6ZWwy/iarjSGTU8xaNC9cCNBlYANrGgw+QSN0cDE4DzUj63Hj7dsQ8DgJnwu/n28fvUbZg6IW8t5fTzwFd+jgZ2mdaXWWAv4S+BDwHPKNT+0cvdJbgxzfEJRxobkWp+NFLNi+Oq+QrgFYnDJObINsKSiPWA1ywmY5Z8/gJ2jlvx2b6SLHA1vHYrNXwwrobP7qwanuKRoXoBVfzudgsLOnD1ihmJFfHxpj2ydnHqCn3E/xadnu3wjVyTOvjyFYEf8HleAMx4F/gvfr+fV4bTTtm6JZFaPhW/19sTuE9DWARfGHIQ0qrJhZgMZnzRQjXvh2+se0diZKmaM2dbPBfFQpET8m3AAElF/m8oHq6GD8FV8HBcFS8ZqeGHat36pFAz4nZmMwLbRt3DqREZR4wEjjLj/TTPrpff92W1l3/iYyr2VCe+3MvVU/875b1s/QAwN1X9ujNfbIG9gpcS7wSe1hB++9N0HAaMpKBXXS1U8664an6OUjVnhrzatC0xmrMUNpmZ2ZvA1/j4Q0mSNKvh4bgaXhs4FFgKs7Pq9dFVqN74Zq7vgO0tsB/qDbkGTsbH6a7N4OzaqWq5NWZilfvG81Ynv6P1/XET+U7IrvxH0AmV3IQFNtECOxNf7FKZ4ST2f2Ze3sKbBQtNpJrPxVXz/kypmtcpVXMqLA9Mhvh6TQqbkCPKsnWSSLO1UsMv42p4F8wejGMHskLNio/efAAMtCB9r2qJ9YGBwH6FWmnoxukXfj6Ja743Ot7d7L7BiwOPtfGnTwHzSCwcb5CxMgIY2HImuTNYYGPxxQ03r74va/+5P4O+66XNEokwZSLV/Egr1XwV8LLE4FI1J8q2wK0W4/7pMiGXTImr4bUiNfweXvaLTQ1PcVSoOYH78Q+RvS3o8P4zdiT64h/0+5gR239bSuwEzH7yF1xJ+wYTLdkauBub+qXHjEnAHeRbJb+JVzG26uq3WmCTLLBzTax59tp8uOEe3LbpIDXUcqEWqnkZvNt8dVw1X1uq5kSI9f4Yip+Q/wnMKynPb/XFwNXwwcALeNn2FVwN7xyXGp7iuFDz4N2w9wKDLZjmVqkkOR+4x4zRGZ1fG1XNApwFHPT5ZD4BOmNP2F65uol8l62dYXShbN0aC+zNz3uz4tof8s+nFuBRhTo66uxvGFqo5oHAEvgOgJaqOVUnrEZE0rz43+2jsT63aG5PrZE0DHjWzC7KOpbC4U0Ja+Lzjr8F7sIXEtTcnNWpY0MtBNwHjLDAhiZ1TodxiP8DzgZWyPGu6rap6nRgXio2KFqE8QMwa7v379LMwH+AhSObwja+hFmAT4D5o4Uh+aOqvvj1xpJU6qjWSDOPnZOXNt6d7z/py7fA7y2wXPlCx0mkjtfDf9e3xpXd5cAThbqmyQmS9gE2tJgdxYqukKEsW3edqdXwq8CvklLDUxwdagl8iP6SjJPxL/Edwnk2jmibqpbGx3iOAbDADPiMaZetNwaeay8ZA5jxDfAEvo4yn1RsHK7kB9b1HLPxS3/Bzh+cyy8W+YqbgUcU6jiF+V8eUguRan64lWq+BnhJ4tBSNXeZ2MvV0BgJ+V5gTaVsSF44/G54Tbyi8C7eeXoYfjd8JjEsRu8whFDL4mXqoRZYZos3WhhHDDPj8aziqImokQsYSmUKT+CpbRinpKNydRMNX7b+GbOnexiXvns+G/SayKr4oqEnFWq5up+dY8z43IxzgKXxTXprAu9KjJDoX941TxtJfYD18YpirBQ+IZvZt8A9wHZZx5JLXA0fhKvh63A/2aUiNfwAls7drUKtjDdw/cECuzKNM6fB74GFgCDjOGrhd8C8uJNRS9pPyD6r33o7V3vcBmwVrRDNKw8Bs1PVijE8aygw54+nsCVeGbgCeFChTlTYtW7uotFCNVdw1fwipWruDL8FHo42RsZK4RNyxCjqLWE1Es1q+BpcDa8HHI6Xpc9IQw1PEU6otfAFDQdaYKPSPHuqWMRi+BzqrgUxjmimqt7AOfhGrtad0p/SfmPXysC4aK/zNImWonyCq6Z84raSI/BNXPXhHee7AX+yISwRvSyugk8XPKVQK9R9RgGIVPPZuGo+mClV89qlap6CgXjOiZ1GSch3AL+WtFDWgWSKNGukhp/H1fBYXA3vhNn9aanhKUIKtSFwC7C7BfaPtM+fIpZm44jTzXg5y1hq5DjgcSrWlhH6tO6QO1uubqIIZesRQIWqetX9JLOxuG3lSKSeFtgHwJb41cB9CjUkWuva8ESq+aFINS+Jb+IbDrwocUh3V82S5gHWIIH7Y2iQhGxmPwI30cHy+YbE1fAakRp+H7/bOIKM1PAUoYXaCnfq2cECi/2+pQaOBCYB52YdSJepakl8I9PR7XzFtO6QGy8hV+xtvBlx65ieeDEwDjgWvFHOAhuG7/5eFXg6unbpNpjxXzPOApbCdxGsjavm4d1YNe8M3GJm45N4eEMk5IhRwK5ZB5EaroYPxNXwKNwsYCnMdsxKDU8RXqjt8OabARa0qejSjUesgCez3aMlGMXBG7nOB06nYh+381VtJ2RpAWBhvHu6szwNzBmV9/PMcOIoWwPR78uewKFIP6/jtcA+xl9OzgTuUqhTFGqGWM4sCJFqftCMXXDV/DJTqubZMg0wXXYloXI1NFZCfgzoK3Vu+XwhaVbDV+NbtDagWQ2fjqXnGzwtFGo3vNy3mQWdMjxINh4xA24ccXTRjCMiBgCL4km5PdpTyNsAd2I2sbOHRU5Xo8m7SoYbgfWoqjNbyjrG7GNgMHBdSwOKSC1fh1uC9gOeVdhYW746SxuquT/wXqSa12pk1SxpaWA+3OgkERomIZu/4TamSm5Ww2Nwe8I3cJvDXKjhlijU/sCpwMYW2AtZxxNxMvA2fu9YLKqaCfdmPoSKTasJrb2E3NVydRNFKFt/C9xMnA2dZtfjEwmnTfVHgf0b73I/BbhdoU6PXMq6HS1U8864an4F32nwgsTBDaqaBwLXmyW34rdhEnLEKKAiNcAqPFfDq7dQwxsCR+HrLHOjhluiUEfgyyrWt8BeyzoeAIn18C7afQu6kegPwLNU7L4Ovu4zWndZS71xU4Va7u/vBVaXmLWG702T4cCeUVk/Lg4EtkfauPUfRGr5L8CvgcWA56Mpgm5LpJrPBH6FVxjWwVXzsEZRzZHVYmLd1U00VEI2s1dwo/X1so6lZlwNH4Cr4evxZfpLY7YDZvflSQ03oVBSqJNw8/T1LbB3so4JpjCO2LeAxhFQ1WLAIXgzWkd8AczaanZ2E+BpzL7u6tFmfIdfA23e1e9NmUeA3vhoVzyYfQnsBQxDalPpWWCfWmA7ACcCf1eosxVq5thiKCCtVPOv8Ka7RlHNa+HracckeUhDJeSI64Ddsw6iSzSr4atwNbwR3oC0JGZ/zqMabiLao3w6sD2wngX2YcYhteRc4H6z+AzEU+Zc4Gwq9kFHXxg5ZX0B/KLF/1xrubqJIpStm2aS94j1uWZ34//9F07zywK7EVfL8+Fqed1Y4ygoZnwWqeal8I2A69KsmtcsoGoeBIyK02qxLQpvLtEaSXPjHceL2TT29uYCqS9eBtkX6IuvcxyOTbESMbco1HT4B9ZqwBYW2JcZh/QzEr/BE9oK0Y7mYlHVVvjd8fJU7MfOfItCvQDsYYGNibZzfQysg9nbtYQgsSCuCOYxo9NNYalT1aJ4Z/j8nf276hRe8h8DHI/ZTR1+eajf4uNTNwLHW2DfxRZLAyAxN/7itC8wHje3GGVG7Buv4kT+Of0esJyZfZLkWQ2nkM3nbkcT9xtzXLgaXi1Sw+/jS/+PoVkNFyUZ98TX7P0a2CRnyXhumo0jipiMZwQuAA7tYoJp2di1KvBVrckYwIwPgQ/xcl1+qdi7+NrHeNW82Xd4/8FFuN3etL/cF98sD8wBvKhQG8QaT8GJVPMZeDn7cPxq8V2Ja3KumncD7k86GUMDJuSIS4AD5CohH0h9kfYHnsOXZbwNLIPZ9pjdm8e74faIthZV8TLdFhZYbqz6WhhHjDDjsazjqZEjgZepdHmZSsv1mfWWq5vIf9naGU4SL+FmT+FK7urIrnTaXx7YFxbYbniZ9jqFulih+sQeV4ExY7IZ95uxE17SHotfNT4vcVCeGgmjZq4D8ZySOPlJWPHyJF4SmapLMlWa1fCVuBreBFfDS2B2WlHUcEuiMY+/ATMA2+awLLcnsAjFNI6AqhbGZ8sPr+G7W67P7G4J+W9Af6odK9kaOAW/m9+vs99ggd2Gq+WZgZcUTt2xXTKVaj4C3zT4fqSa18iBal4Pz5MPpXFYQybk6OL9EvzNJn2a1fCzuBp+h4Kq4ZZEb/qjgW+B7S2wHzIOaQokFsUbzHY1I767xHQ5G7ggKsN2FS9Z+073+fEX03p5FphNYokYnpUcFfsO+DtJ7CFoNqA4GWnJTn9bYF9ZYHvin0PDFepyheobe3wNQAvVvCOuml/Hq3DPSxyYoWo+ELgk6WauJhoyIUdUgfUkLZjKaa6GV22hhjfF9+IWVg23RKFmBe7Gmxt2tWAqt6FMaWEccYYZL2UdT01UtSmwEnBGjU9oukNu2s5V9wKDaGvX7RRDJQ8H9oh5JtlxA4qTgWuRenbpWwO7E1gO/7x9SaHyPkqWKWZ8asbp+MKRI/GNhO9JXJ2mapb3DWyGj26lQsMm5MgneRTe0Zcc0ixI++FK4kbc7nBZzLbD7J6iquGWKNRc+Lq4Z4F9ohGbvHFE9H/PyTSKWnHXoguBw6jY9zU+pSkhx1WubqIoZevH8KuUpNZaXgR8hy9r6RIW2NcW2D7APsDlCnW1wrZnnEucSDXfF6nmpfENhVVgTEqqeW/gBqthjr9WGjYhR1wK7C0lYJ3mavgK4AP8Leo4YHHMTsXs37GflxEKNQ9+f3I3MNiC/L1gSPwav5svnnFEM4fhjX631/GMT6ebzLz4pqS7Y4nKuQ9YNffWexUzkmrugpYGFINRbc5PFtg9+N3yT7hajsutqqFppZqPwjcXNqnm1eNWzfIqyH54DkmNhk7IZvYa8Brw21ge2KSGpSY1/B7NavjuRlDDLVGohfBNSFUL7HgL8je03sI44g9m1HLvmj1VLYC/UAyOkkqtfNZrEgsA/8Ti63w3Yzz+c7BFXM9MkGuBnaLRsfgx+xBvuBuJajvDAvvGAjsAX2B0oUJdq1BzxBlmo9JCNe+Aq+Y38Y2GYyQOiFE1DwDeN7PnY3pep2johBxxMTBYnRhZaBdplRZqeHPgeBpQDbdEoZbAP4QvscBOzTqeaRDiL0bDMo6jHs4ELqVib9X5nM8m9GDWCdPVpbLboxhla99qNgb4TYKnVHEzhbp+LyywB/A5/q9xtZxkzA1HpJr/jKvmo/ENh+9JXBWDaj6UlEadWtIdEvLNwFz46rbO42p430gN/w1v1FoWs981ohpuiUL1w8vUQy2w8zIOp10k1sFVxj4FNY6AqjbEjd+nchfqKjaEyX1/hKtWTmT++nZgC4npO/zK7BlGkouBvOP2AGBHpI3qelRg31pghwC7AGcrVDXq2SjpJJFqvjdSzcsAb+Gq+blINXeps13Smrjd6Q3xRzttGj4hR1ZZZ+B3vB3javhyXA1vAZyAq+GhjaqGW6JQK+N3hsdYYFdmHU97SMyClyf3M+OzrOOpiaqmxxuFDqdi42N44upzfM9PB24T/8iXGR/j43v94352AvwDWJOq5k/sBLMv8Kafdg0ouvS4wB7B1fKnuFrert5ndkfM+E8L1XwMvovi/Ug1r9ZJ1XwccKZZ+pMkDZ+QI0YCv5a0Upt/2qyGn8HV8AdAv0gN3xXH+EgRUKi1gTuBAyywatbxdMC5wINm3Jp1IHVwMPARnkDiYECPye36IsdBUcrW44Gb8Nnh5DC7C5/LvyCWxwU23gI7HDdqOVWhblCouTv6vpKpaaGat8dV89v4TojnJPZvTzVLWg5YA18LnDrdIiGb2Y/4OMyxU/yBtHILNbwl8Eea1XDie0vzhEJthJf3B1lgN2cdz7SQ2Ba/L6plm1U+8I1Sx+P7quMqtw/4thdv0NoXOT6KkZAdL1snMZM8JUcDa6L4FK0F9jiwIn5N9qJC7RS5qpXUQKSaTwOWwEfWNsFV85VtqOY/AOeb1Tx6WBfdIiEDjIZ7Zoft3ujRYyJ9+36M9CKuTD7E1fBvu5Mabkk0evEXYAcLLM5xmdiR+AW+W3h3M3KzQ7sGzgCupmKvx/I0aRFg7v/0YSzJKeQxwMwSSyX0/Dh5Ev98WzPRU9yAYhBwcWcMKDr92MC+t8COxpvTAuAmhUrq37VbEKnme1qo5ndw1fysq+ZNl4eZtiODZq4muk1C3qpv378cvPHG0505aFAPjj9+XmaZZVZgMcxO6W5quCUKtT1enhlggT2cdTzTInqTvQIYacajWcdTM1Wti28fOiXGpw4A7pg8Hf8hoYQcNc4VY2tX0jPJLTH7J25oclVnDCi69OjAngJWxpdivKhQA0u1XD+tVPOxwKaw2NMweKY0F4G0ptskZL77bqnBw4bpb7fcwsfbby/Gj5+/O6rhlijUIPz+a7PoFz/v7A4sDpyYdSA1U1VPvJHrKCr2bYxPbtrOleQdMhSrbH0tsANVzZTCWX8C5sE3ccWKBfaDBXYcsDWePG5WmIiJRrejSTXDK+/AjTPAYUiYxJAs4uk+Cbl379fnvP76ybtXKpz9+98bvXvHUyosKAq1P50Vy3AAACAASURBVDAU2MgCeyHreDpCYhF8Xne3AhtHgI/LfE6cIxVuoL4mcA/JJ+QHgBUl8r/IomIfAU8T12KgadFsQDEUafFEjgjsGdzn+kXgBYXavVTLcbHcRPjqEvglZsgsm4SslEwsskdajL59b/vw22+XWn7yZM6D1fcwey7rsLJAoY4EDgI2scDeyTqejoiMIx4ARkdWbcWkqrnxhRLrU7FXY3uutD2wN2ZbKNTqwMUWWFL7nJG4BbjBjFFJnREbVe0C7EnFNkvlPGkwsBOwHmYTEzsm1Ep449onwL4W2EdJndXoyMfW3gZWAdsjq2QM3Ukhm73D11/3W3DSpJ5fw1V7ws5Zh5Q2CiWFCvCy2npFSMYRhwPCrQmLzJ+Ba2NNxk5LM4mWnshJUaSy9c3AqlRTcn1zg5Dx+AxsYlhgY4DVgX8CYxRqr1It18xRwG1m9l6WyRi6k0JugaT5gJeAFcy6x5tl9Mt6Or76czML7NOMQ+oUEsvj6nj1wu6qBqhqLXw2dhkq8e2ZRuoB/AdYFbP3FWom4CtgpqR2j0vMC7wKzG1Grmw426Sqy4APqdjQVM5zy9dngc0xG5P4caF+javlz3E3tg+SPrNRkDQP/rO8kpm9n3U83Ucht8C8q/pKfJyg4VGo6fCd3hsAGxYoGTcZRxxb8GTcA2/kOibWZOysCXxC9GFigX2POwklZk1nxr/xpf5dW0ebHcNJZybZcQOKI4DrajWg6NJxgb2I/xw8DDynUPuVarnTnAiMyEMyhm6akCNOB/5P0tJZB5IkCtUTf3teDr8z/jLjkLrCEHxpSyZbc2JkH9xHN4ntZ215Hyfd2AXFKls/BUzEd4anxShceaWiyi2wCZEJzPrAXsB9CrVoGmcXFXnz3c7UaRISJ902IZvZV8BZxDsLmisUqheeBOYBtrAgdnWWGBL98RnS4hpHAFQ1Fz4Sc3CMG7lakmlCjtuHNhGaZ5L3TO1MvwvcH9gZaYPUjg3sFfzF427gaYU6KKqQlUzNyfhWrv9mHUgT3f0f6kJgTUmrZx1I3CjUjMDfgV7AthbEYl6QCi2MIw4woxDl9WkwFPgLFXsx9idLiwFz4qM9LfmU5NZnNvEC/rNVlArTSGA7quqd2onNBhTDkRK7Qpjq2MAmWmBnAOsAuwIPKExmFKuoRL4GG+IrlXNDt07IZjYe99P9c11+yTlDofrgS+/H4eswiza3ezbwiBm53qndIVWtCmwLnJTQCQOA0W1YgSbeaV2orV0AFfsEX6eZ/ExyS8zuBO4Czk/1XMACG4sn5VuBpxRqcKmWf+ZUYKhZrMt56qb8x/H71fmBTbMOJA4Uaja8XPUusJsF6VuI1YPENsBmwOCsY6mL6s+NdMdRsf8ldEpb5WpIp2QNxbpHhrTL1s0cBayDlO7LAGCBTbLAzsHL2NsDjyjUr9KOI0/IrxCWwtfw5opun5DNh/dPwFVyof8+ImPz+4Fn8GUBhVoNGhlHXEHxjSPAP/gn46X3+PES6BrAvW38aVoJ+UHg1xJzpXBWHNwKrEhVC6d6qquw3YBL8TGb1LHA3sAbvm4AnlCoIxWqRxaxZElUCT0dONHMfso6ntYUOgHFyN/wLsyBWQdSK9Fu24dwdXyYBVOVMXNN1Bx0OTDKjFybXHRIVXPgd8cHUUns32EL4NHIbag1qSRkM37AZ8S3SvqsWKjYD7ir2aDUzzZ7EriKBAwoOh1CYJMtsAvwF7kBwGMKtUwWsWTIjsAMwPVZB9IWZUIGzDsiDwFOV4rNF3GhUAsBjwBVC+z4pBZCJMwgYEmKbBzRzMnA36kkupq1vXI1pNPU1UQRy9Z7RFcKafMnYD680SszLLC3cT/xkcCjCnVsNB7Z0Ejqg0/WHGJT913kgjIhR5jZU8AdkO3qtK6iUEviyfiiaA6xcEgsjP+i7BqpruJS1Ur4Xd0fEztD6glsiTdVtUUa6zObGA1sKtErpfPq5RngB7zZKV28RLorcGpSBhSdDsXV8iXAanj/zJMKtVyWMaXAicBDZpZb69YyIU/JccBASctnHUhnUKh+eJn6FAss9S7OOJCYDlctZ5uRe9epaeKq6yLgj1QSXcCyNvB+tBGqLdK6QyYaS3sNv5/MPz6TPIw0fJLbwuxVvMN3RLT2NFMssHeBTfDNhQ8q1B8VavqMw4qdaAHUXiS8Y7xeyoTcgmhAPAAuzvsYlEKtDNwHHG2BXZV1PHVwGDA9bq1YdHbF/1uuTvicaZWrAb4BeihMbea2aGXrUcDvqKpPRuefj683PTqj86fAAjML7ApgFbxy8JRCrZBxWLERfZZfCJxiZv/OOp5pUSbkqbkC6A1Usg6kPRRqbeBO4AALLIl1jKkg0Q84Hu+qLlRH+FRUNSvu5nRwgo1cTUwzIUc9BKmpZIq0tQugYv8GHgO2y+R8v7/cAzgCacVMYmiDyJRiS7zKc59CDYm2/RWd7fBthRdlHUhHlAm5FWY2CTgYOENu/J4rFGoj3FJukAVW2MUZ0Z3jdcBxZryddTwxEAKjqdi/Ej1FWhLoC3TUMJZmQn4Zt8fsl9J5cZBd2RrA7AN8PnlkGgYUnSVSy9cAKwKr4us3V844rJqR1BvfxnWQJehPHRdlQm4D8xGFu8mZG5RCbY2PbWxvgd2ddTx1EgAf4aMgxaaq5fGKynEpnDYAuL2N7VytSa3TOtraVbSy9e3AclS1WIYxjARex7vyc4UF9jH+73k2cJdCnaJQM2QcVi2cADxqZo9kHUhnKBNy+xwLDJLy0XmoUDvgrkfbWFCMH672kFgbb7DYu9DGEUBk6XcRMISKfZ7CiR3dHzeRZqc1FC0hV+xHfBY1/ZnkJpoNKCpIuWuKi9TytcAKwPLAswq1WsZhdRpJSwH7kpO7+s5QJuR2MLPP8BGoS7Pe4KVQg/BGkM0sSLgkmjASfWgc4wiAXYBZ8KUmySLNjjfe3N+Jr06zZA3uxbuslNr8cxwMB3bPaCbZMfscTxojyOEVGYAF9m/g//Du8NsV6s+ReU1uiRq5LgZOM7NPso6ns5QJedpcht+NHZxVAAp1AG4RuZEFVuyxIOds4DEz/pF1IHVT1Sx4d/jBVFJZU7oF8DDWKeeuVBOyGT/iXf/F2NrljME70rNVp2aj8Suy3I4uRmq5CvwaX+AzRqHWzDisabEv3muR27/TtigT8jSIGrx+D5wkaYm0z1eoo/Byy/qRc0uhkdga2JyiG0c0cxJwLxV7IqXzOluuhvQVMhSvbJ3tTPKUHAmsi/R/WQcyLSywT/HFNwFws0KdpVAzZRzWFEhaBBcxexShkaslZULuADN7A99LfE1apWuFkkINwVfsrRcN7xeayIDgSmAPM77OOp66qWpZ/IP8D6mcJ02PK+T2tnO1Js31mU3cAWwiUaTmn1HAb6JqR3a4AcUg3IAi7RepLhGp5Rvwe+UFgRcUKv3NZ20QlaqvAs42X8JSKMqE3DkuwP+uDkn6IIUScAbu27q+BfZR0mcmTTSfehlwvRkPZRxO/Xgj1wXAyVQsrXvw/sA7dP4+LO2mLsz4Lz4CtUGa59ZFxT7D7793yDoUzJ7AFfuVWRlQdAUL7L8W2E54A+yNCnVeisto2mM/vFR9VsZx1ESZkDtBi9L1iUmWriPz8IuB9YANo/JQI7ArsDQ+gtAIbI+rz0tSPLMr5WrIpmQNRStbO3kpW4M3ki6If94UAgvs78BywC9wtZzJnXyRS9VNyAppDJQNkg7HlesGcbuFRG4rVwOLAAMssKL7AQMgsRDwLLCZGWOyjqdufN3iq8CuVFIcP5PeAHbGOucgFb3c/QDMYoH9mGhsLc/17Wt3AIsUZqStql74TPzaVOytrMPBRy0fBNbA7J2sw+kKCrUtcCnwD+BYC+zbVM71isK9wH1m9uc0zkyCUiF3jURK19F6uuvx9W5bNlAybjKOOKchkrFzPPBIysl4KWBm6PzfYeSH/V/Sv0d+FZiE3y8Wg4r9BFSB3bMOBQCzl4HTyIkBRVewwG7F1XIf4CWF2jilo/fDxw8LWapuokzIXSCJ0nXUofgP3JRgWws6NdJSFAbjZuBnZB1ILFT1K3ycIm3HmKbtXF1VnKmXrQu6tQu8bJ3tTPKUnAdMxNdrFgoL7CsLbA/gIGC4Ql2mMLkZ66hUfTKwZ1FL1U3k5YevMERd16cAI6X6bMoUqg/eNfs1sEOapcWkiUqXJwCDCm8cAS0buU6jkvqiga7eHzeRRac1FDEhV+wF4Atgw6xDAVoaUByFium8ZIHdgavlnrha3izuM+Te4NcCZxWxq7o1ZUKujQuAr/DEXBMKNRtwD/AOsJsFNiGm2DInMo4YCRzfIMYRAL8BFsL/7dNDmhNYCXighu9OvdM64hFgaYl5Mji7HoYDe2YdxM+YvU+zAUWRRsl+xgL72gLbG68sXalQVynUrDEecRJuZVnoUnUTZUKugaiha3egImmLrn6/Qs2Ff8D+C9jXglS2PKXJScAn+Nxx8alqZuBcfCNX2i9OWwIPYvZ9Dd+bSae1GT/hL5tbp312nYwCtomsNPPCtcBb5NCAoitEZjjL42X4lxWq7o1ukjbCdzXsGl0nFp4yIdeImf0XH+cZJmm+zn6fQs2Lzz3eCRweedc2DBJr4b8kxTeOaOZY4F9UrBaVWi+1lqshu9EnKGbZ+nP8RTn7meQmvG9gP2BXpPWyDqceLLBxFtj+eCn+YoUarlCz1/IsSXPjVbjdzew/MYaZKWVCrgMzexhfeHGdOtENqVAL4+W8URbYCQ2YjHvjb/QHmdEYvyRVLQ4cSBbNNVIvYDNgdI1PyDIh3wFsJJFrE4I2GE6eytYA/vKfawOKrmCB3Y+r5W9xtbxtV74/2pg4EhhuZvcmEGJmlAm5fk7BDSimufRCoZbElfGFFtipaQSWAWcBT5rxt6wDiZHzgLOo2IcZnL0u8AZm/67x+7Nq6sKML4DngY2yOL8O7gQWjzrq84PZ7bh5x7lZhxIHFti3FtjBwEDgXIUapVBzdvLbjwZ6kzO/+jgoE3KdRHcXA4ED1I6nqcKfB/1PtsDSbQpKCYktcaefxNeLpkZV2wC/IrsPwXrK1ZBdU1cTRSxbT8DvkvMxkzwlRwAbIP0m60DiwgJ7CHeQ+i+uln83ra+XtDb+97BL0Uec2qLc1BUTUXPXlcDK0f2y/++hVsFLjodbYNdnFV+SRMYRLwC7mvFg1vHEQlUz4nuZD6Jid6d+vm8eegv4HVab7aZCzQO8aIFlopIllsa3Jy1UqH6CqpbHlfLCKdlqdh6pP3ATsALu2d4wRAYV1+ALcA62oPlzFEDSHMBzwKFmdmsGISZOqZBjwszuwrf9jGhyhVKo/vgv9n4NnIyFr8r7a8MkY+do4MVMkrGzDL4s5sU6nvE5MHu0ljULXsfXd66Y0fm1UbGXgP8AaW2Z6jxmj+P33IUwoOgKFthj+M/Kh/jc8o6R2U7TasyrgX80ajKGMiHHzR/xlXF/UqgR+Aau3SywW7INK1EGAsviKyUbg6oWAQ4DDs8wCi9X11HCssAm4vPyc8UWVVfOL+7WLvCkt0fGMbRHACxM3prPYsACG2+BHYV7BoTATQr1S5bjfny18LGZBpgwZUKOETObAGzH9OzNywwCto/m7xoSiQXx+9Vdzfgh63hi5BzgPCr2foYx1Ht/3ESWndZQ3IR8PbAVVc2WdSBTYfYTPnJ5OtKiWYeTBBbYk/hCnDd5mdf5gA2B35k1zjbDtigTctwM4SD24pfcAXzCwwo1JOuQkqCFccR5DWQcAVVtjjeZnJlZDNJc+FjIQzE8LbNO64jHgMUlOj2rnwsq9gV+/71T1qG0iRtQnE4BDSg6iwX2A68zK3cwKzsBQ/ikUT9PmygTcsxYYEPsUhPbAFfwAUO4NOuYEuIQ3IHo9KwDiY2qZgAuBAZTsSwV/1bA/VgsMWTaaW3GBOBuire1C/JdtgavThneddxwSPoF17MF46kwP1hgssCGZB1XkpQJOSmWJcQdZP6ugu6hbQ+JZYATgd3MaKTRg8OB16lYrYs44iKucjVkX7KG4pat7wYWoaplsg6kTXzkcnfgGKRfZx1OnMiX4twE/MXMrsfvkxuecuwpQaJu6xtxN6e9rAH+siWmB54ErjLjsqzjiY2qFsTHLVankqEpvH8QfQb8Ko6xFoU6FpjDAkvbMrI5BjE78D7wSzNq2cmdHVWdAUymYvltJpL2xJsQV6dB7lglXQosAPxfo+yp7gylQk6QFiYUqwCHZhxOXJyIJ4zLsw4kZs4CLs40GTvrA6/FOGOauUI24yt8fjR/Y0QdMwLYjWqu72mH465xDaEiJR2A/x4M7E7JGMqEnDhm9i1u3XesFL8faJpIrIkvut+rUIseOqKqjYHVycd9eJzlasi+qauJYpatK/YK8DG+UzyfeOVtX2AQ0rpZh1MPkjYAhgDbmtm4bKNJnzIhp4CZvYd3a16ngpqNR8YRI3HjiFp3K+ePqnrhjVyHU7Hxmcbiyw/iTshZr89s4jZgm2iRTNEYRr6bu5oMKPbDu65nyTqcWpDUD/grUDGzt7KOJwvKhJwSZvYIcDAwWsWcHTwT+KcZN2UdSMwcgt9v5mF5Sz/cqOTlGJ+ZeckawIw3cHeflbOOpQb+AmxBtTarwNQwuw23jyycAYWkBfGthkea2f1Zx5MVZUJOETO7AS+L3i3pF1nH01kktgC2oZGMIwCqmg84Dh9zykMJvu7tXG3wGfALhcrD73pRy9ZfAXcBu2QdSic4HNgIdc3SMEskzYl3tJ9nZtdlHU+W5OGXtFthZhcCN+BKuU/W8XSExJzAVcCeZvwv63hi5kzgCir2RtaBRMRdrsYC+xH4DsiDuitmQnbyX7YGMPsGbyS9jAK89EuaGbgduN3Mzsk6nqwpE3I2nIibBvwtmrfLJdF93yXATWY0VhmpqvVwv+GhWYcCgDQ3vhP84QSenouyNfA4sIjEAlkHUgP3AvNTVb+sA+kQs0fxfo8r8mxAIWl6XJy8QYPvqO4sZULOgGgeeX/cCeeaJneoHLILvsLxuKwDiZWqegIXAUdSse+yDidia+C+hOZIPyMHndbREpm78OuPYuE2jCMpgkp2TgIWI5++zk3uTVfgOWjvaES025PXRNDwRObauwCLAGcpZ2+ykXHEefg2rmItc+iYg/AklacGtdjL1S3Ii0KGYpethwO7Ri90+cZf7HYDzkRaJNtg2uRUvCK0Q2TKU0KZkDPFzMYD2+IzjkdnHM7PRMYRw4ALzHg263hipapf4jaZh+SkkQukGfGlGXckdEKeEvJdwLrRGF2xqNhY4D1g84wj6RxmLwJnkDMDCkmDcXvFrc1yU6HKBWVCzhgz+xLYAjhA0oFZxxNxMNAb+HPWgSTA6cBwKvZa1oG0YAPgpWiWNAlyk5CjxsCngU2yjqVGhlMsH+Jz8FG6LL29f0bS3sCRwOZm9nnW8eSNMiHnADP7CFdIf5C0b5axRMYRJwGDGsw4AqpaG08Ef8o6lFYkWa6GHCXkiCKXrf8KbEpVc2YdSKdoNqD4A9LyWYYi37k9BNjYLFOv8dxSJuScYGbv4En5REm/zyKGyDhiJHCiGW9mEUNi+C