{ "cells": [ { "cell_type": "markdown", "metadata": { "hideCode": true, "hidePrompt": true }, "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" ] }, { "cell_type": "markdown", "metadata": { "hideCode": true, "hidePrompt": true }, "source": [ "## Gravel Agathe\n", "### Mesures 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": true }, "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": [ "#!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", "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": "markdown", "metadata": { "hideCode": true, "hidePrompt": true }, "source": [ "### Mesures roues arrière Gravel Agathe" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "hideCode": true, "hidePrompt": true }, "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": "markdown", "metadata": { "hideCode": true, "hidePrompt": true }, "source": [ "## 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": 3, "metadata": { "hideCode": true, "hidePrompt": true }, "outputs": [], "source": [ "D_iR=545\n", "th_r=1.8" ] }, { "cell_type": "markdown", "metadata": { "hideCode": true, "hidePrompt": true }, "source": [ "### Roue Avant VTT 27.5 Agathe" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "hideCode": true, "hidePrompt": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "23.3\n", "35.2\n", "Longueur des rayons de roue avant côté disque = 256.99 mm\n", "Longueur des rayons de roue avant côté casssette = 261.95 mm\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(ec_a)\n", "ec_b=K/2-K_b\n", "print(ec_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": "markdown", "metadata": { "hideCode": true, "hidePrompt": true }, "source": [ "### Roue Arrière VTT 27.5 Agathe" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "hideCode": true, "hidePrompt": true, "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Longueur des rayons de roue avant côté disque = 265.67 mm\n", "Longueur des rayons de roue avant côté casssette = 265.18 mm\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=3\n", "n_cb=3\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": "markdown", "metadata": { "hideCode": true, "hidePrompt": true }, "source": [ "# Montage des roues\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" ] }, { "cell_type": "markdown", "metadata": { "hideCode": true, "hidePrompt": true }, "source": [ "## Rayonnage de la roue arrière" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "hideCode": true, "hidePrompt": true }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "from matplotlib.patches import Circle\n", "from matplotlib.patheffects import withStroke\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", "radius=D_iR/2/1000\n", "#circle = Circle((0, 0), radius, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='white',path_effects=[withStroke(linewidth=5, foreground='w')])\n", "circle = Circle((0, 0), radius, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "r_int=D1_b/2/1000\n", "circle = Circle((0, 0), r_int, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "# Trous de rayons\n", "# nombre de rayon\n", "n_r = 32\n", "theta=np.arange(n_r)*2*np.pi/n_r\n", "x =radius*np.cos(theta)\n", "y =radius*np.sin(theta)\n", "ax.plot(x, y, linewidth=0, marker='o', markerfacecolor='w', markeredgecolor='r')\n", "\n", "#ax.set_axis_off()\n", "ax.set_xlim(-radius, radius)\n", "ax.set_ylim(-radius, radius)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "hideCode": true, "hidePrompt": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# 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)\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=(np.arange(int(n_r/2)))*2*np.pi/(n_r/2)+(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", "radius=D_iR/2/1000\n", "#circle = Circle((0, 0), radius, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='white',path_effects=[withStroke(linewidth=5, foreground='w')])\n", "circle = Circle((0, 0), radius, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='None')\n", "ax.add_artist(circle)\n", "\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", "circle = Circle((0, 0), r_ia, clip_on=False, zorder=10, linewidth=1,edgecolor='gray', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "# Trous de rayons\n", "# nombre de rayon\n", "n_r = 32\n", "theta=np.arange(n_r)*2*np.pi/n_r\n", "x =radius*np.cos(theta)\n", "y =radius*np.sin(theta)\n", "ax.plot(x, y, linewidth=0, marker='o', markerfacecolor='w', markeredgecolor='r')\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": true, "hidePrompt": true }, "source": [ "Plaçage du rayon maître" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "hideCode": true, "hidePrompt": true }, "outputs": [], "source": [ "x_r1=[x[0],x_ib[0]]\n", "y_r1=[y[0],y_ib[0]]\n", "\n", "x_r2=[x[4],x_ib[2]]\n", "y_r2=[y[4],y_ib[2]]" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "hideCode": true, "hidePrompt": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "longueur des rayons de queue côté cassette : 273 mm\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#fig, ax = plt.subplots()\n", "fig = plt.figure(figsize=(8, 8))\n", "ax = fig.add_subplot(1, 1, 1, aspect=1)\n", "\n", "radius=D_iR/2/1000\n", "#circle = Circle((0, 0), radius, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='white',path_effects=[withStroke(linewidth=5, foreground='w')])\n", "circle = Circle((0, 0), radius, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "r_int=D1_b/2/1000\n", "circle = Circle((0, 0), r_int, clip_on=False, zorder=10, linewidth=1,edgecolor='black', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "# Trous de rayons sur la jante\n", "# nombre de rayon\n", "n_r = 32\n", "theta=np.arange(n_r)*2*np.pi/n_r\n", "x =radius*np.cos(theta)\n", "y =radius*np.sin(theta)\n", "#ax.plot(x, y, linewidth=0, marker='o', markerfacecolor='w', markeredgecolor='r')\n", "\n", "\n", "# placage des rayons de queue de droite\n", "imax=int(n_r/4)\n", "for i in np.arange(imax) :\n", " x_r=[x[i*4],x_ib[(i*2+4)%len(x_ib)]]\n", " y_r=[y[i*4],y_ib[(i*2+4)%len(y_ib)]]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0]]\n", " d_r=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' %d_r)\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": true, "hidePrompt": true }, "source": [ "tableaux de correspondance\n", "\n", "On regarde à quel trou de jante correspond chaque rayon pour la première partie des rayons de queue de droite\n", "\n", "sur le flasque de cassette, il y a n_r/2 trous\n", "\n", "idée pour la suite : faire un gif avec les images générées par la boucle for ci dessus [idee](http://www.xavierdupre.fr/blog/2013-05-25_nojs.html)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "hideCode": true, "hidePrompt": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#fig, ax = plt.subplots()\n", "fig = plt.figure(figsize=(8, 8))\n", "ax = fig.add_subplot(1, 1, 1, aspect=1)\n", "\n", "\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", "circle = Circle((0, 0), r_ia, clip_on=False, zorder=10, linewidth=1,edgecolor='gray', facecolor='None')\n", "ax.add_artist(circle)\n", "\n", "# Trous de rayons sur les flasques\n", "ax.plot(x_ib, y_ib, linewidth=0, marker='o', markerfacecolor='None', markeredgecolor='r')\n", "ax.plot(x_ia, y_ia, linewidth=0, marker='+', markerfacecolor='None', markeredgecolor='b')\n", "\n", "#ax.set_axis_off()\n", "ax.set_xlim(-r_ia, r_ia)\n", "ax.set_ylim(-r_ia, r_ia)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "hideCode": true, "hidePrompt": true }, "source": [ "Plaçage des rayons de queue côté disque\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "hideCode": true, "hidePrompt": true, "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "longueur des rayons de queue côté cassette : 273 mm\n", "longueur des rayons de queue côté disque : 274 mm\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#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", "#Placage du premier rayon de queue côté cassette\n", "imax=3\n", "for i in np.arange(imax) :\n", " x_r=[x[i*4],x_ib[(i*2+4)%len(x_ib)]]\n", " y_r=[y[i*4],y_ib[(i*2+4)%len(y_ib)]]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0]]\n", " d_r=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' %d_r)\n", "\n", "\n", "# placage des rayons de queue côté disque\n", "imax=int(n_r/4)\n", "for i in np.arange(imax) :\n", " x_r=[x[(i*4+1)%len(x)],x_ia[(i*2+4)%len(x_ia)]]\n", " y_r=[y[(i*4+1)%len(y)],y_ia[(i*2+4)%len(y_ia)]]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0]]\n", " d_r=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' %d_r)\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": true, "hidePrompt": true }, "source": [ "Plaçage des rayons de tête côté cassette" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "hideCode": true, "hidePrompt": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#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", "#Placage du premier rayon de queue côté cassette\n", "imax=int(n_r/4)\n", "for i in np.arange(imax) :\n", " x_r=[x[i*4],x_ib[(i*2+4)%len(x_ib)]]\n", " y_r=[y[i*4],y_ib[(i*2+4)%len(y_ib)]]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0]]\n", " d_r=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' %d_r)\n", "\n", "\n", "# placage des rayons de queue côté disque\n", "#imax=int(n_r/4)\n", "for i in np.arange(imax) :\n", " x_r=[x[(i*4+1)%len(x)],x_ia[(i*2+4)%len(x_ia)]]\n", " y_r=[y[(i*4+1)%len(y)],y_ia[(i*2+4)%len(y_ia)]]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0]]\n", " d_r=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' %d_r)\n", "\n", "#Placage des rayons de tête côté cassette\n", "#imax=3\n", "for i in np.arange(imax) :\n", " x_r=[x[i*4-1],x_ib[(i*2-3)%len(x_ib)]]\n", " y_r=[y[i*4-1],y_ib[(i*2-3)%len(y_ib)]]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0]]\n", " d_r=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' %d_r)\n", "\n", "#Placage des rayons de tête côté disque\n", "#imax=3\n", "for i in np.arange(imax) :\n", " x_r=[x[i*4-2],x_ia[(i*2-3)%len(x_ia)]]\n", " y_r=[y[i*4-2],y_ia[(i*2-3)%len(y_ia)]]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0]]\n", " d_r=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' %d_r)\n", "\n", "\n", "ax.set_axis_off()\n", "#ax.set_xlim(-radius, radius)\n", "#ax.set_ylim(-radius, radius)\n", "ax.margins(x=-0.4, y=-0.4) \n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "hideCode": true, "hidePrompt": true }, "source": [ "![roue_rayonnee](http://mgagnon.net/velo/images-tech/roue_montage36.gif) " ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "hideCode": true, "hidePrompt": true, "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "longueur des rayons de queue côté cassette : 273 mm\n", "longueur des rayons de queue côté disque : 274 mm\n", "longueur des rayons de tête côté cassette : 259 mm\n", "longueur des rayons de tête côté disque : 248 mm\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#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", "#Placage du premier rayon de queue côté cassette\n", "imax=int(n_r/4)\n", "for i in np.arange(imax) :\n", " x_r=[x[i*4],x_ib[(i*2+4)%len(x_ib)]]\n", " y_r=[y[i*4],y_ib[(i*2+4)%len(y_ib)]]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0]]\n", " d_r=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' %d_r)\n", "\n", "\n", "# placage des rayons de queue côté disque\n", "#imax=int(n_r/4)\n", "for i in np.arange(imax) :\n", " x_r=[x[(i*4+1)%len(x)],x_ia[(i*2+4)%len(x_ia)]]\n", " y_r=[y[(i*4+1)%len(y)],y_ia[(i*2+4)%len(y_ia)]]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0]]\n", " d_r=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' %d_r)\n", "\n", "#Placage des rayons de tête côté cassette\n", "imax=3\n", "for