diff --git a/LabAvanzado1/EfectoFotoelectrico/code/fotoelectrico.ipynb b/LabAvanzado1/EfectoFotoelectrico/code/fotoelectrico.ipynb index 5a57e406f9d1b18373dbee70f05a0c25c123a42c..7e0f6b925848b2930d6447d6ce04890c0c305760 100644 --- a/LabAvanzado1/EfectoFotoelectrico/code/fotoelectrico.ipynb +++ b/LabAvanzado1/EfectoFotoelectrico/code/fotoelectrico.ipynb @@ -9,90 +9,9 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 6, "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "<div>\n", - "<style scoped>\n", - " .dataframe tbody tr th:only-of-type {\n", - " vertical-align: middle;\n", - " }\n", - "\n", - " .dataframe tbody tr th {\n", - " vertical-align: top;\n", - " }\n", - "\n", - " .dataframe thead th {\n", - " text-align: right;\n", - " }\n", - "</style>\n", - "<table border=\"1\" class=\"dataframe\">\n", - " <thead>\n", - " <tr style=\"text-align: right;\">\n", - " <th></th>\n", - " <th>lambda</th>\n", - " <th>U1</th>\n", - " <th>U2</th>\n", - " <th>U3</th>\n", - " <th>U4</th>\n", - " <th>U5</th>\n", - " <th>U</th>\n", - " <th>f</th>\n", - " </tr>\n", - " </thead>\n", - " <tbody>\n", - " <tr>\n", - " <th>0</th>\n", - " <td>405</td>\n", - " <td>1.334</td>\n", - " <td>1.318</td>\n", - " <td>1.265</td>\n", - " <td>1.320</td>\n", - " <td>1.325</td>\n", - " <td>1.3124</td>\n", - " <td>7.402469e+14</td>\n", - " </tr>\n", - " <tr>\n", - " <th>2</th>\n", - " <td>546</td>\n", - " <td>0.729</td>\n", - " <td>0.731</td>\n", - " <td>0.721</td>\n", - " <td>0.725</td>\n", - " <td>0.741</td>\n", - " <td>0.7294</td>\n", - " <td>5.490842e+14</td>\n", - " </tr>\n", - " <tr>\n", - " <th>3</th>\n", - " <td>578</td>\n", - " <td>0.565</td>\n", - " <td>0.563</td>\n", - " <td>0.559</td>\n", - " <td>0.560</td>\n", - " <td>0.560</td>\n", - " <td>0.5614</td>\n", - " <td>5.186851e+14</td>\n", - " </tr>\n", - " </tbody>\n", - "</table>\n", - "</div>" - ], - "text/plain": [ - " lambda U1 U2 U3 U4 U5 U f\n", - "0 405 1.334 1.318 1.265 1.320 1.325 1.3124 7.402469e+14\n", - "2 546 0.729 0.731 0.721 0.725 0.741 0.7294 5.490842e+14\n", - "3 578 0.565 0.563 0.559 0.560 0.560 0.5614 5.186851e+14" - ] - }, - "execution_count": 31, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# Importamos las librerias necesarias\n", "import numpy as np\n", @@ -119,21 +38,54 @@ "\n", "# Agregamos el promedio\n", "datos['U'] = datos[['U1', 'U2', 'U3', 'U4', 'U5']].mean(axis=1)\n", + "# datos['U'] = np.round(datos['U'], 3)\n", + "\n", + "datos['dU'] = datos[['U1', 'U2', 'U3', 'U4', 'U5']].std(axis=1)\n", + "# datos['dU'] = np.round(datos['dU'], 3)\n", "\n", "# Calculamos la frecuencia a partir de lambda\n", "datos['f'] = c / (datos['lambda']*1e-9)\n", + "# datos['f'] = np.round(datos['f'], -11)\n", "\n", - "datos.head()" + "# print(datos[[\"lambda\", \"f\",\"U\", \"dU\"]].to_latex(index=False))" ] }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 9, "metadata": {}, "outputs": [ { "data": { - 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", + "text/plain": [ + "3.6846e-19" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "W" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "La pendiente es 3.269e-15 J·s\n", + "La ordenada al origen es -1.102 V\n" + ] + }, + { + "data": { + "image/png": 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", "text/plain": [ "<Figure size 640x480 with 1 Axes>" ] @@ -145,7 +97,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "La pendiente es 3.27e-15 J·s\n", + "La constante de Planck es 5.237e-34 J·s\n", "El error respecto a la constante de Planck es -20.97\n" ] } @@ -154,19 +106,23 @@ "# Realizamos un ajuste lineal del potencial en función de la frecuencia\n", "m, b = np.polyfit(datos['f'], datos['U'], 1)\n", "# dm = np.sqrt(np.sum((datos['U'] - m*datos['f'] - b)**2) / (len(datos) - 2) / np.sum((datos['f'] - datos['f'].mean())**2))\n", + "print(f'La pendiente es {m:.3e} J·s')\n", + "print(f'La ordenada al origen es {b:.3f} V')\n", "\n", "# Graficamos el potencial en función de la frecuencia\n", - "plt.errorbar(datos['f'], datos['U'], xerr=c/datos['lambda']**2*dL, yerr=dU, fmt='o')\n", + "plt.errorbar(datos['f'], datos['U'], yerr=datos.dU, fmt='o', label='Datos experimentales')\n", "plt.plot(datos['f'], m*datos['f'] + b, label='Ajuste lineal')\n", "plt.xlabel('Frecuencia (Hz)')\n", "plt.ylabel('Potencial (V)')\n", - "plt.title('Potencial en función de la frecuencia')\n", + "plt.title('Potencial lÃmite en función de la