{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "heading",
   "metadata": {},
   "source": [
    "## Extract Frames from ams.rkf Trajectory\n",
    "\n",
    "This example first runs a short toy molecular dynamics simulation of a small water box. It then loads the generated `ams.rkf` file and extracts PLAMS `Molecule` objects from the frames."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "imports",
   "metadata": {},
   "source": [
    "Import the PLAMS tools used for setup, MD, trajectory reading, and structure visualization.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "imports-code",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "from typing import List\n",
    "from scm.plams import AMSJob, Molecule, Settings, Trajectory, from_smiles, packmol, view"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "run-md",
   "metadata": {},
   "source": [
    "### Run Short Water-Box MD Simulation\n",
    "\n",
    "Build a small water box with Packmol and run a very short ReaxFF MD simulation.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "run-md-code",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[30.03|10:23:40] JOB toy_water_box_md STARTED\n",
      "[30.03|10:23:40] JOB toy_water_box_md RUNNING\n",
      "[30.03|10:23:41] JOB toy_water_box_md FINISHED\n",
      "[30.03|10:23:41] JOB toy_water_box_md SUCCESSFUL\n",
      "Trajectory file: /Users/ormrodmorley/Documents/code/ams/amshome/userdoc/PythonExamples/extract-rkf-frames/plams_workdir/toy_water_box_md/ams.rkf\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<PIL.Image.Image image mode=RGBA size=300x300>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "water_box = packmol(from_smiles(\"O\"), n_molecules=8, density=1.0)\n",
    "\n",
    "md_settings = Settings()\n",
    "md_settings.input.ams.Task = \"MolecularDynamics\"\n",
    "md_settings.input.ReaxFF.ForceField = \"Water2017.ff\"\n",
    "md_settings.input.ams.MolecularDynamics.NSteps = 20\n",
    "md_settings.input.ams.MolecularDynamics.TimeStep = 0.5\n",
    "md_settings.input.ams.MolecularDynamics.Trajectory.SamplingFreq = 1\n",
    "md_settings.input.ams.MolecularDynamics.InitialVelocities.Temperature = 300\n",
    "md_settings.runscript.nproc = 1\n",
    "md_settings.runscript.preamble_lines = [\"export OMP_NUM_THREADS=1\"]\n",
    "\n",
    "md_job = AMSJob(name=\"toy_water_box_md\", molecule=water_box, settings=md_settings)\n",
    "md_results = md_job.run()\n",
    "if not md_results.ok():\n",
    "    raise RuntimeError(\"Toy MD run did not finish successfully.\")\n",
    "\n",
    "rkf_path = md_results.rkfpath()\n",
    "print(f\"Trajectory file: {rkf_path}\")\n",
    "\n",
    "view(water_box, direction=\"tilt_z\", width=300, height=300)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "extract-first",
   "metadata": {},
   "source": [
    "### Extract First Five Frames\n",
    "\n",
    "Use `Trajectory` to iterate over frames in `ams.rkf`. Each frame is returned as a PLAMS `Molecule`.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "extract-first-code",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Frame 1\n",
      "  Atoms: \n",
      "    1         O       2.122478       4.901885       4.649045\n",
      "    2         H       2.415803       4.171260       4.065070\n",
      "    3         H       2.842374       5.206620       5.243269\n",
      "    4         O       5.225673       1.935242       3.756869\n",
      "    5         H       5.206033       2.081544       2.787803\n",
      "    6         H       5.161149       0.982163       3.984227\n",
      "    7         O       3.662690       5.085632       1.371000\n",
      "    8         H       3.108086       4.601494       2.018229\n",
      "    9         H       4.485860       4.595434       1.155799\n",
      "   10         O       5.245516       4.800435       3.768976\n",
      "   11         H       5.211770       4.037750       4.383836\n",
      "   12         H       4.371316       5.239115       3.682093\n",
      "   13         O       1.035715       4.034219       2.389352\n",
      "   14         H       1.005811       3.056166       2.331067\n",
      "   15         H       0.998617       4.454725       1.502778\n",
      "   16         O       2.157023       1.928446       5.210190\n",
      "   17         H       3.014570       2.403300       5.208020\n",
      "   18         H       1.395665       2.548484       5.220242\n",
      "   19         O       3.166075       1.427256       3.215241\n",
      "   20         H       3.113705       2.385065       3.013404\n",
      "   21         H       2.277259       1.011070       3.247022\n",
      "   22         O       3.427714       1.837006       0.931696\n",
      "   23         H       4.204848       1.249102       1.038045\n",
      "   24         H       2.584886       1.364150       1.105659\n",
      "  Bonds: \n",
      "   (1)--0.9--(2)\n",
      "   (1)--0.9--(3)\n",
      "   (4)--0.9--(5)\n",
      "   (4)--0.9--(6)\n",
      "   (7)--0.9--(8)\n",
      "   (7)--0.9--(9)\n",
      "   (10)--0.9--(11)\n",
      "   (10)--0.9--(12)\n",
      "   (13)--0.9--(14)\n",
      "   (13)--0.9--(15)\n",
      "   (16)--0.9--(17)\n",
      "   (16)--0.9--(18)\n",
      "   (19)--0.9--(20)\n",
      "   (19)--0.9--(21)\n",
      "   (22)--0.9--(23)\n",
      "   (22)--0.9--(24)\n",
      "  Lattice:\n",
      "        6.2086047072     0.0000000000     0.0000000000\n",
      "        0.0000000000     6.2086047072     0.0000000000\n",
      "        0.0000000000     0.0000000000     6.2086047072\n",
      "\n",
      "Frame 2\n",
      "  Atoms: \n",
      "    1         O       2.124345       4.902653       4.648604\n",
      "    2         H       2.425350       4.166469       4.072900\n",
      "    3         H       2.842475       5.203466       5.238901\n",
      "    4         O       5.219253       1.934865       3.759138\n",
      "    5         H       5.206691       2.071277       2.788947\n",
      "    6         H       5.171020       0.985951       3.979126\n",
      "    7         O       3.664752       5.084097       1.371311\n",
      "    8         H       3.101061       4.612225       2.016125\n",
      "    9         H       4.502159       4.601431       1.156767\n",
      "   10         O       5.246263       4.800861       3.772102\n",
      "   11         H       5.214175       4.041293       4.380445\n",
      "   12         H       4.383767       5.245130       3.684307\n",
      "   13         O       1.034516       4.034356       2.389184\n",
      "   14         H       1.005255       3.051258       2.330390\n",
      "   15         H       1.004678       4.455916       1.493157\n",
      "   16         O       2.156119       1.932456       5.208388\n",
      "   17         H       3.010426       2.406555       5.200221\n",
      "   18         H       1.402644       2.558795       5.219589\n",
      "   19         O       3.167999       1.424409       3.213681\n",
      "   20         H       3.113430       2.382494       3.009841\n",
      "   21         H       2.292531       1.002844       3.257538\n",
      "   22         O       3.426364       1.834696       0.931317\n",
      "   23         H       4.199182       1.265247       1.030788\n",
      "   24         H       2.574838       1.364504       1.105992\n",
      "  Bonds: \n",
      "   (1)--0.9--(2)\n",
      "   (1)--0.9--(3)\n",
      "   (4)--0.9--(5)\n",
      "   (4)--0.9--(6)\n",
      "   (7)--0.9--(8)\n",
      "   (7)--0.8--(9)\n",
      "   (10)--0.9--(11)\n",
      "   (10)--0.9--(12)\n",
      "   (13)--0.9--(14)\n",
      "   (13)--0.8--(15)\n",
      "   (16)--0.9--(17)\n",
      "   (16)--0.9--(18)\n",
      "   (19)--0.9--(20)\n",
      "   (19)--0.9--(21)\n",
      "   (22)--0.9--(23)\n",
      "   (22)--0.8--(24)\n",
      "  Lattice:\n",
      "        6.2086047072     0.0000000000     0.0000000000\n",
      "        0.0000000000     6.2086047072     0.0000000000\n",
      "        0.0000000000     0.0000000000     6.2086047072\n",
      "\n",
      "Frame 3\n",
      "  Atoms: \n",
      "    1         O       2.126355       4.903385       4.648221\n",
      "    2         H       2.434182       4.163927       4.082467\n",
      "    3         H       2.841382       5.198876       5.233061\n",
      "    4         O       5.213510       1.934623       3.761604\n",
      "    5         H       5.207178       2.059412       2.792645\n",
      "    6         H       5.181172       0.991326       3.971936\n",
      "    7         O       3.666877       5.082523       1.371540\n",
      "    8         H       3.096007       4.623070       2.012282\n",
      "    9         H       4.514958       4.607868       1.160104\n",
      "   10         O       5.246889       4.801396       3.775353\n",
      "   11         H       5.215632       4.045961       4.375027\n",
      "   12         H       4.397280       5.249337       3.687194\n",
      "   13         O       1.033449       4.034391       2.388798\n",
      "   14         H       1.004556       3.049630       2.328682\n",
      "   15         H       1.010861       4.454317       1.486218\n",
      "   16         O       2.154880       1.936552       5.206617\n",
      "   17         H       3.004111       2.408971       5.193260\n",
      "   18         H       1.412344       2.568961       5.218460\n",
      "   19         O       3.169389       1.421381       3.211874\n",
      "   20         H       3.111264       2.377180       3.005825\n",
      "   21         H       2.308796       0.996249       3.269361\n",
      "   22         O       3.425130       1.832570       0.930917\n",
      "   23         H       4.190634       1.280068       1.023728\n",
      "   24         H       2.569033       1.364668       1.105778\n",
      "  Bonds: \n",
      "   (1)--0.9--(2)\n",
      "   (1)--0.9--(3)\n",
      "   (4)--0.9--(5)\n",
      "   (4)--0.9--(6)\n",
      "   (7)--0.9--(8)\n",
      "   (7)--0.8--(9)\n",
      "   (10)--0.9--(11)\n",
      "   (10)--0.9--(12)\n",
      "   (13)--0.9--(14)\n",
      "   (13)--0.8--(15)\n",
      "   (16)--0.9--(17)\n",
      "   (16)--0.9--(18)\n",
      "   (19)--0.9--(20)\n",
      "   (19)--0.9--(21)\n",
      "   (22)--0.9--(23)\n",
      "   (22)--0.8--(24)\n",
      "  Lattice:\n",
      "        6.2086047072     0.0000000000     0.0000000000\n",
      "        0.0000000000     6.2086047072     0.0000000000\n",
      "        0.0000000000     0.0000000000     6.2086047072\n",
      "\n",
      "Frame 4\n",
      "  Atoms: \n",
      "    1         O       2.128489       4.904070       4.647877\n",
      "    2         H       2.442276       4.163543       4.093664\n",
      "    3         H       2.839486       5.193111       5.226167\n",
      "    4         O       5.208448       1.934543       3.764265\n",
      "    5         H       5.207556       2.046200       2.798604\n",
      "    6         H       5.191629       0.997586       3.963044\n",
      "    7         O       3.669090       5.080926       1.371662\n",
      "    8         H       3.092826       4.633736       2.006987\n",
      "    9         H       4.523933       4.614796       1.165945\n",
      "   10         O       5.247451       4.802056       3.778698\n",
      "   11         H       5.216063       4.051168       4.368095\n",
      "   12         H       4.411051       5.252078       3.690706\n",
      "   13         O       1.032509       4.034321       2.388162\n",
      "   14         H       1.003736       3.051442       2.325991\n",
      "   15         H       1.017159       4.449801       1.482345\n",
      "   16         O       2.153298       1.940714       5.204878\n",
      "   17         H       2.996124       2.410707       5.187085\n",
      "   18         H       1.424375       2.579148       5.216860\n",
      "   19         O       3.170298       1.418182       3.209815\n",
      "   20         H       3.107131       2.369322       3.001335\n",
      "   21         H       2.325154       0.990907       3.282584\n",
      "   22         O       3.423932       1.830684       0.930487\n",
      "   23         H       4.180293       1.292644       1.017027\n",
      "   24         H       2.567640       1.364645       1.104987\n",
      "  Bonds: \n",
      "   (1)--0.9--(2)\n",
      "   (1)--0.9--(3)\n",
      "   (4)--0.9--(5)\n",
      "   (4)--0.9--(6)\n",
      "   (7)--0.9--(8)\n",
      "   (7)--0.8--(9)\n",
      "   (10)--0.9--(11)\n",
      "   (10)--0.9--(12)\n",
      "   (13)--0.9--(14)\n",
      "   (13)--0.8--(15)\n",
      "   (16)--0.9--(17)\n",
      "   (16)--0.9--(18)\n",
      "   (19)--0.9--(20)\n",
      "   (19)--0.9--(21)\n",
      "   (22)--0.9--(23)\n",
      "   (22)--0.8--(24)\n",
      "  Lattice:\n",
      "        6.2086047072     0.0000000000     0.0000000000\n",
      "        0.0000000000     6.2086047072     0.0000000000\n",
