{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "colab-badge" }, "source": [ "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/seap-udea/MultiNEAs/blob/main/examples/multineas_quickstart.ipynb)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Getting Started with MultiNEAs\n", "\n", "This notebook demonstrates how to load and use the `MultiNEAs` package for studying Near-Earth Asteroid dynamics and populations." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Installation\n", "\n", "If you're running this in Google Colab or need to install the package, uncomment and run the following cell:" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Not running in Colab, skipping installation\n" ] } ], "source": [ "try:\n", " from google.colab import drive\n", " %pip install -U multineas\n", "except ImportError:\n", " print(\"Not running in Colab, skipping installation\")\n", "\n", "# Uncomment to install from GitHub (development version)\n", "# !pip install git+https://github.com/seap-udea/MultiNEAs.git" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load the Package\n", "\n", "Import the `MultiNEAs` package:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import multineas as mn\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# For Google Colab users\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Verify Installation\n", "\n", "Check that the package loaded correctly:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MultiNEAs package loaded successfully!\n", "Package location: /Users/jzuluaga/dev/MultiNEAs/src/multineas/__init__.py\n", "\n", "Available modules:\n", "['AUTHOR', 'EMAIL', 'MultiNEAsBase', 'VERSION']\n" ] } ], "source": [ "# Display package version and information\n", "print(f\"MultiNEAs package loaded successfully!\")\n", "print(f\"Package location: {mn.__file__}\")\n", "print(f\"\\nAvailable modules:\")\n", "print([item for item in dir(mn) if not item.startswith('_')])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Basic Usage Example\n", "\n", "Here's a simple example to demonstrate the package functionality:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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toxcQVyI9exxAbGSFsswoQa+88kqKzCuzZs1KzjQTnllmyJAhyd9zzTXXpPm67dq1CxxyyCFpZl1JnQkmnD0vvcfC88+HZ1xKnS0nvXoCderUCaxevTrdNgrPNGPZlw5WxyJ11p6cZIUKz1CTUWYoK3SX0wxCqX/v8Mcyem/Cj9HeXyuml9YxfvPNNym+L72sUObuu+/O0jmaGWPGjAmUKVPmoK8b/ntnNitU6gKFQZYpygonZqaOhRk5cmS6tVbCi85l9j3N7c9hVnz66adp1pVIvVhNir1796b43sweQ/h5boUvw+u+hNexCNbeyUzmp2eeeSbN4wzPkgbECyZvA8hVdufuhhtuSN62DD/Bce12d9WGdwTZEBO7K2us7oHVvqhdu7Y3tMDyztudaLsDn52x+7nBhi3ZsAwbEmE9DDax03oWbHJr6omf6bFejUmTJuntt9/2hqnY5GT7feyupt3RtLuyVlvBalnkBvtZ1mPRpUsXL8e+Haf9PBsyZHe/7U6vZbNKPawnUtq0aeP1MlimJrvLa8dptQCmTp3q9RRlltUSsNexXgbrjSlSpIh3HtndZKsrYI+H9zhlhmW5snkOQ4cO9e6m23tnvRV2LtjdfTsXrOaE/Q65xV7balXYHXobBlW1alXv97DeCbt7b70I4T1lVk/CesRsqKEdmz2/b9++Xvar1BPhMyOSn8MzzzzTmxdiPXvW22Y9R/Yz7bywXk/7vawH5emnn86VY7H2tHayXgXrLbLPpPUmWja1zPRsBdlnyrKw1atXL2J/q4BokWDRRaQPAgCigQ1rCc/EY0Nc0sp2hZyxMe3B7D4DBw70LsoAAP5HjwUAAACAHCOwAAAAAJBjBBYAAAAAcow5FgAAAAByjB4LAAAAADlGYAEAAAAgx0i4nAesaumKFSu83NtWVRgAAADwI6tMYdXpq1evrsTEjPskCCzygAUVNWvWzIuXBgAAAPLdv//+qxo1amT4HAKLPGA9FcE3wKql5nXvyNq1a70KpQeLIkH7cf5FFz6/tB/nn3/x+aX94uX827Jli3fDPHh9mxECizwQHP5kQUV+BBa7du3yfg6BBe2X3zj/aL9I4vyj/Tj//IvPr//aLzPD+7nFDQAAACDHCCwAAAAA5BiBBQAAAIAcY44FAABAjNq/f7/27t2raJwjYMdl8wSYIxrZ9itUqJAKFCig3EBgAQAAEIO1B1atWqVNmzYpWo/PLo6tPgI1vyLffmXLllXVqlVz/FoEFgAAADEmGFRUrlxZxYsXj7qLd7sw3rdvnwoWLBh1x+YHgVxqP3udHTt2aM2aNd52tWrVcnRcBBYAAAAxNvwpGFRUqFBB0YjAInrar1ixYt5XCy7snMnJsCgmbwMAAMSQ4JwK66kAMiN4ruR0Pg6BBQAAQAxiiBHy+1whsAAAAACQYwQWAAAA8N0d9g8//DBPf8bXX3/t/Zxoyqz12muveRmcMnL//feradOmigQCCwAAAERVRqvrr79e9erVU5EiRVSzZk2dc845+uKLL5Kfs3LlSp155pkRPc5oddttt6VoqyuuuELnnntuvvxsskIBAAAgKixZskStW7f27so//vjjOvLII70JxZMmTdK1116rP/74w3ue1VzIiH2PFX6LtD179qhw4cK58lqZnVhdsmRJb4kEeiwAAAAQFfr16+cNP5o5c6a6du2qBg0a6IgjjtAtt9yiGTNmpDkUyoIR2x4zZozatm2rokWL6q233vIeGzVqlPf91vNhNRquu+66FN8zZ86c5Ne0IU+2z4ZApWX9+vW6+OKLdcghh3hZlCzoeeedd1I85+STT/Z+xk033aSKFSuqQ4cOab6WFbd78MEHVaNGDe/YbOjSxIkTkx/P6Hcy9rs3btzYSxVrP+Pff/9NcyiUrb/++uv66KOPvNfL6PfLDQQWAAAAiLgNGzZ4F9fWM1GiRIkDHj/Y3IK77rpLN954o+bPn+9dbL/44ovea/Xp00dz587V+PHjdeihh2b7+Hbt2qUWLVrok08+0bx587zXveyyy7wgKNzrr7/u9VJ8//33Gj58eJqv9cwzz+iJJ57Q0KFD9euvv3rH26lTJy1cuDDD38lYQbtHHnnEC5q+++47LyDq1q1busOiLrzwQp1xxhne8DFbTjjhBOUVhkIBAADEgWOOsfkL+f9zbdTSTz8d/HmLFi3yCr81bNgwWz/Hegm6dOmSvP3www/r1ltv9S7Mg4499lhll/VU2IV6kM0DsSFa7733no477rjk/YcddpiGDBmS4WtZQHHnnXcmBwSPPfaYvvrqKz399NN6/vnn0/2dgkOihg0b5gU5ViDPAplGjRp5AU74cRgbEmW9Grt37z7o8LHcQGABAAAQByyoWL5cUcuCipw4xiKn/1gV6RUrVqhdu3bKzYrm1lNggcTy5cu9+RN2wZ66EGGLFi0yfJ0tW7Z4x2ZzScLZ9i+//JLu7xRkwYQFSDacylggZr051quROrDIbwQWAAAAcSAfbljn6OfanX6bAxCcoJ1V4cOn7C59RhITEw8IZg42Odomk9sQJutVsPkV9vOsR8ECjPSOI6dy87XyA4EFAABAHMjMcKRIKl++vDePwIYC3XDDDQdcVNtcgoPNswgqVaqU6tSp46VdPeWUUw54vFKlSt5Xm3PQrFkzbz18IndabM5E586d1b17d2/begz+/PNPbxJ1VpQuXVrVq1f3Xs8mZoe/fmZ6HPbt26effvpJzZs397YXLFjgtY0Nh0qLzfew3pb8wORtAAAARAULKuwi2C6w//e//3mTmW2Iz7PPPqtWrVpl6bUsI5JNkLbvtdeZPXu2Nzch2KNx/PHH69FHH/Ve/5tvvtF999130B6VKVOmaNq0ad73XH311Vq9enW2fs/bb7/dm1dhWZ8sMLBJ2hbYhM8HSY+l0bXAy+ZUzJo1y6tTYb9LekGJBVg2Qdx+zrp16zKdtjY7CCwAAAAQFawongUA1stgE6+bNGmi0047zet5sCxPWXH55Zd7w5ZeeOEFL+Xs2WefnSLrkmVVsrv/NifChjTZZO+MWOBhvQTWq2JpZW0ydHYLz91www1eCl37HW1YlWXDsqxVFrwcjM3puOOOO9SjRw+1adPGm6BtAUp6evfurcMPP9ybr2E9NdYzklcSAjmdKYM0J+WUKVNGmzdv9rq78pJ1w9kEpcqVKyePFwTtl184/2i/SOL8o/04/9JPi7p48WLVrVvXq38Qjezy0y7qbSKyzatAZNsvo3MmK9e1vr4SnTp1qlfi3caphRdKyYgVBbFo04qRWC7j1157Lc1uOOs2soZt2bLlAfmJAQAAAMRQYLF9+3YdffTRKfL9ZsQisbPOOsvrXrNxbNbt1atXLy8HcZB1JVnX1MCBA72uOHt96/KyXgEAAAAAMZgV6swzz/SWzLLqh9bFYxN5jM2et4qFTz31VHI1wyeffNIbi9azZ8/k77EKizYOzybWAAAAAIixwCKrpk+frvbt26fYZwGF9VwYy0Nss+vvvvvu5Mdt3oJ9j30vACBv2Gy/3bulrVulbdtSLrZv+3bJhhEXLBhabFrZtm2FVbGipVO0TCkpHz/YYjWt7HsAALkjrgKLVatWqUqVKin22bZNStm5c6c2btzopThL6zkZFWuxqou2BNnrBScWBqsi5hV7fZvAk9c/J1bRfrQf519ufZas0q20bJn077+uwq8LDBJSBAj21YKE1Pts2b8/IRujecvn6LjLlg14gYmltK9QwX217YoV3f7gEtxv8xZjZZ4pf/9it/2CxxZcssO+b9u2n7V164/aseM37d+/UwUKFFPx4keoVKljVbJksxxPGg4eG3mEIt9+wXMlrWvXrJzjcRVY5JXBgwfrgQceOGD/2rVrvVn2ecnebJulbycDWaFov/zG+Rcf7Wf/U9avT9Ty5YlaubKAVqwooJUrE72vbknUqlUFtHev/664N21K0KZN0qJFqR9J+3cpVCig8uWTkpcKFYJfA6pUab/q1NmvunX365BD9qtAAUU1v5x/0Sqa28/qFNjxWdYgW7IiKWmvVq9+RStWPKtdu+yDkaCEBLtctIvXBAUC9noBFS16qKpXv0FVqlylxMSsd/1ZuwWLtpEVShFvPztP7JxZv369Vycj3Fa7A5RJcRVYWL7h1IVMbNtSZ1mhlAIFCnhLWs+x702PDZ2yCd/hPRY1a9b0cgXnR7pZO6HsZ0XbHzY/oP1oP84/afNmd2FtPQ3Ll9vXBK/nIbjYvj17cjdoSEwMqGRJeUupUu6rLVZo98D9AW+/sWuk4LJ3b0CbN+9QkSIlvN6O8MdCz1G6+62XZN06t1iAkRkWPK1ebf8nMo4aChcOqF496dBDraiWVL9+wPtqS82abhhXpPH3L3bbz25q2sWgpSK1JbO2b5+n+fO7a/v2uWF77U72gQXVdu36S3//faNWrx6pRo3eVIkSTbJ1rKkvYhGZ9rPzxM7jChUqHJBuNispi+MqsLCKjZ9++mmKfVZBMVjJ0UqeW5EUK8ISLHhifzhs+7rrrkv3dS11rS2p2RuUH39s7A9bfv2sWET70X7xcv7t2SMtWCDNnZtyWbo0Z69bvrxUo4a7YA5+rV5dKlMmFCSkDhaKFrW7oJn9CQkZ1LHYrsqVSygxMWeBjwUa69e7IGPt2lDAkdF62AjYA1ggZiNoQ6NoQ8dn/y7q1w8FHeHLIYfkb9DB37/YbD87Hju24JIZmzZ9o19/PVNJSXv+6504GPec7dt/0+zZLXXUUZ+pbNm2WbrjHjw2eiyyLrfbL3iupHU+Z+X89nVgsW3bNi0K67+2dLKWRrZ8+fKqVauW15OwfPlyjR492nv8mmuu0XPPPedVK7zyyiv15Zdf6r333vOyPgVZz4NVarTqhFYa3So2WlrbYJYoAIh2NtzWeh9SBxB2kWsX0FlRrtyBQUPwqy12IRzsTfAzu+lnHdMZdE4f0MY2VyQ84LDeHSvqa4v9a7IlrdGwFpD8/rtbUrMbgxZ0WJBx+OFSixbSscdKtWvHztwORJ9t2+b9F1RYtJzVOSP7ve+z72/efKZKlsxezwVig68Di59++smrSREUHI5kgYEVvlu5cqWWht2Ks1SzFkTcfPPNeuaZZ1SjRg2NHDkyOdWsueiii7y5EQMGDPAmezdt2tQrs556QjcARAMbxpQ6gLDF9meG9SAceaTUuLFUq1bK4MEW613AgewiP9gLU6dO+nNTbBhZMNgIBhz29a+/0u7xsEDkt9/cEs4mj1uAcdxx7qsttg/IKZtTYcOfXE9Fdiei22Rx9zotWvyYrTkXiA0JAabi57qslD7PKTcUYI0qV64cdV2xfkD70X5+Ov927JBmzJCmTrUbK9Kvv7qeicywYdZ2B9yCiOBy1FEumPDrnXA/f35tzmWwhyMYbASXv/92w9YOxgKaYKBhX5s3z1og6Of2iwbR3H42x8JGcdgN1YONj1++/AUtXGjDvXOeWciG/B122HM65JB+B32mXX7ahGEb2596KE/wBq/dDLZ5ruXKlfMKFtu+1q1b58Jx+l8gg/bL7XMmK9e1vu6xAIBYZr0O06ZJ33wTCiYyM5TJehrCgwf7akFFGlPBECGWMcqGN9mSqrySF3QEh7L9+KNbZs6UNmxI+bwlS9zy3ntu265trecpPNiw9565scjo4nTZsqdztYGWLXtG1av3zdHFbteuXb3aYq+//rrq1avnBRc239UyFiG6EVgAQJSwcfrffuuCCFvmzHHDadJjN46aNEkZQNi2zYuAv4MO642w5ZxzQnM6Fi92AYYtFmzMmiXt3Bn6PjtX5s1zy6hRbp8Fk82auUDj+OOldu2sNlNkfi9EH6tTsXPnwlx8xYB27vxT27bNUalSzbL1Cps2bdK3336rr7/+Wm3busngtWvX9ua9miVLlnh31X/++WdvuHrwe6xX46uvvtLJJ5/sfa8Nlf/8889155136vfff/ee++qrr+pwu8uCPENgAQARYuPvP/64qH75JcELKNKazBuuQQPJ/s+edJJkowHswtOvw5iQNfY+W/paW7p1c/ssba6dM8FAw75aL8d/qe09No/Dhs/ZMmyY22fXYja10HpKbJI44pcVv3MZy3JjGFRQgve62Q0sSpYs6S0ffvihjj/++DSzbmbWvffeqyeeeMJLCWwJfCxxz/fff5/t18PBEVgAQD4I3nEO9kbY8tdfNi67bLoXktYDYUGELSeemPmMRYgPNm/Geqps6dUrNA/HerrCg43Uxf/scVseeyxRxYtX1sknJ+iMM1ywYYEGwWr8sFSxVvwurToV2WWvZ6+bXTZnwBLw9O7dW8OHD1fz5s29notu3brpKDvZs2DQoEHJvR533XWXzjrrLG8uQVbqMiBrCCwAII/YMJUvvpA+/FCaONH1UGQ0/MVSiwYDCeuRsPoQQFYULy6dcIJbgmxuhgUZNldn0iRp9uzQYzt2JMrKOwVLPFkv2OmnuyDDhk1ZLRLErqSknbncW2ECSkrakaNXsDkWFgTYkKgZM2bos88+05AhQ7xMnjbUKbPCA5Fq1ap5X23CvZUkQN4gsACAXGQXcVYaJxhM2B3ktBQuLLVsGVDz5tt15pnF1bp1IqldkScsQLVAwZZHHrELKysOa0FGQJMmWWajUBVxmwz+8stusWDX5mXY91mwccwxbh9iR2JisXQLUGafFVkrnuNXsV6F0047zVv69++vXr16aeDAgV6wYcKTmu5NJ6tFeFXq4GRyy+aFvENgAQA59M8/0kcfuWDChjiFj3EPKlZMatMm1CNh8xALFw5ozZptqly5eL5WW0Z8q1xZuvRS6eKLA1q9eq1WraqsKVMSNXmySx4QTHVr57ENR7dlwAAXoNi8jGCgYdnH4G8lShyhQGBfrr6mvZ69bm5r3LixN+/C5ksYq1XWzDITeMP75uT6z0P2EFgAQBbZjbJffnGBhAUU6f1Pq1hR6tRJOvdcd0FmwUU4bpwh0uwm7tFHu8xRd9zhqokHh0zZsmBByt44S20bTG9rk8AvvtgKy7q0ufCfUqWOzZOhUO51s8dSyl5wwQXeRGsbylSqVCmvILINhercubOKFSvmTep+9NFHvexQNrTpvvvuy9XfANlHYAEAmWAZeOxubjCYsF6KtNSv7wIJW1q1YugI/KVECaljR7cYO8+tJ8OCjM8/T1nRPTgJ/M473ZwOCzIuuIB0tn5SsmQzFSt2mHbuXJRrBfLs9UqWbJqDYyqpli1b6qmnntJff/3lDXOqWbOmN5n7nnvu8Z4zatQoXXXVVWrRooWXPtaCjtOtGw0RR+XtPEDlbf+I5sqpfhDr7Wd3b+2CyoIJmzeRukBZkNUI6NzZBRNWoCyzWXVivf3yGu2Xv+1nwbVNArfPhH0erGBjavYyp57qUuJ26RLbNVWi+fzze+VtHByVtwHAB2wOoGXIee01N/l6166003zaxZMFEzbUibHmiAd23lsvnC3332/pkqUxY6R33nFF+YLD+6xnw5a+feWlsbWeDPucWG8Iok+1ar21YsXL2r7d3sQ0JohlIc1s8eJHqFq1Prl6fPAXhkIBgFyhsVdflUaPdllzUitVyg0PsV6JM88kDSdgw/5sZIotFli8+64LMv7+OxSkT5jgFkuDa1XELciwYCMHNc+QyxITC6lRozc1e/ZxSkrabeFhdl5FCQnudRITubSMZ9HVdwcA+cjGi1taTUupecQR0tChKYMKK0h3zTWu52LtWnfhZEM8yO0PpNSkifTww64YnxXlu/lmqXr10OOWdtl6Nywwr1JFuvJKl/LWhlch8kqWbKKjjvpMiYlFvJ6HrLDn2/fZ99vrIL4RWACIKzZU46uvpMsusyEA0tVXSz/8EHrc0p7bBFQbDrVsmfTiiy69JndYgYOzofI25+jJJ6WlS6Wvv3afsQoVUgb01jtoc20POUS67jpp+nSXbQ2RU7ZsWzVvPtMbzuRqWxxs3oN7jj3fvs++HyCwABAX7CLnoYekQw918yPefNNVxg6ylJvPPCOtWOHSadpwJ4qBAdlnn5+2baXhw63mgAvWe/RwwwqDrIfw+eddVqnmzaWRI9MvKom8Zz0OLVr86E3ALlbs0P/2JnjDnKxnwr4GAw7L/mTPs+fTU4EgBsIBiFk28doyOo0a5SaTpr4jahlrrFCYDcv4r84SgDxgPYEWrNtigYYFGTa08OOPQwkSLHVt797S7bdLPXtK/fq5GwHIvuxUmbY5F5bVqXr1vtq2bY62bv1R27f/pqSkHV5FbSt+Z3UqLKUs2ZxiR1IuFVYisAAQUyx4mD3bDbV46y1p06YDh2qcdpoLJiyr00EyMQLIZVYosmtXt2zZIo0b54YcBock2mf2qafcYhO9r72WHsSsKly4sJcCd8WKFV6latvOThBQqFAjlS9vy4GP7d5tE72zj3Szior2s9fZs2eP1q5d650zdq7kBIEFgJiwbZtLETtihPTrrwc+Xq+euwtqQzFq1YrEEQJIrXRp6fLL3WJ1MWxYlGWWCl6zWuIEW+rUcelrr7oq5XwNpM0uEK2GxcqVK73gIhrZBa3dJbdjpecj8u1XvHhx1apVK8c1WQgsAPjaqlXSsGHujufGjQfeGbWJ2NY7ceKJrngXgOh0zDGup9Gys9nwRftML17sHluyxFX4HjDApay1Xgx7PtJnd57tQtHuau/fn/36FHnFLorXr1+vChUqRF2BQT9IysX2K1CgQK4VKiSwAOBLf/whPfGE9MYbobubQZY+1oKJiy5yd0QB+If1SNg8i1tukT77zPViWK+Fsc+69UzactxxLsC48EKGNKbHLhQLFSrkLdF4YWzHZZXBCSxip/2i50gAIBPzJ777zs2NaNTIZZAJBhX2f9OGU9gwKEtdaZNACSoAf2eVOvtsF1wsXOgCjbJlQ49bvQz7zNesKd19t/TPP5E8WgCGwAJA1LNe/A8+cCkpbUjT+PGhxyx4sLubNmTC7mIeeWQkjxRAXrDsUNZDuXy5m0fVtGnosXXrpEcfdfOo7KaD1c6gJgYQGQQWAKKW1Zmw1JQNG7oMMjNmhB6zwlqPP+7qUwwZ4rYBxLbixaVevVzmN+u9tPkWwVE+li3Tbjqccoqrn5FWimkAeYvAAkDUsTuQDzzgsjdZJphFi0KPWY/E669Lf/8t3XabVKZMJI8UQCTYHNPWraW33w4Vvwy/ufDtty6tdJs20uTJBBhAfiGwABA1/vrLTca0gOL++12AEWTVsm2s9S+/uJSxOUy1DSBGVK0q3XefyxxltWushzNo2jSpQwc3jNImgNODAeQtAgsAEWeTMC0tbIMG0gsvuCFQwcmbNtRh1izpiy9csaxcyIYHIAYVLChdcok0b56rhdG4cegxG0ZpVb9btXJVvwkwgLxBYAEgYubMcf/sW7aU3n/fjZE2JUpIN97ohkDZUIfmzXmTAGSO3ZDo1k2aO1caM0Y64ojQY1bd+6yzXKrajz8mwAByG4EFgHxn8yMuvVRq1iyUn95UqSINGuTGTD/9tKu2CwDZYan9rcaFpaAeOzZlxjir8n3OOa7I3kcfEWAAuYXAAkC+WbNGuuEGNwbaeiKCbE7Fyy+7MdL33COVL8+bAiD3Aozzz3c9pJa2OjxVrWWXOvdc1ys6blyo1xRA9hBYAMhzW7e6ydj160vDhkl794Yq7D75pLRggStoV7QobwaAvAswzjvPBRMffuh6TIMs6OjSxe373/8IMIDsIrAAkGesKvazz7qAwtLHbtsWykV/770uC9TNNxNQAMg/lgDCCulZUgire9GiRegxGzZlvRvWq2EBBpO8gawhsACQ62w4QTDto03CXrs2lLUlWJfi4YepQQEgsgGGzbP48Uc3kfvYY0OP2cRvCzCs0N7PP/MuAZlFYAEg19jdPas1YeOVu3d3cyaCLrpImj/fpZOtVo1GBxA9AYZlirKMUZaK1rLUhRfasx6NPn3cHDEAGSOwAJAr7J/yKadIHTu6InZB7du7DCzvvisdeiiNDSB6AwxLfz19ujRhgnTYYaEbJiNGuO0nnpD27In0kQLRi8ACQI4sXFhA55+foOOPl775JrTf7vJNmeKW8DHMABDtAcbZZ7tCe0OHSqVLu/1btki33SY1aSJ98gnzL4C0EFgAyJbVq214QIJOPrmixo0LlcO2XgkrSmXVtK23AgD8qHBh6dZbpT//lHr1cgGHWbjQBR5nnZWgP/8sEOnDBKIKgQWALE/MHj5cOvxw6ZVXEpSUlJBc3M7mT/z+uytKZakdAcDv7G+bDYWyLFInnhjaP2lSgtq1q6ibb07Qxo2RPEIgevCvH0CmWSrG1q1dZqfNm92+UqWS9NBDSV7qWNtfqBANCiD2WI0LG+5pPbJW1NPs25egZ59N8OZf2A2X/fsjfZRAZBFYADio7dul22932Z5mzAjt7949oGnT1nnVskuUoCEBxDYbDmU9spbh7v77k1S0aMDbv369u7FifyO/+irSRwlEDoEFgAxZdpTGjd0kxuDduAYNpC+/lF5/PaCKFZNoQQBxxYp89u8vfffdWl18sQsugr26p54qde0qLV4c0UMEIoLAAkCa/v1X6tJF6tRJWrrU7StSxFXQtn+elloWAOLZIYck6c03A/ruu5TZ7z74QGrUSLr3XmnbtkgeIZC/CCwApLBvn/TUU66XYty40P527Vw12gEDXIABAHBs7pllwhs1yk32Nrt3S488Ih15pOvhBeIBgQWAZPaP8dhjpVtuCd1lq1xZeustV48iWDAKAJDqgipR6tnTpae9806XrtYsWeJuzPTrJ23dSqshthFYAPAyPF13nbwid3PmhBrk6qulP/6QLrkklMMdAJA+K6j36KPSb79JbduG9r/4ouu9+OILWg+xi8ACiGOBgEud2LCh9PzzoUqy9s9v2jSXPrFcuUgfJQD4jxULtSFQzz3nJnubf/5xhUOvuYbeC8QmAgsgTv39t9Sxo9Stm7Rqldtn//wef9wVgmrVKtJHCAD+Hx517bVuftrJJ4f2v/SS1KSJ9PnnkTw6IPcRWABxWDnbUscecYQ0cWJo/znnuKrZt91GkTsAyE316rkhUNYzHKz5Y9n2TjvNDTndsoX2RmwgsADiyLJl7h+ZFbvbtcvtO+QQlxrxo4+k2rUjfYQAELu9FzaBO3Xvxcsvu+GnliAD8DsCCyBO/O9/0lFHhdIe2mTsG290FWTPO4/J2QCQH+rWdb0XL7yQsvfi9NOlPn3ovYC/EVgAMc7SxvbqJZ1/vrRxY6iXwv6xPf20VKpUpI8QAOKv96JvX9d7EV5sdMQIN/di8uRIHh2QfQQWQAz78UepWTPplVdC+yzAoHI2AERH74VN4LZUtCVLun3//it16CD17u1SgQN+QmABxKD9+6XBg6UTTpAWLXL7rMvdqsK+955UvnykjxAAEOy9sPSz1ntx6qmhNhk50vVeTJpEO8E/CCyAGGNjde2f0z33SPv2uX3HHecK31lVWArdAUD0qVPH9V5Y/aBg74Ul3DjjDFfAdPfuSB8hcHAEFkAMsWJ3NkF76lS3bUHEvfdK333nijUBAKKX/c229LPWe9GuXWi/palt00ZavDiSRwccHIEFEAO2bpUuv9wVuwuOya1VS/r6a+nhh6lLAQB+672w9LOWOapIEbfvp5+k5s2lCRMifXRA+ggsAJ+bMUNq2lQaPTq0zwKMX36RTjopkkcGAMhJ74Vljpo+Xapf3+3btEnq1Em6805p717aFtGHwALwKZs/8eCDrnv877/dPksd+8Yb0ttvS2XLRvoIAQA5ZZn9Zs2SunQJ7RsyxM2lW76c9kV0IbAAfGjJEle5deBAlwHKtGrlJmh3784EbQCIJWXKSO+/Lz31lFSwoNtnc+cs6LAJ30C0ILAAfMbG1x59tPT996FUhfff7yZs16sX6aMDAOTV0KibbnJ/62vUcPvWrnUVu633OniTCYgkAgvAJwIBadAgqXNnacuW0AS/b791PRfBu1gAgNhlvdM//+zS0Ab/N9j/gI4dXaABRBKBBeAD27dLF10k3Xef+ydiLrjATdC2IngAgPhRsaL0yScu65/1WpvJk93QqGBvNhAJBBaAD+ZTWPAwdmyoO/yRR1zNitKlI310AIBIsIDC6hRZWtoqVdw+m8zdtq30xBOhm1BAfiKwAKKY1aE45hjp119DWZ/Gj5fuvpsJ2gAAlx3KhkYF04vbXIvbbnNZpCw9LZCfCCyAKGR3mqzSavv20vr1bt9hh0k//CCdfXakjw4AEE2qVZO++EK6667Qvg8/dAX1LFUtkF8ILIAos3u31KePdN11oSwfNklv5kypUaNIHx0AIBpZAo/Bg6WPP5bKlXP7Fi92Q2lfeSXSR4d4QWABRJFVq1y39siRoX1WYdX+UVDwDgBwMGed5YZGHXec296zR+rVy/VmJCXRfshbBBZAlPjpJzefYto0t120qKug/eijUoECkT46AIBf1K7tUpFfe21o32OPSRdfLO3aFckjQ6wjsACiwJtvSiee6DJ6GCt+ZFVV7Z8AAABZVbiw9NxzbgmmpH3vPTd3b9062hN5g8ACiCCbQ3H77dJll4XuIrVp43ovWrTgrQEA5Iz1Wnz0kVS8uNu2OhdWZG/hQloWuc/3gcXzzz+vOnXqqGjRomrZsqVm2gzXdJx88slKSEg4YDnLBiT+54orrjjg8TOC5S2BXLRxoxsLO3RoaJ9N2rbMHsGc5AAA5JRlE5w6Vapa1W0vWuSCC4rpIbf5OrAYM2aMbrnlFg0cOFCzZ8/W0UcfrQ4dOmjNmjVpPv+DDz7QypUrk5d58+apQIECusBKGIexQCL8ee+8804+/UaIF7//7ibWTZoUyubx4ovSSy+57msAAHKT9YJbyvIjjnDblsq8XTs3PArILb4OLJ588kn17t1bPXv2VOPGjTV8+HAVL15co0aNSvP55cuXV9WqVZOXKVOmeM9PHVgUKVIkxfPKBfO2Abngm2/cnSK7Y2QqVXK9FNdcQ/MCAPJOrVqul8LmWQTTm190kZvYTaVuxHVgsWfPHs2aNUvtg58Or7x9orc9ffr0TL3GK6+8om7duqlEiRIp9n/99deqXLmyDj/8cPXt21frgxXKgByyqtkdOkhbtrjtpk2lH38MVUwFACAvlSkjffqpdOWVoX2WirZvX2nfPtoeOVNQPrVu3Trt379fVVINRrftP/7446Dfb3MxbCiUBReph0F16dJFdevW1V9//aV77rlHZ555phes2LCptOzevdtbgrb8d9WYlJTkLXnJXj8QCOT5z4lV+dl+o0dbLvEE7d+f4G137BjQu+8GZHGtX98+zj/aj/PPv/j8xm/72eXMyy9LdetK/fu7e8w2FHfJkoDGjAmoVKm8PwY/t180SMrH9svKz/BtYJFTFlAceeSROi5YQeY/1oMRZI8fddRRql+/vteL0c4GI6Zh8ODBeuCBBw7Yv3btWu3K44TR9mZv3rzZO7msxwbR2X4vvVRc999fOnm7S5edevrpzdq+Xd7iV5x/tB/nn3/x+aX9rHBe+fJFdfPNZbRnT4ImTUpQ69b7NHr0RlWvnvc3Rrl+8Uf7bd26NfYDi4oVK3o9CKtXr06x37ZtXkRGtm/frnfffVcPPvjgQX9OvXr1vJ+1aNGidAOLu+++25tEHt5jUbNmTVWqVEmlS4cuJvPqxLLMVfazCCyir/1szOqAAQl65BHXS2Guuy6gp54qosTEyvI7zj/aj/PPv/j80n7G5vc1bhxQly6WrTBBv/1WSJ06VdKECQEdfTTnX7RKysfrP8u8GvOBReHChdWiRQt98cUXOvfcc5Mb2bavu+66DL937Nix3tCl7t27H/TnLFu2zJtjUa1atXSfY5O9bUnN3uj8uNi3Eyu/flYsyqv2sxoVdioOHx7aZx1b/fu7NMaxgvOP9uP88y8+v7SfOflkyaanduwo/f23FWtN0EknJWjsWBsizvkX75/fxCy8vq+vRK2XYMSIEXr99dc1f/58b6K19UZYlijTo0cPrzchrWFQFoxUqFAhxf5t27bp9ttv14wZM7RkyRIvSOncubMOPfRQL40tkFl79kiXXBIKKiyOsOqnAwa4dQAAosnhh0szZkjHH++2t21z9S9sLgYQ8z0W5qKLLvLmMQwYMECrVq1S06ZNNXHixOQJ3UuXLj0gylqwYIG+++47TZ48+YDXs6FVv/76qxeobNq0SdWrV9fpp5+uhx56KM0eCSAt9se4a1cpeIpZjQqbuH3xxbQXACB6WfrzL7+ULrtM+t//XM/71Ve7TIa33Rbpo4Mf+DqwMDbsKb2hTzbhOjVLIWsTXdJSrFgxTQpWLAOyYcMGV03b7vq4c8r9cT7zTJoTABD97P+WFc27805p6FC37/bbXSpaS0sLxOxQKCCaLF/u6lEEg4qyZaUpUwgqAAD+YoM9Hn9cGjQotM9Glj/8cCSPCn5AYAHkgoULpTZtpN9+c9uWmMwqbLduTfMCAPzpnntcVe6g/v2l+++nSjfSR2AB5NCcOS6oWLLEbderJ333nXTUUTQtAMDf7rhDeuKJ1NkNCS6QNgILIAemTpXatpXWrHHbRx7pgor69WlWAEBssFJdzzwT2rYhUjY0Kp0pq4hjBBZANn38sWRZiC1bhjnhBDf8KYOSJwAA+NINN7i06UE2RMomdRNcIByBBZANn3winXeetGuX27YCQpZetlw5mhMAEJuuvTZl0VcbInXzzQQXCCGwALLIcnxbnQpLvWe6dZM++kgqUYKmBADENqtrMXJkqNirDZG6/nqCCzgEFkAWTJsmdeok7d4dCirefFMqXJhmBADEh6uukkaNCgUXzz8v9esnJSVF+sgQaQQWQCbNni117Cht3+62LcCwitoFCtCEAID4csUV7n+g1bwwNkTKejMILuIbgQWQCVaf4vTTpc2b3fZpp0ljxkiFCtF8AID41L2767UPBhc2RMp6M/bvj/SRIVIILICDWLRIat9eWr/ebVvNinHjpKJFaToAQHy7+GLpnXdCvfevvSb17ElwEa8ILIAMLF0qtWsnrVrlto85xqWZZaI2AADOhRe6XvyCBd32G29Il10WSnKC+EFgAaRj5UoXVFhwYZo0kSZOlMqUockAAAhn2RLffz80RNh6MazngjkX8YXAAkiDDXuyeRQ2DMocdpg0ZYpUoQLNBQBAWjp3lj74IJQp0eZfWIVuxA8CCyAVm6BtFbVtwrapXVv64gupalWaCgCAjJx9thsWFZzQPWSI9OyztFm8ILAAwlgq2bPOkmbNctvVqrmgomZNmgkAgMw491xX2yLoppuk996j7eIBgQXwn1273B/D77932xUrSp9/LtWvTxMBAJAV11wj3XefWw8E3GTur7+mDWMdgQUgae9e6YILXCBhbIL25MlS48Y0DwAA2fHgg9KVV7r1PXvczbu5c2nLWEZggbhnhXwuuyzBSyNrLJXsZ59JzZrFfdMAAJBtCQmuInfHjqE5jGecEcq2iNhDYIG4Zt2zt99eWmPHJnjbVvRuwgSpVatIHxkAAP5n6WdtfsVxx7ntFStccLFhQ6SPDHmBwAJx7ZFHLNd28eQ/fv/7n3TKKZE+KgAAYoeNBLBRAZa63cyfb8OiErRzZ6SPDLmNwAJxa+xYacCA0EfgrbdC3bUAACD3VKrkisxWqeK2v/8+Qf36lfWGIyN2EFggLv30k3T55aHtRx5J8iZvAwCAvFGvnvTpp1LJkm574sSiuuGGBG9YMmIDgQXizvLlUqdOSu6CveCCnbrjjkgfFQAAsa95c1edu2BBF00MH57gDUtGbCCwQNwVwLOgYuVKt92mTUCPP77Zy1wBAADy3mmnSa+8EuqmsHoXr75Ky8cCAgvEjaQkqUcPafZst12njvT++wEVKRLpIwMAIL50724Bxdbk7d69pU8+ieghIRcQWCBu9O/vul9NqVIuQ4VNJgMAAPmvX7/tuv5613Nhk7gvvFCaOZN3ws8ILBAX3njDpZY1iYnSmDHSEUdE+qgAAIhfNgz5yScDyclTduyQzjpLWrw40keG7CKwQMybNk3q1Su0/eST0plnRvKIAABA8Gbf6NFS27auPdatk7p2DSVYgb8QWCCmLVliRXikPXvc9tVXSzfcEOmjAgAAQUWLSh9+KB16qNv++Wepb1+RhtaHCCwQs7Zskc45R1q71m23aycNG+a6XgEAQPQoW1YaN04qXtxtv/66paKN9FEhqwgsEJNsEtgll0jz5rntBg1cpe1ChSJ9ZAAAIC1Nmlga2tD2jTdK06fTVn5CYIGYZAXvgmnrypWTJkxwXwEAQPTq1k26+Wa3vnevdP750urVkT4qZBaBBWLOyJFugrYpWNBqVbgeCwAAEP0ee0w66SS3vmKFS0NrQQaiH4EFYspXX7kJX0HPPy+demokjwgAAGSFDVt+7z2penW3PXWqdOedtKEfEFggZvzzj+sy3bfPbd90k9SnT6SPCgAAZFWVKm7EQXBu5FNPSe++SztGOwILxATrIr34YmnDBrfdsaM0dGikjwoAAGRXq1bSM8+Etq+6Spo7l/aMZgQWiAkDB4YyR9SpI731llSgQKSPCgAA5MQ110iXXx6qzN2li7RpE20arQgs4HtTpkiPPhqarD1mjMuHDQAA/M1qT734otSsmdtetEjq0UNKSor0kSEtBBbwtVWrpO7dQ9U5Bw+Wjjsu0kcFAAByS7Fi0gcfSOXLu21LIT9oEO0bjQgs4Ft2t8LuWqxZ47bPPFO65ZZIHxUAAMhtNsz5nXdcD0ZwCPRnn9HO0YbAAr41ZIgbBmWqVZNee01K5IwGACAmnX669PDDbt1GKlx6qfT335E+KoTjMgy+NG2adN99bt3uXrz5plS5cqSPCgAA5KW77pI6d3brGze6ydw2qRvRgcACvmN/SCy17P79btsCDIrgAQAQ+2xkwuuvSw0auO1ffpGuuy7SR4UgAgv4inV99uolLV3qtk88URowINJHBQAA8kuZMm4yd4kSbvvVV6Vx42j/aEBgAV+xlHP2x8RYdgirV2EpZgEAQPw44gjp+edD2336SKtXR/KIYAgs4BvW3Rme9cnuUNSsGckjAgAAkWKZIc89162vWyf17h1KP4/IILCAL2zbJl10kbR7t9u+8UapU6dIHxUAAIgUS97y8suh5C1W38IyRCJyCCzgC9dfLy1Y4NabN5ceeyzSRwQAACKtUiUXXATZjcclSyJ5RPGNwAJRz1LJBu9AlCwpvfuuVKRIpI8KAABEA0s/27OnW9+6VbriCldEF/mPwAJR7c8/pWuuCW0PHy4ddlgkjwgAAESbp5+Watd2699847aR/wgsELVsPkW3btL27W7b7kZYlU0AAIBwpUu7+hY278Lcc4/022+0UX4jsEDUGjxY+vlnt96woTRsWKSPCAAARKu2baWbbw7dnLzsMmnPnkgfVXwhsEBUsrsMjzzi1q1OxTvvhArhAAAApGXQIKlxY7duNycfeoh2yk8EFog6+/e76tp797rtO+6QmjaN9FEBAIBoV7So9MYboeK5dpNyxoxIH1X8ILBA1HnhhdAfgQYNpP79I31EAADALywt/cCBbt2yQ1khvR07In1U8YHAAlHln3+ku+8ObY8Y4e4+AAAAZNZdd0ktW7r1hQulO++k7fIDgQWiRiAg9e0bygJlaWZPOinSRwUAAPzGhkKNHi0VK+a2n3tOmjIl0kcV+wgsEDXeflv67DO3Xr269OijkT4iAADgVzac+vHHQ9uWtn7jxkgeUewjsEBUWLtWuvHG0PaLL0plykTyiAAAgN/ZSIjTTnPry5dL118f6SOKbQQWiAqWd3r9erd+wQVSp06RPiIAAOB3iYnSqFFS2bJu+623pI8+ivRRxS4CC0ScDX+yD7opV45CeAAAIPfUqOHmWATddJO0cyctnBcILBBRW7e6SdpBTzwhVakSySMCAACx5pJLpPbt3fqSJczjzCsEFoioe++Vli516+3aSVdcwRsCAAByV0KCGxFRqJDbfuwx6a+/aOXcRmCBiJk+PdQ1aengXn7ZffABAAByW8OGbk6n2b07ZdIY5A4CC0SEfaB79XK1K8xDD0n16vFmAACAvNO/v3TIIW79k0+kCRNo7dxEYIGIsBoVv//u1lu04K4BAADIeyVLSk8+Gdq2XgsmcuceAgvku99+kwYNClXGfOUV9xUAACCvWVr7U09164sXu/kWyB0EFshXSUluCNTevW77jjuko4/mTQAAAPnD5nPaHM/gTU0bRfH337R+biCwQL4aPVqaMcOtN2jgxjoCAADkp0aNXD2L4LzP4DriPLB4/vnnVadOHRUtWlQtW7bUzJkz033ua6+9poSEhBSLfV+4QCCgAQMGqFq1aipWrJjat2+vhQsX5sNvEvt27HDpZYNefFFK1fwAAAD5YsAAqXp1t26TuD/+mIaP68BizJgxuuWWWzRw4EDNnj1bRx99tDp06KA1a9ak+z2lS5fWypUrk5d//vknxeNDhgzRs88+q+HDh+uHH35QiRIlvNfctWtXPvxGsc2K361Y4dY7dQqNbwQAAMhvpUq5a5Pwidxc7sVxYPHkk0+qd+/e6tmzpxo3buwFA8WLF9eoUaPS/R7rpahatWryUiWszLP1Vjz99NO677771LlzZx111FEaPXq0VqxYoQ8//DCffqvYtGpVaHJUgQJMlAIAAJF30UXSKae4dZtnMWRIpI/I33ybi2fPnj2aNWuW7r777uR9iYmJ3tCl6VZ5LR3btm1T7dq1lZSUpObNm+uRRx7REUcc4T22ePFirVq1ynuNoDJlynhDrOw1u3XrluZr7t6921uCtmzZ4n21n2FLXrLXt4Aor39OTvXvn6Dt2131uz59AmrQwI450kfln/aLVrQf7cf55198fmk/zj/nmWek5s0TtG9fggYPDujSSwOqW1dRLSkfr1+y8jN8G1isW7dO+/fvT9HjYGz7jz/+SPN7Dj/8cK83w3oiNm/erKFDh+qEE07Qb7/9pho1anhBRfA1Ur9m8LG0DB48WA888MAB+9euXZvnQ6jszbbfxU4uC6yi0R9/FNSoURW89ZIlk9Sv31qtWfNfZbwI80P7RTPaj/bj/PMvPr+0H+efU6mSZawspeHDS2jXrgRde+1uvfbaJkWzpHy8ftm6dWvsBxbZ0apVK28JsqCiUaNGeumll/SQlX7OJus1sbke4T0WNWvWVKVKlbw5HXl9YtnwLvtZ0Xph3LNngpKSXG/FPfdIjRtXUrTwQ/tFM9qP9uP88y8+v7Qf51+IpZz96KOAVq5M0KRJRfXTT5XVsaOiVlI+Xr+kTnQUk4FFxYoVVaBAAa1evTrFftu2uROZUahQITVr1kyLFi3ytoPfZ69hWaHCX7Np06bpvk6RIkW8JTV7o/PjYtVOrPz6WVk1ZYo0caJbr1XL0rnZcSqqRHP7+QHtR/tx/vkXn1/aj/PPKVNGGjpUuvRSt23XKzYyPpqzVybk0/VLVl7ft1dShQsXVosWLfTFF1+kiN5sO7xXIiM2lGru3LnJQUTdunW94CL8Na33wbJDZfY1Ed6+0m23hbYfeUQqVowWAgAA0efii6W2bd36X3+5QANZ49vAwtjwoxEjRuj111/X/Pnz1bdvX23fvt3LEmV69OiRYnL3gw8+qMmTJ+vvv//20tN2797dSzfby0pB/xf53XTTTXr44Yc1fvx4L+iw16hevbrOPffciP2efvX669Kvv7r1Y45xH1gAAIBorsht2SuNZYhaty7SR+Uvvh0KZS666CJvgrQVtLPJ1TZcaeLEicmTr5cuXZqi+2bjxo1eelp7brly5bwej2nTpnmpaoPuuOMOLzjp06ePNm3apDZt2nivmZXxZZC2b5fuuy/UEhb1M9IIAABEsyZNpN69peHDbdKy9PjjpMjPioSATSdHrrLhU5am1mbr58fkbSsIWLly5aiaI2BJsu6/36137ixFaxmQaG0/v6D9aD/OP//i80v7cf6lbflyqX59KyfghnBbfYtMTt+Nyc9vVq5ruZJCrlu5MlRgpmBBis0AAAD/OOQQqV8/t75zp5UViPQR+QeBBXJd//7Sjh1u/ZprpAYNaGQAAOAfd90lFS/u1m1Y1L//RvqI/IHAArnKJmuPGuXWrbdswAAaGAAA+EvlytKNN7r1PXukhx+O9BH5A4EFctUdd0jBWTv33uuqWQIAAPiNpcwPTimwm6aWghYZI7BArpk0yS2mdm3phhtoXAAA4E/ly1tpA7e+b5+VLYj0EUU/AgvkSTE8m+hEhl4AAOBnN93kAgzz5pvS/PmRPqLoRmCBXDFunDRvnls/9lirMULDAgAAfytTxg3zNklJoVT6SBuBBXLM5lQ88kho+6GHKIYHAABiw3XXucnc5r33pF9+ifQRRS8CC+SYzav4+We33ry5dPrpNCoAAIgNJUpI99wT2ibjZfoILJBj4YVj7IOXkECjAgCA2HH11a5wnhk/Xpo5M9JHFJ0ILJAj330nTZ3q1hs2lM47jwYFAACxxRLSWAHgoPB1hBBYINd6K6xKZSJnFAAAiEE9e0p167r1yZNDN1YRwmUgsm3OHOnTT916rVrSJZfQmAAAIDYVLiwNHBjavu++UFFgOAQWyJXeCkvFVqgQjQkAAGLXpZdKhx/u1r/9Vvr880gfUXQhsEC2/PmnNHasW7cUbFdeSUMCAIDYVrCg9MADoW16LVIisEC2DBkS6v67+WapWDEaEgAAxL4LLpCOPNKtW3aor7+O9BFFDwILZNm//0qjR4cqUvbtSyMCAID4YIlqwutaPP10JI8muhBYIMueeELauzdUjdKCCwAAgHjRtatUo4ZbnzBBWrQo0kcUHQgskCVr10ovv+zWbfjTjTfSgAAAIL5Ywhq7uWpsaPiwYZE+ouhAYIEseeYZaedOt96nj1SpEg0IAADiT+/eoTmmo0ZJmzdH+ogij8ACmbZli/Tcc6FI/dZbaTwAABCfypeXLr/crW/b5oKLeEdggUx78cVQNN6jh1SzJo0HAADi1w03hNaffVbav19xjcACmWLDn5580q0nJLiCeAAAAPGsUSPpjDPc+pIl0vjximsEFsgU695bsyaUv7lBAxoOAADgpptCbfB0nKeeJbDAQSUlhXorzN1302gAAADm9NNdz4WZOlWaPVtxi8ACB/XFF9Lff7v19u2lpk1pNAAAgOAQ8fD0+888E7/tQmCBgwrWrTDXXEODAQAAhLvsMqlcObf+zjvSqlXx2T4EFsiQfTA+/NCtV6kidepEgwEAAIQrXly6+mq3vnevy6QZjwgskKHXXpP27XPrV17p6lcAAAAgpWuvlQoUcOsWWOzaFX8tRGCBDCdtjxgR2u7Vi8YCAABIS40aLnOmWbvWDYmKNwQWyNSkbct4UK8ejQUAAJDZ1LOBQHy1FYEF0vXSS6H1Pn1oKAAAgIy0bCkdf7xb//VX6euv46u9CCyQ7qTtjz5y60zaBgAAyJyb4rhgHoEF0vTqq0zaBgAAyKouXdx8CzNhgvTXX/HThgQWOOik7d69aSQAAIDMKFRI6tfPrdscizfeiJ92I7DAAT7/XFq8ODRpu25dGgkAACCzevRwFbmNBRbxMombwAIZVtoOFnsBAABA5hxyiNSunVu3DJvTpsVHyxFYIN1J21WrSuecQwMBAABk1WWXhdbjZTgUgQVSYNI2AABA7kziLl7crb/3nrR7d+y3KoEF0py0beMCqbQNAACQPSVLSued59Y3bpQ++ST2W5LAAsmYtA0AAJC7k7jjaTgUgQWSUWkbAAAg97RrJ1Wr5tatx2L9+thuXQILeFaulMaPd+tM2gYAAMi5AgWkSy5x63v3SmPGxHarEljA8847VNoGAADIbZfFUXYoAgt43n8/7Q8AAAAAsu/oo6Ujj3TrM2ZICxfGbmsSWEDLlknTp7uGaNJEatiQRgEAAMiLSdxvvhm77UpgAX3wQagRzj+fBgEAAMhNl1wiJSaGhkMFArHZvgQWSDEMisACAAAgd1Wv7jJEmcWLpe+/j80WJrCIc5YN6rvv3LoNgWrcONJHBAAAEHsui4NJ3AQWcW7cuFB33AUXuIrbAAAAyF3nnSeVKOHW33tP2rUr9lqYwCLOMQwKAAAg75UsKXXp4tY3bXIF82INgUUcW7NG+uYbt37YYaFUaAAAAMjb4VCjR8deCxNYxPkwqKSk0KRthkEBAADknVNPdRO5zaefSuvXx1ZrE1jEMYZBAQAA5J8CBaSLL3br+/a54CKWEFjEqXXrpK++cut160rNmkX6iAAAAGJfp06h9VibZ0FgEac++kjav9+tMwwKAAAgf5xwglS2rFufNMn1XMQKAos4xTAoAACA/FewoNShQyg71LRpsfMuEFjEoY0bpc8/d+s1a0rHHhvpIwIAAIgfZ58dWv/4Y8UMAos4NH58qNuNYVAAAAD564wzQtk4Y2meBYFFHGIYFAAAQORUrCgdf7xb//13acmS2Hg3CCzizObN0uTJbt3yKAdPagAAAOSfs84KrcdKrwWBRZyxcXx79rj1rl2lRM4AAACAfHcWgQX87oMPQus2vwIAAAD57+ijpUMOcetffilt3+7/d4H71XHE6lbYiWvKl5dat470EQEAAMSnhASpY0e3vnt36BrNzwgs4sjPP7t8yeaUU1xZeQAAAEQ+7ewnMTDPgsAijoRHwu3aRfJIAAAA0K6dVKRIKLAIBPzdJgQWcRpYnHpqJI8EAAAAJUpIJ5/s2mHZMmnuXH+3CYFFnLBMUN9+69ZtolCDBpE+IgAAAJwVQ9mhCCzixA8/SDt2hHorgtUeAQAAEDlnEVhEj+eff1516tRR0aJF1bJlS82cOTPd544YMUInnniiypUr5y3t27c/4PlXXHGFEhISUixnWN11n/vii9A6w6AAAACiQ716UsOGbn36dGn9evmWr3ssxowZo1tuuUUDBw7U7NmzdfTRR6tDhw5as2ZNms//+uuvdfHFF+urr77S9OnTVbNmTZ1++ulavnx5iudZILFy5crk5Z133pHfMb8CAAAgurNDJSVJEyfKt3wdWDz55JPq3bu3evbsqcaNG2v48OEqXry4Ro0alebz33rrLfXr109NmzZVw4YNNXLkSCUlJemL8Nv5stn5RVS1atXkxXo3/MwKrsyY4dYPPVSqVSvSRwQAAIBYGw5VUD61Z88ezZo1S3fffXfyvsTERG94k/VGZMaOHTu0d+9elbdqcal6NipXruwFFKeeeqoefvhhVahQId3X2b17t7cEbdmyxftqQYsteclePxAIZPhzpk6V9u51MeSpp9pzfZ7LLJ/bD7Qf51904vNL+3H++Ref35RatZLKlEnQ5s0Jmjw5oP37AxnOh83P9svKz/BtYLFu3Trt379fVapUSbHftv/4449Mvcadd96p6tWre8FI+DCoLl26qG7duvrrr790zz336Mwzz/SClQLpVJQbPHiwHnjggQP2r127Vrt27VJev9mbN2/2Ti4LrNLyySclJdkitWixWWvW5O0x+Ulm2g+0H+dfdOLzS/tx/vkXn98DtWxZVpMnF9X69QmaPn2dDj10v6Kh/bZu3Rr7gUVOPfroo3r33Xe93gmb+B3UrVu35PUjjzxSRx11lOrXr+89r106VeWs18TmeoT3WNj8jUqVKql06dJ5+nvYiWUTzO1npXdizZgRCnk7dy6tSpXy9pj8JDPtB9qP8y868fml/Tj//IvP74HatpUmT3brCxZU0AknKCraL/w6OWYDi4oVK3o9CKtXr06x37ZtXkRGhg4d6gUWn3/+uRc4ZKRevXrez1q0aFG6gYXNybAlNXuj8+Ni1U6s9H7Wxo3S7Nlu3X7VKlW4eM5K+yFn5x9ov7zG+Uf7RRLnH+2Xm1q3Dq3PmJGoq66KjvMvK6/v2yuBwoULq0WLFikmXgcnYreygWrpGDJkiB566CFNnDhRxxxzzEF/zrJly7R+/XpVq1ZNfvTNN6Hy8KSZBQAAiE7HHisFR91ncrpw1PFtYGFs+JHVpnj99dc1f/589e3bV9u3b/eyRJkePXqkmNz92GOPqX///l7WKKt9sWrVKm/Ztm2b97h9vf322zVjxgwtWbLEC1I6d+6sQw891Etj60fhCa/S6XABAABAhBUvLjVr5tZ/+03atEm+4+vA4qKLLvKGNQ0YMMBLITtnzhyvJyI4oXvp0qVeHYqgF1980csmdf7553s9EMHFXsPY0Kpff/1VnTp1UoMGDXTVVVd5vSLffvttmkOd/FS/wiLgk06K9NEAAAAgPeHzKoKlAvzEt3Msgq677jpvSYtNuA5nvRAZKVasmCZNmqRYYTHV77+HutfyeB45AAAAchhYPPusW582zbKVyld83WOBjH31VWid+RUAAADRLXyasAUWfkNgEcOCw6AMgQUAAEB0q1lTOuQQt/7DD9L+9EtZRCUCixj27bfua+HCKcfsAQAAIPokJISu2Sy30Lx58hUCixi1ZYv0559uvWlTmz8S6SMCAADAwYTfDPbbcCgCixj1yy+h9WDqMgAAAES3EwgsEG1+/jm0TmABAADgD02bSkWLunV6LBAVZs8OrTdvHskjAQAAQGbZ3NhjjnHrf/8trV4t32AoVIz3WFhhvCOPjPTRAAAAIDvDoaZPl28QWMSgXbtChfEaNQp1pwEAACD6neDTeRYEFjHIUpPt2+fWGQYFAADgL618WiiPwCIGMXEbAADAvypXlg491K3/9JO0Z498gcAixidukxEKAADAv8Ohdu9OedM4mhFYxKDwk89SlgEAAMC/w6F+/FG+QGARY2xuxa+/uvX69aUyZSJ9RAAAAMiq8Kye8+fLFwgsYsyCBdLOnW6dYVAAAAD+1KhRaJ3AAhEfBkVGKAAAAH8qX95N4jYEFogIMkIBAADEVq/FqlXSpk2KegyFijFkhAIAAIgNjXw2HIrAIoYEAqEei+rVpSpVIn1EAAAAyK6GDUPrBBbIV4sXS5s3u3UmbgMAAPhbI3osEClM3AYAAIgdjQgsEClM3AYAAIgdNWpIJUu6dYZCIV/NnRtap+I2AACAvyUkhOZZ2JD3YK2yaMXk7RhiJ5wpVEiqVSvSRwMAAIDcGg5lSXr+/FNRjcAiRtjJFgwsateWChSI9BEBAAAgnuZZEFjEiA0bpG3b3HqdOpE+GgAAAOQGAgvku2BvhalblzcAAAAgFjSixwL5jcACAAAg9tSv7+bPGoZCIV/8809onaFQAAAAsaFgQemww9y6Td7et09RizkWMWLx4oTkdYZCAQAAxN5wqD17Uo5SiTYEFjGCoVAAAACxqZFP5lkQWMTYUKhixaTKlSN9NAAAAMgtwSJ5hsACeV7DYsmS0PwKq9IIAACA2OuxWLhQUYseixiwZk2idu1y0QTzKwAAAGJLjRqh9ZUrFbUILGLAv/+GymyTEQoAACC2VKwoFfjvco/AAnlq6dJQYEGPBQAAQGxJTJSqVHHrq1YpatFjEWOBBT0WAAAAsadqVfd19Wpp/35FJQKLGBsKRY8FAABA7KlWzX1NSpLWrVNUIrCIAQQWAAAA8dFjEc3zLAgsYmgoVKlSUrlykT4aAAAA5FWPRTTPsyCw8DkbY7d8eYHkYVDUsAAAAIg9VemxQF5bvlzat48aFgAAAPHSY7F6taISPRY+t3RpaL127UgeCQAAAPKnx8LdVI42BBY+t2FDaL1y5UgeCQAAAPIKcyyQ5zZuDK2XLUuDAwAAxKIq/xXIMwyFQp7YvDm0TmABAAAQm4oXl0qXduukm0We2LQptE6qWQAAgNgfDrWKdLPIC5s2hSbv0GMBAAAQ+xO4t21L0Pbt0TeBm8nbPsccCwAAgPibwL1mTfRdxhfM7jf+/vvv3rJu3TolJCSoYsWKatSokRo3bpy7R4gMMRQKAAAg/lLOrl7t88Di66+/1muvvaYJEyZo06ZNCgQCKR63AKNMmTI655xz1LNnT5188sm5fbxIhcnbAAAA8ddjsXatTwOLiRMnqn///po1a5aaNGmiK664Qi1atFC9evVUrlw5L8DYuHGjFi9e7D1nypQpeuONN9S8eXMNGjRIHTp0yPvfJM57LAoXDqho0egbawcAAIC86LEoIF8GFueff7569erlBQsNGzZM93mtWrXSJZdc4q3/8ccfGj58uC644AJt2bIl944Yac6xsInbCcQVAAAAcRFYrPHrHIulS5eqfPnyWXphC0CefvppDRgwILvHhiz0WJBqFgAAILaV/q+OhdmxI/ruKGcq1MlqUJFb34uM7d8vbdniTipSzQIAAMS2okVD67t3+zSwQHQKH2FWpkwkjwQAAADxHlhkOiuUTdROj2WDKlq0qGrXrq2OHTuqd+/eKlKkSG4dIzJRw4KhUAAAAPEUWMi/gYXVp7AAIj07duzQ3LlzvQxSo0aN8lLTlg4fCIY8rWHBUCgAAIDYVqxYjPRYfPzxx5l63ocffqgLL7xQDz/8sIYMGZKTY8NBEFgAAADEZ4/Frl1xMMfi3HPP9YrjffDBB7n90shwKFTKYoUAAACILUXjcfK2FcZbtmxZXrw00umxYPI2AABAbCtcOLrnWORJYLF+/XoVCx8EhjzBUCgAAID4kZAQ6rXw9RyLzNqzZ4/GjBmjFi1a5PZLIxUCCwDxJhAIaNu2n7V164/atm2etm/foC1byqtkySYqVepYlSzZLMNEIwDgd0WL2vwKnwcWs2fPzvDxnTt3asGCBRo5cqR+++03ffrpp7lxfMjA3r2hdbL7AohlSUl7tXLlCC1b9rR27lxo9+2UkFDQCzSsUGggsM/CDhUrdphq1LhJ1ar1VmJioUgfNgDkumCPxc6dPg4sjjnmmIPeBbI/8JUrV9Zrr72m008/PTeODwAQ56xnYv787tq+/dewvQEFAu7uSiAsd8XOnYu0cOF1WrHiZTVq9KbXkwEAsaRo8lAo+TewePXVVzN8PFggz4ZAFSrEXSIAQM5t2vSNfv31TCUl7fGCiYNzz9m+fZ5mzz5ORx31mcqWbctbASBmFPtvGrOvh0JdfvnleXskAACk6qlwQYXdlkvKYtvs977Pvr9585n0XACIGUVTTN4OxHZWqFWrVunpp5/Wsccem9svDQCIozkVNvzJ9VQkZfdVvOFS7nXCJqUBQAwEFnv3Jmj/fsVeYLFt2za9/vrr3ryKmjVr6pZbbtHG8OptAABkgU3UdnMqcvZf0yZ12+vY6wFA7BXJU2wEFvv27dP48eN10UUXqUqVKrryyiu1Zs0aPfjgg5o7d64WLVqk/PD888+rTp063hyPli1baubMmRk+f+zYsWrYsKH3/COPPPKA7FU2AX3AgAGqVq2aV4ujffv2WrjQMpAAAPKD/R227E+5admyZ7zXBYBYCix27ZK/A4tvv/1W11xzjapWrapzzz1Xf//9t/r165d8QX733XfriCOOUH6wehnWOzJw4EAvHe7RRx+tDh06eAFOWqZNm6aLL75YV111lX7++Wfv+G2ZN29e8nOGDBmiZ599VsOHD9cPP/ygEiVKeK+5K9reOQCIUVanwqWUza1AIKCdO//Utm1zcun1ACByisZCYGEBg/UMtG3b1gsubrrpJv3555/68ccfvUAjEp588kn17t1bPXv2VOPGjb1goHjx4ho1alSaz3/mmWd0xhln6Pbbb1ejRo300EMPqXnz5nruuee8xy04svkh9913nzp37qyjjjpKo0eP1ooVK/Thhx/m828HAPHJit9ZnYrclfDf6wKAv/38c2h9+XL5MyvUY489prp16+qrr77ygotIswrfs2bN8gKeoMTERG/o0vTp09P8HttvPRzhrDciGDQsXrzYm3xurxFUpkwZb4iVfW+3bt3SfN3du3d7S9CWLVu8r0lJSd6SVwKBhOR/voGA/aw8+1Exy94fCyjz8n2KZbQf7ZdX2aBc8bvcm3Btr2evy2c9hM9vztB+tF+kLFkS6heYPz+gY4/N22uYrPzdzHRgcf755+vjjz/2LsRtkrYNKerUqZM3VCgS1q1bp/3793vzO8LZ9h9//JHm91jQkNbzbX/w8eC+9J6TlsGDB+uBBx44YP/atWvzdAjVjh0lJdkibdy4SWvWWOVZZPXDsnnzZi+4sMAUWUP75Qztl7bt2zfk+nwIe73t29enO1Q2HnH+0X6cf35VNcXN7DVr8nYG99atW3M/sHjvvfe8F37//ff19ttv67LLLvMmQJ999tk64YQTDlqVO5ZZr0l4T4i9yZYdq1KlSipdunSe/dzixUNtXq5cWVWuzIVxdv6x2rlr7xWBRdbRfjlD+6Vty5by2rIlIUVF7Zyyz3mJEhVUuXLl3HtRn+P8o/04//ypWrWAVq5014DNm5dS5cpl8vTn2fV+rgcWplSpUt58BltWrlzpBRi2WNBhXnjhBe8OfceOHVW2bFnlpYoVK6pAgQJavXp1iv22bRPL02L7M3p+8Kvts6xQ4c9p2rRpusdSpEgRb0nNLlTz8mI1PJZLSMjbnxXL7IIjr9+rWEb70X65rWTJJl6a2Nxkr2evy+