{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Energy equation\n",
    "\n",
    "The energy of a magnetic system can be computed using Hamiltonian, which consists of different energy terms. In addition, the effective field which affects the magnetisation dynamics in the LLG equation, is also computed from the system's Hamiltonian.\n",
    "\n",
    "In this tutorial, we explore different energy terms that can occur in the Hamiltonian.\n",
    "\n",
    "## Zeeman energy\n",
    "\n",
    "The Zeeman energy tends to align all magnetic moments parallel to the external magnetic field $\\mathbf{H}$, so that the energy density $w_\\text{z} = -\\mu_{0}M_\\text{s}\\mathbf{m}\\cdot\\mathbf{H}$ is minimum, where $\\mu_{0}$ is the magnetic constant and $M_\\text{s}$ is the magnetisation saturation.\n",
    "\n",
    "To demonstrate the effect of Zeeman energy we will apply an external magnetic field $H = 10^{6} \\,\\text{A}\\,\\text{m}^{-1}$ in the positive $z$-direction to the one-dimensional array of magnetic moments. For the initial magnetisation configuration, we will take the $(1, 0, 1)$ direction with $M_\\text{s} = 8 \\times 10^{6} \\,\\text{A}\\,\\text{m}^{-1}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import oommfc as oc\n",
    "import discretisedfield as df\n",
    "import micromagneticmodel as mm"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Our mesh is a one-dimensional array of discretisation cells."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "tags": [
     "nbval-ignore-output"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgMAAAHiCAYAAAB1K8/tAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy81sbWrAAAACXBIWXMAAA9hAAAPYQGoP6dpAAChxElEQVR4nOydd2Cddb3/X2ef7L060rRJs7qTtLQFChRkqQwVBURABIQreH8il4uiLBUvosIFZTgLAqJwZcnSArZFoCttOrPTpk3b7D3OfH5/POd5clZ20hbyef0j5pxnnaTn+/5+xvtjUBRFQRAEQRCEaYvxRN+AIAiCIAgnFhEDgiAIgjDNETEgCIIgCNMcEQOCIAiCMM0RMSAIgiAI0xwRA4IgCIIwzRExIAiCIAjTHBEDgiAIgjDNETEgCIIgCNMcEQOCIAiCMM0RMSAIgiAI0xwRA4IgCIIwzRExIAiCIAjTHBEDgiAIgjDNETEgCIIgCNMcEQOCIAiCMM0RMSAIgiAI0xwRA4IgCIIwzRExIAiCIAjTHBEDgiAIgjDNETEgCIIgCNMcEQOCIAiCMM0RMSAIgiAI0xwRA4IgCIIwzRExIAiCIAjTHBEDgiAIgjDNETEgCIIgCNMcEQOCIAiCMM0RMSAIgiAI0xwRA4IgCIIwzRExIAiCIAjTHBEDgiAIgjDNETEgCIIgCNMcEQOCIAiCMM0RMSAIgiAI0xwRA4IgCIIwzRExIAiCIAjTHBEDgiAIgjDNETEgCIIgCNMcEQOCIAiCMM0RMSAIgiAI0xwRA4IgCIIwzRExIAiCIAjTHBEDgiAIgjDNETEgCIIgCNMcEQOCIAiCMM0RMSAIgiAI0xwRA4IgCIIwzRExIAiCIAjTHBEDgiAIgjDNETEgCIIgCNMcEQOCIAiCMM0RMSAIgiAI0xwRA4IgCIIwzRExIAiCIAjTHBEDgiAIgjDNETEgCIIgCNMcEQOCIAiCMM0RMSAIgiAI0xwRA4IgCIIwzRExIAiCIAjTHBEDgiAIgjDNETEgCIIgCNMcEQOCIAiCMM0RMSAIgiAI0xwRA4IgCIIwzRExIAiCIAjTHBEDgiAIgjDNETEgCIIgCNMcEQOCIAiCMM0RMSAIgiAI0xwRA4IgCIIwzRExIAiCIAjTHBEDgiAIgjDNETEgCIIgCNMcEQOCIAiCMM0RMSAIgiAI0xwRA4IgCIIwzRExIAiCIAjTHBEDgiAIgjDNETEgCIIgCNMcEQOCIAiCMM0RMSAIgiAI0xwRA4IgCIIwzRExIAiCIAjTHBEDgiAIgjDNETEgCIIgCNMcEQOCIAiCMM0RMSAIgiAI0xwRA4IgCIIwzRExIAiCIAjTHBEDgiAIgjDNETEgCIIgCNMcEQOCIAiCMM0RMSAIgiAI0xwRA4IgCIIwzRExIAiCIAjTHBEDgiAIgjDNETEgCIIgCNMcEQOCIAiCMM0RMSAIgiAI0xwRA4IgCIIwzRExIAiCIAjTHBEDgiAIgjDNETEgCIIgCNMcEQOCIAiCMM0RMSAIgiAI0xwRA4IgCIIwzRExIAiCIAjTHBEDgiAIgjDNETEgCIIgCNMcEQOCIAiCMM0RMSAIgiAI0xwRA4IgCIIwzRExIAiCIAjTHBEDgiAIgjDNETEgCIIgCNMcEQOCIAiCMM0RMSAIgiAI0xwRA4IgCIIwzRExIAiCIAjTHBEDgiAIgjDNETEgCIIgCNMcEQOCIAiCMM0RMSAIgiAI0xwRA4IgCIIwzRExIAiCIAjTHBEDgiAIgjDNETEgCIIgCNMcEQOCIAiCMM0RMSAIgiAI0xwRA4IgCIIwzRExIAiCIAjTHBEDgiAIgjDNETEgCIIgCNMcEQOCIAiCMM0RMSAIgiAI0xwRA4IgCIIwzRExIAiCIAjTHBEDgiAIgjDNETEgCIIgCNMcEQOCIAiCMM0RMSAIgiAI0xwRA4IgCIIwzRExIAiCIAjTHBEDgiAIgjDNETEgCIIgCNOcaSsGvF4vHo/nRN+GIAiCIJxwDIqiKCf6Jo43/iLA4/Hg9XoxmUyYzWYMBsMJvDNBEARBOP6YT/QNHE8URcHr9WI0qgERl8uF2WzGaDSiKAputxuv1wuA2WzGZDKdyNsVBEEQhOPCtIkMeL1evF4vZrOqfwYGBnA6nRgMBoxGo774m0wmDAYDHo9HogaCIAjCtGBaRAY8Hg8GgwGTyYTb7dYXdm1x93q9OJ1O/f2aMPCPGmjiQHvdaDSKOBAEQRA+FXyqxYB/WkBRFFwuV8jr4RZ0t9uN2+3G4XBgNBp1YWC1WjEYDHi9Xlwul368xWIRYSAIgiB8YvnUigGv14uiKJhMJn3xBsa8aGvpBe14TRgERw380xBaqkEQBEEQPgl86sSAtjgbjUaMRqNeEOj/OhCQJhgLWrrA4XBgMBh0YaBFB7xer16IqNUiiDAQBEEQTmY+VWJASwuYTCY9LTDULl0rHAwWC2O9nsvlCogaVG3dQs+HL2Je+BmWnXuBLh4URZGogSAIgnBS8qnpJtCK+0wmEx6PB7fbrf9/o9EYUC9gs9n0fL8WSdDqBCbycezd+D7JO57G6FvrBxQLzfYsLFlLmLfiVFJnzdKjBlqtgdbmKAiCIAgnik+8GNAWc80TwGAw4HK59B2/1i6odQsYjUYsFguKotDf3x/QVugf5ne73aN2KHQ5nOz8y2/J6tg67PtaSKA3KZ/kwuXkLl+B2WrVowb+bY2CIAiCcDz5RIsBrWjPPy1gs9mGFAPaoq8JiIGBgYBIwFAthcNFDZrqD9H46mOkK00AuBQjFoOXFhLoS8wlqq2cJDpDjnMqZppsmZhmL2LO8lOZOW+eHjVQFAWr1SpRA0EQBOG48IkVA1qRoPbf2i7earUGOAlqYkBD8xkIJwb88W8pHCpqsOdf7xJb9hciDGrU4bA5E4/JzhxHJY2GFE6583F6e3tpPFhPw66t0LCXVEc9NoM75HptxNIdn0d8fgl5p6zEFhEhpkeCIAjCceETJwaC0wJAgGGQ1Rd6DzYI8vcZ0N4znBgIxr+l0O108uEfHiGzXU0LeBUDh2acxbIvfJXSZx4jq3snrcRT8v3f0dPTE3Aep8PBgbKddFbuJKqtghTaQq7lUow0WWfDzIVkFq1iVm6uHgXRnkmskgVBEITJ4hPVTeDfy++fax8K/0XTXzD4txeOVgxoAqO+spLm135FptIMQJcSifXsmznjlJVq0aLZCoBJCd39A1htNnJXnAIrTgGg5chRDu/ciufQblIHDmA3uLAYvMx0HYQDB/EceIMyJZrOuPnE5haTt3I15uhonE6nRA0EQRCESeETIwa0tIBmKRwcHfDHYDBgtaqLspYWCPeesbL7vfXE7/4LaQY1wnDYMod5l32bxLRU/Tomqx0AM+5RtS8mz8ggecZFwEW4nE4O7tlDe3kpEa0VpPkER7yhh/iuHbBtB0e3/p5G8wy8MxYya9kq5hQWBkRCpBBREARBGCsnvRjwTwsEdwoMZSfsnxYYblH0TykMt2A7+gfY9ZffkNVVCgbwKAYOzzybZZdeobcyakZEXoMqUCyokYGoqCi91sC/5TEcFquVnKIiKCoCoKO5hYM7NuM6uIfkvlqiDA5MBoUZngY41ACH3mHPqxG0x8wnKmcZuatOIyY+XqySBUEQhDFxUtcM+FsKa5EB/12w1ibocDgA9IXPvz5AixI4nU49JaDVEWj4FwcGL9hH6w7Q9vdfkaq0ANCpRGFY8w2ylxWFveftf/szmYffwaMYyP7+X3E4HPpu3b+TQbvOaE2PPG4P9fv20bJ/O7bm/aR5mjAaAn91XsVAkykNV/oCMhYtZ+6SpfqziVWyIAiCMBQnZWTAf8CQfzRAC/0Ho3kFaMcOp2/8F+X+/n496qAVB1qtVn3B3vbm68Tu+gupvrTAIctcsr98