frecuencia')\n", + "plt.legend()\n", "plt.grid()\n", "plt.show()\n", "\n", "# Calculamos el error de la pendiente respecto a la constante de Planck\n", "error_m = (e*m - h)/h*100\n", - "print(f'La pendiente es {m:.2e} J·s')\n", + "# print(f'La pendiente es {m:.2e} J·s')\n", + "print(f'La constante de Planck es {e*m:.3e} J·s')\n", "print(f'El error respecto a la constante de Planck es {error_m:.2f}')" ] }, @@ -192,9 +148,17 @@ }, { "cell_type": "code", - "execution_count": 81, + "execution_count": 8, "metadata": {}, "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "La pendiente es 5.237e-34 J\n", + "La ordenada al origen es -1.766e-19 J\n" + ] + }, { "data": { "image/png": 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6snHjxjyRAPn6+tK8eXN27NhBjRo1MvzL6k7uv/9+AgIC+N///sfw4cNT+o8fP85vv/2W8ld2RiwWS5pfort372bz5s13TWpatWqFu7s706ZNo0GDBlmO/W6ysn8yc5YgWWbiTv5P5/Z9M2PGjEzF3qFDB8aPH0/RokXtStKyK/nund27d6fcIQewfPlyu9fZtm1b/vvf/3LgwIFMF5n6+flRr149Fi1axIcffphSJJuUlMRXX31FyZIlqVSpkt0xJbv//vsJDAxk/vz5DB8+PGX8jh07luY46NChA99++y2JiYnUq1cv29vO7nclqzp06MD777/PqVOn0lz6vlXDhg0pWLAg06dP54knnsjwMliZMmX4/vvvUyXLFy9e5LfffqNAgQKptuvI/Qb2facg/d9bP/74I6dOnaJChQoOiU1SUwKUgcOHDzN//nxOnjyZ8ovmlVdeYcWKFcyZMydNlu4IlStXpnTp0owcOZIZM2bg5+fHlClTOHPmTLp/bTrS3r1709wFBrbn3ST/1ZVZ//d//0fjxo1p0qQJzz77LGXKlCE6OppDhw6xfPnyu9754ubmxpgxYxg8eDA9evSgf//+XL58mTFjxhAYGJjq7pf0dOjQgXfffZdRo0YREhLCgQMHGDt2LGXLlk33M96qTJkyvPnmm7z77rvExsbyr3/9i4IFC7J//34uXLjAmDFjsrQv0pPZ/VO+fHl8fHz4+uuvqVKlCvny5SMoKCjdBDAzcVeuXJny5cvzxhtvYBgGRYoUYfny5YSGhmYq7pdeeomFCxfStGlTXn75ZWrUqEFSUhLHjx9n1apVjBgxwmH/iaSnXbt2FClShAEDBjB27Fg8PDyYO3cuJ06csHudY8eO5eeff6Zp06a8+eabVK9encuXL7NixQqGDx+e7sNBASZMmEDLli1p3rw5r7zyCp6enkydOpW9e/cyf/58h9SnuLm58e677zJw4EC6du3KoEGDuHz5MqNHj05zWeyJJ57g66+/pl27drz44os8/PDDWK1WTp48yZo1a+jcuTNdu3bN9LYbNmxI4cKFGTJkCKNGjcJqtfL111+za9eubH+u9DRq1IhnnnmGfv36ERYWRtOmTfHz8yMiIoKNGzdSvXp1nn32WfLly8fkyZMZOHAgLVq0YNCgQZQoUYJDhw6xa9cuPvvsMwCefvppZsyYwVNPPcWgQYO4ePEiH3zwQarkBxy/38D+71SHDh2YO3culStXpkaNGvzxxx9MmjTpnn7el+nMrcF2HoCxePHilPb//vc/AzD8/PxS/Xh4eBg9e/Y0DOOfSv47/dx+J0tG20sWFhZm1KxZM+UurNatWxtt27Y12rZtmxMf+453gQHG559/nirm9D5P6dKljT59+qTqCw8PN/r372/cd999htVqNYoXL240bNjQGDduXMo8yXeBff/99+nGNnPmTKNChQqGp6enUalSJeOLL74wOnfubNSuXTvVfNx2F1hcXJzxyiuvGPfdd5/h7e1t1KlTx1iyZEm6d25lZN68ecZDDz1keHt7G/ny5TNq166d6o6NjO4Cc+T+MQzbXSqVK1c2rFZrqs+Z0V07d4t7//79RsuWLY38+fMbhQsXNh577DHj+PHjd72TLtnVq1eNt956y7j//vsNT09Po2DBgkb16tWNl19+2Thz5oxd+yI9GS2/detWo2HDhoafn59x3333GaNGjTJmzZqV7l1g7du3T7N8encHnThxwujfv78REBBgWK1WIygoyOjZs6dx9uxZwzAyvmNnw4YNxiOPPGL4+fkZPj4+Rv369Y3ly5enmif5+Lr9zrnk7/6aNWvuui9mzZplVKxYMdVxkN73Lz4+3vjwww+NmjVrpox/5cqVjcGDBxsHDx684zbS+z799ttvRoMGDQxfX1+jePHixsCBA43t27ff9e4lw7j7XWDnz59Pd7kvvvjCqFevXso+LV++vNG7d28jLCws1Xw//fSTERISYvj5+Rm+vr5G1apVjYkTJ6aa58svvzSqVKlieHt7G1WrVjW+++67bO23nP5OXbp0yRgwYIDh7+9v+Pr6Go0bNzY2bNiQ4R1tkn0WwzCMHM2w8giLxcLixYvp0qULYHsIWK9evdi3b1+aZ+Hky5ePgIAA4uPj7/ryzcKFC6db2Hf79m4XFRXFjRs3KF68OPXq1aNu3bppHiToai5fvkylSpXo0qULM2fONDscERHJw3QJLAO1a9cmMTGRc+fO0aRJk3TnsVqtGZ7OzK6CBQsCtsLosLAw3n333RzZjrM6c+YM7733Hs2bN6do0aIcO3aMjz76iOjoaIe8g0tERFybSydAV69eTXUHTHh4ODt37qRIkSJUqlSJXr160bt3byZPnkzt2rW5cOECv/76K9WrV6ddu3YO3V7ysyW+//57ihcvTqlSpdizZw8vvvgiXbp0oVWrVtn/wHmIl5cXR48e5bnnniMyMhJfX1/q16/P9OnTU+6QExERsZdLXwJbu3YtzZs3T9Pfp08f5s6dS3x8POPGjWPevHmcOnWKokWL0qBBA8aMGUP16tUdvj2ATz75hEmTJnH27FkCAwPp3bs3b7/9tl13U4mIiEj6XDoBEhEREdfk0q/CEBEREdekBEhERERcjksWQSclJXH69Gny58/vkAeWiYiISM4zDIPo6GiCgoLu+lDcu3HJBOj06dM58p4nERERyXknTpzI9lOyXTIBSn7B3YkTJ9I8Gl3sFx8fz6pVq2jVqlWGbwyX3KdxcU4aF+ejMXFOt45LbGwswcHBdr2o9nYumQAlX/YqUKCAEiAHio+Px9fXlwIFCuiXhxPRuDgnjYvz0Zg4p/TGxSHv28v2GkRERETyGCVAIiIi4nKUAImIiIjLUQIkIiIiLkcJkIiIiLgcJUAiIiLicpQAiYiIiMtRAiQiIiIuRwmQiIiIuBwlQCIiIuJylACJiIiIy3HJd4GJiIiI4yUmGWwNj+Rc9HX883vzcNkiuLtl/71dOUEJkIiIiGTbir0RjFm+n4io6yl9gQW9GdWxKm2qBZoYWfp0CUxERESyZcXeCJ79anuq5AfgTNR1nv1qOyv2RpgUWcaUAImIiIjdEpMMxizfj4GRZlpyz5jl+0lMSjvdTEqARERExG5b/z5188xP+rU+BhARdZ2t4ZG5GtfdKAESERER+5z6g3NL/p2pWc9FX7/7TLlICZCIiIhkTVIibJgMs1vhH3MgU4v45/fO4aCyRneBiYiISOZFnYRFg+HYRgAerlaZwMOenLlyI50qINuFsYCCtlvinYnOAImIiEjm7FsM0xrakh+rH3SeinvPOYzqVA1IWwWU3B7VsarTPQ9ICZCIiIjcWVw0LBkK3/eF61Fw34MwZAPU7gUWC22qBTLtqToEFEx9mSugoDfTnqrjlM8B0iUwERERydjJP2DhALgUDligyQho9ga4W1PN1qZaIC2rBuhJ0CIiIpKHJSXCximwZgIYiVAwGLrOgDKNMlzE3c1Cg/JFczFI+ykBEhERkdQun4DFg+HYJlv7gW7Q4SPwKWRqWI6kBEhERET+sXcR/PCSrdbHMx+0+xBqPgEW57yUZS8lQCIiImIrdP7pNdj1ja1d8iHoNhOKlDM3rhyiBEhERMTVnQy7Weh8FCxu0OQVCHktTaHzvUQJkIiIiKtKSoQNU2DtLYXO3T6H0g3MjizHKQESERFxRZePw6Jn4PhmW7taD2g/+Z4qdL4TJUAiIiKuZs8C+GE4xEWBZ35b4lOj5z1X6HwnSoBERERcxfUr8NOrsPtbW7vkwzcLncuaG5cJlACJiIi4ghNbYeFAuHzMVujc9DVo+iq4u2Yq4JqfWkRExFUkJsCGybBuoq3QuVApW6FzqfpmR2YqJUAiIiL3qkvHbIXOJ7bY2tV7QvsPwbuguXE5ASVAIiIi96Ld/4MfR0DcFfAq8E+hswBKgERERO4t16Pgx1dgz/9s7eB6tkLnwmVMDcvZKAESERG5Vxz/HRYNtD3jx+IOIa9DkxEuW+h8J9ojIiIieV1iAqyfBOs/ACMJCpWG7rMg+GGzI3NaSoBERETysktHYeEgOLnV1q7xBLSbBN4FTA3L2SkBEhERyat2fWcrdL4RDV4FocMUqN7D7KjyBDczNz5hwgQeeugh8ufPj7+/P126dOHAgQN3XW7dunU8+OCDeHt7U65cOaZPn54L0YqIiDiJ61G2hxoufsaW/JRqAM9uVPKTBaYmQOvWrWPo0KFs2bKF0NBQEhISaNWqFTExMRkuEx4eTrt27WjSpAk7duzgzTffZNiwYSxcuDAXIxcRETHJsc0wrTHs+d5W6Nz839DnB9sDDiXTTL0EtmLFilTtOXPm4O/vzx9//EHTpk3TXWb69OmUKlWKjz/+GIAqVaoQFhbGhx9+SPfu3XM6ZBEREXMkJtie5rzhQ1uhc+Ey0G0WBD9kdmR5kqlngG4XFRUFQJEiRTKcZ/PmzbRq1SpVX+vWrQkLCyM+Pj5H4xMRETFF5BGY0+afu7xqPgmDNyj5yQanKYI2DIPhw4fTuHFjqlWrluF8Z86coUSJEqn6SpQoQUJCAhcuXCAwMDDNMnFxccTFxaW0r1y5AkB8fLySJgdK3pfap85F4+KcNC7OxynHxDCw7Pkf7itfw3IjBsOrAIntJmNU7Wqb7kyx5pBbx8WRY+M0CdDzzz/P7t272bhx413ntVgsqdqGYaTbn2zChAmMGTMmTf+qVavw9fW1I1q5k9DQULNDkHRoXJyTxsX5OMuYeCTEUPPEXEpe/h2AC373s73MYGKPesHRn0yOLveFhoZy7do1h63PKRKgF154gWXLlrF+/XpKlix5x3kDAgI4c+ZMqr5z587h4eFB0aJF011m5MiRDB8+PKV95coVgoODadWqFQUK6DkJjhIfH09oaCgtW7bEarWaHY7cpHFxThoX5+NMY2I5/hvuS9/EcuUkhsWdpJA3KNhgGM3d3E2Nywy3jktsbKzD1mtqAmQYBi+88AKLFy9m7dq1lC1b9q7LNGjQgOXLl6fqW7VqFXXr1s3wC+vl5YWXl1eafqvVavqX/F6k/eqcNC7OSePifEwdk8R4WPs+bJxys9C5LJbus3Ev+SCul/qkZrVaSUhIcNj6TC2CHjp0KF999RXffPMN+fPn58yZM5w5cyZVhjdy5Eh69+6d0h4yZAjHjh1j+PDh/Pnnn3zxxRfMnj2bV155xYyPICIi4hiRR+CL1v/c5VXrKRiyAUo+aHZk9yRTzwBNmzYNgGbNmqXqnzNnDn379gUgIiKC48ePp0wrW7YsP/30Ey+//DL/+c9/CAoK4pNPPtEt8CIikjcZBuz8Bn5+DW5cBe+C0PH/4IGuZkd2TzP9EtjdzJ07N01fSEgI27dvz4GIREREclHsJfjhZdi32NYu3Ri6zYCCd66HlexziiJoERERl3N0IywaDFdOgpuH7YnOjV4EFyx0NoMSIBERkdyUGA9rJ8CGKYABRcpB91lwn2p9cpMSIBERkdxy8bDtJaanb5Zx1H4K2kwEr3zmxuWClACJiIjkNMOAHV/Bz69DfAx4F7pZ6NzF7MhclhIgERGRnHQtEn54CfYvtbXLNIGu01XobDIlQCIiIjklfAMsHgxXTtkKnR95CxoOU6GzE1ACJCIi4mgJN2DNe7Dp/wADilawFToH1TY7MrlJCZCIiIgjXTgECwdAxE5bu05vaPM+ePqZGpakpgRIRETEEQwDts+DFW9A/DXwKQwdP4GqncyOTNKhBEhERCS7rkXC8mHw582XdZdtCl1nQIEgc+OSDCkBEhERyY4j62DxEIg+DW5WePRtaPACuJn6vnG5CyVAIiIi9ki4Ab++C799iq3QueLNQudaZkcmmaAESEREJKsuHLxZ6LzL1n6wH7R+T4XOeYgSIBERkcwyDNj+JawYebPQuQh0+hSqdDA7MskiJUAiIiKZcS0Slr0Af/1ga5cNuVnoHGhuXGIXJUAiIiJ3c3gNLHkWoiNshc4tRkH9oSp0zsOUAImIiGQkIe6WQmegWCVboXNgTXPjkmxTAiQiIpKe83/bCp3P7La16/aHVu+Bp6+5cYlDKAESERG5lWFA2Bew4k1IiLUVOnf+DCq3NzsycSAlQCIiIjd5JkTjvqA3/P2zraNcc+g6HfIHmBuYOJwSIBEREcByZC3N/3wTt4QocPeEFqOh3rMqdL5HKQESERHXlhAHq8fisfkzPACjWCUs3WdDYA2zI5McpARIRERc17m/YOFAOLsHgPBij1Ky/xysvgVNDkxymhIgERFxPYYB22bBqrcg4Tr4FiWhwyfsPphISavu8nIFSoBERMS1xFyApc//U+hc/lHoMg3Duwgc/Mnc2CTXKAESERHXcWi17YnOV8/aCp1bjoWHB9sKnePjzY5OcpESIBERuffFX4fVY2DLVFu7eGXoPhsCqpkbl5hGCZCIiNzbzv15s9B5r6398DO2Mz9WH3PjElMpARIRkXtTmkLnYtBlKlRqbXZk4gSUAImIyL3n6nlYOhQOrrS1K7S0JT/5/M2NS5yGEiAREbm3HPzFVugccw7cvWyXu+oNBovF7MjEiSgBEhGRe0P8dfhlFPw+3db2rwrdZ0GJB8yNS5ySEiAREcn7zu6HhQPg3H5bu94Q27u8VOgsGVACJCIieZdhwNaZsOptSIwDv+LQZRpUbGl2ZOLklACJiEjedPUcLHkODoXa2hVbQeepkK+4uXFJnqAESERE8p6/V9qSn2sXwMMbWo2Dhwaq0FkyTQmQiIjkHfGxEPqO7bIXgP8D0GM2+FcxNy7Jc5QAiYhI3nB2HywYAOf/tLXrPwePjgKrt7lxSZ6kBEhERJybYdhubQ8ddbPQ2f9moXMLsyOTPEwJkIiIOK/os7D0OTj0i61dqQ10/g/4FTM3LsnzlACJiIhzOrDC9joLFTpLDlACJCIiziU+1vZcn22f29olqtme6KxCZ3EgJUAiIuI8zuyBhQPh/F+2dv2h0GIUeHiZG5fcc5QAiYiI+ZKS4Pdp8MtoSLwB+UrYCp0rPGp2ZHKPUgIkIiLmij5je3v74V9t7fvbQadPVegsOcrN7ADWr19Px44dCQoKwmKxsGTJkrsu8/XXX1OzZk18fX0JDAykX79+XLx4MeeDFRERx/rrJ5jW0Jb8ePhA+ynwxDdKfiTHmZ4AxcTEULNmTT777LNMzb9x40Z69+7NgAED2LdvH99//z3btm1j4MCBORypiIg4zI1r8MPL8O2/4NpFCKgOg9fBQwN0l5fkCtMvgbVt25a2bdtmev4tW7ZQpkwZhg0bBkDZsmUZPHgwH3zwQU6FKCIijhSx21bofOGArd3geXj0HRU6S64yPQHKqoYNG/Lvf/+bn376ibZt23Lu3DkWLFhA+/btM1wmLi6OuLi4lPaVK1cAiI+PJz4+PsdjdhXJ+1L71LloXJyTS46LkYTb79NwWzMOS1I8Rr4SJHaailE2BAzA5H3hkmOSB9w6Lo4cG4thGIbD1pZNFouFxYsX06VLlzvOt2DBAvr168f169dJSEigU6dOLFiwAKvVmu78o0ePZsyYMWn6v/nmG3x9fR0RuoiI3IF3/CVqH5uJf/Q+ACIK1mFnqQHc8MhvcmSSl1y7do0nn3ySqKgoChQokK115bkEaP/+/bRo0YKXX36Z1q1bExERwauvvspDDz3E7Nmz010mvTNAwcHBXLhwIds7UP4RHx9PaGgoLVu2zDAZldyncXFOrjQulgM/4f7jS1hiIzE8fEhsOQ6jdm+nq/VxpTHJS24dl9jYWIoVK+aQBCjPXQKbMGECjRo14tVXXwWgRo0a+Pn50aRJE8aNG0dgYGCaZby8vPDySntt2Wq16kueA7RfnZPGxTnd0+NyIwZWvgl/zLW1A2pg6T4bj+KVTA3rbu7pMcnDrFYrCQkJDltfnkuArl27hodH6rDd3d0BcKKTWSIiri1iFywYABcP2toNh8Ejb6nQWZyG6QnQ1atXOXToUEo7PDycnTt3UqRIEUqVKsXIkSM5deoU8+bNA6Bjx44MGjSIadOmpVwCe+mll3j44YcJCgoy62OIiAjYnui8+TNYPRaS4iF/IHSdDuWamR2ZSCqmJ0BhYWE0b948pT18+HAA+vTpw9y5c4mIiOD48eMp0/v27Ut0dDSfffYZI0aMoFChQjzyyCNMnDgx12MXEZFbXDkNi4dA+Dpbu3IH2xOdfYuYG5dIOkxPgJo1a3bHS1dz585N0/fCCy/wwgsv5GBUIiKSJX8uh2UvQOwlsPpCm/ehjvMVOoskMz0BEhGRPOxGDKwYCdu/tLUDa0H3WVCsoqlhidyNEiAREbHP6R22JzpfPARYoNGL0Pzf4OFpdmQid6UESEREsiYpCX77BH4dd7PQOQi6zYCyTc2OTCTTlACJiEjmRZ2CxYPh6AZbu0on6Ph/KnSWPEcJkIiIZM7+pbBsGFy/DFY/aDsRaj+lQmfJk5QAiYjIncVdhRVvwI7/2tpBtaH7bCha3ty4RLJBCZCIiGTs1B+wcBBEHgYs0PhlaP4muOtVEZK3KQESEZG0khJh08ewZjwkJUCB+6DbTCjT2OzIRBxCCZCIiKQWdRIWDYZjG23tql2g48fgU9jMqEQcSgmQiIj8Y98SWP7iP4XO7T6AWr1U6Cz3HCVAIiJiK3T++XXY+ZWtHVTH9kRnFTrLPUoJkIiIqzv5BywaCJFHAAs0GQHN3lChs9zTspwAGYbBunXr2LBhA0ePHuXatWsUL16c2rVr06JFC4KDg3MiThERcbSkRNj4EaydcLPQueTNQudGZkcmkuPcMjtjbGws48ePJzg4mLZt2/Ljjz9y+fJl3N3dOXToEKNGjaJs2bK0a9eOLVu25GTMIiKSXZdPwJcd4dd3bcnPA13h2Y1KfsRlZPoMUKVKlahXrx7Tp0+ndevWWK1pT40eO3aMb775hscff5y33nqLQYMGOTRYERFxgL2L4IeX4HoUeOaDdpOg5r9U6CwuJdMJ0M8//0y1atXuOE/p0qUZOXIkI0aM4NixY9kOTkREHCguGn56DXZ9Y2vfVxe6fw5Fypkbl4gJMp0A3S35uZWnpycVK1a0KyAREckBJ8Ng4QC4dBQsbtDkFQh5TYXO4rKyVAS9e/fuu6/Qw4OAgACKFNGbgUVETJeUCBum2AqdjUQoGGwrdC7d0OzIREyVpQSoVq1aWCwWDMO443wWi4WaNWsyb968LJ05EhERB7p8HBY9A8c329rVekD7yeBTyNSwRJxBlhKg8PDwu86TlJTE2bNnmTRpEs8++ywbNmywOzgREbHTngXww3CIiwLP/LbEp0ZPFTqL3JSlBKh06dKZmq9s2bJMnDiRmjVr2hWUiIjY6foV+OlV2P2trV3yIej2ORQpa25cIk4m0wnQ8ePHKVWqVKZX7OPjw2+//WZXUCIiYocTW2HhQLh8zFbo3PRVaPoauOuh/yK3y/SDEB966CEGDRrE1q1bM5wnKiqKzz//nGrVqrFo0SKdARIRyQ2JCbB2InzRxpb8FCwF/X6G5m8q+RHJQKaPjD///JPx48fTpk0brFYrdevWJSgoCG9vby5dusT+/fvZt28fdevWZdKkSbRt2zYn4xYREYBLx2yFziduPoG/+mO2eh/vgubGJeLkMp0AFSlShA8//JBx48bx008/pbwLLDY2lmLFitGrVy9at26tu75ERHLL7u/hx+EQd8VW6Nxhiq3QWUTuKsvnRr29venWrRvdunXLiXhERORurkfdLHT+ztYOrmd7tk/hMqaGJZKX6OKwiEhecvx3WDTQ9owfixuEvG57qrNqfUSyREeMiEhekJgA6yfB+g/ASIJCpW23t5eqZ3ZkInmSEiAREWd36SgsHAQnb96FW+MJ2xvcvQuYGpZIXqYESETEme36Dn4cATeiwasAdPgIqvcwOyqRPE8JkIiIM7oeZUt89nxva5dqAF1nQOHMPZFfRO4sWwnQ/v37OX78ODdu3EjV36lTp2wFJSLi0o5ttj3bJ+o4WNyh2RvQeLgKnUUcyK6j6ciRI3Tt2pU9e/akeju85eZL9hITEx0XoYiIq0hMgHUTYcOHtkLnwmWg2ywIfsjsyETuOZl+FcatXnzxRcqWLcvZs2fx9fVl3759rF+/nrp167J27VoHhygi4gIij8CcNv/c5VXzXzB4g5IfkRxi1xmgzZs38+uvv1K8eHHc3Nxwc3OjcePGTJgwgWHDhrFjxw5Hxykicm8yDNg5H356BW5cBa+Ctic6q9BZJEfZlQAlJiaSL18+AIoVK8bp06e5//77KV26NAcOHHBogCIi9yqPhBjclwyC/UtsHaUaQrcZUKiUqXGJuAK7EqBq1aqxe/duypUrR7169fjggw/w9PRk5syZlCtXztExiojccyzHN9P8r7dwi79oK3RuPtJW6OzmbnZoIi7BrgTorbfeIiYmBoBx48bRoUMHmjRpQtGiRfnuu+8cGqCIyD0lMR7WTcR9w2R8jSSMwmWxdJ8FJeuaHZmIS7ErAWrdunXKv8uVK8f+/fuJjIykcOHCKXeCiYjIbSKP2J7ofCoMC3C8SBMC+8/Dmq+I2ZGJuBy7EqCoqCgSExMpUuSfg7ZIkSJERkbi4eFBgQJ6PLuISArDgJ3fwM+v2QqdvQuS0HYyO456EuiV3+zoRFySXbfBP/HEE3z77bdp+v/3v//xxBNPZDsoEZF7RuwlWNAPlj5nS35KN4IhmzCqdjE7MhGXZlcC9Pvvv9O8efM0/c2aNeP333/PdlAiIveEoxthWmPYtxjcPODRd6DPcigUbHZkIi7PrktgcXFxJCQkpOmPj48nNjY220GJiORpifGwdgJsmAIYUKQcdJ8F9z1odmQicpNdZ4AeeughZs6cmaZ/+vTpPPigDnARcWEXD8PsVrBhMmBA7adsT3RW8iPiVOxKgN577z1mzZpF06ZNGTNmDGPGjKFp06Z88cUXjB8/PkvrWr9+PR07diQoKAiLxcKSJUvuukxcXBz//ve/KV26NF5eXpQvX54vvvjCno8iIuIYhgHb/wvTm8Dp7eBdCB77Ejr/B7zymR2diNzGrktgjRo1YvPmzUyaNIn//e9/+Pj4UKNGDWbPnk3FihWztK6YmBhq1qxJv3796N69e6aW6dmzJ2fPnmX27NlUqFCBc+fOpXtJTkQkV1yLhB9egv1Lbe0yTaDrdChY0tSwRCRjdiVAALVq1eLrr7/OdgBt27albdu2mZ5/xYoVrFu3jiNHjqTchl+mTJlsxyEiYpfwDbB4MFw5ZSt0bv5vaPSinugs4uQynQBduXIl5fk+V65cueO8OfkcoGXLllG3bl0++OAD/vvf/+Ln50enTp1499138fHxSXeZuLg44uLiUtrJ8cfHxxMfH59jsbqa5H2pfepcNC45JPEGbuvex23zp1gwMIqUI7HzDIyg2pCYZPu5A42L89GYOKdbx8WRY5PpBKhw4cJERETg7+9PoUKF0n3is2EYWCwWEhMTHRbg7Y4cOcLGjRvx9vZm8eLFXLhwgeeee47IyMgM64AmTJjAmDFj0vSvWrUKX1/fHIvVVYWGhpodgqRD4+I4ftcjqHt0GoVijwJwtGgIe+/rReLOCNgZkaV1aVycj8bEOYWGhnLt2jWHrc9iGIaRmRnXrVtHo0aN8PDwYN26dXecNyQkxL5gLBYWL15Mly5dMpynVatWbNiwgTNnzlCwYEEAFi1aRI8ePYiJiUn3LFB6Z4CCg4O5cOGCnlrtQPHx8YSGhtKyZUusVqvZ4chNGhcHMgwsu77GfdWbWOKvYXgXIrH9RxiVO2Z5VRoX56MxcU63jktsbCzFihUjKioq2/9/Z/oM0K1JTdmyZQkODk5zFsgwDE6cOJGtgO4mMDCQ++67LyX5AahSpQqGYXDy5Ml0i7C9vLzw8vJK02+1WvUlzwHar85J45JN1yJh+Yvw5zJbu2xTLF2m41HwvmytVuPifDQmzslqtTr0hie7boMvW7Ys58+fT9MfGRlJ2bJlsx3UnTRq1IjTp09z9erVlL6///4bNzc3SpbUHRcikgOOrINpjWzJj5sVWo6Fp5dCNpMfETGPXQlQcq3P7a5evYq3t3eW1nX16lV27tzJzp07AQgPD2fnzp0cP34cgJEjR9K7d++U+Z988kmKFi1Kv3792L9/P+vXr+fVV1+lf//+GRZBi4jYJeEGhL4D8zpD9GkoWgEGht68y8uuX58i4iSydBv88OHDAVutzttvv52qgDgxMZHff/+dWrVqZSmAsLCwVO8VS95Gnz59mDt3LhERESnJEEC+fPkIDQ3lhRdeoG7duhQtWpSePXsybty4LG1XROSOLhyEhQMgYpet/WBfaD0ePP1MDUtEHCNLCdCOHTsA2xmgPXv24OnpmTLN09OTmjVr8sorr2QpgGbNmnGnOuy5c+em6atcubKq9EUkZxgGbP8SVoyE+GvgUxg6fQpVsl7oLCLOK0sJ0Jo1awDo168f//d//6c7qETk3nItEpa9AH/9YGuXDYGuM6BAoLlxiYjD2fUk6Dlz5gBw6NAhDh8+TNOmTfHx8cmwNkhExOkdXgNLnoXoCFuhc4tRUH+oan1E7lGZSoCSkpJwu+WXQGRkJI899hhr1qzBYrFw8OBBypUrx8CBAylUqBCTJ0/OsYBFRBwqIQ5+fRd++9TWLlYJus+CwJrmxiUiOSpTf9pMmTKFn376KaX90ksvYbVaOX78eKpC6Mcff5wVK1Y4PkoRkZxw/m+Y1eKf5OfBfvDMOiU/Ii4gU2eAWrZsSY8ePYiIiGDAgAGsWrWKlStXpnnuTsWKFTl27FiOBCoi4jCGAX/MgRVvQkIs+BSBzp9B5fZmRyYiuSRTZ4Bq1qzJ1q1bWb58OQAxMTHpvkPrwoUL6T5xWUTEacRchG97wQ8v25Kfcs3h2d+U/Ii4mExX9xUuXJglS5YA0LRpU+bNm5cyzWKxkJSUxKRJk1I900dExKkc/hWmNYADP4K7J7R6D55apLu8RFyQXXeBTZo0iWbNmhEWFsaNGzd47bXX2LdvH5GRkWzatMnRMYqIZE9CHKweC5s/s7WL3X+z0LmGuXGJiGnsSoCqVq3K7t27mTZtGu7u7sTExNCtWzeGDh1KYKD+khIRJ3L+gO2Jzmf22Np1B0CrceCZ9jK+iLgOuxIggICAAMaMGePIWEREHMcwIGw2rPw3JFwH36LQ+T9wf1uzIxMRJ2B3AnT58mW2bt3KuXPnSEpKSjXt1peXiojkupgLsPR5+PtnW7v8I9BlGuQPMDcuEXEadiVAy5cvp1evXsTExJA/f/5UT3+2WCxKgETEPIdW257ofPWsrdC5xRioN0RPdBaRVOxKgEaMGEH//v0ZP358urfDi4jkuvjrsHoMbJlqaxevDN1nQ0A1c+MSEadkVwJ06tQphg0bpuRHRJzDuT9h4UA4u9fWfvgZaDkWrD7mxiUiTsuuBKh169aEhYVRrlw5R8cjIpJ5hgHbZsGqt24WOheDLlOhUmuzIxMRJ2dXAtS+fXteffVV9u/fT/Xq1bFarammd+rUySHBiYhk6Op5WDoUDq60tSu0gM5TIX8Jc+MSkTzBrgRo0KBBAIwdOzbNNIvFQmJiYvaiEhG5k4O/2AqdY86Bu5ftctfDz6jQWUQyza4E6Pbb3kVEckX8dfhlFPw+3dYuXgV6zIYSD5gbl4jkOXY/B0hEJFed3W97ovO5/bb2w4Oh5RgVOouIXTKdAH3yySc888wzeHt788knn9xx3mHDhmU7MBERwFbovHUmrHobEuPAr7it1qdSK7MjE5E8LNMJ0EcffUSvXr3w9vbmo48+ynA+i8WiBEhEHOPqOVjyHBwKtbUrtrK9ziKfv7lxiUiel+kEKDw8PN1/i4jkiL9XwdLnIOa8rdC51Th4eBDc8uR5ERF7qQZIRJxLfCyEjoKtM2xt/weg+ywoUdXcuETknmLXPaM9evTg/fffT9M/adIkHnvssWwHJSIu6uw++PyRf5Kfes/CoF+V/IiIw9mVAK1bt4727dun6W/Tpg3r16/PdlAi4mIMA7ZMg5nNbXd5+flDr4XQ9n2wepsdnYjcg+y6BHb16lU8PT3T9FutVq5cuZLtoETEhUSftdX6HPrF1q7UBjp9BvmKmxuXiNzT7DoDVK1aNb777rs0/d9++y1Vq+pUtYhk0oEVMK2hLfnx8IZ2H8K/vlXyIyI5zq4zQG+//Tbdu3fn8OHDPPLIIwCsXr2a+fPn8/333zs0QBG5B8XH2p7rs+1zW7tENVuhs38Vc+MSEZdhVwLUqVMnlixZwvjx41mwYAE+Pj7UqFGDX375hZCQEEfHKCL3kjN7YOFAOP+XrV1/KLQYBR5e5sYlIi7F7tvg27dvn24htIhIupKS4Pdp8MtoSLwB+UpAl6m2t7iLiOQyPQdIRHJe9Bnb29sP/2prV2oLnT8Dv2LmxiUiLksJkIjkrL9+gmXPw7WLtkLn1u9B3QF6orOImEoJkIjkjBvXYNW/IewLW7tEdegxG4rfb25cIiIoARKRnBCx21bofOGArd3geXj0HRU6i4jTUAIkIo6TlARbpsLqMTcLnQOg6zQo/4jZkYmIpGJ3AnTy5EmWLVvG8ePHuXHjRqppU6ZMyXZgIpLHXImwFTofWWNr398eOn0KfkXNjUtEJB12JUCrV6+mU6dOlC1blgMHDlCtWjWOHj2KYRjUqVPH0TGKiLP760dY+jzERoKHD7SZAA/2VaGziDgtu16FMXLkSEaMGMHevXvx9vZm4cKFnDhxgpCQEL0NXsSV3LgGy1+Cb5+0JT8BNWDweqjbT8mPiDg1uxKgP//8kz59+gDg4eFBbGws+fLlY+zYsUycONGhAYqIk4rYBTOawh9zbO2Gw2DgL1C8krlxiYhkgl0JkJ+fH3FxcQAEBQVx+PDhlGkXLlxwTGQi4pySkmDTJ/D5o3DxIOQPhN5LodW7ustLRPIMu2qA6tevz6ZNm6hatSrt27dnxIgR7Nmzh0WLFlG/fn1HxygizuLKaVg8BMLX2dqVO9gKnX2LmBuXiEgW2ZUATZkyhatXrwIwevRorl69ynfffUeFChX46KOPHBqgiDiJP5fDshcg9hJYfW2FznX6qNZHRPKkTCVAu3btokaNGlhu/qIrV65cyjRfX1+mTp2aM9GJiPluxMCKkbD9S1s7sCZ0nw3FKpobl4hINmSqBuiXX36hS5cuXL9+PafjERFncnqHrdB5+5eABRq9CAN+UfIjInleps4ADR8+nIsXL9KiRQs2btxI4cKFU84GpScyMtJhAYqICZKS4LdP4NdxkBQP+YOg63QoF2J2ZCIiDpGpBMhisTB+/HiWLl0KwEcffXTHBCgr1q9fz6RJk/jjjz+IiIhg8eLFdOnSJVPLbtq0iZCQEKpVq8bOnTsdEo+Iy4s6BYsHw9ENtnaVjtDxExU6i8g9JUtF0J07dwagb9++DgsgJiaGmjVr0q9fP7p3757p5aKioujduzePPvooZ8+edVg8Ii5t/1JYNgyuX7YVOredCLWfVqGziNxz7LoL7MqVK+n2WywWvLy88PT0zPS62rZtS9u2bbMcw+DBg3nyySdxd3dnyZIlWV5eRG4RdxVWvAE7/mtrB9WGbrOgWAVz4xIRySF2JUCFChW64yWwkiVL0rdvX0aNGoWbm13PWryjOXPmcPjwYb766ivGjRt31/nj4uJSHtwI/yRw8fHxxMfHOzw+V5W8L7VPncvdxsVyegfuSwdjiTyCgYWkhsNIavo6uHuCxjLH6HhxPhoT53TruDhybOxKgObOncu///1v+vbty8MPP4xhGGzbto0vv/ySt956i/Pnz/Phhx/i5eXFm2++6bBgAQ4ePMgbb7zBhg0b8PDIXPgTJkxgzJgxafpXrVqFr6+vQ+MTCA0NNTsESUeacTGSqHj2RypHLMJCIrHWIvxRejAXY6vAyl/MCdIF6XhxPhoT5xQaGsq1a9cctj67EqAvv/ySyZMn07Nnz5S+Tp06Ub16dWbMmMHq1aspVaoU7733nkMToMTERJ588knGjBlDpUqZf9/QyJEjGT58eEr7ypUrBAcH06pVKwoUKOCw+FxdfHw8oaGhtGzZEqvVanY4clO643LlFO7LnsMtYhMASZU74dFuMvV8CpsYqWvR8eJ8NCbO6dZxiY2Nddh67UqANm/ezPTp09P0165dm82bNwPQuHFjjh8/nr3obhMdHU1YWBg7duzg+eefByApKQnDMPDw8GDVqlU88sgjaZbz8vLCyyvtO4qsVqu+5DlA+9U5pYzLviWw/MWbhc5+0O4D3Gr1wk2FzqbQ8eJ8NCbOyWq1kpCQ4LD12ZUAlSxZktmzZ/P++++n6p89ezbBwcEAXLx4kcKFHfvXZIECBdizZ0+qvqlTp/Lrr7+yYMECypYt69DtidxTblyFH9+CnV/Z2kF1oPssKFre3LhERExgVwL04Ycf8thjj/Hzzz/z0EMPYbFY2LZtG3/99RcLFiwAYNu2bTz++ON3XdfVq1c5dOhQSjs8PJydO3dSpEgRSpUqxciRIzl16hTz5s3Dzc2NatWqpVre398fb2/vNP0i8o9CMYfxmDUKLoUDFmgyHJqNBHf9lSsirsmuBKhTp078/fffTJ8+nQMHDmAYBm3btmXJkiWUKVMGgGeffTZT6woLC6N58+Yp7eRanT59+jB37lwiIiIcfilNxGUkJeK26SOa/P0+FhKhQEnoNgPKNDY7MhERU2U5AYqPj6dVq1bMmDGDCRMmZDuAZs2aYRhGhtPnzp17x+VHjx7N6NGjsx2HyD3n8glYPBj3YzcLnat0xq3T/4EKnUVEsp4AWa1W9u7d67BXYYhIDti7CH54Ca5HYXj6sSPgSap3HY9bFh5SKiJyL7PrKYW9e/dm9uzZjo5FRLIrLhoWPwsL+sH1KLjvQRIGrOFE0SZ6nYWIyC3sqgG6ceMGs2bNIjQ0lLp16+Ln55dq+pQpUxwSnIhkwckwWDgALh0Fixs0GQEhr0MSwF8mByci4lzsSoD27t1LnTp1APj7779TTdOlMZFclpQIG6bA2glgJELBYOg2E0