      "        0.0000000000     0.0000000000     6.2086047072\n",
      "\n",
      "Frame 5\n",
      "  Atoms: \n",
      "    1         O       2.130714       4.904707       4.647557\n",
      "    2         H       2.449662       4.165029       4.106218\n",
      "    3         H       2.837306       5.186502       5.218759\n",
      "    4         O       5.204068       1.934654       3.767128\n",
      "    5         H       5.207884       2.031971       2.806326\n",
      "    6         H       5.202441       1.003916       3.952924\n",
      "    7         O       3.671408       5.079331       1.371650\n",
      "    8         H       3.091305       4.643887       2.000639\n",
      "    9         H       4.529038       4.622136       1.174336\n",
      "   10         O       5.248008       4.802860       3.782105\n",
      "   11         H       5.215405       4.056207       4.360248\n",
      "   12         H       4.424175       5.253782       3.694771\n",
      "   13         O       1.031695       4.034153       2.387264\n",
      "   14         H       1.002810       3.056566       2.322359\n",
      "   15         H       1.023549       4.442398       1.481631\n",
      "   16         O       2.151368       1.944915       5.203171\n",
      "   17         H       2.987134       2.411986       5.181636\n",
      "   18         H       1.438180       2.589629       5.214804\n",
      "   19         O       3.170785       1.414816       3.207498\n",
      "   20         H       3.100970       2.359309       2.996319\n",
      "   21         H       2.340614       0.986348       3.297339\n",
      "   22         O       3.422700       1.829103       0.930015\n",
      "   23         H       4.169366       1.302046       1.010826\n",
      "   24         H       2.570543       1.364327       1.103637\n",
      "  Bonds: \n",
      "   (1)--0.9--(2)\n",
      "   (1)--0.9--(3)\n",
      "   (4)--0.9--(5)\n",
      "   (4)--0.9--(6)\n",
      "   (7)--0.9--(8)\n",
      "   (7)--0.8--(9)\n",
      "   (10)--0.9--(11)\n",
      "   (10)--0.9--(12)\n",
      "   (13)--0.9--(14)\n",
      "   (13)--0.8--(15)\n",
      "   (16)--0.9--(17)\n",
      "   (16)--0.9--(18)\n",
      "   (19)--0.9--(20)\n",
      "   (19)--0.9--(21)\n",
      "   (22)--0.9--(23)\n",
      "   (22)--0.8--(24)\n",
      "  Lattice:\n",
      "        6.2086047072     0.0000000000     0.0000000000\n",
      "        0.0000000000     6.2086047072     0.0000000000\n",
      "        0.0000000000     0.0000000000     6.2086047072\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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s2rXrP8Lvfz/72VTINDGTbRaRmPtcchZy1j717ogEJslIHQJTWaPtxn0FXBRZalHUjgZzGkebJrFrAMkNwuY1MZgz5xWIT/u6k1yb1sD+azMClrDaDFXvyRiqgVOLir48BrIa4vuxAah4kFU0G1LJxfCczeJCKrAMdIFIRIRVjFGeX1fnZ9XXu4sd5/7rxo//UNqAAacPzs6OID6p0Sfi1dXumJEjvVVvvunQy2akKpGTipBNS+ohKpkhMCEmwiJEtVteXu6uX736j6iarnvffYpK4EBMYWL3WyTFH6mgCgur/e1K2MlGKbIs9fClslZVVTmVlZVGZcXo3mJZIjTUVXdNefl+lyFGy+bPT4XDNRbyiNcng4sK7YG5Scup81yWjtQ9WYRdHQYBS1iHAaeXHjI2qyHDhp1B8/xGHlIVYQCiGbS+DMgpE6LKwp5D/GfkEI6ItCRlQTaQleMdOOAtQc37VSIRlKSnn+XS+xfU1cXj0WgkBpHsw8g+ID09GDJ4sA8JyTaE4OK5kmBETiIHuTjIZiQSgzxiEEfKsjfeePXb3/nOU98C1JuKi88c6bqzhhBdE2Y4YYDr7skIgg2c8MpOz3vaLS3dKuwPqqTteBBIeTtEPrt373aR6owqKgKV9716MrWteoVJJIvkF1RDbO8++eRvjLv//m9MmT37dR0PNA5y9uwWiVMfBZEUJUkSS2AnPJjmsZUkXRFXR6TFg2XZjaYIWMJqikev/zeHtkKDcXN8/1v5MAl0FKTwP0ojTYGY0iCsFBmgMzMdWnEDaUnKgnAYT2MkrloM6PlIXG59fQLpw4t5XrSW4xjYg2ocLfcRdC4tNVVGImfr1q0ipTjHPElS9Ma5kIPcBmQISkBiKZs2bqxdWVNzyQeGDZs50XG+MtxxzhtDfQpYkPzMQghSo5nu9f2KpUVFj70ei902e9eu8naQliEGSOk1VMEENjUvtKtJXRVZiZxQb41UGKqvksBKt2zxRo4aFQwbPPjygpqaS9c8/PD/vvz6699zZ8/epBdi4YwZ0Vm4c7ApicvjR0RkSOqqceOyT6yqmlAYjXrZHIz7fuXzmZkb3bVrjRSZJK4WSY/sNrUTAUtY7QSsh2ePQFaJQSUlpyG5zEhBrUF20hg+I1UQy9jYmYwqKOlKpKVFPlQQEvGQaYqBk8+xOFJWVW1tpJobPlBfH+yPRPw9iYTEl+h2xKjKqqrfIUktQrL69vbt24eq4bN2IKyA/QhmUcWq9yr27l29trz8ypO3b//Y+JSUOydQ/mCYblAQJHK4HoubSf2oQcC13VzXzeWS/5Xvuhf+q6jov84uL//rQmo468h+WyIsr7S0dD1uDc9j5J+JyhqHrIz3vXowkbxkTzsobUkqVO+mIbKMDNfZvTuhwdsFicTncvft+/jK66//9h9Wr35g1jPPVEJQzteoB/jGtf3ZoqLzh3veJ4bU1MwoiESG5nFfIKmUmFhTs/nq4uKn9zjOQ3RevKadEBd3aQhPf23qIAKWsDoIXA89TW3J8RKJd6RATh6ERUORRIBByG1YREqSqERSWpC4zCLCQgIJaNSjUZsG0uu3DBJKoAKWQSS7Y7HIrgMHNlXW1qItJh6myE1SAfFheob/n4fCLqbxj8OeBVdFaxHu1sXr6/+0YdOmb5w3dOhXR6em3jKMjJJCcj0vAlFF87j+QBYRaUNzpqb4hiGyJYocpyjd9598YdiwD5y1desCjoS+ZJTQatL9J7j2rVzqRQZfK968nO2N8R0J0MHpFY7ONMQtO9X+qio/A+nojRdf9EZkZEQGUUD0wIE4fg45BUOG3JG/Z8+155111vdOTUm5b96iRfH3FBaOHh6N/u9Yx3n3WDBV/hyISD2uyKsOCnKEj8VovhLXbvf9T+Au8sPf+f7nMeLVzOFZzLMqIih1PFnC6jh2PfFM2rURqU7VhrxEsTs59Y0W6SnEe9GYGZoZubQOF/7rPKlLH6An8Mny8mATBJYeBJvWHzgwh0NPsFRIYqOxwzKOCymUs/4CPlC34Hw5DhLLQY3cjgvDVvbHJxUXf6E4ErklN5Gop0GnIE25WZDmQGxnA2Ssl3oa2tFUn1jMxRgWRRxK5CGhjfX9ny4sKVnplJYu56gHI1HhVpPUtghq6kt41t+AhPfA+vXrJVnFIVMXdVCTiDi4PgS6R4gssnr1ak8q8GkTJybG5eZ6Y7OyXAgpmotUGaGncfCAASNZ7t6+bt1HflhQ8NgbkcgNx7luYSEnDwQEiNfLp8c1l/JSuS/qJ0kxQGL1h1IXlk9l+f744qKiS64tLz8w10parT68thywhNUWlHpPnobGHAQl9bSZWhqHCIq1U8v/AxBTNZLUASSpAUhO9PdDAUhc7DOLjO7sD1gmQCIP5eYm1jAF2ZDU1D+fu3XrLyAMqMqRb5OIQYsSuxzjA8X6Te1Q0s5BxcUTsx3n6zmIO9jSUjRVDhKIk45UlUn5XqiSSj2VtCfCwi2CrkZdKcI6PiQez9oZj99HebN0fVP44X8MaRHW5kFIC222/ruoiXlSBeWOEfZgwjcOauxmpoL78d49e65avWrVhFNGjnSmDhkSH4ukNZbp2kogtAHY7ZCW/CHp6SdXHDhw8igQGOD7CSSqSDb3kkO985BSU0NJFRWX+zA9ruZe6upio6PR894ejz/xs5Ej3331pk0x7sPatA7/DFs9agmrVWh67wEoyBFR0ezNUgMRVLNU0UgxmDuZkEIq6pwkAkNUIgtJWSIw9mN8MnadMewfiuTwT8M3TgQ9UEVLaGucaH+GvEQmZplGvsXky3Ccz6P+ZaTQU8kVXBq+8ftCgHGikqpEVDL8i7j0X4nrG1oUidI3Sf0SRZ438+ni4ndgD3pmPlLL7LfIsuGcQ39D0voppPUMBHsVKus7WdQPIelqK9LXM9u2bfspp1awfG/Z2rXXbCwt/fzyIUOKpmGYP4EhPePIiF+aO6GuLvKL2lp/HSrkWVwfmTAih1v1ukpKTNV9qNdV0mKIpYgX6ZQPQgrr+nGQVkVd3VcB6DYAk3SqOtrUTgQsYbUTsB6eXYRC955bWu+60ytpqVXs2M+SBWFlQEppSFepNCZG+Tr5/E8XSdHwDko3/I+z7CPfbkijgnx76O1TuRMOL+GIuLTIhyuB+jWAbsR3RTVpagPRmYOBSJJF7hKGpNTIw8YuCUvHubYhLpEXBEOPp4Na9VHKfmbw4etAloMpJK0t7PlWcjl4UBtSbc8999zookWLKtn+Lp0Mv168efPN63fsuGZZdnbuKRDpydzLcux3v2Zg9EScbtVgUjhPPa5Y6xx6Sxvqj5+auQ/9130IV92jthOJFO4nMcTzbvpjScmD9AxsncOdzTu8etukrvZPAwJ6wW3qOwjADSa9SjMxokNFuKbh4DLg7IEMdkJY2yGDMlSvXRjWq7HhyI5zgP+VuDbspLHtElmh2uzk/F1B8Aor5zn9HDmZd4qeyClIMyWqB8zhGcZr2KabraEDwEhSbBuSElGJOMNFjV37KES2OHKd/plx49Le3mCaO3ItGnLosqqPeEbrMHlEnpBq60JWpni2o1yjnOX/7a2tnfrCzp0//015eWLBjh2RB2trA74CGsLUIEKyrR5Vj7pGpAqGpCtpUcSFH5pZ67/IODXVFfEWe14WfnE3CJOZTesT1suuj4BA44d4hKz2cC9AwNiwkBb+FGBnqaJRiHD2hAukJSLCJuRsh5TKUVlKIaktLKUQ1VaWcvZv5/gOHEc511ubSNSuc92/Je/dlH8EHGjzNGzfn4wjlgz/CZSjg4Z/ZCZjT6uFPI06KmlK9rRw0X+