C3FJSUOe36DVDBgU3C5XgLjQ7ItNJhNWqxWbzYbX6w1oXxzyvs0m5i5exNzFiwDoamvnQOlWHAd2kdRbQ4yhH6NBId17DI4cgyPvcvBteHnWdyleOIuivDRirUZd8GhCSoSBIAiCcFKKAU0IAHrIOxzazy0Wi76gBtcH+B/rPz/An+B5A26Xix3PPs4cv7TA0TnnUXzpFSMWHBqtNv2/Hf0DGC1m/Zhw9sWaEImIiNBFkCYMhosaxCYmsPicc4Fz8Xg8NFRW0rR7KwmNW4nxdmMwgNEAh/fuZuNutfYge2YsRXmplBSmkzs7XqySBUEQBOAkFQNaqD+42j+4RkBb+IPdAsMtaBaLBWDYeQUADTU1tP/918yhFVDTAtazb+bUFStGFeY3WQajF87+fuyWmCGfUzuP0+kcMWqgLdrhMJlMzMqaRWzFG7iUbvB7NHt0FHSp/13T0EVNQxcvvldNpN3MkvnJlBSkU5yfSoLVqEdgxCpZEARhenFSigFthxyuCwAC0wLAsDto//SBtiNXFEVf6PwFRtk/3yJp3/+R6jMFOmSdx/wvf5uYxHj6+voCphT6L9j+tQb+YsAx0E9EXOyon3m8UQPXsRq63vw13h7Vs8CUmIGn7SgAd1yxgCZTOmXVbZRVt1J+sAO3R6FvwM1Hu4/x0e5jAGSmR1OUl8rywnQKspJQFEWvs5Dpi4IgCJ9uTkoxoDHUtEH/tIDNZgt4XVvctYVbO8dwcwYGevvY/ZcnyerZpacFGjLPY9nFXw7YHYdbsP1384qiYI8ejAQ4BwbG/ezBUQPtWpoI0e6la9tbdG14Drzq89kXn409/1Q6/nq/70QuZmVEMys1ms+uzmTA6WFfXTtl1a2UVbfS1K7eY/2xHuqP9fDKhlrsVhOLspMoLkijpCCd1ASrWCULgiB8ijkpxcBQIkD7uX97ofaafwhdEwzagjlUoZzBYOBIbQ2dbzxOls8JsEOJxnzWDRQvXjLiffp3NuhRA7+aAWd/P1arFZfLNWxx4EgoihJQYGg0GjF6XXT+8/f07f9Qvb7FRvx5N2CbfwqO5kN+Nxl4XbvVRFFeMkV5yQAcbe1jV3UrZdVt7Ktrx+n2MuD0sHV/E1v3NwG7mZEcRXF+KsUFaSzMTtajBmJ6JAiC8OngpBQDEFj4F9wtMFxaQOtAGK6nXzv3zrf+TsK+l0jxpQXqrTnkXn4LMfHx47pfl8sFfjtmt2MAo9Goh/nH01IYDmfzIbrefAxPuxriNyfNJPmS27CnZqqfVWw87dqbPcOLkIykSDKSIjnvlNk4XR7KD3ZQVt3GrupWGlr6ADjS0suRD+p4/YM6LGYjC+clUVyQSklBOhlJgbMgtLZNEQeCIAifHE5aMaChheH9d+D++FsLaztUbSc9FEajkY9/+h+kKU1g8M0WSD6FU6/7zwCHw9GOMPbH5Je2cDucOBwOPB7PuFsKgxko/5Du99aBW7VXtuWtImbttXgsNnp7e9WF2DsopGwWExGRkaN6JqvFxOKcJBbnJAHzaW7vZ1eNWmuwp7adAacHl9vLjspmdlQ287tX95KaEEFRfiol+Wksnp8CDEZupH1REAThk8FJKwa0BcRoHKxyH6oLwGg06q6Dbrdb7xzQCDemON7bplfdGw0Kc1o/puJnO2iNyiYiu4jcVacRn5wcMKVwNP5MVj8x4HL0B5gghas1GG3UQHE76dn4PAN7/uW7aTPRZ1yJfeFZAZ+JajA0eJyjvxeb14vFYtFrDfwLHod7ppSECM4umcnZJTNxu71UHuqkrLqVXdVtHGxUBzA1tffz9kcHefujg5hMBgqzEinOT6OkII3ZadH6c2nWzNK+KAiCcPJxUooBbZcPoT4D4RYSLXLgdruHLGzzn1fgcrlots1ilvMA/YoFCx7MBi9RBgdRfftg9z5adz3LflMarrQFZCxZSfbSpQAj7rCt9gi0kUgepyPse8LVGgwXNfB0NtP11q9xNx0AwBiTROyFt2BJmxv+WU2Dv1aP08GAr5BRS7eYTCZsNht2uz1AhAwXNTCbjRTOTaBwbgJXfAbauxyU1ajCYFdNG30Dbjwehd01reyuaWXdG/tIirOzLDeFkoI0luSmEmk2ilWyIAjCSchJKQYAPbQ+1GRBf8Ewkuc/hM4rUMwR4IROYyLZ1/6QutKt9NXsJKG7mjhDL0YDpHsb4WgjHH2PvW/ZaY3OISp7GbmrTicuKTFs1MBqt+liwO0cGHGxGylq0Fu5lZbXHkNx9Krnz1pCzLk3YLRHD31Sk19kxOPS/9Pr9QZMb9SuE+y8qD3XcFGDhFgbZy6bwZnLZuDxeKlp6NY7FGqPdAPQ2jnA+q2HWL/1EEajgbzMeIrz0yguSGNuRqw+E0KskgVBEE4sJ70Y8EdbnLQdbjjr4eDxxJp5jtfr1RdcAMWshvNNipPImGgWnHEWnHEWXq+XhqoqGndvw9y4j3T3EUwGhWjDANG9e2DXHlrKnmWvKQ13xkJmLl3F3EWqRbDb7UaJjKLHdw2v38I7luf2eDwoXg99H/+Nvm1vqC8YjCSccQWxKy/C61WGrTUwGI1gNIHXgzJMAaF2DofDETZq4O9rMFzUwGQykpsZR25mHJetnUdnj5PdtWoR4q7qNrr6XHi9CvsPtLP/QDvPvl1OXLSVZbkpFBeksSw3FaufVbKYHgmCIBxfTkoxoO0Oh4oI+PsMBNcHBL8P0BeYAHxiwKIELpZGo5HZeXnMzssDoLeri7rSrfTXlpHYXU2soQ+jQSHDewwajkHDevb8PYL26Byic4vJXXkqbsWI2eBFcTvGtdP19nbQ9faTuBrK1WeJiCX2/JuxZS3E4/EG1BoMZURkMFlQvB4Ut2uoywRecxKjBnHRVk5bnM5pi9PxehXqm3rZd6CLLXuPUnW4E0WBzh4n/ypt4F+lDRgMkDMrTrdKzpkVr4s3sUoWBEGYek5KMeCPtgAE1xGM1JqnRQ5cLlfYCIPBoooBMy49chCOqNhYFp55Npx5Nl6vl8OVFTTt3oalcT9pnqOYDAoxhn5ienfDjt00lj6tuwF7OpowmUxE+qr5R9NS6GyooPutx/H2dQJgmZFLzPk3Y4pOGFOtASYzuAhIE4yF4KiBJgzGGjUwGg3MmxHLovkZfG71LLp6Heypbfd5G7TS3u1EUaDqUCdVhzr5y/oqoiMsLM1NVlMK+WnE+VklA2J6JAiCMMmctGLAfxfoP2kweNDQUPMKtMVqyPP7pgtacBMVFTWqVj+j0UhmfgGZ+QUA9HR0Ule6lYG6MpJ6qokx9GPyGyuc2VXKnp9eS1vsfGLmF5G36nSiYmPCzhtQFIX+0rfo/fAlUNTniyi6gKjVX8JgNIXcy0j2xUazFQ9gVLzDip3RoOX1g+sawkUNtDqAoYiOsLByQSorF6SiKAqHGnv1WoOK+k48XoWefhcflB3lgzLVUnnuDN+ApYI08rMSxfRIEARhkjEoo+mXOwE4nU59YTcajfqu2mq16p75gL4Q+KcM/Mcew+BCqYXBzWYzH/3lGWbU/R2vAun/72msVmuA6BirQZDH46GhooKmPduYcfRfWAyhx3gUA43mGXhnLGRW0WrmFKiiwtnTSdubj+Oo3aHevzWCmM9cjy27eFyfncFgoHXdf+HpbCK25AKSz7t+3L4Go7mWJgy0UH7wvAaj0UhUVBS9vb3Dfpb9Djd769rVOQpVrbR0hto5R9jMLMlRrZKL89NJjreLVbIgCMIEOakjA8H2w8Pt/vzth4PnFfifUxMPRqsdUMf89vf0okQFmhcNN4woHCaTiczCQjILC9n36A5SaKfBNAuPPZ7EnmqiDQOYDAozPA1wqAEOvcPuV6Loi0gjxXMMk0t1+7OkZhH/uVshOmncn52iKGBUf7XOgX76+vrGPSp5NNcK1w0RHDUARoxQRNjMlOSnUJKfgqIoHGnpY1d1GzurWyk/0IHL46Xf4ebjvY18vLcR2MXs1GiK8lMpzk9jYXaSRA0EQRDGwUkrBvzD/doCMlRBoWY/rC06QwU7/AWD2WbXf+4Y6MceFakfO5rFbbiQuMdgAQU8tlhOu+WH9PT0cGj/fpr3bcPWtJ80TyNGA8QaeokdqNWP229dyEDWlykxJDI7KipgJsFYF2yDWY2SKG7XmEYlTzRqoF3L4XAECCuAiIiIUQkrUH+vM1OimJkSxQWrZuNweth/sIOyKjWlcKytH4BDTT0caurh1Y212CxGFmUnU5SvTl9MS7SJVbIgCMIoOGnFwEgGQkBAJ0FwEZv/F364eQUm66AYcPb3D3kfQy1uNpstICTuX0jnNZrBAwbP4MTBrIULyVq4EIDO1lYOlm7FeaCMOf37AShzzOYPbUXwdjXr3q4mKc5OcX4KJQXpLM1NJcJiHNuCrRkPBRUQTmRU8ljRruV2u4mOjmZgYEAvRvQXVqNJx9isJpbOT2LpfDVi0tg2GDXYV9eOw+XF4fKyrbyJbeVN/OaVPWQkRVKUpw5YWpSjDmYSq2RBEIRQTloxoDGS/bAWDh7qWP8wsf8iarH7i4HRjRoebdTAa7SqYsAbvpI/LimJxZ85H0U5j5ZfXQeKQvScfOZ1xFB3pBsF1bDnH5sP8Y/NhzCbDBRkJVJSkMbywnRmpgQWPIZbRA0+4yFlhG6CkUYl+19ntJbMQ+FfhDjRCEVaYiSfWRHJZ1bMwuX2UlGvRQ3aONysGjQdbe3jjQ8P8MaHB7CYjRTOTaQ4Xx2wNDMlatDTQdoXBUGY5py0YmCoL2VFUTAajfoXebjogb/d7VDzCiy2CP2/nQNDRwaGwz9q4N9+p5gs4AKj163/PFz7ncFgALMVXA4WzY1h5fLldPU61R1vVSu7alrp6Xfj9rP5/ePf95GSEEFRXgorCtNZnJMSPmrgiwwMZzoUTPCo5MmKGvgbQfn/bKR5DaO9ljpJMZGF8xL56nmqkCrzjWXeU9tGv0MdsFRW1UJZVQt/eH0fKfF2lvk6FJbMT9FnYIhVsiAI05GTVgxAYNtgsImQ/+Ia/KWtDcXRFshwX+oW+6AYMCge3chovGFx//Y7r0H9WE2KutBFRkYOadpjMFlRXA7wmQPFRlk5bUk6py1RDXuqG7ooq2plZ1UrdUdVm9/m9n7e+biedz6uD9jxrliQQUaSGjXottpwgX7e8XA8owZj8VAY6VpJcXbWFs9kbfFM3B4v1Ye7VHFV3cqBY6o/ZHPHAP/YXM8/NtdjMhrIz0rQByzNSY8Rq2RBEKYVJ7UYAAIWoZE6CvyNicL5DPjPObBFRqItk67+/mFrAMaK4gvRm7zq9Xt7e4ccEGSwWFEG1KmEwRiNBnJnx5E7W7X57eh2sKtGixqow4GCd7xpiREU5aVyVr+CDTDixWazjWp+w7DPNEVRg6GuNVl1DWaTkfw58eTPiefyc7L1z7CsupXdNW309LvxeBX21raxt7aNZ97cT0KMjWV5ar3GstwUrEaxShYE4dPNSSsG/Bduk8mkfxkPNZ7Yf17BcIuDJhhskRG6GHD299HT06OfYzwWvAGYVEMjLTIwnNWvyWLFi2oOZLFYhr1OfIyNNUszWLM0A4/HS3WDuuMtqxrc8Ta29fPWRwdJjOpghQ2OHOtg28f1LC9MJyNpcKTwRBfssUYNYOjUz0Sv5S9URooa+H+GXq9CTUOXPpa5pqELBWjvdvDetsO8t+0wBgPkZsZTlKd2KMybESdWyYIgfOo4acUAoBcGjmaMsf+8gqF6y7X8vaIoGP0sig0etdpdW8AGBgb08LC/Be9ox/3iczc0Ez5F4W/1qxgHq/79rzPSqGSTyUheZjx5mfF85exs2rsdlFWr6YTdNW24FfWzczoc/O7Vvfzu1b1qdb2v7W5RdjJmk2FUbX4jMZqogbZwTiQVE+5a/gIuIkJN/Yzm81OPNTB/dhzzZ8fxpbPm0d3nYneNWmtQVt1KV68LRYGKgx1UHOzgz/+oJCbSoo5lLkynKE8dsCRWyYIgfNI5qcWAViw41E7Pv45guAXa361QW4QtNv9ugl5cLhcmkwmLxYLVag3Y2fb39+uLm/a6tihp7wm4R1+Pv5lRpBl8KQW3o5+enh59YbNYLGPa9SbEDI4Udnu8HHmzGuqqiDAPvv9oax9v/PsAb/z7AFaLkUXzVCc/tSc/etSWwiMRbidvt9sxmUwh1s+T0aHgdDpDogZj/fwAYiItrF6UzupFar3GwWM9vqhBK5WHuvAqCt19LjbuPMLGnUcwGGDejFhfrUE682fH6ekLMT0SBOGTxEkrBjRfgOBdVri0QPC8gmD8BYPL5VJFhM2KRzFgMih4nI6Q3aa2u7VYLPpgHpfLRX9/P16vGtIPjhroeWXT4NyDEZ/TF0XQagaG2vXa7fYAr4Thwvxmk5HEhCj66yAxysRj16zWe/L31LTR7/TgdHnZXtHM9opmfvPKHmYkR6ltd4VpLMpOxmSc3KgBgMPh0EdTT1WtwWg/v9FEDebOiGHujBguWZNF34CbPbVqxKCsqo22bgeKAjUNXdQ0dPHXd6uIsptZMj/ZZ5WcRmKsOcAq2WKxDNkGKwiCcCI5acUADO0k6N+u53a79eI//6E/WkdB8PRC7f97PB6cWIjAieIK9Bnw7wzQdpta8Z8mPDweDy6Xi76+vpDdvDUiCgCzwYvbd44hd6R+ToHBDLXrHU2Fvb/PQHKcnbOKZ3BW8Qzcbi+VhzrVWoPqVg41qT35R1p6OfJBHa9/UIfNamJRdpLqa1CQTkrCxKMG/qJtuGcay05+JPyvBQwZdQkb3Qki0m5mRWEqKwrVAUuHm3r1dEL5wQ48XoXeATcf7j7Gh7uPATAnPYZin1VywdwkQKySBUE4OTmpxYCGtphqCzyMPMZYSyFoaQFteJH/rt+FmQicGDwuPZ8dvCAMlw/XogbaYtLXp84XUPyiGT2dXcQkxA+589UiA4TpJhjuPoJz5cE7bC39QJDPgNlspHBuAoVzE7jy3BxaOgb0WoM9te04XB4cTg/b9jexbX8TT7KbWalRFOelUlKYzoJ5yZiMBCzY42Us+f+JRg0gfNQlXIfHSM9lMBiYnRbN7LRoPndqJgMON3sPdLDL9zk2d6ji8uCxbg4e6+Zv/6rBbjWxOCdZNz1KSbDpIlWrpxCrZEEQThSfCDEAg1/eQEjHQPACroVinU6nvrvX8N/1u31+AIrbGVIroP1vMMH98P5RA7vdTk9XJ6bqjfr7jzx5M00ROdjmLSV35RoS0lIDFjjDMJGB4Rhph+2MjKKPkR0Ik+PtnF0yk7NLZgY4+e2saqWhRRU3h5t6OdxUx6ub6vRFraRAzZMnx09ercGJiBpoaCJkPJ0kdpuZ4rxkivOSURSFY639uunRvgPtuNxeBpwetuxrZMu+RmA3M1OiKClIpygvhYXZYpUsCMKJ5aQVA8GthVpaQFGUsHlX/7SAhtVq1Xf84RYqt2+gEK4B+vv7Q2oFNNHhb1vrT/DO9lhdHc2vPkKa0qa/x27wkDlQAfsq6Nz3FyoNKTjTFpC+ZCXzliylzxaBA0JmCIyFcNELL77ohNdDVGQEXmVwlz3Ugh3o5Def5vZ+dvpy5Hvr2nC4ghe1XcxOi6bEt9stnJeE0TB01GAsi9tkdg2MhsmMGmQkR5KRHMn5K2fjdKkDljRXyaOtqsBqaO6lobmGVzfWYLUYWTA3ySew0shIFqtkQRCOLwZlIturKUQLofpX7mu5VpPJFLCr095j9JnDaGkB7b3aF6n/YByPx8OO/72DDO9R6u15rLj5BwHX9z9eC9/6C4PgBXXXu/8gtuwF7AZ1Ua+35hBZcCp99fuIaS8nge6QZ+xV7HgtkcS42zDGppD5rccnpWgPoH/Pv+h5bx0A6d/+AxZ7pJ6jHu3kQH+cLg/lBzsoC1rU/ImwmVmck8TywnRKCtJIjB1MoWitnw6HY0LPBYFGVNozTWbUIBh/Xwitu2Vc/hNAU3s/u3y1BvsOtNPvCBUWmnFUSUEai3NSsFqM+t+/RA0EQZgKTmoxAOi5fm3x1XZtwWIA1LTAUPbD/rt+7Qv9g4duY6arnkOWuSy/5f5h78f/WP8Fob+vn63PPk5W+xYAPIqBY3M/y7KLL9PrGxRFofHAAQ7v+BjjkT2kOg9jNgSKCUWBY6YM3DMWMnvZqcxZUBiwwI311zSw/990//O3ACTd+GuM9ij9ObTFTfNcGE+Yv7GtX6812