o3vDldj/UXEbmdXQnQmjVrHB2HiNjj8nFY9Awctz2AlGrdof0U8ClkalgiIs7OrgQo2aFDhzh8+DBNmzbFx8cHwzB0Bkgkt+xZAD8Mh7go8MwP7T+EGo+r1kdEJBPsSoAuXrxIz549WbNmDRaLhYMHD1KuXDkGDhxIoUKFmDx5sqPjFJFk16/Az6/Brvm2dsmHoNvnUERPQhcRySy77gJ7+eWXsVqtHD9+PNXb1B9//HFWrFjhsOBE5DYntsGMJrbkx+JmK3Lut0LJj4hIFtl1BmjVqlWsXLmSkiVLpuqvWLEix44dc0hgInKLxATYMBnWTbxZ6FwKun8OpeqbHZmISJ5kVwIUExOT6sxPsgsXLqT71nURyYZLx2yFzie22NrVH4P2k8G7oLlxiYjkYXZdAmvatCnz5s1LaVssFpKSkpg0aVKq93qJSDbt/h6mN7YlP575oetM2xvclfyIiGSLXWeAJk2aRLNmzQgLC+PGjRu89tpr7Nu3j8jISDZt2uToGEVcz/Uo+OlV2P2drV3yYdslr8JlTA1LROReYVcCVLVqVXbv3s20adNwd3cnJiaGbt26MXToUAIDAx0do4hrOf47LBpoe8ZPcqFzk1fAPVtPrRARkVvY/Rs1ICCAMWPGODIWEdeWmADrJ8H6D8BIgkKloNssKFXP7MhERO45didAly9fZuvWrZw7d46kpKRU03r37p3twERcyqWjsHAQnNxqa9d4HNpNUq2PiEgOsSsBWr58Ob169SImJob8+fOnevqzxWJRAiSSFbu+gx9HwI1o8Cpge5VFjcfMjkpE5J5mVwI0YsQI+vfvz/jx49O9HV5EMuF6lC3x2fO9rR1c3/YS08KlzY1LRMQF2JUAnTp1imHDhin5EbHX8S22S15Rx8HiDs3egMbDVegsIpJL7Ppt27p1a8LCwihXrpyj4xG5tyUm2Iqc10+6Wehc2vZcn+CHzY5MRMSl2JUAtW/fnldffZX9+/dTvXp1rFZrqumdOnVySHAi95TIcFg0CE5us7Vr/gvafgDeBcyNS0TEBdmVAA0aNAiAsWPHpplmsVhITEzMXlQi9xLDsD3Q8MdXbhY6F4QOU6B6D7MjExFxWXYlQLff9i4iGYi9DD8Oh70Lbe1SDaHbDNszfkRExDSquBTJKcd+s73ENOrEzULnkdBkOLi5mx2ZiIjLy9LLUNu1a0dUVFRK+7333uPy5csp7YsXL1K1alWHBSeSJyXGw6/jYG57W/JTuAwMWAUhryr5ERFxEllKgFauXElcXFxKe+LEiURGRqa0ExISOHDggOOiE8lrIo/AF23+ucur5pMwZCOUrGt2ZCIicossXQIzDOOObRGXZRiw8xv4+TW4cdVW6NzxI6jW3ezIREQkHaoBEsmu2Evww8uwb7GtXboRdJ0BhYLNjUtERDKUpQTIYrGkeu9Xcp+Iyzq6ERYNhisnwc3DVujc+GXV+oiIOLksXwLr27cvXl5eAFy/fp0hQ4bg5+cHkKo+SOSelhgPayfAhimAAUXKQbdZUPJBsyMTEZFMyFIC1KdPn1Ttp556Ks08ehO83PMuHoaFA+H0dlu79lPQZiJ45TM3LhERybQsJUBz5szJqThEnJ9hwI6v4OfXIT4GvAtCx/+DB7qaHZmIiGSRiqBFMiP2Eix/CfYvsbXLNIGu06FgSTOjEhEROykBErmb8A2weDBcOWUrdG7+b2j0ogqdRUTyMCVAIhlJuAFrx8PGj7EVOpeH7rPgvjpmRyYiItmkBEgkPRcOwaKBcHqHrV37aWjzvgqdRUTuEUqARG5lGLDjvzcLna+BdyHo9AlU7Wx2ZCIi4kBKgESSXYuE5S/Cn8ts7TJNbE90LnifuXGJiIjDKQESATiyDhYPgejTtkLnR96Ghi+o0FlE5B6lBEhcW8INWDMONn0CGFC0gq3QOai22ZGJiEgOUgIkruvCQVg4ACJ22dp1+kCbCeDpZ25cIiKS45QAiesxDNj+JawYaSt09ikMnT6FKh3NjkxERHKJEiBxLdciYdkL8NcPtnbZENsTnQsEmRuXiIjkKiVA4joOr4Elz0J0BLhZ4dF3oMHz4OZmdmQiIpLLlADJvS8hDn59F3771NYuWvFmoXMtU8MSERHzmP6n7/r16+nYsSNBQUFYLBaWLFlyx/kXLVpEy5YtKV68OAUKFKBBgwasXLkyd4KVvOf83zCrxT/Jz4P9YPB6JT8iIi7O9AQoJiaGmjVr8tlnn2Vq/vXr19OyZUt++ukn/vjjD5o3b07Hjh3ZsWNHDkcqeYphQNgXMKMpnNkNPkXgiW+g48fg6Wt2dCIiYjLTL4G1bduWtm3bZnr+jz/+OFV7/PjxLF26lOXLl1O7tp7dIkDMRVuh84Efbe1yzaHLNCgQaG5cIiLiNExPgLIrKSmJ6OhoihQpkuE8cXFxxMXFpbSvXLkCQHx8PPHx8Tkeo6tI3pdm7lPLkbW4Lx+K5epZDDcrSY+8TdLDQ8DiBi461s4wLpKWxsX5aEyc063j4sixyfMJ0OTJk4mJiaFnz54ZzjNhwgTGjBmTpn/VqlX4+upyiKOFhobm+jbdkuKpcvp7KpxfAUC0VyBhZZ7jysXS8POKXI/HGZkxLnJ3GhfnozFxTqGhoVy7ds1h67MYhmE4bG3ZZLFYWLx4MV26dMnU/PPnz2fgwIEsXbqUFi1aZDhfemeAgoODuXDhAgUKFMhu2HJTfHw8oaGhtGzZEqvVmnsbvvA3HksGYzm7B4DEOv1IajEGrEpuwcRxkTvSuDgfjYlzunVcYmNjKVasGFFRUdn+/zvPngH67rvvGDBgAN9///0dkx8ALy8vvLy80vRbrVZ9yXNAru1Xw4Cw2bDy35BwHXyLQqfPcK/cDr3CNC19352TxsX5aEyck9VqJSEhwWHry5MJ0Pz58+nfvz/z58+nffv2ZocjZoi5AEufh79/trXLP2IrdM4fYG5cIiKSJ5ieAF29epVDhw6ltMPDw9m5cydFihShVKlSjBw5klOnTjFv3jzAlvz07t2b//u//6N+/fqcOXMGAB8fHwoWLGjKZ3BliUkGW8MjORd9naK+HiTlxgXVQ6ttT3S+ehbcPaHFGKg3RE90FhGRTDM9AQoLC6N58+Yp7eHDhwPQp08f5s6dS0REBMePH0+ZPmPGDBISEhg6dChDhw5N6U+eX3LPir0RjFm+n4io6yl9hTzdsZY5S4daJR2/wfjrsHoMbJlqaxevbHuic0B1x29LRETuaaYnQM2aNeNOddi3JzVr167N2YAkU1bsjeDZr7Zz+8hdvgEvfLsLDw932lRz4HN3zv0JCwfC2b229kODoNW7YPVx3DZERMRl6JqBZFliksGY5fvTJD82FgDGLN9PoiOuhxkGbP0cZjazJT++xeBf30H7D5X8iIiI3Uw/AyR5z9bwyFSXvW5nABFR19kaHkmD8kXt39DV87B0KBy8+a63Ci2g81TIX8L+dYqIiKAESOxwLjrj5Mee+dJ18BdboXPMOXD3gpZj4eFnVOgsIiIOoQRIssw/v7dD50sl/jr8Mhp+n2ZrF68CPWZDiQeyvi4REZEMKAGSLHu4bBECC3pzJup6unVAFiCgoDcPl834/WzpOrvfVuh8bt/NDT1jO/OjWh8REXEwXU+QLHN3szCqY1UgueT5VraUaFTHqri7pZ2aLsOA32faCp3P7QO/4vDk99BukpIfERHJEUqAxC5tqgUy7ak6BBRMfZmrkCd8+kTNzN8Cf/UcfNMTfn4VEuOgQkt49jeo1CoHohYREbHRJTCxW5tqgbSsGpDqSdDn92+h9QOZvEvr71Ww9DmIOW8rdG71ru2ylyWTZ45ERETspARIssXdzZJyq3t8fDw//ZmJheJjIXQUbJ1ha/tXhe6zoUTVnAtURETkFkqAJHed3Xez0Hm/rV1viO1dXlY77hgTERGxkxIgyR2GAb9Pt535SYwDP3/oMhUqtjQ7MhERcUFKgCTnRZ+11foc+sXWrtgaOv8H8hU3Ny4REXFZSoAkZx1YYXudxbUL4OENrcbBQwNV6CwiIqZSAiQ5Iz4WVr0N2z63tUtUg+6zwL+KuXGJiIigBEhywtm9sHQInP/L1q4/FB59R4XOIiLiNJQAieMYSZQ7twKPOQsg8QbkK2ErdK7QwuzIREREUlECJI4RfQb3xc9S/dSvtnalttD5M/ArZm5cIiIi6VACJNl34GdYOhS3axdJtFih9Xu419MTnUVExHkpARL73bgGq96CsNkAGP7VWFekF00e7I+7kh8REXFiehmq2Cdit+3t7TeTH+oPJaHfSqJ97jM1LBERkczQGSDJmqQk2DIVVo+5pdB5GlR4FOLjzY5OREQkU5QASeZdiYAlz8KRNbb2/e2g02fgV9TcuERERLJICZBkzl8/wtLnITYSPHygzXh4sJ8KnUVEJE9SAiR3duMarHwT/phjawdUh+6zofj95sYlIiKSDUqAJGMRu2DBALh40NZu+AI88jZ4eJkbl4iISDYpAZK0kpJg82eweiwkxUP+QFuhc/nmZkcmIiLiEEqAJLUrEbBkCBxZa2tX7gCdPgXfIqaGJSIi4khKgOQff/4Ay56H2Etg9YU2E6BOHxU6i4jIPUcJkMCNmJuFznNt7cCatkLnYhVNDUtERCSnKAFydad3wsKBNwudLdBoGDR/Czw8zY5MREQkxygBclVJSfDbJ/DruH8KnbvOgHIhZkcmIiKS45QAuaKoU7ZC5/D1trYKnUVExMUoAXI1+5fBshfg+uWbhc7vQ53eKnQWERGXogTIVcRdhRVvwI7/2tqBtW4WOlcwNSwREREzKAFyBae22wqdIw8DFmj8EjR7U4XOIiLispQA3cuSEmHT/8Ga9yApAfIHQbcZULap2ZGJiIiYSgnQvSrqFCweDEc32NpVO0OHj1XoLCIighKge9P+pbBs2M1CZz9o9wHU6qVCZxERkZuUAN1L4q7Citdhx1e2dlAd6D4LipY3Ny4REREnowToXnHqj5uFzkcACzQZDs1GgrvV7MhEREScjhKgvC4pETZ9DGvG2wqdC5S0FTqXaWx2ZCIiIk5LCVBeFnUSFg2GYxtt7Qe6QoePwKewuXGJiIg4OSVAedXeRfDDS3A9CjzzQbtJUPNfKnQWERHJBCVAeU1cNPz8Ouz82ta+70Ho9rkKnUVERLLAzewA1q9fT8eOHQkKCsJisbBkyZK7LrNu3ToefPBBvL29KVeuHNOnT8/5QJ3ByTCY3uRm8mOBJq9A/5VKfkRERLLI9AQoJiaGmjVr8tlnn2Vq/vDwcNq1a0eTJk3YsWMHb775JsOGDWPhwoU5HKmJkhJh/SSY3QouhUPBYOj7Izz6tu7yEhERsYPpl8Datm1L27ZtMz3/9OnTKVWqFB9//DEAVapUISwsjA8//JDu3bvnUJQmunwCFj0Dx3+ztR/odrPQuZCpYYmIiORlpp8ByqrNmzfTqlWrVH2tW7cmLCyM+Ph4k6LKIXsXwrRGtuTHMx90mQ49vlDyIyIikk2mnwHKqjNnzlCiRIlUfSVKlCAhIYELFy4QGBiYZpm4uDji4uJS2leuXAEgPj7eOZOmuGjcV76B257vAEi6ry6JnadB4bKQkGBycBlL3pdOuU9dmMbFOWlcnI/GxDndOi6OHJs8lwABWG671dswjHT7k02YMIExY8ak6V+1ahW+vr6ODzAbCscc4sGj0/G7cQ4DC38HdOJA8c4Ym/8E/jQ7vEwJDQ01OwRJh8bFOWlcnI/GxDmFhoZy7do1h60vzyVAAQEBnDlzJlXfuXPn8PDwoGjRoukuM3LkSIYPH57SvnLlCsHBwbRq1YoCBQrkaLyZlpSI26aPcNs5CYuRiFEwmMTO0ygXXJ9yZseWSfHx8YSGhtKyZUusVhVnOwuNi3PSuDgfjYlzunVcYmNjHbbePJcANWjQgOXLl6fqW7VqFXXr1s3wC+vl5YWXl1eafqvV6hxf8kvHYPFgOL7Z1q7WA0v7yXjk0Vofp9mvkorGxTlpXJyPxsQ5Wa1WEhxYBmJ6EfTVq1fZuXMnO3fuBGy3ue/cuZPjx48DtrM3vXv3Tpl/yJAhHDt2jOHDh/Pnn3/yxRdfMHv2bF555RUzws++PQtgemNb8uOZH7rOhB6zVegsIiKSg0w/AxQWFkbz5s1T2smXqvr06cPcuXOJiIhISYYAypYty08//cTLL7/Mf/7zH4KCgvjkk0/y3i3w16/AT6/AbluhMyUfhu6fQ+EypoYlIiLiCkxPgJo1a5ZSxJyeuXPnpukLCQlh+/btORhVDjuxFRYOhMvHwOIGIa/bnursbvpwiIiIuAT9j5ubEhNgw2RYNxGMRChUCrrNglL1zI5MRETEpSgByi2Xjtme6Hxii61d43HbG9y9C5obl4iIiAtSApQbdv8PfhwBcVfAqwC0nwI1HjM7KhEREZelBCgnXY+CH1+BPf+ztYPrQ7eZULi0uXGJiIi4OCVAOeX4Flg0CC4fB4v7zULnESp0FhERcQL639jREhNg/SRY/wEYSVCoNHSfBcEPmx2ZiIiI3KQEyJEiw22Fzie32to1nrhZ6Owkr9sQERERQAmQ4xiG7XUWJ7eCV0HoMAWq9zA7KhEREUmH6a/CuGdYLNDhIyjXDJ7dqORHRETEiekMkCOVeAB6LzU7ChEREbkLnQESERERl6MESERERFyOEiARERFxOUqARERExOUoARIRERGXowRIREREXI4SIBEREXE5eg6QgyQmGWwNj+Rc9HX883vzcNkiuLtZzA5LRERE0qEEyAFW7I1gzPL9RERdT+kLLOjNqI5VaVMt0MTIREREJD26BJZNK/ZG8OxX21MlPwBnoq7z7FfbWbE3wqTIREREJCNKgLIhMclgzPL9GOlMS+4bs3w/iUnpzSEiIiJmUQKUDVvDI9Oc+bmVAUREXWdreGTuBSUiIiJ3pQQoG85FZ5z82DOfiIiI5A4lQNngn9/bofOJiIhI7lAClA0Ply1CYEFvMrrZ3YLtbrCHyxbJzbBERETkLpQAZYO7m4VRHasCpEmCktujOlbV84BEREScjBKgbGpTLZBpT9UhoGDqy1wBBb2Z9lQdPQdIRETECelBiA7QplogLasG6EnQIiIieYQSIAdxd7PQoHxRs8MQERGRTNAlMBEREXE5SoBERETE5SgBEhEREZejBEhERERcjhIgERERcTlKgERERMTlKAESERERl6MESERERFyOEiARERFxOS75JGjDMAC4cuWKyZHcW+Lj47l27RpXrlzBarWaHY7cpHFxThoX56MxcU63jktsbCzwz//j2eGSCVB0dDQAwcHBJkciIiIiWRUdHU3BggWztQ6L4Yg0Ko9JSkri9OnT5M+fH4tFLyx1lCtXrhAcHMyJEycoUKCA2eHITRoX56RxcT4aE+d067jkz5+f6OhogoKCcHPLXhWPS54BcnNzo2TJkmaHcc8qUKCAfnk4IY2Lc9K4OB+NiXNKHpfsnvlJpiJoERERcTlKgERERMTlKAESh/Hy8mLUqFF4eXmZHYrcQuPinDQuzkdj4pxyalxcsghaREREXJvOAImIiIjLUQIkIiIiLkcJkIiIiLgcJUAiIiLicpQASaaMHj0ai8WS6icgICDD+deuXZtmfovFwl9//ZWLUbuGU6dO8dRTT1G0aFF8fX2pVasWf/zxxx2XWbduHQ8++CDe3t6UK1eO6dOn51K0riOr46JjJueVKVMm3X08dOjQDJfRsZKzsjomjjxOXPJJ0GKfBx54gF9++SWl7e7uftdlDhw4kOqJqsWLF8+R2FzVpUuXaNSoEc2bN+fnn3/G39+fw4cPU6hQoQyXCQ8Pp127dgwaNIivvvqKTZs28dxzz1G8eHG6d++ee8Hfw+wZl2Q6ZnLOtm3bSExMTGnv3buXli1b8thjj6U7v46VnJfVMUnmiONECZBkmoeHxx3P+qTH398/U7/0xT4TJ04kODiYOXPmpPSVKVPmjstMnz6dUqVK8fHHHwNQpUoVwsLC+PDDD/VL3UHsGZdkOmZyzu3/Sb7//vuUL1+ekJCQdOfXsZLzsjomyRxxnOgSmGTawYMHCQoKomzZsjzxxBMcOXLkrsvUrl2bwMBAHn30UdasWZMLUbqWZcuWUbduXR577DH8/f2pXbs2n3/++R2X2bx5M61atUrV17p1a8LCwoiPj8/JcF2GPeOSTMdM7rhx4wZfffUV/fv3z/Cl2DpWcldmxiSZI44TJUCSKfXq1WPevHmsXLmSzz//nDNnztCwYUMuXryY7vyBgYHMnDmThQsXsmjRIu6//34effRR1q9fn8uR39uOHDnCtGnTqFixIitXrmTIkCEMGzaMefPmZbjMmTNnKFGiRKq+EiVKkJCQwIULF3I6ZJdgz7jomMldS5Ys4fLly/Tt2zfDeXSs5K7MjIkjjxM9CVrsEhMTQ/ny5XnttdcYPnx4ppbp2LEjFouFZcuW5XB0rsPT05O6devy22+/pfQNGzaMbdu2sXnz5nSXqVSpEv369WPkyJEpfZs2baJx48ZERERk+TKnpGXPuKRHx0zOad26NZ6enixfvjzDeXSs5K7MjEl67D1OdAZI7OLn50f16tU5ePBgppepX79+luaXuwsMDKRq1aqp+qpUqcLx48czXCYgIIAzZ86k6jt37hweHh4ULVo0R+J0NfaMS3p0zOSMY8eO8csvvzBw4MA7zqdjJfdkdkzSY+9xogRI7BIXF8eff/5JYGBgppfZsWNHluaXu2vUqBEHDhxI1ff3339TunTpDJdp0KABoaGhqfpWrVpF3bp1sVqtORKnq7FnXNKjYyZnzJkzB39/f9q3b3/H+XSs5J7Mjkl67D5ODJFMGDFihLF27VrjyJEjxpYtW4wOHToY