pgzou6YSb0TlsFY6qrc1SY9deVm1NqjOFNjHW+0miUnFKWtM96ci1XcS1iXnDrt5dVzf9mVjsz+uQmnBsDVTQwYV78yEtIzGKZEWwIi9JWFrCzgTt0zEM85QdIHW+ew57Zhoep0Cb2oWAvjw29R0E1J48esmW0Cv1PI1p5s4gMJ7uetA0QtPg4hBCHYRQwyIfKEkONDmRjOlB1DFsXon9uB5sSCQe/9HWraXzyTK7HY2Ma0Ul3mDFcVBPnWrKREV16Fkz15XKKVtaSoPa16AGki9pqG5YJ+tpyuDa9UgpFNedSeUb4mKdQm1eH15S8nXI9OIEVnpYz4Vam/S86j9uDA0Eyz0aomWfIVutdU8Niwdxu0gIwwjBmolj6T7O0hGb2oGAJax2gNVLspo2gMpyK/V9EUuKU0bzoaGYGReIyOCoB/EATUVGeIbsvEVY7JfLAxKNXwPxrff9qnUpKV9Ww5rbIIU0gUAq1dy5cyMzZ848uP9nP/tZdNSoUf6PH344ruZIeFFnJ8RDL5uTw3YN27shq3TIKhXJJJ882LkapBC2jaQlEkPSkw/Yfo7t57x9EGZtenqEukgrYNWtSeUbHzZcIqalISFBNj618iTtiUAP6F6oWxX3k8n9MCqgwW4VVkv/tSQlRnB1wTRAHR4wqL6+hGwrWPSsuvtewhr1ibUlrD7xGJvchASb0BfpRqIx3E/DSmyhcdB89JU3Da6KBjeAbXysDhKWWg4nB2qY21F31vn+jU9v3rxhNuUtaCZdKbIn2pquFZ83bx6rg0nql+K4L9+7b1+Av1XkpNGjnfOw7UzCTkaIB+ffENEOyud8B8nFyeF/uuxBOhECIMyCUw9p7aexV6CaVlL33ZjS5q1evUtXCmR/YqgMrb27G7tPnXzdZBULhGMW9bhKYtxPXSuoewZ11aByI1WJpELiVS8hxCvSMi4lIjmOqiybOoaAJayO4dbTz1Ibi+CL9ADDVIZCWl+RZFCKekhjcfMhpFzWWezDJOyksogs1Pr3EqFgD2amPb7/hZfLyn4+A9kHsjIkxGGTJFmJrM4777z8Cy+88N2EGj5NQ1rkQY6NnGGDNY9z7I2Zp56668PTpw8+Ozs7KGKcYRbe83rhxpeVOYtp6HjiO3U0+iq25UyqejCKmvYdd2pZaliQrrxNXBBfrpLtQ4Y88kJq6h1YypeqIhqczHg/3Wt3JEOGqNVrubx6Wj0W0+MqolevKzFsTI+rxmkq80D+e7JXKbEtstLIgRrujw4P9di6ex2ncl1GxpaGTN1OuMnL9J1VEt2+c0P2Tg4iYEiLiApfxRdpGQTzbYzEI3ar8bFk0t4hrCCdhqiXQHYm1Lf4ON+PDo/F7nxy164H58BlSDQSysJkpqSnLP/jH//4p5iPcC4TPBSiAppBxYrSIA9y4mR946knn1yB39SgExkKk11R4WZCVlI3KxgeU0cwv/0Y+pWkIoqw0kVYHDd2NqSXevZLKlFdt0CQlwwcmDYkO/sDs9LTL1k1YcIDf9627U7Iao/Ik/hVXuOpvObMmeNRN+PZrmvMnDlTfMLopCOHi1H+ZNI5kgLf5Bo11DYTsgmy2ZVJnRg2ZNwbItRdGWP8r0G6yuL+MbMb4k1AWniumvvD/81HvvTocV09/M03q+ewjYSILtyuDgSy9+9kCatvP/9Q0votg5KfQgL6OGrLpSgpJ9UxyLiCxiIph/59pwiCeI/nue+nV6syGj3jYY7NlbrXCB/UQA/1L3HxxRc/MGHChOvHjx/vFBYWmgke5EGOdGVy44M18IILLzy9jCB/OZBTBmpgLQ13D6S1FQnkZchxBw2ciBBGPc3ivxwxTUOnLpJojKc+662UKO/4cXIVGDw4kUMM9pyBA7+QP2bM7Hece+7XIJRfkgUuDCJz584NVqxY4aqOjap9cFN5+NNW4hKZqAOjdFhR0YsMUHw7ZJNAuoqmcUCYMWbTkJXsguqoCCXFFP6LeEVYhnjJx8cgqADfbY7zp69TBwhLbU/XsKkdCFjCagdYvTSrIS2GplSy3MM93DOC+O6E5lRc9pLamppHTotGU96JOjc1K8uLQTy06Fnfy80d5i5dWipJANLyZbNSCGIkqmsZ8Hw9KmCMMDJRBhNHNeQlJKskRgHroKCkxNtFo40hVe1ChVxfXx95GtJahS2rGIKqp5FLvQp7Kg8SFvsg1UA2o800/KkE5FtGmJsSCCeH0DVeQUGiIC9vREFGxs/Kv/vdT6yprZ0HcT1LdpM++tGPDjuDNHTo0EGKhkrdSpkZ5wXyVCoD3MFmm6QtMTCer+6PcLQ9D9JxIBxDrIaaRUqQkchVQ56I64VPRJJ82afhPzHW2BClDnrYBKvXeZ4I1hGmWtvUPgQsYbUPrzbnDtWS8AQafFu/7OEpXbkWabksRsLYTJwptrX8G53ntZ2RyGnbMzISZUQWzczNjRcMGJBRVF19EccfnsnUXvMWLXIgKx8JbSjL/yBN+QyviRK6xZXdSmpgs4SAEbjGE5wonyuJTrq+rCzy+9deC17dvNkv5AQx2n4WQ1g0aiO18J9KaqBiAgkwWsr/FZAbep+LChmfUFkZGZ+T45YUFESzMjMDZ+hQf2he3jm5vv/Muj/84RcLXn75gR21tZ+CVC9H+stBFTbjByEnh9mpt15yySU///73v/91/te1kbQwRDketsDfUtZ/0fP6zl1Eb+Vuxa2GcdRbyHhFh1mInEn4X1Fv5w1sV+qBFeCmRxZJFekqZXUi8d1flZWVXtFCJ4bKs+nICFjCOjJG7cohSYRJOUVOh3xBaSSGMNr4dW/XdduQWRyhBqiktqS46rF5rvt71LPTdsMh1Xhl12Rnu4OYSCKzuvr9kO6PBhYXuzNotIvwCEeiuhyCYsyvcT43704zycoUbi5Aw+V+nTxsWDio1t3/pz+9uqas7GwGCUe2InFUQkp5ZBxIXWT8h7AEjkCL1OH/tZNAfhWu+6GlVVWpa6PR/1m1d+/401Enp6anJyZkZkZQEd2hGPqZx8tPJwrDmCFDPkrol4++sHy5g7rq0NmQQMIKNGMOyUUKRLMr+vKXvvSl088///xL2Md4cFS3tklayvcJnHFfYmPYtiCIAWRKjHvczUiBd3CPinU/EOm0COLaRyyxp0pFt8ZnK4Y/W8pa33/60fLyeUmyOuTdMJntzxERsIR1RIjaniFUm3i5nVtuuWXUpEmTsBMb247/l7/8ZQX7peU4kr6wsxzLl1bkFZsnIcH3/1AZj3+jHGN7BRJC9YABHqTlZGVnn1E+b176dOzi1157bcpzzz0XocGfQiMnmEPMSBWKha6ltcT9alxjpGjEiBUvvPba28aMGHEevYK3wObn70eCquZE2XskXWl8nhISSTWq4uNbPW9uXWnpWu0lusTC16urb9wQi92yMhbLPp16nwB5EVHCG01985gkNSUnJ8GQGG9gVpaPmorWWGCm9zKF8oN6RoefF0NSOo/6P46R/l18WHRYWBwu6TkZWxb3fwn1+R065mgINSHXBjz2vSA316VgJ4Y0SahVx921yyndujWBXcurQd0ui8ef/bvjXMYHIlQFj3TNw9WnXx+zhNVFj592TNt0Ex/5yEfeceKJJ36RnrNzsPWkY+w2EzKcfPLJm2666abfIanccf311+8lP2aRQ6WwLqpOW4pRQ5Qh502Mx0sYkjN9r+clqgitAmEFA+jyu/Shh26fPWnS/71jxoylDz/8cILGPgJHSs1HqEXhWTR1l6NZlRWGuIXkKV/tgQPDP/3pT+ehjsnO9CzlnMl6Fpby45BUJkBccXTIVRDZK/SmPVW7bdsmlZWURrS5Dy/8bxI8cME/SkvnrN2//6rpXPs0DEjEpvImEgqmKCsr8trrrzt5ubkRJEETpE8nhgmykpqaCuaxkSNHnv/FL37xarZ/vJBZqGfNmhVKnmH25mthFaHH9T+Q1kwvCB7g4b2bcNFmeE5Cdr+hQ52gqMjEyk/BzrZxyZLIlqqqBAT9PyuzsuY6hEyeB96UY8mqObrt+G8Jqx1gtZZVkpXI6tJLL/0u3ek3Y0NxaJSYWIby8c1liFmKTh3J8nlmbnn3Kaec8i7yb+gBpCUVNYGq88udNTXTdyOF7EPKqkctjA0YECAZfa74+OM/R8zzFWnp6XcMGzZss+4HkgoUX4qJHsyEE7Jj6X5TObdxwqivfC5hXXbQe7c/KYH62IReJJ+WFlOSqAL8v2R7UxKxyg1gDXrmh8sqKn725JIlX1u1a9c5p9ELCXE5LnYy9dYNLSw0HQAtqapgrrKMIR0+vp7tn8ycOVNk1Jakuoi0NrN+D7NKvxNfq49DshckBg7MMYQ1fLjrg1sahFmbm/vD1ysrH3S2bXs9yVKWrNqC8hHymM6OI+Sxhw+DQKgGnnbaaV/G0HszTpRxGkMCqSOAnFzISi9q+LLGcAOYiBf4s08//fQIFSv18DDFd/chhX4JmI+vXFEaSvfv9/bS6DEQOzEmkxg2aVKisKAgGFZScjwq1q+++93vXkGDpQ1uizLTjJk8Vf+JOups2LBBs88YqUuSl7Y55pM3YL1CNjCw0v1IwhBR6mOptbARBvqvxUsSVWMi0TmajdpjUajkZ2KJxMzVmzd/+rFnn93yyBNP+MtWrpTKZ1RVqazqoWsp8ZGI6ENBn8Gkn/70pyMhMb8dz0Ckpbq6xIv/G/d1Jec/CmG5kWHDEtExYxwP+1nKmDHuPV/84r3erl2vz7niilTqHD7/lqpk97UDASthtQOsFrKaSJuofScgedwOScWZLUYe3yYUrxoQ0otZeGP10mKqceshstGoi99m+0o1IOxZLRTd7bvU8BIQ6JQzzzzzx0hAwbbKSrca21BWSYkz6W1vc4YUFqpxy+BsWv+NN96ID2iF8+CDDzqh5Mgx45ku1U8kJSO39qnnTMTFzDUuYYp/o7tZvny5MFAKJaeGfw0k1jLDhDka1iaPSIu/XMZ9KJqSkti9d+/D2NI0c09U9dDEEqiuZnacpqebkxiuGAvwpqeqGUM5vlFOps3zHea/qcO0adMyFy9eXLOzoqKa3ginAj8xXBacQqTMOtTDPz7+eIoPdu+55ZZg3oIFVNmmrkDAElYnUCSmknrPfAzrn6EBa8IDdfE3rHl5lRQ3SUujJL3Jx9Zy+V9++cvjaXQr9MVn3ZYG26iYzm0iVTgQpTtkyJD75OiJXS0B8UamoM4eN3GiKTxJVtrGbGMcOoMvfOELLgZ4Z8mSJUZFkh+SyAG1z6iHsmVxL/JPikEgKcuWLXv53nvv/WOyo+FItqK23pSujb0+kGGd0Otxo6KqDiJUqarq7JCK2lxNleSlfFJpIdgOEUlSqq5573vfOwU1+Wyk62AgPmce6vIB1OO03Nzgg9dcc8/Miy/+2vTp0/+peoJJc5Ju673afI0QsITVCIz2bv7jH/9QA1So8llq0DRSL4ZkoUaRwVdXDLRrzRpn95IlJoyK0XfoRcqfNs3PHj06JXrGGWeRZcXyuXN1qJ7laCVJddiKs0+jwc+EZBm146HVDHPyMaAr6X5EPGHSNvtcEdLll1/u4B4QefPNNwOkqAQE4CFdujhpmvkIKSvQfISacgtV8UrKiLE0Ye2w3E6sBW8C1W6lOgKYYsyDeA1RcU/GbqjnoH2ysan+GqNIXQOmANOs1fuRKjfp+hBQmz8WSeJNvP3tb7/6uOOOu//000/PArdgWHGxV8C1kiYAEeEsJOnnV61adQPXftCSlpDufLKE1XEM1esU0OizIKoCTXnF7MFunEayly/4n++919n1pz85kRUrHOa4c3IhAPkbqfu+GptHJl/l9IKCS9j10ylf/3o9HeztijfV8WqbMw0T0bjOlVRIw/ZRkxp69LgPbqsJWYXXEhGx7eJEvh3XgX8hpVwuNSw5H6FUMNnsjDrIlFr/hNA+hkq4kXO6w41DJKMZp1+hvqVcpxhjvg9ZEQg0Yu5Bz0SSlLzdtU+2LeqbQGWMQKQvotpuEwFBKG0iLElWIvqJEyfOxOj+U42hpEfSRzL18vFd070nk/BNCA/slQ/85z//oUPR/Tn1tJJWiFAH15awOghceJpUD/PlRhWpwSdp7bJlzpK773ZycGAcjzRSwteeL60mDHU0Zi5NJxIjPPb880F+JPKedcXFL6/BKfFCgu4dZdJSb9oE2Zqk0tGQzaK5+7RPU823lNToaXxRJJQr6QU9h/8fhbBOYsDzCEhhO8dWsO9xjO2/4vwgKZG0iRBaut5h9ok8oxi+a5BwvoMN615sZfVIXIyhbvA+lw1N0pQkLhEW5BZwbwF1d5ne606VrbGHh7lGk0NJh2BcvnIeVA8w0mYC6S1KJ8shqicnys7mc128HYruf/TRR5/l/9ZuxKNJXfvqH0tYnXyyNAJ8B/39SFW5GzBcD1yyxJ0McY1DPSik4eRRfh5klUuD0eSmtHbELKaL10zDsZg/IJGYxgQL/1o0bNglM7Zu/TutUN333dHAD7lTCCshI