7ii4BjqNg3WYfzM8ls52pNXtZnNnEbsHV0NVIsKvY/YDTFmEl2zN4F/gCMJCPnOUm7AafgybixPltipHi/EA1MtC5uY+BPkvbIIIQ/Av+FBnJxamY/YBxwfdaBtOLXwAQgyRJ6XtZnAmDG28BXwKpZx1IjwylW2Rq8J+R9XKGmiqQKflW0qZm9nvb5RaJMyDnDzN7Ay6qnRCWeVJBYHR/FaizjCICqfoF/EOWnkauZJLZztSZvJWsodtn6fmBuqgXyIPafr32APZD6p3WspIG4k9pmZvZqWucWlTIh5xAzG0uzUt4n6fMkZsZL1YeY8UnS52XAqUCVir2UdSBtkHS5GqKErDBXo3XFTcg+k3wtOZ3xbRe39NwfuDYNAwpJu+Nd3puYWZz72RuWMiHnlKi0syF+p7x/wsedATxjxg0Jn5M+Va2OL90Isg5lKqR5gF8BjyZ5jAX2HTAJyJML0JPA/BILZR1IjYzAZ5KnzzqQLmF2C74N7uwkj4n6YIbid8alMu4kZULOMdGd8ga4l/LgJM6Q2ByfhT44iednSlXTARcDx1Kxr7MOpw22Bu7B7KcUzspVY5cZk3B3n+Jt7QKi/edvAltmHUoNHAZsipTI330kIEJgo6jaV9JJyoScc6Lu6w2AAyUNjXOjl8QcwNW4ccRXcT03R+wF/ATk1UEmjXJ1E7lq7IoobtnaGU5xVmk2YzYOGITvuo7NgELOSfiSow2ifpiSLlAm5AJgZu8B6wCbAldKsa3uuwT4W8MZRwBUNQc+ZnEQlRzuyfXtXBviKjEN8tjYdTfQXyL3rmftcAOwUdQ0WCzcgOI64PI4DCjkm8Auxjdw9Tezt+t9ZnekTMgFwXyL00bAgrhL1Mz1PE9iF2AFGtdl5RTgRir2fNaBtMNGwAuYfZHSeblLyGaMA57CXzSLR8XG4Sq/knUoNXIisASulmtG/nL5V2ApYH0z+08MsXVLyoRcIMzsW7zE9w1wj6Q5anlOZH93Po1pHAFVrQz8Dv/AyStplqshhwk5oixbZ0WzAcVZSAvX8ghJs+L7yScDW5mXw0tqpEzIBcO8AWgQriweldQlb9loO9I1wEVmPJNAiNnS3Mh1AhXL5724lwi3oUzIUOStXc6DwBxUtWLWgdSE2Qv4nPBwumgDK2levGP7ZWAXS8Y6tFtR1F+Cbo2ZTTazI/HtO49LWqYL334gMCs+m9uIDIKf3aryyoq4F3aaW4ty1WXdhBnv4tvhVs86lprw/oQRFFUlO2cBPfHu604h6VfA48CNwCHmO7NL6qRMyAXGzM7Cy7IPSVq7o6+XWArfWLVbwxlHAFQ1G3AaeW3kaiaN7VytyWOXdRNFL1uPACpU1SvrQGqi2YDiOKR+HX25pNVwZXyqmQ21dH+OG5oyIRccM7sWfzu/OdqM0yYtjCNOMqNRxxH+BNxKxfJeik/7/hjyW7KGoifkir0NjMXnyouJj1ceC1yH2n+xkLQL7tu9n5ldlVZ43YUyITcAZnYnPqt8oqSz2xmLOgH4Erg0zdhSw/cK74z/d+YXaT5gceCxlE/Oc0J+CphHYpGsA6mDYRS7bA3eW/IhbRhQSOoh6TT8qmtjM7s15di6BWVCbhCi9XSr46NMt0uarenPIuOIA4DfN5xxBEBVwhu5TqKSe9PzbYC7MZuQ8rlfA70UaqaUz+2QaGvXHRRZJcNNwPpUldeXno5pNqDYkxZXYJL6AjcDawGrmdmLGUXY8JQJuYEwsy+BLfBmoackLSUxFC9VH9qgxhEAA4GZgSuzDqQTZFGuxgIz/B45d41dEUUvW38D3IL/LBYXs0/xl/cqs8766ps9ekxcXPrsF/5Ct6lZ7l94C02ZkBsMM5toZoNxw4hH4c7jgWfN+GvGoSVDVX1xr9WDIxee/OLLXNYnve1crclzY9c9wFoSfbMOpA6GAXtGFZviYnYzffrMeu/22y+9zpxz9jjiN7/p9VnfvitZ+lWdbkeZkBsWWxAe+4Wvcz57F2nykKwjSogAuJuKPZl1IJ1gY+BZLLP56NzeI5vxDT5Gs1nWsdTBI0AfYKWsA6kHSTr/u+/6Dho9WjfceCMHjholvvtuqazj6g6UCblBMWOIWX/BP4Gjnocei0nqnXVcsVJVP3zuuCjrPzMpV7cgtwk5ouhl66aZ5D2zDqVWJM0EXHWpNOHx3XefvP5qq8FFF02md+80Z+a7LWVCbngWCnFjCoCnJS2XZTSx4WXBC4E/UbHPsg6nQ3wLUtrbuVqT94R8O7CVRI+sA6mDEcAuVDVD1oF0FUnLAv8CZrpw8uRVF7vssrH07TuJoUPHMm5ccV+UCkSZkBscV8r2nZkNwu9aH5S0b5w2jhmxIzAnxRnjWhkYh9mbGcaQ64RsxvvAJ8CaWcdSMxV7F3iJAvk8R7aJe+LLPs4DBm5q9jJff92PiRN78vXX/aI55ZKEKRNyN8LMRgDrAgcBf4kWwxePqvrg6/4OomJF2TiWdbkacro+sxXFLls7wylI2VrSLPgUxlHAhmZ2dbl5KzvKhNzNMLOxuAL5EnhO0qoZh1QLfwQeomJpL9eohzwk5Dx3WTfRCAn5JqA/Vc2bdSDTQtKKwLP4XvXVzOzljEPq9pQJuRtiZt+b2QF4M9Qdkg4vTAm7qqXw1vFjsg6l07gj18LAExlHkuuSdcTTwJwSi2UdSM1U7DvgH+R0JjkqUR8E3AsMMbO9zWx81nGVlAm5W2NmN+JqeRfgFklzZhzStGlu5DqViv0763C6wDbAnVjm5fXcJ2QzJgOjKb5KHk4OZ5IlzQ78DX+pXdvMqhmHVNKCMiF3c8ybNdYB3gBekvSbjEOaFr8F5gMuyjqQLpKHcjXAF0BfhZo+60A6oBHK1o8CMwK5uRKStDXecPYRsJZl22BY0gZlQi7BzH4ys6Nwc4azJY3KnVquambgXHwjV3E2Bvns97rAXVmHYoFNBj4HfpF1LB1wL7C6RDGbDgEqZrhK3iPbQFwVSxqOv8gOMrNDzezHjMMqaYMyIZf8jJk9gptTfE7+1PJxwBNU7KGsA+kimwBPY/Z11oFE5L6xy4zvcDeszbOOpU6uBXamqhmzCqCFKv4OWN7MHsgqlpKOKRNyyRREM8uDaVbL10maI9OgqloCX3h/dKZx1EZeytVN5P4eOaL4ZeuKvQ+MAbZN+2hJs0kaRrMqPsjMvk07jpKuUSbkkjZpoZa/AF7OTC17U8z5wBlU7KNMYqgV3861NWVCroXbgS0l2vL2LhLDSblsLWkrXBWPp1TFhaJMyCXt0o5anivlMLYBFsc3CBWNVYGvMHs760BaUIiEbMaHwIe4B2+R+TuwFlXNn/RB0V3xMNwb3SS5BgAAC0hJREFUfPdSFRePMiGXdEgLtfxf4BVJ+0lKft9wVTPh6vgQKvZT4ufFT97K1VCQhBzRCGXr8fiikF2TOkLSdJL2Al6jvCsuNGVCLukUkVo+HLfH2xV4StIaCR97DPAcFbs34XOSIq8JOe/rM5sofkJ2hgN7JDGTLGkVfOHM3sBWZnZwqYqLS5mQS7qEmb0ArIcr139IukpS/GM0VS0KHAocEfuz00BaGFgAyJtPc+67rFvwLDCbxJJZB1InTwA9gNheYCXNKekyfInK5UB/M3surueXZEOZkEu6jDkjgWWAb/Ay9oExl7HPBc6hYh/E+Mw02Qa4A7NJWQfSisKUrKOtXbdTdJUc40xyVJ7eB3gVmAgsY2bDzGxyvc8uyZ4yIZfUjJl9HZWxN8Ybv/4lqX7rvKq2BPrhjk5FJY/laihQQo5olLL1SGDHqC+iJiStBvwTT+ybR+Xpr2KKryQHlAm5pG7M7CVgfeAc4G+SRkpatKaHubH7BcBgKgXdJuSWdv2Bu7MOpQ3+C8ypMIWmvHi4D1hFYvasA6mLin0IPAP8X1e/VdJCUff0rXgH9bpm9nzMEZbkgDIhl8RCVMYeBSwNvA08I+l8SV1tIDoSeJWK3RF7kOmxKfAkZuOyDqQ1FtgE4Gsg22UvncSM8cDDwBZZxxIDw+hC2VrSXJLOwZeLfAwsbWYjyvJ041Im5JJYMbNvzGwIfr8M8JqkIZER+rSpaiE8IR+WXISpkNdydRNFauyCxilb3wysRlULTOuLJPWR9EdgLDAD0M/M/mj5Wb9akhBlQi5JBDP7LFoqsiqwGPCmpMGSZpjGt50NXEjF3k0lyCTwxra8bedqTdHukW8HtpDIu0vVtKnY98CNwKC2/lhSr8in+E1gWWDNaLnHf1KMsiRDyoRckihm9q6ZDcLnlzcFXpc0aKqO7Ko2AVYBTk8/ylhZHfgUs/eyDmQaFCohm/EJ8A5+L190vGzdYiY56pyu4Is9tsHniStm9lZWQZZkQ5mQS1LBzF40s22A3YD9gBckDfzoIi3JjbO+gnrcS89ZegDzZhtp3eS9XA0FS8gRjVK2/oyefRZGPSZO/EvfV1ZdTIfid8SDgb3MbEszG5NxjCUZUSbkklQxs0eBdYCjgH3XGqJXLnlpw2V+GPAZ9DthAabvm/dk1hFlQk6GxkjI0/e97YdfHTv9Ff87b7qlj+m1LJruNOB4vDz9UMbRlWRMmZBLUifqyL7LzNb/y8Ga7q4xE7Tokv04/dafpvt63LdLZR1fzUiL4Gsp/5VtIB1SpPWZTYwBZpYo7M+HpFnOvPmbpRff+mLdfNsdDLv2ep45RTOY2Wgzs6zjK8meMiGXZEr/fn1ev/X09Sffc8ctvPj4322RwZORNLSGcak8MIB8budqTdG6rDHDKOjWrmh86