i in np.arange(imax) :\n", " x_r=[x[i*4-1],x_ib[(i*2-3)%len(x_ib)]]\n", " y_r=[y[i*4-1],y_ib[(i*2-3)%len(y_ib)]]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0]]\n", " d_r=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' %d_r)\n", "\n", "#Placage des rayons de tête côté disque\n", "imax=3\n", "for i in np.arange(imax) :\n", " x_r=[x[i*4-2],x_ia[(i*2-3)%len(x_ia)]]\n", " y_r=[y[i*4-2],y_ia[(i*2-3)%len(y_ia)]]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0]]\n", " d_r=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' %d_r)\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": true, "hidePrompt": true }, "source": [ "Ce calcul de longeur de rayon ne prend pas 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", "### Calcul des longueurs de rayons :\n", "\n", "#### Rayon de queue côté cassette :" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "hideCode": true, "hidePrompt": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "longueur des rayons de queue côté cassette : 274 mm\n", "longueur des rayons de queue côté disque : 281 mm\n", "longueur des rayons de tête côté cassette : 260 mm\n", "longueur des rayons de tête côté disque : 249 mm\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=3\n", "n_cb=3\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", "x_r=[x[0],x_ib[(4)%len(x_ib)]]\n", "y_r=[y[0],y_ib[(4)%len(y_ib)]]\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", "d_r=np.linalg.norm(vec_r)*1000\n", "print('longueur des rayons de queue côté cassette : %i mm' %d_r)\n", "x_r=[x[0],x_ia[(4)%len(x_ia)]]\n", "y_r=[y[0],y_ia[(4)%len(y_ia)]]\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", "d_r=np.linalg.norm(vec_r)*1000\n", "print('longueur des rayons de queue côté disque : %i mm' %d_r)\n", "i=0\n", "x_r=[x[i*4-1],x_ib[(i*2-3)%len(x_ib)]]\n", "y_r=[y[i*4-1],y_ib[(i*2-3)%len(y_ib)]]\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", "d_r=np.linalg.norm(vec_r)*1000\n", "print('longueur des rayons de tête côté cassette : %i mm' %d_r)\n", "i=0\n", "x_r=[x[i*4-2],x_ia[(i*2-3)%len(x_ia)]]\n", "y_r=[y[i*4-2],y_ia[(i*2-3)%len(y_ia)]]\n", "vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0],z_r[1]-z_r[0]]\n", "d_r=np.linalg.norm(vec_r)*1000\n", "print('longueur des rayons de tête côté disque : %i mm' %d_r)" ] }, { "cell_type": "markdown", "metadata": { "hideCode": true, "hidePrompt": true }, "source": [ "## Rayonnage de la roue avant" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "hideCode": true, "hidePrompt": true }, "outputs": [], "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=3\n", "\n", "d_ff=K-K_a-K_b\n", "ec_a=K/2-K_a\n", "print(ec_a)\n", "ec_b=K/2-K_b\n", "print(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*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)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "hideCode": true, "hidePrompt": true }, "outputs": [], "source": [ "#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", "#Placage des rayons de queue côté cassette\n", "imax=int(n_r/4)\n", "for i in np.arange(imax) :\n", " x_r=[x[i*4],x_ib[(i*2+4)%len(x_ib)]]\n", " y_r=[y[i*4],y_ib[(i*2+4)%len(y_ib)]]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0]]\n", " d_r=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' %d_r)\n", "\n", "\n", "# placage des rayons de queue côté disque\n", "#imax=int(n_r/4)\n", "for i in np.arange(imax) :\n", " x_r=[x[(i*4+1)%len(x)],x_ia[(i*2+3)%len(x_ia)]]\n", " y_r=[y[(i*4+1)%len(y)],y_ia[(i*2+3)%len(y_ia)]]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0]]\n", " d_r=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' %d_r)\n", "\n", "#Placage des rayons de tête côté cassette\n", "#imax=3\n", "for i in np.arange(imax) :\n", " x_r=[x[i*4-1],x_ib[(i*2-(n_cb))%len(x_ib)]]\n", " y_r=[y[i*4-1],y_ib[(i*2-(n_cb))%len(y_ib)]]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0]]\n", " d_r=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' %d_r)\n", "\n", "#Placage des rayons de tête côté disque\n", "#imax=3\n", "for i in np.arange(imax) :\n", " x_r=[x[i*4-2],x_ia[(i*2-4)%len(x_ia)]]\n", " y_r=[y[i*4-2],y_ia[(i*2-4)%len(y_ia)]]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0]]\n", " d_r=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' %d_r)\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": true, "hidePrompt": true }, "source": [ "Ce calcul de longeur de rayon ne prend pas 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", "### Calcul des longueurs de rayons :\n", "\n", "#### Rayon de queue côté cassette :" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "hideCode": true, "hidePrompt": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "longueur des rayons de queue côté cassette : 275 mm\n" ] } ], "source": [ "x_r=[x[0],x_ib[(4)%len(x_ib)]]\n", "y_r=[y[0],y_ib[(4)%len(y_ib)]]\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", "print('longueur des rayons de queue côté cassette : %i mm' %l_rbq)" ] }, { "cell_type": "markdown", "metadata": { "hideCode": true, "hidePrompt": true }, "source": [ "#### Rayon de queue côté disque :" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "hideCode": true, "hidePrompt": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "longueur des rayons de queue côté disque : 263 mm\n" ] } ], "source": [ "i=0\n", "x_r=[x[(i*4+1)%len(x)],x_ia[(i*2+3)%len(x_ia)]]\n", "y_r=[y[(i*4+1)%len(y)],y_ia[(i*2+3)%len(y_ia)]]\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_raq=np.linalg.norm(vec_r)*1000\n", "print('longueur des rayons de queue côté disque : %i mm' %l_raq)" ] }, { "cell_type": "markdown", "metadata": { "hideCode": true, "hidePrompt": true }, "source": [ "#### Rayon de tête côté cassette :" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "hideCode": true, "hidePrompt": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "longueur des rayons de tête côté cassette : 270 mm\n" ] } ], "source": [ "i=0\n", "x_r=[x[i*4-1],x_ib[(i*2-3)%len(x_ib)]]\n", "y_r=[y[i*4-1],y_ib[(i*2-3)%len(y_ib)]]\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", "print('longueur des rayons de tête côté cassette : %i mm' %l_rbt)" ] }, { "cell_type": "markdown", "metadata": { "hideCode": true, "hidePrompt": true }, "source": [ "#### Rayon de tête côté disque :" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "hideCode": true, "hidePrompt": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "longueur des rayons de tête côté disque : 269 mm\n" ] } ], "source": [ "i=0\n", "x_r=[x[i*4-2],x_ia[(i*2-4)%len(x_ia)]]\n", "y_r=[y[i*4-2],y_ia[(i*2-4)%len(y_ia)]]\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", "print('longueur des rayons de tête côté disque : %i mm' %l_rat)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "hideCode": true, "hidePrompt": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "longueur des rayons de queue côté cassette : 273 mm\n", "longueur des rayons de queue côté disque : 261 mm\n", "longueur des rayons de tête côté cassette : 268 mm\n", "longueur des rayons de tête côté disque : 267 mm\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#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", "#Placage du premier rayon de queue côté cassette\n", "imax=int(n_r/4)\n", "for i in np.arange(imax) :\n", " x_r=[x[i*4],x_ib[(i*2+4)%len(x_ib)]]\n", " y_r=[y[i*4],y_ib[(i*2+4)%len(y_ib)]]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0]]\n", " d_r=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' %d_r)\n", "\n", "\n", "# placage des rayons de queue côté disque\n", "#imax=int(n_r/4)\n", "for i in np.arange(imax) :\n", " x_r=[x[(i*4+1)%len(x)],x_ia[(i*2+3)%len(x_ia)]]\n", " y_r=[y[(i*4+1)%len(y)],y_ia[(i*2+3)%len(y_ia)]]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0]]\n", " d_r=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' %d_r)\n", "\n", "#Placage des rayons de tête côté cassette\n", "#imax=3\n", "for i in np.arange(imax) :\n", " x_r=[x[i*4-1],x_ib[(i*2-3)%len(x_ib)]]\n", " y_r=[y[i*4-1],y_ib[(i*2-3)%len(y_ib)]]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0]]\n", " d_r=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' %d_r)\n", "\n", "#Placage des rayons de tête côté disque\n", "#imax=3\n", "for i in np.arange(imax) :\n", " x_r=[x[i*4-2],x_ia[(i*2-4)%len(x_ia)]]\n", " y_r=[y[i*4-2],y_ia[(i*2-4)%len(y_ia)]]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0]]\n", " d_r=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' %d_r)\n", "\n", "\n", "ax.set_axis_off()\n", "#ax.set_xlim(-radius, radius)\n", "#ax.set_ylim(-radius, radius)\n", "ax.margins(x=-0.4, y=-0.4)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "hideCode": true, "hidePrompt": true }, "source": [ "### 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\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": "code", "execution_count": 22, "metadata": { "hideCode": true, "hidePrompt": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "35.6\n", "17.6\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=3\n", "n_cb=3\n", "\n", "d_ff=K-K_a-K_b\n", "ec_a=K/2-K_a\n", "print(ec_a)\n", "ec_b=K/2-K_b\n", "print(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*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)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "hideCode": true, "hidePrompt": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "longueur des rayons de queue côté cassette : 268 mm\n", "longueur des rayons de queue côté disque : 257 mm\n", "longueur des rayons de tête côté cassette : 264 mm\n", "longueur des rayons de tête côté disque : 262 mm\n" ] }, { "data": { "image/png": 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ec+1iZmPMbFfgeOBBSXvJ52WXZETpkLsIkvris4r3A9YwsyvrXcOMHyioyMsC+xfwEPDHDLbPS9i6KA45dydk8qyurmpj/HM9lIqNrfflZnYtsCowHLhR0vQxW1hSI6VD7gJIWgJ4EfgOWNHM3ujoWgUXeR0D7B+FH9MkL8KuojjkXJU8KdTUwDp4+9h8UdUiwOXAFlTs044uE7XDXRn4HHhJyryhTpekdMgNjqShwMPACDPby6z+O+jJKarIywL7ALia9AdPjKQ8IddD3kRdawKvWmBfZ23IJFQ1PXAbcAQVe6azy5nZT2a2H57euV9SVpUJXZbSITcoUb74WFyEtWEUloqTJpHXOTGvmzQnAdso1AIp7vkp5Qm5HvIWss5s9nGrVNUduA64j4pdFufSZnYjsD5whqTjpcxq+Lsc5X90AyKpD3ADLkRZwcxeiHuPZiKvVSX2iHv9pLDAvgL+grfVTIsyZF0jUVOQWclJU5Bm3bnyVu50MtALODiJxc3sX8AKeHnU36VcVAk0PKVDbjAkzYUPTh8LDExyKEQzkdcJBRN5nQWsoVDLp7RfKeqqndnIV1OQxQEDXs/akN+oqoI3utmSSnIzmc3sCzx3/g3wtJSLcaYNTemQGwhJqwH/xPOkO5nZT0nvacY7FEzkZYGNwUs9TotOQEmT/QnZ+xdPjQv78kyuBF1EzUBy052rquWAvwKbUkl+4pSZ/YzX7/8NeEbSwKT37MqUDrlBkLQbcAuwi5mdmebc4oKKvC7FL/7rpbDXZ8DsUfOGrJgV+LIAbTPzJujKT7lTVbMC/wD2oGKvprVt1N3rHGA74AZJe6W1d1ejdMgFR1I3SacDhwKrm1lWg9MLJfKywH4FjiKNwRNeGzoGmCnRfdqmCOFqyNEJWaH6A4sBj2VtC1VNBfwduIyK3ZKFCWb2IF6vvK+ks0uxV/yU/6EFRlJP4EpgFWBlM3srK1sKKvL6Oz69Z+sU9so6bO0n5PyTpxPyhsCDFtjPmVrhkZVzga/wVEtmmNm7uFNeCrhOUlEiYoWgdMgFJWoIfwcwPT4c4tuMTZpc5LVq1va0R5QXPAwfPJH0hSUPDrkIJ+Q8lTzlZZjEXnjTjh2o2ISsjTGz74ANgB7A3VEXwJIYKB1yAZE0C97s41NgqJn9mLFJv9FM5HVjEUReFthjuIJ2z4S3ylppXRSHnIs+1tFksHXJujtXVQPxiWybUrHczLGOBKNbAu8Aj0qpd79rSEqHXDAkzYOXNT0I7GZm4zI1qAUKKPI6EjhKofoluEd5Qq6NvJyQ1wTesMCyC/NXNQ/e/GNbKvZeZna0gpmNx0/vtwFPSZo/Y5MKT+mQC4SkJXFnfJ6ZHZWmkroDFEbkZYH9G7gXOCTBbUqH3A45awqSbTOQqvrgju5UKvZgZna0Q6TADoEzgCckLZu1TUWmdMgFQdIa+Kn4YDPL/UziAoq8jgP2VqikxiSWIev2yUVTkKg2Pbt2mS7iugJ4iYLMHzezC4F9gXslrZO1PUWldMgFQNImwM1AxcxuyNqeWimSyMsC+y8+Nee4hLYoT8jtk5dw9QCgO5Bare9kHIXn0veqdbZxHjCzW/AOYtdJ2iJre4pI6ZBzjqTNgIuBjaM6wEIRibx2ohgir1OAYQq1UAJrlw65fXIh6CI6HWfSnauqTfC87GZUku+0Fzdm9hg+mOJcSWmUEzYUpUPOMdH4s/PxaU3PZ21PRzHjbvznyLXIywL7Bs+FnZzA8l8AM1NVjwTWbhupFzAd3pM4z+TlhJxNuVNViwKX4M44D3n0DmFmL+Md8M6StG3W9hSJ0iHnDWk++vV7rdqt2/iZpeoO3grzpazNioGT8VNi3kVeZwMrKdRKsa5asXHA1/hJNW36A19j2dewtkPmXboUamZgCeDRVDeuakZcxHUIFXsu1b0TwMxeBdbtDmee37v3J/ToMY5+/V5Dmi9r2/JM6ZDzRt++d1Q32mjAwf37d3to//27Xdm37+lZmxQHZhgeus61yMsC+xEYQTKDJ0aSjbCrCOFqyEeXrg2Bhy1IMVzsUZPrgTuo2FWp7ZswZvbai336/Hhyr15zXHHeed05+uhF6Ns3D41WckvpkHPG9T/8sMjBjzyiBx58kCVPPrkbY8YsnLVNcVEgkdcV+Klyw5jX/ZRs8shFcshZh6yzGCZxKiC8a1zjIC271E8/zfPgo49y9PHHc81MMzXU9SwJSoecIyRtvh9MuHebbSYsPt98cPbZxjTTZN4SM06KIPKywMbhzUJOVajuMS6dlbCrKA45U1FX1J1rfeCu1Datanv8JnWrKK3RGEibA/cxzTQfL/LAAxMeuP12DjvoIC7p2TOx+eyNQOmQc4KkIcB5G5oNWeqyy96kb9/xnHLK2/zww69IW2ZtX5wUROR1G/ADEKcoJata5Nw75Jw0BVkNeMcC+zyV3apaAfgz3hazMW68JSEdA5wFbMAPPwzkpJPeXHTFFcffMWHCe3v+9NNUarDrWZyUDjkHSFoPHwC+8VVmdzFq1GKMG9eDUaMWATYCzkX6fbZWxk6TyOtciSznBLdIVPJyOHCCQk0d07LlCbl18tAUJD11dVWz49PGdqdir6WyZ9JIvYFr8P/HFTF7CbP3m65ny40evcB4V1+fI2mjbI3NJ6VDzhhJywNVYHMze3GKJ5i9AgwH/oGUZaenWGkm8loF8inyssCeBF4G9olpydIht06m+eNm3bmSd8g+2/gW4G9U7LbE90sDaTbgEdynDMSsxdC0+fVsU+BKKeZKhgagdMgZImlB/AKwu5k90eoTzW7F56HehjRNSuYlTjOR1/E5FnkdBRyhUNPHsFYZsm6drEueFgamAl5JdBdvi3kB/l44KdG90kJaGngWz71XMBvb1tPN7J/4zfitkgYkb2BxKB1yRkiaHbgPOM7c4bbHafiYwCuRGub3lneRlwX2GnA7Hr7uLOUJuXWyLnlKqzvXvsBywE55mG3caVz78gBwCGYnUOPAGzO7C/9M3SPpd0maWCQa5sJeJCT1A+4BLjOzi2t6kb/Rd8cv6EFy1qVPAUReI4A9FHY6ZfAtMA1V9e68SXVRFIec5Qk5+XKnqtYBjgaGULHRie6VNC7eOhJv9LMhZjfVu4SZXYl/7u+VNEPcJhaR0iGnjKSpgVvxMYr1hazMfgaGAjsibRO/dZmSW5GXBfYx3k98RKcW8kEB6Z6SpR7ADHiXsDyTWcmTQs0ILAM8nNgmVc0HXAtsQ8U+SGyfNPBr2FXAZsBKmL3QidVOx0/Yt0up36jmjtIhp4ik7sDV+MXxgA7NMzb7EtgEOBtpxXgtzI4CiLxOBYYo7HTOK+2w9SzAt1jua1yzPCH/AXjUgrZznx2mqmnxMroTqdgjieyRFtKs+I3LVMCamH3ameWia+DB+M3Y9VIGvd5zROmQU0KS8D7JMwHbmdn4Di9m9m9gV+AWpDnjsTB78izyssD+h+fxOzt4Im2HXIRwNWQr6kpOXV1VN/w0+SxwXiJ7pIW0JP5z3A9sjdmPcSxr3mN9J6A3cEF0reySlA45PQ4GVgWGmoeeO4fZ7cBfcOV1n06vlxMikdeOuMgrb2Ve5wLLKdQqnVgjbaV17h1ylk1BFKonsAHJdec6Fv/Z9inSbOMp8JnsDwJHYDYi7kElZvYLsDmeOjgqzrWLROmQU0DShsAfgU3MbFSMS5+Bl2lc1WDK63vw00SuRF7RwIHjgD91YvBEeUKeklmBb8z4JYO9VwXetyCBcYdVDcUjWZtTieEmPAtcvHUYLr4ahNn1SW1lZj/gNcp7Sdo0qX3yTMNcxPOKpEWAK4FhZvZRrIt7/mVPfBDC8bGunT2n4KfJvIm8rgamx8OcHSHtiU9FcMhZ9rAeRBLh6qqWwLvvbUYlpVaccSNNBVwObI2LtxIfC2mek94cuETS4knvlzdKh5wgkZT/NuAIM3sqkU08/L0ZUKGBhoHnVeRlgY0HjgBOUdghAUraE5+K4JCzFHQNJu5yp6pmwispDqLSKQVydkizAA8B0wKrY5ba78fMnsUjirdJmimtffNA6ZATIlJUXwfca2aXJbqZ2Ve48vospJUT3StFcizyugv4BtihA68tQ9ZTkskJWaEWwh3OS7Et6rONbwBuoWLXxLZumvjJ9Dm8FeaWmI1J2wQzuxrv9X2TpJ5p758VpUNOjtOA7riYK3nM/gPsDPwdaa5U9kyBPIq8om5OhwGhwrprJz1kXU1NSVoEh5zVCXkQcFfM3bnOAH7FoyjFQxqElzUdjdmxcYu36uRI4CfgzAxtSJXSISeApB1xccJWlmb9p7ejOwO4HWna1PZNmDyKvCywf+KniP3qeqF3aPoV6JeAWS1ROuTWibfcqaqd8elsFSqdKGvMAhdvHQxcBAzGrJq1SVFp6DbAepKGZ21PGpQOOWaiCSZnAJuaZTLj9CzgBeCaRlJe4yKvT4DzciTyOgo4NOr0VA9phq2L4JBTD1lHw0KWw/OknaeqlfCo2KZU7H+xrJkWUi/gEmB7YGU8h5sLoqqUTYATJa2etT1J00gX7MyRjyC7GdjFzF7PxAhXXu+Nt0tsjGky/Cby2hlYmZyIvCywt/AxekfW+dJ0apFdxzAT8GXie3WOLE7IfwAetyCG5hZV/R/R556KvdHp9dJEmhlvXTkjsBpxV4LEgJm9jd8s3NjogyhKhxwTkYjrGnxgRDpDzltjYpH9lkgdER7lkpyKvEJgV4V15e3TOiHPBHyP2a8p7NUhJLoDs5F+U5B4hklUNTXwD+A8KpbscIq4kRbFO289BWyO5XfghZndhzfmubaR22uWDjk+jgB6kpd6YLOv8RzZGahTnaVyRd5EXlFDiQtwx1wraTnk/uQ/XD0bKTcFicrVNqSzDtmFeRcBH+C9zouDNyt6FBiB2VEZi7dq5VTgF7z7WUNSOuQYiHIb+wGVVEVc7eFh8x2Bm5HmztqcuMihyOtPwEYKtUSNz0+rfWZR8sdph6tXBj6yoNO1tQcCSwK7FqYtpou3DgQuBYbg5UWFIBJ5bQ/sLmntrO1JgtIhdxJ5DuZaYFfr5OSTRDC7Bxeb3IE0XdbmxEhuRF4W2KjInloHT6R1Qi6CQ/4d6dcgd15dXdV6eOnbECrp1+l2CBdvXQTsgou3ns7Yoroxs8/x+v+rJfXP2p64KR1yJ4imklwO3GhecpRXzgaeAaqR0KfwNOvktRLePjRrLgAWV6g1anhu6ZAnkoWgq3MOuaoFcL3IVlTsv3EZlSje8eo+PEWwKlYQu1vAzB4ErsCdckP5sIb6YTLgQDxPl+/pJK683hfvSnRKxtbEhhmjcZFXKLFaprYE9jOe2zqthsETZch6IqmWPCnUAngv8hc7tEBV0+HtcAMq9niMpiWHNAAXbz0HDMWHOBSdAOiDRykahtIhdxBJv8fLXbaORoflG1fabgEMRdo5a3Piwox38Tz5DTkQeVXxma5D23ne58Cs0azcJCmCQ077hNzUnat+EZP/vq4GnqBiF8ZtWCJIGwCPASdidjidmcOeIyKtzjbAQWog0WrpkDuApH54v9q9zeyDrO2pGbNv8HDdaTRQkX1eRF7RRb79wRMV+wX4DpglYZOK4JDTbgrSmXKnEXgp2f6xWZMULt7aDw/tbobZFdkaFD9m9jGwG3CdVHdznlxSOuSOcTZwv5ndnLUhdWP2JrAdcCPSvFmbEyN5EXndh4ekd2nneWmErYvgkFM7IStUP2BF4MG6X1zVFngkZvPohiq/+DCG8/EGOqtg9mTGFiVG1PPhH/jPW3hKh1wnkgYDqwOHZG1LhzG7H+/idQdS36zNiYO8iLyiQQWHA4FC9WnjqWkIu3LtkDNoCrI+8KQFdTbAqGpJXLQ3lIrlu+uZnxTvxSMPq1CkCF7HORJYRtJmWRvSWUqHXAfRfOML8NaYue1qUyPnAY8D1zWQ8rpJ5DUiS5GXBfY88CRwQBtP86lPSeEVAP3Jd9vMtJuC1K+urmpmXMS1HxWLb0xjEkgLA/8E/gVsitn3GVuUCmY2Fo9InReVoRaW0iHXQlXzcVO/17ZfTd/sNLBnb7uW3PV7rRtXXh8ATIU3tmgImom8bpTIsu/tMcAfFbZ6gfiUZE/IMwA/YvZTgntUd/lGAAAgAElEQVR0ljTD1d3x7ly1lydW1RO4Cbieil2fkGnxIK2L32CfhtkhjSLeqhUzewqoQvfzJEZkbU9HKR1yLfTse8ftXwxZ5MlP59bZpx0zPT37ZturOi5ceT0MGIy0W9bmxIUZ9wLnkKHIywJ7Bxf+tVYSl3TIOtfh6og0BV0rASMtqKv+9kzgR/zmKr9Ie+N10VtidmnW5mTHkxfBnJvCLUHWlnSU0iHXwLffjV5471Mf7HbZZZcz3bKHdGPcmEWytik2zP6Hh/JOQloza3Ni5FT8Yp+lyOsEYEeFmqeF7yUt6iqCQ06z5GkQ9YSrq9oNWI88zzaWeiCdC+yD54sfy9qkrJBYG1Z9Ca6ZCvZB+tqKeFIuHXINDL+02+hN15jbBq62Arx1zgS6T21UtW/UXL74mL0FbAvcgDR/1ubEQR5EXhbY5/iEmhNa+HZ5Qk7XIQ+m1nKnqlbB26BuSsVGJWlUh3E9y93A/Lgzfj9jizJBQhIH4T0ANjFbVVABZrnBrHTIDYekwbe/MG7UyRv85y1u6jue109+k3Fj1sFLCi6mqjwMN+g83o4uxJXX/bI2Jw5yIvL6M7CeQi092ddLh5xSyFqh5sVrvp9r98lVzYnnjXekYm8lbFrHkBbEW+G+BgzGcnrTkDASvfFGLTsAK5nxsH/n6JNw1fXm2VnXMUqH3AZNqupfx7Njvx2/H8A243owbNRiVOwxfGLMjMAjVDVbtpbGhNkFwEP4SbkhZo5mLfKywL7HS8wmb1n6FdAvwRu6IjjktE7Ig4C72+3OVVVvvKb1r1TsnhTsqh+fcvQkcCZmB5Gn6XIpIjE3Pse5G7CqGR82fc9sxmOAnYFzi6a6Lh1y25wE3GFmj07xnYqNxltR3gc8T1W/T9e0xDgIEHBG1obExWQir6kzMOEiYCGFzUbGVWwC7jCTupkrgkNOS9TVfrmTp58uBt4CTk/BpvqR9sBDs1tj9reszckKibXw8q5rgG3N+HHy55hPsroen3RXGEqH3AqSlgM2o63BERWbQMVCvJXe3VS1XUrmJYffcW8F/CG6ADQKpwIfkYHIywL7BTiaKQdPJBm2zrVDTqspiEJNh0ezHmjnqQcDA4Ddcjfb2MVbf8WH2ayG2SNZm5QFUb74QOA6YDszzoy0Iq0RAH+QtHI6Fnae0iG3QDTS6zzgKHMVcttU7B/A2kBIVadTLXijDbPv8FPF8UhrZW1OHEQf3J3x1olZiLxuxD9vWzT7WpJK61w7ZNwZf5tCU5D1gactaGPCUVV/AP6IzzYem7A99eF6jjuBRfAZxu9mbFEmRPniq/D000pmPNTea8wboxyGh64LcU0uHXLL7BT9eUXNr6jYq8AKwLLAXVQ1Q+xWpYnZO8DWeCevBbM2Jw6yFHlF+cvDgZMVqmf05S57Qsbzx2mEq9seJlHVQsCVwJZULM0hF+3jFQ/PAG8DG0c3yl2OZvni7kyWL66BKjAaGJ6AabFTOuTJiIRcJwP7mNU5oq1i3wAbAG8Cz1HVgPgtTBEPjQW48nr6rM2JgyxFXhbYg8AHwO7Rl5JxyN42c1by3TYzcUFX1J1rY1pzyFX1w9tiHkMlZwMYvCfAU8DZmO3fhcVb7eaL28ImzoIPiyDwKh3ylJwA3GJmHRtgXrFxVOxA3Kk/RlWD4jQudcwuwpvV39hAyussRV5HAMcq1LQkF7LuC4zDbEwCa8dFGoKu3wNfWtDCgAVPK10LPEzFLk7Yjvrwrnk3AttiBZm7HDMdyBe3ipm9ip+UJ690yB2lQ26GpGXwHF/nW+VV7HJgE+BCqjqq4E1EDgHGA2dlbUiMZCLyssBeAh7Bc5ZJhazzHq6GdEqe2lJXHw9Miwul8oHUHelM4FBgdczazZM2Ih3JF9dAAGwsacUY1kqM0iFHNBNyHWNm38ayaMX+iYuIhgDXU21zHF9+8XDZ1sA6Ud/cwtNM5LUCsFfK2x8DHHD19/xE13XIaZyQW3bIVW2Ft3MaRsV+TdiG2vAxqLcDSwIrYfZ2xhZlQifzxa1i3jzlCHwiVG4FXqVDnsgO+JvgslhXrdinwBrAz8CTVDV3rOunhb+hBwPHRZNlCk8k8hoKBGmKvCyw94Fr9vyS7UgmZF0Eh5zoCVmh5gZmB56d5BtVLYO3Mx1Kxb5Kav+6kObDxVsfAhtSS2VHA9LZfHENXA38BOR2kE7pkAFJffCc7751C7lqoWI/4eGXq4B/UtUase+RBmbv4TXK1yItlLU5cZChyOvEH40t3vmFHlQ1Xcxrd3mHzMTuXBMHQ1TVH+/EtTcVeznBvWtHWh0/EZ6P2T7RBLYuRZz54rZoJvA6Xh6RyB2lQ3YOAB43s+cT26FiRsXOwk/iN1FV2mHSePCJMkcBd0YN7gtPFiIvC+wr4K+Hfs144g9b59ohR01BZsdFbUkxablTVb2Am4FrqNhNCe5bO9LOuE07YHZe1uZkQUL54lYxs5fx7ooHJ7lPR+nyDlnSTLjA5thUNqzYA8CqwH5UdWF0oSgWPnP1DuAm9FtNbdHJQuR11pNj6RV+w8CY1821Q8btS6wpSKRgXw2/8DbxF+A74Lgk9qwLF2+djt/YrolZe13EGhKJufC+3LHmi2sgAPaVNGtK+9VMl3fIeKL/JvNGGOlQsXfxsYCzAw9Rzd8bowYOw/PiZ0d1r4UmC5GXBTZ6z368cun37Bvz0nl3yEkLutYFno0Ge0BVewADge2iHuLZIU0H3AosB6yI2ZuZ2pMREgPx/H6VZPLFrWJmH+B56qPT2rNWurRDljQnsAteApEuFfseFxQ9gjcRWTZ1GzqD2XhgG1ywtk/G1sRCs05egcTqaex51Iw8MWYCsynUejEum3eHnHT+eKK6uqrV8c/3ptFnLjukeYCn8XK3DYirmqNARPniA/DBD9ub8eck8sU1cBKwrVxQlxu6tEMGRgAXmdlnmezuwymOw/MZ91HV1pnY0VG8V+xg4Gik9bM2Jw7MeA/PZ92Qhshrmm58ctgMPIsPnojr89hlHXL0f+jduaqaC7gB2J5KihGwFg3TqriS+mJgzy4q3uqNtyndGVjZjAezssXMvsR1I+kfxtqgyzpkSQNwZ/KnrG2hYjfjYbZTqOqUQg2nMHsf2BK4GmmRrM2Jg0jkdTbpiLxGHjoDPwK/4gr2OMi7Q04yZL088K0tyGd4aPgMKnZ/QnvVhrQjru7eGbOzsZxNk0qBZvniHsAqZkzZPS19/gysK2mprA1poss6ZDxk8SfLS8P2ir2C5y9XAm6P+uwWA7Mn8MEJd+AiuUbgNNIReX3aTcyB//+dpLCTIj9pWvxz3fp0o+xJMmTdFK6+FPgPWXaXk7ohnYoLyQZidm9mtmRIlvnitjCzH/By15OztqWJLumQJa2E97nNV6mBNypYH3gfeJaqFs7YotoxuwI/BdyMCqgcn4wURV4jgf+zwB7Fh5J0djSkn47zfQpL8oQ86ML+9APmB/bIbLax3xjdgt9gr4jZ65nYkSE5yhe3xUXAolI+ekMo35/bZJD0EHCdmV2StS2tUtVu+J3bjlTsnqzNqQlvSXcr8BmwR86dQk1IzI8LcbYw44nYN6iqN/A/oLfeYUngfmDB3xTC9SKtApyFWW579kr8FxgYd9hSoebsCa+NWYAfeooVoi556SPNhZ/Snwf2xizpmc+5I8oXX4S3Ah2akxB1i0jaHtgDWN0yvmZ1uRNydDqeHxcX5JeKXYKrsC+lqsMKMZzCldcVYGVg/4ytiYXERV4VGwuMAWaywF7Ba2cP6cSKuc4fJ9kUZKle7DJ0Wnr1FFtk6IxXxts/XgHs3kWdcR7zxW1RxT83qVRWtEWXc8jAkcDpVgSVY8WewodTbAlcS1XTZGxR+3heZjBwBNKGWZsTB81EXrckJPJqPvXpWGAfhZqtg2vl2iGTVFOQqqafqTuH9u/O5VTsmVjXrhVpO3y+8u6YndUIEaJ6yWu+uC3MDxJ/wn1DpnQphyxpcdzBxTtAIkkq9jF+52bAE1Q1Z8YWtY/Zh/gYyyuRFs3Ymrg4DfgvcH4CIq/fHLIF9l/8dNXRjlJ5d8jxC7qq6v7deG58+id6njsqg4uqi7dOwkto1sLsrtRtyJiC5Ivb4ipgyWgEb2Z0KYeMK1n/amZjszakLjysuR3+Zn+WqlKbTNRhzJ7CQ693IM2ctTmdpZnI6/fEL/L6lEmnPp0MbKmwQwM88u6QkxB0nXzbGGb92XjagpSrJnwwzc14g5wVMXst1f1zQJ7qizuKmf0MnIl3bsyMLuOQJc0LbAScn7UtHcKHU5yOdxa7hap2z9qkdjG7CrgR+HuDKK+T6uTVPGSNBfYNXiN5YgfWyrtDjveEXFUFGLbPl7xsLc0+ThLv9Pck3iN7XSwn4xxTpFm+uCfFyBe3xd+AtSUtmJUBXcYh492w/hYNqi4uFbsXb5x/MFWdRzX3wx2OxlXEFzRIz+skRF6TOOSIvwKrKtQKda6Vd4cc3wm5quWAv46ZwJAxxnqk6ZClFXHx1rXArvgJq0vRLF98HX5kyH2+uC2iuuTz8T79mdAlHHI01aOCT3wpPhV7G8+Fzw08SFWzZGxR6/h86e3wZvoHZWxNLCQg8po8ZI0F9iPe2vU0hXXdyOTdIcdzQvaBLP8A9pj2PXoBP1iQUntMaRvc+e+J2RldTbwV5Yv3x1NoO5hxRsHyxW1xNrC5pDnafWYCdAmHjM87vs7M8nyhqo+KjQI2xYebP0dVS2dsUeuYjQY2AQ5B2jhrc2LiNOBD4hF5tXRCBrgcmA34Qx1rNb5Drmoq4O/AZVTsFnz2cfKnYxdvHY/n+NfBLN0QeQ6I8sVXALvi+eKGGh1pZt/g+fA/ZrF/wztkSf2A4cDpWdsSOxUbT8WOwoUID1DVsKxNahWzj4DNgctxtXuhiU4Eu+C9k/fu5HIjmeyEDGCBjcNLMU5TWEN/c6k3MBWe08wrnQtZez3+ucBXTBwMMHG6U1JI0+CDKtbBxVuvJrpfDonyxU8AvSh+vrgt/gzsrAzaADe8Q8bv5O4zL8VpTCp2A7ABcAZVnUg1tqlB8WL2DB62vh3lOMxeI5HIayhwXCdFXl8AM1FVjxa+dxswGk+5tEd/4Mu8hlCbNQUZ2Yll9sIbz+xAxSYo1BzAvHg3tWTw8OXjwI/A2vikoC5Fs3zx9Xi+eEy2FiWHmX2Cf+6Gp713Pi/cMSGpG/4BPjdrWxKnYi/hJTlrALdSVd+MLWoZs2vxpgG3IE2VtTmdJRaRV8XGAV/j4eZJ1w/M8HK9ExSqvXx13sPVTU1BOiaAqmogXp+9CRVrGp6xMXCvBQk1+pGWxx3RTcBOXU281eD54rY4F9hTSnfyXkM7ZHyk4WhcDdn4VOxL/Gf+FPgn1ezk++1wHB5yvLBBlNdxiLymEHb9tn5gTwD/pv3657w75I7nj6uaB1fzbkvF3m/2nUHAnZ01rEWkLYF7gH0xOy2vkYekaPR8cVuY2YvA53ipbGo0tkOelbOB87NuGJ4qFfuFiu2FO4gnqWqDrE2aAldebw8sTef6NueJzoq8WhN2NXEUcKTCNsdyFsEh158/rqoPHkI8lYo91PRlheoNDATiHWsoCSnAdSfrYnZrrOsXgC6UL26L84G9FWpEWhs2rEPWQK3K9yzMYtyUtS2ZULELgWHAFVR1cO6GU5iNwZXXByJtkrU5nSUGkVebDtkC+w9+Ejy8jTXy7pDnpN4Tsr9vrwBewm8ym7M28C8L7Ns4jAOahHHX4cr2FTF7Jba1C0JXyhe3w410YyW+JUhrw4Z0yAo1ggk8yZLAMP6nUK8p1PYKi9/CsS4q9jg+j3U74Kpo1F9+MPsYF0VdgrRk1uZ0lslEXvXOV201ZN2MANgjEjK1RN4dckdC1kdFr9uzhdnG8aqrpf8DHgPG4T2pP49t7QLQhfPFU6BQCzKCF1iJ6XkBFMrSOCk3pENmBCfzBF+wPOB1nGfgF8r3FOpJhTpCoRars+FCManYf4FV8dZ2j1HNpuC9Vcyew0c13o43cCk0kchrB+B6iXoGgbQXssYC+xi4BFq9Y8+7Q66v5KmqTYA9gc2oTCqmij678eWPpWVxrcmtwPaY/RTLugWhK+eLm6NQsynU+cAzwDV8wOK8DIxgGgtsRNL7N6ZDhs2A15iF0AL7wgK73ALbDC8LOQG/474bd9BnK9T6Couv+G2Viv0IbIN3NnqOqlbO2KJJMbsen7ZyC2pXSZx7zLgPb3359zpEXu065IhTgaEKtUgL38u7Q679hFzVovjNx+ZU7LMWnrE0MBZ4q9NWSVvgc6gPxOzkLije6vL5YoXqq1DHA6/h76uFLbBTbKS9Rh/exUfgJm9HI773JD0OnG1mN7f6HL/DXhy/yx4MLAo8hIfA7ragQWsNqxqEj588gorlZwyll6jdgH8Ydiz6RTESdt2Aq/x3bTf0V9USwHVUrN2mKQp1KLBydJPZfNM3gC3yOnFI4r/AwHYv+FXNiOcwT6BiV7W4VqjjgOktsI53VHKF/9F4vemmmP2rw2sVFIk18RD1n6FwIxM7jUL1AvbA3wf3A8dGI1AnPkcaDBxjZismbk/Br3tTIGkJXHU5j1nttYkKNQsucR8ErAe8gTvnO4FXo3rQxqCqAbhq9R7gECoJ1XDWi3dDehy4GbNTszans0hMizesuMiM89p8clUzAe9QsRnbXdfVxW8DW1pgzzTb8FtgIcy+7ozdSRA1BRkLTNdmHbI3R7kb+A+V1p2tQj0HHGGBPdxBg3oDlwLzA0OwFk/hDUt0w7gf7oi262ohaoXqBmyFT1R7CzjSgpYFfFEt8vvA5mb2QqJ2NaBD/jMw1syO6fAafte0JhNPz91xx3wH8KgFDZBfqmp6XE3aC9iSin2TsUWOd0V6Fq/9LHy5icT8uFMeZsbjrT7R1cRjgRmi+ddtrxtqZ3z+7JoWmEXjLccAU0VlZblCYnbgZbMpm59MQlVnAEsCG0UNU6ZcK9TswOtA/w41BJFmw3PFHwC7ULT56J0kyhdfiIf9h5rxfjsvaSgUaj28THEccLgF9ki7r5GOBWY1s32TtK2hcsjRncw2wDWdWccC+8UCe8ACOwC/g94Q+Ai/m/xCof6hULsq1GydNjorKvYdfsPxIvB8FDLNHrNP8ZnDF6McD8yokZpFXq4grjWPDJ5znxH/HYLrI77KozOOaF/QVdX2+O9+69acccRGwP0ddMbLAM8BdwGVLuiM58TzxVPh+eIu44wValmFuh84Dx8QsmItzjjiWmBLKdlxty31zi0yawEjzezNuBaMQtWvR4/TotKpP+An5zMU6m0mnp5fKVRou2LjgcOo6hXgYaraI5qeky1mLyDtA9yGtGLRy0/MuE/6TeS1hhmtRViaHPJ77a4Z2HiFOhI4VaHutqILuqpaAc9jrkWl3briwUCr+pBWkYbiQ+j3og19SaPSLF98JnSdkiaFmg8PTQ/EB5JcWu/NnJm9L+kdYH38Zi4RGs0hb0cnT8ftYYF9He1xjUL1BFbHTyk3AVMr1J24g37YgoLcfVfsWqp6C7iFqpYEjqeS8UnL7EakAcCtSAMboAzlT8CywAUSu7RyMaznhAz+PjsUP4F/Qb4dcusn5Kpmx8cp7k6lbUFa1M97Lbw8pzZcvHUE3rDlD3hbxC5DV80XK1R/4BhgW+AvwHALbHQnlrwG9zGJOeSGySHLBUGfAgMsgxNVpNpemIl552WAR/GT810WWGcm3KRDVbPhF8Yv8Wk6P7TzimTxC+l1wHhguwZQXvfB6xtbFnlVdRbwMRU7s+Y1Q60M3Pj56Zww6xhWxWzH2AyOEYnTga/NOG2Sb/hs40eBu6jYie2uE2pD4CgLrLbpWl5GdzGwCK6kzv/nMEa6Yr5YoabF5xnvj4eaT4qjaiYax/geMKdZMtfGRsohDwaey8IZg4e2LbA3LbAzLLA1gXnw8NBawH8U6gWFGqFQy+W2IUnFPsfbEX4NPENV82dqjzvgnYEF8Y5NhSZqQdhWJ696T8hEKuvnD96AIeT7hDxlH2sXsl2Ah7JPqnGd2puBeKOZh3Hh4ppd0Bl3qXyxQvVUqL3wCoSFgRUssAPiKmE1s2/wKpChcazXEo3kkBMPV9eDBfatBVa1wCp4fu9gYFp89OAnCvU3hRqsUNNkaujkeEek4fiF8mmqWjdTe1x0MwTYE2nzTG2JgXZEXiNpv31mSxx128IMfG8Gvu+0gcnRUh/rfYHlgJ1baIs5BdGNbG3tMqWlcLX+/cDWmP1Yr8FFJsoXP4fXwm/TyP2oFUoKNQzX+QwBBllg21pgSdyANIWtE6EhQtaSZgbeBX5n1qkcQSoo1EL4nf4gfBjB4/hd/50WWMfG0yWBz5+9HjgFOLuWi2ZieGvD+4ANMHspMztiQuJwYHNoJvLy/++Qiq1Z73qDK3r3u6l544nLbHCshsaExIfA2r+d0qpaBw8nrkzFauoMpVBL4d3m5m9TPOnDSi4F9ou6wHUZulq+WKHWwkuYuuMlTA8mup/Xr48EFrUEatcbxSHvDaxmZpWsbakXhZoe2AC/828qr7ojerxoQcbiKp9Dexs+bWcvKhmKq/yEfBY+hafQjRyiC+f1wI8QibyqWgjPpdY9x/rdGfXkovuy5K/dWSzqeZ0boqYgPwJ9zfiZqubDa7O3oVJz2QkKdTRee3xAKxsJF7ntD2wW9UnvMnSlfHF0c3YqsBB+83FjWtdKSZcD/zazs+Jeu1FC1rkKV9eDBfadBXaDBbYdHtreH5gauBL4VKEuUaghCtUnEwMr9iGwCh5uf5Sq6spxxorZ3/GylduiTkuFpdm4xuWAfaIve8i6A6MyF/gf0881ihuAMD4rY6M/8F3kjKfFb/BOqMcZR7QerpamAi4HtgZW6oLOuEvkixVqHoW6Go+W3QUMsMCuT/ngcg0+zz12Cn9Clnd2+jcwWz2tMouAQs3PRNX2CsBTRO08LbCPUjWm+lvf3z3xhv/Pprp/E34Kuha/mdymAZTXk3byqmoUMHfUuKWehb66YHlW3nsQTwNrR/OTc4HE74EL7FqtgNcPfwMMrycFolCz4i0O+1tgv0y2QX/gFuBzvA96w+ZLW6Ir1BdH/R+OAnYEzgXOsCCbKpCoAdVIYCWz2tItNa9d8OsZkvYAVjezxBLteUCh+uFF6U2h7ZFM7LX9vAU2PhVDqtoUn8JzcGuN/xPHT8ePAHdjdnwmNsSIxAb46W5Fu1b34zc8r9exQA+87ebUGsH+wFoW2CaJGNsBJDYDdrBr9S/8Pbz25OMU213DW4VuZIENm2zxJYDb8VNLkONOZbETpT32xWttGzJfHEUGD8DLmG4ATrAg+0ZBki4FXjGzs+NctxFC1pvgH8iGxgIbZYHdZIHtgM943hsXMlwCjFSoyxVqM4WaLlFDKnYb3vHmWKo6MxoGkC4Tlde7Ig1r7+l5p/m4xjE/T/MZ9SutZwG+xWw8cD6wpELVVqebDr9baq6Xe+HNPDav1xlHTFnuJA3CJ7QdjdmxXcwZT43fxO1OA84vVqgeCjUcL2FaCp9utk8enHHE7bjviZVCn5AlTYufFOc0s1FZ25MVCjUvE1XbK+PNJ+4E7rDAPkxkUx+Rdz0gYKsa2h3Gj/e6fgDYkISnsCRNk8hrgyXuXe6uwzY+oft246+s48VLA1dhtiSAQm0P7AWsmodWrvP2/+DyXde8dNgxQ08aSKX+31M0q/xLYAEL7KsobfHH6LEZllH6JCOifPEt+ASiXRqppCkqbRuCV3aMxJXTz2dr1ZRI6gN8BsxlVmd6qQ2KfkJeD3i2KztjAAvsAwvsHAtsA/x0dRHepvE5hfqPQp2iUKsoVPfYNnUHvBGev3+OqhaLbe1aMXsZr5n+RzQlqrA0ibxe/WSJvnteeuFm7b5gUibvY10F+gCbxmVfh6lqpqXnenmLD7+e58qOOOOINYHXImfcCy9p2h5YuQs646b64puArRvMGa+O6ykCPEy9Th6dMYC5TuFxfK5BbBT9hHw58JKZnZO1LXkkmvm5Ap53HoR3gbobPz3fZ4HF00iiqh3wwQC7RSHtdJGOJKrpLXoDiAePWnfEZmfdctgPP/X9Q5vjGpsj7QCsTzMdRdRi8kxgCQvanJyUHJ7OuHfBP769yLtfLFip+eeZDIU6BxhpI7gYPxl+A2xPAXoOxMVk+eLtzbg/Y5NiQ6EWx0/ES+A/XzXzcs8akDQcGBhnuW1hHXKkdPsMWMEsobBsg6FQcwMb4w56NbyTUZNqu90JQ23i03qaypJOSnU4hYcwr8LLxbYqdC6xqs2vfapy0HbnXzsfsKJZOyMLAaRDgdkwO/i3L3no72H84nZxYva2RVV/ARbWthMGgNbuSClO9HN8cOAzHHjWffwZF/YcU+jfcZ1E+eIL8ajXkEYpaVKoOfEyvY1xh3yBBR3SF2SCpP8D/oPPSY6lwqfIDnkV4AIzWyprW4pI1IB9XSbmnr9lomr7mQ6dqnxqzy34kI+dqKR4gvEhAg8DD2AWpLZv3FS1MnCWtrVbgGHA6m2Ma3SkM4AvMfvTJF8O9XvgVmBBC1KOHFS1M3DkJ9/OsdKc+33yGU1NQepEoRbv/QsPjT4ZdYODMbs6fmPzSyPmixVqRnz61q54i97TLShm2lHSc8DhZnXX1LdIkXPIXUJdnRQW2GgL7FYLbDc8lL0T8DNwNvC5Ql2jUFtFncRqo2Kf4Qrs74GnqGre2A1vDR/POBTYEWnr1PaNn09xHcDp+EX4gihc2RYtzkKO8m9P4fm49KhqJbyd4SZz7vfJVDQ1BakXSZu/zqnbvsq03WBIF3TGDZUvVqjeCnUYXk/eD0+nHFNUZxwRq9q6yCfk14GdrIt15EkDhfodE0/OawAvMFG1/U67C3gTkf3wQv662iN2GmlJ4EFgUCG7NVXVCxgNTK1trTeumP+bGee2+hrpfuAszO6Z4luhFiEVFGUAACAASURBVIzWWNgC+yYZo5vhndyeA/akYndGTUEuNGO5utZx8da5yw1n2z6/sufjl3UdZ9xo+eJITLojHp5+DjjaAnszW6viQWrWXz0GZ1pIhyxpbuB5vDtXl8klZUFUmL8OEx30D0wMbT9lQRu5k4kDBE4EzkttOIUPF7gA73mdn2EdtVLVl8CSVOxziflwhzqsVVGU9Aqwc2tDNxTqfGCsBRNzzIlQ1dTAY8CtVOwUNy1qCmIMqXkdnzt780d9+Wnug1gF0b9IucXO0Ej54mbTuU7BhXiHWWD/zNaqeJHrVz4G1jKr4bDSDkUNWQ8EHi2dcfJYYGMssNstsOH4TNsKfoI7A/hCoaoKVVGoGaZ4ccUewvtg7wFcHA2jT8Foux1vtHE7yqgHeOf4lGgucnRB3p6WxzU20WLIuhnHAztFor5k8KjIRcAHeNP/Jn7HlGMXW0cagIsNn1vgAK5HPNSFnHFTP+reeLOPIjvjVfCyoJOAw4A1G80ZA0Sn4kdwn9RpiuyQ0wuDlgBggU2wwF60wEZYYMvjZQqP4A39/6tQjynUIQq1SHR3DBV7H29WMiPwMFXNlpK5p+M10lchFe19PpLIIQNEIcu/ALdEE30m4tUGM+GNM1ok6m50HnBCEsZGHAgsCew6WSTkd1CDUhxA2gA/YZ+I2eG/dmcQtcw+bgAk1sBvRAqdL1aoAQr1D7xp0KXA0hbYXXloUJMgjwBrxbFQUUPWHwIbmtkbWdtS4ihUb2BtJtY8jyXKOwNP2IKMB47FlZWbdaJJRB1GaSq8teKjmB2T+H5xUdXFwAtU7KKmL0V5xeuAn4Cdfxsg4IMV3sBspraWVKi+eBvCDSywV2K2dz287GxFKpMOPZG4DrjTjGtbN05NOdOjgGGYPalQvfCbjIUtsLZO/4Um+r3ug382CpsvVqg5gBF4l63TgPMssLGZGpUSkuYDngTm6GweuWgnByTNg9ebNoQooFGwwMZGd8J7AnMCW+KlVKcCX+odrtM7vPfCTxwN3ENVyQ8DMfsZV15vi1SkWdm/haybiBzwrnhucZ9m32ovXO2v9yYwJ+H5vPioagF8sMNWkzvjiLZD1lJPvP/2cGAVzJ6MvrMG8GaDO+OpgcuIfvYiOmOFml6hTsGjUd8AC1lgZ3QVZxzxATAOqHuO+eSkPxig8wzE88fFO9p3EaLw1L+ixwkKNRte/L/57z9m7enEu3+cgb+udonW7gG7D9wtwUlVZl8hDQYeRnofK0QeayTw+8m/aMYYiSHAMxL/jkReNTnkiIuAgxRqLQtiUL5XNR0+2zigYq114ZqT1kLW0ox4iHYssCo2See4wUw+TKKBmKy+eOWihagVamp8wM0ReOnPUhYUUEAZA2ZmkprC1m93Zq3ChawlXQk8Y2YXZm1LSf1EH+SB04otpunGdt1hwg8TuGq08XfgsSlm3ca2sQbhDmllLOVZ0vVS1cbAPlRso5a+LbE+cAWwoqE1gMGY1VR7rVDbAAcBK3Yqr1dVN5pmEFdsz1bs7IY72ymbgkgL4+mM24HDo0lVTTYKeA8YGnt4PQdE+eLrcV3A6UWaXxyVMG2L6xFeBo6ywF7L1qrskbQzsL6ZbdOZdQp1Qo4k5gOBkzM2paSDWGA/AfcC975wmfb8ejxXPDGWLf76HSuNMeZRqAfxC/XdFthX8W1sdyKdiSuvV8t5H+RJRF2TY8b9kou8vmamm2bmm3rCujcAh+K9v2/uhI0jcKHelm085//ZO/M4mes/jj/fs7tYe7mFRchNypmQDqWDRKhGpdJ93yE1+02RDl3SJZ2mQymhm/wqhZIiV3Llys3ade3x/v3x+S6zuzO7M3vObt/n4/F9GON7fL5rdl7f910Lf01BRM7GuLlHoDrZz3EtMd9NSwqxvrCjLMeL7Yek8zAhqP3AEPUcDS84mMSusSIihfHelikLWUQaYaaB1HVc1uUI02Zx3NwD3H3GZiIx7spewDKO1Tz/WehMTfNANwmTlTwgbPshe6U2sBS31gq0S1aSVw++b/0dZ7wXoRlBP6SKJWdjsq5b51lHHnh9AzFlb51xa8Dsbr9NQURuBh4GBqP+3dx2N6fj1aM3h7y2MMWOF78EdAD6q1K43vEliFjSGZOodRy2i7qcZ00XCDvZ+FzVgjc9KWtJXafjxI/LH259A7jw9Mo8rk2pq00ZiLGukjCW4gxgnVgyQSzpbc/HDR3zubkJqIpJcApXdgAJedVtZyV5/UODekOYEtLoS/XoN8AG4NqQV+aVEzHCMiAvMbY5VvIkEonIBIyFeGogMbbpSzkqd/KpL66MiReXCTEWS5qJJVMxoYkpmFaX0x0xDshcClmPXNYEuSemTtGhvOHW+UAXTNnE+9qUSPXo1+rR24BGmFKqTRjrartYMk0suVosqR3SdVSPYNy1gxG5okjvoagwk7K2YSySgKiSOoO+Sz7lovPtvsehMBx42B4yEhxeqYFJ4roNt/+uYDmoD2xCpCrwBdAYI8YBG16IJdWBdpSTPgNlsb5YLKkjlryE6YO+CJM5PanUxniWHeZCyL+H2ShrgtwJ0wvVoTzi1s2YcpfDwI94TWcp9aiqR/9Ujz6uHu0GnICZYnQ+sEosmS+WjBJL2h1tSJIXqjsxVtjTmKlh4UieceQs2vJn/MV8/BB5d/LKhXp0EUb07grqAK9EYUTlfdz6fpCXSWzC3weB+ZgxdX3RfAcJnAfMsXMNyiwiiAi3Yn5mV6nyRLgnb4kl8WLJaMz/VSrQwv6dK9MzxkuQX4COhTlBmRFkMS0QG2E+LA7lFbcewjSifxuYj1dOy7mLenSHevRt9eggjGt7FFAD41rbIJZMFEvOtzO6/aO63L7OR0gxtpQsOFlTn/Kj1hQu/wx4Bn+dvPJmFHCHWFIziH3HY76kg26w0oANHR7kseuBp1C9yzeTOg/6UMbLncpafbFYUlEsuR1TslMfaK8evbdEhpGUL1YCdUQkoaAnKDOCDJwELFMtprIYh/DBrYpbnwGuBKbilZsC7aoePaIe/VY9eifGcu4NrMe4ZLeLJdPFkmvFkjq5D9YvgCeAGYjEFcOdFIb8LWSTpFYL09HqSUypUDDjGgFQj64FvOQnsl65FjgbGII7yJpxkRvqsqXH75z0MKqvBXWIJVGY/79ZQV0jDClL8WKxxCWWuIEVmJ/72erRq9SjG0p5aWUSNQ+cf2Ca9xSIMpNlLSK3wxlXqs4plEvAoYxhOkF9hmlUfzvu4B/I7HjkeRirqzfwN8eytherR9UWtVeAOpiZu8XXpCQUvDICSMCtwwPuYxprrEW1ivkrMZgqhEmqvBDMZcSyW29CJ1ugc67jVEx4oAduXZX/CSUSeBo4pwKHY9Oo0DPYIQliyZnAOPVorqYoZYGyVF8slpyDyZw+AjygHp1buisqB3il8bWvR/3S/Lj0KvddFLeStOS+di//oClDFnJ7N1zWQYSrRDhLhOb2F5BDecatfwOnYARzNl4JWAqUE/XoLvXou+rRSzGW5P1AFUwt7iax5BVJ4oIr+3MfEEtRt5UsHMG4rLN16bIThvoDo4JN8lKPbsdMxso9eMIr9TEx0KFBinEVzMNOi40knppGhVoYSz9YyuQwibIULxZLOti1/i9gxqKe4ohxAfGK4JXqeKUtXjmXyLgfevS6qOqi9ItdtH6wBVHxIX+Wy4SFLEIStPGYsGJ7MCUb6ZiyigOY0opN9rYxx5+bykJmo0M+mM5QSZi4b/8gs3wDIpY0xwhAX6B9xXR+GvcN7dtvZUyPDfpsoddbWLzSCxiBW88KuI/I6cAjqJ6W/W2ODntQJd+uZHam9V/ABerRxfb1ozGu1w9w65P5rlfkBIyYfgPcLWgNYIkqQT1A2cl4fwGXqKdw/7cliR0vnohJ5gnb+mKxpAmm1O80wAImF6gG/b+CV2IxIaO6mAdjf6/rYjrRbQE2IxG9lrWaLxcNvIzVK/6AqfEZXJYeUvOtMtKpS54E7oM2lVWPxcfsWFkNjDDXt/9MBM7yfU+EAwQQ66zXjmiHOaYU6GG8sgT4Cq/cFkK2by7Uo6uAVcDTYknVw5Gc++hppGW4GJ8xQm5MrsQHGIH5TT2l0kBkCyFayFmo8o0I4zFJXj1UybPRv3o0xc6uHQecY882fg3z83kq35WaB4P3gSSyWtpKHj2s/dMME3ddHMIxpYoIiZhEwvWY5K2w6/5mhyQeAi7DJP4NU4/+d7/rvFIBU07oT2R936uA8VJt8flzE6aEbcvRze2TgT41YVlz17cttm7d6tq76MnMKpEx+XuVclBGBJl2wHKokC3Zw3YL7bA3v7/ItmhX55hgZ/15ps/rRBEOEkCscUQ7fHDrR3hlNfApXmkHjAo60SgA6tE9mNGG7yVXlPMWJvLuFf2p828c7wLxYsksjCv22xL8Mss18ckPeQ2WeArTFeolEZ9xjYGZBNwtlpytTWmHaV/ZPcds49yIXIuxvNyozvb5l7ynPOWmLzCzrDSdEKEHJvTxHISfi1osiQPuBm4H3gFaFmkr2nDDeNBqkrdFWw/TFGgbx0Q2S3BXkl189+b72c9JWnLfyJVjZ7Srm9pq3qfj/rmg7cG+od5GGXFZy21Aa1X/TewLf/5cou0r3L7vHSIPKxvY6Ih2CeGVmsCHmJCFG3e+9a3BYz5vNwCnShK1Ma7tPkBnjBt3BkY8QrEAQ8NYqSnAcbh1f4B1PgYcQjV3/JfQk7zEkkFVXIzZ2ZiYCKEL7jzuTyQCI/rnY+qL/8r+z9wGNFfl1vyua197LvCUejSsS57s74qs9p9XqvJVKS8pG3am+nUYq3g28JB6dF3prqoQmN+DePIW2boYq3cf2UXV3+sdhX2Azw8ReR74R1Xz9y7lPLaMCPKbwDwNsnyieNZwVLQDiXXWa1/R9ucmd0S7qDDNKsZjSnL6BZV4FAwm83oi0AC4MCvzWiypgsnW7oPJ3t7EsaztX4rctW08AX0C3pfIJGAhqq8GOoUIjYGfgcGqeXe5OzxFmnXdyLLESEZ/dq8+EnBHkXiMi7oCMAjVPX6u+wSwW5XH87omgFhSFZMXUjuc5+j6xIs7AReFU7xYLHEBAzHeijXAiKP5AOGKyVOoQ2C3cdbrTPIW2S3AVtx6mDBARIYC52mQE9iyHVtGBPkX4DYN81m2OUQ7L+E+RP4x7bCLR4Utpk52DCYb+IsiOadIFGYq1e+o3pPrny2JxGR/98UIdA1M/ewM4Bv1FME0Ka/MBSzcAWYXi8wAJqE6Pa/TBJXk5ZUEYP643cwavov+GBdn7hIzkcaYe5wL3In6TwwSwQvMUmVKXmuDoyMh3erRkF18JUWOePE14fT7mVUuBgimhGl2PocUL16JxIRT8kuKigW2kl1Yc4ttIA9RmCIiJwNvqeqJIR8b7oJsj1zcBzRUP0/iZQ1btKuRt5WdiGkfGdDKxhHt7HilG6bs5FngyZDjP/4wdb7zgXGovp7nriaL9QKMQJ+C6QM8E5hR4EYLXvECs3Crf1ETWQjcThAPqiLcB1wCfpK8vBKB6VG9HrfeKpZ8AcxSj07IcZLTMGGC0ai+mM/1fgBG5WeVA4glXmCuegJb+qVJuMaLxZKTMOMQTwAeBKYWawKicR9XI3+Ltiawk7wt2i3ALjtZs1whIrGYZj2xGuJEubIgyMcBS1QDj6Irb/iIdn7u8SPkH9P+74i2qZv9BJMdfC3uInB/ijTHNCUZjGpQg03EknjgHIw4n4+xAmZiLMuF6gkyhuWVJzExrycCrG0DcDqaf4zQ/kx5MZ+Zq7KJilceA7oBZ+PWNLGkHfAV0FQ9tnUicg2mTvtyVL8J4nrrgF75uXVtT8N2zCShzfmdtyQJ13ixWHI8poa4F6Z+/DW/3oxQKEiZT2DB3Yb7v11SJSKbgG6qoT2MlwVBPg0Yo6rdS3st4UQO0fYn3P5EO1BMu/yItolLTQJaABflmZgULCJnYzJVu6EaUtxQLInATLHKqnmuDXyOEeiv1aPJAQ/2yl1AQ9x6p581CebLsRoaXPN/v0leXrkEY2V1xn0sC1cseRtYp0k8Yv/7RZjkrXxnvYrgsteWoEqeQyLEkp7AePVoh7z2K2nCMV4sltTAWMJXAs9jfm55u3MLV+aT83X2Mh+HgIjIHGCsBvHw6ktZKHtqhmkY4OCDbeHssrc//O1ji3ZVcov0ab7viXCE/GPaZSOO49aDeOVy4F5gAV4ZhFvnFeqcqt8g8gim53XXICYWHTvUWMM/2dtI27rpg8mEfUMsmc+xrO2cbfa2AF0DnDoeSAtWjM1tkCpCf+BnEZboFEkGJgC9fMXY5mFRfltXha6N9hIJdEF1d5CXqgXsy0+MbfoSZsMkcsSLu5b2A6tYEgPciZnM9T7QSpuyA6hpt5YtnTIfh7z4C6Nd5U6Qm+MIcoGwRXu3vQUr2lnCHUi084pph4domy+WJ/HKUuATvPIg7kJm6KtORKQV8AEifdCCzYZVj67HiOAEu1b0bIxAPyiW7OSYa/tnbZpn+8y8apADX19ZK8LlLsn4cO32Rkca11p3M27N9dnQJLi+Lxm3n0fdGe9xcqDkrQAkEnxTkD7A5SGcu1gp9XixT5nPvgwSb9rBZXHCgLYV2fZCTX5tX4mOmDF/vmU+vsL6a473ir3Mx8Evf2G0KyTKgst6OiZjbVppr+W/io9oB4pl17e3NPKPaZesaHulGWY4xbfAXYWKbZnBCV8Ay1A/buRCYJetdOJY1nZiVRc/PFuTbkO30VQ9OaxykR7A46h2C/liXqkw4oMxK6fMG1Jp464GTXIleYl0B6Yuq8nzbW7mHoSu6tHVQd+LscKvUqVfnvtZ0hQTn69XSt3Qjq2lJOLFQZb5ZCqZ3v3se3AXVau6SH6oOl9fHMtvhGmZj0NuRKQPcKuqnhvScWVAkFcAA1V1WWmvxSEw9hdaFfJOQquP6UGeX0y7aEXblPRMwZRZDPLjng0ekaqYut7xedX/FhaxpEGscFH3aJ758gAHgIUcy9r+G5GBmO5YA0I+uVcmZqokRl6enqq4sid5mRrKJ4ErUf1SLBkJtFOPXhL02k1TkBaq3JLPPd4FtFKPXhfyPRQhhY4XF67MJ9vrJutpuDYNC6gIPIApoQvvL2mHXIhIU+ArVW0c0nHhLMhiLJIUoIqqBhOPcghj/Ih2oGS0dPKPaQdOhvKHKe0Zjenpe5E/N20IN9IU+BG4FA1QI1xUeGXX28mcPHQbJ2Os5wuAfWeuZeOw30gdMpCB6gnBfe6VGzDtFLvKkKPx7dcVeRFTy30xJnlrBRyNX/4FXKQe/SWYSwTbFEQsmQM8qx79LOj1FzF2vPhj4B/g6mzx4hIs8xFL2mKy2Ftj5lO/V9peA4eCI6aPwX4gQTV4T0a4C/IJwDeq2qi01+JQMviIdl4lX76inVdMO7dom6ziCcDNuHVqIRZ6Jqb/dXc0eHduyJg4+BDcugSOurY7DFzGUz/Xp9nmeCpgGpjMBL60+3IHOlcP4COgmz3WEhEaCZnzpzJo9cVMSwcuRnWX72FiyfXApcBZwVhrdlOQz1V5N+A+puvZP0CdUhl24JWYi5/96MJZiy944czWc76dcW/fRRGuzBIv8xFLGgCPYDq/jQFeVo/jii4PiMgqYEAo3t1wT+o6ASi+LzuHsMN2ne6xt6X+9skh2r6C3d33PREyySXWumlwlw+SRvQb+1ytF+t2rFt164gCNSdQnYPIw5jM61NQ3RvyOYJjC0YYlgDYVtMviKwE3pckZmCs5iHAq2LJIkxS2Az1+PSX9koDTLLSFVliDKBIxqf0S7mKN9uPZEzbVdo8mxjbTMYMKuiNEf/8CCapqzfwQ5GLcd5lPnWBepkqdSd+c0v0/1b0dL1149AVl3T9EPuYvKf5FCFiSTVgBHANxl3eLFeegENZZzXQFAhakMPdQh6GKa6+prTX4lC2sEU7gQBWdqQrrWFURFoThMzDaRX/ztSIfwgc0w7sHhd5DjMZ6fyCZl7niVcmA/Nw5+gUJvIp8DY+yY5iSWXM6NGsYRipwIy6EXyzthFjKgrv4tbxPufoinHXPukiI1Jx+e/kZc7dHzOP+uT8XKnBNAURS94BflKPvpTn/WdR+Gk+W4Atyze33NFp1C/3HDhSuR1If1X+znWtYkQsicaEDO7FeCseUY9uLck1OJQMIvIypqnVxGCPCXcLuS4mCcLBISRsS3uvvfmxtKNYPb5VhZiKqS9t3Vvn9AfeG/fh7GW9XBjhPhUf97htafuNaVdj5+sraTG+JjufAW4rhlvJspBzkqvsST16ANs6FksEOFmgb4yLKdXWEHtA6YwlQ4AvNYnzgPGnDuObnybpM2oeYNoDL4vk6ORl+BS4H3BDHq5o0xSkLkYE/e9junOdB4ws4DQfX5FdhMmiz7fMJ0e8uETri+17HgpYmHas3e2Z3A7ll