diff --git a/module2/exo4/spokes_calc.ipynb b/module2/exo4/spokes_calc.ipynb index 9f4881f31a3db559b65d250e10dd2a1a58df1aad..92b95c306bea72a3e26d9f17e262e6ab34ba4798 100644 --- a/module2/exo4/spokes_calc.ipynb +++ b/module2/exo4/spokes_calc.ipynb @@ -2,7 +2,10 @@ "cells": [ { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "source": [ "# Montage de roues\n", "\n", @@ -39,7 +42,10 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "source": [ "## Gravel Agathe\n", "### Mesures roue avant Gravel Agathe\n", @@ -51,7 +57,10 @@ { "cell_type": "code", "execution_count": 1, - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "outputs": [ { "name": "stdout", @@ -102,7 +111,10 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "source": [ "### Mesures roues arrière Gravel Agathe" ] @@ -110,7 +122,10 @@ { "cell_type": "code", "execution_count": 2, - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "outputs": [ { "name": "stdout", @@ -149,7 +164,10 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "source": [ "## VTT 27.5 Agathe\n", "\n", @@ -164,7 +182,10 @@ { "cell_type": "code", "execution_count": 3, - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "outputs": [], "source": [ "D_iR=545\n", @@ -173,7 +194,10 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "source": [ "### Roue Avant VTT 27.5 Agathe" ] @@ -181,7 +205,10 @@ { "cell_type": "code", "execution_count": 4, - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "outputs": [ { "name": "stdout", @@ -225,7 +252,10 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "source": [ "### Roue Arrière VTT 27.5 Agathe" ] @@ -234,6 +264,8 @@ "cell_type": "code", "execution_count": 5, "metadata": { + "hideCode": true, + "hidePrompt": true, "scrolled": true }, "outputs": [ @@ -275,7 +307,10 @@ }, { "cell_type": "markdown", - "metadata": {}, + "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" @@ -283,7 +318,10 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "source": [ "## Rayonnage de la roue arrière" ] @@ -291,7 +329,10 @@ { "cell_type": "code", "execution_count": 6, - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "outputs": [ { "data": { @@ -342,7 +383,10 @@ { "cell_type": "code", "execution_count": 7, - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "outputs": [ { "data": { @@ -401,7 +445,10 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "source": [ "Plaçage du rayon maître" ] @@ -409,7 +456,10 @@ { "cell_type": "code", "execution_count": 8, - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "outputs": [], "source": [ "x_r1=[x[0],x_ib[0]]\n", @@ -422,7 +472,10 @@ { "cell_type": "code", "execution_count": 9, - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "outputs": [ { "name": "stdout", @@ -485,7 +538,10 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "source": [ "tableaux de correspondance\n", "\n", @@ -499,7 +555,10 @@ { "cell_type": "code", "execution_count": 10, - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "outputs": [ { "data": { @@ -538,7 +597,10 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "source": [ "Plaçage des rayons de queue côté disque\n" ] @@ -547,6 +609,8 @@ "cell_type": "code", "execution_count": 11, "metadata": { + "hideCode": true, + "hidePrompt": true, "scrolled": false }, "outputs": [ @@ -617,7 +681,10 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "source": [ "Plaçage des rayons de tête côté cassette" ] @@ -625,7 +692,10 @@ { "cell_type": "code", "execution_count": 12, - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "outputs": [ { "data": { @@ -708,7 +778,10 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "source": [ "![roue_rayonnee](http://mgagnon.net/velo/images-tech/roue_montage36.gif) " ] @@ -717,6 +790,8 @@ "cell_type": "code", "execution_count": 13, "metadata": { + "hideCode": true, + "hidePrompt": true, "scrolled": false }, "outputs": [ @@ -810,7 +885,10 @@ }, { "cell_type": "markdown", - "metadata": {}, + "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", @@ -827,7 +905,10 @@ { "cell_type": "code", "execution_count": 14, - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "outputs": [ { "name": "stdout", @@ -887,15 +968,21 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "source": [ "## Rayonnage de la roue avant" ] }, { "cell_type": "code", - "execution_count": 15, - "metadata": {}, + "execution_count": null, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "outputs": [], "source": [ "# 28 trous\n", @@ -908,11 +995,13 @@ "D1_b=45\n", "\n", "n_ca=2\n", - "n_cb=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", @@ -937,34 +1026,12 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": null, "metadata": { - "scrolled": false + "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" - } - ], + "outputs": [], "source": [ "#fig, ax = plt.subplots()\n", "fig = plt.figure(figsize=(8, 8))\n", @@ -982,7 +1049,7 @@ "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", + "#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", @@ -1006,8 +1073,8 @@ "#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", + " 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", @@ -1032,7 +1099,10 @@ }, { "cell_type": "markdown", - "metadata": {}, + "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", @@ -1049,7 +1119,10 @@ { "cell_type": "code", "execution_count": 17, - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "outputs": [ { "name": "stdout", @@ -1070,7 +1143,10 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "source": [ "#### Rayon de queue côté disque :" ] @@ -1078,7 +1154,10 @@ { "cell_type": "code", "execution_count": 18, - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "outputs": [ { "name": "stdout", @@ -1100,7 +1179,10 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "source": [ "#### Rayon de tête côté cassette :" ] @@ -1108,7 +1190,10 @@ { "cell_type": "code", "execution_count": 19, - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "outputs": [ { "name": "stdout", @@ -1130,7 +1215,10 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "source": [ "#### Rayon de tête côté disque :" ] @@ -1138,7 +1226,10 @@ { "cell_type": "code", "execution_count": 20, - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "outputs": [ { "name": "stdout", @@ -1160,7 +1251,10 @@ { "cell_type": "code", "execution_count": 21, - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "outputs": [ { "name": "stdout", @@ -1253,7 +1347,10 @@ }, { "cell_type": "markdown", - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "source": [ "### Vérification des longeurs de rayons\n", "\n", @@ -1270,7 +1367,10 @@ { "cell_type": "code", "execution_count": 22, - "metadata": {}, + "metadata": { + "hideCode": true, + "hidePrompt": true + }, "outputs": [ { "name": "stdout", @@ -1299,9 +1399,272 @@ "print(ec_a)\n", "ec_b=K/2-K_b\n", "print(ec_b)\n", - "d_tr=2.6" + "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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\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", + "text/plain": [ + "
" + ] + }, + "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, @@ -1311,6 +1674,7 @@ } ], "metadata": { + "hide_code_all_hidden": true, "kernelspec": { "display_name": "Python 3", "language": "python",