{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d9f98828",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "h = np.linspace(0, 30, 200)  # altitude em km\n",
    "I = np.exp(-h / 8)           # atenuação exponencial\n",
    "plt.plot(h, I)\n",
    "plt.xlabel('Altitude (km)')\n",
    "plt.ylabel('Intensidade (rel.)')\n",
    "plt.title('Intensidade de Raios Cósmicos vs Altitude')\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "60d4c2ac",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Parâmetros da simulação\n",
    "N = 100000  # número de múons simulados\n",
    "thickness_cm = 2.5\n",
    "density = 1.02  # g/cm3 (plástico)\n",
    "X = thickness_cm * density  # espessura mássica (g/cm2)\n",
    "\n",
    "# Perda média de energia (estimada)\n",
    "mean_loss = 2.0 * X  # MeV\n",
    "sigma = 0.2 * mean_loss  # desvio padrão (flutuação estatística)\n",
    "\n",
    "# Simulação com distribuição gaussiana\n",
    "dE = np.random.normal(loc=mean_loss, scale=sigma, size=N)\n",
    "\n",
    "# Remover valores negativos que não fazem sentido fisicamente\n",
    "dE = dE[dE > 0]\n",
    "\n",
    "# Gráfico\n",
    "plt.hist(dE, bins=100, density=True, alpha=0.7, color='skyblue', edgecolor='black')\n",
    "plt.xlabel('Perda de energia (MeV)')\n",
    "plt.ylabel('Densidade de probabilidade')\n",
    "plt.title('Simulação da perda de energia de múons (distribuição Gaussiana)')\n",
    "plt.grid(True)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "f7580cd3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Definição da faixa de energia (10^9 a 10^20 eV)\n",
    "E = np.logspace(9, 20, 500)  # energia em eV\n",
    "gamma = -2.7\n",
    "k = 1e20  # constante de normalização arbitrária\n",
    "\n",
    "# Espectro de energia com lei de potência\n",
    "phi = k * E**gamma\n",
    "\n",
    "# Gráfico log-log\n",
    "plt.figure(figsize=(8, 5))\n",
    "plt.loglog(E, phi, label=r'$\\Phi(E) = k \\cdot E^{-2.7}$', color='blue')\n",
    "plt.xlabel('Energia (eV)')\n",
    "plt.ylabel(r'Fluxo $\\Phi(E)$ (unidades arbitrárias)')\n",
    "plt.title('Espectro de Energia com Lei de Potência ($gamma = -2.7$)')\n",
    "plt.grid(True, which='both', linestyle='--', linewidth=0.5)\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "d1687b73",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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MfRQsu3btGmrWrKluf/jwodbRK09PT6Slpektr4MGDcJ7770HW1tbBAYGPrOfnZ2dVu4B7fy7u7tDpVLh2rVr6qNWABAbG4ukpKTn5uF5KleujKFDh2Lo0KFIS0tD27ZtMX369CIVNy8SFhaGR48eYdu2bWjbtq26PSoqqkjr6+M987IK8nrlyhWtZZcvX4a9vT0sLS3VbVWrVsWHH36IDz/8EHFxcWjatCnmzJnz3OJGH+/r8+fP4+rVq1i/fj0GDx6sbn/RzDcqW3haikqVzMxMbNu2DT169MAbb7yh9TV69GikpqZi586dAKD+Zfn0h15AQACsra0xd+5c5Obmau3n6Wm4ReHu7g6ZTKY1pmT58uUajwv+wn36L9rFixdrPJZKpejduzf++OMPnDp1Smt/BevLZDKtbW3ZsgXR0dEabYGBgYiJicHmzZvVbXl5eViyZAmsrKzUh90L4+/vD7lcjiVLlmjs6+mYgfy/usPDw/Hnn39qLUtKSkJeXt4z91OYN954A9OmTcPy5cthamr6zH6enp5ITk7WOB304MED/P777xr9Cgqkp2NftGgRALzwGjqFeXoKv5WVFby8vLSmlhdXYT8zOTk5Wj9bhdHXe+ZlVa1aFT4+Pli/fr3Gti9cuID9+/erXxelUql16sfR0REuLi4vzKc+3teF5VoIgW+//faF61LZwSM3VKrs3LkTqamp6NWrV6HLX331VfXFyQYMGAAfHx/IZDIsWLAAycnJMDMzQ8eOHeHo6IgVK1bgnXfeQdOmTfHmm2/CwcEBd+7cwe7du9GqVSssXbpUp9hsbGzQr18/LFmyBBKJBJ6enti1a5fWeX5ra2u0bdsWX375JXJzc+Hq6or9+/cX+lf43LlzsX//frRr1w7vv/8+6tWrhwcPHmDLli04cuQIbG1t0aNHD8ycORNDhw5Fy5Ytcf78eWzcuFHjCAuQP2j1+++/x5AhQ3D69Gl4eHhg69atOHr0KBYvXvzcsSwF1/WZN28eevTogcDAQJw9exZ79+7VODoEABMnTsTOnTvRo0cPDBkyBM2aNUN6ejrOnz+PrVu34tatW1rrvCivT17D5FnefPNNfPrpp+jTpw/GjBmDjIwMrFixArVr19YYWO3t7Y2goCD88MMP6tM9J0+exPr169G7d2/1gFtd1K9fH+3bt0ezZs1QuXJlnDp1Clu3bsXo0aN13lZhWrZsCTs7OwQFBWHMmDGQSCTYsGFDkU756PM987IWLlyIbt26wc/PD++++y4yMzOxZMkSjdc4NTUV1apVwxtvvAFvb29YWVnhwIED+Oeff/D1118/d/vW1tYv/b6uW7cuPD098fHHHyM6OhrW1tb47bffij2+jkop40zSIipcz549hUKhEOnp6c/sM2TIECGXy0V8fLwQQohVq1aJmjVrCplMpjU19eDBgyIgIEDY2NgIhUIhPD09xZAhQ8SpU6fUfYKCgoSlpaXWfgq7fsrDhw9F3759hYWFhbCzsxMffPCBuHDhgtZU8Hv37ok+ffoIW1tbYWNjI/r16yfu378vAIhp06ZpbPP27dti8ODBwsHBQQAQbm5uYtSoUSI7O1sIkT8VfMKECaJq1arC3NxctGrVSoSHh4t27dqJdu3aaWwrNjZWDB06VNjb2wtTU1PRqFEjjbieR6lUihkzZqj30759e3HhwgXh7u6uMRVciPwpuZMnTxZeXl7C1NRU2Nvbi5YtW4qvvvpK5OTkPHc/T04Ff5bCpoILIcT+/ftFw4YNhampqahTp474+eefC32dcnNzxYwZM0SNGjWEXC4Xbm5uYvLkyVpTqt3d3Qud4v10bmfPni2aN28ubG1thbm5uahbt66YM2fOC59rwVTwp6f6F3ZZgaNHj4pXX31VmJubCxcXF/HJJ5+op2EXNm27gD7fM8/KBwCtqdsFl0BYuHChRvuBAwdEq1athLm5ubC2thY9e/YUFy9eVC/Pzs4WEydOFN7e3qJSpUrC0tJSeHt7a1xTSojCp4IXeJn3tRBCXLx4Ufj7+wsrKythb28vhg8fLiIjI7Xex1R2SYQoxmgwIjKI9957D82bN8f7779v7FCIiMosjrkhKkV69uyJn3/+2dhhEBGVaRxzQ1QK7N69G/fv38euXbuQlpZm7HCIiMo0FjdEpcC9e/cQHByMSpUqYcWKFcYOh4ioTOOYGyIiIipXOOaGiIiIyhUWN0RERFSusLghIiKicqVCDihWqVS4f/8+KlWqZLD7rBAREZF+CSGQmpoKFxcXrZuiPqlCFjf379+Hm5ubscMgIiKiYrh79y6qVav2zOUVsrgpuMfO3bt3YW1trbft5ubmYv/+/ejSpQvkcrnetkv5mF/DYW4Ni/k1LObXcEpbblNSUuDm5vbce+UBFbS4KTgVZW1trffixsLCAtbW1qXih6C8YX4Nh7k1LObXsJhfwymtuX3RkBIOKCYiIqJyhcUNERERlSssboiIiKhcqZBjboiISgshBPLy8qBUKo0dSpmVm5sLExMTZGVlMY96VtK5lclkMDExeenLtLC4ISIykpycHDx48AAZGRnGDqVME0LA2dkZd+/e5bXL9MwYubWwsEDVqlVhampa7G2wuCEiMgKVSoWoqCjIZDK4uLjA1NSUH8zFpFKpkJaWBisrq+de2I10V5K5FUIgJycHDx8+RFRUFGrVqlXsfbK4ISIygpycHKhUKri5ucHCwsLY4ZRpKpUKOTk5UCgULG70rKRza25uDrlcjtu3b6v3Wxz8KSAiMiJ+GBNp0sd7gu8qIiIiKleMXtwcPnwYPXv2hIuLCyQSCbZv3/7CdcLCwtC0aVOYmZnBy8sL69atM3icRERUPO+88w7mzp2r0zr79u2Dj48PVCqVgaKq2IrzmhTFunXrIJfL0alTJyQnJ2stL6nX1ejFTXp6Ory9vbFs2bIi9Y+KikL37t3RoUMHREREYNy4cXjvvffw559/GjhSIiICgCFDhkAikWD+/Pka7du3b9caFB0ZGYk9e/ZgzJgxAPJ/53t6eiI4OFij361bt2BtbY1Vq1YBALp27Qq5XI6NGzca8JkA06dPh0QiwYgRIzTaIyIiIJFIcOvWLXXbnTt30L17d1hYWMDR0RETJ05EXl7eC/cRFhaG6dOn6zny4nv6