+fPnN44ePWoYhmG88cYbxtNPP50y/0cffWQsXrzY+Pvvv429e/cab7zxhgEYCxcuNOsj3JO2bt1qeHh4GO+9955x8OBB4+uvvzZ8fX2Nr776KmWe28fmyJEjhq+vr/Hyyy8b+/fvN2bPnm1YrVZjwYIFZnyEe5I946JjJnckJiYapUqVMl5//fU003SsmCMrY+LI40QJkGTK448/bgQGBhpWq9UICgoyunXrZuzbty9lep8+fYyQkJCU9sSJE43y5csb3t7eRuHChY3GjRsbP/74owmR3/uWL19uVKtWzfDy8jIqV65szJw5M9X028fGMAxj7dq1Ru3atQ1PT0+jTJkyxrRp03IxYteQ1XHRMZM7Vq5caQDGgQMH0kzTsWKOrIyJI48TFUGLiIiIy1ENkIiIiLgcJUAiIiLicpQAiYiIiMtRAiQiIiIuRwmQiIiIuBwlQCIiIuJylACJiIiIy1ECJCIiIne1fv16OnbsSFBQEBaLhSVLlmRp+evXr9O3b1+qV6+Oh4cHXbp0ueP8mzZtwsPDg1q1atkd850oARIRlzR69GiH/GK9ceMGFSpUYNOmTdkP6hY//PADtWvXJikpyaHrFbFXTEwMNWvW5LPPPrNr+cTERHx8fBg2bBgtWrS447xRUVH07t2bRx991K5tZYYSIBEX17dvXywWS5qfQ4cOmR1ajnrllVdYvXp1ttczc+ZMSpcuTaNGjVL6MvrruG/fvnf9qzdZhw4dsFgsfPPNN9mOUcQR2rZty7hx4+jWrVu602/cuMFrr73Gfffdh5+fH/Xq1WPt2rUp0/38/Jg2bRqDBg0iICDgjtsaPHgwTz75JA0aNHDkR0hFCZCI0KZNGyIiIlL9lC1bNs18N27cMCG6nJEvXz6KFi2a7fV8+umnDBw40AERpdWvXz8+/fTTHFm3iKP169ePTZs28e2337J7924ee+wx2rRpw8GDB7O0njlz5nD48GFGjRqVQ5HaKAESEby8vAgICEj14+7uTrNmzXj++ecZPnw4xYoVo2XLlgDs37+fdu3akS9fPkqUKMHTTz/NhQsXUtaXlJTExIkTqVChAl5eXpQqVYr33nsPgLVr12KxWLh8+XLK/Dt37sRisXD06NGUvt9++42mTZvi4+NDcHAww4YNIyYmJmV6mTJlGD9+PP379yd//vyUKlWKmTNnpvpcJ0+e5IknnqBIkSL4+flRt25dfv/9dyDtJbBt27bRsmVLihUrRsGCBQkJCWH79u133G/bt2/n0KFDtG/fPkv7G+Do0aPpnnlr1qxZyjydOnVi69atHDlyJMvrF8lNhw8fZv78+Xz//fc0adKE8uXL88orr9C4cWPmzJmT6fUcPHiQN954g6+//hoPD48cjFgJkIjcxZdffomHhwebNm1ixowZREREEBISQq1atQgLC2PFihWcPXuWnj17piwzcuRIJk6cyNtvv83+/fv55ptvKFGiRKa3uWfPHlq3bk23bt3YvXs33333HRs3buT5559PNd/kyZOpW7cuO3bs4LnnnuPZZ5/lr7/+AuDq1auEhIRw+vRpli1bxq5du3jttdcyrKmJjo6mT58+bNiwgS1btlCxYkXatWtHdHR0hnGuX7+eSpUqUaBAgUx/tmTBwcGpzrjt2LGDokWL0rRp05R5Spcujb+/Pxs2bMjy+kVy0/bt2zEMg0qVKpEvX76Un3Xr1nH48OFMrSMxMZEnn3ySMWPGUKlSpRyOGLDrHfIics/o06eP4e7ubvj5+aX89OjRwzAMwwgJCTFq1aqVav63337baNWqVaq+EydOGIBx4MAB48qVK4aXl5fx+eefp7u9NWvWGIBx6dKllL4dO3YYgBEeHm4YhmE8/fTTxjPPPJNquQ0bNhhubm5GbGysYRiGUbp0aeOpp55KmZ6UlGT4+/sb06ZNMwzDMGbMmGHkz5/fuHjxYrpxjBo1yqhZs2aG+yUhIcHInz+/sXz58gznefHFF41HHnkkTT9geHt7p9qnfn5+hoeHh9G5c+c088fGxhr16tUzOnToYCQmJqaaVrt2bWP06NEZxiBiBsBYvHhxSvvbb7813N3djb/++ss4ePBgqp+IiIg0y/fp0yfNsXDp0iUDMNzd3VN+LBZLSt/q1asd+hly9vySiOQJzZs3Z9q0aSltPz+/lH/XrVs31bx//PEHa9asIV++fGnWc/jwYS5fvkxcXFy27t74448/OHToEF9//XVKn2EYJCUlER4eTpUqVQCoUaNGynSLxUJAQADnzp0DbJfVateuTZEiRTK1zXPnzvHOO+/w66+/cvbsWRITE7l27RrHjx/PcJnY2Fi8vb3TnfbRRx+ludPl9ddfJzExMc28AwYMIDo6mtDQUNzcUp+Y9/Hx4dq1a5n6DCJmqV27NomJiZw7d44mTZrYtY4CBQqwZ8+eVH1Tp07l119/ZcGCBenWJWaHEiARwc/PjwoVKmQ47VZJSUl07NiRiRMnppk3MDDwrvUqyf/B2/6ItImPj0+zjcGDBzNs2LA0y5cqVSrl31arNdU0i8WSconLx8fnjnHcrm/fvpw/f56PP/6Y0qVL4+XlRYMGDe5Y+F2sWLE0v7CTBQQEpNmn+fPnT1X7BDBu3DhWrFjB1q1byZ8/f5r1REZGUrx48Sx9FpGccPXq1VR3h4aHh7Nz506KFClCpUqV6NWrF71792by5MnUrl2bCxcu8Ouvv1K9enXatWsH2OoHb9y4QWRkJNHR0ezcuROAWrVq4ebmRrVq1VJt09/fH29v7zT9jqAESESypE6dOixcuJAyZcqkW6RYsWJFfHx8WL16dbp3RyX/Zx4REUHhwoUBUn4J3rqNffv2ZZiUZUaNGjWYNWsWkZGRmToLtGHDBqZOnZryi/rEiROpCrvTU7t2baZNm4ZhGFgslizHuHDhQsaOHcvPP/9M+fLl00y/fv06hw8fpnbt2llet4ijhYWF0bx585T28OHDAejTpw9z585lzpw5jBs3jhEjRnDq1CmKFi1KgwYNUo4pgHbt2nHs2LGUdvJ3+9Y/iHKLiqBFJEuGDh1KZGQk//rXv1LuUFq1ahX9+/cnMTERb29vXn/9dV577TXmzZvH4cOH2bJlC7NnzwagQoUKBAcHM3r0aP7++29+/PFHJk+enGobr7/+Ops3b2bo0KHs3LmTgwcPsmzZMl544YVMx/mvf/2LgIAAunTpwqZNmzhy5AgLFy5k8+bN6c5foUIF/vvf//Lnn3/y+++/06tXr7ueRWrevDkxMTHs27cv03El27t3L7179+b111/ngQce4MyZM5w5c4bIyMiUebZs2ZJyJkrEbM2aNcMwjDQ/c+fOBWxnZMeMGUN4eDg3btwgIiKCRYsWUb169ZR1HD16NN11ZGT06NFp/kByFCVAIpIlQUFBbNq0icTERFq3bk21atV48cUXKViwYMrlrbfffpsRI0bwzjvvUKVKFR5//PGU2hyr1cr8+fP566+/qFmzJhMnTmTcuHGptlGjRg3WrVvHwYMHadKkCbVr1+btt98mMDAw03F6enqyatUq/P39adeuHdWrV+f999/H3d093fm/+OILLl26RO3atXn66acZNmwY/v7+d9xG0aJF6datW6papcwKCwvj2rVrjBs3jsDAwJSfWx8yN3/+fHr16oWvr2+W1y8id2YxzDjvJCJyj9izZw8tWrTg0KFD6dbw2Ov8+fNUrlyZsLAwhxd/iogSIBGRbPvyyy+pU6dOqlP92bV161bCw8N5/PHHHbZOEfmHEiARERFxOaoBEhEREZejBEhERERcjhIgERERcTlKgERERMTlKAESERERl6MESERERFyOEiARERFxOUqARERExOUoARIRERGX8/8gupI8bAmxvgAAAABJRU5ErkJggg==", @@ -221,6 +185,8 @@ "# Realizamos un ajuste lineal de la energÃa cinetica en función de la frecuencia\n", "m, b = np.polyfit(datos['f'], datos['K'], 1)\n", "# dm = np.sqrt(np.sum((datos['K'] - m*datos['f'] - b)**2) / (len(datos) - 2) / np.sum((datos['f'] - datos['f'].mean())**2))\n", + "print(f'La pendiente es {m:.3e} J')\n", + "print(f'La ordenada al origen es {b:.3e} J')\n", "\n", "# Graficamos la energÃa cinetica en función de la frecuencia\n", "plt.errorbar(datos['f'], datos['K'], xerr=c/datos['lambda']**2*dL, yerr=de, fmt='o')\n",