U/AO4++3uPb2y/YcfIdt97EunOPmUzP3q9nHV9JfigTckm2TBg3gFeGjl1+7NqTRu3+zmv7bsjGwOzAWEkXSlos6xC7QBHK1VDMkjUUrGwtaRFJ5wFv4H/fa916xMSVVpo8bCw39p3EK0PHMmFcYf57SpJHZaWkJI9ImgefR94LeBq4BLjT8qo+pb7AR8B85NxtR6EWBh6zwBbMOpauIDET8B9gUTO+zDqetpA0HbA5cCDu5TwMONfMPsk0sJJCUCrkklxiZv8xs2OBhYC/AicCb0s6NhF3qfrZDHgi78k44lNgboXx2wEmiRnfAw8BW2YcylREZemj8RniU4B/AAuZ2dFlMi7pLGVCLsk1ZvZ9tC5wDWB7YEngDUnXSVpbyk1SKUq5GgvsB+AHYNasY6mB3JSt5awhaQSeiPsBuwCrmtk1ZjY+2whLikaZkEsKg5k9Y2Z7AYvjXrkjgDGS9pWXjLPBl5xshTcdFYXCNXZFjAY2z3Jrl6RZJO2Fm0VUgZeAJcxsDzP7V9kxXVIrZUIuKRxm9qWZnQssBRyNGw98KOmvkgZI6pVySGsCn2D2fsrn1kMhG7vM+DeuRtdN81xJ00vaWlIV+BDYFjgBWNLMzjKzL9KMp6QxKRNySWExs8lmdq+Z/Q7fl/0gcAzwsaRLUixpF6Zc3YJCJuSIVMrWLUrSF+JuSycAj+Fq+DfRLH3pvFQSG2VCLmkIzOwLM7vMzNYFVsM7nq8G3pJ0sqSlEzy+TMjpchswQCKRly1JS0oagivxa/Hy/lpmtraZXWJmnydxbklJmZBLGg4ze8/MTsUdc3YAZgYekPRM1KW9bGzKWVocmBMfzSoSRU7ILwC9aLb4rItICS8t6RhJTwGPArMBO+MexCeb2dtxnFVSMi16Zh1ASUlSRM01zwHPSToG2BD4DXAnMEHSbcCtwGNmNqHGYwYAoyle6fJTYKWsg6gFM0z6eWvXq7U8Q1JP3D1qAH4fPBOuvE8C7jeziTGFW1LSaUqFXNItMLNJZnafmR0CLAJsB3wJnAF8KmmUpJ0kdXUUqIjlaihul3UTXb5HltRX0g6SRuIvJOcA3wA74TPDB5rZ3WUyLsmKclNXSbdH0vy4D+0AYD3cHOJuvEns+XY/oD15fwTMg9l36UQbDwrVHzjLAlsr61hqQWJGPKkubkabd7qR5/YKeGVkM3xz1uN4VeR2M/swpXBLSjpFmZBLSlogqTewKbAJsAGwAN5Z+yC+Jep5M5uEtBizzPIw48fPT+/erzFu3ADM3skq7q6iUEsA91jw/+3dvW9VZRzA8e8PNAwtbSpUQ1kM1pYYAxHciS6uGidiCIOLgybsHUqN7v4FDqIJgxJEBxJdJMGXxKqLQ4saBxCx4CWBMjS0P4fn1PviG0Ju71Py/SQn57ZNbk9vh+89zz3Pc3IzrRXeJYJTQGTyQvk6tgL7KP+3ZyhToy5T/m+fAp9k5o2BHKx0Bxyyljpk5nJmns7MVzPzSWCKsgDJHsoVt1cj4szr27Z9Pn/06O7VViuYmdnLyKa7j/NmvqirsfIxfPd8RByLiA+BJcpCHVPAe5QLsp5ohqJPGWPVzjNk6X+IiEeAQ69EnPxsejouXrrEU/v3c+D8+Xwr8whl9aYLtc9PbdaxXgbGc7b+4fbmpg2TwMGyPf4iXHkUdlFOiMc/gDdey8zLAzxM6Z4YZOlujI5+z8zM3muHD2+Zn5tbO3fixNU3V1bOAU9TpkF9S1ne8+tmX12kYy5+Bp7N2bqG2v8aXw4CB4AW5bXs2HIpsz/zkaWNZpCluxGxh5GRj1henmZoaKHzM+SI2EEJSGdQdgILlHvjru8XKaEeyFBqzMVXwLGczS8G8vvL5/VTPdt0s7Vov5mZB775uwU5IjieyfGNOmapnwyytAEiYowSmt74TALXaQd6EfgR+IVyQdKv9zBH+t+PaS7OAG/nbJ7uy/NHPEj5nHqCMrb8GN1//0PAD3S/QVkEFjKzyvsdS/3kwiDSBsjMFvBls/2pGZ7dTXekD1ECNgGMR8R1SpzXI935+HfgJmU+7Y3m8c07HB6/ArwM/GeQm+McArY323CzH6Md3F0djyean/3Wccw/Ue6M9D4lvBdrG8aXBskzZKlizVSenXSHrjN+Y3QHcjtlqdBbtAO9vr8NrAJrwBoPM8kok1zgLGXGxRZgK+WN+vA/PGdv/Fu03xz07pcyc7U/r4x0/zHI0n2m52x2uGP/AOvhfY4j7OAlsvnONd7lLO9QYn2b5kybdnxvGVepvwyyJEkVcGEQSZIqYJAlSaqAQZYkqQIGWZKkChhkSZIqYJAlSaqAQZYkqQIGWZKkChhkSZIqYJAlSaqAQZYkqQIGWZKkChhkSZIqYJAlSaqAQZYkqQIGWZKkChhkSZIqYJAlSaqAQZYkqQIGWZKkChhkSZIqYJAlSarAHzX4zwYqk3mdAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Sur la jante\n", "theta=np.arange(n_r)*2*np.pi/n_r\n", "x =radius*np.cos(theta)\n", "y =radius*np.sin(theta)\n", "\n", "# Sur le moyeu côté cassette\n", "r_ib=D1_b/2/1000\n", "theta_ib=(np.arange(int(n_r/2)))*2*np.pi/(n_r/2)-2*(4-n_cb)*(2*np.pi/(n_r/2))/2\n", "x_ib =r_ib*np.cos(theta_ib)\n", "y_ib =r_ib*np.sin(theta_ib)\n", "\n", "# Sur le moyeux coté disque\n", "r_ia=D1_a/2/1000\n", "theta_ia=theta_ib+(2*np.pi/(n_r/2))/2\n", "x_ia =r_ia*np.cos(theta_ia)\n", "y_ia =r_ia*np.sin(theta_ia)\n", "\n", "#fig, ax = plt.subplots()\n", "fig = plt.figure(figsize=(8, 8))\n", "ax = fig.add_subplot(1, 1, 1, aspect=1)\n", "\n", "# Jante\n", "circle = Circle((0, 0), radius, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "# Flasque côté cassette\n", "circle = Circle((0, 0), r_ib, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "# Flasque côté disque\n", "circle = Circle((0, 0), r_ia, clip_on=False, zorder=10, linewidth=1,edgecolor='gray', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "\n", "imax=int(n_r/4)\n", "#Placage des rayons de queue côté cassette\n", "#imax=3\n", "for i in np.arange(imax) :\n", " i_j=(i*4)%len(x) #index du trou sur la jante\n", " i_f=(i*2+4)%len(x_ib) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ib[i_f]]\n", " y_r=[y[i_j],y_ib[i_f]]\n", " z_r=[0,ec_b/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rbq=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='o',color='red', markerfacecolor='w',markeredgecolor='r',markersize=4)\n", "print('longueur des rayons de queue côté cassette : %i mm' %l_rbq)\n", "\n", "\n", "# placage des rayons de queue côté disque\n", "#imax=int(n_r/4)\n", "for i in np.arange(imax) :\n", " i_j=(i*4-1)%len(x) #index du trou sur la jante\n", " i_f=(i*2+3)%len(x_ia) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ia[i_f]]\n", " y_r=[y[i_j],y_ia[i_f]]\n", " z_r=[0,ec_a/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_raq=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='o',color='orange', markerfacecolor='w',markeredgecolor='orange',markersize=4)\n", "print('longueur des rayons de queue côté disque : %i mm' %l_raq)\n", "\n", "#Placage des rayons de tête côté cassette\n", "#imax=1\n", "for i in np.arange(imax) :\n", " i_j=(2*(2*(i+n_cb)-5))%len(x) #index du