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{
"cells": [
{
"cell_type": "markdown",
"id": "f45872db-31be-4721-8d5c-d52fc2dd94e6",
"metadata": {
"tags": []
},
"source": [
"# Proyecto servilleta Urrea"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "68621e4a-5858-418e-a497-9c0723d19fdf",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd \n",
"import matplotlib.pyplot as plt\n",
"from scipy.interpolate import interp1d\n",
"from scipy.optimize import curve_fit "
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "038be6cc-f4ec-48b5-b096-197670d78fa3",
"metadata": {},
"outputs": [],
"source": [
"##Importando datos de la servilleta abierta## o A\n",
"Abierta1 = np.genfromtxt('Abierta1.txt')\n",
"Abierta2 = np.genfromtxt('Abierta2.txt')\n",
"Abierta3 = np.genfromtxt('Abierta3.txt')\n",
"Abierta4 = np.genfromtxt('Abierta4.txt')\n",
"Abierta5 = np.genfromtxt('Abierta5.txt')\n",
"Abierta6 = np.genfromtxt('Abierta6.txt')\n",
"Abierta7 = np.genfromtxt('Abierta7.txt')\n",
"Abierta8 = np.genfromtxt('Abierta8.txt')\n",
"Abierta9 = np.genfromtxt('Abierta9.txt')\n",
"Abierta10 = np.genfromtxt('Abierta10.txt')"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "9d29d82e-8347-4f5e-8f0f-0a69433c885a",
"metadata": {},
"outputs": [],
"source": [
"##Importando datos de la servilleta cerrada## o C\n",
"Cerrada1 = np.genfromtxt('Cerrada1.txt')\n",
"Cerrada2 = np.genfromtxt('Cerrada2.txt')\n",
"Cerrada3 = np.genfromtxt('Cerrada3.txt')\n",
"Cerrada4 = np.genfromtxt('Cerrada4.txt')\n",
"Cerrada5 = np.genfromtxt('Cerrada5.txt')\n",
"Cerrada6 = np.genfromtxt('Cerrada6.txt')\n",
"Cerrada7 = np.genfromtxt('Cerrada7.txt')\n",
"Cerrada8 = np.genfromtxt('Cerrada8.txt')\n",
"Cerrada9 = np.genfromtxt('Cerrada9.txt')\n",
"Cerrada10 = np.genfromtxt('Cerrada10.txt')"
]
},
{
"cell_type": "markdown",
"id": "517b8e0b-5af2-43b3-8051-f5a0e2edd1f6",
"metadata": {},
"source": [
"# Datos con la servilleta cerrada"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "01d366a4-aa15-4505-b094-8d3d81a86868",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[-1.76000e-02 -9.27200e-01 -1.72530e+00 -2.73180e+00 -5.24710e+00\n",
" -8.35330e+00 -1.10942e+01 -1.43130e+01 -1.77270e+01 -2.14640e+01\n",
" -2.57230e+01 -3.01140e+01 -3.47850e+01 -3.94950e+01 -4.48430e+01\n",
" -5.14280e+01 -5.61060e+01 -6.23540e+01 -6.80340e+01 -7.44880e+01\n",
" -8.22760e+01 -8.90620e+01 -9.70060e+01]\n",
"[0.0528 0.36117414 0.41425428 0.46544104 0.71276791 0.89129311\n",
" 1.30274179 1.66693761 2.20717489 2.10288944 2.40864298 2.46549873\n",
" 2.95639054 3.62039017 4.01766362 4.4452442 4.25858239 4.88988589\n",
" 5.28982268 5.42616218 5.00748879 4.02958013 4.90549325]\n",
"[0. 0.017 0.0334 0.0504 0.0674 0.0838 0.1008 0.1178 0.1342 0.1512\n",
" 0.1682 0.1851 0.2016 0.2186 0.2355 0.252 0.269 0.2859 0.3024 0.3194\n",
" 0.3363 0.3528 0.3698]\n"
]
}
],
"source": [
"# Obtener valores promedios de cada intervalo\n",