7XsPo3sOsYWJTcFNfLGiXs1eSGB6HXXXZcDUf2d41o0oWoevYWVbJq6Q1yScrpDstLlwiS7kCcpZs2aNRdDtucj1cWQrCQtetyTKzKBsDRTjgTJgHtNgazuZqjRc0nyaKttiWGCbhwV81Ikp0kQI+OhvShLY8kqrFe4lhoch9wG0Ht8Feffhd+XpLSj8nzDSvSltSWsjj/Ng194XsinaByfPLBzpz+ZBsSgXCeTxm0mDKXXLQfjb4p8lKQyiAQgMshK8ZI8lnghc+/RTf/4k4WFJzLf+6ajRVo04ldo2J+CeFzcFgxRSRqhMZpBvZIMQ4dQSV2y/0jFQqrZBTkZvyr1Asplgf97BWXSIC2yUqPs7oapZ+Bw/QRSzGUQwm8grUsgJGN4p/4B0pDugW+AE1HvIfW9+8UXX/x8Ur1rc/3oYNF1ROIXQlKBpDVJm5KutRwm6doizLezvmtm2/2+DlNk/z1kCatzz940mLpo9D5mKf5YseumSO1TrCTFd1IUTTNvHSRgZk+RNzhkYBIEgC6mSUOj6GLxEobVEQ3g+7zd76JQveTdmUxDpYH/jUZXBwGlYIeRwZzZt6Km00Bqonrb5DUuKUKEhYrlQ1pRyOnPTz31VB0SShRJJWytps6K6NCdFW+hbD0DZoIv17CnS1EPP4x6eD1hYaZATgNlV4IsCAMWvAxh3c2+Z9spWZlLihST156MBOfK0C+MJKFKjabT4RCJNJlfhEYE5fqG3gzIK9xv1+1HwBJW+zE75AyUjZGDsOtkIlXQ1x5RiBF0BTNvnelWF1HR8M0iSUtJhCXykrSVnDB0mOddiGr4dhfVsJvtWSIshVEuRfVbABF9uLH9R+MDZf+RfU4SlgiLRudL1UL1iuNP9RDni6AaSyjHsiEa0qI+Dvf0f6z+DxW1iPtQCB0f4l3Pvj06niSrxvXW7rYk3S9udX69CAriNuqxJE7sd0Y6lZTKR6BJWZK+lEf5beo8ApawOoehaaSYpz+bwZg2vCzj5nXVS0sjxyGrIWSuSEqkRfe6mf5JxyEFRJkG4qI3CwILchADCLt7A1X6u/EJ71zdjnS26u4hVX2Bhn02PkmjaYwxpIYIZOXSyIz9B8KSOsN8EDGPhult3Ljx00hRKzvR8I9Ur44eDwnTGLuRAsspSItJyfq66uUL97VzLXuU3D9eQ1I7BywCSVVJG5lRo6UiIqketGmJ+LGZBWApb39DmJShVySsazurYLNbwur4O6AXz88uKRlE3/ppmiIL+ono060WYRaIiTe8wW4l25UWSVXaJ7KSTUuL9sEK9bGYS4633c+sye7OnVW81aK27nq5VVWP7v3tSCPnYZP5Pcb0qeotlMQg+48kLKmJEFmURidJ5QbsPw9jz4nS8ENVkGJ6VAoJSc9HJKPkd4Gh2zwHVOYnIaKb8DFzZR9TbyqPztj8pB5qBIDsgEoiLEljfAzcTZs2Pap9c+fONcSnbZvaj4AlrPZjFp6hFy+R6bpj8GTPZuBtgBndzFuHsme8QIkS52jJEDlpwRBvFqmB+q+1loakWW3kqJOfkZo6ll1LFjQ0uLABhvm6cm1IC2lkA71YZ0FMN0BYV/N/osYLyv6DRLGN/X+DxO5BrXk9aVTvqWTVGBsB25XYqSwNuVoIeS+FvE9Yt25dHHyYpYwwM0jJMupL4pIaLdUQiSsBnrjirdj20ksv/ZZXhN3W473xQ2rvtiWs9iLWLD8voUer1+zEmh7LxCg3a4hI89ZpqqoBqApRqYChzUpyU0MvYcMaItO4M0zwmsY9gsyV3uwy3fnXkBYSgy7/HZa7sWuNpwHmIDEkkA7WsG+fKtARY7XO60PJg3zqIfdreO4LcVTNhKzkRhFNqtHGSRWpSwOxE0hY8hNzILZrnnnmmUpicCFAdymJ9iFo23YrlrDahlOruZiMwLh/V5MjXKogHy3EdjKTbGZAVoNkz2KfMbaLsNQVrl5C2a8gL8UEN+dRThUE2OoFu+eASCtUoRI0xDcbXyYpVQVdoFY1LrY3bkvKikDu/6Y38j2o0b+CkIZK7cM1RNE5jISFZGrUaKSwanolP/Pyyy//OYlhV0p8vRG/TtfZElbHITS6HDaNijpkf8gqKjFkvxaIiU+vkwYJpdIbiJonvyQnB5JSnHOTOCbySkBYyXnrJMa4xKSq3ZqSsl15liO1NWQ+Kr+hCiXiChdd2D8GrgpH5YY7eBFDWvRG/h3b3ymQ1lcwrF8OaQ2FyIxNC7WPya4TT5Lnf5BSl1my6iDSLZxmCasFUNq4S1KJ0kYGFW6rdd3he2jc2did6At00iCoFEiLUAKGdcy8dUhSmrdOjg0y0tP15kB2TjUL0phfyW7Gtmz85+jRW4LNmyWHhdfQdY5WEnEdTaI8WvfVldcRaXnJnsgb8LS/FZWQOTIqZdfUcKD1rHZp25KVUOi6ZAmrc1hG6f2pxebzGNbpzyId+QN5kdMoE1XR8SAltfzG89Zl0kMowtIxHymL+OVOLWucRv1KDLhlQfCYPMfnUoROZbGpZyKgj4kkUW/t2rUSrl9tXM0kUQVWOm2MSue3LWF1DkMjAdGt/TBcdSPWKLcc6SSFtfnUQloJCElz02kWY3nB469l5ojCZ8sY2hXdoQZ9EZXSY2aVGmaqeFBVmndspKvOodH/zm6sRptHnoTAqtHd9C5YwuocsCKsCKP/lxcPHfqtSDT65Uo8obcyhZaKld6geemYT8ohvoimhzfdfxCacRCSXQtXCPUOxpgAInVtIjHvMTtvHYj0uhQSV6+reG+rsCWszj8xQ1pl27Z9BdXw1Ijnnb+Hrm50uSiODHJ3ML2HAyGnkLAEuj7HnOjje5Vg3rrUdYnEn54oL//2FRAg/lfiOpssAhaBZghYwmoGSAf+6utqVEMkpstYfgNpXbJPtin2Y9zw8smQw5LFYuxXqI2clIgx/nAfQ3q2JxKP/Mv3r5lDXqsKApJNFoFWELCE1Qow7dwt0mocMeBzhLG8DSfQfIzoASqiqx5DGeOZGM8ZQL83rg5RpjnfzJTmd64vL39I14OsZMRVWTZZBCwCLSDQ2FDYwmG7qx0IGNIiP8EWtt6Dp/OJ1TU1Dw8n6sEH6+sTN+J/9d60NP8iCCk3FluxIQg+9UZV1Unry8oekmSl81gsWbUDcJu1/yFgJayufeYh4aRjiC+j6H8Ozcq69h0DBwbn4gWdDWERZyT61J49f3/X1q0/ILM7G5sVkpW1WXXtc7Cl9VEErITVPQ9W/lMevlmaM905QMiRSgjLJ2xyBcv+QYM2cDz68LRpUWtg754HYEvtmwhYCav7nqsM8X4K4UeihCGJEtzNI+yIRwSE9FgMW7wTnzBggMW/+/C3JfdBBGyD6caHir9VEBVJIWF5SFiStphIz6mtqtKofZssAhaBdiJgCaudgLUnu2IlibAiBHXzkLCIPaJ5n5xYB2ccbs+1bV6LQF9EwNqwuvGp4r1wQhSpSlOYMy2NwzTETgJJi+nMG3CfObMbr26Ltgj0PQSshNWNz5SY7tEIhBWRSijCYsZnTUpQl5FR1Y2XtUVbBPosAlbC6oZHOyNZJjPnBFHUQNmvjISVn+/VESc9u7jYBMjbycSr3XB5W6RFoM8iYAmrGx5t1bRpLtOaR/B2DyJM72UkrCFDjEroM9OKN2gQ0WcCl2BJ3XB1W6RFoO8iYFXCrn+23quvvsqoHDcoHDw4ko79irmfnITWuDfE9uxxlq1bt1fHf/Dqq/pgWKfRrn8GtsQ+ioAlrK59sCIgf8iQIQNuvvnmuWPHjr1izJgxQUFxceQA7gwVHMwdMSK46lOfumnI2LG3Xjd9ekUPnN+vaxGxpVkEuhABS1hdByYaoOsTLnfMueee+/sTTzzxpNGjRztMVuAMHToUF6xMTf1kxgvy/1NMwjlrypQpF51//vnrLWl13UOwJfVtBKwNq2uerwvpaKKJjJEjR/5h/PjxJzHJZj1z1JmZVLKwYzVwlbmYSCtWVFQ08bjjjvsDtq4MJtfUudp/pGRsYwsXLoxq4Rw9v7acd6Ry7XGLQK9AwBJWFzwmZkKOaAosVMDrCeI3BWmqPpUEUbkiqxYSTvBOjPntpkBaX5Bk9txzzx3O+12EKGk4YG67xKxZs+JadJ72kXSuJS5AsKlvI2BVws4/X5dJI2Q4z4SjPqtJNNnGo8Fj3tSomca8lUuIZHzI7dq77rrr3pkzZzItoZkZuLmrgz4qmmo9DsFl3HTTTScWFBSciASH/2nm0gsvvHApxJWQBEdceVZu8/NbubzdbRHofQhYwur8MxOhJJCkRkMWJcxHpynKPRatmZk+oeneW7qKdgZMa14ygcS5i+UKobIaZTZkhV0s7bLLLvsMquansYuNYT48OhxzTNnMhbecefF+jD3se5TBBNItkl6jIu2mRaD3ImAJq/PPzqhiGRkZUyAnj2nLEzU1NREm0HT27dvnsG3IpaXLIBElpM4xp90Uji8ePHhwY7XOGPHhslHnnHPOrydPnnwmKqcM+AFqpwhSeUVwkzHs3038rQv+8pe/XM5/Apla0gIHm/ogAi1++vvgfXb7LSFFwVW1zt69e10m1HSQejShpqYwZzZ6TUXRNEEqyuMxnblbV1e3t+lR56ARf9SoUfORrM7My8uTEZ+QWoNlF9OHhpnCjPYnO5bsYRfQ4/g4UpaeaWPia1b0Uf3LHLOmM6Gn1Oeo3ry9WNcjYAmr85iaCSiwXy2HeGI7duzwdu3a5ezcudOQlaYvZ7JVEZnDcaMmHjhwIDzucSyxcePGlaoGhndTVmjEh6iupzfxVBnxsY2lDhgwwGM5WGPISdsepGCM+KiL5y9evPhjUg3Vi3gw41HekGqbVG8l6olVqWIggpVEaJNFoMMIHLOXusM17nknimQ8iGk95LIEiekUYroHkEwkhWB9NFJDVJK4RDYyxGsANKpiYv/+/d66detW3H777RvJR9s2vX6hEX8AJPjf2Lh8hakJjfgt2cM4T6jo4+Mjfd1Mj+IvMOI3toXp+NFIIk/dSHht784778y59dZbK8N9Oowbh6te1aNRIXuNvoWAJayueZ4iizgzQN+Nof3XSExyazAqW319vSN7liQs7FyOSEyGePYnUBcjq1ev/ibnxmjEehYNoZUxvKP+TYGcZMQPKNNEeRDR0eBbq7GklwBJbCJ2r3EQxCryGjtYayd08X5DmFzXwcv/Ctw13oe97URU2SGvv/76Doj6DWx6j3KcqNBOAKl6lrS6+An0g+IsYXXNQxbRRJCyHsEAfgEq38fefPPNOLYrF0nKw6blZhOlAakroOFia/d9pKvUVatWzf8t6YorrpAfl8pQMuISxCMjfoAamaC8qIz3nONInWysFjac0vArImSJIpXlas+CBQuOiu0oJJ+zzz57xPTp0x+cOnXqxRMnTjQe/nj0q775VGcSBPoBpM8/o7Zef8kll2wOz1NdbbIItAUBS1htQalteaTiIEC4n6ZhxiGYT6xdu9ZBRSRu3+BAbghIWDquXsEIdq4f/+Mf/7iJRtuieiTVT+QkVTI04qsslYP0ZpbG1ZLkpV5JLeQ/mrZJD+kw+OEPfzgcw/9CJKsxhYWFcQjahaxcyEqkaexY3Lt6OC/m3hZy72fQ+7mLY1bSavwg7fZhEbCEdVh42nXQ6GpIWQc46xoa5h9Q5W7Ytm3b6RBNrlRBVMYKjr2MiviTsrKy+SodySps0PqrZMoh/zKkKxcjfgQCcJISmiEqkRMDrB0kKePjJVURogrUQ7l+/fqal19+WfO3GiJpKLL7fiFcsXSAZPVDhiWNwYZWz5KaS3SKRpKgkfRUb/LWoyqOob4/Yfs97BNhd18Fbcl9CgFLWF37OEU2apwuhPRH1n+k564QaWuk7FgQ0CbW23XJpDqk/IagtC+ZjKSGjWsZBFcKYRXLiI90xoQ7hxrxydNgxKf8svLyAKt37SevvDIdMjA9hZBBdxq3pcoS9Tl/JoR6AQQqOx4CYKoh0/CGwjV1kg2Oya/d+PDhw9/99NNPz2T7OfUoashRmM+uLQKtIXA0VYfW6tDX9ouARBIygnsbNmzAtr793/hk/VtkJaLSsSSRNCcrDhkCi+AWUUXj/w4kpzLimzdvdnAONS4S/HfoXXQw2Dtr1qxxkKqcZcuXu1XYuS67/PJB44YMefHv999/3izGG776gx/I5aFbEu4XRnKCoGZrSJIkKMxzZmntgiItJQg4oGOBeWQV17CJw6x22WQRaBEBS1gtwtIlOyUxGGmJtchLi5skqiNJEzruMSTnAUjgadSnVIz4McjJh5wCkZWIiiXATpZYvnx5gETnzDr9dGSXuJ+Tl5d78tixf1x8113nTb/uuljQMHCaIrs2oZYGlI1JypuKWuoiFcoJ1tjeZH87THLpHHBRmacqz8xj44JxmOrZQz0VAasSdv+TkRR1JIJqXgsjeWlQNb5dlyGV/B7SugDSMkZ8Bj83MeJXV1U5p59ySrB9zRo3e+9eLyM