c8JT6/OUP70X6R0KqV9MEHbr127by/fsnK62f7SOzC+9Zbb/XmOfz+++/eXXvLENW9e3fvjtApp5yivFS4cGG1aNFCX3zxRYq7L7bdylo8DbY//PlmypQpyc+3OSQWXIQ/x3ofLDtUeq8JAMhdpUpZgdXcTg0b+O91AcDfdoWNss9CZ0K+yJUQx+pCDBo0yAsspk6d6qVzDU/hmlds+NGIESO84nzz589X3759tX37dq9HxfTo0SPF5O4bb7xREydO1BNPPOHNw7j//vv1008/6brrrku+82DZrh5++GGvRofV47DXqF69upeWFgCQ90qWbKZixQ7LxcxQCSpWrIFKlky/5xkA/GLnztB6sWKKKlkaCpUZbdq08ZZhw4Ypr1lxPpsgbfUzbHK1DVeywCE4+Xrp0qUpum9sLogN3bJ0svfcc48OO+wwLyNUkyZNkp9zxx13eMFJnz59tGnTJu93sdfMyvgyAED22U2eGjVu0sKF7qZPbqhR48a4ngsIIDZ7LIocOBI/ohICmUi9YalWszsUKCff61c2fMrS1Fq2obycvH3XXZYG2K1/+WWSTjmFOQJZZcPnLEuMDd9j7HXW0X45Q/tl1DZ7NWvWsdq+3Xq/9+cozWzx4keoRYuflJiY6/fSfI3zj/bj/POn5s1dLYtChQLatSvvs1pm5bo2U0dy6qmnenMmbJL2jh07Dvr8bdu2eT0DJ510ktq1a5f5IwcAwJssWEiNGr2pxMTCORi1m6iEhODrEFQAiK0eiyJFcnsuWs5l6i+tVdh+8MEHvRSzhQoV8grGWcVqm+xcrlw5Lz/4xo0bvQJzNmdh5syZ2rdvnzc/4a233sr73wIAEHMsi9NRR32mX3890yuWl5VMUdZTYUGFfb+9DgDEZmCRIN8FFlaTwSZJWyG4N954Qx999JGXWnZn+OwRbwJJMR1zzDHe5GcLQqw2AAAA2VW2bFs1bz5T8+d31/btv/63N6O7dO6frA1/sp4KggoAsRtYKOoUzGrtiJtvvtlbrEfCJkevX7/ee6xChQqqVauWChakuzm/hDf17rwtuggAEWPBQYsWP2rlyhFatuxp7dy50AsgrFfCesxtUrbrzQh42aRsona1ar294VQAEKuBRdGiPu2xSPMbCxZUvXr1vAWREV6DcPNm3gUAscuChEMO6afq1ftq27Y52rr1R23bNk/bt6/3Kmpb8GF1KiylLNmfAMSynTt9PscC0R9YbNoUySMBgPxhQUOpUs28haxGAOJNIBDdk7fJT+pj5cqF1umxAAAAiG179oTWo3GOBYFFjPRYbNwYXWPsAAAAkHfF8dwci+hCYOFjDIUCAACIH7tiJbCw6tnz5lkFVEQLAgsAAID4DCyK+HmOxZIlS9SiRQvdc8892hX+WyEq5lhs3MgbAQAAED+BhfwbWCxYsEC9evXSkCFDdOSRR+rzzz/P2yPDQZUuHVpn8jYAAEBs2xUrPRalS5fW888/r+nTp3vrHTp08Kprr127Nm+PEBkWyCtVyp1UpJsFAACIjxoWMVPH4thjj9WPP/6oYcOGqX///vr4449Vs2bNNHON//LLL7l1nMhgnsXWrQyFAgAAiHVbt4bWixWLgcDC7Nu3z+up2L17typUqOAtiNw8i3//pccCAAAg1q1aFVqvXDlJvg8sbG5Fv3799Pfff3tfBw0apFKlSuXN0SHTmaF2707wxt0VLUqjAQAAxKJVUR5YZHqOhfVQdO/e3ZtbUbx4cU2bNk3PPvssQUWElSkTWiczFAAAQLwEFvvl2x6Lww8/XHv27NGjjz6qW265RQUKFMjbI0O2allUq0bDAQAAxKKVK6O7xyLTgcXxxx+vF154QXXq1MnbI0K2a1mQGQoAACA+eiyqVPFxYPHpp5/m7ZEgW6i+DQAAEF89FsWLB1SiRMC/cywQncqWDZ1UzLEAAACI/R6LatWstIOiDoGFz9FjAQAAEB/F8TZtcutVqyoqEVj4HIEFAABA7Fu9OrROYIE8n7y9di2NDAAAEOsZoarSY4G8UKtWaP2ff2hjAACAWM8IVa1a9E3cNgyF8rkaNaQCBdzJtXhxpI8GAAAAeZ9qVlGJwMLnChaUqld3lRcJLAAAAGJ/KFS1KC2ITGARA2rVcoHF5s0UyQMAAIj1HouqzLFAXgcWhl4LAACA2LOSHgvkhxo1CCwAAADiocciMVGqVElRiaFQMdZjsWRJRA8FAAAAedhjYUFFgQKKSgQWMYChUAAAALErKSlUIC9aJ24bAosYULMmQ6EAAABi1fr10r590T1x2xBYxIAqVZJUpIirZcFQKAAAgNiyfHlonR4L5CmbxFO7digrVCA6izECAAAgG/74I7R+2GGKWvRYxIhgYLFjh7R2baSPBgAAALll/vzQeqNGiloEFjGibt3QOsOhAAAAYsd8Agvkp7p1Q+OfKJIHAAAQe4FFoUJS/fqKWvRYxNhQKENgAQAAEBv27ZP+/DM0v6JgQUUtAosYwVAoAACA2LN4sbRnT/TPrzAEFjEYWNBjAQAAEBvm+2R+hSGwiBEVK0rFi7t1AgsAAIDYMJ/AAvktISHUa/HPP670OwAAAPxtPoEFIiEYWNg4vGXLeA8AAABiJbBISJAOP1xRjaFQMaRJk9D6nDmRPBIAAADkVCAQqrptGUCDw96jFYFFDGnWLLQ+e3YkjwQAAAA5tXKltGWLPyZuGwKLGNK8eWj9558jeSQAAACIp/kVhsAihtSrJ5Uq5dYJLAAAAPxtPoEFIiUxUWra1K3/+6+0bh3vBQAAQCwEFg0bKurRYxFjGA4FAAAQG+bTY4FomcDNcCgAAAD/BxaVKkkVKijq0WMRwz0WZIYCAADwp02bpFWr/DNx2xBYxBgbf1ekiFunxwIAAMCf5vtsGJQhsIgxhQpJRx7p1v/8U9q6NdJHBAAAgKyaNy+0TmCBqBgO9csvvBEAAAB+M316aP2YY+QL9FjEICZwAwAA+Nu0aaHRKC1ayBcILGIQE7gBAAD8a/16acECt25BRdGi8gUCixhkcywKFHDrTOAGAADwlxkzQusnnCDfILCIQcWKhaoz/vabtHt3pI8IAAAAWR0GZQgsEDXDofbtS5lVAAAAAP4JLFq1km/QYxGjmMANAADgP3v3SjNnuvXataXq1eUbBBYxisACAADAf379Vdqxw3/DoAyBRYxq2jS0Pnt2JI8EAAAAsT6/whBYxKiyZaX69d36nDlM4AYAAPCDaQQWiEZt2rivu3alTFsGAACA6K64Xby4dNRR8hV6LGLYqaeG1r/8MpJHAgAAgINZvlz65x+3ftxxUsGC8hUCizgJLL74IpJHAgAAgMz2VvhxfoUhsIhhNWpIDRq49R9+kLZti/QRAQAAIBbnVxgCixjXrl2oUN6330b6aAAAAJCZwOL44+U7vg0sNmzYoEsvvVSlS5dW2bJlddVVV2lbBrfk7fnXX3+9Dj/8cBUrVky1atXSDTfcoM2bN6d4XkJCwgHLu+++K79ingUAAED027kzVCLg8MOlChXkOz6bEhJiQcXKlSs1ZcoU7d27Vz179lSfPn309ttvp/n8FStWeMvQoUPVuHFj/fPPP7rmmmu8fe+//36K57766qs644wzkrctcPGrk08OrTPPAgAAIDrNmuWqbvt1GJRvA4v58+dr4sSJ+vHHH3XMMcd4+4YNG6aOHTt6gUP1NGqfN2nSRP/73/+St+vXr69Bgwape/fu2rdvnwqGTbu3QKJq1aqKBRUrumJ5VsvClvXr/RkBAwAAxLLpPp+47dvAYvr06d7FfzCoMO3bt1diYqJ++OEHnXfeeZl6HRsGZUOpwoMKc+2116pXr16qV6+e16thvSE2JCo9u3fv9pagLVu2eF+TkpK8JS/Z6wcCgQx/zimnJGjOnAQFAtJXXyWpS5c8PSRfyUz7gfbj/ItOfH5pP84//+Lze6Dvv7drTXe9efzxdg2pqGi/rPwMXwYWq1atUuXKlVPss+CgfPny3mOZsW7dOj300EPe8KlwDz74oE499VQVL15ckydPVr9+/by5GzYfIz2DBw/WAw88cMD+tWvXapdVp8vjN9sCJDu5LLBKS4sWhSWV99Y/+WSn2rTZmqfH5CeZaT/Qfpx/0YnPL+3H+edffH5TsiQ733xj17YJKlMmSeXLr9GaNYqK9tu6das/A4u77rpLjz322EGHQeWU9SicddZZ3lyL+++/P8Vj/fv3T15v1qyZtm/frscffzzDwOLuu+/WLbfckuL1a9asqUqVKnk9InnJTizrTbGfld6JdfbZUoECAe3fn6AZM4qrcuVieXpMfpKZ9gPtx/kXnfj80n6cf/7F5zel776TNm1y1yGnnZagqlVT3kCPZPsVLVrUn4HFrbfeqiuuuCLD59jwJJv/sCZVGGfzJCzz08HmRljUZROzS5UqpXHjxqlQoUIZPr9ly5Zez4YNdSpSpEiaz7H9aT1mb3R+XKzaiZXRzypTxlVvtLF7f/yRoJUrE3TIIXl+WL5xsPYD7cf5F734/NJ+nH/+xec35LPPQutnn23XJekPwc/v9svK60dVYGFRly0H06pVK23atEmzZs1SixYtvH1ffvmlF71ZIJAe60no0KGDFwSMHz8+UxHYnDlzVK5cuXSDCj/VswhOCvrqK6l790gfEQAAAMzHH3tfZFN6zzxTvuXLW7SNGjXyeh169+6tmTNn6vvvv9d1112nbt26JWeEWr58uRo2bOg9HgwqTj/9dG9o0yuvvOJt23wMW/bv3+89Z8KECRo5cqTmzZunRYsW6cUXX9Qjjzzi1b/wO+pZAAAARJ+lS6V589z6scdKqaYR+0pU9VhkxVtvveUFE+3atfO6aLp27apnn302+XGrbbFgwQLt2LHD2549e7aXMcoceuihKV5r8eLFqlOnjjcs6vnnn9fNN9/sTYax5z355JNeAON3rVrZGDnJ5pJbPQvLEJVBoisAAADkg08+STkv1s98G1hYBqj0iuEZCxQsOAg6+eSTU2ynxXpBwgvjxRILKlq3dkGFRcZ//221PCJ9VAAAAPHtk7DA4qyz5Gu+HAqFnA+Hogo3AABAZO3cafOE3Xq1apaR1N/vCIFFHLEJ3EHBkxgAAACR8dVXLrgwHTv6f5g6gUUcsQRawbIaFlhQbBoAACByPomhYVCGwCKOFCxoc03c+tq10n9z2QEAAJDPAoFQmlkrq9a+vf/fAgKLOHPeeaH199+P5JEAAADEr99+cwl1jN34LVVKvkdgEWc6dXI9F8HA4iCJsgAAAJAHPomxYVCGwCLOlC8fmsRtUfJPP0X6iAAAAOLPJwQWiAXnnx9aZzgUAABA/tq4UZo2za03aGDFm2PjHaDHIg6de65UoIBbZzgUAABA/po0Sdq/P7aGQRkCizhUsaJ0yilu3Spwz5kT6SMCAACIH5/E4DAoQ2ARpxgOBQAAkP/275c++8ytWyaoE0+MnXeBwCKOh0Ml/vfujx1LdigAAID88MMP0vr1bv3006XChWOn3Qks4lSVKtJJJ7n1hQuluXMjfUQAAACxb8KE2BwGZQgs4hjDoQAAAPJPUpL09ttu3RLpEFggpqpwJyS4ddLOAgAA5K2pU0PVtm0YVOXKsdXi9FjEserVpdat3fr8+dLvv0f6iAAAAGLXG2+E1i+7TDGHwCLOMRwKAAAg7+3c6RLmBLNBde4ce61OYBHnunQJrTMcCgAAIG989JG0dWvoxm7x4rHX0gQWca5mTen44926ZYZasCDSRwQAABB73ojxYVCGwAIphkP97380CAAAQG5avVqaNCl0U7dt29hsXwILqGvXUCMwHAoAACB3vfuuq7htLr00VKQ41sTor4WsqFNHOuYYt/7zz9Jff9F+AAAAueWNOBgGZQgscMBwqPCTHwAAANn3++/SrFluvUULqXHj2G1NAgsc0C33yivSvn00DAAAQE69ESe9FYbAAp4aNUJl5ZctkyZOpGEAAAByIilJeustt16ggHTxxbHdngQWSNanT2j9pZdoGAAAgJz45hvp33/deocOUuXKsd2eBBZIduaZrufCfPpp6IMAAACArHsjjoZBGQILJLMuul69Ql13NtcCAAAAWbdjhzR2rFsvXVrq3Dn2W5HAAilcdRWTuAEAAHLqo4+kbdtC2TeLFYv9NiWwQIaTuD/7jAYCAADIqjfibBiUIbDAAa6+OrT+8ss0EAAAQFasWiVNnuzWa9WSTjopPtqPwAIHOOMMqWZNt84kbgAAgKx56y1p//4Da4XFujj5NZEVTOIGAADInv37peeeC2336BE/LUlggTRdeWUouh45kkrcAAAAmTF+vLRkSah2RcOG8dNuBBZIdxL32We79eXLmcQNAACQGU8/HVq/6ab4ajMCC6SLStwAAACZN3u2NHWqW7eeitNPj6/WI7BApiZxW9rZpUtpLAAAgPQ880xo/cYb42fSdlCc/brICiZxAwAAZD7F7DvvuPVy5eKndkU4AgtkiErcAAAAB/fii9LevaHh5CVKxF+rEVggQ4ccknISt9W1AAAAQMiuXS6wCI74uPba+GwdAgtkqRL3Sy/RYAAAAOFsCNTatW79ggtCc1TjDYEFDspyMFs5emM9Fr//TqMBAACYQCC+U8yGI7DAQVmXnmU2CHr0URoNAADAfP219Ouvri2OP15q2TJ+24XAAplik5DKl3frb78tLV5MwwEAANBbEUJggUwpWTLUa7F/v/T44zQcAACIb4sWSRMmuPUaNaQuXRTXCCyQaddd5wIMM2qUtHIljQcAAOLXsGFujkXwOqlQIcU1Agtkmg2F6tvXre/eLT31FI0HAADi0+bN7karKVZM6t070kcUeQQWyJKbb5aKFHHrlq9540YaEAAAxB8LKrZtc+uXXx6aixrPCCyQJdWqST17unX7MD33HA0IAADii803ffbZ0PYNN0TyaKIHgQWy7PbbXQraYCaEYLQOAAAQD8aPl5YscetnnCE1ahTpI4oOBBbIsnr1pIsvdusbNkgjRtCIAAAgPthk7UGDQtvxXBAvNQILZMtdd4XWhw51k7kBAABi3UcfSbNmufWjj5ZOPz3SRxQ9CCyQLUccIZ17rltfsUIaPZqGBAAAsS0pSerfP7T98MNSQkIkjyi6EFgg2+6+O7T+2GPSvn00JgAAiF1jx0rz5rn1li2ls86K9BFFFwILZNtxx0nt2rn1v/6S3n+fxgQAALHJbqAOHBjaprfiQAQWyJF77gmtP/JIqPokAABALHnrLWnBArfetm3o5ipCCCyQI6ec4roCzdy50ief0KAAACC27NkjPfBAaPuhh5hbkRYCC+SITVgK77Ww9Gv0WgAAgFjy6qvS4sVuvUMH6cQTI31E0YnAAjl29tlSkyZufcYM6ZtvaFQAABAbdu1yPRRB4etIicACOZaYmLKuxX330WsBAABiw0svScuXu/XOnaVjj430EUUvAgvkiosukho0cOvffy+NG0fDAgAAf9u+3SWnCXrwwUgeTfQjsECuKFhQGjIktH3nnW6iEwAAgF8995y0Zk3oJupRR0X6iKIbgQVyTadOLv2aWbRIGj6cxgUAAP60ebMrABwc9n3//ZE+ouhHYIFczRA1dGho29KybdxIAwMAAP95+unQdcxll0kNG0b6iKIfgQVy1THHSN27u/UNG1KOSwQAAPCD9eulJ58