NXmaUqlEy5Yt8frrr2u0Jycnw83NDVOmTNFov337NszNzZGWloYBAwbg5MmTOH/+PJYvX6617ZJ6XY1e3HTr1g2zZ89Gnz59itR/5cqVqFGjBr7++mvUq1cPo0ePxhtvvIFvvvnGwJESEVEBhUKBBQsWIDEx8bn9lixZgn79+sHKygoAYGlpibVr12LJkiX4+++/AeTPkhk6dChatWqF4cOHq9cdMmQIvvvuO8M9iccUCgVWr16Na9euPbOPUqlE9+7dkZOTg2PHjmH9+vVYt24dvvjii2eus3LlSsTFxakf5+Tk4Ouvv0Zubq5e49fV06/J02QyGdatW4d9+/ZpFCEfffQRKleujGnTpmn037FjBzp06AArKyuYm5ujSZMm+PDDD/Hzzz8Xuv2SeF3L3Gyp8PBw+Pv7a7QFBARg3Lhxz1wnOzsb2dnZ6scpKSkA8i9OpM8fsjVHorD3qhSuDRPgXb2y3rZL+QpeK2P/YiiPmFvDKiy/ubm5EEJApVKVuVMvQgh06tQJN27cwNy5c7FgwQIAUD+Pgv+VSiW2bt2KDRs2aDzH1q1bY/To0Rg6dCjOnj2LH3/8ERERETh37pxGv+7du2P06NG4du0aPD09nxtPwf+65lIIgTp16sDBwQGfffYZNm/erPVcVCoV9u3bh4sXL2L//v1wcnJC48aNMWPGDEyePBlffPFFoddkcXV1Ra9evdC8eXPcv38fHTt2RO/evZ8Zp0qlwpdffolVq1YhJiYGtWvXxpQpU/DGG29ACIGAgABIpVLs3bsXEokECQkJ8PHxwdChQzFjxgyEhYWhU6dO2LlzJ6ZMmYKrV6/Cx8cHP/zwAxo2bPjc1+RpXl5emDdvHsaOHYtXXnkFBw8exKZNm3DixAmYmJhorLtjxw707dtXo6158+aYMWMGTp8+jSZNmmhs+0Wvq0qlghACubm5kMlkGsuK+juqzBU3MTExcHJy0mhzcnJCSkoKMjMzYW5urrXOvHnzMGPGDK32/fv363UK5u8XpbicLMXW0BOIdhJ62y5pCgkJMXYI5RZza1hP5tfExATOzs5IS0tDTk4OgPwP2qzcki90FHKpTtfYKSjMpkyZguHDh2PIkCFwdXVFZmYmgP/+gDx37hySk5NRp04ddVuBTz75BLt378bAgQPx119/4ZtvvkGlSpU0+tna2sLR0REhISFwcHAoNJZff/1V6xRXYX1atmxZ6LLs7GwolUpMnToVHTt2xKFDh9CkSROkp6cDANLS0pCSkoJDhw6hfv36MDc3V8fYqlUrpKSk4OTJk2jcuLHWttu0aYPNmzejS5cuuHfvHvbu3YvGjRs/86KNX331FbZs2YKvvvoKnp6eOHbsGAYPHgxLS0u0atUK3333HVq1aoWFCxdixIgRGD58OJydnTF27FikpKSotztx4kTMmzcPjo6OmDVrFnr27IlTp05BLpc/9zV52uDBg7F161aMGDECFy9exCeffIIaNWporJecnIwjR45g6dKlGu0//vgjAGDt2rVaBcyLXtecnBxkZmbi8OHDWqf9inrByzJX3BTH5MmTNX74U1JS4Obmhi5dusDa2lpv+zmtuojLJ+7BzMEdgYH19bZdypebm4uQkBB07twZcrnc2OGUK8ytYRWW36ysLNy9exdWVlbqa3lk5OShyYKSLzAvTO8MC9OifxzI5XKYmJhg0KBBWLZsGb7++mv8+OOP6j8uC36vxsfHQyaTwdPTU6t4sra2xrfffovAwEB07dpV43TUk1xdXREXF/fM39UDBgxAu3btkJ6eDktLy0KLNFdX10L/8AUAMzMzyGQytGnTBv369cPs2bMREhICS0tLAICVlRWsra2RmJiIqlWrasRR8KGdmppaaHz79u3DrFmzEBAQgPv372PKlCno27cvRo0apXVEIjs7G9988w32798PPz8/AEDjxo1x+vRp/Pzzz+jWrRusra2xcuVKDBkyBElJSQgJCcHp06dRuXL+mYKCP9anTZuG1157DQDw888/o3r16ggNDUX//v2f+5oUZuXKlWjYsCEaNWqEL774AiYmmj8nu3btQuPGjVGnTh112927d/HHH3+gV69e+P3337F48WKt6d3Pe12zsrJgbm6Otm3bal3n5kUFWYEyV9w4OzsjNjZWoy02NhbW1tbP/eE1MzPTapfL5Xr9RV7bOf9FikrI5AeEAen7daP/MLeG9WR+lUolJBIJpFKp+he/sa5582QMRSGRSNSxL1iwAB07dsTEiRO1nkd2dra6eCjM2rVrYWFhgQsXLiA1NRU2NjZafczNzZGZmfnM+GxsbNRHfKytrXXOYcEHvFQqxZw5c1CvXj0cOHAAjo6O6napVKrxnAs8+XwL2+/t27exY8cOXLx4EWFhYfjll1/UY02e7n/z5k1kZGQgICBAoz0nJwdNmjRR9x8wYAB27NiBBQsWYMWKFRpFRUGfVq1aqb+3t7dHnTp1cOXKFUil0kJfk7lz52rMnLp48SKqV68OIH/2k4WFBaKionD//n14eHhoxFdQxDz5fJYvX4769etj1apVcHV1RVhYmNZwkue9rgX5Luz3UVF/P5W54sbPzw979uzRaAsJCVFXusbk5ZBf6V+PSzdyJERUFpnLZbg4M+DFHQ2w3+Jq27YtAgICMHnyZAwZMkRjmb29PTIyMpCTk6M1JmXz5s3YtWsXwsPDMXDgQIwfPx5r1qzR2n5CQsIzT0kBwMaNG/HBBx88N8a9e/eiTZs2L3wunp6eGD58OCZNmoTVq1drLHN2dsbJkyc12gr+0HZ2di50eyNHjgSQXywAgKmpKT7++ONC+6alpQEAdu/eDVdXV41lT/5xnpGRgdOnT0Mmkz13APSzFPaajBgxAv3791f3cXFxAQAcO3YMixcvxrZt27B48WK8++67OHDggLogzMnJwb59+/DZZ59pxLdq1SosWrQIjo6OCAgIwMaNG7WKmxe9ri/L6MVNWloarl+/rn4cFRWFiIgIVK5cGdWrV8fkyZMRHR2Nn376CUD+i7B06VJ88sknGDZsGP766y/8+uuv2L17t7GegpqnQ/7I8/vJWUjLzoOVmdHTS0RliEQi0en0UGkxf/58+Pj4aBxFAAAfHx8A+R/uBd8D+UXBqFGjMHv2bHh7e2PdunVo2bIl+vXrh27duqn7ZWVl4caNG1oDUp/Uq1cvvPLKK8+9/9HTxcLzfPHFF/D09MSmTZs02v38/DBnzhzExcWpj+qEhITA2toa9es/fxhC+/bt0b59++f2qV+/PszMzHDnzh20a9fumf0mTJigHlQcGBiI7t27o2PHjhp9jh8/rj7ykpiYiKtXr6JevXoACn9NKleurD61VSAjIwNDhgzBiBEj0KZNGzRo0ADe3t5YuXKlumgLCwuDnZ0dvL291eutX78eCoUCgwYNAgC8/fbb+OCDD7B8+XL12ZWivK4vTRjZwYMHBQCtr6CgICGEEEFBQaJdu3Za6/j4+AhTU1NRs2ZNsXbtWp32mZycLACI5ORk/TyJx3JyckTDqX8I9093iYg7iXrdNuXnd/v27SInJ8fYoZQ7zK1hFZbfzMxMcfHiRZGZmWnEyIonKChIvPbaaxpt77zzjlAoFOLpj5WmTZuKJUuWaLT16tVLtG7dWiiVSnXbpEmTRLVq1URSUpK67eDBg8LKykqkp6c/Nx6lUikSExM1tldU06ZNE97e3hptn3/+ufq5REVFCSGEyMvLEw0bNhRdunQRERERYt++fcLBwUFMnjxZ530+y5QpU0SVKlXEunXrxPXr18Xp06fFd999J9atWyeEEGLXrl3C1NRUnD59WgghxOTJk0W1atVEQkKCEOK/z9MGDRqIAwcOiPPnz4tevXqJ6tWri+zsbPV+CntNnjZmzBjh5eUlUlNT1blduXKlsLKyUudk1KhR4qOPPlKvo1KpRN26dcXs2bPVbRkZGaJSpUpi8+bN6rYXva7Pe28U9fPb6MWNMRiyuPGfs1O4f7pLbD11V6/bJn4AGxJza1gVobiJiooSpqamWsXN8uXLxauvvqp+vH79emFhYSGuXbum0S87O1s0bNhQDB06VN32/vvviw8++OCF8ei7uElOThb29vYaxY0QQty6dUt069ZNmJubC3t7ezFhwgSRm5ur8z6fRaVSicWLF4s6deoIuVwuHBwcREBAgDh06JCIi4sTTk5OYu7cuer+OTk5olmzZqJ///5CiP+Kmz/++EM0aNBAmJqaiubNm4vIyEiN/Tz9mjwtLCxMyGQy8ffff2vltkuXLqJjx45CpVIJNzc3ERISol5v7969wsLCQsTHx2tsb+jQoaJnz57qxy96XVncFJMhi5u3F+UXN/P2XNLrtokfwIbE3BpWeStudJGRkSHc3NzEsWPHdFrv4cOHonLlyuLmzZsv7PsyxU15UlDcJCYmPrefLq/Js3J7+vRpYWNjo/PvjKK8rvoobox+heLyxski//o21+NSjRwJEZHxmZub46effkJ8fLxO6926dQvLly9HjRo1DBRZxVXc1+RJeXl5WLJkic6zK0vqdS17I9dKOefHs9GvxaUZNxAiolLiRYNpC+Pr6wtfX1/9B0MAiveaPKl58+Zo3ry5zuuV1OvK4kbPnMzzj9zcSchAVq4SipeYYklERFRU7du3V9+KoqLjaSk9qyQHbM3lEAK4+ZDXuyEiIippLG70TCIBvBzzL+Z3jeNuiIiIShyLGwPwVF+pmONuiOj5eBqBSJM+3hMsbgyg4ErF12JZ3BBR4QpmmRT1LsdEFUXBe+Jl7nPHAcUGUHBa6vpDFjdEVDiZTAZbW1vExcUByL+jc1Hu0kzaVCoVcnJykJWVZbSbj5ZXJZlbIQQyMjIQFxcHW1vbZ95wtShY3BiA1+MjN7fi05GTp4KpCd9sRKSt4IaLBQUOFY8QApmZmTA3N2eBqGfGyK2tre0zb0ZaVCxuDMDZ2gxWZiZIy87D7UfpqOVUydghEVEpJJFIULVqVTg6OiI3N9fY4ZRZubm5OHz4MNq2bftSpzJIW0nnVi6Xv9QRmwIsbgxAIpHA09EKkXeTcC0ujcUNET2XTCbTyy/0ikomkyEvLw8KhYLFjZ6V1dzyfImB1HLkoGIiIiJjYHFjIAXFDQcVExERlSwWNwbipT5ywwv5ERERlSQWNwZSyzF/nM3N+HTkKVVGjoaIiKjiYHFjIK525lDIpcjJU+FuYqaxwyEiIqowWNwYiEwqUV+pmLdhICIiKjksbgxIPe6GN9AkIiIqMSxuDEg9Y4rTwYmIiEoMixsD8no8qPgaT0sRERGVGBY3BlTL6b/TUkrVy9/CnYiIiF6MxY0BeVSxhJmJFFm5KtxJyDB2OERERBUCixsDkkklqP34vlJXYlKMHA0REVHFwOLGwOo65xc3lx5wxhQREVFJYHFjYHWcC47csLghIiIqCSxuDKxeVWsAwGWeliIiIioRLG4MrODIze2EDGTk5Bk5GiIiovKPxY2B2VuZwd7KDEIAV3kxPyIiIoNjcVMCCgYVX37AU1NERESGxuKmBKiLGw4qJiIiMjgWNyWgLgcVExERlRgWNyWg7hPTwYXgbRiIiIgMicVNCfBytIJUAiRm5CIuNdvY4RAREZVrLG5KgEIuQw17SwAcd0NERGRoLG5KiHrcDWdMERERGRSLmxJS14m3YSAiIioJLG5KSMGRm0ssboiIiAyKxU0JKZgxdSMuDblKlZGjISIiKr9Y3JQQV1tzWJmZIEepQlR8urHDISIiKrdY3JQQqVSC2k5WADhjioiIyJBY3JQgzpgiIiIyPBY3JejJKxUTERGRYbC4KUF1nQvuMcXihoiIyFBY3JSgOo+vdROdlImUrFwjR0NERFQ+sbgpQTYWcrjYKADw1BQREZGhsLgpYRxUTEREZFgsbkpY/cfFzb/3WdwQEREZAoubEtbAJb+4uXA/2ciREBERlU8sbkpYQ1cbAMDVmDTk5PE2DERERPrG4qaEVbMzh7Ui/zYM1+I4qJiIiEjfWNyUMIlEggYu+UdvOO6GiIhI/1jcGEFD18eDiqM57oaIiEjfdC5u9u3bhyNHjqgfL1u2DD4+Phg0aBASExP1Glx5VTDu5gKP3BAREemdzsXNxIkTkZKS/6F8/vx5TJgwAYGBgYiKikJwcLDeAyyPCmZMXXqQAqVKGDkaIiKi8sVE1xWioqJQv359AMBvv/2GHj16YO7cuThz5gwCAwP1HmB5VMPeCuZyGTJylIiKT4eXo5WxQyIiIio3dD5yY2pqioyMDADAgQMH0KVLFwBA5cqV1Ud0dLVs2TJ4eHhAoVCgRYsWOHny5HP7L168GHXq1IG5uTnc3Nwwfvx4ZGVlFWvfxiCTSlCvav59pv7l9W6IiIj0SufipnXr1ggODsasWbNw8uRJdO/eHQBw9epVVKtWTecANm/ejODgYEybNg1nzpyBt7c3AgICEBcXV2j/X375BZMmTcK0adNw6dIlrF69Gps3b8Znn32m876NqWDcDWdMERER6ZfOxc3SpUthYmKCrVu3YsWKFXB1dQUA7N27F127dtU5gEWLFmH48OEYOnQo6tevj5UrV8LCwgJr1qwptP+xY8fQqlUrDBo0CB4eHujSpQsGDhz4wqM9pU3Dx9PBL3DGFBERkV7pPOamevXq2LVrl1b7N998o/POc3JycPr0aUyePFndJpVK4e/vj/Dw8ELXadmyJX7++WecPHkSzZs3x82bN7Fnzx688847Ou/fmOq7/HePKSEEJBKJkSMiIiIqH3QubgDgxo0bWLt2LW7cuIFvv/0Wjo6O2Lt3L6pXr44GDRoUeTvx8fFQKpVwcnLSaHdycsLly5cLXWfQoEGIj49H69atIYRAXl4eRowY8dzTUtnZ2cjOzlY/LhgblJubi9zc3CLH+yIF2yrKNmtUVkAukyA5Mxe3Hqaimp253uIor3TJL+mGuTUs5tewmF/DKW25LWocOhc3hw4dQrdu3dCqVSscPnwYc+bMgaOjIyIjI7F69Wps3bpV52B1ERYWhrlz52L58uVo0aIFrl+/jrFjx2LWrFn4/PPPC11n3rx5mDFjhlb7/v37YWFhofcYQ0JCitTPSSHDvXQJNuwKg3cVTgkvqqLml3TH3BoW82tYzK/hlJbcFkxoehGJEEKnT1U/Pz/069cPwcHBqFSpEiIjI1GzZk2cPHkSr7/+Ou7du1fkbeXk5MDCwgJbt25F79691e1BQUFISkrCjh07tNZp06YNXn31VSxcuFDd9vPPP+P9999HWloapFLtYUSFHblxc3NDfHw8rK2tixzvi+Tm5iIkJASdO3eGXC5/Yf/Ptv+LLaej8WG7mhjv76W3OMorXfNLRcfcGhbza1jMr+GUttympKTA3t4eycnJz/381vnIzfnz5/HLL79otTs6OiI+Pl6nbZmamqJZs2YIDQ1VFzcqlQqhoaEYPXp0oetkZGRoFTAymQwA8Kw6zczMDGZmZlrtcrncIC9WUbfbuJottpyOxqWY1FLxQ1NWGOp1I+bW0Jhfw2J+Dae05LaoMehc3Nja2uLBgweoUaOGRvvZs2fVM6d0ERwcjKCgIPj6+qJ58+ZYvHgx0tPTMXToUADA4MGD4erqinnz5gEAevbsiUWLFqFJkybq01Kff/45evbsqS5yyooGvA0DERGR3ulc3Lz55pv49NNPsWXLFkgkEqhUKhw9ehQff/wxBg8erHMAAwYMwMOHD/HFF18gJiYGPj4+2Ldvn3qQ8Z07dzSO1EydOhUSiQRTp05FdHQ0HBwc0LNnT8yZM0fnfRtbPWdrSCXAw9RsxKVkwdFaYeyQiIiIyjydi5u5c+di1KhRcHNzg1KpRP369aFUKjFo0CBMnTq1WEGMHj36maehwsLCNAM2McG0adMwbdq0Yu2rNDE3lcHTwQrX4tLw7/0UFjdERER6oHNxY2pqilWrVuGLL77A+fPnkZaWhiZNmqBWrVqGiK/ca+Bi/bi4SUaHuo7GDoeIiKjM0/kKxTNnzkRGRgbc3NwQGBiI/v37o1atWsjMzMTMmTMNEWO5VnAbhgvRHHdDRESkDzoXNzNmzEBaWppWe0ZGRqHXkqHna1BwGwbeQJOIiEgvdC5unnWrgMjISFSuXFkvQVUkDVzz5+nfS8xEQnqOkaMhIiIq+4o85sbOzg4SiQQSiQS1a9fWKHCUSiXS0tIwYsQIgwRZnlkr5PB0sMSNh+mIvJeEDnU47oaIiOhlFLm4Wbx4MYQQGDZsGGbMmAEbGxv1MlNTU3h4eMDPz88gQZZ33m62+cXNXRY3REREL6vIxU1QUBAAoEaNGmjZsmWpuFJheeHjZottZ6IRcTfJ2KEQERGVeTpPBW/Xrh1UKhWuXr2KuLg4qFQqjeVt27bVW3AVhXc1WwBA5N2kZ45pIiIioqLRubg5fvw4Bg0ahNu3b2vdy0kikUCpVOotuIqibtVKMJVJkZiRi7sJmaheRf93KiciIqoodJ4tNWLECPj6+uLChQtISEhAYmKi+ishIcEQMZZ7ZiYy1HPJnzUVcS/JuMEQERGVcTofubl27Rq2bt0KLy8vQ8RTYflUs0Hk3SRE3k1CL28XY4dDRERUZul85KbgTtykX95utgDyx90QERFR8el85Oajjz7ChAkTEBMTg0aNGmnNmmrcuLHegqtICoqbC/eTkatUQS7Tue4kIiIiFKO46du3LwBg2LBh6jaJRKKe5cMBxcVTo4olrBUmSMnKw5WYVPU9p4iIiEg3Ohc3UVFRhoijwpNKJfB2s8Xf1+IReS+JxQ0REVEx6VzcuLu7GyIOQv71bv6+Fo/Iu0l4qwXzTEREVBzFGtixYcMGtGrVCi4uLrh9+zaA/Nsz7NixQ6/BVTT/DSrmHcKJiIiKS+fiZsWKFQgODkZgYCCSkpLUY2xsbW2xePFifcdXoXhXyz8VdTUuFWnZeUaOhoiIqGzSubhZsmQJVq1ahSlTpkAmk6nbfX19cf78eb0GV9E4WivgYqOAEMCFaB69ISIiKg6di5uoqCg0adJEq93MzAzp6el6Caoi4/VuiIiIXo7OxU2NGjUQERGh1b5v3z7Uq1dPHzFVaOrihrdhICIiKhadZ0sFBwdj1KhRyMrKghACJ0+exP/+9z/MmzcPP/74oyFirFAK7hAecSfJqHEQERGVVToXN++99x7Mzc0xdepUZGRkYNCgQXBxccG3336LN9980xAxViiNqtlAIgHuJ2chLiULjtYKY4dERERUpuhc3ADAW2+9hbfeegsZGRlIS0uDo6OjvuOqsKzMTFDbsRKuxKYi8l4yOtdncUNERKQLncfczJ49W32VYgsLCxY2BuDtlj8l/OydRCNHQkREVPboXNxs2bIFXl5eaNmyJZYvX474+HhDxFWhNa1uBwA4dZvFDRERka50Lm4iIyNx7tw5tG/fHl999RVcXFzQvXt3/PLLL8jIyDBEjBWOr0d+cRN5Nwk5eSojR0NERFS2FOv2Cw0aNMDcuXNx8+ZNHDx4EB4eHhg3bhycnZ31HV+FVNPeCrYWcmTnqfDvfV7Mj4iISBfFKm6eZGlpCXNzc5iamiI3N1cfMVV4UqkEzR6fmjrNU1NEREQ6KVZxExUVhTlz5qBBgwbw9fXF2bNnMWPGDMTExOg7vgqr2eNTU6dusbghIiLShc5TwV999VX8888/aNy4MYYOHYqBAwfC1dXVELFVaL7ulQHkDyoWQkAikRg5IiIiorJB5+KmU6dOWLNmDerXr2+IeOixxtVsIJdJEJ+WjbsJmahexcLYIREREZUJOp+WmjNnDgubEqCQy9DQNf96N6duJxg5GiIiorKjSEdugoODMWvWLFhaWiI4OPi5fRctWqSXwAjwdbfD2TtJOHU7Ea83rWbscIiIiMqEIhU3Z8+eVc+EOnv27DP7cVyIfjVzr4xVf0fhNAcVExERFVmRipuDBw8W+j0ZVjP3/BlTV+NSkZyZCxtzuZEjIiIiKv10HnPz888/80rEJcShkhk8qlhACOAM7zNFRERUJDoXN+PHj4ejoyMGDRqEPXv2QKlUGiIueqzZ4ynhPDVFRERUNDoXNw8ePMCmTZsgkUjQv39/VK1aFaNGjcKxY8cMEV+FV3CfKc6YIiIiKhqdixsTExP06NEDGzduRFxcHL755hvcunULHTp0gKenpyFirNB8H4+7ibibhFwlb6JJRET0IjpfxO9JFhYWCAgIQGJiIm7fvo1Lly7pKy56zNPBCjbmciRn5uLi/RR4u9kaOyQiIqJSrVj3lsrIyMDGjRsRGBgIV1dXLF68GH369MG///6r7/gqPKlUop41dYo30SQiInohnYubN998E46Ojhg/fjxq1qyJsLAwXL9+HbNmzULdunUNEWOFV1DcnOa4GyIiohfS+bSUTCbDr7/+ioCAAMhkMkPERE8pGHdz6hZvoklERPQiOhc3GzduVH+flZUFhUKh14BIm7ebLUxlUsSlZuP2owx42FsaOyQiIqJSS+fTUiqVCrNmzYKrqyusrKxw8+ZNAMDnn3+O1atX6z1Ayr+Jps/jgcTHbz4ybjBERESlnM7FzezZs7Fu3Tp8+eWXMDU1Vbc3bNgQP/74o16Do/+8WjP/Yn7hLG6IiIieS+fi5qeffsIPP/yAt956S2PMjbe3Ny5fvqzX4Og/r9asAiD/yI0QwsjREBERlV46FzfR0dHw8vLSalepVOo7h5P+NXW3g6lMitiUbNx6xHt7ERERPYvOxU39+vXx999/a7Vv3boVTZo00UtQpE0hl8Gnui0AjrshIiJ6Hp1nS33xxRcICgpCdHQ0VCoVtm3bhitXruCnn37Crl27DBEjPfZqzSo4GZWA8BuPMLB5dWOHQ0REVCrpfOTmtddewx9//IEDBw7A0tISX3zxBS5duoQ//vgDnTt3NkSM9Jgfx90QERG9kE5HbvLy8jB37lwMGzYMISEhhoqJnqFJdVuYmuRf7yYqPh01HayMHRIREVGpo9ORGxMTE3z55ZfIy8szVDz0HAq5DE3U17vhrRiIiIgKo/NpqU6dOuHQoUOGiIWKwM8z/9QUr3dDRERUOJ0HFHfr1g2TJk3C+fPn0axZM1haat4KoFevXnoLjrTlX+/mmnrcDe8zRUREpEnn4ubDDz8EACxatEhrmUQigVKpfPmo6Jl83PLH3TxMzcbN+HR4ctwNERGRhmLdW+pZX8UtbJYtWwYPDw8oFAq0aNECJ0+efG7/pKQkjBo1ClWrVoWZmRlq166NPXv2FGvfZY1CLkOz6vl3Cef1boiIiLTpXNzo2+bNmxEcHIxp06bhzJkz8Pb2RkBAAOLi4grtn5OTg86dO+PWrVvYunUrrly5glWrVsHV1bWEIzeeglsxhN9gcUNERPS0YhU3oaGh6NGjBzw9PeHp6YkePXrgwIEDxQpg0aJFGD58OIYOHYr69etj5cqVsLCwwJo1awrtv2bNGiQkJGD79u1o1aoVPDw80K5dO3h7exdr/2VRwU00j99M4PVuiIiInqLzmJvly5dj7NixeOONNzB27FgAwPHjxxEYGIhvvvkGo0aNKvK2cnJycPr0aUyePFndJpVK4e/vj/Dw8ELX2blzJ/z8/DBq1Cjs2LEDDg4OGDRoED799FONG3k+KTs7G9nZ2erHKSkpAIDc3Fy93g+rYFuGvsdWg6pWMDORIj4tG1ceJMPTwfLFK5UDJZXfioi5NSzm17CYX8MpbbktahwSoeOf/tWqVcOkSZMwevRojfZly5Zh7ty5iI6OLvK27t+/D1dXVxw7dgx+fn7q9k8++QSHDh3CiRMntNapW7cubt26hbfeegsffvghrl+/jg8//BBjxozBtGnTCt3P9OnTMWPGDK32X375BRYWFkWOtzRZ+q8U11Kk6FdDidbOPHpDRETlX0ZGBgYNGoTk5GRYW1s/s5/OR26SkpLQtWtXrfYuXbrg008/1XVzOlOpVHB0dMQPP/wAmUyGZs2aITo6GgsXLnxmcTN58mQEBwerH6ekpMDNzQ1dunR5bnJ0lZubi5CQEHTu3BlyuVxv2y1MlMVNLA69jhTzqggM9DHovkqLksxvRcPcGhbza1jMr+GUttwWnHl5EZ2Lm169euH333/HxIkTNdp37NiBHj166LQte3t7yGQyxMbGarTHxsbC2dm50HWqVq0KuVyucQqqXr16iImJQU5ODkxNTbXWMTMzg5mZmVa7XC43yItlqO0+qV0dRywOvY7wmwmQSGUwkRl9bHiJKYn8VlTMrWExv4bF/BpOacltUWMoUnHz3Xffqb+vX78+5syZg7CwMPWppOPHj+Po0aOYMGGCTkGampqiWbNmCA0NRe/evQHkH5kJDQ3VOu1VoFWrVvjll1+gUqkgleZ/oF+9ehVVq1YttLAprxpXs4WNuRzJmbk4F52Mpo+nhxMREVV0RSpuvvnmG43HdnZ2uHjxIi5evKhus7W1xZo1azB16lSdAggODkZQUBB8fX3RvHlzLF68GOnp6Rg6dCgAYPDgwXB1dcW8efMAACNHjsTSpUsxduxYfPTRR7h27Rrmzp2LMWPG6LTfsk4mlaC1lz12n3+Av6/Gs7ghIiJ6rEjFTVRUlMECGDBgAB4+fIgvvvgCMTEx8PHxwb59++Dk5AQAuHPnjvoIDQC4ubnhzz//xPjx49G4cWO4urpi7NixJTLep7RpU+txcXPtIcb61zJ2OERERKWCzmNunlQw0epl7280evToZ56GCgsL02rz8/PD8ePHX2qf5UHrWvYAgLN3k5CSlQtrhfHPhxIRERlbsUah/vTTT2jUqBHMzc1hbm6Oxo0bY8OGDfqOjV6gmp0FajpYQqkSvFoxERHRYzoXN4sWLcLIkSMRGBiIX3/9Fb/++iu6du2KESNGaI3NIcNrW8sBAPD3tYdGjoSIiKh00Pm01JIlS7BixQoMHjxY3darVy80aNAA06dPx/jx4/UaID1fm1r2WHfsFg5fjTd2KERERKWCzkduHjx4gJYtW2q1t2zZEg8ePNBLUFR0r9asArlMgjsJGbj9KN3Y4RARERmdzsWNl5cXfv31V632zZs3o1YtztgpaZZmJupp4Iev8egNERGRzqelZsyYgQEDBuDw4cNo1aoVAODo0aMIDQ0ttOghw2tb2wEnohLw99WHeOdVd2OHQ0REZFQ6H7np27cvTpw4AXt7e2zfvh3bt2+Hvb09Tp48iT59+hgiRnqBNo+nhIffeIRcpcrI0RARERlXsa5z06xZM/z888/6joWKqYGLDews5EjMyEXk3ST4elQ2dkhERERGo/ORmzNnzuD8+fPqxzt27EDv3r3x2WefIScnR6/BUdHIpBK08so/esNxN0REVNHpXNx88MEHuHr1KgDg5s2bGDBgACwsLLBlyxZ88skneg+QiobXuyEiIsqnc3Fz9epV+Pj4AAC2bNmCdu3a4ZdffsG6devw22+/6Ts+KqKCWzFE3k1CUgaPoBERUcWlc3EjhIBKlT9o9cCBAwgMDASQf0PL+HieEjEWF1tz1HGqBJUADl3l0RsiIqq4dC5ufH19MXv2bGzYsAGHDh1C9+7dAeTfObzgTt5kHB3rOQIADlyKM3IkRERExqNzcbN48WKcOXMGo0ePxpQpU+Dl5QUA2Lp1a6FXLqaS4/+4uDl0JY5TwomIqMLSeSp448aNNWZLFVi4cCFkMplegqLi8XGzQ2VLUySk5+D07US8WrOKsUMiIiIqcTofuXkWhUIBuVyur81RMcikErSvkz9rKvRSrJGjISIiMg69FTdUOnSqmz/uKfQyx90QEVHFxOKmnGlT2x4mUgluPkxHVDzvEk5ERBUPi5tyxlohR4ua+bdf4KkpIiKqiF66uFEqlYiIiEBiYqI+4iE96Pj41NRfPDVFREQVkM7Fzbhx47B69WoA+YVNu3bt0LRpU7i5uSEsLEzf8VExFEwJPxmVgJSsXCNHQ0REVLJ0Lm62bt0Kb29vAMAff/yBqKgoXL58GePHj8eUKVP0HiDpzr2KJTwdLJGnEjjMqxUTEVEFo3NxEx8fD2dnZwDAnj170K9fP9SuXRvDhg0r9Po3ZByd6j0+NcWrFRMRUQWjc3Hj5OSEixcvQqlUYt++fejcuTMAICMjgxfxK0U61c0/NXXwShyUKmHkaIiIiEqOzsXN0KFD0b9/fzRs2BASiQT+/v4AgBMnTqBu3bp6D5CKp5m7HWzM5UjMyMXZOxzsTUREFYfOt1+YPn06GjZsiLt376Jfv34wMzMDAMhkMkyaNEnvAVLxmMikaF/HATsi7iPkUix8PSobOyQiIqISoXNxAwBvvPGGVltQUNBLB0P65V/PCTsi7mP/v7GY1LUuJBKJsUMiIiIyuGIVN6GhoQgNDUVcXBxUKs27T69Zs0YvgdHL61DXEaYmUkTFp+NKbCrqOlsbOyQiIiKD03nMzYwZM9ClSxeEhoYiPj4eiYmJGl9UeliZmaBtrfwbae45H2PkaIiIiEqGzkduVq5ciXXr1uGdd94xRDykZ90aOuPApVjsu/AAwZ1rGzscIiIig9P5yE1OTg5atmxpiFjIAPzrOUEuk+BqbBpuPEwzdjhEREQGp3Nx89577+GXX34xRCxkADYWcrT0tAcA7LvAU1NERFT+6XxaKisrCz/88AMOHDiAxo0bQy6XayxftGiR3oIj/ejW0BmHrj7EnvMPMKqDl7HDISIiMiidi5tz587Bx8cHAHDhwgWNZZxqXDp1aeCMKdsv4N/7KbjzKAPVq1gYOyQiIiKD0bm4OXjwoCHiIAOqbGmKFjUq49iNR9j37wO839bT2CEREREZjM5jbp5079493Lt3T1+xkAF1a/j4ZqecEk5EROWczsWNSqXCzJkzYWNjA3d3d7i7u8PW1hazZs3SuqAflR4BDZwhkQARd5PwIDnT2OEQEREZjM7FzZQpU7B06VLMnz8fZ8+exdmzZzF37lwsWbIEn3/+uSFiJD1wtFbA190OAGdNERFR+abzmJv169fjxx9/RK9evdRtjRs3hqurKz788EPMmTNHrwGS/nRtWBX/3ErE3gsxGNqqhrHDISIiMgidj9wkJCSgbt26Wu1169ZFQkKCXoIiw+j6eNzNP7cSEJeaZeRoiIiIDEPn4sbb2xtLly7Val+6dCm8vb31EhQZhqutOZpUt4UQwK7IB8YOh4iIyCB0Pi315Zdfonv37jhw4AD8/PwAAOHh4bh79y727Nmj9wBJv3r7uOLsnSTsiIjGsNY8NUVEROWPzkdu2rVrh6tXr6JPnz5ISkpCUlISXn/9dVy5cgVt2rQxRIykR90bV4VMKkHkvWRExacbOxwiIiK90/nIDQC4uLhw4HAZZW9lhtZe9jh09SG2n43GeN4pnIiIyhmdi5vDhw8/d3nbtm2LHQyVjN5NXHDo6kPsjLyPcf61eNsMIiIqV15Y3GRlZUGhUKgft2/fXqvPkx+OSqVSP5GRwXSp7wyF/Dyi4tNx7l4yvN1sjR0SERGR3rxwzM2iRYuwevVq9ePExESNr7i4OOzbtw+vvPIK9u/fb9BgST8szUzQuX7+tPDtEdFGjoaIiEi/XljcDBo0CN9//z2mTp0KALCxsdH4sre3R+fOnbFgwQJ88sknBg+Y9KO3jwsA4I/IB8hT8rYZRERUfrywuPHw8MCRI0eQmfn8+xE5OTnhypUreguMDKttbQfYWcgRn5aNYzceGTscIiIivSnSgGJTU1N8/fXXAIBz585pLBNC4MGDB5g/fz58fHz0HiAZhlwmRffGVfHz8TvYHhGNtrUdjB0SERGRXug8W8rHxwcSiQRCCI32V199FWvWrNFbYGR4vX1c8fPxO/jzQgyy+iihkMuMHRIREdFL07m4iYqK0ngslUrh4OCgMaOKyoam1e3gamuO6KRMHLgUix6NXYwdEhER0UvTubhxd3c3RBxkBFKpBK/5uGB52A38fiaaxQ0REZULxbpC8T///IODBw8iLi4OKpXmTJtFixbpJTAqGX2bVcPysBs4eCUOsSlZcLLmETgiIirbdC5u5s6di6lTp6JOnTpwcnLSuIAfr3Rb9ng6WMHX3Q6nbidi6+l7GNXBy9ghERERvRSdi5tvv/0Wa9aswZAhQwwQDhlD/1fccOp2IracuosP23uySCUiojJN57uCS6VStGrVSq9BLFu2DB4eHlAoFGjRogVOnjxZpPU2bdoEiUSC3r176zWeiqZ7o6qwNJXh1qMMnIhKMHY4REREL0Xn4mb8+PFYtmyZ3gLYvHkzgoODMW3aNJw5cwbe3t4ICAhAXFzcc9e7desWPv74Y7Rp00ZvsVRUlmYm6OmdP5j411N3jRwNERHRy9G5uPn4449x5coVeHp6omfPnnj99dc1vnS1aNEiDB8+HEOHDkX9+vWxcuVKWFhYPPeaOUqlEm+99RZmzJiBmjVr6rxP0tb/FTcAwJ7zD5CSlWvkaIiIiIpP5zE3Y8aMwcGDB9GhQwdUqVLlpcZn5OTk4PTp05g8ebK6TSqVwt/fH+Hh4c9cb+bMmXB0dMS7776Lv//++4X7yc7ORnZ2tvpxSkoKACA3Nxe5ufr7IC/Ylj63WVIaOlvCy8ES1x+mY/uZuxj4uNgpTcpyfks75tawmF/DYn4Np7Tltqhx6FzcrF+/Hr/99hu6d++uc1BPi4+Ph1KphJOTk0a7k5MTLl++XOg6R44cwerVqxEREVHk/cybNw