FfXjtMdepxWQLe8MJ2CrESMRoM+xXCiO3l//KMGwRMqJyNqEHwt/89wIq6V9ogodlYcZUdFEzurBos5/TGbDD676TSKC9KYnTrohyFRA0EQJouTVgwAegeAf2hb2xlpw4H80wL+u/7h0HaWHz36Q2Y7qjlinsXq/3p4yF3/UMe3Hj1G3fM/I917FIAuJQrz2Tcxb8nSYY8f6O2lZtsWeqtLSevcg80QujvvUiJpj80lNq+EvFWnEhkdPaYFZ6ByM91vPwFA0jcewRgVH/Y5tEV0Igub0+Vh/4EOdvrEQWNb6OCnSLuZpbkpegFdQoxt3Lvr4fCPGvgLv6mKGvhHKIKjBiP9LcXExNDf369HZ9q6HOzy1RrsrmmjzxH6d5EUZ6coL4XigjSWzk8lwmbS/32IVbIgCOPlpBYDDocDq9UasMBrYkBzGtRCz9qXoLbbHS7Xr7H5yQeY07+fRkMqJf/1aMDiMdLx+z/+EOuHfyTKoFaOH7FkUnD1nSSlp4WkI4ajZ/Nr9Hz4Il6DkUZjOmnuoxgNgddzK0YaLTNh1mLmlJzKzJycEaMGjppSut54FIDEax/CFJsy4uc93MI2lgX7aGufb5xwK/vqOnB5QhfEuRkxFPty5PlzEjEMU2swEY5n1GCs4ipYDPij2U2XVbdR5jekyh+T0UDenHiK8tTPce6MWIkaCIIwLk5qMeB0OvVcc7AY8B9mE/xlF1wroHUQBH/5f/y7X5DVvZMWElj4HXXhHKlWwOVyse2vTzP76PsYfZetTzuD4i9/HZPZFDYdMZyw6C19m+4NzwGQ9v+eobezk7ptm+mv3UFST40uNvxpV2LoSsgjsWAFeStXqwZKQcVtzgO76HztlwAkfO2nmBMyxvTZT1bUwOH0sO9AO3vqOimtaAobNYiKMLN0fgolBWooPD56ekQNoqKihhQDwXT2ONntG7C0q6aN7r7QgtP4aCvLclMoLkhnWV4q0RGBUTWxShYEYShOejGgTSv0eAYnxhkMBt1NcKTbH25x/vfvHmZO+xY6lGjyb3si7PH+wqKztY1df/wps5x1APQpNpwrv07+6lPDHqt1OAwnTPp2vUfXu38EIO3W3w/6DgBej5f6fXto3rMVa9M+0rxNIddwKSYabZmYMpcy75TTSZ+TidvtprduF20vPgBAwhX3Y07JHPkDH4aJRg0iIiLwer3UNbRRVtXGzqoW9h/swO0JPS57Zqw+QyE3MxEDyqcyagCDrphjKRj1ehXqjnb73BBbqW7oIvjjNxhg/qw4inxjmbNnxYPi1f/+xPRIEAR/PhFiQBt0YzKZdGvXoToEhiN417/x948yu3EjvYqd+bf/ftj8bu2uXTjXP0G8wTcd0JhK1hV3kjp7lp4bHqnWIJww6Sp7j9Y3Hgcg9eYn9UK/cHS2tHJg64c4D5aR0lerdy7400ICvckFpM2ejX3HXwBI+er9GFOyJmzaE/wc/gvbSK13mjHSwMBgpEMz69F8DVo6Q6MgMZEWls5PpqQgneKCNGKjrMc9ajAah8KxYjKZiIyM1DsE/P+Ox2qw1NPnYk+taje9q7qNjp5QAyvtcyzKH4y+iFWyIAgaJ7UY0IYHabuX4LTAWEPywWz569NkNqzHqZjI/8FfwwoLr9dL6ev/R3rN3/UOgIPxxSy78mYiIiOHbV0cDm3xGajcTMurjwAw65anMETGjaqI0e1ycWDXTtr2bSOypZxk2oZ87+ElN7BwzZnERwcupJNFuNa74EVUmw3Q3x+aJgC14+JISx87fcJAs/j1x2CA7Jlxqq9BYTrzZyegKKGjkieD4xE10GoGPB5PwGfon5oa6+9KURTqG3v0WoPKQ50hnyOoA5aKNKvkrERA0f/uJGogCNOPk1oMuN1ufbeijRUe6gtqrL4AAFv/78/Mrn8TgNT/fBqr1RpwfE9XJ9t+/wsy+/YC4FTMdCz6Mos/c0HIucYrTAZqSul47WEAMm78X2xJM0J2itrubThaG45QX/oxnvpdpDrqsPq1Lr7SW8T7joXMnRFLSX4qKxZkkDM7PiD8PplRA//WRW0RBXWhGkoMBNPvcLO3rl2doVDVSmtXqD9BbJSFpfNTWF6YTlF+GjGRlimJGgABIf7JihrExMQwMDCAyxUY4QnX/jneYU59A+rnqE1fbOkM/Rwj7eYAq+SkOHvAdcQqWRA+/ZzUYsC/nXCsu/6hfAH8d3Wlr/+NGdUvAxB341NEREXqxx+rraXl1UdIph2AVuJJuug7zMydP+Z0xHDCxHFwD+1/exCApK/9FEvyrHEJG42B2p10vvU4ilNddHuI4K62LwCBIeCYSAvLcgcXUq3YbDIMj/zxt/kdrzmQNhhopy9HXlEfuts1GGD+7HiK81JZviCd7JnxJ33UYCgx4I9WazBU1GAsRY/+0Zdd1a1D1mxkpkWzzGd6tMDnKqn93YnpkSB8OjmpxcDAwIBeOOi/KxvL4gihizOoQmPr318ldY9ayW+/6mHiU1SP+F3r3yFu1wt6/399RAFLr72N2Pj4cQmTcFED7b776/fR+pcfAZB0xX1Y0ueFHD+SkyKAonjp/fgVej5+2ffQRmJO/wqRRRfQ2D7AzqpWSiua2VvbGrIAGAyQOztenVJYmK63qE3GvAENu92uO0SGW0THsuP1Hye8s6qV9u7QHHlclJVleb4Ohfw0oiIsU5b/H2/UIDo6GofDMawYCMZ/UNZEowYDTg/7D7Tr0xfDdXpoEyyLfYWIaYmRAX/30r4oCJ8OTmoxAIEe9f6FhP5fQmPJ1cPgF+qu99YTv1V16bNe/hBxKSls/dOvyerYCvj6++d9lmUXfUkXERPZtYc73nmsloY/3AFA0ld+iGVG7rDHhxMW7r5uml97lIHaHep7ImKI++wt2GYXhhzvcHnZW9fOjsoWtpc30RqmaC8hxkqRb4e9LDcVu9U04Wp+m82GyWTSJztOVpufoigcauxlZ1ULO6vbqKzvxKuEip28zHh1QStMJ3tmXMjuerIYKmoQ7lrjEQP+hLNlHm/UAOBYax9l1W3sqm5l7xCukhnJkT6r5HQW5SRjMRnEKlkQPgWc9GLAn+A8uvYFFLygjHbXvv+jD0n4WG0p7D79Vnr//SLpXnUWfacShfWc/2Du4sXD3tNQu/7R5vq97UdpWqeKgfQr7iZi7uIxCRtvWwNtrz6Mu6MRAGtGDsmXfAdDVMKojj/c3MeOylZKK5ooP9BGcK2ZyWSgYE4CJQVprFiQwcyUqICd6Gj/fILFQDD+i+hEdry9/S721PpqDapbw1bWJ8TYWJabQklhGkV5aUTazSckamCz2SYkBoIJjhrA+Ic5OV0eKuo79emLDc2hVskWs5EFcxN186gZyVFieiQIn1A+UWIgmOBQdrjhRMPt2qt3lBL9L7V4r1+xEOFr1WuwzGHBNXeSmJY6oV3/aKIG7s4mWv7wXQASL76NqLwVoxY2/eUf0fXP36G41QUvctFZJH7mOsw2+7jSGb0DbvbUtlNa0UJpRRNdvaELaWpChD5vYPH8FMxGwu56gxlJDIT7HIfa8Y62psHrVSvrtQ6FqsOdIf34RqOB/Mx4fUGbOyMu4O9qKqIGwX+fU+GhMNnDnFo6BnxFiG3sqW2j3xl6rykJERTlpVBSkM7inGQ9oiRWyYJw8vOJFgP++Jvg+HsRDFfhf2DvPmzvPKCfw6tAQ8ZZFF12DSZz4LFDFSEOx2hy/Z7eDpp/cysAcRd+i4i8lcDwhkVup4OODc/TV/q270JmYs+6hshFZ+rXnmg6Q1Gg7mgPO6ta2F7eTPXhjpD3WMxGFmUn6bUGaYmRQ+6wrVYrFouF3t7QHeZoP0f/qMF4evJ7+lzsrlVb7nZWt9LVG7ojT4y16RMDl+WlEmGbuqhBdHQ0Ho8n4O9rqq41ma2Sbo+XqkOdeq3BwWM9Ie/RIkpaaiYzTQYsCcLJzKdGDPjjH2LWFtBwRYhVO0sxvfET/TiHYqIxIgdL1hLmlqzSCwph6CLEiRQRer1eXL1dHHnsegBiz72ByAVrhj2egW6aX3mYgfp9AJhiEon/3H+GLTwc6fqaKBjN/Xf3uSmrbqW0ooUdlU30DYTuzmemROkeAAvmJWM0DC5uJpNp3GLAn6Gq68faCeH1Khw41q23LlYf7iL4EzAZDeT7UiQlBWnMyYid1KiBf83AUC2ZU1HXMNkGS+3dDn0s8+6aNnrD/G0kxNj0qMHSvFQi/QYsgVglC8KJ5lMpBoLR5hj474hNJhNtbW00/+EOoujX5wxoeBVoMqXhSFtA2qIVZBYUBHxZhUtHhJt/EA7ty9hoNGJUvBz42RUAJHzmOiIWnz3kTtd5tJqO1x/F26u2O9oyF5B26W2Yo+OnPJ3hj8erUH24ix1VrZSWN3HwWOgQnQibicU5ySwvTKekII3EWDsw2CEyWX924XryxxM16O5zsbum1VdrEN77X5sYuNy3oAUXVo71mYYrIJwKX4OhGEvR40h4vQrVDV369MXahlCRZTQayJ0d5+tQULtXFLFKFoQTyrQQA/5oi8U777zD7bffzm9+8xsWLVhA7Y5Susq3EdtRTjyhi1uXEkVb7Hyi5y8ju2RlgCfBRJwQFUWh8ZFrAIWEs68hYeVFIcd7vV76d79P1/vPgFf9Yo4svpCY076MwTh8OmM0RYyjSWcMR1uXk53VreyoaKasugVHmHzyvBmxvh12OvMzp8bwaLjhSmONGtQe6dZbF8MtaCaTgcKsRN2oJzM9ZsxRg9F2ExzPqAFMrhDp6tUGLKldCl1hRFZslMU3YEkt6IyNsgaIa7FKFoSpZ9qJAY3S0lL27dvHl7/8ZX3x1RbOY3V1HNn5MaaG3aS6j2AKGinsUow0WjNh5kJmF68mLXO2/tp4dt2Nj30Dxe0k+tTLiDnl4kBh4XHR8tZv6Nn1vnp+i43Yz9xARN4pYZ9rort+TdiMdRy0htujUF7fqbYu7m/iaGtoWiA6wsKy3GRKCtMpDuMcOFn4F9CFmxo4WhHS1etkV7Xm/d9KT3/oPabE2ynKV2sNls5PxTaKqMF4WwtHY/88WUymENFSM1pKoepQV9g20OyZcZQUpFGUl0runETwmUdJ+6IgTB3TVgyEw/9LVRMHfV1d+kjh5J5qIg2hdq4tJNCTVEBiYQnzlizFbLHor42mCLHxiZtRBnqIOuViYlZ/ST/W09VCx98fxdWoTkm0JGaQ+sU7MCXOmNQixqk63mAw0NrlYlt5E9vLm9hT04rb4w16j+ocWJKfyvIFGczzGR6NNcw/EpM1ktnrVahp6NJbF2uPhEaRzCYDhXMT9cLKmSnRYdskJ+ozACcmahAsRPyF3Fi+TrQ2UK1Loa079N9WVISZJfNTKPENWEqIsQV8hv7PLQjC+Jl2YqC8vJxf/vKXbN++HbfbzaJFi/j2t7/NihUrAt4XrgjR6/FwcM8eWvZuJqJ5PylKa8j5+xQrzZHZ2