MDfceMCDSR+QPBBbIdVbLomhRt/7ss6G8zwAAAH5gIzC2bHHrV10l1asX6SPyBwIL5LpataSbb3brNoH77rtpZAAA4A+rV7sbo6ZIEZdGH5lDYIE8YXUtKlVy62PGuMJ5AAAA0e7RR6UdO9z6NddINWpE+oj8g8ACeaJ06ZTZE269laJ5AAAguv35p/T88269ePGUBYARw4HFhg0bdOmll6p06dIqW7asrrrqKm3bti3D7zn55JOVkJCQYrnGQtEwS5cu1VlnnaXixYurcuXKuv3227Vv3748/m1iU+/eoQwK06ZJH3wQ6SMCAABIWyAgXX+9tHev27Zh3VWr0lpxEVhYUPHbb79pypQp+vjjjzV16lT16dPnoN/Xu3dvrVy5MnkZElbVbf/+/V5QsWfPHk2bNk2vv/66XnvtNQ0gFUC2FCpE0TwAAOAP48ZJkyeH5osyRzROAov58+dr4sSJGjlypFq2bKk2bdpo2LBhevfdd7VixYoMv9d6IqpWrZq8WI9H0OTJk/X777/rzTffVNOmTXXmmWfqoYce0vPPP+8FG8i6s8+WTjnFrf/1l/TCC7QiAACILjanIph4xjz1lFSiRCSPyJ8KyoemT5/uDX86xoom/Kd9+/ZKTEzUDz/8oPPOOy/d733rrbe8wMGCinPOOUf9+/f3go3g6x555JGqUqVK8vM7dOigvn37er0jzZo1S/M1d+/e7S1BW/7LT5aUlOQteclePxAI5PnPyQnrFDruuAQFAgl68MGALrssoHLlFBX80H7RjPaj/Tj//IvPL+3H+RcyaFCCli5N8NZPOy2gzp3t2kBRKykfr1+y8jN8GVisWrXKm/8QrmDBgipfvrz3WHouueQS1a5dW9WrV9evv/6qO++8UwsWLNAH/w3+t+8NDypMcDuj1x08eLAesDLTqaxdu1a7du1SXr/Zmzdv9k4uC6yikWVTOP/8Mho7tpg2bkzQvffu0P33b1U08EP7RTPaj/bj/PMvPr+0H+ef8/ffBTR0aEVvvVChgAYOXKe1a/crmiXl4/XL1q1b/RlY3HXXXXrssccOOgwqu8LnYFjPRLVq1dSuXTv99ddfql+/frZf9+6779Ytt9ySoseiZs2aqlSpUoqhVnl1YtkkdPtZ0Xxh/Pjj0oQJAe3alaBRo4rrttuKRUWxGb+0X7Si/Wg/zj//4vNL+3H+uQnbV1yRoD17EpKzWLZqVUHRLikfr1+KBqse+y2wuPXWW3XFFVdk+Jx69ep5w5jWrFmTYr9lbrJMUfZYZtn8DLNo0SIvsLDvnTlzZornrLYqKVKGr1ukSBFvSc3e6Py4WLUTK79+VnbVru0+rFaVe+/eBN1zT4Lee09RwQ/tF81oP9qP88+/+PzSfvF+/n34oTRpkluvWdOK4dkxuSAj2iXkU/tl5fWjKrCwqMuWg2nVqpU2bdqkWbNmqUWLFt6+L7/80ovegsFCZsyZM8f7aj0XwdcdNGiQF7QEh1pZ1inrdWjcuHE2fysE3XmnNGKEZDHh2LHS999LrVvTPgAAIDITtm+6KbT95JNM2M4pX96ibdSokc444wwvdaz1MHz//fe67rrr1K1bN2/+hFm+fLkaNmyY3ANhw50sw5MFI0uWLNH48ePVo0cPnXTSSTrqqKO855x++uleAHHZZZfpl19+0aRJk3Tffffp2muvTbNHAllTqpQUPhXFSoiQbAsAAESqwvY//7j19u2lrl15H+IysAhmd7LAweZIdOzY0Us5+/LLLyc/vnfvXm9i9o7/arIXLlxYn3/+uRc82PfZsKuuXbtqwoQJyd9ToEABryaGfbXei+7du3vBx4MPPhiR3zEW9eolBZNrzZuXss4FAABAfli0SApO67W6W8OG2dAi2j6nomooVFZYBqi333473cfr1KnjzZQPssnU33zzzUFf17JGffrpp7l2nEipYEHplVekY4+1goTSQw+5OwSNGtFSAAAg79nl4Y03hkZNWP6dhg1p+bjusYB/WY/Fbbe5dftQ9+5t2Q0ifVQAACAe2GCV4D1kS4l/332RPqLYQWCBiBg4UDr0ULduk7iHD+eNAAAAeWvnTtdbEfTEE1LJkrR6biGwQEQUKyaFTYnxMkb9+y9vBgAAyDs2r2LJErd+6qnSBRfQ2rmJwAIRc8opbjK32bZN6tfPjXsEAADIbX/95TJBBed8PvccE7ZzG4EFIl6R+78yIvr4Y2nMGN4QAACQ+6xmxe7dbv3mm0kckxcILBBRZctKzz8f2r7hBmn9+kgeEQAAiDXjxrkbmMZKnvXvH+kjik0EFoi4886TunRx62vXurRvAAAAuWH1aqlPn5QTtq1oL3IfgQWigo1zLFPGrY8eLU2eHOkjAgAAfmdzNy2t/bp1oZuZF10U6aOKXQQWiAo2z2Lo0ND21Ve7Cd0AAADZ9dprrm6FqVxZeuklJmznJQILRI2rrnKZooylghswINJHBAAA/MquJcJrVlia+0qVInlEsY/AAlEjIcF96IsWddvPPCPNnBnpowIAAH6TlCRdcYW0davb7tlT6tw50kcV+wgsEFWsGvcDD4T+KFidiz17In1UAADAT55+WvrmG7deu7bbRt4jsEDUsaxQzZq59blzpSFDIn1EAADAL377TbrnntBoiNdfl0qXjvRRxQcCC0Qdq4Y5cqRUoIDbfugh6fffI31UAAAg2tkoh8suS1kIr23bSB9V/CCwQFRq3ly69dbQH4lLLpF27Yr0UQEAgGhmNyN//tmtN24sDRoU6SOKLwQWiFr33+/+KJhffpFuuy3SRwQAAKLVjBnSI4+ERj+88UYoIQzyB4EFolaxYtKYMaE/Cs8/L40bF+mjAgAA0WbHDqlHD5f4xQwc6EY/IH8RWCCqNWni0s4GXXml9M8/kTwiAAAQbe64Q1q40K23bCnddVekjyg+EVgg6vXuLV1wgVvftEm6+GJp795IHxUAAIgGkye7UQ3B0Q6jR7uhUMh/BBaIepYqbsQIqU4dtz19uuviBAAA8W3jRjeaIejxx6UGDSJ5RPGNwAK+UKaMm28RvAPx6KPSlCmRPioAABBJ118vLV/u1k87Terbl/cjkggs4BvHHScNHuzWAwGXp3r16kgfFQAAiISxY6W33nLrZctKo0ZJiVzZRhTND99V5T7zTLduQYUFF8EMEAAAID4sWuTmYAbZHIsaNSJ5RDAEFvAVuxPx2mtStWpu24ZDDRkS6aMCAAD5Zft2qUsXafNmt33RRS6xCyKPwAK+U7my9OabblK3ue8+N6EbAADENhsK3aePNHeu227Y0CV4CV4TILIILOBLp57qAgqzf7+7U2GZIQAAQOx69lnp7bfdeqlSrnCufUV0ILCAbw0YIJ14olu3onm9erk7GQAAIPZ8+610222hbRsabT0WiB4EFvAtSz1r2SDKl3fbH3wgDR8e6aMCAAC5bcUKVyx33z63feedbp4FoguBBXytZk3p1VdD2zffLP3ySySPCAAA5KY9e6Tzzw+lmG/fXnr4Ydo4GhFYwPc6dZJuvNGt797tskNYxggAABAbqeaDSVpq1ZLeeSdUMBfRhcACMeGxx6Tmzd36ggXSFVdQ3wIAAL8bPdrVqDBFikj/+59UsWKkjwrpIbBATLA/Nu++G8oM8f770sCBkT4qAACQXT//LF19dWj7hRekY46hPaMZgQVixmGHueDCiugZG39pk7sBAIC/bNggde0q7drltq12xZVXRvqocDAEFogpHTtKTzwR2r7qKornAQDgJ1af6pJLpMWL3fZxx7n6FYh+BBaIOTaR2+5sBCdzn3uuq3MBAACi3/33S5MmufVKldzwZhvyjOhHYIGYk5AgPfecq85t1qyRzjlH2ro10kcGAAAyMn58KJWsDW0eM8alloc/EFggJhUqJI0d6+ZdmLlzXbeqda8CAIDos3ChdNllKTM+nnJKJI8IWUVggZhlFbk//lgqW9Zt27pV6gQAANFl2zZXSXvLFrdtVbZvvTXSR4WsIrBATGvQwI3NLFDAbdvE7ldeifRRAQCAoL17pQsvlObNc9uNG7v/1Ta0Gf5CYIGY165dqLiOueYa6euvI3lEAADABAIu4cpnn7n2KFNG+uCDUF0q+AuBBeKCFdixbFFm3z6XG3vRokgfFQAA8W3AgAS99ppbL1xY+ugj6fDDI31UyC4CC8SNoUOlM84IFd45+2xp06ZIHxUAAPHp9deL6ZFH3HgnG/ZkRW3bto30USEnCCwQNwoWdJW5beymWbBAuuiiBK8HAwAA5J9x46S77y6dvP3MM9L55/MO+B2BBeKKjd207FAVK7rtzz9PUP/+DOQEACC/fPeddOmlCQoEXG+FZWy8/nraPxYQWCDu1K3r7pRYrQvz2mslUkzuBgAAeeP3313R2t27XVDRvXtAgwfT2rGCwAJxqU0bacSI0PZNNyXok08ieUQAAMS2ZcvcXMfg/Ma2bXdr5MgAaWVjCIEF4tbll0t33BHw1pOSEryxnV99FemjAgAg9lgwceaZ0r//uu0WLQIaOXJT8ugBxAYCC8S1QYMC6tRpp7e+a5frnp0+PdJHBQBA7LD/r+eeGyqAV6+eNGFCQCVLupt7iB0EFohriYnSsGGbddZZ7o/b9u3ujsrPP0f6yAAA8L+kJKlHD+mbb9y2JU+ZOFGqUiXSR4a8QGCBuGcFed57L6BTT3VNsXmzdPrp0vz5cd80AADkqKr2zTdLY8e67eLF5c1nPOwwGjVWEVgAkooWddU+TzjBNce6dVK7dtJff9E8AABkx+OPS88+69YLFJDef1867jjaMpYRWAD/KVnS3Ulp3txtr1zpgovgRDMAAJA5b7zh6lMEWSZGG2qM2EZgAYQpW1aaNEk64gi3/c8/Uvv20urVNBMAAJkxZYp05ZWh7Yceknr2pO3iAYEFkIpNLLM/ioce6rb//FM67TRpwwaaCgCAjHz5pdS5s7Rvn9u+5hrp3ntps3hBYAGkoVo16YsvpFq13Pbcua6oz5YtNBcAAGmxm3JnnSXtdFncvRSzzz0nCuDFEQILIB0WVHz+uVS1qtv+8Uf3B9NS0gIAgBBLIWu1oKxmhbH1d991k7YRPwgsgAxYSjy7A1Ohgtv+7jvpvPOk3btpNgAAzKefuuFPwf+N9n/SMkAVKUL7xBsCC+AgmjRxE7pLl3bbFmhcdJG0dy9NBwCIbxMmuCFPe/a47fPPl8aMkVcjCvGHwALIhBYt3B0ZK+5jrObF5ZdL+/fTfACA+DRunNS1a+hGW7du0jvvSIUKRfrIECkEFkAmtW4tjR8f6tq1P55XXy0lJdGEAID4YkOdLrwwFFRceqmrXVGwYKSPDJFEYAFkgRXMsz+mwT+cr7ziggt6LgAA8cKGOlnvRDClbI8e0uuvE1SAwALIsrPPlt56S0r8LywfOdLNuWBCNwAg1tn/v0suCd1Qs0J4o0aR/QkOPRZANlj379tvh+7O/O9/LuDYto3mBADEJuuVuOyy0BDgPn2kESMIKhBCYAFkk/VSWDaM4IRuq3lhQ6XWr6dJAQCxxXolevaUAgG33a+f9OKLod57wHA6ADlg1bgtoChXzm3PnCmdeKK0bBnNCgCIDS+/LF11VSiouOEGV1GboAKpEVgAOdSqlTR1qlStmtueP99lkPrzT5oWAOBv1ithSUqCbr5ZevppKSEhkkeFaEVgAeRSEb3vv5fq13fbS5dKbdpIs2fTvAAAfxo2zA15Crr9dumJJwgqkD4CCyCX1K0rffeddPTRbnvtWunkk6VvvqGJAQD+YUOeHnzQDXkKuuce6bHHCCqQMQILIBdVrSp9/bXrrTBbt0odOrjCegAARLs9e9wk7YEDQ/sGDJAefpigAjEcWGzYsEGXXnqpSpcurbJly+qqq67StgxyfS5ZskQJCQlpLmPHjk1+XlqPv/vuu/n0WyEWlC0rTZoknXWW27b6Fl26SKNHR/rIAABI36ZN0plnurSyxuZRDB0qPfAAQQViPLCwoOK3337TlClT9PHHH2vq1KnqYwmV01GzZk2tXLkyxfLAAw+oZMmSOtM+RWFeffXVFM8799xz8+E3QiyxFLTjxkndu7ttKyR0+eXSU09F+sgAADjQkiUu8ciXX7rtokUlu+966620FjLvv/Je/jJ//nxNnDhRP/74o4455hhv37Bhw9SxY0cNHTpU1atXP+B7ChQooKo2TiXMuHHjdOGFF3rBRTjrAUn9XCCrChVyd33Kl5eefdbtu+UWV+fioYe4+wMAiA4//eSKvK5e7bYrVXJDeI8/PtJHBr/xZWAxffp07+I/GFSY9u3bKzExUT/88IPOO++8g77GrFmzNGfOHD3//PMHPHbttdeqV69eqlevnq655hr17NnTGxKVnt27d3tL0JYtW7yvSUlJ3pKX7PUDgUCe/5xYlR/t9+STUoUKNl7VdRAOGiStWxfQsGEBFSggX+P8o/04//yLzy/tZyyAuPTSBO3Y4a5zGjQI6OOPA16Ww7y8tOD880/7ZeVn+DKwWLVqlSpXrpxiX8GCBVW+fHnvscx45ZVX1KhRI51wwgkp9j/44IM69dRTVbx4cU2ePFn9+vXz5m7cEJ4aIZXBgwd7w6pSW7t2rXbt2qW8frM3b97snVwWWCE6289G6RUqVFz33ltKgUCCXnopQStX7tKzz25WkSLyLc4/2o/zz7/4/NJ+r7xSXP37u/9LpmXLPXr11Y0qVSqgNWs4/6JZUj5e/221TDR+DCzuuusuPWa5zA4yDCqndu7cqbffflv9+/c/4LHwfc2aNdP27dv1+OOPZxhY3H333brFxriE9VjYnI5KlSp5k8vz+sSy3hT7WQQW0d1+d94p1aoV0BVXSPv2JWj8+GJat66oxo4NeNmk/Ijzj/bj/PMvPr/x23427+/22xP0zDOh0RgXXxzQK68UVJEilfLlGPzcftEgKR/br6hNuPFjYHHrrbfqCrvqyoANT7L5D2tShdL79u3zMkVlZm7E+++/rx07dqhHjx4HfW7Lli310EMPeUOdiqRza9n2p/WYvdH58WGxEyu/flYsys/2u/RSN+eia1cLcKVp0xJ03HEJ+vBDKWxkn69w/tF+nH/+xec3/tpvxw73v8j+7wTdd5+N2HCZMPOTH9svmiTkU/tl5fWjKrCwqMuWg2nVqpU2bdrkzZNo0aKFt+/LL7/0ojcLBDIzDKpTp06Z+lk2D6NcuXLpBhVAVlkSsm+/lSzZ2LJl0vLl0oknSiNGhLJIAQCQ22xy9jnnSD/+6LZtnt9LL0lXXUVbI3f4MkS0uRFnnHGGevfurZkzZ+r777/Xddddp27duiVnhFq+fLkaNmzoPR5u0aJFXmpam5yd2oQJEzRy5EjNmzfPe96LL76oRx55RNdff32+/W6IDxYPWxaOYCE9m4pz2WXWNe26qAEAyE02ktyyPAWDChup/dlnBBXIXb4MLMxbb73lBQ7t2rXz0sy2adNGL7/8cvLje/fu1YIFC7whT+FGjRqlGjVq6PTTTz/gNQsVKuRlibIekaZNm+qll17Sk08+qYHh5SeBXFKlivTFF25id5AVIurYUdq4kWYGAOSOr76SLFeN1aowNWtK330nnXYaLYzclRCw6eTIVTZ5u0yZMt5s/fyYvG3zTSxLFmMU/dt+w4dL1jG2b5/bPvRQ6aOPpMaNFdWipf38ivaj/