8zZszQat+/fz8sLCx0irkoQkJC9L7NktDQQoLrkOHH0IuweXje2OE8U1nNb1nA3BoW82tYzK/hlJbcZmRkFKmfzsVN5cqV4enpqXNA+pCamop33nkHq1atgr29fZHXmzx5MoKDg9WPU1JS4Obmhi5dusDa2lpv8eXm5iIkJASdO3eGXC7X23ZLSov0HOxeeAh30gHPpm1Qx7mSsUPSUNbzW5oxt4bF/BoW82s4pS23BWdeXkTn4mb69OmYNm0a1q5d+9JHPezt7SGTyRAbG6vRHhsbC2dnZ63+N27cwK1bt9CzZ091W8FFBE1MTNRjgZ5mZmYGMzMzrXa5XG6QF8tQ2zU0Z1s5/Os5Ye+FGPwW8QDTelY2dkiFKqv5LQuYW8Nifg2L+TWc0pLbosagc3Hz3Xff4caNG3BycoKHh4fWjs6cOVPkbZmamqJZs2YIDQ1VT+dWqVQIDQ3F6NGjtfrXrVsX589rni6ZOnUqUlNT8e2338LNrfSNEylr+r/ihr0XYvD72WhM6lYXZia8mSYREZUtOhc3+r6mTHBwMIKCguDr64vmzZtj8eLFSE9Px9ChQwEAgwcPhqurK+bNmweFQoGGDRtqrG9rawsAWu1UPG1rOaCqjQIPkrOw70IMXvNxNXZIREREOtG5uJk2bZpeAxgwYAAePnyIL774AjExMfDx8cG+ffvUg4zv3LkDqVTnGetUTDKpBIOaV8fXIVex/tgtFjdERFTmFOvGmfo2evToQk9DAUBYWNhz1123bp3+A6rg3mxeHd/9dQ1n7iTh/L1kNKpmY+yQiIiIioyHREiLQyUzBDaqCgD4KfyWcYMhIiLSEYsbKtRgPw8AwI7I+0hMzzFuMERERDpgcUOFalrdFg1drZGTp8Jm3m+KiIjKkGIXNzk5Obhy5Qry8vL0GQ+VEhKJRH30ZkP4bShVwrgBERERFZHOxU1GRgbeffddWFhYoEGDBrhz5w4A4KOPPsL8+fP1HiAZTy9vF9hayBGdlIm/Lj//Lu1ERESlhc7FzeTJkxEZGYmwsDAoFAp1u7+/PzZv3qzX4Mi4FHIZBjy+gSYHFhMRUVmhc3Gzfft2LF26FK1bt9a4I3iDBg1w48YNvQZHxvd2C3dIJMDf1+Jx42GascMhIiJ6IZ2Lm4cPH8LR0VGrPT09XaPYofLBrbIFOtXNv6DihvDbRo6GiIjoxXQubnx9fbF7927144KC5scff4Sfn5/+IqNSI6ilOwDg11N3kZTBaeFERFS66XyF4rlz56Jbt264ePEi8vLy8O233+LixYs4duwYDh06ZIgYychae9mjXlVrXHqQgp+P38bojrWMHRIREdEz6XzkpnXr1oiIiEBeXh4aNWqE/fv3w9HREeHh4WjWrJkhYiQjk0gk+KBtTQDAumO3kJWrNHJEREREz1ase0t5enpi1apV+o6FSrHujati4Z9XEJ2UiW1nojGoRXVjh0RERFSoIh25SUlJKfIXlU9ymRTDWtcAAPz4901e1I+IiEqtIh25sbW1LfJMKKWSpyzKqzdfccN3oddwMz4dIRdj0bWhs7FDIiIi0lKk4ubgwYPq72/duoVJkyZhyJAh6tlR4eHhWL9+PebNm2eYKKlUsDQzwTuvumPpwev4/vANBDRw4vR/IiIqdYpU3LRr1079/cyZM7Fo0SIMHDhQ3darVy80atQIP/zwA4KCgvQfJZUaQS098MPfN3H2ThJO3U7EKx6VjR0SERGRBp1nS4WHh8PX11er3dfXFydPntRLUFR6OVQyQ9+m1QAA3x/iFamJiKj00bm4cXNzK3Sm1I8//gg3Nze9BEWl2/A2NSCRAAcuxeFqbKqxwyEiItKg81Twb775Bn379sXevXvRokULAMDJkydx7do1/Pbbb3oPkEqfmg5W6NrAGXsvxGDJX9exZGATY4dERESkpvORm8DAQFy7dg29evVCQkICEhIS0LNnT1y9ehWBgYGGiJFKoY8eX6V417n7PHpDRESlSrEu4letWjXMmTNH37FQGVLfxRpdGzhj378x+C70GpYOamrskIiIiAAU48gNUYGx/vlHb3aff8CjN0REVGqwuKFiq1fVGt0aOkMI4LvQa8YOh4iICACLG3pJYzrx6A0REZUuLG7opTx59OZbHr0hIqJSoNjFzcOHD3HkyBEcOXIEDx8+1GdMVMYUHL3Zc/4BrsTw6A0RERmXzsVNeno6hg0bBhcXF7Rt2xZt27aFi4sL3n33XWRkZBgiRirlNI/eXDV2OEREVMHpXNwEBwfj0KFD2LlzJ5KSkpCUlIQdO3bg0KFDmDBhgiFipDJgrH8tSCTAnvMxiLibZOxwiIioAtO5uPntt9+wevVqdOvWDdbW1rC2tkZgYCBWrVqFrVu3GiJGKgPqOlvj9Sb595yat+cShBBGjoiIiCoqnYubjIwMODk5abU7OjrytFQFN6FLbZiaSHEiKgEHr8QZOxwiIqqgdC5u/Pz8MG3aNGRlZanbMjMzMWPGDPj5+ek1OCpbXGzNMbSVBwBg3p7LyFOqjBsQERFVSDrffuHbb79FQEAAqlWrBm9vbwBAZGQkFAoF/vzzT70HSGXLh+29sPmfu7gWl4bfztzDgFeqGzskIiKqYHQ+ctOwYUNcu3YN8+bNg4+PD3x8fDB//nxcu3YNDRo0MESMVIbYmMsxuoMXAGBRyFVk5iiNHBEREVU0xbpxpoWFBYYPH67vWKiceMfPHeuO3cK9xEysORqFUY+LHSIiopJQrOIGAC5evIg7d+4gJydHo71Xr14vHRSVbWYmMkwMqIOxmyKwIuwG3nzFDVWszIwdFhERVRBFKm5Onz6Npk2bQiKR4ObNm+jTpw/Onz8PiUSinvIrkUgAAEolT0MQ0LOxC1b9fRMXolPw1f4rmPd6Y2OHREREFUSRxtwsXrwY3bp1AwCMHTsWNWrUQFxcHCwsLPDvv//i8OHD8PX1RVhYmCFjpTJEKpVges/8MVib/rmLSF7Yj4iISkiRipuRI0ciISEBABAeHo6ZM2fC3t4eUqkUUqkUrVu3xrx58zBmzBiDBktli69HZbzexBVCAF/s/BcqFS/sR0REhlek4mbQoEH4+uuvAeSfdqpUqRIAwN7eHvfv3wcAuLu748qVKwYKk8qqSYF1YWVmgsi7Sdhy+q6xwyEiogqgSMVN8+bNMXHiRAD5U8EjIyMBAC1atMCXX36Jo0ePYubMmahZs6bhIqUyybGSAuP88+8avmDfFSRn5Bo5IiIiKu+KVNz8+uuvCAkJAQBMnToVKlX+lWdnzpyJqKgotGnTBnv27MF3331nuEipzApq6YHaTlZISM/B1yE8ukdERIZV5KngBaeiAgIC1G1eXl64fPkyEhISYGdnp54xRfQkuUyK6b0aYNCqE/j5+G0MeMUNDVxsjB0WERGVUzpfoTg5OVk9uLhA5cqVkZiYiJSUFL0FRuVLS0979GhcFSoBfL79AgcXExGRwehc3Lz55pvYtGmTVvuvv/6KN998E0B+AUT0tCnd68HSVIYzd5Kw4fhtY4dDRETllM7FzYkTJ9ChQwet9g4dOmDfvn3o2LEjXF1d0bt3b33ER+VIVRtzTOpWFwCwYN9l3EvMMHJERERUHulc3GRnZyMvL0+rveA2DBs2bMCJEyd4h3Aq1Fst3PGKhx0ycpT47PcL6itcExER6YvOxU3z5s3xww8/aLWvXLkSrVq1gqurKxQKBQYNGqSXAKl8kUolmN+3MUxNpDh89SG2nYk2dkhERFTO6HzjzNmzZ8Pf3x+RkZHo1KkTACA0NBT//PMP9u/fDwDw9PTE6tWr9RsplRueDlYY718bC/ZdxsxdF9Gmtj0cKymMHRYREZUTOh+5adWqFcLDw+Hm5oZff/0Vf/zxB7y8vHDu3Dm0adPGEDFSOTS8TQ00dLVGcmYupu/819jhEBFROaLzkRsA8PHxwcaNG/UdC1UgJjIpFvRtjF5Lj2LP+RjsPvcA3RtXNXZYRERUDuh85OZJWVlZSElJ0fgiKqoGLjYY2c4TAPDZ7+cRk5xl5IiIiKg80Lm4ycjIwOjRo+Ho6AhLS0vY2dlpfBHpYkynWmjkaoPkzFxM2BLBi/sREdFL07m4mThxIv766y+sWLECZmZm+PHHHzFjxgy4uLjgp59+MkSMVI6Zmkix+E0fmMtlOHr9EVYfiTJ2SEREVMbpXNz88ccfWL58Ofr27QsTExO0adMGU6dOxdy5czkOh4rF08EKU3vUAwAs/PMKLt7n6U0iIio+nYubhIQE1KxZEwBgbW2tvs9U69atcfjwYf1GRxXGoObV4V/PCTlKFcZuOousXKWxQyIiojJK5+KmZs2aiIrKP3VQt25d/PrrrwDyj+jY2trqNTiqOCQSCRb0bQR7KzNci0vDvD2XjB0SERGVUToXN0OHDkVkZCQAYNKkSVi2bBkUCgXGjx+PiRMnFiuIZcuWwcPDAwqFAi1atMDJkyef2XfVqlVo06aNegCzv7//c/tT2VHFygwL+zUGAKwPv4095x8YOSIiIiqLdC5uxo8fjzFjxgAA/P39cfnyZfzyyy84e/Ysxo4dq3MAmzdvRnBwMKZNm4YzZ87A29sbAQEBiIuLK7R/WFgYBg4ciIMHD6ovJtilSxdER/My/uVBhzqOeL9t/mnPT7aew42HaUaOiIiIyhqdipvc3Fx06tQJ165dU7e5u7vj9ddfR+PGjYsVwKJFizB8+HAMHToU9evXx8qVK2FhYYE1a9YU2n/jxo348MMP4ePjg7p16+LHH3+ESqVCaGhosfZPpc8nAXXQvEZlpGXnYeTPp5GRo32jViIiomfR6QrFcrkc586d09vOc3JycPr0aUyePFndJpVK4e/vj/Dw8CJtIyMjA7m5uahcufIz+2RnZyM7O1v9uOBig7m5ucjNzS1m9NoKtqXPbVZU3/RrhNeWh+NqbBom/3YOC/s2VN+NnvnVP/7sGhbza1jMr+GUttwWNQ6JEEKnq6aNHz8eZmZmmD9/frECe9L9+/fh6uqKY8eOwc/PT93+ySef4NChQzhx4sQLt/Hhhx/izz//xL///guFovCbL06fPh0zZszQav/ll19gYWFR/CdABnU9GVh2UQYVJOhXQ4nWzrzAHxFRRZaRkYFBgwYhOTkZ1tbWz+yn872l8vLysGbNGhw4cADNmjWDpaWlxvJFixbpHm0xzZ8/H5s2bUJYWNgzCxsAmDx5MoKDg9WPU1JS1GN1npccXeXm5iIkJASdO3eGXC7X23YrMvMjUfjyz2vYfscEr3dogrhLJ5lfA+DPrmExv4bF/BpOacttUW/zpHNxc+HCBTRt2hQAcPXqVY1lEolEp23Z29tDJpMhNjZWoz02NhbOzs7PXferr77C/PnzceDAgReO9zEzM4OZmZlWu1wuN8iLZajtVkQj29dCxN0U7L8YizG/XsCo2syvITG3hsX8GhbzazilJbdFjaHIxc3NmzdRo0YNHDx4sNhBPc3U1BTNmjVDaGgoevfuDQDqwcGjR49+5npffvkl5syZgz///BO+vr56i4dKH4lEgq/7e+ONFeG4EpuKVZdl6J2dB9tS8CYjIqLSqcizpWrVqoWHDx+qHw8YMEDriEtxBAcHY9WqVVi/fj0uXbqEkSNHIj09HUOHDgUADB48WGPA8YIFC/D5559jzZo18PDwQExMDGJiYpCWxinD5VUlhRw/BvmisqUc0RkSfLz1PG+wSUREz1Tk4ubpccd79uxBenr6SwcwYMAAfPXVV/jiiy/g4+ODiIgI7Nu3D05OTgCAO3fu4MGD/y7mtmLFCuTk5OCNN95A1apV1V9fffXVS8dCpZdbZQusGNQEJhKBA5cfYsGfl40dEhERlVI6j7kxhNGjRz/zNFRYWJjG41u3bhk+ICqVmla3xUBPFTZcl+H7Qzfh6WCF/r5uxg6LiIhKmSIfuZFIJFoDhnUdQEz0snwdBD5sl38F48+2nUfYlcKvZE1ERBVXkY/cCCEwZMgQ9ayjrKwsjBgxQmsq+LZt2/QbIdFTxnb0xL2kLOyMvI+RP5/BxuEt0LS6nbHDIiKiUqLIxU1QUJDG47ffflvvwRAVhVQqwVf9vJGUmYvDVx9i2Lp/sOUDP9RyqmTs0IiIqBQocnGzdu1aQ8ZBpBNTEylWvt0Ug1adQMTdJAxecxJbR7aEq625sUMjIiIj0/mu4ESlhYWpCdYOeQVejlZ4kJyFd1afwKO07BevSERE5RqLGyrT7CxN8dOw5nCxUeDmw3S8vfokEtJzjB0WEREZEYsbKvNcbM2x4b0WcKhkhksPUvDWjydY4BARVWAsbqhc8HSwwv+Gvwp7q/8KnEQWOEREFRKLGyo3vBytsOn9/wqcQSxwiIgqJBY3VK7kFzgt1AXOwFXH8TCVg4yJiCoSFjdU7ng5VlIXOJdjUtFv5THcTcgwdlhERFRCWNxQueTlWAlbR/ihmp05bj3KQN8Vx3A5JsXYYRERUQlgcUPlloe9JX4b2RJ1nCohLjUb/VeG49StBGOHRUREBsbihso1J2sFfv3AD77udkjJysPbq08g5GKsscMiIiIDYnFD5Z6NhRwb3m2BDnUckJWrwvsbTmHV4ZsQQhg7NCIiMgAWN1QhmJvK8MNgXwxqUR1CAHP2XMLkbeeRk6cydmhERKRnLG6owpDLpJjTuyE+71EfUgmw6Z+7CFpzEkkZvBYOEVF5wuKGKhSJRIJ3W9fAj0G+sDSVIfzmI/RedhRXYlKNHRoREekJixuqkDrWdcLWkS3haps/Vbz3sqPYfjba2GEREZEesLihCqteVWv88VFrtKllj8xcJcZtjsDn2y8gO09p7NCIiOglsLihCq2ypSnWDW2OMZ1qAQA2HL+N/t8fx71EXtGYiKisYnFDFZ5MKkFw59pYO+QV2JjLEXk3Cd2+/Rs7IniaioioLGJxQ/RYh7qO2PVRazSpbovUrDyM3RSB8ZsjkJKVa+zQiIhIByxuiJ7gVtkCWz7ww9hOtSCVAL+fjUa3xX/jH962gYiozGBxQ/QUE5kU4zvXxpYRfnCrbI7opEz0/z4cs3ZdREZOnrHDIyKiF2BxQ/QMzdwrY8+YNujbtBqEAFYfiULXxX/j2PV4Y4dGRETPweKG6DkqKeT4ur831g59BS42CtxJyMCgH09g8rZzSM7kWBwiotKIxQ1REXSo44g/x7fF269WBwD87+RddPo6DFtP34NKxRtwEhGVJixuiIqokkKO2b0bYfP7r6KmgyXi03Lw8ZZI9Ps+HP/eTzZ2eERE9BiLGyIdtahZBfvGtsWnXevCwlSG07cT0XPJEXy+/QIepWUbOzwiogqPxQ1RMZiaSDGyvSdCJ7RDj8ZVoRL5VzduvzAMyw5eR2YOb+FARGQsLG6IXkJVG3MsHdQUvwxvgQYu1kjNzsPCP6+gw1dh+PXUXSg5HoeIqMSxuCHSg5ae9vhjdGssHuADV1tzxKRk4ZOt59B18WH8EXmfg46JiEoQixsiPZFKJejdxBWhE9phSmA92JjLcS0uDR/97ywCFh/GrnMscoiISgKLGyI9U8hlGN62Jv7+tAOCO9eGtcIE1+LSMPqXs+j67WFsO3MPuUqVscMkIiq3WNwQGYi1Qo4xnWrh7087Ypx/LVRSmOBqbBqCf41Euy8P4se/byItm7dzICLSNxY3RAZmYy7HOP/aOPJpR3zStQ7srcxwPzkLs3dfQst5oZi/9zLuJWYYO0wionKDxQ1RCbExl+PD9l448mkHzH+9EWraWyIlKw8rD91A2y8P4v2fTuHo9XgIwXE5REQvw8TYARBVNAq5DG82r47+vm44cCkWP4XfxpHr8dh/MRb7L8bC08ESA15xQ58m1eBQyczY4RIRlTksboiMRCqVoEsDZ3Rp4IzrcanYEH4bW0/fw42H6Zi75zIW7LuCDnUc0c+3GjrWdYRcxgOtRERFweKGqBTwcqyEGa81xMcBdfBH5ANsOX0XZ+8k4cClWBy4FIsqlqbo3cQVbzSrhrrOlSCRSIwdMhFRqcXihqgUqaSQY1CL6hjUojqux6Viy6l72HY2Gg9Ts7H6SBRWH4mCp4Mlujeqiu6NXVDbyYqFDhHRU1jcEJVSXo6VMDmwHiYG1MGhqw+x5dQ9/HU5DjcepuO7v67ju7+us9AhIioEixuiUs5EJkWnek7oVM8JKVm5CL0Ui93nYnD46kONQqeGvSU61HFEx7qOaF6jMkxNOEaHiComFjdEZYi1Qo4+TaqhT5NqWoVOVHw6ouKjsOZoFCxNZWhdyx4d6zqiQx1HOForjB06EVGJYXFDVEY9WeikZuXiyLV4/HU5DgevPER8Wjb+/DcWf/4bCwCo61wJLT3t0dKzCprXrAxrhdzI0RMRGQ6LG6JyoJJCjm6NqqJbo6pQqQQu3E/OL3QuxyHyXjIux6Tickwq1hyNglQCNKpmi5aeVeBXswqautvBjGewiKgcYXFDVM5IpRI0rmaLxtVsMc6/NuLTsnH85iMcu/EI4TceISo+HZF3kxB5Nwkrwm5AKgHqOFVCZSFFbsR9NK/pALfK5hycTERlFosbonLO3soMPRq7oEdjFwDA/aRMhN/IL3aO33yE6KRMXIpJBSDF0d8uqNdpWt0WjavZoKGrDRq52qCKFa+WTERlA4sbogrGxdYcfZtVQ99m1QAAMclZOHnzIbYdjkCizA4XH6QgPi1bfTsI9Xo2CnWh08DVGrWdKsHVlkd4iKj0YXFDVME52yjQraEzxB0VAgNbQAkpLkQn4+ydJJyPTsaF+8mIik/H/eQs3E/O0ih4rMxMUMvJCnWcKqF2wZezFRyszFj0EJHRsLghIg0KuQy+HpXh61FZ3ZaalYuL91Pyi53o/AHKNx6mIS07D2fvJOHsnSSNbdhZyFHLsRI87C3gYW+JGlUs4WFvCY8qljA3lZXwMyKiiobFDRG9UCWFHC1qVkGLmlXUbblKFW7Fp+NKbCquxqbhakwqrsam4tajdCRm5OLkrQScvJWgtS1na0V+0VPFEu5VLOFqZw5XW3NUszOHg5UZpFIe8SGil8PihoiKRS6TopZTJdRyqqTRnpWrxPW4NNx4mIZb8Rm49SgdUfHpuPUoHUkZuYhJyUJMShaO39QufExlUlS1VcDVNr/gcbUzh4utOZytFXC0NoNTJQVsLeQ85UVEz8Xihoj0SiGXoaFr/iyrpyVl5CAqPh23H2UgKj4ddxIyEJ2YieikTDxIzkSOUoXbjzJw+1HGM7dvKpPCoZKZuthxsjaDo7UCjpXy/69iaYoqVqawszCFQs5TYEQVEYsbIioxthamaFLdFE2q22kty1OqEJOSpS521P8nZeJhajZiU7KQmJGLHKVK3f4ilqYy2FmaooqlKewsTVH5ie+rWJrC1sIU1go5rM1NYGMuh7W5HFamJjw1RlTGlYriZtmyZVi4cCFiYmLg7e2NJUuWoHnz5s/sv2XLFnz++ee4desWatWqhQULFiAwMLAEIyYifTORSVHNzgLV7Cye2Sc7T4mHqdmIS81GXEoW4h4XPXEp2Yh93JaQnoOE9BzkqQTSc5RIz8nEvcQXF0IFJBKgkpkJbCzk+YXPk8WPIr8AsjQzgaWpLP9/MxksTE1gaZr/vaWZCSxM89tkLJKIjMLoxc3mzZsRHByMlStXokWLFli8eDECAgJw5coVODo6avU/duwYBg4ciHnz5qFHjx745Zdf0Lt3b5w5cwYNGzY0wjMgopJiZiJ7YQEEAEIIpGTlITE9B48eFzsF3ydm5OBRWg4S0rORnJmL5MxcpGTlISUzF9l5KgiB/MdZeQCKXhQVxlwug6WZDOZyGZTZMqyPPglLMxMo5LL8LxPp4++l6jYzk/++V8ilUJg8bld/L1U/NpPJIDeRQC6TwkQq4VgkoseMXtwsWrQIw4cPx9ChQwEAK1euxO7du7FmzRpMmjRJq/+3336Lrl27YuLEiQCAWbNmISQkBEuXLsXKlStLNHYiKp0kEglszOWwMZfDw96yyOtl5SqRkpWLlMy8x/9rFj8FbenZSmTk5CE9W4n0nDykZ+chI0eJtMf/K1UCAJCZq0RmrrIgKtx/asq8vpnKpJDLJJCbSCGXSf97LJPC9Mm2xwXR033kJvmPTaQSyGSS/P+ljx8//nry+/8e5/eRPrFcu59Uq71gHZlEAqlEAokk//YhUgn+e/x4mVSS/7pKJYBMKtFYrlQJCGHQ1FIZY9TiJicnB6dPn8bkyZPVbVKpFP7+/ggPDy90nfDwcAQHB2u0BQQEYPv27c/cT3Z2NrKzs9WPU1JSAAC5ubnIzc19iWegqWBb+twm/Yf5NRzmNp8MgJ1CBjuFDEDxbjchhEBOnurxKbE8ZGQrkZKRjb+P/4O6Db2RrQSy8pTIylUhO1eJrDwVsnKVyM5TIfvx91m5KmQ/7pOVp0R2rkrz+8fLnpajVCFHCeT/U9GYYNzx/YUURgWPJZBJtYumJ/sVFE8S5LdLkH+aMp9m25N9IJH81/54GdT9AGhtU6Kx7YIjbpIn1inoo73u4+0XrFtIPOrtPb2tJ/epboHGtvBUPyEEHjyQIuTXSMik0qdXeSI//z0oaHq3lTtqPzWb8mUV9XeUUYub+Ph4KJVKODk5abQ7OTnh8uXLha4TExNTaP+YmJhn7mfevHmYMWOGVvv+/fthYfH8w9vFERISovdt0n+YX8Nhbg2nri2AexEwQ37ZpDWXTArA9PFXEQgBqAAoVUCeAPJUgFLkfxV8nyfylyuFRP193uM+T36vuW5+X5V4vA8BKJH//9NfSgEI5P//X7sEKvy3XGu9x/3FE8vF4+cjnnhe/7Xpdqotfz8Fh3F4OEc/pEB87Iu7PcUp6y7q2ur3NcjIePZMyicZ/bRUSZg8ebLG0Z6UlBS4ubmhS5cusLa21tt+cnNzERISgs6dO0Mul+ttu5SP+TUc5tawmN/iE0I8LrLE44JLqAuYgsfZubk4eDAMbdq2g8zEBCqNdZ5YT6XZpnpq2yohoFKJJwor8TgGqP8XEBqFmIBQ11CiIF48WazlfyOe3I7GNsQT2/5v/SfbIDRjEk9tD4XE9PS6Gs/jqfxqt/33vVKpxJUrV1C7dm3IZDKNvk/2ezpXANCtoRPcXjA+TlcFZ15