"tiempocerrada_prom = np.mean(np.stack((Cerrada1[:,0], Cerrada2[:,0], Cerrada3[:,0], Cerrada4[:,0], Cerrada5[:,0], Cerrada6[:,0], Cerrada7[:,0], Cerrada8[:,0], Cerrada9[:,0], Cerrada10[:,0]), axis=1), axis=1)\n",
"ycerrada_prom = np.mean(np.stack((Cerrada1[:,1], Cerrada2[:,1], Cerrada3[:,1], Cerrada4[:,1], Cerrada5[:,1], Cerrada6[:,1], Cerrada7[:,1], Cerrada8[:,1], Cerrada9[:,1], Cerrada10[:,1]), axis=1), axis=1)\n",
"\n",
"# Desviación estándar\n",
"desviacionEstandar = np.std(np.stack((Cerrada1[:,1], Cerrada2[:,1], Cerrada3[:,1], Cerrada4[:,1], Cerrada5[:,1], Cerrada6[:,1], Cerrada7[:,1], Cerrada8[:,1], Cerrada9[:,1], Cerrada10[:,1]), axis=1), axis=1)\n",
"\n",
"print(ycerrada_prom)\n",
"print(desviacionEstandar)\n",
"print(tiempocerrada_prom)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "72c699e1-7244-48c9-b858-b3887a7015e2",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x1d8104a9300>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"plt.errorbar(tiempocerrada_prom, ycerrada_prom, desviacionEstandar, fmt=\"*\", color = \"m\", label = \"Promedio Y y t junto con su desviación\")\n",
"plt.xlabel('Tiempo')\n",
"plt.ylabel('Distancia')\n",
"plt.legend()\n"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "a4c26b39-bef0-4fca-96c2-3b8ccdf66097",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure()\n",
"plt.plot(tiempocerrada_prom, ycerrada_prom, '-*c', label=\"Distancia vs Tiempo promedios\")\n",
"plt.xlabel('Tiempo')\n",
"plt.ylabel('Distancia')\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "d7c4c88f-6465-4215-b111-d0ac61a648a9",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Gravedad para Cerrada1: 813.8988790007623\n",
"Gravedad para Cerrada2: 985.2047761308604\n",
"Gravedad para Cerrada3: 804.3413190272219\n",
"Gravedad para Cerrada4: 799.2927304492948\n",
"Gravedad para Cerrada5: 999.0859832007077\n",
"Gravedad para Cerrada6: 1053.753243137534\n",
"Gravedad para Cerrada7: 925.1891269400807\n",
"Gravedad para Cerrada8: 1001.9658216863434\n",
"Gravedad para Cerrada9: 1287.1900700354086\n",
"Gravedad para Cerrada10: 973.3867958202842\n"
]
}
],
"source": [
"##Calculando las gravedades de cada matriz##,lo que hice fue meterlas en una lista para poder sacar el promedio\n",
"g_values = []\n",
"for i in range(1, 11):\n",
" # Carga de la matriz correspondiente\n",
" filename = f'Cerrada{i}.txt'\n",
" matriz = np.genfromtxt(filename)\n",
" \n",
" # Cálculo de la gravedad para la matriz actual\n",
" tiempo = matriz[:,0]\n",
" y = matriz[:,1]\n",
" Y= np.log(np.abs(y[1:]))\n",
" X = np.log(np.abs(tiempo[1:]))\n",
" \n",
" fit = np.polyfit(X,Y,1)\n",
" m, b = fit\n",
" g = 2*np.exp(b)\n",
" g_values.append(g)\n",
" print(f'Gravedad para Cerrada{i}: {g}')\n"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "a995cbaa-2a2b-4318-a728-0131f2b6ca89",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"El promedio de las gravedades es: 964.3308745428498\n"
]
}
],
"source": [
"##Nota de Sebastián Urrea: A este punto ya quería llorar de la alegría que la gravedad me diera##\n",