trou sur la jante en prenant en compte le nombre de croisement\n", " i_f=(i*2-1)%len(x_ib) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ib[i_f]]\n", " y_r=[y[i_j],y_ib[i_f]]\n", " z_r=[0,ec_b/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rbt=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='+',color='blue', markerfacecolor='w',markeredgecolor='b',markersize=4)\n", "print('longueur des rayons de tête côté cassette : %i mm' %l_rbt)\n", "\n", "#Placage des rayons de tête côté disque\n", "#imax=3\n", "for i in np.arange(imax) :\n", " i_j=((i+(n_cb-3))*4+1)%len(x)\n", " i_f=(i*2-2)%len(x_ia)\n", " x_r=[x[i_j],x_ia[i_f]]\n", " y_r=[y[i_j],y_ia[i_f]]\n", " z_r=[0,ec_a/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rat=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='+',color='green', markerfacecolor='w',markeredgecolor='green',markersize=4)\n", "print('longueur des rayons de tête côté disque : %i mm' %l_rat)\n", "\n", "\n", "ax.set_axis_off()\n", "ax.set_xlim(-radius, radius)\n", "ax.set_ylim(-radius, radius)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "Cette configuration semble fonctionner, en particulier avec les rayons fournis.\n", "Le [Calculateur de rayons DT Swiss](https://spokes-calculator.dtswiss.com/fr/calculator) donne également :\n", "\n", "- côté cassette : 260 mm\n", "- côté disque : 255 mm" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "### Un zoom" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "hideCode": true, "hidePrompt": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Zoom de la figure précédente\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "print('Zoom de la figure précédente')\n", "\n", "#fig, ax = plt.subplots()\n", "fig = plt.figure(figsize=(8, 8))\n", "ax = fig.add_subplot(1, 1, 1, aspect=1)\n", "\n", "# Jante\n", "circle = Circle((0, 0), radius, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='None')\n", "#ax.add_artist(circle)\n", "\n", "# Flasque côté cassette\n", "circle = Circle((0, 0), r_ib, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "# Flasque côté disque\n", "circle = Circle((0, 0), r_ia, clip_on=False, zorder=10, linewidth=1,edgecolor='gray', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "\n", "imax=int(n_r/4)\n", "#Placage des rayons de queue côté cassette\n", "#imax=3\n", "for i in np.arange(imax) :\n", " i_j=(i*4)%len(x) #index du trou sur la jante\n", " i_f=(i*2+4)%len(x_ib) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ib[i_f]]\n", " y_r=[y[i_j],y_ib[i_f]]\n", " z_r=[0,ec_b/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rbq=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='o',color='red', markerfacecolor='w',markeredgecolor='r',markersize=4)\n", "#print('longueur des rayons de queue côté cassette : %i mm' %l_rbq)\n", "\n", "\n", "# placage des rayons de queue côté disque\n", "#imax=int(n_r/4)\n", "for i in np.arange(imax) :\n", " i_j=(i*4-1)%len(x) #index du trou sur la jante\n", " i_f=(i*2+3)%len(x_ia) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ia[i_f]]\n", " y_r=[y[i_j],y_ia[i_f]]\n", " z_r=[0,ec_a/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_raq=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='o',color='orange', markerfacecolor='w',markeredgecolor='orange',markersize=4)\n", "#print('longueur des rayons de queue côté disque : %i mm' %l_raq)\n", "\n", "#Placage des rayons de tête côté cassette\n", "#imax=1\n", "for i in np.arange(imax) :\n", " i_j=(2*(2*(i+n_cb)-5))%len(x) #index du trou sur la jante en prenant en compte le nombre de croisement\n", " i_f=(i*2-1)%len(x_ib) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ib[i_f]]\n", " y_r=[y[i_j],y_ib[i_f]]\n", " z_r=[0,ec_b/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rbt=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='+',color='blue', markerfacecolor='w',markeredgecolor='b',markersize=4)\n", "#print('longueur des rayons de tête côté cassette : %i mm' %l_rbt)\n", "\n", "#Placage des rayons de tête côté disque\n", "#imax=3\n", "for i in np.arange(imax) :\n", " i_j=((i+(n_cb-3))*4+1)%len(x)\n", " i_f=(i*2-2)%len(x_ia)\n", " x_r=[x[i_j],x_ia[i_f]]\n", " y_r=[y[i_j],y_ia[i_f]]\n", " z_r=[0,ec_a/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rat=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='+',color='green', markerfacecolor='w',markeredgecolor='green',markersize=4)\n", "#print('longueur des rayons de tête côté disque : %i mm' %l_rat)\n", "\n", "\n", "ax.set_axis_off()\n", "ax.margins(x=-0.4,y=-0.4)\n", "#ax.set_xlim(-radius, radius)\n", "#ax.set_ylim(-radius, radius)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "## Test 3 croisements " ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "hideCode": true, "hidePrompt": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "largeur