11c8dODBj4qBBf3nhhhtugiUfCq69NsV9+OFYowu5cyDQySzLG9YB6wBrkq5trt8ob/NNd/4VV3izFyxISF7CuJ5C/Rw6E0xPprbDDgJ6Rpufa/4rL6pyaosH7U6LQCsIWMJqBZgesFuk4ZaXl9ewvggj/n8jtXwctXAiKmYUFUxGfD8Ri72ye+/eyQcqKgZEKisTNSNHRk4oLPSyIpEgKz09Zfrgwd9f+sEPepDVgwHuE3MXLAhEUuhiiSQ5HXKrC4k28ZwiRDRIiE2OQ1QREZWWs6dNG/HuWbNuzSooOOEnjzziy68Me5YhKwzvjupIvcPghaYcuV6o11PDliC13cnCxXtHIskm9bB/+icClrB69nM3pEUVfVS+u1nfy9jC8RBXjnyyUMEQVKpWsH/W04sW/bGusjIrPmVKIkZI5pNwKciGtFI8LzEpPf2BN84+e5i7YMFtjW7X+0px8fjhjpOPBDducBCshTV2X1ZWtmZWgwOrGCTCPiMd0qUZ+QDbIiqcQXM+efbZX5x03HE3nHDKKTmTzzrLyaJX8P4f/OBg76U8+mXTkmpIfuM0G/6HsAIRFmT8d9UHtwiZJqQ+22QROCwClrAOC0+POBiSlhq1xh2aKcLCmsmI//Wvf31hTW3t2X9fvPixun37RsfGj4/HCwqiU3Ny3DwGQ2M8S5yQnv7lTWPGZD9UVXV7IhL52HDX/ehgx5lY6LrRQRjC9SIQOiLxRnHxKvTGP6wLgh8g3m0WUV2B9JMkrujnp027ZuLw4V866fjjRw4bP97JI3JEeiIR+fiHPuT87g9/cFauXGligImcIFSjJmJcN9KWDO7YuAJIzMVpNliyZMljyfuwZBU+ULs+LAKWsA4LT485KNKSpANvHFxUuSBpxI9yYEl9LHbe82+++WxddfVowjfEY9nZ0ZMJQ5PPoGMPXWyA49wYcd2rJkQiecMhlFyWHMpgSaR5XgSDkpbJlDW5MJH41OLi4tumlZU9pAtdX1w8e1JBwa0nFBdPHT1ypDMoPz+RmZXFzItBZP+OHU6MiBTvnDXLuffBBx2pgzK+yzs/HEMp9VCEhXHex18sQkfBHb/85S9XJ738jRSn69hkETgcApawDodOzzsm4tLSPMXZKdLaEE8kZr60Zcsv6mtqZsTy82P1GRkpZ+C/lRWLRX5UX+8PhqyGEIdrIOyRG4m4+SwDNUM1nvUk+SUEsIo/DFt6seN8/6XCwjOeO3Ag7+SMjEvGo9oNyslJZOETxmjsSC3G9T2Q0naIby1jJTfh2V+JZz6SkzG+y1aVHJpjHF4hMB9VUC4bvyV211ckHUK4vZas5tCTK3tg+DDa0WkRnmLX7UTAElY7AevB2UVacp3YjC/Uuxbv2vUnxjK+vS4jw6+PRLyVEFLM970ReKVnMjwIknJwv3eyWTwcPQkjQdNDBMLdgBg4HiJSgJ9CcHJKysekMubT8zgQKQmbWCQmksKNYjtlbiaq6uLycmcNNrVzLrrIueOkk5xvf/vbziuvvGIkLamDyZ7CBAb4CJFRl/z85z+/EpWRq/XKcM7qXY3MRSqFqVpUZRceptOiB78/vaJqlrB6xWNqcyUlrYi0FHX0Pcuqqn4Sr6+fvSonxy/CljUF4kmDJTIgmkwIagAE5DG8B4u4gwiEvICUheMnEQcd9DlXBJZKBNUc9jMKMhLFJrVbsb7ojdziee7K2lrv30hWflGRc8lVVzlMb2Z6Bd/3vvc5Tz75pPPGG28Ye5Z6BiEq77zzzlPP4BA89nMoep/sXKzbfHPHOiO2vMgCiGoenRIszi2FhaNGpaQMGRCPB7nRqHvA9ytnt9Jpcazr3leubwmrrzzJt+7D2LqggRoI4crdWVljgtTUUwehBsJkkRQIIop0lYZklQJhIf44DPpzGEvTIGVBLnTtvUVeGNQHQmLbUf9iNMytENta/CleIs9/sFMNnzrVOfOMM1AmA+PMqnGNijl/9dVXv1Wjhq0AsnJRFw8wvrKOXRKxmufpsf9DspqYnz/w3enp14xwnCsKgmBqIVO70RvrZHD/UP0hnRZIvR532aIk1mNvtgdXzBJWD344naia0bUGDhs2rsBxjs+Q1NTQcIxEo0gQHo3MhbQMUUnCEnHpv/JyDNXQoZvPLOmQEGqi8/KuXe6/OXdpPP74Us87kDFw4JVDamv9rVu2RFI4J8r5Gkco0tLgZxnalWSAx57ls7iQ1puohLWQ6dGM1WXq0dGfkKwuGjbsYmLk3DPZdccPg6DyKDAH4sUe6KBmO9xtBARNp8XQZKcFg0ofSpIWqxbtjx2tVr88zxJW33zssqDHGd13Dsb0LKSfBK0lwiRgpqsxwZowpg3EJHKS/UpkJbVQhCWC0rb2cRxRyB+EcX6b46z+1d69n92TSPwNf7CT6uvqPqgxjgOwUylyBIKXISsN9BZhMV7QEKQIS57tkrAYB/m4IJ/bS3yvQrI6t7j4+rGO8wCRER2k1Xg2KnYemAiXbLCkE0I2wIOdFnRYmE6LlUVFU3APuXEhKM/iM8Cti7hs6iAClrA6CFxvOA0XhlPVOmglAb5VDvKSE66lk8WRElJYDEmJqMJF+8JEA0UUkogWPS0j4zV6+f42//jjU2evWLEMI/pfNWRo3dq1MYgxRbaqkJxkbDckRkOuq69XfLDoihUrNr/66qu/RbpCGzwYRjm8Uo9bh2Q1CZeOEs97oBi1GuXZRaKKqtMiB6LPgdSJT9FA+tJxmRsy7LRAQo0fF43e8HpRUf3U8vKbQfWgI26Pu9leUiFLWL3kQXWomqhdMdoQJvSDC9YpWeSdasilBkkqR2ofEtBBNVBkpf/aL7UQEquDYGo4ryqRmMAq4qxYIUlBJPZJyGcRbgqjISs6D2uikqKyCTKoQINpUg8TiSAFt3cNMWLQ9oefeeaZSkLJINYZaYNVj00eBnY/Y9iwkrwg+OFg3D1QnF06H7zGnRaRxp0WklZDVbq6Wp0WUTow4mM973P/Kir6K5LWX+eD3+yef+899qFYwuqxj6bzFZNeKKmqmkWEgxXeqWapgoT20bAyIaU0egTTpc5IupJqKMISWcnwDnH55NM5KqO6QdJKIHnIWq6YX1swsJ8HWf0eyWuqVMHpp5xiHEjPYLgONrJg6b//HfzwF78oJ1bXR1977bXn5ShK6GYRXo9OM7D5LUIIhahuK4hEstNRA1NASJ0WuHY4qWCV2rjTQnZAEZZwVC+rMIXoJXENwD0kx/fvmXP88VOvWLFCQq5NHURA77RNfRQBqXJYo4JK7m9/csGXwKmkUVUgXe2BmHZATDUQTYAfFZbxhkXb+FrFIaxKjO0VSBf7OH+f624VVEgeem8kYXnYsDagCZ3F9s0Y1TeUDBoU4A0fjCWW+5iSkuCduDOcO3nylZDVsz8gNldvICvuxRVZDSwuzk91nA+kcv/ccEQ3La3PhYwiEFaTTgu8+x3UYLOo11WdGJK+UlJkOwwKI5FJZ+zdO8vlecyXlGpThxCwElaHYOsdJ7m+/2oQiXwKGnIrqDLNyEmHsNIgrCiEZViH//VIUdmQk1SdKP8D/scgsxrICjXQ2Uf+3RzbEwQv6M6XU57WJENahIVGh3TuwWY1bt+OHdfv27gxXpuTE03PywuYnNGZnJs7WJLVhLIyxLdekUQocVwVzqX3M8/DdkXF3+q0AAt1YBiJSlKVJNPGnRZg1rjTQh8O6MylJ/FdlPvXwW/h1yvA6EmVtITVk55G19VFROK40eiTqHT7UQcH7OTLzjffRWIwpASZOQGkFYOgDoiUaITYZ8wxqTXYnpw6Ftm6ILzIRhrtZsd5IllFU36jbbQlx8OdYV21JoxlEll/G32K+G1l4L+VUVOTL8lqzhVXpC7k8jOx4dDcez55ue7pVDKQlBrjBhsvYmh1WqSyGDUazISbWbQvTCI2nGzB0/Xx29LumQ1Er02b2omAJax2AtZLsotQIsTOKiseOvQJiOuq3dhgUFAkC2iqaNoYQwZZMKg7NZCS8SNKEhbzyytyg1NPA8R+Fa/CeLzO9/9xf3n5m3M4fd6hDY7cTiISj9dUo1bWIlUR6N34bjH62XF37Rr/LULSTPnd7ypD/Mjf43vMoJp8yMoVOWGVcnAec0ynBbjUaIHwU5FCj9RpoY+Czkfu4pthUiNGS+6xqzYhYAmrTTD1ykxqFG40NfVriXj8PTS8AeUQDWqgpwP8d+rVAGl4VWxLukpjrRciJCwaWUAD9TZCWhsikc/SgE2ZZGmeJEfo2OJq7F+1O3d6McYX0r0fjfF/4Lp1n3t7JHL1f4qLV9Y7zmNL0tJ+yvQ+lZzQo73AuScjVVWzBoeGjgcw2w9mWZBVJmSlTgup0kayMp8DMjbqtJAUW01+laHFps4hYAmrc/j15LONlIVRfD2Tu16DHWV+HcbjUj70yAQRSQ1qhFU0wAGssdc4UhdDazDSgC/C2slg5w2JxKefKi1ddgWH5xlBgYzJpH0LaNefYHYgIjZ8vqq6OjjAeEMmJpRK6Hg4jGbW1UVHpKQMpmEPRqo7t7iu7nMvFxffKS9wGaApA+elnqciQkO7Ifaggnvdn1wGgFMmBEQMMCcVYsLXzcnnv8jLlT2L4xoVIKkrwVIFBhUcr2D/ngbInbl8EyhOBG9TOxGwhNVOwHpZdnjHiTBN2ALmAvw0zp3fwy8rdavUPBoNSpuXy9oQFhkhrIAmR/NygjrUwN3s2+H7N7xYXv7wDIQviEmCWeMkX6XEaYWFoxkY/fTZaWljn6qr86v37PFi6jWjsbr0QKbRsDPT0zUWx4/glzXc90eUELpmOV7gk/ECp+VyWWPA71GNGNX5ZbBw97HspYIGJ4iHEQSHdlpwj6bTQuhw33FIq4Z9IqxK9O8Kegr3uu6LOjwT3CF+irapvQhYwmovYr0vvyEtBhw/hGf6EtS9+zACT6vgPiRd7WCBWoxTZAoNkxSpR2pA7VlDI/vc5rKyP4usFrVAVrBLMIqIBUMikWeHu+5oDDQxYsyn1GC3isn7m8bq4R7hYnivYwZoJkuMSPpguhyf0DWJ4/ECX4ILBJLWZyirJ9m0hJl6Av9Bj2lFrevm7ORewamh0wJKNyKSiAn8apG2DnZacJ46NFDDzX7ZByEsbyu7t/j+kyr3QcrS2qb2I2AJq/2Y9cYzDGnh6Kkv/OmoiB9EdflgzHGmshTvF03R8GiEuxAGFrPvsR21tb9hpoh9SZWvuWTlzKEgd8aMyNTVqx8Z5nmjcZWIQ1wpURooEUWNvaYGlcjFxhPjvzNxYoPfkny+qqs9qNFjTrDYJM+78YXi4uchrfk9iLREKFHw2l1cVPRT/K4+t4f7y2CfGgyqohNASiIr2QHDTgsIucEGKMLSMdY46ybAN7La91+/55xz/hksWECuHu/lzx32zGQJq2c+l+6olUhLbS2Bivh/rP+PCUwHEF1hDHSVTgutrU5L27QXY3iji5v4T43+m80ZNNx5yE9Fq1dfyeDf04kGYRpzKsbnsUhWhFt2VuGQugWykholfS+Bm0MuzqS5qIqZ8hAXifl+JIUoqIOC4N4fTZz4pPPmm1XUQw2a1TFPUtnceHr6XSl1dR9hwHh+OeRD3SKqnBhcZFULKVWxnYzW0KTTAjuhOi38Us5ZB+k5uHbMTsLBKTZ1AAFLWB0ArRefYhoh9TdCgmaXZvuNZvejY4bYWBvVqNlxZ1GD/UXq0eeyEMmkSu4g0y4a74V4eReznceSy4Ia5aQjlwRSC1EVy3CwzBo82CnEE9yrrycMaixREokUja2qugwy+OVCyJBTDpHo2He0k7DydjBzN6r0ldTtmXrIpgxMqJzptJCrgsZlDmSN9GVsW+QzbAtwPoTl70XqfDMW++ZT27Y9l5RWW8SU02xqAwKWsNoAUh/LIgEhbDRqX+Gi/VrUULW0lkRmPsNWJiA5nSSfrnIa8BB2TmIp4v9gZKR8pKxcFqapINi8LkGC0HxsO3sJr7xVxAZpEZIm0NAXHDDfS45fzuwZ0pVqqyQcIqiGz0Ja/8VdPBgnYGsZnRbVkBk2Ps8QFffFWENHKiGRHNRxkVCnxV7ylMXjd7+4bdttlqwMnp3+0ctnU/9FICQoEZgap/4fKZl3hgZ6BoEAUyo4T2rfKJZ8FoVTzqF7Pw/VMJsBwVH1FmpsndaSqtiXzzIIY3w5TqYQgIfNzMWmNuUz48alUXhIppTWI5LqI9L6Garz26nnYmxaUXr8vJ2Q71A6EU5Hanwb93cSkuQ27uU1ji8mtv7rRHylh/XzcyCuBT3vvnoEuO2thJWw2ouYzW8QQIrIlN6WB8kVsoaOjPNpJoSFYczJwk7lavCv7FWhQ6X8kxTJALJSfuLNO2WKZqBtxxk8qLY2C8asY5FM1hby5MyjkgxpYft7iaudMWLYsCv319dfM6qm5tzLmEnoosGD3YzcXDxK9zu/3rFj5zW1td9Kz8z8ieyBkqzmWbLqsodkCavLoOw/Bc2nEV7vurFsbllSFbashgWySkW6ylBQO5FVUqoyA4FFQRCUyKqBjpgTETVqP1LKbo5BYyYiRA9GUaQl6dLf3NBpscTPzX2jhgHelUOGOBn5uI9mZ0fGMYP2gVdeuQeV0LFqYNc/TasSdj2mfbZERVy4dto0dzYSA71mgwZypyksSFuKSmoWhV1RbHcjWSnEikhLYVfk+a4lDL0iyQtyy+E8xdtCxUpUp6aKFHpyktpsiIjVniAlZT+RCl138ODAGTrU8YqLnURBgSCJJr72NasGCqwuTpawuhjQ3lYcnXyuJjTVou2W6q9j8+fPN4H3Hl68OHbz6NHnF7nu9RjRdYJ5hxRuJQgXDVGRGhgSl6StxoucSnWMfEw7lpCHeKnvP/8wKtSr06alUGZPUgebQxL8riG8c1UQjcZ8IqsGBQWOCMsZNsyJFhSo7nFn7tyefA/N76nX/LcqYa95VF1bUREQEhMcY+K1m8bFLMzYlNXJZabg8kVUkydPdglpbCSfD02d+o6zc3O/ONpxzn9m/XoGJcaIE+O6smVpUThms7RWVY4bdRCCMmv+Q3QenuHB9Gi08NdDhhROX7x4ezBnTtRhRugeTlyen5LiogZifRtM92iRGUMY2b27tbu3+7sAAUtYXQBiLysCp3YzgakhoWuvvTZn9OjRY4jBXvnEE09shX9wH4KxIC62TZ6PnX/+1OlDh35+dFrah89CpSvbscPfvXq14pubzDpBoVdM+BXsUgq9MhCP94iM7LJbiaC0YK8yA4M5xgUMbOzxKhMJ//j8/LOmDhr00r+OP/5Gd968P+ugSDUkS5O5h/34SIiSsHxJWCIs3TOhdWzqPgQsYXUftj2xZISWhglMP/OZz1x13HHHfYRhOtMKSMxyU8fMzHTa+U8zFdcDcNEb77nwwhPPnjz5i5MGDfrAtPz8aG4iEWSRYTMe6gr6V4/ax9ATEy/+AAXLFmXixUNMWRBVjnoEQ6LSWkSVjBUv4oqL3DgPgvN2Mjv18ePGjZoWifxp1cSJD93++ONfgKyqg4ULo+6sWYyCCdy5c+dGZs6c6bD4zz33HAU6DmsfydDYlvT/aCYRVoCEZVTCQvWVIjhu2XI0q9DvrmUJq/88cjjIDYjakHnRRRf95oQTTrhk0qRJmF6GOvAVdvGBaThxjgaOa/n/0T//5S9/2bdt20VnT5yYng8RZcbjCSYXjGgpQorIxwa1CwLCltUQeoU8kJmTyb50yCgFspIhfgD/Xdms2DaExfhCkZZcGpCsnH2ct5+LFmZlec6gQX4aw3cm5uV96juTJp35if37b4Ss/oksZupOtrjU1mQ6SFJJNRbtknkBj1IaMGAAM8fiwQ9hRWS/YrZrpejmzZJgjVrN36NWH3PxfvBjCasfPGRuUYZ1NK15aaeccsoTENV5hYWFMRqdl5+f7zHpKWxiGpcaGBpOQfqFF1xw+S6IaUhWFnGSqyP4GEXq1651lixe7KxatMi5HbK5h8zlLLkslSyKF5/K/iiEpQI1ADiP7SwadiqEpSgGPv+ZgNWpYq2ZexhU7FTg7b4+Hndz6+q8wfJ+Hzw4XlhQcFJGPP6PpU888dXoZZfdcdWllxZNP/fcS5AIT2WC1nFDhgxZi7C3RqFzIKr1XE5qbEhs+tttievqOhXVzIZTT313IWkx3tDJpEc0npeHGc/l1gMR11GpT7fdaA8s2BJWD3woXV0ljOseZJWYMGHCVxlicl5WVlY9ElUqg5+dPBwfaVhGhOG64hmpWgFe7H4kDcdzfItiSEtL/vlPZ+UzzzgZqDwnQ0BTkCiGMjbwQ4wRLISMcFIw8c01iYULEUn8iUnlE2HRoHWcyRzMtGH1qIxSKQlh4+zlWuuJef5GRYV/YMcOF/XTHV1cHM3IzvazhwzxpgwdevvPf/KT920sLR1+ysknFxTTEwfJat7DGdSRgBJ7vsZ8h/977733zoUdiPjcrSThCksR0kc+8pEPIp1mFY0aFeytq3P9rVs96uQPLCwct2TJkk+S50fCsZvrwyX6V7KE1feft5ucWis/MzPzBsiKzq2UFGZsdlatWuVgrxJZoY0NgpuyzQKZibgiSGDOor/+1Sl94QUntbTUmc7086MgiwyiiAaQ1bkQxlk4gv4HAtI4OulBRoqCtEycKAhJAewUySBFx9lvwrKwX6GZpQ5WQlZP7du3rbS6euheVMddmZn+npwcbzySXyEhaVZv2JAo3bbt5KlTpzp5gwYRKj4/gGRVP6NuUe9Mli/9v//3/049//zzL+FeRVrdoR4ashKWV1111X3Tp0+/kR5UqdhuEQZ3yIoRO+Iydwh1e3jTpk3vg7guZ5vx0d1Kolyi/yRLWH3/WYtH4jSoc9PS0nKY2SaxceNGbz/DSOgdNESFeuigZhkkqiCjGFIRMzU7S19+2YkS7vhkHCJHjxmj2W8cTSqhqbtqILxaQsOcj370d8itTFxFCWIREycKQlJvYRZERW+ikwI5GcOOyIw8tOJENXGiVmHD3+j708r37bv6d0uX3rGlvj51Z0pKvDI7O1qMc+nv/vKXyLCSEl8kiuoa4T44u0nSJWPDhw8/j5mn76Yj4VMQhC5lejib5OzEn6RKnTj33HPvGzt27I0QVRxCj4ZSqkg/mQwETDB7Afsep6PgIhZBo6RjNnUCAUtYnQCvN51K3KuT6urqgu3bt0sqcFAPnVGjRjklJSVGqmp8L/UYxDWL8yQknAlnnOFkqGdPREVMqwPEsdpdVeVDMMFGbFsramu9dCQjCMuEXcGRwcGsbnoPs1lnQlC4jZqhO0bXZBtHhwT9h+4Wtte67sfKq6p2IZt8p6Km5l/PvPHGg6X7909VJNR9qKGQlBYvhWsgIdLpaDoHOfNgElPIuzzBfX1y4cKF90MUyyAtiTshURzM3JENefhLpQar92I7uxHSjDEHYxQSNdg1IisVL9sVAqVbD4me//73v/8Gtr9HvaKz6O3syPXtOW8hYAnrLSz69BaNZhCSkyuywnCtXkGpMWbd/MYhNweVx9EMOBnYq5ytWx1NLLEbO1P5zp3B+h07Iq9BXv/ZufO15XV1jwVpaTcQL75wG4H8oDavmkabxzKQgjXIWfYrMQrMgsxFnChCr2zj/+YguP6VsrLnZtC5tgiC4viLTHt/5vK1a+fsqKi46YQTT0yj0XvsazCuHUpWlGKSSCvgfiLc19VsfwF3BzFblxDW8ccfL8mIsdzpNyNV+ZCmR48qEz+n0FF4aBNKEpgO+KjgX2DG6x/OnDnTqoYA0tl0KNqdLdGe3yMRQBV8TcZqSSxqaCIlSSzJxnVInSXJaEboStTA6l27/K1btgTrN2yIvLZypfPa2rWvrdi587ul+/b9lhPjJbm5v8E29VPOeVslxCN/rN1IPBBWINIyBnfURi7mQVZehe+v3eE4n95QVvaMISvKUAVgBTmr1mKqvpXtk9m+AGkvwRJBOmQiGslurSZJNnhOJN6mHBBEotWc7TugDgv8Q3NGQVKncg0XLA2JsjYdFi0VF0p4EFwJNq5TuZdFcoQlb1fVq6XL9vl9lrD6+COeMWOGswg3BOxXo0M7VXjLNKJws8V1BuP/lmKY37h0qfc69qzX3njjtWUbN969dffuRzghrrNPQXhaXFq6ls1zkdyugjU+B/uctBchZB871UL1kolMmPl4PZOKPlIajX7H2bx57xUcXpAkK7IoyR1AkpGklwJsUkY1lV1NNjfFilevJvdiMjf/qaU3U+psFycDEmQ1FDJkGsLaQNcJ66a1JNXmKYmt8X/g2HEsi7B3HR7w5oXY/4cgYAnrEEj61g7IyqhFEMHp2MdlUGfuhwZp5QgSiySxYBvTzv/wkUeWvPnmm98pLS83EpUa4/sxbEM2/mIM3iBm1K8wVvzIoqLjECOmYXzPxJvdPcBwQ5yTlu/xvDec0lK0xoaIB5zfmrSRoK67KgnwJ5LSgvuCUV8lFapXThJi4yTi2M04vl27dqkuXZ6k+okMVSf1sGqtOhFm2nRYNK+PKqA6KV9FRUW31KnLb7IXFGgJqxc8pE5WEe3KSDgFMqRraS6xtNTYOMWngbpIM8uefe656fzXOOcGosJtoBnZiBQlPahhJjaVl69ireWQNEP2KvI0O79xPkN+XOs/1PMCpieTGwNRarIMSakOIlq5YWBTMpKbJB5IAU+LimDLli1rVBg2LAl3RtVsXHgHtg1+SKfbuG4thJgmYpRUhbpn6iD1GWO8IS5ty+YmsoLMvNLSUiYEKtus61KnDlzentIYAUtYjdHom9siEjW6KkkGkgoksajRyfAuNbEliQWyCMjjQXBVkETioYceSrnuuuvihyEaXUMSk64XkhebB5OO+5DVkUjESISoYI8gDX5RDZ56EnpKHW8u46eZ+h3SlWQjwgoJTPuQ8FxcNn6iKz744IOGaA5eveMbqo+HX9UmcFoGJtMgoAQEGgmJPpS8hKfsgyIsVFjm3djnrly5smLx4sUv6vJz585NYA/reE3smca8YGHo2wiEEssLNKBzJbHI8C7VKmxwklAaSywHcGOA1IzEAgm8hjrp4gYhAmgLCYT5DPF0AFqdp9mq38Ar/9cQ0UfwZK9HckkVWaluSFKGbEPCYn89+VKXLl361/vuu+9ZfKaMZ38Hrt3aKcIwDonejZT1a0jRR/KUBGcINKyTMBVhSfWGxGLUMxVV+sc4m+6RwV3E39oF7P62IWAlrLbh1JtzGZKhIT2KxPKlpMRiGpakE/YZFTGUWHSjkhggABehwqXB/YJdQRdKLG3B0kg1EOv12IDGQp5nrVixIiGpj/8e5OqijuFNkSYXchnBU6nrejz3PymyassF2plHUqHUu0foWPgQ0tO7waUe7KJc25PkKhVRhIWtS3jHUAlFVmteeeWV21UnIk90lMDbWdW+nd0SVt9+vro7fdUj2HZeRWL5JY3eSCzsMxJLaBiWPUa9byIxSSzkk8TyW4jq33KcTA7vUXlHIxmShaSq6Fm7AEnwYUjig6tXr8bJfrtxzaC+xg9K9iyO/Xn9+vXX452/5dVXXzUSZTdUUnWSS8OVkNKjXPMCDW1CxQ6wXyUktSLxyT/Lo06pSLKr1qxZczFLBUN0VCdzT91Qr35VpCWs/vG4m0gsNLKzkKISSFGSWFypgzJqS2KR+oeKk8oYw+U0/uv4LxI7FtKBIQgkvyoe0YdwIP0pdf4QhDV5x44doyGNrexfBTk8Sh5MayZ1F1mpcEM4XB+/WOciJK2bwOnGzZs3j6E+Uamn6kkEr13U6eeQ6+3kq2DpzjpRfP9KlrD6x/M2ja0liQVJwPg2JdUZ0wOH7eUPqDL/BTSVkJUM6MdKOjCkxfWJi7fladZanJEjR+aiAlZoW0kkm6xndxNrWB+CM2y9h6E6D3HtEyH+yUikcm5dwwdgGVXaZSpmySoJQ9etLGF1HZY9vSTT2EKJBQnhR0gss/l/Eks4xGQJUsN8esL+nryZY0lWIZ6qtxZj5Gbth2SVVFUlAUrtVZ6jkcLrRLBpyafs5eRy8NrJeok8u5tAD16zv2xYwuovT7rhPtXYREIuEoJIKSSmhqPJ36TEon9h42xy/Bj9adzDZoj0KNvVmt+26qN6SOXTWkl4+ce4XqYiffVHYNvUvxAwjYpblsSixRCY1pIMtA+JRXl6EllRnSapp9RN9RBxqRdRy9GU9Lhc/0tWwup/zzy848YSi9lnJYMQGrvuqQhYCaunPhlbL4uAReAQBCxhHQKJ3WERsAj0VAQsYfXUJ2PrZRGwCByCgCWsQyCxOywCFoGeioAlrJ76ZGy9LAIWgUMQsL2Eh0By6A75JWkAK57ibjK+96GZungPoUi6tOseVwXVUGVqo7Nld0UZqo9NFoF2IWAJ6/Bwaa45RQWo/fKXv3xUvZa7MW5SZ8lKiIVlGBY8PIRtO8pHQfGiuqy8tl21fbm66SPSvkr089yWsFp5AZgkU43HZ2BrGlEm3/atb31rDyP1PQa4xhWgLUwaw0ZSIPG94b72rDnXp7yQABT8zSU6gc+19uhYe8oK83L+wfK0jyE4mvGFKCj73qp4mLmdayI+BASwcyFU3XOT67SzqCbZuVf977LymhTeRX+68SOi4UUmVI6qynXa+9x7NG5dBL8pxhJWC2gm4xclIKkSiKOEga1bWRchbWlmlmxO0Zx3B18SSQftTVIzVQYpg3ND73Izpk8B4AhTQjh0v80Fh+VRZoQ4TU1sk+xziNtUi6SoSR7Mddtb3zC/IpVSjnfHHXdUg8dhp7EJz2m81g3zv3mDFJ41HGL2et9ItY3POdI29YDn3+Ji3SCp13xE9BEgCoRmQkthSrAUPggacdAco1ZhIPqGe8455wSaxZtn36Ol1FZvoo0HLGE1A0pkpS/cN7/5zXE0oPchUW3gJfo+DcCQR/KF6rKXgsY/kCpECbDXhJwkFTWr2mH/6kVNSlYDqXcmmZu/8CIFpcOW0/wgRCBCzeG8JuVxDY+lzYWFREQ5aph5nNv4flU2E0S7WRB18yoc9r/qwJJNpl77ESHCQ+K11147k3DV+4nzNZLnmAoWjfFpFQPdPwPZE8TcCpYtW/a2cePG/a3VzH3ggCWsRg8xJCukhynsfh/LCuJx/14vj14MrYlrHmt0Slds7u6KQhqVsb3Rdr/Y7O0fEUjaJ158LpLibt6z51mYl9ZrlbDCj0gyT8DaJSTQOwh2uHvSpEnP6KFThgnG2NdeAEtYySfamKwgpvfxwJfz1XtM4+vYNmTV6OFLsmj1hWqU73CbpgyVfbhM7T3W0w3Xuh8k2M5i1xiWPvERufvuu0/kpspvvvnmpY1vri3baAPvJsDhHibB+Ok111yzqYX3tS3F9Io8lrB4TC2R1fjx4x+77bbbZBhpTlZ6sF3R4EwZktpUYBemri6vC6vWrUX1yo9I6CqjuPSozWl6F0FJSxMVvDFy4TmEhI4QzPC9vEPHc/zRG264YaXO53+r5zYupzdu93vCao2smDTAkBUPtb8SQG97n7viOZkyjvJHxBDtnXfeKdUukP2Ud/JwPYXK7ysU0NSpUy+lrpMgut/xcV0Wvsu97cG1p779mrDCByybFQ/eqIGSrCxZtecVsnmPIgKG3PTe4qZyOdedCFk92l/ISjj3W8JqTlYYPv/JDDILk9MxdYV6cRTfY3upfoDAQbKiE/H93O9oPrI/g6xKw3e5H2DQPwkrfMCNJKt/3HLLLQt54HopLFn1hze/d91jc7Iag/r4C97ZsvBd7l230/HaNnEw7HgxvefM8AE3Jiu+Ugu1P3kXXWEL6T2A2Jr2dAQOISt8A/slWelB9SuV8HBk1YHhED39Rbf16/0IWLJq9gxDqaLZ7r73F7JyRUotSVaWrPre8+4Dd2TJqoWH2C8krKQjnc/YwBPoVbmc//8I1UBLVi28FXbXMUUgHHgvjSBpYB/Tn9XAxg+jzxMWwxjMGDORFdsabrPIklXjV8Bu9zQE8LGSL5YlqxYeTJ8mLLp9FVblAGrg8ZDVFfSs/OPWW29dOH/+/Mjy5csDvRQtYNLtu7oprpI6C4wa0ckb6IoyOlmFfnu6eR8ZDiay0sfVSlbNXoU+TViof/XEs5qQl5dXwn0/CVm9qPtPOoY2g+Lo/UUN7a6LdUUPZ1iGiKtLEiq409PHOB7rj4jMFnxUNRmrs379+itYjbJq4KGvX5e9lIcWfUz3GCnhv//7v29YuXLlh0444YSnhg4d+gKOoWka/qClpdqxn3dGI3IakiQ0Uq+JqxTWu6PrZsH5OlqMPa8DCNx1110fgaB2HjhwIIV37gS2f9Yf/ayOBF2fJKykkT2Q3Yqv1TtLSkrKiTeVejgwkudkI5U1iat0uHNaOxZen+MZbB8Mzhfm54XscHA+yjhEjeUatZTZUlSJ8JLtWSvOVY8NzkfdFPW1mvX+9txUmBecmkR4ZYSDJBuFDNob5mnvGvWtyQewPRFeFXxvypQp/urVqz/MAOipI0aM2Mj9zf/85z+/VSYL2ynU9Gn0ScJqeott/9cdcZVoWNGWXui216ohxLHKoLG1GpwP6bDdz5KG2mpwvvaUB8mbKKHUr6XgfCbcBfd7CNEeCQOwo0i32z8iXEeEY9SxI9UpPJ6smyoYYd8h98bxNn1EVA5Y+wTgO62goGAt2sBDxFwrt2QVIt103e6XvOnpPf5fe+6vyVeyx99ZP6lgf/mI7N+/PwXb6koiMEh6FFHb97GFd7w9DbqF0/vkLmHS2ZfFlKEXrysR6umGa90rKkxnsWsMWVeW1bjcHrttyerwj6ZLG9ThL2WPWgQ6jEC/+Igkyb7fkXSH3wp7okXAImARsAhYBCwCFgGLgEXAImARsAhYBCwCFgGLgEXAImARsAhYBCwCFgGLgEXAImARsAhYBCwCFgGLgEXAImARsAhYBCwCFgGLgEXAImARsAhYBCwCFgGLgEXAImARsAhYBCwCFgGLgEXAImARsAhYBCwCFgGLgEXAImARsAhYBCwCFgGLgEXAImARsAhYBCwCFgGLgEXAImARsAhYBCwCFgGLgEXAImARsAhYBCwCFgGLgEXAImARsAhYBCwCFgGLgEXAImARsAhYBCwCFgGLgEXAImARsAhYBCwCFgGLgEXAImARsAhYBCwCFgGLgEXAImARsAhYBCwCFgGLgEXAImARsAhYBCwCFgGLgEXAImARsAhYBCwCFgGLgEXAImARsAhYBCwCFgGLgEXAImARsAhYBCwCFgGLgEXAImARsAhYBCwCFgGLgEXAImARsAhYBCwCFgGLgEXAImARsAhYBCwCFgGLgEXAImARsAhYBCwCFgGLgEXAImARsAhYBCwCFgGLgEXAImARsAhYBCwCFgGLgEXAImARsAhYBCwCFgGLgEXAImARsAhYBCwCFgGLgEXAImARsAhYBCwCFgGLgEUABP4/jOFs9SOtTF8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<PIL.Image.Image image mode=RGBA size=300x300>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "trajectory = Trajectory(rkf_path)\n",
    "\n",
    "for frame_number, frame_molecule in enumerate(trajectory, start=1):\n",
    "    print(f\"Frame {frame_number}\")\n",
    "    print(frame_molecule)\n",
    "    if frame_number == 5:\n",
    "        break\n",
    "\n",
    "view(frame_molecule, direction=\"tilt_z\", width=300, height=300)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "extract-specific",
   "metadata": {},
   "source": [
    "### Extract Specific Frame\n",
    "\n",
    "Use `get_history_molecule` to load one selected frame directly.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "extract-specific-code",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Extracting frame 10 of 21\n",
      "  Atoms: \n",
      "    1         O       2.141748       4.907588       4.646051\n",
      "    2         H       2.480594       4.180726       4.172887\n",
      "    3         H       2.842408       5.154153       5.195327\n",
      "    4         O       5.191984       1.938697       3.784959\n",
      "    5         H       5.210499       1.959803       2.846443\n",
      "    6         H       5.263893       1.011164       3.901648\n",
      "    7         O       3.684341       5.072819       1.368730\n",
      "    8         H       3.096675       4.674780       1.970383\n",
      "    9         H       4.513040       4.654240       1.251510\n",
      "   10         O       5.252587       4.809673       3.799070\n",
      "   11         H       5.194859       4.054110       4.326541\n",
      "   12         H       4.452031       5.261991       3.720272\n",
      "   13         O       1.029455       4.032577       2.379707\n",
      "   14         H       0.996287       3.108389       2.291853\n",
      "   15         H       1.056212       4.373920       1.508580\n",
      "   16         O       2.136329       1.965319       5.195147\n",
      "   17         H       2.954537       2.419477       5.162725\n",
      "   18         H       1.509667       2.659148       5.198481\n",
      "   19         O       3.168833       1.395107       3.191952\n",
      "   20         H       3.038469       2.298366       2.960327\n",
      "   21         H       2.376635       0.959638       3.401077\n",
      "   22         O       3.415182       1.827725       0.926554\n",
      "   23         H       4.139620       1.279205       0.989560\n",
      "   24         H       2.628257       1.348110       1.092084\n",
      "  Bonds: \n",
      "   (1)--0.9--(2)\n",
      "   (1)--0.9--(3)\n",
      "   (4)--0.9--(5)\n",
      "   (4)--0.9--(6)\n",
      "   (7)--0.9--(8)\n",
      "   (7)--0.9--(9)\n",
      "   (10)--0.9--(11)\n",
      "   (10)--0.9--(12)\n",
      "   (13)--0.9--(14)\n",
      "   (13)--0.9--(15)\n",
      "   (16)--0.9--(17)\n",
      "   (16)--0.9--(18)\n",
      "   (19)--0.9--(20)\n",
      "   (19)--0.9--(21)\n",
      "   (22)--0.9--(23)\n",
      "   (22)--0.9--(24)\n",
      "  Lattice:\n",
      "        6.2086047072     0.0000000000     0.0000000000\n",
      "        0.0000000000     6.2086047072     0.0000000000\n",
      "        0.0000000000     0.0000000000     6.2086047072\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<PIL.Image.Image image mode=RGBA size=300x300>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n_entries = int(md_results.readrkf(\"History\", \"nEntries\"))\n",
    "selected_frame = min(10, n_entries)\n",
    "selected_molecule = md_results.get_history_molecule(selected_frame)\n",
    "\n",
    "print(f\"Extracting frame {selected_frame} of {n_entries}\")\n",
    "print(selected_molecule)\n",
    "view(selected_molecule, direction=\"tilt_z\", width=300, height=300)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "00329a68-0ba0-48db-b778-13cd103c03cc",
   "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": "3.8.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}