63kP0I1G+FuIU8Elmk+fXMdHAqFV27EfFFegVu/9v0nH0s7jyQ0rR9DanRFDm/fTfWlBIhpA8kh17V65WbgRNw5Ro+KrAXOQTVvC88rw4EBp2zkkgWH6OVSV986GdXPbbs7WiMq1fhsRfzegVdyZQ9gz9tvX75x7domPwCvq/J8zlOJJadhhlQ0DxTnFMFudUutQGU+H++n3YhddP3r+KNfWMU+zcenvvh5YFxJ1RfbD0YXYhK2dmCGP4T1kByHokFErgNOUdVhQR8T5oL8KfC2U4PsUOx45TTMF/aTwDOhdC0SQT6lX7uGbPj2ZW586hVu3IV/AYd86rTJKdpe6QcMw60X5rhoKnAc6qd1olcaExU/g/TUFge0aubHm88du/bACVUlM7NTREZGx+gDqWnr4o6kJrtSqgNEEkl1qu+KISY6LS1y1ZIlJzaPi0t+4a7uz3zUscbqt0hPbU5kzCrSkvvKap6Lgu+ONOUD/Fi0s/88s+Xtbz9/0rIn2hwgQJlPj410P6DsXdSAx4DNxTnNx36gugnwAENVg4qBF821LemGmcKUgClh+sIpYfrvYNci36Kq5wV9TJgL8gLgTlX9ubTX4vAfwCsNMa7ZpcANIQ+nEDkdI+o9UJ+EKo4KQzz5l3yBj1i3rvdnxtU93zj7Xu/TN2a9t4Ma6TXYtR2Iwc8vsH6YsGxzneEtft3Z1LVqxTLqV1ybvH1TtecumDnzsrpbtsyPOXDgWuxSDLFE1aMCYFlWHHDyunUNLz10KPrqE1strdCifkXpdMalkpjykcryMYd/T03Z33szNVc2ZHvVCDaRQ2yHvTqpwfRF/XrsfKXmYAKU+Ygly4Gr1aMLQvr5hkiO+uISixeLJa0wGdMnAw8BU4IeKOJQbhCR9sBkVT0p2GPCPYZcB/OL7uBQ/Lh1gz3GcTLwP7zSH3cIE4hU5yLyIDATkS74jAu1rd599vZnoFOIHHWP1wcSd6VUb/n7hpNqYfoY1wfq12K7NGFN5N80/QrJbm1fdpn3+B5thrQ6sjWajh3rcM5Zp1N55nGx3JsxDHhGyIxVFV/Xr2VfuLEnPn4GqanNiYlZdULyomc2NG8wovvLR/h0xpdUiKoiPSPqVzgpZkX7XRk8Wm0tm9Sjo3Kuf/IQbgOWB2q+Yo+prI5p/1hslEa8WCxJxCS+XYixjC9Vj9M/4T/MVoyGBU3YWsgi4gIOAXGhFFY7OBQak2g0HLgVGIg7RA+NyHjgROC8EHtA+1tLJHAAqIzbZHH/Kh17KfJ0Z365H1u44+KSG/fpM+us4477t+bsb86IWLu2pSuxQRSJVf4hMfMHXbGw8QcLOPgH7BsLA8cCDYBKgAAHb4mK6t1z8OBqHUeOdDX87LNMxjy+un+zKXUS6jWMe3NqI/n7h+czP1+wI31fWsJHs5j1+C/8MhczMjHbA7MI44A9gZqCiCV3YDp/FVvlREnHi+2a6uGYgSGvAuPUU2xlcA5lBBGJwGhYZQ3yeyCcBbkmsEJVa5T2Whz+o3ilD8ZafgC3vhH0ceYX8TNgA6o3F8E6tgCdjlrrIv2Bq1DtB2BZ1gXAK8B04AFP06Raew7Xn7V5e5XmPy6qmeGZvnfZ9iNrW0F0FHTAbIc+gXFe+wrRHpE3fzvvPNei33/n8OHDDNq9m6FVKqXfUGlh5LBek7i9y+sph55Lmz2t08WJGxo2bLo45cu/lujibSsnMBKT7b0T1Yz8moKIJd8AE9WjnxT655Lz3CUcLxZLKgG3YOLD0wFLPbqpOK/pULYQkS1AZ9XgPhfh7LJ2Sp4cShe3zsQrPYHpeOUk4N6gOjKpZiByGfAzIrdQ+CqBrKlPWe7z2sA2y7JkKUtnt6VtY+BKT1LSeuLjF5Aa0fz7qB2HHzu0MXURpGYasbhIdc96EVQVMafxMWITEobTs2cLpk51bRg9OvPF8eN3dd1z8EhFOu+8+53XG296p/Zjf9C+61erz/3ojxNPbB9xztnnp1Sq2v6qfnO6vjmdTKAKIrs7sSB2JGOaI9PPwwj10W1efVLkGrr2/ptBhfx55MKOF78IdAa6FWe82J5xfTmmw9ZioKd6TKtRB4ccZJUtBiXI4WwhnwvcrarnlPZaHP7jeKUKpk1mBWAwbvXXzSo3Io0xvaKvRLOXU4V4/enAG7j1U/u8nn9jiL73viGnxBPfsza163o8nq0kJCzbcccdLW5bscK1eO5chqekbL7m0KFGvu4yEZJUSfK7Vp8YMsnJfcXEpvtC7DNwRi2YVEm1VlYCWK397F+8nOV1u9DF5UlKigBqVuLgL69x3agreDcD8+BwdHvzJJq9cyJ1Zr9NBJBMDsEOuOUTshKhHmZ+ce5+1EWIXcJ0PuZJZh+mhKlws7YdyjUiMgOYpKrTg9o/jAX5CqC3qobNrFSH/zBmOMVYzPCFi3Cr37aeuRA5DdOR6TRUVxbw2i8BS3HrRLEk6t55fLu46xndTnA1i3ibtzloGmtZ0x5xPXRzzZquIZdfcsTzpgAAIABJREFUzugRI4iuXTuD9PRCe8FE9j4Kjz8IbwIvAIMskoSKVPRcyZWsYx3f8q1Fkj6C6f2coEquZCax5C1goSbxEiaxq3YQWy1MDN2vWFs8XG0MI++uy5Y3f6Zr0nH6b3G1ujwFk6hVExMvnuGUMDnkh4i8DvysqpOC2T+cXdZxECYD7x0cTPen+/HKH8AcvHID7iDq41W/R2Q4x3peB2ddZ2dzplIvwpJBwJh1rTvWOi29026tULnNQQ5uU4+KiNx1q2jGRwMG0O2RR1xMmJBJTEyRdIJSrTIKHh8lMkChyzrgkHr0cSCpslVZH+CB5d3pviPJiNW+AGIcgbEuH0Y1E9MkYwd5ZJybAyVrFnc2oc5Eao9g7NBXuKHjO1yxfjBTLwFuRySNvC3u7T6v9/srG8ux7ubAY0AXTGz67ZCmazn819mP0bKgcATZwSEU3DoFr6wCpuGVE4FH8h1OoToZkZbAR4j0RvVIKJccu5v4yclcDfzThjZJnSqe9eZp331/a9efftqeZCVZInI/cO11qmd2mzLlFV599ajbuaC36Z/OFvAa8LWIRKnq6IMctAAv8NOpp/605aefTg0UK+sCbFWPbgjpkkYwd9ubGQl5LF6cALQerB+aeLEcbcPpz9I+yc97goivQB/d/teQw9deyAURVemRcIjnKmRwxdanQqxLd3AwGhYb7M7h7LJ+FDiiqo+U9locHHLhleMwda7bgKH5dpsymdefYpI8bszPMgMQS9oBj8cI7cbVYMfEHa1OHszgr3vOnXvS6XPndkN1lcjd0+GZtkAP1RBqpguBiBwXBT8/VrFixfvS02sRE7PqhaFDp/1TscHFTz999+rMTFc/P/cyFlD16MjCXbsI48UiMeQQ6Y3xNBjei94zmtN28J/sGDubQzUPUBNTIuZXvP1su20vgMN/HBF5AKiuqvcHs384W8ixQGhP0w4OJYVb/8UrZ2JmK/+EV/rh1rUB9zeZ125MktdtkLtXdBZiyfHAaOBs4NFlDRnZMIp3du4YfD0Q1+P77ysA20Q6ngjrLwRalJQYA6jqvytjY9N6wPF9fvqJlt9+2+KWMWMG3HuNp2Lv3l9VM3MjctEHuL4w1xWhO6a+eALweKHri1VTgbXAWrGkIqZk6lrgc2DApM/0H5+LR2Pi2Tmt7MZA1xzvxSKyk+DEeyfqdPEqx+wHjg9253C2kEMKhjs4lAqmicjNwMOAG7fOznN/keOBn4GrUc1WJyuW1ABGYqYCvQA8rR7dj1eqH8qouHrc2hFafefOXrdOmPCzcOQNOPNGGAjcAWD5zZ4uLiIj018ePz7ijSlTmPfNN0RWq5bRsN6ayVdc8e7lUVHpiR6PZ7fPfR0PLATqFKSFpE99cRKmvviLorkJEEtcwGXAo5h49kj1BJmwF/CkUgH/4u1vq4Jxx+eMb/uPfxe20YxDiRJqcnI4W8hxUHLj0RwcCoQZQvEiXlkGvI9XxgLPBxxOoboekUHANEROR3W5WBKDUdW7gfeBVupR39GKCUtTO1ZpGbuCwU2/+OCddy4/wL7nroA1K+G2FsfqikuQmJhV1x882GJqdLTrqcGDdXhMzKr9u+Jqx6YfoGfduTuYOn4lacl9ba9BH+DzAopxVry4C3BqUdUX2yVM52Aypw8CQ9Wj3xfFue0cgazBIfksRCIxyXC+WeVZr1uTXbxrIFJk5WIOJUIKIcSQw1mQY3GSuhzKCm6di1dOwTThOAmv3BhwXKDqj4jcl+ZixvH3yIvEcw/wI3CKenKPU9TI+Bm/HjxHzu4ziPvH3XXC+64qQJu9kN4fXJcW520FJDm5r2vMmBmvpqQ075yZGXEDLD2hybq+LY5vUvHXtNquLi37tnCtGDsDIyp9MS0lQyJHvPiUoqovFks6YoQ4ERgBfFJqJUyq6ZgGSPk3QTLthAOVizXN8fdaiAQsF8u1qRZLuZiDk2Xt4FA6uHU9XjkVU7A7F68MwK25vmjFEiGJ5FopVGmwj4fSIjh/+xOB+2X/s7968yOuqtxyewsy0jPl/gur6m1vpS9QU9ecVGz3kxeqa4HWTYAUkZlvQY+dyVUrtzn9Uv6d+zbrK/ZyNU4f1aLaaIkDToXQunMVebwYEEtOwJQwdccM1ZhcpkqYiqBczN4653ov/3IxX5d6vuViDkcpV4LsuKwdyhZuTcUrg4EHgV9sUV6Y9c9iSQ/gCSB6TzRDtj7FjS4YxpMyP9CX3Jdbzjvwzbw2cW1bpzN26DOZp/ZLVeClErmfIDgCLwyH8Zm76tatd2BCZoeTu7p++/5jbRwXneaplvLJ3TuZn+HR5GDOVRzxYrGkNmYM4qXAeOAa9WhqYc8b1vgpFwtIEZaL+dn2/sfFO4VyIsiOy9qhbGLix4/ilaXALLxyj6zmN0ynrzbAKOC9I49oJqPlR2AecCfwTM5TiTD49tuax5zf5LNtN3c6u8bvH1fYu3ZjZkVgVsndUL58c5iIylGZv6ZGf59UqXGVyhk//HtlJtEpHb8+wExPNTLxSh1/3gJfijpeLJbEAfdgstrfBlqoR3cW5pzlEiOYWaNB/8pnb7/lYvbWAuiZ471KIYh3eSwXKzcWckXI3fHHwaHM4Nbpz7woKQsOMS1OiDykPJQGA9XjE1tWTUHkQswgir9QnQUgQgQwpmLFQ5dUqbr38A5XlUTcGQ1+rJCxpI9K5bfi45Yg0td2HZcqqpop0vC3NOb34q7Ua6vKgVH7H46tef/q+7Z9zpOVh1fjXWCh7S3wOwe5KOPFYkkFTInVKOAboKN6dF1Bz+eQA59ysXz3dcrFDmF64AdFOAuyCyhvT0sO/xHEkmqYnsfDEly8tqYR7WtGcC4mvpw92Ut1AyIXA9MROVPQLZhhFhFXXfXWHS6XPuDxeNIZP37GkubNYzpdeimkp7fgsceykqbCgA7b4M94VN90ibSss2XL9bNrb7+CSHb0GKZ345Xvgc/xyt249R3fI4sqXmyXMA3GxIn/As5Vj/5euPtyKBSqBzH9JPLvKRG4XCwRMzM0e7mYSFa5mL+2qOFSLpaJ0bKgcATZwaEIEUuiMS7S+zCdvNrufUi34JVITGbvQruJyLJsB6r+jMjdv9LhywjS0zKI/BgYXqfOv3cAiwBITW2+KC2Nq7t2hXbtXIwc2bwk7y0QIiTBgzfBVYigLtIf+WjnoF11IlPuoRZGfN36KV75G/gUr7QDhssQzQBuxCRYFSpeLJachfn5KnCdenROYe/LoYQpXLmYb9lYOJWLlR9B3upybSQhwfTkDQPXnINDIOzhCUMx4rIQ6KEen+lObk0H7rGHU8zFK9fizj6STdAjMaRUfY47Nt7CxAdRTbcsGixiUVMAYmJWLf/zz1ZtmzShKIdHFBZVkkQ6joWIQyARGaqZ44Y327M5ctnTE2cRfTQP3K1/4pXOwAcHDkd/XrlC6r8HjsS0pxDxYrHkZMw4xCaYpipTnSlM/wHKQrmYSOOdsbGzmqSkVA32tsJZkCMi1q6N4P33WzBmTBi55hwcjmE3mOiLSdjaBQxSj84PeIBb38YrK4GP7eEUj8oQdQFjgMEZRHS/hYkPAS8jcs3BpAeqb2FLb4Adycn9DsPqynXqZBAbWwzDIwqOqh4WicrA5H4c3Bid4kon0nXdIgYh8hWqnwPg1t0NavwzLCoibcEZrb7rel+fJ8/oOfp/IYuxWNII013rTEyb0dfU43SxcvBDaZWLxcWNiLznnnqZTz8d9FLDuXXmrh07dlSrUbkyxMdDRsav5N9arjxm6TmEKWLJqRg3aRVMvPjzoK0zr9QBpm3ZU2dbw9s3xKZnRgFcqspORGKBHy66lB206Hf2P/zDYhbDYR5lLA+oatBJIiWJiOwH6pHE3W1p62lGMz7mY0Z8z4Exc+iM6jKfePGL6e9EbIlwZT4BDMOtM4K6hiU1MSVll2P6gY9XjzrlkQ4lT97lYrWJiLhu/+bNUqdJE1JSUoLqphfOFnKmpqbC669nEhOzhuTkW/hvZuk5hBliSUuMRdsBU9/6bshtId26tX71jbceSa/w3TWnTz700EWjT028bZMpybEzr70fM/+yERnpEa6ISHvmsQAPiohoeD5JV8TMSk6yLOufxSx+XT0qiFyRicyoL5tfgnr3cTRenAFeWcExb8GYQC1H7faid2HKw97DtBfdXlI35uCQi/zKxRISume8/HKLiIiIchFDzsxo3PiYay6YGHLhs/QCbTucpu4OYkk9TMOKizCW8WXq0QKV5okwGOq/KJJ54yvDbqwB/IhXLsOt3wGgunHYQHmqWkraU3FRteebt1RFZB8sfwKTNBYeiDTeHRc3qzJE7Y+LW4xIX5KSYuOJ/wVA0A9P57t7KnEoqSHrO67X4481qnDrAjuuPA1oh1euxn2saYdYEgUMwwzv+B/QRT26pkTvz8GhICQn90176qlZrpSUFsEeEtaCXCczs4Hu27cl6COKJkuvNtA2x9+rI7KP4MR7u9PUvXwhllQBHsDUtr4GNFOP7inQuUx98WPAJcA5mZmuxaDYwynewyuPAi/iVn2/Lc2u3Xnolwv+qdkWkdqoboNqa2DDvdAyfAQ5Pn7G75dc0uykpUtx9e+fVY41rwlN3rLriz+ey+l/76TGxursvg9hWLbuTW7dgldOB14G5uGVi2Q1G4CLMZ6If4C+6tFFJX9zDg4FRHVtLZHuBNNsxSacBTmDENLFQya0LL0IAmfpNc/x95qIpBK8eDtN3cMUsaQSZrTicOAzoJ16NP+HvUDnE6oBXiAK6KTKsa5Rbp1t98GeDrRb/5bcCvTZViP+9g0VG74CTKskh76DazrAIkTOVUp65GIgUlOb/3b88a4OlSrBrbdmlWMdmjev66+YjPMXQcZWZ3cMZojG3UD2TBe3HsIrVwN3fHuARVVcbNubySHgFvXoNyV8Rw4ORUVI5bvhLMiZQERpLwLAjjVvt7e8Z6WaFPtAWXqnkHPEWnBN3bO2lP94X9gSwS5hGoLJ3l0MnK4eXV6ocwptgU/t7QFVcg81cOtavNIVeHtzOgsiIL0RjWalxMbGHKpUafuhQ9ENhFc3wOcNS2XkYiBiYlYt+vDDVufdcgtMmJB5OC7hr4wMV9vvvjvjUbLVF2frSrYK1Zm+p5HVtAXOjhaOTKxFvSFxjIwSvi3x+3FwKDoiIPhGN+GcZb0K6GdPtCmf5Jel56+pe/Divc8R79CwS5jOw9S17gceUI/+WOjzCoMxPZrvUMWb7wFecV22lW+qRNDppVqcaa1Oeilhz57hdz733BPRrGl5iDYuOFhLNbiBDcXNdyKtL4alv7tc1IypvrJ7rS82nXrez6dNmHBrG7/1xSKnADOAM1FdKpY0BB4BzsW481/RpiRivAU/Abfi1iMld0cODkWDiDQCvlPV44PZP5wt5JCacpdJQm/qHot/oW4FnJHjvQohNHXf818vFxNLumAStWpju6gL22AiZ7xYlcVBHejWzPctiR1RlaeAL5pU/vuPqlVTP0idHFtFr68b0Sry4KLlh7gCI/KlzpnQtQts3N745Cn90iff2fWUH1v2PH7enhem3Jbp1zhQnY/IHdsrM7P5cJlFNJdg7qWpHpsKtcb2FrwDzMErF+PWbSV2Uw4ORUNIY4TD2UL+Dhit6rTAKxCmqXuwlncMpmg+GPHeVZ7KxcSSZhjR7Ap4gLeKYkZujnjxJdnixfmvqTawEqitTWm+OzPx19c3XluhT5+76HN+BpMurJt5wcRD6w/CCaVd/mSXYv02nPYV3kj4vPmtQ1e4KtX/RYZ2z8isuXHsSgbty9XQRyypDNxR+QgP9VvFvr+r0WXhq/qP3wt4xYX5f7ka6I/bSexyKDuISDfgSVU9NZj9w9lCTsGMYHQoCKap+3p7yxuRivgvF2sAdMrxXgIiuwiUpJY7aS0sB8CLJXUwpTQDMQlGQ9VTNAl2QcWL8+YC4Gv16BFgabX3IiPq1m/E73+uJbFRW3qeeoQGE2mQFB29kcjI44iJKcX2ss+9DZ66L/NVtXevu1oaXJ4ki/+oTc2OA12sG5Wt17ZYEglchSkd+wk42fsxjwGjeU2u8hticWsm4MErS4Av8coduDV/t7+DQ3gQC8FPLgtnQS7/LutwwZRpbbS3vBGJIne5WJaYn5jj/bArFxNL4jE1vDcDb2Bm5O4qsvOHGi/2T19MXa4hMmZVx5qbW0z75ZArMT5KXRViVz5f6Ujda6Ki6vVevZqqU6aUyuQnkQE14LfLYfKGn+ixs2X7Lfsn/zCr6Smn94VVL2QSaXpt27H5fpj2otuAAerRhQCMkaHAD5j/kycCXsytH+OV1RwbTjESd/nx1DiUW0JyWYezIKfgCHL4YRqkbLG3vCm+crFttgcgaMSSisANmAEEXwLt1aP5j4QL9vwFjRfnXmclTH/m646+mZbct+nucTOO7L+z1XEJ3+wnLbnvOWkRf/W78kruHjWKN158scQnP5kJT7U80Avo3/A9lmY0/Xt10j7XvheaL+kSRWSlNaTv7yuWdMfE5uMw5U5fZovNq6bamdfz7czr6f6uB4Bbl9hNRD4EZuAVN27dW4y36eBQWMqNIO/HcVmXbYq+XMy3qfthghDu1dXY3ux2+mIGEawAzlaP5r2WEMmzvjh0TgeWqkd9a5TXuqD11EeWfdKv3/QzrdVJyZ6Y8aseT0xs0W7yZNeH11+fObjEJz/Jb8BG2FtfkWoHK1Va/0Tm8IfI5JwI0saM2542cfgungHaYdqLegO2F1XdhMgAYBYi61H9I+Bl3boTr/TGhBkW2KMsy28lhkNZJ5ZyJMiOhfxfwWR577K3vGt+TSJRAv7Fu33W6xnNOP6hM6nVcTP66By29V5DNWA0SZKXiCeHUi5WBPHinPTBlATlYtmy1pHdus37rm7drS+QnNw37qmnZkxNSWl+zoYNvKI6bnYhLxwsInI6MMmsNeF8oPbMvn0BPk0i6e9ftlDn2wO8iBlFeUlQ7UVVFyJyK/AZIl1Q/Tfgvm5NA27HK8OA7+12m7MKfWMODkVPHOUkhpwC1C3tRTiEIUYw99pbLstQLOmAcZPuc2Vyy/Yn+br6Qb/i3QY4K8d7UYj4S1DLtbnIOAtchY0X+647a5Tj+QF2qf/xxwNuvu22F9+wkpI6eDye1h2A3SLd58A0EdmjGtzUpAKvUeRcTCnSYFVdCCycNqD/iA0N6ld8gieOAH/ECmuXN+TVxkN1fEgnV/0AkZbAJ4icgeYj5G593R5OMRWvvACMCzScwsGhlChXLmvHQnYIGrGkCSaOexrGOpucYWkaFmA+T/nP3RWpjP+M8xOAbkDtdCJqD+fx4xvwT8UPGbyjM7/ci3AFhS8Xa4NpGRvIQ5C4a1eNvzGjBz+3LGtrEkm9VDVJRPoAn4nIy7A/QjX2oXzvNVhEGh+Ji5vxREpKi+oi2k31sulqhmCcaJ34Rr+2fS77KO1d1wEOxAInvl+Hy4EaBbzaI0BL4DVErszXW+HWn/BKF+ATzHCKYbiddrQOYUMcweTb2IRzHfKlwABVHVzaa3EIb8SSWpg45WXAM8Cz6jk2MahIr+UTLz6N/13xP06PILha7wSMOz6gaLe5mT5b4ojePY4bc5aLiVAZ2A1UViXTY3nOPsKRme/yboWNno1i9pF6UO8TqNEJVrVXPVigxLKcLIqNXXt9QkKjGi1b8mqnTpkNJ05cyb59rd2W+/x61Ju1ZN8X60ZOWza/53p1A+CVK4BzceuQAl3QPBT9D5iG6tigjvFKNPAqJtP8ItwB6podHEoQEXkbmK2qbwWzfzhbyNswX2QODn4RS7Iyd2/HuFFbqkd3FNv1TLz4E8ygifv/pz3T7U5UBS0Xqw0ch0l8ql0hg1Pf/ZgjwFBE9uIj1j/Q7fCFfJa6m+pDEbZ9dDP9jtQ6ocJlXEYTq4muZa1l1qKd4G3gvt9EevwOP16nqr8W7H7l5BpmylWjsU88wbCbbkIOHnTx5JPNO1gd3jiLs676jM9YlbCqUXxnNvQ8dugWChNuUj2AyEUcy7yelu8xbj2IV67EfB4W4JXBuPWHAq/BwaFoOA7zOxwU4SzIW4A6pb0Ih/BDLKmAKQsaBcwGOqpH1xXrNYVBwETgTlWmhHyCfMrFbCv/rwsup7YmkYFx+R4V7t9of2pNdqRisrBrL5tI7X0V//633YgPj7vhwCA9aemyW8+KqrC8Qlrah4IOjqVbchPcB1fDrHiRnR3hi7ExMf1PPniwYYUAM8ZFOkRC0vNw4e/A1ZWg8c1Q+YaYmG11U1JqcvCgK/2FFzJnn3/+ngvpcAHQaxWrvtUkJgG+or8ZqBfyzyj7z2szIv2BLxBZh2r+1r6JHz+NV/4EPsIrD+PWVwq1DgeHwlGHcuKyjge2qKpT+uQAgFjiAgZh4sR/AyPUE8QXdWGuaeqLHwXsEErB6ovzvY4lQzEzfwcGWMeVQG9VsrmBJUk+r5mREHfvkRsOZkRENDtjzpxJYxaM7O7G++/1vHrJV5y5YAOL6s6MjGyyqGpV1z+pqbStXp06W7fu+zQ9/SP7NNFAY6jYCRpGQPNddeixty/RdVfS9p1UYpaNrTz6rqpVt9T/+eJu6SmVo388UqnSFR6PZ6tYkqRJtAcmo/opAF7zuwvEFTrJSmQQpsSpC6r5j0rNwitNMcMp5gJ3OsMpHEoDMV0NW6gG57kLZ0EWTKb1caoadJaaQ/lELDkTkzktmClMxV7lU5h+1CFfy5KPgBnq8R9rEmEkEK/K8BzHVQCWC3KDB08N4LnKEanfXtFwWpdZP5zReMz0kelPuu/pPOCFzxaRnByxPyOD3+fPZ33v3plXqt5on+YgvHoWXHKVGT4GfZiRsr9G3LvNT1o3aH9GxWpRtdIzjmv4r+vLL3vrkiUnbgfZhHHVb3qQR/v/QbvXZtL3O2Bjy3rLtyx/ovUeoC7uIphIJfIQphzs9JAawpgHgymYmxqEW7cXei0ODkEipiXxfqCSBjm8J2wFGUBEVgMXqGr+k5AcyiViyUmYcYgnAA8CU9VT/JOpcsaLi6C+OPC1TBexbUAz9fgXDRFeApapMuHom14RoHqvTVzz22Gu/bcxT+xLq9H0j5ROt/+R2qVSjdoN+P2nWrpsQaWUL9YN3BgxakQLbr3VxYQJmTz22Er25Rj8IBIv6D5Fvvu3du1Lto9uuOiP9D71t6VW4uT6R7RjxsTVVYZsbo2Ji9UHEoHEG3kp6X0u/XEvVavZ79WuGbfdlXo4ZvmBIzF/Ywu3z5+bgM2qpAX3AxLBPBgpMCSksaJmOMUjmMz0/riL16Pi4JCFiBwPfK+qDYI+JswF+XvgYVWdW9prcShZxJLjMa7iXsBo4DV72ELxX7uw8eJQr2fJ2YClHp+JMF6JwyRG1QPqtr7/z5HXnjFpzV3nPXvI5/06QEqGsrnNBhpem8Cie6oyD4kYmTFgj2vF6g0sXLCAtWv/JWVv7MZzNn8X3XDNmmq1UlLW7K5QYeAV7oQ1i1n8wChGPXnqvHkn19y+/d136l0ZFd8p+U9E2tev9E+1Tr1vomWbk4jkCEyNz+Cy9Ox5J0YsU4GaqMlsFyHyr6ebfv/W90O9j00ftQ0j0kcF3H5dG5N17ivSOYV7iypH7OtEYzKvP0P10ZB/yF7J6jF+K279IOTjHRxCRES6As+qapdgjwnnpC5wErv+c4glNTCW8JXA88BN6imZkEWOeHGB+1HniVcqYj7Tde2t3nmVueL4KCLwyhyOia0Lkxy1Gdiy/2Bc9RpxOz8HFmJ+LzYDW3HroQhgpSVn3ruTV+/dSW9tFTMgYs1LLdq0uNXVxvV55qpDH629aJo3Yd8pCV8fP3BDDHAyMO98tPJ5nOdK17QRv5zc1hV74PCK+OrJUxH59dI63sjmVTZ/TFQzgVYu/ppwdFhEDmIBzRJjAFXS8f699tHBDyU/+umoqf5+DCJEYixtX5FOxEwXOyraIuwCNoFurMruJXfxzD3rZHL1N7hmGka4j4l2Xrj1Q7zyF2Y4xYnAQ/YkKQeH4qIuISR0QfhbyM8Am1T16dJei0PxIpbEAHcCdwHvA6PVU3ID6QsdL/ZKBKasqR4+YuvndTzwL3bGdaayucZahjxTk6eGxmcT2/2+CVEi7ARaqwYuoRBLvgQ+06Z8SVT8DNJTmxMZs4q05L4yRGsAM4HTVFkpliRh5gwDEJ3GjoNRVATmtIhi3uxE7qsbyQNExd/nex7cOUY8ipwAfI1q4xw/jyeA3bj18ZB+jtlOTSTGks4S6/qNWdO+HX8Mms1Zq5JJqIoRdVu0A1rbx0TbKzWBj4Bk4HLcuq+g63NwyAsxrWBbqerNwR4T7hbyVhwLuVxjz8gdhplN/ANwino0/45aRbmGvOLFJk5bhbxFth6mu9cebIuWY8K6wOf1FmCnr2UWYUlroN9V23h86I3+n45FiMZ0/MkvU3M48IWs5m31ZI8Pq5u1IgwHpovQWU0YoLIkcZ8m0QrVFWJJjSou+jWO4skm66l0SLkJkt8DZkLyH9mmNB2jNv7rLLcAjf28HzT2/0OWl8CmCcgJnwDPAV0E3cYxS7u+z58dfP5+nAi7gY2gmyJc6UuvPX1S+06Nf1n++bMf3zvtl4vnY2LaTia2Q1FSF6NhQRPugrwF0zTBoZxh923uj5mRuwnop56CNbAoMF6p3NXz07CoiA6jL+/+7juTrx+2GRiHN5fwHiG7yG7B9NCe4/P+vwUsremDya7Oy1WViBGMPF2s6tHfxZLZwD1gNwz1/XdlsggdojjizcCVEUFmfNWDPIHqCgBtyi5Mb+/PT1jPNWvS6I7prf0RUFEsmYkZfPGdeo5mOwcS5M1Aj7zWW2BUpyHSApiuSE9Us0R7gb/d7VDEUdHOyIxMfGXOjYd+/Kt7VEzF1Leiow7sPZhWucox0Q4Y03ZE2yEU6gA/hnJAuAvyRqBhaS9g7fF/AAAgAElEQVTCoWgRS07DDKOvCNwGfJOPIIWGV6IwQhHQok3PiKj74IePx23anajfjuy19LQWP9QCspp3LOKY8G7FrUFPaykAWaMh8yKRYLqBGR4CfhVLXvbn8l9Gq2eH8tbv1zJp5Rtc03X349keIu4HmgE9/h6pRzAPHHPEkrsx86v7Yjp3vSeWzAVmLqhLtc5bAlrIxTkcZizQCngDkUvzyrxWJYNjlraPaLcBr3QHPjycVuHBKtftnXIoLdrXyk7ETA/Lel3HFm1/Yu3rHj9cxPfqUDZpQPC/t0D4x5DrAH+oaq3SXotD4RFL2mK+SFtjumy9F1IJk13mQ2C3cdZ71THuXV+L9ujrGb/1SRn43EePHEmvICCXqObrCi4W7AS2NUDtvEYUBmoKksd5nwUi1KO35ThRN+CjPzjxxZP4/XqQ21SZDoBXzseMVOyMWzflc/5qwLlA3+g0LqpxgD0bE3gFYz0vVo8qXmkEzMWtxfdALVIJ+A74EtVcHoGg8UoDTMhiBXAdbv+1zral7RvTzukmT8RYRTlF219M2xHtco6IbAK6q+r6oI8Jc0EWYB/QUFX3lPZ6HAqGWNIAUwt6HjAGeFk9mv0LKUeZT4DXdTDNYnKJbI7X23D7n6xUkvXF+SGWXAH0V48OyHO/AE1B8jhvDWAl0EU9usY+yZWYjldDUf1chM5kJXlNEcXE7/vj1nmh3MPBKHnlpY4cvOdc0jEWdCwwM8HFl5sb8UGMi0rFms0schzG6r0fLUQ5k1cqYx5ImmGGU+T5UBJ4OUdF259YZ72ug8k3yGll56zTdkS7jCIisRijIFbzn/J27LhwFmQAEfkVuNmevepQhhBLqkfBqAy4qnUFPv2gDt+1rEBV/ItttjIf/IvtVtxBDLsPtB5hIPAScJcq7xbi1ooEseRD4Ev16OQ89xMmAsuzNQXJ/9wPAm00iSGYVqOXAH1RXeZz3qtdkjFyx8s1qRa7ZxxunRT6Tcg0wIvqR/Z1m2Hi4n1jhZ7p8O0h5WNgpnp0c16nKjAi7YBvgfNR/aXA5zEemPuAOzCdvX4qmgVmJ4doBxLuumQX7UAxbUe0wxAROQl4R1XbhnRcGRBkL/C5qpb6F6iDD3mU+ezPJHHcbk58eR/HXRyLPlSNrYlRxlWHf8HNVeZTlNhfgKMBN6Yf9W/FcZ1QsFtebgNa5FfeJcIM4HVVPg3h/DGirP76HVb1WksEMADV7KVcXom49IX31qz+t6n+tr5Dk/ySxgIsbh4wHM09WWnnO/LnpVt5Z/ZB2mK8Ixswbu2ZwKIi7bhmpkNNAE5BC2bdHsW4798ERuDW1wu/uNCxP7O1CGxl+4p2XjFtR7RLAREZDFyiqheHcly4J3UB/IVJKHEoCQpR5nMok6237CDSu5+OcS4W94zm4ldqs6A0GzCIUBVTX1wR6FRa8WI/9AD+CrLWOpSkLgA0iepPdSXj3nNo9vvLNEL9ZoA/9uYNV62vfM2BSExNssfPPvkRKMuaGhFs/DaRP3HrOLu8rSvGrf02UEUsmYUR6G8LPb9a9VNEmgPTETnNt1FJyLj1c7zSA/gMr5wE3I1bg2vzWUTYiWhb7c2vd9BHtHNa2Sf5vK4jwl7yjmk7ol30NMdoV0iUBQvZDfRT1UtKey1lHhMnq4P/RKj8ynxyvj5a5mOXMF2ISdjagRn+ML/E7isAIrQBPiUM4sU5EUueAXapJ/82kME0BclxQFfg49QonokdybUIt6lHv862j1cuw8TzO8kQjcCMT7z1aJJX0Dci+4FE1E+DDa+8DszHra/lOsySEzCu7T5AZ0x5yEyMa/ufkNZwbC2CsWwrA5cQZEP/gHilCmY4RWWMC7vYhosUFyK4yNs9Xh/zO7+XvGPamxzRDh4ReQeYo6pvhHRcGRDkDsAkVT25tNcStuRf5pP1Opq83cYhl/mIJd0wU5gSMCUxXxRpCVMBCbd4sS/2A8xqYKB69Pc89zVNQfYC0UG5lEWGAM8CV6M6Uyy5GJPR3uGoi9grHYAvgV649Q/7OseSvJSVwd2IVMZkFEf7LTvyymggHXfeGdBiSQJwDsZ6Ph/zWcxybS8MybVtJuzMAWaj+nDQxwXChGYexcTgL8KtSwp9zjDDFu1g3OP7yD+mXeAcj/KEiCwA7lINLQ+hLLisVwNNRUQ03J8eiprCl/n8j+zCu6eo4rRiSSuMhdUeU/v6rnqCzyYsLnLEi3uHQ7zYD80xLvQ/gti3HkE0BUHExbH7PhPVpfa/TMMkKl0KePFKbfu9m7LEGECVhSI8QFYnLyWYlpLGXR3493Iz5vORJ+rRfcBUYKpYEgGcghHnSUBN27U9E1Ovnndfc9XDiPQHFiKyElVvEPcRGJOtPwKvLAFm45UbcevHhTpnmGF/tv61N79JcX5EO0usT/R5r64I+8g/pl2uRduuDmpGeXRZA4jIVqCjajFlaZYGJVTmU9SIJYlAEsZFPQ54Ma8a2pIkR7y41OqL80MsuQ9orB69Kd99hTMAS5XT8tgpBhOXrY1J3so2wlEs6Qm8cU8VTnyqJl8Cc3D7tx5FmIBpxtMviIeAU4DnUe3s99+9ciFwPW7tk+d58rqEJY2BCzAC3RX4Cdt6Vk8e9Z0iJwKzgT6o+u3gFTLGszANeAtIcoZTZMdHtANZ2Vnu8Zyi7S+mHRbfKQVBRGpiOvlVD9WILAsWMpgnjRZk62kbpviZ5oN/sfVX5rMOmEcRlfkUJWJJVYxL+jrgVczs3r2lu6pjhHO82A99MA8zwZB3QpdIfWA6sBRwo5orzqce/Z9YsjwTvgJ2/p+98wyTolza8F0IioJgzjnhEcxiwIRZEQTFRIs5HXMgmJCmFTB7PALmHNqcwByOmDFnAdPR8ykqZhQBCfX9qB4Ydmd3ZnZ6Osz2fV38EGa6yw1T/VY99RT2QNUQp2GJrBSRV4OCroBJ2M96k1FXvwRGACPEk0Wx0nZ3YLB48gPzStuvz1ehUf0AkSOABxHZEtWyRHEFcfRtfNkcsxLdEF8OxtEpFV+3Rqhz0i5ogxsk7aWpXx5fn3kJfEURplC8p52Iz8YCdAA+bUpFNy0J+X1MOfhcbBE0cZsP8xLux8yffKdUa8wnTMST1sCJWDJ+BNhQ3QrHSkImyf3iugQuVxthfc5SWBn7ACpwMdkcMzn5N3BJY/aRdy3HuydN5sxFhNWGntzwyU6VmcE+6LdEeLfIqFWxhPwtIdpnBuXqB4AHgtJ2Z+zkfDWwgnjyOJagn1ZXp6A6JlBej0Zkm4qU1zkc/QFfdsIeEl7Dl71wAvOVjKIESfuH4E+pSTuXuDvl/V3dpF0wcceUtDemtHZUPdJSsj4U2E1VndAvXv6YTzFR1E+1UMoKPvD6Yg5b7wJnq6ufxBvV/CRxvrgY4okDHKCu9izp9Q2ZgogciCWFo1BtXBnty/bAvUt9wcs/z+FjdYuLnQKR12OYyGt8Ay86F2iN6jkN3HcBYBrQptpjQ+LJqsxTbW+NuXc9uuAsxswYyiDsd3zfipXX+fhyHFZt6Iujz4R23Yyi5CXtxhzRVsTWbBbraRe0Sm16bHIL8KqqXlf2e1OSkDsBD6rqOmW9sUpjPrVMoADuBlyI/TAPVLc8O8UoyOsXtwb2T2q/uC7iyV3Ac+qW5oolwmjgprknVRNvucChQE9UG38S92VVYBxwqHzGBOzhqpO6WnQtnAiHYysdC4u8REYCn6J6ZSP3/wbogtPEUaYmIJ60BXbGTs97ivLrUe/Qtsv/8fzhvThCXQ2vnWEPO3djy1KuSEPVq7lQJ2k3NPJVKGkX6mmXnLRF5EPgMFV9u+yY05CQvxkpa3fox4Rvr2qhi7VrO5GZU/YG/iKGMZ9aRjzZEuttLo19EBdbCxgLef3iMcCAhPeL5yKetMJKdR1LSYgAIrwLHKXK28GY0S3Yh8neaBFTEV/aYJqEW3H0X0EMlwJtShGUBfdvWOQlch9wf6Me0r68AZyME89cunjSAthsib/Yf/k/OenzJfh7RksexvrOTwYK78qwh55HsDLlsUnRfWQUJ0jaS9H4yNeKmLi2WE97mogsAq1+h5lttYCeo2g8aUjI3Nf+4y7DFltv+GXX0nW59+Djocqsqd/R+Ik21DGfWkY86YD5HW+Bnb5uC/UUESJ5/eLTVbk97njKQTzpClyirnYu+T3Cj0AnRVpiH/q2kUiLfOhbK+YerGR8WO73QDxZEls8sbW6WnQsQ4RWmHbjedU6Ii+RF4HBqI5tJI6Hgdtw9MFi96o6Ip2+as/YQ/fmxhdXoxPmlvYW81TbnzX52vbwcxOwGrakY1IIEWckgLykXaw8/ic8+wucubbqW9KUe6VD1DVraodNt3Z4+72P6XrKyfDBoDk4WpF6MwPEk+WxBNwbuBQ4RF39K96oCpOS+eJi9MBOZiURmIK0m8oiufWAo4ALGxNv5XEWlhy2y38oVVd/Dk7Jw4D9il0kT+T1ZgGRVzFRF9iDcTJ+V1U/Wk3kkBdu4QZgKxnCT8BOWN95gHgyBfv+jAFeKeuh1NGp+HIg9nV/A1/2jasqkBEuQWVocvCn4OeOCAJcDOP7w6aIoNi44pBy7pWOhNyyzcRNVvj5H8+89bPw6ew5tGwzMe6Q0kzgjDQAOA57qu+grv4Sb1QNU6dfnCQ/6nLpDvQp4/UrtuWP3xZh2uPAsWiJp0xfegDHA1s0UD69EvhUPNlC3eIzuqr8IEJv4HERJuaJvEpJyJMIUWldMaqPI3IJMFqHsDWqo4HRQWl7Y+yh6TJgdfHkKSw5P6luCetf7cFnOL58iPlgD8TRW6r1v5KRHFRRYIDIyUvDtYeq0qQTcouQ46oOM6f02KDl41++NfY++HjYBGZO6RF3SGlEPFlIPDkVm+teEdhYXR2Q8GTcCTPXnwDsktZkHKwlbIuJqkp4g8hVHHdOJz4yW8nSk/F6wI3AvjiFjXTU1WmYOviiQMRXFFXeBAYCD4vQHpHWmMdzsUSVrIRsXIH9TN0ZiORQV+eoq2+rq0PU1c0wB6rnsQeor8WTseJJ/6C90ziOjgG2B87GlyvwJR0Hn4ww2BQWL1tdnSMdPWRARFpinr4raiEj+4wGCZ7++2CevB8DZ6k711oxsQSnsmtIYb+4LuLJ6Vgl4tjiL5aFgZtGckLnsxn+/hRtV9oKN18WxxLNcJzGTe2D7UsfAP3U1SdKuj7zRF6/sPiJi/PbK6iuVCSmXYGBOLpzqfeIBJEFgaeBcaie2ehLPVkY2BE7PXfHBKWPBn9eUreBkS77ftyFVSIPwNGfQ4s/I3GYoIufgMWbIuiCFCVkABF5FThbGxORZMwlOP3siimnp2NbmF6IN6ripHG+uBjiyfPA5erqmMZfKMtj4q0vFmHqJ9NYpK0qZxS9gZ3CHgPG4+ipJcbUE/s6b1yqD3lO5NWRjyZ+xPqboLppkbg6Affi6HqlXD9SRJbC5pXPQ/XWkt5iv1MbYYm5B7A2ltjHYItV5k+6Not9AabT6ImjH4UWf0aiENuyNkJVN2vqNdJWSnkd87MdG3MciUc82QxLxCthQpOHkjjCVJegX3wnNrKW5n7xXMSTxYBNKeY0J7IJloyvBYZNY5FR0IApR30uwH6f+5cR2misDH0Q5oVdlJzI60vW+PAGjvy/o4q/JYkla0P1J0R6AGMR+QLVl4u+xX6H3g3+nB8II7sB+wKjxJMPmGfnOT540BkYLKd4Hl+OwdGHqvW/lBErW9HA7upSSdsJuSdwvKruFncsSSXYMzsM2AbwgJsbLKkljKBf/BD2YZaa+eJiiCcHAgepqw1rH0Ry5fnjUL3f/qqOKUhD+NIX+15vXm5ZVDzZBnsA6lDOkpBr5djzB3Jx/ym036RBJy+LTbAS71I4IVhXVgOR3YGbga3QRhZWFLuM2czuwLzT80zmqbZf1LXZEFtOcT0wtBYc/TLmISKjgTtU9d6mXiMdoq55vARsJSKt4g4kaYgny4onozBXpg+w5Q/XpSgZ98ZENOepclqtJOOA7jQ07iQiiJyDCY12zyXjgIZ9rHP40hn4F1YOLbtHqa6+DLyHqbJL5lium3YcV/+HnMirIUx5nNxTMoDqk1iFYQwiizb5Mq5OV1efUFdPwMxU9sZGZYYCk+UzBq71FRd/O4vuwH340jaM8DPiR0QWwObaK2oJpuqEDCAi7wInlLv4uVYJNuD0A07Cyo7D1NWf4o2qdGqxX5xPIJ76AdhA3TqqZ1Mq34jtTu2Jzm8mMdcURBsYLfJleaxEdnIlZdBgt/VYytngJfJv4CtB16TYukZfXgIG4SRYv2A7bK/Gpg96oeGuMxVPlsVK292BnTq0Yvo+bdHJszn8xik8lYZ2UkbDiMimwG2q2rGS66TthAx2iuoadxBxI54sKJ6cCHwGrAlspq6elrJkvDhWztsK6xfXVDIO6AJ8XSAZL4clwZbA9gWScWtsc1jhHrqt+XwAuKHSnmSwNCTXTy6V3AzyaUB7Gl/pmBxzkIawk8lJQBvMxz3cy7v6g7p6s7raG1j2s5kc8tI0Jj79F48tLEwST0aIJ7uJJwuFfe+MSOhKCNqmNCbksTTjhCyetAh6kuOxp+3d1dWD1dX/xhxaWeTNF38K7FoL4q0G6I49dMxDZCNMoPgEcCBa0B1tJczUvv6p0/qyo7A1n+eHFOcQ4FjxpNTEuSzwgyozMcevw0To1cBrk12yzqGa+3/pFexSrs5tXJ0x29WnXzpDu365Gru8ujKt9mnLKsBgYLJ48qB4cnhwqs5IB11ppgk510deMO5AokY82QlLYv2BY9TV3dXV92IOq2zq9ItPDT7Ua5X57TJFegHPAANR9RqxwVyJhvvHJ2C+44eEJQwKdlxfT+Mn3XzmunQFJfXewHUi/KPAayeR9BNyDtWfse/ZhYhsV+3btTxI/7PRQnR+YHlW17WZsHVr1sMWp3QDJoon48STc8STDUs1ccmIlsAjo+L+MaQwIavqr1iZtmSD/rQjnmwc2Phdi61521xdbXyEJoGIsIAIw4HLgd3TbvZRjEDxvhjwdiDeOhMYCXRrdEOSUVjQ5cuOwCBMxBX2lrKLgF7iSaGkWpf5bDPrOXnNz7ek4YScQ3UCNgp2LyJrVP1+jv4Xa220f3ll7tO1eUZd3Q/bwT4I2772IOYYdpV4skeg6M5IBhsB36jq5EovlLqEHNAs+sjiyeriyZ1YaXM0sJ66eq+66RuXqNMv3kyVsneFppDuwGM6hAWBW7Fy6BaovlnCe1fC1rvNw5fVMU/vg3D0y5BjJfBrvggY3ugLbcqhHTCfqluVWzCTjDuCDTk50lGyzkf1GawdMAaRdlW/nz1c7Y/9rr+BL53V1b/V1WfV1VOBtYDdgK8wX4EfxJOHxZMjg1nojPjoSkjeGGlNyGOxeb+aRDxZWjy5AlsN9ymwtro6Sl39O+bQmkQz6hfXpft6k3kR+A9mdLIdWthfugDzl6xtROYRzBazmtWRkcAm4kmXRl6zDPATWvDB8HTqi7ySL+oqhOoo7LPmbmyspbo4OgdHz8fEZY/jy8FzQ3FV1dXx6urF6up2wBrA/cAuwCfiyRviyeCgmpaVtqNlB+yQWDGpG3sCEJHFsNPDMqo6Le54wkI8aYOpVk/FPHCHqltkCX3CqSU/6nIQT9q3mMO3v13Iz4v+za3AkAYSWOH355uC+NICuBeYAhxZ7R3f4smhwFHAdgXHccxR7CZUNyr4fmFZ4E3gFFUeCnYF/wwsnLr95FYNeAL4ANXTI7uvWY4+HPw5E6fhVZDiSSvMCKhH8Gdh5nltPxcsE8moAoGWaTKwtqpWfNBIm3UmAKr6m4i8jRm+PxZ3PJUS/EIdiaksXwC2VFc/jzeqygjmi88D+mL94uZQop7LYe9y9rftaLXo35yFqt+ES+SfkAdhJ8yDIkpod2DCwfoKcaPRtYv11zXqJ/gyHVgcSOxmsYKozkRkP2AcIuNRvT6S+zr6Eb5sDtwDPIYvB+IUXgEZmP88H/w5PdhI1R37HvriyVgsOT9Wb/wuo1K2A8aHkYwhvSVrsJ7qXnEHUQniiYgn+2IbmPYFeqirfWogGS+GfZB3ofn0iw0Tbw2c1oqTprXkiiYmY8iJunzpBRwN7IPTtA0y5RL4L58JXChewVLtMhTZgxyIvAYADwUir3SWrQFMSNoDGIpI18ju6+gvwB7AJ1hfuaQFHerqRHX1MnW1K2bache2DvID8eRt8WSIeLJZsAUuozL2wnJRKKT5GzIG6CGSzh8q8aQrZnN5DnAisIu6mvrEJUJHrFzZ3PrFILIQcNMsoc996zHt5VUZ1bTLmCnIHze2XRobReqNo9+FGWoJPI6tkju0wL81ekLOkS/ymj2nRfqEXfmofoq5yd2NyFqR3dfRWTh6GuZPPxZfytoFr67+qq7epa4ehH3fTsfMT+4AvhFPrhdP9graZRllIObutheFq0hNu2Yae8g5RGQ8cIiWplpNBOLJBpgT0LpYKfLuNKqmC9Fc+8UAiORGU35c7RRGfb04l6lbuMda/FKs1UJmPzf7jpYzgfNwtKRNTGEjnmwJ3IdZas7rQ4pcBnyP6iVFr2HrGp89bLubF7v52COuKLanOfGI/BM4BdiSqPey+7IF5s52NSbuq+jDWzxZGyttd8fGSF8i6D2rq//X2HszQEQ2wHr8a2pIiTSVp8s8UlO2Fk9WFU9uxUwhngT+oa76tZCMg/niYTST+eJ6iHTCnLdeBPb9enF2oaFlEiXQZqE/V91glQ/aAY/ElYwB1NVxmDr+pDr/VNIJGWxdI7D/w2/1Wu38hwbtHHKI0aN6DfY7fA9mCBEdjr4ObI6Vz+8JxHJNRl39TF39l7q6E7AK5oXfBXhXPHlXPDlfPNk8K203yF7A6LCSMWQJueqIJ0uKJ5cB7wBfYyNMV6obTT+w2jTrfjGAyJ6YmGYwqucESuqGxFAl0X/PS/sv2/6H6cAZIUVZCWcDA8STJfL+ruSEDCbyuuygftde/OjAfUQoqQ+acE4HBLgs8js7Ogmbe/0LeAVfVgvjsurqb+rqPerqwcBy2EPYgthaykniyY3iyd7iZRuq8gi1fwzpT8jjgOVFZNW4A6mLeLKIeHIWMBFYBOikrg5WV6fEHFpoNPN+sSByOtbj3QvVO8DMXDBnpaa1UXw5bPacBTq/+mmXexobdYkKdXUiViY9M++vy0rIAEd0vXncoF5Dx2NOXouFGGL0qM4CDgB2C0rY0eLodOBw4BbgNXzZPszLq6uz1NWX1dUz1NWOwNbA+9iKzu/EkyfFkxPES97nblSIyPKYWctLoV43zT1kABG5GXhbVUfGHQvMXbd3GGaM8Bpwjrr6aZwxVYO8fnE/VWIrq8aCzR5ehfXd9kL167n/5MlJwMbqavnLCaxH+OiKJ37zzKRfV3xNlRFhhVwJgRPUR8BG6ur/IfIDsBFahtDM/t9GykE6Dlgd2KvBdY1pwcRdrwB9UP1PLDH4sjNwJ+ABV0cwo94O2BUrm3cDvsOqQY8CbwQK/ZpHRI4GdlBVJ8zrpv2EDAkpWwcjTL2AD7HZ297q6n61lowL9IubWzJeCushLg1snZ+MA+ZfJlEqvqyAnUSPnPTrim1peLFE5Kir32FCIi9wrFqChtZCNkxOZX06sCilL7FILqqfAwcCdyGydiwxOPos1i46HrgWv7pLd9TVKerq/erqoVhp+59Y+f467PR8i3jSO0jctUzo5WqojRNyW+yXfdVg8UT0MXiyDeYBvChW2nuiFheOB6VGHyvB769KxWbqqUJkPew0cB9wdl3nLfFkUYJFCuqWsfjBl9aYReOjODpUhHeAY1R5K6zQK0U8aQ982mMi+4++i/tRXbqsC/jSCpgKLCwH6ZJYSf9UVSra5ZwI7LTUD9iKmD6D8GVR4HZgKWxMLnKHP/FkNeaptrtgLcVHgTFpWw/bGHk5ZxVV/S3Ua6c9IQOIyP3Ak6p6Q6T39aQjZsS/EXAucGetlmyCfvHD2Hxq/xpfmVgfkT2wBREDUL214Es86Q0cra7uXvJ1bbfxzdhDzgE4qiJMBjZQ5fvKAw8P8eTUJf6i188XsxSqncq+gC/fA5vg6CQRNsN+lrqq8knYsUaOyL+ATtgmr3h+N8xi1cX6y3vjxOdrEDyc7oxVjPbEZtrHBH/GpflzUkQOBvZX1bJmwkuhFkrWYD2Ug6K6mXiyknhyI6aufQHooK7eluYfssYI+sVjgfNVOaVZJWMTb50C3ATs3VAyDuhO+eXqU4CNgcODZNwaW86QxOrD1dNa0WH0OjR1QmCuOUhw+s+ta0y3yMsYAMwE/hVbBLacwsX88J/El1D7m+Wgrv6hrj4UaCmWB44AZgGjgO/Fk9vEk/2DykvaOAjLOaFTKyfkhbBf9o1V9X9Vu48ni2Ml6aOx3cQXqRtuySJJ1PGj3qcZjjS1wrYfdQF6oPpVgy81i8nvsF3VDb5uPkyQcwewJY69R4Q1gWdVWb2S0KvFUT3lqpdXZr+JS7NM2W0ZXx4FrsfRR3J/JcIIakfk1R4Tco4KNkXFhz/XtMLaK05yDgviySrYqbkHthTjTYLTs7r6RZyxFUNElgPGAyuq6l9hX78mTsiqOgNbRdanGtcXT1qLJwOw8Z4lgPXV1bNqPBnn5ou3Bjo3w2S8JGb7uALQpbFkHLA58EMZyXhN7Cn7wFwyDjAP64Ry9aN8+deCKNCrCW//lvr2mTmRl1dpbLFjzl09gHMR2SXWWBz9APuZ7AyMwZfEVCHU1f+pq1erq92w0/OVWLn/ZfFkvHhysXiyXTCxkjQOBB6pRjKGGknIAXdiJ7nQEE8WEE8OwxJxF2wd3dG1vjElb774M2CXZijeWhcTpLwF9EL1jxLeVboZiAlwHgE8HB1b519XwlaLJpJWc1jmlHGMAS5owgdmPT/roP2xH3CoCHuHFGZ8qH4B7A/cgUiHWGNx9CdgN236wfIAACAASURBVOBz4HV8WTfWeAqgrk5VVx9RV4/Clo8cAkwDrgB+EE/uFE8ODKqTSaAvVSpXQ20l5JeBdoG/aEUEI0zdsWH4o4AD1dW91dXxlV476YiwD821XwwgsitmgXkBqgPQkkt9pY07mfDmduBVbJSoLvlrF5PIsqeO42XstHt4me8tuPEpeODbB7i2Jpy8VF/EHM7GIPM5nEWPozNx9GTgYuBFfNkz1ngaQV2do66+qa666uomwIbY72Jf4Gvx5HnxpJ94sk4c8Yk9qK8AVG3mvCZ6yDlEZDjQUlUHNvkanmyFjTAtCZyF9TVq54vUAEG/2AMOpnn2iwU4AVv4sX/woVraW82x6C1guaLCPl88YCdgRxz9u34YjAImJMUUpB4iTwJXyhB+xHqU66irU0t6ry/dgJNxCqvQRTgU2362uSrpbweJXIoJ9naPTXmdjy9dsJ7yCOCiiHZrh4J4sgj2e5Mbq5rKPNX2K8FO6OrGIHI+sIiq9qvaPWosIXcEnsJmkssSMYgn62IjTJ2x0YHb1I3fujAKgn7xndhatuY4X9wK+De2M7YHql+W9XZPTsDEXIVWFc7Dl96YCrdzQ3OiIjwC3JLY+VyRd4GjUH1bPLkHeF9dHV7Se33ZCLgNRxusYolwJbAGtSHyWgBrTXwDHEcSPmx9WQl4CCtjH4lTnV5oNRFPBHvQ6YEl5zWxz/1HMQ+IX0K/pz2wfwHsq6rvhH39HLVUskZVP8YchLYr9T3iyQriybWYJ+k47In/pmaUjHP94s9pnv3iJYAngNUwY4eyknFA8f6xqV6vweZDGzNtWJkE95CZ38d6EHC6eLJUie8tWLKuQz9qR+Q1G9uhvA228zx+HP0G+3ycBbyML6vEHFHZqKuqrr6jrnrqamdMEPYc1rv/Sjx5UTwZIJ78I0jeYbAVMB14N6TrFaSmTsgAItIPWF9VD2v0dTb/NhCzfrsRuLAaT1ZJJugXX4sZfTQ2X1ubiKxDsP8VM/woezQk2H4zCVipwcUhviyFrTEchKN+4yEl0xQEAJEWwAygDWrldvFkFDBDXT296Putfz4daBcsSGjgNiyDtQBOVeXBMEKPFZHVMc3A4ag+GXc4QM6Q5nSgP7A/joa6JCEuxJOFgR2Yd3qewTyv7ZfUrd8mKum6ItcA/6eqw8KKteB9ajAhL4NtWFqjkJWmeLIQ5vt6FvAY4KpbvdnlJFKnX9w7SRaNkSFzTfnPoQKHt8C//AR1tfCYi1lGPgW8iaONrlMMTEF+BxZOZLnWfLw/RXWuUEk8WRb4BNi0pJEvX74GuuI0bqUYOHk9AWxfI05e2wAPAtujCRKH+rIbtgd5MI5eG3c4YRKcjjfEEnMPYB3Mh34MVtr+qaTriLQDvgI6qeqk6kRrJHHOqyJUdbKIPIZtXJrrmhMs2XaAodgCiJ3U1Q9jCTJG8vrFbbH54uZVogYQOQ7TCRyA1hs7KpceNF6uvgx7Sj+7hGutCExKZDI26q1dVFd/EE9GYAYyh5RwjVzZutGErMpbIvTHnLzSL/JSfRmRgZjyegtUf447JAAcfQpftgEewZcNgVMLiQ3TSCDGfS/4M1Q8WQ7bULU3MFI8+ZDAaxv4pBHx7sHAc9VOxlCDJ2QAEemC7QpdlyEoNot3ITbfdoa6pStoa4k8P+onsLWJ8Ss/o0SkJTbfuBMm3vq8osvZQ94koIu6BXrPvhyJtUW2wCluIiPC9sBQVbatJK6qIbIjMBjVrvP9tfkWfwbspq6+3+g1fLkfuBdH7y3tljUk8gIQuQjYAtg1V/ZPBL60wx7U2wH74WhNP6iLJ62Brsw7Pc9mXvvqBXV1BswVc30EnKiqz1c7rpoSdeXxGvAXPRmDNfuvwEq0XZpxMs7NFw9V5eRmmIwXw5YZrAVsWWkyDtgM+LmBZNwFuADoWUoyDkiToGsu6uofWOXpwhKuUc8cpAj9sGpO+kVextlYW2JkMGqXDBydAvTExK1v4MvGMUdUVdTV6erqk+rqiZigsyfwPbYW9Afx5H7x5DBWYC/asAz22Vl1ajIhq6qyHq8xkW7A3UCnwOi89soBRQj2Fw/Fyvd7NFPx1tqYgn480D2wOAyDwmYgNlpyH7YwYkIZ10u8KQgFEnLAdcA64smORa5RitJ6LsGD4/7AIcFDZbox4WBfYEtssUhysOUUg7CqztP4ckDcIUVBoNr+UF0drq52wXrNY4DutOc+tmMpjaiUXJMJWTwZQk/+ydfA71yLjWc0O4J+8WhgW6xf3BzFWztgLm7/QvUUNNRxtvrjTr4sjM15jsDRx8q8XqJ9rGkkIQfq1XOAi4qMmpR7Qs45efWmdpy8/sAe5gYi0i3ucOph7YRdgIvwZVigjm82qKuT1dVb+YGv+C+t2BDEExVPhlT73jX5hVZXh+hwFdYH/sVQdXVI3DFFTd588RfAzs1UvHUMViHpg4arIBVPVsYS6Li5f2mjJNdhX/OLmnDZRPtY0/gJGeBeQIB9G3lN2QkZ5q5rzIm8ErMoocmofo19nW7BDI2ShaPvYSZJOcFXGtckVsbV/M50rqM1qKsSRR6pyYQ8l3UYBRwlIgvGHUqUZP1iaYnIFVj/cRtUq+E9uyc2OpF/4j4d6Agc0URbwjSXrFFX5wBnAMPFk1YNvKyskvV817d2y5PAncHoXrpRfRX7GR0djJQlC0d/BHYG/geMw4/HQzoOxASgx2J+85HpF2o6IevteiLWN0z/FpkSEKGFCOfTvPvF7bEyckdMvPVZle40f//Y5jn7A70qsCNMpagrH3X1OeBLbClLIeyE7DdZ0NQPs3gd0sT3JwvV24F7gAdJ4sHBllOcgH2mvIwvBX3Ia5AewNeq+l6UFdaaTsgBo4BTJEmKxiqQt794O5pvv3hNTGH/BbAHBYxhQrmNJ22wvvxTAPiyNmausD9O00xmAlOQ9pDo1kLRhBxwJnBu4GJWl9wqy3ZNCaDmRF7GIOBn4JpEKa/zcfQ6bCPXTfjSv4IHqrRwMnBV1DdtDgn5YWApSOhsZwgEQpc3aN794u2BV4CRqJ4YsnirLjsBb6mrvwXzm6Mxp6NK7AeTbQpiiWIZSkjI6uq7wPNYCX9+rJT/LU3oI8+9fu2JvOZg5hObUOhrlhQcfRlTh/cBbg8EjDWHiGwJrI5pIiKl5hNysPXpYswqs+YIlrq/AAxrlv1iAJEjsV+evqhG8VRr6mpTn94JjA3BdjDp/ePFgOlowx7UdTgXOEU8WabAvzVJ2JVPDYq8/gT2Ak5HpHvc4TSIVYC2xXLHS8GIX61xFnCJxrAys+YTcsDtwAYitTPsntcv/jfQrZn2ixdA5DJMSLQdqs9W/ZbmzpUbdzoPKzOHMU+a9IRcarkagMAs5Q4Kjxw2Wdg13z1qT+T1P+zkfzMi68cdToOYRuIg7CH49cAEpyYQkU6Yk9pNcdy/WSRkVZ0BXI71tlJPgX7xmzGHFD0yt1S8ESbemhjRnTcGpujabIIZPOwbkvdv6gVdBRgKOOLJmnX+vuITch45kVdtOHmpjsMe8EYjBasLycBRxdGLgaOBhwOb2FrgDODfqjotjps3i4QccB2wo5hrU2op0C8u90My/cxbZ/c/YHc00rWZPdZoxThMLLh3iJ6/NXVCBlBXf8Rsa8+v80+hJeQ8kdfBNSPyUvWx6sKDiCwUdziN4ujjWAl7IL6MCLabpRKxz5VuxCDmytFsErKaO85VmC1cKsnrFw9vxv3ibbFkfA1wPBH3eVrB3lcvzW7AiTga5rLyWjwhg43LdBVPNsn7u1BK1jnyRF7X1ITIy3Axb+XrEqu8zuHoRKzMuwZmuZm8merS6A9cp+FZ65ZNs0nIAVcCvUUktA+DKCjQL74l5pDiQeQw4AHgMFRHEvGqsrWHy6qthfW2W5hbcPSekC9fcydkAHV1KtZrz188EWbJ2u5TeyKvOcChwPrAgJijKY4tUNkLc657A182iDmishCRZTH1+BVxxtGsErLaDtJbSfJoQR2yfjE58dbFmEBoe1SfiiOM3m25ZauFmdy6RVW80VPrY10CNwKriSe7BP8dekIGUOU2bLVorYi8pmJJ7mREesYdTlEcnY2jZ2Ge5s/hS++4QyqDU4G7VDXWFmCzSsgBlwGHi8iScQdSjKxfDIgsii1r6Axsger4WOLw5Zi3p7PZhzM4F0dnh3npwBRkMZqe8KKgyQlZXZ2JrR28KG+H9PJVWlrQn9oSeX2DGXLcgMiGcYdTEo7eBewOXI4v5yV9OYXYatZjgEvijiXRX6hqoPYDfi+mpkssWb8YEFkNM/v4HtgNq3BEjy/b/jWHof+Zhnw3m4eqcIcVSLIpiFHJCRms1TATOABHZwBTMMOeUKlRkdcbwInAI1hpNfk4+jawObAD8FBgoJNU+gNjVPWruANpdgk54DzgSJHkDbVn/eIAka0xG8ybgGPRUEaLyseXVYB7T/+REXPMnasadpxJF3RBiS5dDRHsIj8DGCaeLEiVytZQz8kreZuUmoLqPcAtwEOItI45mtJw9AfM1e574DX8euNvsSMiywHHYyK62GmWCVlVJwHXk5BvQo68/cXNt18MIHIIVqY+AtUrohZvzcWXRYI4Lr92CiuSv0wiXJIt6DKVb6UnZNTVscAEbItOqErrevcykVc/akXkZZyHPbhdn3jldQ5H/8bRY4GRwKv4c3UESeFc4Fa1dZix0ywTcsBFQC8RWTfuQGBuv/h1bFNOc+0Xt0DkAuxBaQdUn4gtFjPPvwEYP+RnLmWeO1c1SPoJuS2ggcioUs4Ezpk8ix+p0gk5RyDyepzaEXnNAQ4H1iVtJkeOXo21Em7Dl9OSsJxCbBnNgcDwuGPJ0WwTstomoEsxN6FYEaEX1i++oBn3i9sCDwJbY+Ktj2OOaCCwDnC09wsbAX+pWzU3sGSfkEM4HedQVz8AnjrxR1alygk5oNZEXn8BvYDjEUlXj9zRF7DlFIcCt+DHXno/H3Pl+jHmOObSbBNywAhgSxHZPI6bB/3i87D56ObcL14FeBlbQbczqj/FGo8v3TD7wl44Oo26u4/Dp9kk5IDBY6ay6ad/s1aI1yxIjYq8vsV2vF9L2vz5Hf0ae+huDbyAL1E8lNUj2GuwA2apnBiadUJWe9r0gAuj3pec1y/uSvPuF2+FmQncBhwVm3grhy8dMPHMfjiaS5LVLFdD8kvWoSZkdfXr9Rbk2XN+jmYlao2KvN7CxEgPY8Kk9ODoVKxU/AhmIrJlDFEMB4apbdlKDM06IQfcjIlLIhMb5M0X/xfYqVn2iwFEDsJ+KY9B9fLYxFs5fMk9JJ2No68AiCfLA2tjJ/hq0dxOyAxdkhHP/sVK4sk6YV63IeqIvBaP4p5VR/U+TOfwMJKy3cS2nGI4cBwwGl8Oi+rWItIV6IDtN0gUzT4hqy2yPwc7JVf965HXLx6uyknNtF/cApGhWP9+R1SrWQ4uDV8WAHzgaRy9Ie9fugFPBeYWoSPCQtSwKUhD7NGGT05djGlEqOGoOZGXMRR7sL8xNcrrfBwdA2wPnI0vV+BLy2reLqiEXgScq3FX4wrQ7BNywAPALGzHZ1XI+sUBIm2A+7BS/RaofhRvQHMZBixMfVvVavePVwS+q3FTkEJM7r84CwFdxItUw9EfWITaEXkpcASwFnawSB+OjseWU6wLPIlfVRfF/YGFgLuqeI8mkyVkQO2H+iTgIhFpH/b1s35xgBmxvAT8AeyEhra6sDJ86QMcgPWN556ExZPWmPCjmuNXSS9XQzUSsqOz27RgcodWXIlZakZyuqtRkdc0oCdwDCL7xh1Ok3D0V2BP4B2sr9wp7FuITXJcCpykNkKWOLKEHKCqr2PlrCFhXjfrFweYkn0c9mR6OKozYo7I8GVTrGrRC6eeunsH4AN1q2rZmXRBF1TnhAww6dWVeQVYDtitCtcvSCDy2ofaEnl9hyXlqxHZNO5wmoQtpxiI+RA8jy97h3yHc4GxqvpSyNcNjSwhz89ZwEEisn4YF8v6xQEiBwKPYfuLL4ldvJXDl2Wx2efjcPT9Aq+otroamusJ2Zi0xAIsi/3eXSSeRNbXVeVtak/k9S7mgvYwEs84USg4egem3bgSXwaHsZwiMIA6EvMXSCxZQs4jGBB3gVGVjEFl/eIAE2952C7cnVAdHXdIc/FlQUw7cCuO3l/3n4MSag+qn5Cb8wk5Z5/5CDAVcKpwjwapSZGX6oPA1dgiikXiDqfJOPomtuFtd+A+fGnb1EsFn+UjgKFqlYTEkiXk+lyHOfs06cMh6xcH2IfB3dg42RaofhBzRPMw276RmBHJkAZetT62nWhClaNJ9gnZvo+tsO1MYTMJWCFv8cT5Qd8+SnIir/Mivm81uQCYCNycSuV1Dke/x9pGv2I+2Gs08Uq9sbbIyLBCqxZZQq6Dqs7GVp1dLFLeyrCsXxwgsiLwIjAdG2tK2tfhn5hb0ME4DYo7egBjgmRRTVYmyQk5dzquTpth7sYndfUl4ANsLjUy8kRefUXoHeW9q4Z9r44CVgEGxxxNZdiqzqOxg9Kr+LJjOW8Xm+q4HDghGHFNNFlCLoCqvgY8RRnboLJ+cYDIZtiSjPuBQ1GdHnNE8+PL9tipuCeONnbqq/a4U46VSHbJulrlaqi/8eks4Ezxwp90aIw8kdfVNSTymo7Zax6ByP5xh1MRZiIyEqta+vhyUhnLKc4BXlLVF6sXYHhkCblhzgQOEWlcfp/1i/OwX/wngJNQvTAx4q0cvqyKldEPxtHPG3qZeLIsNhNZ1V/iPFOQZIx/FaaaCXm+ncjq6sfYQ1DkwpsaFXl9D+wFjESkc9zhVIyj/wG2wk7MN+DLQo29XEQ6AMcAAyKILhSyhNwAajOyQ4CrG3LwEqE9JkjpSvPuFwsig4FLgF1QfSjukOrhSxvse3Uxjj5d5NXdgGfUrbqTT84UZHaV71MJkSXkgCHAP8WLXiWsyu3UnsjrfSwpPRS0ktKNo/8FugDtsdGo5Qu9LBByjQIuUNVJEUZYEVlCbpxrAMF6yvMhwj+wfvHXNNf9xUDgoetjSWwLVN+LOaL6WHnrZuB94IoS3hHFuBMkXdBlVDMh/wosFDwsAaCu/h/mzzykSvcsRu2JvFQfxlTGo1OtvM7h6J9Y3/8JzESk0On/GKAd8O8oQ6uULCE3QiDwOgIYLCJzV8Xl9YsvVOVEVRLniRoJIstjX4c5QNegRJZEzgJWA47FabyMLp4sBOxMdd25cjTnkSeC70WhU/KFwN7iybpVuW8j1KTIy7gY+Ai4lQg8+6uOo3Nw9HzMYfFxfDk4908ishrm8X1YGoRc+aT/G1NlVPVTzOf4JpFZXtAvHgF0V+XmeKOLEZFNMPHWI0DfxIm3cvjSA1tTtzdOSTFuD3ykbiRLy5v7CRksIc9XSlVXf8USyPAq3rdB8kRe14gQuoVjLJie4xjs4WdIvMGEiKMPY6NRLr5cP+fedh/v2JEvz9lnwTl6J8n8TGqELCGXxpXQshWMGoz1izdT5Y2YY4oPkd6YCv00VIclTryVw5f1gBuBfXH02xLfFZW6GrKEDKa0LtQvHgl0Fk+2quK9GyQQeZ0OPFRDIq8ZmPL6EET6xB1OaDj6EbA5Ldv2ufajHf/xx8KbiusOWYpW7aJoO4VKlpBLQs+Fj7eE84HPtyXiWcnEYOKtc7A+7G6oPhB3SA3iy+LY6f0MHB1XylsCd66o+sfQ3EvWRqGSNerqNGyGNrLFE/ViMJHXY9SWyGsyprz+NyJbxB1OaDj6y3+/+6v1uVe9LLfcehut1julBbOmdog7rHLJEnIJqDJEdR2xkba1XwKpHcFHqYi0Bu7ADOy3QPWdmCNqGNupejfwGI6W01bIzaB+HH5QBclOyAVK1nncBiyBbQGKiwHYWs7a+Z0317wjgQcRWTnucMJARKTv1TK938Gddb11VoNPR86hZZuJccdVLllCLosTzsO+ZifFHUmkiCwHjAUWALYn+WMEFwAtMcVsOXQHHo3AnStHsk/I9hC2CKaGrhYNlaxRV2djfgAXRrl4Yr4YTOR1ALUm8lIdA/wLU163KfbyFHDsO1/O/rz/5q+M5752s/l42ARmTukRd1Dl0jLuANKE6oKuCHcCr4rIY6oNm0vUDCIbYaXfm4DzEtsvzuFLX0yQszlO2QrLHkS0uD4wBVmcZJuCLANMrvL3vGDJOo/HMKOQQyAeEaUqk4PdyU+KMFGVj+KIowpcBqwH3I7IviR0R3AxAlX1+dNnsn2rPlM+iTmcishOyGUSqK6HAreLSKu446kqIr2AZ4ABqHopSMadsaf+njjl7TAWT5bGStYvVCO0AqxA8zYFyVHXPnM+8hZPnCeeLFzlWBqkRkVeiulhlsIEMqlDRFpirY1LVTXVyRiyhNxUrsTKeEPjDqQqmHjrTEzp2g3Ve+MOqSjm2PMgcEyguiyXPYDn1NUZ4QbWIMkuVxtRJOTvgBUa8yZWV18D3qSAQU+U5Im8/BoSec3AtiH1QaRv3OE0gcHA38ClcQcSBllCbgJqpZ1DAUdEdo87nlCxvuGtwH6YeCv5dqDmafsAcANOk207oxx3gkzQZTg6FdsKVuzUeTYwUDyJ+3Q6AGhNbYm8fsSU15cj8YyZNQUR2RHbatU3MHFKPVlCbiJqP8R9gZtFovfdrQoiywL/wVSl26Ilz+7Ghz/Xs/Z7mlh2E08WxPY2Px5iZMXITsjzaLRsDaCuTgAewkResVGzTl6qHwGHAQ8gsmrM0RRFRJYBbgcO1eQ6BJZNlpArQFVfwPyu7xCJRwUaGiIbYM5bzwAHoPpXzBGVygnAFsAhjew2LsZ2wAR1I93bnJ2Q51FM2JVjCHCUePGO6qjyI7Xm5AWg+ji2IGY0Im3jDqchgmU/twO3qOozcccTJllCrpyh2AKKc+IOpMmI9ACeBc5C1U2N2tKWlQ/CRFx/VnClKM1AcmQn5HmUlJDV1UnYA/CQagdUjJoUeRlXYEtz7kyw5/UAoA1l7KtPC0n9gqeGoHdxEHCciGwfdzxlYeKtAdiHXA9U74o7pJLxZXVsy9RBOPplUy8TuEBF3T+G7IScT9GSdR4XA93Fk45FX1llalTkpVjVqT0xeYk3hoh0wR6E+qRtcUQpZAk5BIJ9m4djpeul446nJEQWwmaLHWBLVF+POaLS8aUtNhs9HEefq/Bq6wKtgA8qjqs8soQ8j1JL1qirv2PboC6oakSlkxN5pXJsqCCqf2PK6/0QOTTucHKIyBLYQ/jRqpr06lKTyBJySKjqk9gPy62S3FKPYQ8Nz2L7QrchTT/cvrQAbgHewrZuVUoPYEyE7lw5U5AliCbZVULiEnLAVcAG4sm2VYqnZPJEXo4I+8YdT2io/oz9blyCyNZxhyMigi2KeUhVR8cdT7VIduJIH4OAtiR5JEKkEybeegHYD9WpMUdULoOw8uZxxXYbl0h3oi9XJ98UxExv2gFlGaw0kXJK1gSz4ucS4+KJ+eKZJ/K6usZEXp9gDmn3Y25YcTIIWI6YVfbVJkvIIaKqM7FSz0EickDc8dRDZE9srOlcVAelRryVw5dewNHAPjiVG3iIJ0sCGwLPV3qtMkmDoGsZ4KeIfkbKPSGDVaPaYMtOYkeVd6hFkZdV/i4AxiCyaBwhiMje2C7nfVQjM+6JhSwhh0wwn9wLGCkim8QdD5ATb50OXA/0RPXOuEMqG186YfH3xtHvQrrqHsDz6mrUi8yz/vH8fA8sE2zpKolg8cQZwAXilf6+alKTIi9jBPAK4BPxeKfYOOZ1wN6qof3eJ5YsIVcBVX0f+CfwkJjZRnyILIglskMw8dZrscbTFHxZAngY6Iejb4R45TjGnSBLyPPj6EysNL5Mme98CrPePCzskCqgFkVeim24WwQT1EVCIJB9BDhZVd+K6r5xkiXkKqGqD2DbaR4UUzRHj8hSmNHHUph463+xxFEJdmq6B3gER28L67LiSStgN6J158qRhpJ1lCdkaELZOm/xxBDxZJGqRFUmNSzymonZ6fZC5PBq307sIHE/cLemaRyzQrKEXF3Ow8pxVwcqwegQWQ8Tb70K7INWZJwRJ5cAc7AP3jDZBvhM3VjKYGk4IS9D9Am5ZGFXDnX1Texn/JTQI2oiNSzy+gVTXl+IVF3h/m9gCibmajZkCbmK5C2h2BQ4ObIbi+wBjAU8VM9KnXgrhy+HYWXlA5uw27gYcZiB5EjLCTnKXc3fUr6wK8c5QL9ApJcIApHXacDDNSbymoB5+N+LyBrVuIWIHAdsDxxUK0sjSiVLyFVG7WTaEzhTRHat6s1MvHUKZvixNxpeiTdyfNkCOx33xNFfq3CHuPrHkI4TcuJL1jnU1c+Ae7GNUIlBlTuwn7HaEnmZf/RQTHndLsxLi0hXzBp1L1WdEua100CWkCNAVb8CDsCcvDasyk1sbvQa4EhgK1Rfqcp9osCXFbB1ikfihL90XDzpgAlU3gv72kXvLSxIZgpSiLJmkQtwHnCYeInbVDSQWhN5AaiOwqpwd4elvBaRjphexFHVz8O4ZtrIEnJEqOqL2IL1x0Rk9VAvLrIk8DR2wtgaewBIJ760Bh4ErsGpmiNPd+DRKN258liRpJuCGKk5IQOoq99jazgTZcpTsyIv41TMdvaSSi8kIisDTwD9VCu2w00tWUKOEFW9F7gIeCo0z2uRdYFxwJtAL1T/COW6cWC7ja8B/gcMq+KdepCVq4uRqoQccCmwm3iyQQjxhEYNi7xyDxt7InJUUy8jdqB4CrhCVe8IK7w0kiXkiFHVEVi/6zGpdOeo9aRfBIajOpD0CyBOATYGDg/JFrMe4sniwCaYY1kcJF/QZSXIJYAfI7xrpSVr1NUp2INcZLOypVLDIq9fsQfcYVj/tyxEZBFMXPmoql4ecnSpI0vI8XAutl3ogWDerjxMvHUicCvQG9WbQ44venzZGfOp7YlTVX/t3YGx6uq0Kt6jhUZTeQAAF4BJREFUMdJwQl4K+I1o19v9DCwatCwq4VpgXfFkhxBiCpU8kdddNSby+hTbGnc3ImuW+jYx3cu9wKfUuEd1qWQJOQbUnG/+CUwHbiprO5T9EI8K3t8F1ZeqEmSU+LImcCc23vRVle8W57gTpOGEHH25Ghydg7luLV/JZdTVv7ExqEQsnijAAGBBak/k9Rymjn4UkfbFXh74MlyH5aCjNK2jmSGTJeSYCJZr9wFWAy4tyTjE9oE+AayKJeP/VjPGSPBlUcwez8PRsdW8VeB5vDvmNxwXaTghR5+QjYrL1gH3AC2xRS+JQpVZ2MRF7Ym8VK/BnAHvQYr6iw8H1gP2C5byZJAl5FhR1b+AvYBdsSfnhhFZBxNvvQ/sRS3M6Nlu49sxp6WrI7jj1sB/1dVvI7hXQ2QJuWHCEHahruac3YYHFqmJomZFXsbpgACXNfQCMa+EvYE9NX3rX6tKlpBjRs2ObnfgOBE5vuCLRHYGXgIuQrVfDYi3crhYv/LEaom46hCnGUiOrGTdMKEkZAB19Rnga2wuP3HUsMgrVwHYFZFj6/6zmBq7H7Cbqv4UdXhJJ0vICUBVvwF2As4QkWPm+0ezkbsD2B/VG2MIrzr40hs4HFun+HdEd421f5yZghQlrJJ1jjOAweJVOM1QJWpY5PUb9rvmIbJj7q/FllIMAXZS1a9jii7RZAk5Iajql8BOLWHIiIUX/paWLWex6KI/YyWgrVF9IeYQw8OXDbB5471xNJIPfvFkbaAd8E4U92uAzBSkcUI7IQOoq+9gblKnhXXNKpATeQ2NO5BQMaetPsC9tGv32W0tWsxeRuS6E+FQVf0s7vCSSpaQE4Sqfv5OmzZTL1pwwRVuGTVqAc45Z3HatZuF6hdxxxYaviyF7TY+BUffjvDOOXeuONWcaegfQ7wJOcwTMti2oFPEC8mIJ2TyRF59RNgv7nhCRfV5Fl10ht+t21pnLrtsi/+cdlqLEe3aXRl3WEkmS8gJY/3p01d/duxYBp1/PjcvtpgwderacccUGv7cucP7cNSP+O7diXfcCSwhJ71/DPGWrEM7IQOoq18CPgle45cn8rpKhPXjjidM7vjzz+X6v/ACTz/zDB3PP78FU6d2iDumJJMl5KTRps3EdZ95Zs5zjz7K4DPP5IqWLZPebyyHy4AZRLyVRzxpD3QGno3yvgVYmeyE3BhWsvZDnx8eCvQVrzrrAsMgT+T1UK2IvETk0H4w5xnHmdNpjTVg5Mg5tGkzMe64kkyWkJPGlCk9GDZsQofNNpv91KxZnw+YMQMR+WfcYVWML0cCuwF9cCJXie8OvKSu/hXxfeuS/JK1mdQsTbS7kHPkfNhDXemnrk7GFt4n2oyjlkReInIEMGxf1T063nDDBNq1m82wYROYMqVH3LElmSwhJw3VL/n9947MmtVyvT//XHsWbIvtUj4l7tCajC9dgAswW8zfYoggCeNOkI6RpyWAP9DIlO/zsNG30MvWAZcDO4gnG1fh2mGSepFXcIDwgB1HqT6b+zzj9987YuLVjAbIEnLCCdTXXYHjRWRYSY5eScKXlYD7sIURE6K+feDOtQfxunPlSP4JOb5ydY5QldY51NU/sRNy4hZP5JNmkZcYg7GHiq5qHtcZZZAl5BSgtt94G2AX4HopbkuXDHxZGHgIGIGjcSXELYH/U1eTcDJNg6gr7oQc9ixyPjcAa4gnO1fp+qGQRpGX2IawUZgD19ZaS5MhEZIl5JSgqj8CO2JlzweCtWXJxZ9rHv8FtgM6LuJeJgHMNQVZkswUpBhVOSEDqKszMUHhReKVsdAlBgKR16mYyGuJuONpDBFpjfmHdwC2V9XvYw4ptST6hzJjflT1TyzB/AE8LbZsIqmcDnQEjojIFrMhktI/XgH4PjMFKUrVEnLA/cBsYP8q3iMUVLkTGI093iZS5CW22elJYA7QTWvBYz9GsoScMtTENocArwMvichKMYdUH192A/oDvXDiUzYHYy5LAm/FFUMeaRB0QfwJuZola9RVxSw1h4nXhF3k0TOQhIq8RGR54AXgI6CPqs6IOaTUkyXkFKKqc1S1H3Az8IqI/CPumObiy9rAbcD+OPq/mKPpDjwWsztXjjQIuiD+hFztEzLq6vPAp8AxxV4bN0kVeYltn3sFE2yepLWz8CZWsoScYlT1UuBcYKyIdIk7Hnxph5XYBuPoS3GHg5X3k1CuhuyEXCpVT8gBZwKDxJNFI7hXRSRN5CUinbGT8XBVHaYaa0uqpsgScspR1duAw4CHReTQ2AKx3cZ3AmNx9NrY4ggQT9oBWxC/O1eO7IRcGpOA5YOfp6qhrr4PPI2tAkw8SRF5iUgf4HHgWFW9Ia44apUsIdcAqvoENqt8rohcFtNY1HlAeyApBia7Aq8E86dJIA0jTxB3QnZ0BjAF25NdbQYDJ4kny0Vwr4rJE3lF7uQlIguIyAXAcGx94ugo799cyBJyjaCqnwCbAxsCj4rIYpHd3Jf9gb7AvhHuNi5GIsad8ki+j7WZzixD/KNZkZSt1dWvgFuxtk9aGAi0JEKRl4i0wza0bQV0VtUPorp3cyNLyDWEqv6C+TZPBF4XkepvVvFlI3KGAI7G4X9cD/FkAaAbyUrIaShZLwZMR3V6zHFUVWldh+HAAcG+7MQTiLwOJCKRl4isBYzDqju7qOpP1b5ncyZLyDWGqs5S1VOAi7GxqD2qdjNflsaenE/E0Xerdp/y2QL4Tl39Ou5AYD5TkKQbJsTdP84RlbALdfUnzOc6cWNFDRGVyEtEdsaU1CNU9XhVnVmte2UYWUKuUVT1RszG7kYR6Re6B7btNr4f8HH0nlCvXTlJMQPJkZmClMckojshg22C2kY86RzhPSuimiKvwJP6ZOB2YH9VvTrM62c0TJaQaxhVfQXzcu4L3CoibUK8/BWYY1gS+29J6x9ngq7yqNbGp4Koq1Ox7UQXiZee5S3VEHmJyMKY5/dRQBdVfSGM62aURpaQaxxV/R+2mALgTRHpVPFFfTkG89U+KIbdxo0inqyGJZY34o1kPpIv6DKSkpAjK1nncVNwz10jvm+l5ERewyq9kIish/3eLIwl4/9Wes2M8sgScjNAVaeq6iHYkofnReSYJpewfdkW67f1xNHfQwwzLLoDj6ubqAeFNAi6IFkJOcqSNerqLOAsUrB4Ip88J68DRJrmzx2UqA/HzD6uAA4KfPMzIiY1P3gZlaOqtwLbAicAdwfG8KXjyyrAvcAhOInddZq0/jFkLl3lEmnJOo+HgWmAE8O9m4wqP2Eir1HlirxEZFGsV9wf2EFVb8yct+IjS8jNDFWdgPWVfwHeEZHNSnqjL4tgu40vx9Enqxdh0wlsELtgDkxJIjshl8dkYPFAOBgZeYsnhoonC0V570pR5V3KFHmJyEbA28B0bL74oyqGmFECWUJuhqjqNFU9DvPzfVxETmu0hG27jW8AxgOXRhNlk9gZGKeu/hF3IHXIRF3lYLqEycDyUd9aXX0R+BA4Lup7V0qpIq+gRH0C8AwwRFWPUo1vK1vGPLKE3IxR1fuw03If4BERWbKBlw4E1gGOjnm3cTGStEwin0zUVT5xCLtynAWcJV6ZLZ1k0KjIS0QWBx4AjsSEW36EsWUUIUvIzRxV/RJTYX8KfCgiPed7gS/dMH/qXjg6LfoISyMQ4uxJssad0mMKkhzbzByxJWR19SNsgcKAOO5fCY2JvERkT+z0/w2wlap+FkOIGY0QxxKCjIShqn8D/UVkNHDTEm3liPFXtO2wbJtpa9GyDcya2gdHk37C6wz8qG7iRjXSYgrSFlBUp8YdSECU9pmFGAy8J56MUle/izGOslHlJxH2AZ4WYQJ85cDqywHbA4eo6n9iDjGjAbITcsZcVPVFYMN9tmi1zcZnS4dHFvIXoOO5Qqt2Q+KOrQSSZgaSIxN0NY04S9aoq/8H3AgMiSuGSghEXqfAA0/BNmcAU4H1s2ScbLKEnDEfqjr1hqPmtL/7nvvpN/Bs+g57t8XPv/1Z/SUVlZPEcSfIRp6aSqwJOeBCYB/xZN2Y4ygb2/a2zQDovxzcBujxoP3jjiujcbKEnFGflm0mbrfse3Pef/s1lmjxjf6jv2q93nKCEE9Wwcqb4+KOpQDZCblpxF2yRl39BbiEEFywokREugEfwiuvwleLwo6oIqrpPO03J7KEnFGfmVN68PGwCW0eX372lT0/HN95De0LXCYid4hIFIvjy2VP4ImEuXPlyEaemkYSTsgAI4DNxZMt4w6kGCKyuIjcjK1DPVRVTwgct7yYQ8sokSwhZ9TH0S/Z7/eO9JnVkv1+7/jYu3oPsCHwI/CxiBwrIqGY2YdEUsedIBt5aiqJSMjq6jTABS5O6uIJEWkhIkdiPgH1esXZyTg9ZAk5oyQCP+zTMPP9vsDrIrJFzGEhnrTBxraS5s6VIytZN41fgYXwQ91Q1lRuw0bXusUdSF1EZFPgVWw7UzdVPTHzoU4vWULOKAtVfR/YDtsh+5CI3CAiS8cY0s7AG+omctEFZKKupmEGNEk5Jc/CXO0uFC8ZlSERWVJErgEeA64FtlbVd2IOK6NCsoScUTZq3A78A9uJ/LGIHB9TGTup407pMQUxkpWQjci3PjXCo8BvwMFxBhGUp48GPgFmAf9Q1ZtVdU6ccWWEQ5aQM5qMqv4elLF3Ag4E3hCJTvyS586V1P7x8qTDFASSmZDj2vpUj7zFE+eJJwvHEYOIdMYmCQ4DdgvK07/GEUtGdcgSckbFqOqHmAvQ5cADInK7iKwewa03BX5TV7+I4F5NIS2CLkhmQk5EyTqHuvoqth3phCjvKyKrBOrp0ZiCeltVfS/KGDKiIUvIGaEQlLHvBNYFvgDeEpF/i8gyVbxtUs1AcqRj5ElkEaAVMCXuUOqQpJJ1jrOBM8STxat9IxFZSkQuB97FqgXrquqtWXm6dskSckaoqOofqjoE6y8DjBeRIcEi9LBJbP84IC0nZDsdJ28xfWJK1jnU1fHAw1j5uiqISFsRGQRMABYCOqrqINX/b+/+Y62u6ziOP1/3CgaXa5JkA1HZBZW0zBBRSdOapihSbFiG5SwVyzltTY3ljHs1M5ubbZrLHK45ZbO7FZOp5KwoNGeDi+YsufLDZoqSKAGX3C7cd398vpd7IexeuOfc8/leXo/t7Fx2D9/zuVz2fZ3v5/v+vD/ZFi5ahTiQrSoiYmNEXA9MBZqAVyVdL1Vm43e16AjgaNKSj1x5ydPAZDVl3UszcJVaNL6SB5U0vNin+FXgeOC0orlHGYoCrQIcyFZVEbE+Ii4jrV8+F1gt6bIKVGTPBJYWS1JyVY4p63wDuebtM/cmFsQbwC+o0MYTReX0XFJjj5mk9cRzI2JNJY5v5eFAtkEREX+NiJmkZSNXAy9KulTS/m4Bmvv9YyjblHV+NgDjWJRlh6w7gVlq0fH7ewBJ9ZIuge6dmbgiImZExKpKDdLKxYFsgyoilpM6a90AzAPaJX1b0of6ewy1aCSpqntpdUZZMb5CHoi50QG8D1S9gGpfxYLYTNoN6o59/buSDpY0D1gNXEsqFDstIpZVdJBWOg5kG3RFRfbSiDiL1IZzBrBe0vckHdKPQ3weWFmcFLNUNAUZg5uCDFSW09aF+4CT1KIz+vNiSY2SbgDWAV8CvhERZ0TE45FfQZ3VgAPZaioi/hwRs0j3mD8JrJN0ex/LpXLeTKLbWOBtNwUZsFwLu4gF8T5wC3Dn/9t4oli+dCspiKcCF0bEBcVskdkuDmTLQkS8FBFfA6aRpihfkXSPpKberytOfDPJe7kTlKeHNTiQB+IRoBGYtec3JE2Q9FOgnfRvfHpEXOKmHvZBHMiWlYhYFxHXkJZ9dJB2lXpC0syiMvvTwMGxINprOtC+lWXJE+QdyDlPWVPswT0fuEMturWomJ4haQmwAugEPhERV7tq2vriQLYsRcRbETEfOAp4lDQ1uJZfcycdHFbb0fVLWQq6IO9Azv0KGeBJtvIez3ILaQ3xD4HfAEdFxI0R8WZth2dl4UC2rEXEf4p2gacyh6eo5xzuAZ2o0GwtlLJcEgNlWfKUqttHkvYfzlGO7TMBUHIqC1nFz5jORuBKmljAkoh4MCK213qMVi4OZCuNaI150RbiOuAlvstiPguskjSvn9XZg6ksV8iHAxszbJvZLbv2mUW19BWkKelFvM7DvM8YZkM8EIrmaK7xEK2kHMhWPiNpiYi7geOAG4HzgdclPSrpIknDaztAoCxXyHlPV0MmU9aShkm6UNIi0getWcDNwDERcVdEbAJaajpIKz3l+8HYrP8kHQZcDFxK2nGqFXgYeK4Wazwl3gSmRWQeytJM4BoiLqj1UPZqkYYB24ERzB3cNqnF7ZBppLXyXwHWkP5P/Soi3hnMsdiBwVfINiRExKaI+HlEnAmcQro6XQiskXSbpMmDNRaJYaSmIBsG6z0HIO8r5LnRCWwiTa0PCknHSGomFWg9BGwkLVmaHhH3OYytWhzINuRExGsR8SPS0qmLSUVLv5e0QtJ8ScdXuRhsHG4KUklVnbYuirMmS7pJ0vPAcuBQ4BLSHsS3RcTaar2/Wbf9bexvlr1iqroNaJN0E/A54IvAk0BnsVb0MeCZiOis4FuXpaALUiC/VutB9KG70npFpQ5YbGryGVLXt1nACFL3tx8Av4vIehcxG6IcyHZAiIidwNPA05KuA04knYh/AkyU9CQpnJdWYCP4shR0QQrk52s9iD5UpNK6qMQ/j/R7v4D0QeQx0v3hF9xP2mrNgWwHnOLE+2LxuE3SEaR2nF8HHpD0F+C3wB9IJ+p9vVpyl67K2q8p66Kz26dIMyNfAE4HniWF8PcjoiyzGHaAcCDbAS8i3gDuB+6X1ACcC5wD/BIYL+kZUjgvIwV0X/eGxwP/qNqAK6sMgfwGML2vFxUBfCJwNimEzyQV1i0j/X7nRMTWqo3SbIAcyGa9REQHsLh4UOw6dRbpJP9NYJyk5aST/DLgxb0E9JGkK7EyKEMg7/UKWVId/xvAb5N+L48AV0VE7j+b2S5eh2y2DyR9jJ6APpt0NbwKWFk8VsCOh6D+pQiurNU4+0W71vgeTERXrYezV4vUxEGNT3V1dkx8+a0Ray6/t+Pettc4EjgZmELPFfAy4I8RUYalZmZ75UA2G4CiIckUUkCcDEyFUUfDFMGf7iZVBq8EXo3cQi/dO19BxNhaD6W34sp3EnDyt84dds8rm488rG31O4weVcfHD9+6dekLO39M8QHIa4JtKHEgm1WQRDNsWpBWW60EWv8GbSNIjUJWk/bG7X5uJwV1be5rSlOAB4k4qTZvrwbg2D0exxWP94AVt39Zs6devrhuyinTGXPoSGg9ZCdf3eFbbTYkOZDNqkAiIlDPnzWaFDR7hs8kYDM9Ad0OrCXdN90AvFXhNdK9BzkD+A4R51Xn8BpGukc9DhgLTGT3n/8jpHaUvT+gtAOrI+JdAFo//DIn3DyZY6+to/3eLl6+/RUu/vcJ1RivWa05kM2qQKI5gua+X6c6UtOL3iHdRAqwccBHSYG9gZ6Q7v31u8A2YGvx2AZs63N6XGqisXE527ePpaHh72zZchER6/oYZwPQWDxGFc+j6Qncsb2+Hld8b2OvMa9j9xmCf/Y5zkVqYtghS9jRcRwHNaymc8tFzP3gcZqVmQPZLGPFUp4x7B50vcNvNLsHZCOpVeh2egK6+3kHsBPoOqu+fnrDpEmjmDCBrvXr6Vi7tmP5zp3PAfWk1RejPuCYe4b/e/R8ONjz+V/9WCJmZgUHstkQs8fV7KhezweR+tfXPV5X90S0ttbF8OHUd3aiOXO6ZnR1nQ90kYJ7G7uH73aHq1l1OZDNzMwy4N2ezMzMMuBANjMzy4AD2czMLAMOZDMzsww4kM3MzDLgQDYzM8uAA9nMzCwDDmQzM7MMOJDNzMwy4EA2MzPLgAPZzMwsAw5kMzOzDDiQzczMMuBANjMzy4AD2czMLAMOZDMzsww4kM3MzDLgQDYzM8uAA9nMzCwDDmQzM7MMOJDNzMwy4EA2MzPLwH8BIeoZqWhLGAoAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#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", "#Placage du premier rayon de queue côté cassette\n", "imax=int(n_r/4)\n", "for i in np.arange(imax) :\n", " x_r=[x[i*4],x_ib[(i*2+4)%len(x_ib)]]\n", " y_r=[y[i*4],y_ib[(i*2+4)%len(y_ib)]]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0]]\n", " d_r=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' %d_r)\n", "\n", "\n", "# placage des rayons de queue côté disque\n", "#imax=int(n_r/4)\n", "for i in np.arange(imax) :\n", " x_r=[x[(i*4+1)%len(x)],x_ia[(i*2+3)%len(x_ia)]]\n", " y_r=[y[(i*4+1)%len(y)],y_ia[(i*2+3)%len(y_ia)]]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0]]\n", " d_r=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' %d_r)\n", "\n", "#Placage des rayons de tête côté cassette\n", "#imax=3\n", "for i in np.arange(imax) :\n", " x_r=[x[i*4-1],x_ib[(i*2-3)%len(x_ib)]]\n", " y_r=[y[i*4-1],y_ib[(i*2-3)%len(y_ib)]]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0]]\n", " d_r=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' %d_r)\n", "\n", "#Placage des rayons de tête côté disque\n", "#imax=3\n", "for i in np.arange(imax) :\n", " x_r=[x[i*4-2],x_ia[(i*2-4)%len(x_ia)]]\n", " y_r=[y[i*4-2],y_ia[(i*2-4)%len(y_ia)]]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0]]\n", " d_r=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' %d_r)\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": true, "hidePrompt": true }, "source": [] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "23.3\n", "35.2\n", "longueur des rayons de queue côté cassette : 273 mm\n", "longueur des rayons de queue côté disque : 261 mm\n", "longueur des rayons de tête côté cassette : 252 mm\n", "longueur des rayons de tête côté disque : 246 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(ec_a)\n", "ec_b=K/2-K_b\n", "print(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*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", "#Placage des rayons de queue côté cassette\n", "imax=int(n_r/4)\n", "for i in np.arange(imax) :\n", " x_r=[x[i*4],x_ib[(i*2+4)%len(x_ib)]]\n", " y_r=[y[i*4],y_ib[(i*2+4)%len(y_ib)]]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0]]\n", " d_r=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' %d_r)\n", "\n", "\n", "# placage des rayons de queue côté disque\n", "#imax=int(n_r/4)\n", "for i in np.arange(imax) :\n", " x_r=[x[(i*4+1)%len(x)],x_ia[(i*2+3)%len(x_ia)]]\n", " y_r=[y[(i*4+1)%len(y)],y_ia[(i*2+3)%len(y_ia)]]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0]]\n", " d_r=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' %d_r)\n", "\n", "#Placage des rayons de tête côté cassette\n", "imax=1\n", "for i in np.arange(imax) :\n", " x_r=[x[i*4-1],x_ib[(i*2+1)%len(x_ib)]]\n", " y_r=[y[i*4-1],y_ib[(i*2+1)%len(y_ib)]]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0]]\n", " d_r=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' %d_r)\n", "\n", "#Placage des rayons de tête côté disque\n", "#imax=3\n", "for i in np.arange(imax) :\n", " x_r=[x[i*4-2],x_ia[(i*2-2)%len(x_ia)]]\n", " y_r=[y[i*4-2],y_ia[(i*2-2)%len(y_ia)]]\n", " vec_r=[x_r[1]-x_r[0],y_r[1]-y_r[0]]\n", " d_r=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' %d_r)\n", "\n", "\n", "ax.set_axis_off()\n", "ax.set_xlim(-radius, radius)\n", "ax.set_ylim(-radius, radius)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "hide_code_all_hidden": true, "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 }