Tj//Msvn9/RoyUbpLF3r9tu1kz6+GMpjZJf+cov7RetkvKx/bJyXcs7CUSBa65xvRcVK7rtRYtcl/WECZE+MgCAH9mw2nvvlS6/PBRUnHWWNHVq5IMKxC4CCyBKnHSSm3fRtKnbtrTRnTu7gnr0KwIAMstKetkwp0ceCe3r29dlgipZknZE3iGwAKJI7dpu3OuFF7ptCygsDeBFF0nbt0f66AAA0e6bb9xwJ5tXEcz89OST0vPPWzHhSB8dYh2BBRBlSpSQ3n3X3WkKphQfOzblxDsAAMIlJUmDB0unnup6LIwNebIA4+abQ/9PgLxEYAFEIfsHcPfd0vjxUqlSbt+vv7oiel9/HemjAwBEk/XrpU6dpHvucQGGad9e+vlnVycJyC8EFkAUO/ts6YcfpMMOC/3zsH8Wzz3HvAsAgGTlupo3lz75JHRjyrLkT5woVa5MCyF/EVgAUa5RI/eP44wzQpk+LDWtpQ9MVaYFABAnbA7esGGu0OrSpW6fZRa0gOL++93cCiC/EVgAPlC2rMs7fscdoX2jRrmhUXPmRPLIAAD5bcsWl9TjhhtCqWRbt3ZDn9Ko/wvkGwILwCfs7tNjj1nVealYMbdv/nypZUuX8SM4rhYAELuC8+0sqUfQbbe5Sdo1akTyyAACC8B3LrlEmjUrVO9izx7p1lulDh2kFSsifXQAgLxiPdV2M2nhQrddpoyrTfH441KhQrQ7Io8eC8Cn8y5mzJBuvz207/PPpaOOcv9kAACxw+bT9ewpXXWVtGuX22cTtmfPdoVUgWhBYAH4VJEi0pAhLqCwXOXBrFHnnSddfTUF9QAgFixYIB1/vPTaa6F911wjff+9VK9eJI8MOBCBBeBz7dq5MbcWUAS9/LK7m2VDpgAA/sz69Pbbbj7F3LmhAqo2z+7FF6WiRSN9hMCBCCyAGFChgvS//0kjRkjFi7t9f/7p7nLZhG9LUQsA8AernN21q3TppdK2bW5f48bSjz+6eXZAtCKwAGKEFUWy2haWbrBFC7dv3z7prrtcUb1lyyJ9hACAzPRSHHGENG5caP9ll7l6Rja/DohmBBZAjGnQQJo2zQUUFmyYr792E7vffz/SRwcASK+XoksX10uxYYPbV6mSSys7erQbBgVEOwILIAYVLiwNHix9+WUor/nGjdIFF0hXXhnqWgcARE8vRXhWPyuA99tv0vnnR/LogKwhsABi2Mknu4ndFlAEvfqq1KyZ61YHAETOypUu8UbqXgrrXX73XbcO+AmBBRDjypWTxoxxAUXJkm7fokXSCSdIAwaEcqIDAPKvl+LNN10vxUcfhfZ36yb9/rubuA34EYEFEAdsrsUVV7iJ3ccd5/ZZpqiHHpKOPNLVwgAA5E8vxbnnugnZNkTVVK7sMvu9845UsSLvAvyLwAKII4ceKn33ndS/v1SwYKj34rTTXFf86tWRPkIAiN1eijfecGljx48P7b/4YjeXwiZuA35HYAHEmUKFpAcfdL0XrVuH9tvkwYYNpZdekpKSInmEABBbVqyQOnWSevSQNm0K9VJ88IH720svBWIFgQUQp5o0kaZOdUX1bB6GsX9411wjtWnjJn0DAHLWS2GpYm0uxccfh/ZbkTubS2ETt4FYQmABxLHERFdU748/3HjfoOnTpebNpTvukLZvj+QRAoA/LV/ueikuvzzUS1Gliit899ZbUoUKkT5CIPcRWADwuuTtrprVvbACe8HJ3Y8/7sYDT5hAIwFAZuzcKQ0a5P6WhvdS2Dw2m0thE7eBWEVgASDZKae4IVAPPCAVKeL2LV3q7rrZxMJly2gsAEhv2JPVn7CbMffdJ+3YEeqlsMJ3ll6WXgrEOgILAClYQGH1LebOldq1C+237vtGjaSnn5b27aPRACDol1/cjRkrRrpkidtXoIB03XVuLkXnzrQV4gOBBYA0HXaYNGWKGwtsQ6XMtm3SzTe7Whg//kjDAYhv69YlqG/fBG9O2jffhPa3by/NmSMNGyaVLx/JIwTyF4EFgAwL61n2EpvcffXVof2WqrZlS+n66xO0ZUsCLQggruzZ43pvW7eupJdfTkhO0V2/vqukPXmyy7wHxBsCCwAHZelohw+Xpk1zlbqD44lfeCFBJ5xQUc895/7RAkCs++wz6aijpFtvTdSWLe4yqmRJ6bHH3ORsm5NmN2WAeERgASDTWrWSZs2ShgyRihd3+9avL6Abb0z0iuvZsCmK6wGIRQsWSGedJXXs6NZNQkJAPXsGtHChS88dTHoBxCsCCwBZrtx9++1uQuKFFwaS9y9eLHXv7upf2B0969EAAL+zGhS33OKGNn36aWj/CScE9Omn6zVyZEBVq0byCIHoQWABIFtq15beeSegiRPXqX37QIrsKHZHzzKk/PADjQvAn6yWz8svu0QWTz0VyoZXo4b09tvS1KkBNW1KijwgHIEFgBw5+uh9mjQp4GWQatEitN8ypBx/vNS1q5v8DQB+YX+/7O+ZJa1Yt87tK1pUGjjQ/T27+GLmUQBpIbAAkCssveLMmdKYMdKhh4b2f/CBdMQRUu/e0vLlNDaA6PXdd9Jpp0knn+x6X4O6dXPzKu6/XypRIpJHCEQ3AgsAufcHJdHmXbj5Fy++qORxxzahe+RIF3DcdZe0cSONDiB6TJ3qCoKeeKL0+eeh/c2aucfeeUeqVSuSRwj4A4EFgDyZ4H3NNdKiRdLDD0ulS7v9u3a5lIz16rnMUjt30vgAIufrr918sLZtpS+/DO23v1GvvuoKgVqwASBzCCwA5BkbMnDvvdLff7usKoULh7Ks3HmnmxRpPRnBSZEAkNcsY50FERZMWFBhwUWQFbizgMLmUVxxhVSgAO8HkBUEFgDyXIUK0hNPSH/+KV1+eWjSo825sLkXVnTv3XcJMADkbUBhw5xOOskNe7IhTkF2k+P110MBhfW6Asg6AgsA+Zqi9rXXpF9/lc45J7Q/mGXF/rkPGyZt386bAiD3AopJk6Q2bdzEbJugHXT44dKbb7p5YT16SAUL0upAThBYAMh3Vmhq/Hjp22+l1q1D+5cskW64wU2S7N9fWr2aNwdA9gMKK9bZqpV0xhnStGmhxxo1crUofvtNuvRSAgogtxBYAIgYu4NowYUNT+jQIbR/wwY36dt6OPr0cWkeASCzAcUnn7g6OlasM7xQZ+PGbtjl3Lmul5Q5FEDuIrAAEFE238LGO0+c6PLGX3ZZ6O7h7t3SiBHu7uK550rff8+bBSBtltZ6wgTpuOOks892dXXCe0nfe88FFBddREAB5BUCCwBR46ijpNGjXRapW2+VSpUK3YH86CPXw3HCCdK4cdL+/ZE+WgDRwLLMPfOMuwHRqZP0008p/6a8/767aXHBBa7WDoC8w0cMQNSpWVMaOlT6919X76J69dBj06dLXbq4i4iXXqIWBhCvLAnE1VdLhxwi3XSTyzoX1LSp9MEH0s8/S127ElAA+YXAAkDUKlNGuv12afFil03KhjMELVzoivDZPIyHHpLWr4/kkQLID3v2SGPGuJSxRx8tvfyytGNH6HGrS2G9m7NnS+edR0AB5DcCCwBRzwrrWf0Lu0P56afu4iFo7VppwACXSer6690wKgCxZcUKaeBAdyOhWzeX9CGoZEmpXz9p3jxX+M6GQwVr5QDIXwQWAHzDLhbOPNNdPNg4apuEGRwzbXctn3tOOvRQ6fTTXeaXXbsifcQAssvmVn3zjXThhS6gePBBadWq0OM2HNI+81Zo8/nnpSOOoK2BSCOwAOBLLVq44GHRIlf7onjx0MXIlCkulWS1atJ110mzZrn9AKLftm3S8OFu4vXJJ0tjx0r79rnHLD2szbH64gtXg+Laa6XSpSN9xACCCCwA+Frdui4jjE30HjRIqlcvZbYYu5N5zDFuMqc9b926SB4tgPT88Ye7SWCTsfv2dUObgipXlu67zxXR/N//pFNPZbgTEI0ILADEhPLlpXvucZO6v/rK1cMoViz0uM3PsMwxlmHK0k7aXI3gXVAAkWG1aix702mnuaFNw4ZJW7aEHrf00m+9JS1d6pI01KjBOwVEMwILADHF5lzY8Amrh7FypcsaYxV4g/budXntzzrLjdsOBiMA8ocF9JMnS1deKVWp4tLBfv556HG7IdCrl0sVa0UxL7lEKlKEdwfwAwILADGdrrZ3b1f7wsZj33abG1IRnmlm8GCpQQPpxBOlV19147sB5H5V7O++c3OebKhThw7u87Z5c+g59etLTzzhJmOPGOGGLwLwFwILAHGhcWPp8celZctcnvvOnd1E0CC76LE7qFWrSldd5e6UMuEbyD77/Fg9CatFU6eOC95tztOaNaHnlCrlhi1OnOgK3N1yi1SuHK0O+FXBSB8AAOSnQoVcnntbLHXlm29Ko0ZJ8+e7x7dvd9u2WOpaK7J17rlSy5YpAxEA6U/Cfucdl7UtvBp2UNGi0tlnu3oUHTumnAsFwN8ILADELeudsOFRt94qzZzpggm7INq61T1uqWytl8MWG0JlwYgFGe3auYsjAI5la7KK2Pb5+eWXA1ulYEFXX8bSQNvniBSxQGwisAAQ96zwnvVI2PLUUy6dpY3/tuJcNjbc2PCNkSPdUqKEdMYZbjiVTQK3jFRAvLEeP6sxYcGEzWNK63PVtq0LJqz2RMWKkThKAPmJwAIAwlihPRvzbYvVvPj4Y+nDD10Wm507Q8OlLPiwxYZH2cWTBRm2WKYpIFbnTFgShEmTXLrmr78OBd7hLEC3YU5WMdvSOwOIHwQWAJAOu8N6xRVu2bHDVfS2id/jx0vr17vn7N8vffmlW2680WWyseFStljlYLtrC/iVned23lswYcG1ZVJLy5FHumDClvAilQDiC4EFAGSyJyPYK2F5+KdNc0GG9Wb8/XfoeXPmuOX++13vRTDIaNPGjTMHopnVeZkxIxRI/PRT+tnRLD2sDXOyYOKII/L7SAFEI/7NAUBW/3AWlE46yS1Dh7rhIRZgWKBhF2JB//wjPfOMW2wehhXuC34fvRmIFhYYW6+EBRLW8xZe+TqcZW+yc9hqUNhE7IYN6ZEDkBKBBQDkgA11atLELffdJ/37rxsqZUHGV1+53g2zYYP0wQduCRbva906Qc2bl9CZZ0rHHutS4QJ5zbKe2bk5cWKCJk6sqMWL0y9pZQFwMJCwXjeyoQHICIEFAOSimjWla691y6ZN0mefud4MG1oSXmXY1j/9NEGfflpKDz/shlq1auV6M2wy+HHHkd8fucOSDtjwPJtsbeehDeOzIU9SwgGXATav6LTTQsFEtWq8CwAyj8ACAPJI2bJuDLotNsl73jxp6tTQEl6B2CaHf/GFW0zhwi64CA6dOuEEV6UYyIidZ7//Lv34o6vNYsvcuaGes9QKFgx451aHDgleMNGsmZSYfgcGAGSIwAIA8oGlpT36aLdcf72bEDt/fpI++WSr5swpralTE7RsWej5e/ZI333nlkcecd9vF33BHo3WraUKFXjr4pmdQ1aYLjyImD3bpUPOiE26tiCiffskNWmyVvXrV1JiIunLAOQcgQUARGhuhk1+LV9+p269tZQSEhK8yd7hPRoLF6a8E20Tw2158km375BDXJpPW2wsvH211yxShLc0Fq1dGwoigl+t1srBzrPGjd0cHqsvYcOcLLAwVoNizZp0Uj4BQDYQWABAFLALwDp13NKjh9u3cqX07beuArgFGjaUKtzy5W6ZODG0z3o2Dj/8wIDDUt9SU8M/bLK/vd/hQYT1ThyMvc82hM4CCfvavDlD6ADkHwILAIhSNnHWqhfbEixWZkOjLNCYNUv69Vc3QTytMfa2jBkT2m/zMyxzVTDgCC6WBheRsXGj65WyZdGi0Lot9tjB2FC48CDCvlaunB9HDgBpI7AAAJ+wC8lgkb7gGHvrsbDJueGLBRUu60/KFKPTp7slXHA4lQ2XqVVLqlHDZbayr1WquB4QZJ8FfmkFDrYdrN6eGZY1rEWLlIGE9W7RCwUgmvg2sBg0aJA++eQTzZkzR4ULF9am1Lft0hAIBDRw4ECNGDHCe37r1q314osv6rDDDkt+zoYNG3T99ddrwoQJSkxMVNeuXfXMM8+oZMmSefwbAUDW2EWlBQC2WC2MIAsq/vzzwIAjraE0aQ2nCi8EWL16KNBI66sFH/GaRcjmKFjPgs19sLkONvk+dRBxsDkQab2n1q72b6lBA+mYY1wg0agRldsBRD/fBhZ79uzRBRdcoFatWumVV17J1PcMGTJEzz77rF5//XXVrVtX/fv3V4cOHfT777+r6H9Vfy699FKtXLlSU6ZM0d69e9WzZ0/16dNHb7/9dh7/RgCQO6zQ3hFHuKVbt9B+q6hs4/ZTBxzpDbuxFKVLl7olPRZ8WK9H6oDDAhIrAmj3ZIKLDceyrza5PBrvtFvK32CQEPya3rp9tXkQFlxkh7XRoYe6ACJ8qVePInQA/Mu3gcUDDzzgfX3ttdcy9XzrrXj66ad13333qfN/4whGjx6tKlWq6MMPP1S3bt00f/58TZw4UT/++KOOsdtEkoYNG6aOHTtq6NChqm7/KQHAp0qXdvUwbAmy4VQrVri761Y13O66p/6a0V13Cz4sm5UtmWXDq8IDjbSCj9TbJUqEfl5wsZ6ZjRuLq1gxN7ck/LHw56S13xYLtMKDBSskl5ss4AoGDOFBhGVlsmMGgFjj28AiqxYvXqxVq1apffv2yfvKlCmjli1bavr06V5gYV/Lli2bHFQYe74Nifrhhx903nnnpfnau3fv9pagLfbfyusmT/KWvGSvb0FTXv+cWEX70X6cf26SeEYVlu2C2wKMYLBhQ6f+/dfV3Qgu69dnvgvCggCrPB5eiTx7bAxW6Xx/C0uWDHgVqsOXSpVsWFjACxosiLCvwWAoLdHwJ5u/f7Qf559/JeXj9V9WfkbcBBYWVBjroQhn28HH7GvlVCk1ChYsqPLlyyc/Jy2DBw9O7kEJt3btWu3atUt5/WZv3rzZO7ksAALtl584/+Kn/WxYky02vCq9YUQrVxbwlhUrErVmTQFt25ag7dsTtGOH++qWRG9/yn0JSkqKzNioAgUCKl8+SRUqJIV9TbkvfL1cuaRM9TZYkbqDFaqLND+df9GI9qP94uX822rZP/wYWNx111167LHHMnyODVdqaBWgosjdd9+tW265JUWPRc2aNVWpUiWVtrEHeXxiWWEt+1n8Y6D98hvnH+0XzrIUZYf9Y9y1K+Blrtq27cDF9ttFus3LsDkdwcWCgh07tqh8+dIqVCjBm1sS/vjBFutRKFvWXteCGkt/FV8psPj80n6cf/6VlI/Xf8F5yL4LLG699VZdccUVGT6nns1sy4aqVat6X1evXq1qYX3+tt20adPk56xZsybF9+3bt8/LFBX8/rQUKVLEW1KzNzo/LvbtxMqvnxWLaD/aj/Mv8uwiP6OhQ+n9Y12zZrcqV3Z/A5F1/P3LGdqP9ouH8y8xC68fVYGFRV225AXLAmXBwRdffJEcSFjPgs2d6Nu3r7dtGaYsDe2sWbPUwhKGS/ryyy+9f142FwMAAABA2nx7i2fp0qVeDQv7un//fm/dlm3Wb/4fGzI1bty45Kjupptu0sMPP6zx48dr7ty56tGjh5fp6f/t3QeQU9X3wPG7S1tAqvQOgoAUWUSaqChIEQQHlKqIBaQX6UhRirLAgI4DggwIOggDCIhKE1wbIiBSpK10EFiUvhRpe/9z7n+SX5LN7iZ52WXz8v3MxJD3bl42x/PKyXv3vueff960qVy5smrWrJnq1q2b2rp1q9q0aZPq06eP6djNiFAAAABAiJyx8MeYMWPM/SgcoqOjzXNsbKxq2LCh+XdcXJzp2OIwdOhQde3aNXNfCjkz0aBBAzO8rOu1YwsXLjTFRKNGjZw3yJN7XwAAAABIXoSWXnMIKrnESoaylaImPTpvS78QGc2Ka4yJX3oj/4jfvUT+ET/yL3Sx/oZO/Pw5rg3ZS6EAAAAAZBwUFgAAAAAso7AAAAAAYBmFBQAAAADLKCwAAAAAWEZhAQAAAMAyCgsAAAAAllFYAAAAALCMwgIAAACAZRQWAAAAACyjsAAAAABgGYUFAAAAAMsoLAAAAABYRmEBAAAAwDIKCwAAAACWUVgAAAAAsIzCAgAAAIBlFBYAAAAALKOwAAAAAGAZhQUAAAAAyygsAAAAAFhGYQEAAADAsszWFwFPWmvzfOXKlTQPTmJiokpISFBRUVEqMpI6kfilL/KP+N1L5B/xI/9CF+tv6MTPcTzrOL5NCYVFGpD/0aJkyZJpsXgAAAAg3Y9v8+TJk2KbCO1L+QG/q8jTp0+rXLlyqYiIiDSvIqWAOXnypMqdO3eafpYdET/iR/6FLtZf4kf+hS7W39CJn5QKUlQUK1Ys1bMjnLFIAxL0EiVKqPQkSUVhQfzuFfKP+N1L5B/xI/9CF+tvaMQvtTMVDlyUDwAAAMAyCgsAAAAAllFYhLhs2bKpsWPHmmcQP/IvtLD+Ej/yL3Sx/hI/8i8pOm8DAAAAsIwzFgAAAAAso7AAAAAAYBmFBQAAAADLKCwyuIkTJ6r69eurHDlyqLx58/p8I5MxY8aookWLquzZs6vGjRurgwcPurW5cOGC6ty5sxn7WJb7+uuvq6tXryq78fd7Hjt2zNzU0Ntj6dKlznbe5i9evFjZTSB50rBhwySx6dGjh1ubEydOqBYtWpi8LlSokBoyZIi6c+eOCvf4Sfu+ffuqihUrmnW3VKlSql+/fury5ctu7eyafzNmzFBlypRRUVFRqk6dOmrr1q0ptpd1slKlSqZ9tWrV1OrVq/3eFtqJP/GbM2eOevzxx1W+fPnMQ2Lj2b5r165J8qxZs2bKrvyJ3/z585PERt7nivzb6td+Qh6yXwjH/Pvpp5/Uc889Z25AJ99z5cqVqb7nhx9+UDVr1jSDCJQvX97kpNVtalDInbeRcY0ZM0ZPmzZNv/XWWzpPnjw+vWfSpEmm7cqVK/WuXbt0q1atdNmyZfWNGzecbZo1a6Yffvhh/dtvv+mff/5Zly9fXnfs2FHbjb/f886dO/rMmTNuj3fffVffd999OiEhwdlOVp1PP/3UrZ1rfO0ikDx58skndbdu3dxic/nyZbcYV61aVTdu3Fjv2LFDr169WhcoUECPGDFCh3v8/vzzT92mTRu9atUqfejQIb1x40ZdoUIF3bZtW7d2dsy/xYsX66xZs+p58+bpvXv3mhzKmzevPnv2rNf2mzZt0pkyZdKTJ0/W+/bt06NGjdJZsmQxMfRnW2gX/savU6dOesaMGWYd3L9/v+7atauJ1d9//+1s88orr5gcds2zCxcuaDvyN36y/uXOndstNvHx8W5tyL/k43f+/Hm32O3Zs8eszxLXcMy/1atX67ffflsvX77cbN9XrFiRYvsjR47oHDlymGND2f599NFHJn5r164NOKeDhcIiRMjK5kthkZiYqIsUKaKnTJninHbp0iWdLVs2vWjRIvNaklASd9u2bc42a9as0REREfrUqVPaLoL1PWvUqKFfe+01t2m+rPjhGj8pLPr375/iBjQyMtJtJ/zxxx+bnfTNmze1XQQr/5YsWWJ2Drdv37Z1/tWuXVv37t3b+fru3bu6WLFi+v333/favl27drpFixZu0+rUqaPffPNNn7eF4Rw/T1Lw58qVSy9YsMDtwK5169Y6HPgbv9T2yeSff/k3ffp0k39Xr14Ny/xz5cv2fejQobpKlSpu09q3b6+bNm0atG1CoLgUymaOHj2q4uPjzWlt19uwyymwzZs3m9fyLJdl1KpVy9lG2kdGRqotW7YouwjG99y+fbvauXOnuYTFU+/evVWBAgVU7dq11bx588xpbzuxEr+FCxea2FStWlWNGDFCXb9+3W25ctlK4cKFndOaNm2qrly5ovbu3avsIljrmVwGJZdSZc6c2bb5d+vWLbOuuW63JE7y2rHd8iTTXds78sjR3pdtoV0EEj9Pso7evn1b5c+fP8nlFnK5olye17NnT3X+/HllN4HGTy5rLF26tCpZsqRq3bq12/aL/PMv/+bOnas6dOigcubMGXb5F4jUtn/B2CYEyn1PhZAnO1LhetDmeO2YJ8+yorqSgxbZoTja2EEwvqds7CpXrmz6ubgaN26cevrpp00fgfXr16tevXqZnYxcDx/u8evUqZPZ2cq1ort371bDhg1TcXFxavny5c7lestPxzy7CEb+nTt3To0fP151797d1vkn3/Pu3bte8+LAgQNe35NcHrlu5xzTkmtjF4HEz5Osp7LOuh6IyPXsbdq0UWXLllWHDx9WI0eOVM2bNzcHJpkyZVLhHD850JWCvnr16qb4nzp1qtlPSHFRokQJ8s+P/JPr/vfs2WP2t67CJf8Ckdz2T36gu3Hjhrp48aLlbUKgKCzugeHDh6uYmJgU2+zfv990SkTg8bNKVs4vvvhCjR49Osk812nR0dHq2rVrasqUKSFxYJfW8XM9CJYzE9JxtlGjRmbH8MADD6hQl175JzsI6cj40EMPqXfeecc2+YeMZ9KkSabzv/w67NoBWX5Bdl2X5SBa1mFpJ+t0OKtXr555OEhRIT9CzZ492/wYAN9JQSH5JWdfXZF/oYnC4h4YNGiQGe0gJeXKlQto2UWKFDHPZ8+eNQd0DvK6Ro0azjb//POP2/tkRB4ZkcbxfjvEz+r3XLZsmbk8oEuXLqm2lcsrZGdy8+ZNM0JDRpZe8XONjTh06JA5KJH3eo5MIfkpyL//l5CQYH6ty5Url1qxYoXKkiWLbfLPG7mkS36BdOSBg7xOLidkekrtfdkW2kUg8XOQX9qlsNiwYYMpHFLbLshnybpsp8LCSvwcZB2VIl9iI8g/3+InP4pIUStnYVNj1/wLRHLbP7lsVkbAk3y2mtMBS9MeHLhnnbenTp3qnCYj8njrvP37778726xbt862nbcD/Z7SCdlzNJ7kTJgwQefLl0/bSbDy5JdffjHLkVF5XDtvu45MMXv2bNN5+7///tPhHj9ZX+vWrWvy79q1a2GTf9LRsE+fPm4dDYsXL55i5+2WLVu6TatXr16SztspbQvtxN/4iZiYGLPebd682afPOHnypMnfr776SttNIPHz7PxesWJFPXDgQPOa/PMtfnJsI+vkuXPnwjr/Aum8LaMrupIRBz07b1vJ6UBRWGRwx48fN8MBOoY8lX/Lw3XoU9mYyRBlrkPcyZBisvLt3r3bjKrgbbjZ6OhovWXLFnPgJ0Na2nW42ZS+pwytKPGT+a4OHjxoNmAyio8nGQp0zpw5ZlhLaTdz5kwz7JsMDRzu8ZMhUseNG2cOpo8ePWpysFy5cvqJJ55IMtxskyZN9M6dO83weAULFrTtcLP+xE8OfGVko2rVqplYug6zKHGzc/7J0IhygDF//nxTlHXv3t1sxxyjh7388st6+PDhbsPNZs6c2RQOMlzq2LFjvQ43m9q20C78jZ/ERkYbW7ZsmVueOfYt8jx48GBTdMi6vGHDBl2zZk2Tw3b6ASDQ+Mk+WX4oOHz4sN6+fbvu0KGDjoqKMsN6OpB/ycfPoUGDBmY0I0/hln8JCQnO4zspLOQ2A/JvOQYUEjuJoedws0OGDDHbPxk62ttwsynldFqhsMjgZLg1STLPR2xsbJIx7R3kl5LRo0frwoULm6Rq1KiRjouLSzKGtBzgSLEiv1i9+uqrbsWKXaT2PWWD5RlPIQe5JUuWNBW+Jyk2ZAhaWWbOnDnNfQpmzZrltW24xe/EiROmiMifP7/JPblvg2z4XO9jIY4dO6abN2+us2fPbu5hMWjQILfhVMM1fvLsbX2Xh7S1e/7JWOylSpUyB7zya5vc/8NBzuDI9tBzKN4HH3zQtJehF7/99lu3+b5sC+3En/iVLl3aa55JgSauX79uin8p+qVgk/YyDn5aH5SESvwGDBjgbCv59eyzz+o//vjDbXnkX8rr74EDB0zOrV+/Psn/i3DLv9hktv2OmMmzxNDzPbIvkByUH/BcjwN9yem0EiH/SduLrQAAAADYHfexAAAAAGAZhQUAAAAAyygsAAAAAFhGYQEAAADAMgoLAAAAAJZRWAAAAACwjMICAAAAgGUUFgAAAAAso7AAAGRYiYmJqmrVqmrixInp9pl169ZVQ4cOTbfPAwC7oLAAAATdSy+9pKKiotRff/2VZN6kSZNURESE+uabb1JdzqJFi9TJkydVnz59vM6fOXOmWVadOnW8zj927JiZP3XqVK/zZbrMl3YOw4YNUzNmzFDx8fGp/n0AgP+hsAAABN20adNUjhw5VI8ePdymHz16VI0bN061bdtWtWzZMtXlTJkyRXXo0EHlyZPH6/yFCxeqMmXKqK1bt6pDhw4F5W9v3bq1yp07tylaAAC+o7AAAARdoUKFVExMjIqNjVULFixwTu/Vq5fKkiWL+vDDD1Ndxo4dO9SuXbtUu3btvM6XIuXXX381RUzBggVNkREMkZGR6oUXXlCfffaZ0loHZZkAEA4oLAAAaeKNN95Qjz32mBo8eLA6f/68Wrx4sVq7dq2aMGGCKl68eKrvX7lypcqaNat64oknvM6XQiJfvnyqRYsWphAIVmEhnnnmGXX8+HG1c+fOoC0TAOyOwgIAkCak78Ls2bPV5cuXVc+ePdXAgQNVrVq1VO/evX16v5yNkI7bcobDGykk2rRpY4qPjh07qoMHD6pt27YF5W9/5JFHzPOmTZuCsjwACAcUFgCANFOlShVzxmLp0qXq33//NYWGXGrkiwMHDqiyZct6nbd9+3YzX/pfiAYNGqgSJUoE7ayFnFGRgmXfvn1BWR4AhAMKCwBAmipQoIB5LlasmDkD4Su5fEoudfJGCojChQurp556ynl2pH379uZyq7t37wbl75bPPnfuXFCWBQDhgMICAJBmZKjYsWPHmoJC/j158mS/3u+t87QUDlJASFEhHbhlNCh5yJCzZ8+eVRs3bvT775TCxNtne5sOAPCOwgIAkGYc959Ys2aNevHFF82N7o4cOeLTe++//3518eLFJNO///57debMGVNcVKhQwflwjB7lejmU3EtD3Lhxw+tnXL9+3a2dq0uXLjnPtgAAUpfZhzYAAPhtxYoVatWqVWr69Omm/8MHH3yg1q1bZzpvS6GRmkqVKpkzEp6kcJDhbOUmdp6WL19uPnfWrFkqe/bsZhhauZ9GXFyc18+Q6TLfs4A4deqUunXrlqpcubJf3xkAwhmFBQAg6BISElS/fv1UdHS06tu3r7OPxfjx41X//v1NZ245g5GSevXqmbt037x5U2XLls155kGKB3mvDDHrST5D7tYtBY30uciUKZNq0qSJ+vrrr9WJEydUqVKlnG3ltUyX+dLOs3O4qF+/flDiAQDhgEuhAABBN2rUKHX69GkzCpTrQbucrahZs6YaMGCAKT5SuwP27du31Y8//uicJgWDvK9Vq1Ze31O3bt0kN8t77733zLN87siRI9Unn3xinuW19KFwzHf13XffmSJECiMAgG8oLAAAQSW/9stlSnKX7UcffdRtnhQZcplSfHy8KT5Su5dE9erV1ZIlS5zTpGCQ/hByAztvZChbuWGe3IhPRpUScjnTli1bVOPGjdXcuXNNcSPPsgyZ7nm5U2Jiovryyy9Vly5d6LwNAH6I0N6G3AAAIAP4/PPPTSEgly3lzZs3XT5T7vjdqVMndfjwYVW0aNF0+UwAsAPOWAAAMqzOnTubS5K8ddROKzExMWY0K4oKAPAPZywAAAAAWMYZCwAAAACWUVgAAAAAsIzCAgAAAIBlFBYAAAAALKOwAAAAAGAZhQUAAAAAyygsAAAAAFhGYQEAAADAMgoLAAAAAJZRWAAAAACwjMICAAAAgLLq/wBw5ZeBHvhqDgAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Example: Create a simple plot\n", "# This is a placeholder - replace with actual MultiNEAs functionality\n", "\n", "# Sample data for demonstration\n", "angles = np.linspace(0, 2*np.pi, 100)\n", "x = np.cos(angles)\n", "y = np.sin(angles)\n", "\n", "plt.figure(figsize=(8, 8))\n", "plt.plot(x, y, 'b-', linewidth=2, label='Circular orbit')\n", "plt.plot(0, 0, 'yo', markersize=15, label='Sun')\n", "plt.xlabel('X (AU)', fontsize=12)\n", "plt.ylabel('Y (AU)', fontsize=12)\n", "plt.title('Example: Simple Circular Orbit', fontsize=14, fontweight='bold')\n", "plt.grid(True, alpha=0.3)\n", "plt.axis('equal')\n", "plt.legend()\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Next Steps\n", "\n", "Now that you have successfully loaded the `MultiNEAs` package, you can:\n", "\n", "- Explore the available modules and functions\n", "- Work with orbital dynamics calculations\n", "- Analyze NEA populations\n", "- Create visualizations of asteroid data\n", "\n", "For more information, visit the [GitHub repository](https://github.com/seap-udea/MultiNEAs) or check the documentation." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---\n", "\n", "**MultiNEAs** - Numerical tools for near-earth asteroid dynamics and population\n", "\n", "© 2026 Jorge I. Zuluaga and Juanita A. Agudelo" ] } ], "metadata": { "kernelspec": { "display_name": ".multineas", "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": "3.12.5" } }, "nbformat": 4, "nbformat_minor": 4 }