"##ESTA ES LA GRAVEDAD PROMEDIO##\n",
"g_mean = np.mean(g_values)\n",
"print(\"El promedio de las gravedades es:\", g_mean)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "7eb5cf1d-0015-4c5a-a7ca-e2aaf21d5960",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Desviación estándar de las gravedades: 138.6984372620307\n"
]
}
],
"source": [
"#Nota de sebastián: recuerde que esto está en cm/s, a la hora de escribirlo debe pasarlo a m/s^2##\n",
"desviacion_estandar = np.std(g_values)\n",
"print(\"Desviación estándar de las gravedades:\", desviacion_estandar)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "c27b5062-44cf-4087-bf52-6058b7625137",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"979.9999999999978\n",
"964.3308745428495\n"
]
}
],
"source": [
"\n",
"gravedad = 980\n",
"vi = 0\n",
"\n",
"# Calcular distancia teórica y experimental\n",
"yTeorica = vi * tiempocerrada_prom + ((-gravedad) * (tiempocerrada_prom ** 2)) / 2\n",
"ygExp= vi * tiempocerrada_prom + ((-g_mean) * (tiempocerrada_prom ** 2)) / 2\n",
"\n",
"# Linealizar los datos\n",
"ytLineal = np.log(np.abs(yTeorica[1:]))\n",
"ygExpLineal = np.log(np.abs(ygExp[1:]))\n",
"tiempoTeoricoLineal = np.log(np.abs(tiempocerrada_prom[1:]))\n",
"\n",
"# Ajustar una regresión lineal\n",
"ajusteT = np.polyfit(tiempoTeoricoLineal, ytLineal, 1)\n",
"ajusteTE = np.polyfit(tiempoTeoricoLineal, ygExpLineal, 1)\n",
"gravedadT = 2 * np.exp(ajusteT[1])\n",
"gravedadTE = 2 * np.exp(ajusteTE[1])\n",
"\n",
"print(gravedadT)\n",
"print(gravedadTE)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "e60922f4-3169-4268-9973-44f8e09e6fa6",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x1d810e31990>"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#Gráfica de los datos teoricos\n",
"\n",
"plt.figure()\n",
"plt.plot(tiempocerrada_prom, yTeorica, \"g-*\", label = \"Datos g=980\")\n",
"plt.xlabel('Tiempo')\n",
"plt.ylabel('Distancia')\n",
"plt.legend()\n"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "f8a86e24-91ab-4e80-845b-698d93c13b75",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x1d810edc970>"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"##Compración de las graficas con diferentes g\n",
"plt.figure()\n",
"plt.plot(tiempocerrada_prom, ygExp, \"k--\", label = \"Datos teóricos con g=964\")\n",
"plt.plot(tiempocerrada_prom, yTeorica, \"c--\", label = \"Datos con g=980\")\n",
"plt.plot(tiempocerrada_prom, ycerrada_prom, \"r--\", label = \"Datos experimentales\")\n",
"plt.xlabel('Tiempo')\n",
"plt.ylabel('Distancia')\n",
"plt.legend()\n"
]
},
{
"cell_type": "markdown",
"id": "449e97f8-6b55-415d-886a-cf3efd564df7",
"metadata": {},
"source": [
"# Datos con la servilleta Abierta"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "bf3ba07a-f0a1-4425-b4e1-764f5f52187f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[ 0.3599 -0.8599 -1.1514 -1.4636 -1.8153 -1.9933 -2.6356\n",