du moyeu côté disque : 23.30\n", "largeur du moyeu côté disque : 35.20\n", "longueur des rayons de queue côté cassette : 270 mm\n", "longueur des rayons de queue côté disque : 268 mm\n", "longueur des rayons de tête côté cassette : 270 mm\n", "longueur des rayons de tête côté disque : 268 mm\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# 28 trous\n", "n_r=28\n", "\n", "K=100\n", "K_a=26.7\n", "K_b=14.8\n", "D1_a=58\n", "D1_b=45\n", "\n", "n_ca=3\n", "n_cb=3\n", "\n", "d_ff=K-K_a-K_b\n", "ec_a=K/2-K_a\n", "print('largeur du moyeu côté disque : %.2f' %ec_a)\n", "ec_b=K/2-K_b\n", "print('largeur du moyeu côté disque : %.2f' %ec_b)\n", "d_tr=2.6\n", "\n", "radius=D_iR/2/1000\n", "\n", "# Sur la jante\n", "theta=np.arange(n_r)*2*np.pi/n_r\n", "x =radius*np.cos(theta)\n", "y =radius*np.sin(theta)\n", "\n", "# Sur le moyeu côté cassette\n", "r_ib=D1_b/2/1000\n", "theta_ib=(np.arange(int(n_r/2)))*2*np.pi/(n_r/2)-2*(4-n_cb)*(2*np.pi/(n_r/2))/2\n", "x_ib =r_ib*np.cos(theta_ib)\n", "y_ib =r_ib*np.sin(theta_ib)\n", "\n", "# Sur le moyeux coté disque\n", "r_ia=D1_a/2/1000\n", "theta_ia=theta_ib+(2*np.pi/(n_r/2))/2\n", "x_ia =r_ia*np.cos(theta_ia)\n", "y_ia =r_ia*np.sin(theta_ia)\n", "\n", "#fig, ax = plt.subplots()\n", "fig = plt.figure(figsize=(8, 8))\n", "ax = fig.add_subplot(1, 1, 1, aspect=1)\n", "\n", "# Jante\n", "circle = Circle((0, 0), radius, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "# Flasque côté cassette\n", "circle = Circle((0, 0), r_ib, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "# Flasque côté disque\n", "circle = Circle((0, 0), r_ia, clip_on=False, zorder=10, linewidth=1,edgecolor='gray', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "\n", "imax=int(n_r/4)\n", "#Placage des rayons de queue côté cassette\n", "#imax=3\n", "for i in np.arange(imax) :\n", " i_j=(i*4)%len(x) #index du trou sur la jante\n", " i_f=(i*2+4)%len(x_ib) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ib[i_f]]\n", " y_r=[y[i_j],y_ib[i_f]]\n", " z_r=[0,ec_b/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rbq=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='o',color='red', markerfacecolor='w',markeredgecolor='r',markersize=4)\n", "print('longueur des rayons de queue côté cassette : %i mm' %l_rbq)\n", "\n", "\n", "# placage des rayons de queue côté disque\n", "#imax=int(n_r/4)\n", "for i in np.arange(imax) :\n", " i_j=(i*4-1)%len(x) #index du trou sur la jante\n", " i_f=(i*2+3)%len(x_ia) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ia[i_f]]\n", " y_r=[y[i_j],y_ia[i_f]]\n", " z_r=[0,ec_a/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_raq=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='o',color='orange', markerfacecolor='w',markeredgecolor='orange',markersize=4)\n", "print('longueur des rayons de queue côté disque : %i mm' %l_raq)\n", "\n", "#Placage des rayons de tête côté cassette\n", "#imax=1\n", "for i in np.arange(imax) :\n", " i_j=(2*(2*(i+n_cb)-5))%len(x) #index du trou sur la jante en prenant en compte le nombre de croisement\n", " i_f=(i*2-1)%len(x_ib) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ib[i_f]]\n", " y_r=[y[i_j],y_ib[i_f]]\n", " z_r=[0,ec_b/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rbt=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='+',color='blue', markerfacecolor='w',markeredgecolor='b',markersize=4)\n", "print('longueur des rayons de tête côté cassette : %i mm' %l_rbt)\n", "\n", "#Placage des rayons de tête côté disque\n", "#imax=3\n", "for i in np.arange(imax) :\n", " i_j=((i+(n_cb-3))*4+1)%len(x)\n", " i_f=(i*2-2)%len(x_ia)\n", " x_r=[x[i_j],x_ia[i_f]]\n", " y_r=[y[i_j],y_ia[i_f]]\n", " z_r=[0,ec_a/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rat=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='+',color='green', markerfacecolor='w',markeredgecolor='green',markersize=4)\n", "print('longueur des rayons de tête côté disque : %i mm' %l_rat)\n", "\n", "\n", "ax.set_axis_off()\n", "ax.set_xlim(-radius, radius)\n", "ax.set_ylim(-radius, radius)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "On retrouve les mêmes longeurs suggérées par le [Calculateur de rayons DT Swiss](https://spokes-calculator.dtswiss.com/fr/calculator)." ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "# Roue arrière VTT 27.5 Agathe" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "hideCode": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "largeur du moyeu côté disque : 35.60\n", "largeur du moyeu côté disque : 17.60\n" ] } ], "source": [ "# 32 trous\n", "n_r=32\n", "\n", "K=142\n", "K_a=35.4\n", "K_b=53.4\n", "D1_a=58\n", "D1_b=49\n", "\n", "n_ca=2\n", "n_cb=2\n", "\n", "d_ff=K-K_a-K_b\n", "ec_a=K/2-K_a\n", "print('largeur du moyeu côté disque : %.2f' %ec_a)\n", "ec_b=K/2-K_b\n", "print('largeur du moyeu côté disque : %.2f' %ec_b)\n", "d_tr=2.6\n", "\n", "radius=D_iR/2/1000" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "hideCode": true, "hidePrompt": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "longueur des rayons de queue côté cassette : 256 mm\n", "longueur des rayons de queue côté disque : 255 mm\n", "longueur des rayons de tête côté cassette : 256 mm\n", "longueur des rayons de tête côté disque : 255 mm\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Sur la jante\n", "theta=np.arange(n_r)*2*np.pi/n_r\n", "x =radius*np.cos(theta)\n", "y =radius*np.sin(theta)\n", "\n", "# Sur le moyeu côté cassette\n", "r_ib=D1_b/2/1000\n", "theta_ib=(np.arange(int(n_r/2)))*2*np.pi/(n_r/2)-2*(4-n_cb)*(2*np.pi/(n_r/2))/2\n", "x_ib =r_ib*np.cos(theta_ib)\n", "y_ib =r_ib*np.sin(theta_ib)\n", "\n", "# Sur le moyeux coté disque\n", "r_ia=D1_a/2/1000\n", "theta_ia=theta_ib+(2*np.pi/(n_r/2))/2\n", "x_ia =r_ia*np.cos(theta_ia)\n", "y_ia =r_ia*np.sin(theta_ia)\n", "\n", "#fig, ax = plt.subplots()\n", "fig = plt.figure(figsize=(8, 8))\n", "ax = fig.add_subplot(1, 1, 1, aspect=1)\n", "\n", "# Jante\n", "circle = Circle((0, 0), radius, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "# Flasque côté cassette\n", "circle = Circle((0, 0), r_ib, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "# Flasque côté disque\n", "circle = Circle((0, 0), r_ia, clip_on=False, zorder=10, linewidth=1,edgecolor='gray', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "\n", "imax=int(n_r/4)\n", "#Placage des rayons de queue côté cassette\n", "#imax=3\n", "for i in np.arange(imax) :\n", " i_j=(i*4)%len(x) #index du trou sur la jante\n", " i_f=(i*2+4)%len(x_ib) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ib[i_f]]\n", " y_r=[y[i_j],y_ib[i_f]]\n", " z_r=[0,ec_b/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rbq=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='o',color='red', markerfacecolor='w',markeredgecolor='r',markersize=4)\n", "print('longueur des rayons de queue côté cassette : %i mm' %l_rbq)\n", "\n", "\n", "# placage des rayons de queue côté disque\n", "#imax=int(n_r/4)\n", "for i in np.arange(imax) :\n", " i_j=(i*4-1)%len(x) #index du trou sur la jante\n", " i_f=(i*2+3)%len(x_ia) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ia[i_f]]\n", " y_r=[y[i_j],y_ia[i_f]]\n", " z_r=[0,ec_a/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_raq=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='o',color='orange', markerfacecolor='w',markeredgecolor='orange',markersize=4)\n", "print('longueur des rayons de queue côté disque : %i mm' %l_raq)\n", "\n", "#Placage des rayons de tête côté cassette\n", "#imax=1\n", "for i in np.arange(imax) :\n", " i_j=(2*(2*(i+n_cb)-5))%len(x) #index du trou sur la jante en prenant en compte le nombre de croisement\n", " i_f=(i*2-1)%len(x_ib) # index du trou sur le flasque\n", " x_r=[x[i_j],x_ib[i_f]]\n", " y_r=[y[i_j],y_ib[i_f]]\n", " z_r=[0,ec_b/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rbt=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='+',color='blue', markerfacecolor='w',markeredgecolor='b',markersize=4)\n", "print('longueur des rayons de tête côté cassette : %i mm' %l_rbt)\n", "\n", "#Placage des rayons de tête côté disque\n", "#imax=3\n", "for i in np.arange(imax) :\n", " i_j=((i+(n_cb-3))*4+1)%len(x)\n", " i_f=(i*2-2)%len(x_ia)\n", " x_r=[x[i_j],x_ia[i_f]]\n", " y_r=[y[i_j],y_ia[i_f]]\n", " z_r=[0,ec_a/1000]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", " l_rat=np.linalg.norm(vec_r)*1000\n", " ax.plot(x_r,y_r,linewidth=1,marker='+',color='green', markerfacecolor='w',markeredgecolor='green',markersize=4)\n", "print('longueur des rayons de tête côté disque : %i mm' %l_rat)\n", "\n", "\n", "ax.set_axis_off()\n", "ax.set_xlim(-radius, radius)\n", "ax.set_ylim(-radius, radius)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "On retrouve bien les résultats du [Calculateur de rayons DT Swiss](https://spokes-calculator.dtswiss.com/fr/calculator)." ] }, { "cell_type": "markdown", "metadata": { "hideCode": false, "hidePrompt": false }, "source": [ "# Bilan Roues VTT 27.5\n", "\n", "On a monté les deux roues avec 2 croisements de chaque côté et on a utilisé les rayons de 258 mm côté disque et les rayons de 261 mm côté cassette.\n", "\n", "La roue arrière a été montée sans problème\n", "\n", "Beaucoup de difficultées à monter les rayons de tête côté cassette, surtout avec les écrous de rayons double squar : changement pour des écrous de rayons classiques pour lesquels le filetage commence plus tôt" ] } ], "metadata": { "hide_code_all_hidden": false, "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.4" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 4 }