exKjFjb29PWQyGWJjNSvC2NhYODs7F7qOs7OzTv0BwMzMDGZm2oeY5XK5QX7RGGq7lI/5NRzm1rCYX8PIzc2FlRyoamfJ/OpZbm4u9qReRmBbz1KR26LGIH1xF8MxNTVFs2bNEBoaqm5TqVQIDQ2Fn59foev4+flp9AfyD6U/qz8RERFVLEY/LRUcHIygoCD4+vqiefPmWLx4MdLT09WzpwYPHgxXV1fMmzcPADB27Fi0a9cOX3/9Nbp3745Nmzbh1KlT+OGHH4z5NIiIiKiUMHpxM2DAADx8+BBffPEFYmJi4OPjg3379qkHDd+5cwfSJ0Zot2zZEr/88gumTp2Kzz77DLVq1cL27dt5jRsiIiICUAqKGwAYPXo0Ro8eXeiysLAwrbZ+/fqhX79+Bo6KiIiIyiKjjrkhIiIi0jcWN0RERFSusLghIiKicoXFDREREZUrLG6IiIioXGFxQ0REROUKixsiIiIqV1jcEBERUbnC4oaIiIjKlVJxheKSVnCL96LeOr2ocnNzkZGRgZSUlFJx99Tyhvk1HObWsJhfw2J+Dae05bbgc7vgc/xZKmRxk5qaCgBwc3MzciRERESkq9TUVNjY2DxzuUS8qPwph1QqFe7fv49KlSpBIpHobbspKSlwc3PD3bt3YW1trbftUj7m13CYW8Nifg2L+TWc0pZbIQRSU1Ph4uKicVPtp1XIIzdSqRTVqlUz2Patra1LxQ9BecX8Gg5za1jMr2Exv4ZTmnL7vCM2BTigmIiIiMoVFjdERERUrrC40SMzMzNMmzYNZmZmxg6lXGJ+DYe5NSzm17CYX8Mpq7mtkAOKiYiIqPzikRsiIiIqV1jcEBERUbnC4oaIiIjKFRY3REREVK6wuNGjZcuWwcPDAwqFAi1atMDJkyeNHVKpN2/ePLzyyiuoVKkSHB0d0bt3b1y5ckWjT1ZWFkaNGoUqVarAysoKffv2RWxsrEafO3fuoHv37rCwsICjoyMmTpyIvLy8knwqpd78+fMhkUgwbtw4dRtz+3Kio6Px9ttvo0qVKjA3N0ejRo1w6tQp9XIhBL744gtUrVoV5ubm8Pf3x7Vr1zS2kZCQgLfeegvW1tawtbXFu+++i7S0tJJ+KqWKUqnE559/jho1asDc3Byenp6YNWuWxv2EmNuiO3z4MHr27AkXFxdIJBJs375dY7m+cnnu3Dm0adMGCoUCbm5u+PLLLw391J5NkF5s2rRJmJqaijVr1oh///1XDB8+XNja2orY2Fhjh1aqBQQEiLVr14oLFy6IiIgIERgYKKpXry7S0tLUfUaMGCHc3NxEaGioOHXqlHj11VdFy5Yt1cvz8vJEw4YNhb+/vzh79qzYs2ePsLe3F5MnTzbGUyqVTp48KTw8PETjxo3F2LFj1e3MbfElJCQId3d3MWTIEHHixAlx8+ZN8eeff4rr16+r+8yfP1/Y2NiI7du3i8jISNGrVy9Ro0YNkZmZqe7TtWtX4e3tLY4fPy7+/vtv4eXlJQYOHGiMp1RqzJkzR1SpUkXs2rVLREVFiS1btggrKyvx7bffqvswt0W3Z88eMWXKFLFt2zYBQPz+++8ay/WRy+TkZOHk5CTeeustceHCBfG///1PmJubi++//76knqYGFjd60rx5czFq1Cj1Y6VSKVxcXMS8efOMGFXZExcXJwCIQ4cOCSGESEpKEnK5XGzZskXd59KlSwKACA8PF0Lkv3GlUqmIiYlR91mxYoWwtrYW2dnZJfsESqHU1FRRq1YtERISItq1a6cubpjbl/Ppp5+K1q1bP3O5SqUSzs7OYuHCheq2pKQkYWZmJv73v/8JIYS4ePGiACD++ecfdZ+9e/cKiUQioqOjDRd8Kde9e3cxbNgwjbbXX39dvPXWW0II5vZlPF3c6CuXy5cvF3Z2dhq/Fz799FNRp04dAz+jwvG0lB7k5OTg9OnT8Pf3V7dJpVL4+/sjPDzciJGVPcnJyQCAypUrAwBOnz6N3NxcjdzWrVsX1atXV+c2PDwcjRo1gpOTk7pPQEAAUlJS8O+//5Zg9KXTqFGj0L17d40cAszty9q5cyd8fX3Rr18/ODo6okmTJli1apV6eVRUFGJiYjTya2NjgxYtWmjk19bWFr6+vuo+/v7+kEqlOHHiRMk9mVKmZcuWCA0NxdWrVwEAkZGROHLkCLp16waAudUnfeUyPDwcbdu2hampqbpPQEAArly5gsTExBJ6Nv+pkDfO1Lf4+HgolUqNDwAAcHJywuXLl40UVdmjUqkwbtw4tGrVCg0bNgQAxMTEwNTUFLa2thp9nZycEBMTo+5TWO4LllVkmzZtwpkzZ/DPP/9oLWNuX87NmzexYsUKBAcH47PPPsM///yDMWPGwNTUFEFBQer8FJa/J/Pr6OiosdzExASVK1eu0PmdNGkSUlJSULduXchkMiiVSsyZMwdvvfUWADC3eqSvXMbExKBGjRpa2yhYZmdnZ5D4n4XFDZUao0aNwoULF3DkyBFjh1Iu3L17F2PHjkVISAgUCoWxwyl3VCoVfH19MXfuXABAkyZNcOHCBaxcuRJBQUFGjq5s+/XXX7Fx40b88ssvaNCgASIiIjBu3Di4uLgwt1QkPC2lB/b29pDJZFqzTGJjY+Hs7GykqMqW0aNHY9euXTh48CCqVaumbnd2dkZOTg6SkpI0+j+ZW2dn50JzX7Csojp9+jTi4uLQtGlTmJiYwMTEBIcOHcJ3330HExMTODk5MbcvoWrVqqhfv75GW7169XDnzh0A/+Xneb8XnJ2dERcXp7E8Ly8PCQkJFTq/EydOxKRJk/Dmm2+iUaNGeOeddzB+/HjMmzcPAHOrT/rKZWn7XcHiRg9MTU3RrFkzhIaGqttUKhVCQ0Ph5+dnxMhKPyEERo8ejd9//x1//fWX1mHNZs2aQS6Xa+T2ypUruHPnjjq3fn5+OH/+vMabLyQkBNbW1lofPhVJp06dcP78eURERKi/fH198dZbb6m/Z26Lr1WrVlqXLbh69Src3d0BADVq1ICzs7NGflNSUnDixAmN/CYlJeH06dPqPn/99RdUKhVatGhRAs+idMrIyIBUqvnxJJPJoFKpADC3+qSvXPr5+eHw4cPIzc1V9wkJCUGdOnVK/JQUAE4F15dNmzYJMzMzsW7dOnHx4kXx/vvvC1tbW41ZJqRt5MiRwsbGRoSFhYkHDx6ovzIyMtR9RowYIapXry7++usvcerUKeHn5yf8/PzUywumK3fp0kVERESIffv2CQcHB05XLsSTs6WEYG5fxsmTJ4WJiYmYM2eOuHbtmti4caOwsLAQP//8s7rP/Pnzha2trdixY4c4d+6ceO211wqdYtukSRNx4sQJceTIEVGrVq0KOV35SUFBQcLV1VU9FXzbtm3C3t5efPLJJ+o+zG3RpaamirNnz4qzZ88KAGLRokXi7Nmz4vbt20II/eQyKSlJODk5iXfeeUdcuHBBbNq0SVhYWHAqeHmwZMkSUb16dWFqaiqaN28ujh8/buyQSj0AhX6tXbtW3SczM1N8+OGHws7OTlhYWIg+ffqIBw8eaGzn1q1bolu3bsLc3FzY29uLCRMmiNzc3BJ+NqXf08UNc/ty/vjjD9GwYUNhZmYm6tatK3744QeN5SqVSnz++efCyclJmJmZiU6dOokrV65o9Hn06JEYOHCgsLKyEtbW1mLo0KEiNTW1JJ9GqZOSkiLGjh0rqlevLhQKhahZs6aYMmWKxjRj5rboDh48WOjv2aCgICGE/nIZGRkpWrduLczMzISrq6uYP39+ST1FLRIhnrjkIxEREVEZxzE3REREVK6wuCEiIqJyhcUNERERlSssboiIiKhcYXFDRERE5QqLGyIiIipXWNwQERFRucLihohIzyIiIrBw4ULk5eUZOxSiConFDZEBTZ8+HU5OTpBIJNi+fbvB9nPr1i1IJBJEREQAAMLCwiCRSLRuivmkdevWwdbW9qX37eHhgcWLF7/0dsqSo0ePolGjRpDL5ejdu7fGsoSEBPTt2xf16tWDiYnJC7dl6J+NAm3btsUvv/xi8P3oy6uvvorffvvN2GFQGcXihiq8IUOGQCKRQCKRwNTUFF5eXpg5c+ZL/9V96dIlzJgxA99//z0ePHiAbt266SniF2vZsiUePHgAGxubEtunPnzwwQeQyWTYsmWL1rLSVEQFBwfDx8cHUVFRWLdunbpdCIHBgwfj008/RY8ePYq0rZL42di5cydiY2Px5ptv6rxuZmYmLC0tcf36dQNEBvTt2xedOnVCnTp11Hf9BoCpU6di0qRJ6ptlEumCxQ0RgK5du+LBgwe4du0aJkyYgOnTp2PhwoWF9s3JySnSNm/cuAEAeO211+Ds7AwzMzO9xfsipqamcHZ2hkQiKbF9vqyMjAxs2rQJn3zyCdasWWPscJ7rxo0b6NixI6pVq6Zx9EsikWDXrl14//33X7iNgp+jkvjZ+O677zB06FCtO20XRUhICNzd3eHl5WWAyID//e9/CA0NRWhoqEbx2q1bN6SmpmLv3r0G2S+VbyxuiACYmZnB2dkZ7u7uGDlyJPz9/bFz504A+Ud2evfujTlz5sDFxQV16tQBAJw/fx4dO3aEubk5qlSpgvfffx9paWkA8k9H9ezZEwAglUrVRUb79u0xbtw4jX337t0bQ4YMUT/28PDA3LlzMWzYMFSqVAnVq1fHDz/8oLHOyZMn0aRJEygUCvj6+uLs2bMayws7LbVu3TpUr14dFhYW6NOnDx49eqSxzo0bN/Daa6/ByckJVlZWeOWVV3DgwAGNPnFxcejZsyfMzc1Ro0YNbNy4USuXSUlJeO+99+Dg4ABra2t07NgRkZGRz0s/AGDLli2oX78+Jk2ahMOHD+Pu3bvqZe3bt8ft27cxfvx49VG2gudka2uLXbt2oU6dOrCwsMAbb7yBjIwMrF+/Hh4eHrCzs8OYMWOgVCrV20tMTMTgwYNhZ2cHCwsLdOvWDdeuXVMvv337Nnr27Ak7OztYWlqiQYMG2LNnj/r036NHjzBs2DBIJBL1kZsLFy6gW7dusLKygpOTE9555x3Ex8drPIfRo0dj3LhxsLe3R0BAAADt01L37t3DwIEDUblyZVhaWsLX1xcnTpwo8mv0tIcPH+Kvv/5S/zwWuHz5Mlq3bg2FQoH69evjwIEDhZ4i27FjB3r16qV+/Mcff+CVV16BQqGAvb09+vTpo17m4eGB2bNnY/DgwbCysoK7uzt27tyJhw8f4rXXXoOVlRUaN26MU6dOqdcxNTVFeno6Ro0apfFzLpPJEBgYiE2bNj33+REVhsUNUSHMzc01jtCEhobiypUrCAkJwa5du5Ceno6AgADY2dnhn3/+wZYtW3DgwAGMHj0aAPDxxx9j7dq1APJPOzx48ECn/X/99dfqouXDDz/EyJEjceXKFQBAWloaevTogfr16+P06dOYPn06Pv744+du78SJE3j33XcxevRoREREoEOHDpg9e7ZGn7S0NAQGBiI0NBRnz55F165d0bNnT9y5c0fdZ8iQIbh79y4OHjyIrVu3Yvny5YiLi9PYTr9+/RAXF