" -2.9955 -3.3084 -3.9506 -4.6643 -5.6083 -6.3003 -7.5092\n",
" -8.2855 -9.2578 -10.2873 -11.6424 -12.2741 -13.129 -14.7263\n",
" -15.7492 -16.9832 -18.3005 -19.9321 -21.5218 -22.5396 -24.0008\n",
" -25.3544 -27.474 -28.621 -30.259 -31.689 -33.482 -34.852\n",
" -36.675 -38.247 -39.304 -40.959 -42.824 -44.144 -45.861\n",
" -47.825 -49.225 -50.994 -52.286 -53.548 -54.57 -56.428\n",
" -58.17 -59.379 -61.207 -62.988 -65.015 -66.633 -68.639\n",
" -70.468 -72.11 -74.002 -75.15 -77.091 -79.187 -80.422\n",
" -82.208 -84.277 -86.68 -88.46 -90.537 -92.834 -94.933\n",
" -97.067 -100.508 -102.658 ]\n",
"[ 0.62847967 1.53654043 1.3558576 2.05707293 1.75402697 2.33026866\n",
" 2.07939973 2.31914559 2.11711413 2.59733376 2.97663572 3.26472085\n",
" 3.40833801 3.71047983 4.23854518 4.57116766 4.94883342 5.47228775\n",
" 5.65100454 6.36501859 6.65721269 6.95412725 7.82913176 8.69754289\n",
" 8.935164 8.46733141 8.89742285 9.07487354 9.12211808 9.32176185\n",
" 8.9874295 9.07001152 9.36542733 9.61003829 10.20428126 10.13360375\n",
" 9.88275372 9.84961542 10.16054078 10.03898222 10.41042766 10.59935418\n",
" 10.27719733 10.30359088 10.43011812 9.8369967 8.97386517 8.74544453\n",
" 8.90401797 9.06896245 9.22863744 8.95286887 8.72157302 8.25845657\n",
" 7.96936516 8.1246987 7.62756291 7.52771944 7.39748849 7.76240942\n",
" 7.22535321 7.38668403 7.58328662 7.54477011 7.32772004 7.56448676\n",
" 7.39120559 7.37576715 7.73318848 6.7618726 7.27412132 7.18015292\n",
" 6.71643179]\n",
"[0. 0.017 0.033 0.05 0.067 0.083 0.1 0.117 0.133 0.15\n",
" 0.167 0.1838 0.2 0.217 0.2338 0.25 0.267 0.2838 0.3 0.317\n",
" 0.3338 0.35 0.367 0.3838 0.4 0.417 0.4338 0.45 0.467 0.4838\n",
" 0.5005 0.517 0.5338 0.5508 0.567 0.5838 0.6008 0.617 0.6338 0.6508\n",
" 0.667 0.6838 0.7008 0.717 0.7338 0.7508 0.767 0.7838 0.8008 0.817\n",
" 0.8338 0.8508 0.8678 0.8838 0.9008 0.9178 0.9338 0.9508 0.9678 0.9838\n",
" 1.0008 1.0178 1.0338 1.0508 1.0678 1.0838 1.1008 1.1178 1.1338 1.1508\n",
" 1.1678 1.1846 1.2008]\n"
]
}
],
"source": [
"##DATOS CON LA SERVILLETA ABIERTA\n",
"tiempoabierta_prom = np.mean(np.stack((Abierta1[:,0], Abierta2[:,0], Abierta3[:,0], Abierta4[:,0], Abierta5[:,0], Abierta6[:,0], Abierta7[:,0], Abierta8[:,0], Abierta9[:,0], Abierta10[:,0]), axis=1), axis=1)\n",
"yabierta_prom = np.mean(np.stack((Abierta1[:,1], Abierta2[:,1], Abierta3[:,1], Abierta4[:,1], Abierta5[:,1], Abierta6[:,1], Abierta7[:,1], Abierta8[:,1], Abierta9[:,1], Abierta10[:,1]), axis=1), axis=1)\n",
"\n",
"# Desviación estándar\n",
"desviacionEstandarA = np.std(np.stack((Abierta1[:,1], Abierta2[:,1], Abierta3[:,1], Abierta4[:,1], Abierta5[:,1], Abierta6[:,1], Abierta7[:,1], Abierta8[:,1], Abierta9[:,1], Abierta10[:,1]), axis=1), axis=1)\n",
"\n",
"print(yabierta_prom)\n",
"print(desviacionEstandarA)\n",
"print(tiempoabierta_prom)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "d66d01da-cf1b-4d90-be5a-0c84ba0def8b",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x1d8105928c0>"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#Gráfica de los datos promedio\n",
"\n",
"plt.figure()\n",
"plt.errorbar(tiempoabierta_prom, yabierta_prom, desviacionEstandarA, fmt=\".\", color = \"y\", label = \"Promedio Y & t con su error\")\n",
"plt.xlabel('Tiempo')\n",
"plt.ylabel('Distancia')\n",
"plt.legend()\n"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "a496e892-fafd-4dff-bee1-ee722cb87b87",
"metadata": {},
"outputs": [],
"source": [
"##CALCULANDO LAS CURVAS EXPERIMENTALES Y TEORICAS con diferentes B \n",
"v0 = 0\n",
"t0 = 0\n",
"dt = 0.017\n",
"t1 = tiempoabierta_prom[len(tiempoabierta_prom)-1]\n",
"tTeorico = np.arange(t0, t1, dt)\n",
"vT = [v0]\n",
"yFT = [0]\n",
"vTE = [v0]\n",
"yFTE = [0]\n",
"bT = 2.372\n",
"bTE = 2.39\n",
"\n",
"for i in range (len(tTeorico)):\n",
" aceleracionT = -gravedad + bT*vT[i]\n",
" velocidadesIntervaloT = vT[i]+aceleracionT*dt\n",
" distanciasIntervaloT = vT[i]*dt + aceleracionT*((dt**2)/2)\n",
" yFT.append(distanciasIntervaloT)\n",
" vT.append(velocidadesIntervaloT)\n",
" \n",
"for i in range (len(tTeorico)):\n",
" aceleracionTE = -g_mean + bTE*vTE[i]\n",
" velocidadesIntervaloTE = vTE[i]+aceleracionTE*dt\n",
" distanciasIntervaloTE = vTE[i]*dt + aceleracionTE*((dt**2)/2)\n",
" yFTE.append(distanciasIntervaloTE)\n",
" vTE.append(velocidadesIntervaloTE)\n",
" \n",
"distanciaFinalT = yFT[:-1]\n",
"distanciaFinalTE = yFTE[:-1]"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "e13355ba-b833-45fc-9d9a-2bb564baf237",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x1d81062eaa0>"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"##ESTO ES UNA GRAFICA SOLO DE Y VS t\n",
"plt.figure()\n",
"plt.plot(tTeorico, distanciaFinalT, \"g--\", label = \"Datos teóricos con g=980\")\n",
"plt.xlabel('Tiempo')\n",
"plt.ylabel('Distancia')\n",
"plt.legend()"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "81e59fc2-d977-4f54-8859-7583029f672f",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x1d810e9e830>"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"##Grafica de comparación de los datos teoricos y experimentales con diferentes g y B\n",
"plt.figure()\n",
"plt.plot(tTeorico, distanciaFinalT,\"y*-\", label = \"Datos con g=980\")\n",
"plt.plot(tTeorico, distanciaFinalTE, \"m-\", label = \"Datos con g=964\")\n",
"plt.plot(tiempoabierta_prom, yabierta_prom, \"b--\", label = \"Datos experimentales\")\n",
"plt.xlabel('Tiempo')\n",
"plt.ylabel('Distancia')\n",
"plt.legend()\n"
]
},
{
"cell_type": "markdown",
"id": "d7077eb9-e178-41ce-a87d-d7436c8fc6ff",
"metadata": {},
"source": [
"A todas estas, el rozamiento es = k/MASA, la masa de la servilleta es de 0.533 gramos, por lo tanto, el rozamiento, en la parte experimental es de 1.274, y la teorica es de: 1.26."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "b1f88024-9dac-4647-8fd3-e1e419b35f69",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.10.9"
}
},
"nbformat": 4,
"nbformat_minor": 5
}