4e9e/fi9OnTaNq0KTp16oSEhITnxrh69Wq8/fbbsLGxQbdu3TRO92zbtg3VqlXDzJkztfKZkZGB7777Dps2bcK+ffsQFhaGPn36YM+ePdizZw82bNiA77//Hlu3btV4HqdOncLOnTsRHh4OIQQCAwORm5sLABg1ahSys7Nx+PBhnD9/HgsWLICVlRXc3Nzw4MEDWFtbY/HixXjw4AEGDBiApKQkdOzYEU2aNMGpU6ewb98+xMbGon///hrPcf369TA1NcXRo0excuVKrRykpaWhXbt2iI6Oxs6dOxEZGYlPPvlEfWqmKK/R044cOQILCwvUq1dP3aZUKtG7d29YWFjgxIkT+OGHHzBlyhStdVUqFXbt2oXXXnsNALB792706dMHgYGBOHv2LEJDQ9G8eXONdb755hu0atUKZ8+eRffu3fHOO+9g8ODBePvtt3HmzBl4enpi8ODBKLhn85UrV9C7d28EBwer91OgefPm+Pvvv5/53IieyWj3IycqJYKCgsRrr70mhBBCpVKJkJAQYWZmJj7++GP1cicnJ5Gdna1e54cffhB2dnYiLS1N3bZ7924hlUpFTEyMEEKI33//XTz9FmvXrp0YO3asRttrr70mgoKC1I/d3d3F22+/rX6sUqmEo6OjWLFihRBCiO+//15UqVJFZGZmqvusWLFCABBnz54VQghx8OBBAUAkJiYKIYQYOHCgCAwM1NjvgAEDhI2NzXNz06BBA7FkyRIhhBBXrlwRAMTJkyfVyy9duiQAiG+++UYIIcTff/8trK2tRVZWlsZ2PD09xffff//M/Vy9elXI5XLx8OFDIUR+7mrUqCFUKpVGXgr2U2Dt2rUCgLh+/bq67YMPPhAWFhYiNTVV3RYQECA++OAD9b4AiKNHj6qXx8fHC3Nzc/Hrr78KIYRo1KiRmD59+jPjtbGxEWvXrlU/njVrlujSpYtGn7t37woA4sqVK0KI/Ne+SZMmWtsCIH7//XchRP5rW6lSJfHo0aNn7vtpT75Ghfnmm29EzZo1Ndr27t0rTExMxIMHD9RtISEhGrEIIcTRo0eFo6OjUCqVQggh/Pz8xFtvvfXMfT39s/vgwQMBQHz++efqtvDwcAFAvW9ra2vh5eUlWrRoIVq0aCEyMjLUfXfs2CGkUql6/0RFxSM3RAB27doFKysrKBQKdOvWDQMGDMD06dPVyxs1agRTU1P140uXLsHb2xuWlpbqtlatWkGlUqmPsLyMxo0bq7+XSCRwdnZWHyG5dOkSGjduDIVCoe7j5+f33O1dunQJLVq00Gh7ep20tDR8/PHHqFevHmxtbWFlZYVLly6pjwpcunQJJiYmaNasmXqdunXraow5iYyMRFpaGqpUqQIrKyv1V1RUlHoMUmHWrFmDgIAA2NvbAwACAwORnJyMv/7667nPCwAsLCzg6empfuzk5AQPDw9YWVlptD2ZPxMTE418VKlSBXXq1MGlS5cAAGPGjMHs2bPRqlUrTJs2DefOnXtuDJGRkTh48KDGc65bty4AaDzvJ3NXmIiICDRp0gSVK1cudPmLXqPCZGZmavysAPlHS9zc3ODs7Kxue/oIDJB/SqpHjx7qsToRERHo1KnTc5/Dkz+7Tk5OAPLfP0+3FbweycnJuHbtGo4fP47jx4/D3Nxc3dfc3BwqlQrZ2dnP3SfR0148T5GoAujQoQNWrFgBU1NTuLi4aE3hfbKIeRlSqVR9OL5AwamQJ8nlco3HEonE4LNGPv74Y4SEhOCrr76Cl5cXzM3N8cYbbxR5ADWQ/+FbtWpVhIWFaS171rRzpVKJ9evXIyYmRiPvSqUSa9aseeGHaWG5etn8vffeewgICMDu3buxf/9+zJs3D19//TU++uijQvunpaWhZ8+eWLBggdayqlWrqr9/0c/Rkx/shSnOa2Rvb4/ExMTnbvdZdu7cifnz5xc5PkDz9SgYG1VYW1Fej4SEBFhaWhZpv0RP4pEbIuR/6Hh5eaF69epFujZJvXr1EBkZifT0dHXb0aNHIZVK1QOOC+Pg4KAxXkSpVOLChQs6xVqvXj2cO3cOWVlZ6rbjx4+/cJ2CQanPWufo0aMYMmQI+vTpg0aNGsHZ2Rm3bt1SL69bty7y8vJw+vRpdduVK1c0Bi03bdpUXaR4eXlpfBUclXnanj17kJqairNnzyIiIkL99b///Q/btm1Tb9/U1FRjUHBx1atXD3l5eRr5ePToEa5cuYL69eur29zc3DBixAhs27YNEyZMwKpVq565zaZNm+Lff/+Fh4eH1vPWpTBu3LgxIiIinjk+6UWvUWGaNGmCmJgYjQKnTp06uHv3LmJjY9Vt//zzj8Z6165dw+3bt9G5c2eN+EJDQ4v8fF7WhQsX0KRJkxLbH5UfLG6IiuGtt96CQqFAUFAQLly4gIMHD+Kjjz7CO++8oz7sXpiOHTti9+7d2L17Ny5fvoyRI0c+90J7hRk0aBAkEgmGDx+OixcvYs+ePfjqq6+eu86YMWOwb98+fPXVV7h27RqWLl2Kffv2afSpVasWtm3bhoiICERGRmLQoEEaf13XqVMHXbt2xQcffIATJ07g9OnTeO+99zT+qvb394efnx969+6N/fv349atWzh27BimTJmiMUPmSatXr0b37t3h7e2Nhg0bqr/69+8PW1tb9YwsDw8PHD58GNHR0RqzkHRVq1YtvPbaaxg+fDiOHDmCyMhIvP3223B1dVUPaB03bhz+/PNPREVF4cyZMzh48KDGgNynjRo1CgkJCRg4cCD++ecf3LhxA3/++SeGDh2qU0E2cOBAODs7o3fv3jh69Chu3ryJ3377DeHh4erYn/caFaZJkyawt7fH0aNH1W2dO3eGp6cngoKCcO7cORw9ehRTp04F8N+RlR07dsDf3x8WFhbq9aZNm4b//e9/mDZtGi5duqQebG0of//9N7p06WKw7VP5xeKGqBgsLCzw559/IiEhAa+88greeOMNdOrUCUuXLn3uesOGDUNQUBAGDx6Mdu3aoWbNmujQoYNO+7ayssIff/yB8+fPo0mTJpgyZcoLP2BeffVVrFq1Ct9++y28vb2xf/9+9YdZgUWLFsHOzg4tW7ZEz549ERAQgKZNm2r0Wbt2LVxcXNCuXTu8/vrreP/99+Ho6KheLpFIsGfPHrRt2xZDhw5F7dq18eabb+L27duFFn2xsbHYvXs3+vbtq7VMKpWiT58+WL16NQBg5syZuHXrFjw9PeHg4FDkfBVm7dq1aNasGXr06AE/Pz8IIbBnzx716ROlUolRo0ahXr166Nq1K2rXro3ly5c/c3suLi44evQolEolunTpgkaNGmHcuHGwtbXV6doypqam2L9/PxwdHREYGIhGjRph/vz5kMlkAIr2Gj1NJpNh6NChGtP2ZTIZtm/fjrS0NLzyyit477331LOlCsbnPD0FHMifzr5lyxbs3LkTPj4+6NixI06ePFnk56eL6OhoHDt2DEOHDjXI9ql8k4inBwAQEVG5EhMTgwYNGuDMmTNwd3cvtM/Ro0fRunVrXL9+HTY2NqhatSru3bv33CORhvTpp58iMTFR6xpPREXBAcVEROWcs7MzVq9ejTt37qiLm99//x1WVlaoVasWrl+/jrFjx6JVq1bw9PTE1atXsWjRIqMVNgDg6OiI4OBgo+2fyjYeuSEiqoB++uknzJ49G3fu3IG9vT38/f3x9ddfo0qVKsYOjeilsbghIiKicoUDiomIiKhcYXFDRERE5QqLGyIiIipXWNwQERFRucLihoiIiMoVFjdERERUrrC4ISIionKFxQ0RERGVKyxuiIiIqFz5P2sBIHjFvSIuAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "X = np.linspace(0, 1030, 200)  # profundidade em g/cm²\n",
    "lambda_muon = 120  # comprimento de atenuação típico para múons\n",
    "\n",
    "N0 = 1.0  # número inicial (normalizado)\n",
    "N = N0 * np.exp(-X / lambda_muon)\n",
    "\n",
    "plt.plot(X, N, label='N(X) = N0 * exp(-X/λ)')\n",
    "plt.xlabel('Profundidade Atmosférica (g/cm²)')\n",
    "plt.ylabel('Fração de múons sobreviventes')\n",
    "plt.title('Atenuação de Múons na Atmosfera')\n",
    "plt.grid(True)\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "dfa076ee-4d87-41eb-bca1-96d5f16b6c08",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 900x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Energia: 10^9 a 10^20 eV\n",
    "E = np.logspace(9, 20, 500)\n",
    "\n",
    "# Indices espectrais\n",
    "gammas = [2.5, 2.7, 3.0, 3.3]\n",
    "\n",
    "# Constante de normalizacao arbitraria\n",
    "k = 1.0\n",
    "\n",
    "plt.figure(figsize=(9, 6))\n",
    "\n",
    "for gamma in gammas:\n",
    "    phi = k * E**(-gamma)\n",
    "\n",
    "    plt.loglog(\n",
    "        E,\n",
    "        phi,\n",
    "        label=rf'$\\gamma={gamma}$'\n",
    "    )\n",
    "\n",
    "plt.xlabel(r'Energia $E$ [eV]')\n",
    "plt.ylabel(r'Fluxo $\\Phi(E)$ [u.a.]')\n",
    "plt.title('Espectro de Raios Cosmicos')\n",
    "\n",
    "plt.grid(\n",
    "    True,\n",
    "    which='both',\n",
    "    linestyle='--',\n",
    "    alpha=0.5\n",
    ")\n",
    "\n",
    "plt.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "573106e5-fc54-4570-8e72-7da8cc3a5a95",
   "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": "3.13.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