OYuYd7yVcQmJuqvDVWEePhXN+HpaSOy+AJi11wJqDbFHW/+GmVArdS2zSsi4cKbsUTGjCsdARMf7DSW441GIzabDUVRcDgc6v+6vOyr62BHZTPby5vCTinUDY8K01nml5cfS5h/NAwXNRjLotbZ49TTCUMVz6UlRPiiBuksnp+MzWLSnRgn02cAJnexHolw0yvH2yqpKAqHmnp1YVBRH94qOSsjRu/2KJibhMFvwJJEDQRh/EwrMVBfX8+ll17KvHnz+I//+A/sdjtPP/00H3zwAc899xxLliwZ8thwRYitR45yqPRjPPU7SXPUYzEEfvl5FQONpnRcGQvIWHwKM3NzwxYhHvnNf+JuP0ZM0XnEn/N1Oj9+la5NL6j9fRiIXv0FolZchMEweOxQrYf+HQLDMdzxEy1CBHVR8ng8OJ2hXgUah5tVn/zt5U2UH2zHG+R4ZDIayM9KYLlvhz0rNXCHPVl/upO1qHk8XqobuvSRzAfCtNxZzEYWzEukJD+N5QvSyUiKChs1mKznOlmiBmNJywAYTDZ2VjayfX8jZdWtNHeECketSLXYFzVIiY8IEKbSvigIo2daiYE777yTt99+m/fee49E347d6XRy7rnnkpWVxbp160Z1nnCeBs7+AWp3bKW7opS4jnLiDKG58g4lmo64XGLzisguXoEtIgKAlj99H3fLISILTwePk76KzQAY7VEkfPYWrHMWnVS7/uGO9ze4GcvxfQ4Pu2va2FGpGh51hnEOTIm3+wyPMlg8Pxmr2Tglhj2Ttbtu73aoDn5VbeyuaaPPERo1yEjy2fsWDtr7+i+gk+2G+EmJGkRFReFyuXA6nSiKwlE/q+R9BzpwhbFKnpkSRXF+KsUFaSycl4zZzyrZYDBgtVpFGAjCEEwbMaAoCsuXL2fFihU8/vjjAa898MAD/OlPf2Lz5s3ExsaO+bzB6QRFUThSXcXRss1Yju4h1X00pHXRqZhotM3BOGsRMztKoe0QBmuEPm3QkjKHlC/eji0xY1J37VN1vMFgwGazYTAY9LD3RAyPDhzr8QmDZqoOdYS8x2I2snBeIssL03XDo6lY2CZrd+32eKk+3KX7GhxsDI0aWC1GFs5Lotg3ZjotMfJTEzUYazGnvxgIxunysP9Ah26VfLQ11NXSpn2WBWrUICMpSqIGgjAM00YMNDQ0sHbtWm666Sa+853vBLz24osv8oMf/IDnnnuOkpKSCV3H3/JVUdTBSj3t7dRt+5iB2p2k9NUQYRg6dA5gy19N/DnXYbDYgNEVIQ7HVBcRhqsPmMzrd/e5KatpY0dFMzsqmsLm5WemRFGUl8qKBYOGR1OxsE1W211bl4PyQz1s3XeMXVUtYe19Z/iGAi1fkM6i7GRMxsApj5PJ8YwajKYFdDgxEExjWz+7ajSr5HYcrtDPMi1RtdEuzletkq0Wo5geCYIf00YM7Nq1i8suu4zvfe97XHvttQGvrV+/nm9961s8+uijnHfeeZN2zeB+f6/Xi8ft5sCuMtr2bSWqZT9JtPu9H/6vbzk7TYtYOj+ForxkluQkERUx2J0wUSfEyT5eW9wVRcHpdI4r6uBf5zDS8aqpTbfauljRxMGjodX8dqtmeKTWGiTG2idkDjQUE7X41Ra8vr4BKg916oWIh5pCU0w2i2r9XFyQxvLCDFITIqY0ajBZhYGjIZxxFKgzLxwOx5iezeX2UlnfoVslh/ssLWYjhVkJFPnGMmu1KNrfhpgeCdORaSMGtm3bxle/+lXuuecerrzyyoDXNmzYwI033sjPfvYzLr744im7B//dsPYF13K4gaZNfyOqaTfv9C7kvYHAscPaIJ1leckU5SYzMyUq4EtqIk6I4Y4fy67darViNpv1nOzxbl0EaO92srOqldLKFsqqmsMaHmVlxOjDlfKzkkCZmkV0qKjBUCJkqN1va+eA3rq4p7adgTDPFBgJSfrURQ1sNpv+/8czpEqjtXOAXTXqPIrdtW30O0I/y+R4uzrFsiCdpbkpAQOWQKIGwvRg2oiB3bt386UvfYnvf//7XHPNNQGv/fOf/+SWW27hscce49xzzz0u9xO2CNHlZe+BDkorWthe3khbV2jfdWpCBEV5ySzLTaYwKwGrZdCZ7XgVEWrFWEajEafTqS/aJ7qI0e1RqNAMj8qbONIS3vBoaW4yywvSKS6YOsOj4JHMQMB1vF7vqELhbreXivoOdfLiEKOEbVYTi/WBURkkx9sD8v+fxKiB5sHg9XonxW4aBus2dlWrn+WBMFElk9FA3px43So5KyNmsLVYrJKFTzHTRgwcO3aMM844I2zNwJ///GfuvfdeXnjhBZYtW3bc7y18EaLaeqcKgyYqwxTR2awmFs1L1MWB5v8PU1dEqH0hDlUfMNnX1xaf8Rzf2NbPjirVJnn3EIZHObPiKMlPY8WCDObOiIUpskn2L6DTnsVgUKvdBwZC2+aGormjn7KqNnZWtbK3rg2HK/QeZ6dFU+zzaiicl4TRwCcuahDOkGmoIVXjfbbOHie7atRuj101bfT0h/o9xEdbWZaXQnF+GkX5aURHWAIEvDaWWcSB8Eln2ogBgJUrV7J06VKefPLJgJ/fe++9vPTSS2zevJmoqKgTdHeDhPM06O53s6u6je3lzeyobKY/TJva3BkxFOWqtQbzZsRiNA6dThhPON8/Nz7W40901MDh8rLvQIfPJrkxrOFRfLRVHURUmOEbXzx1hkcmk0lvdfMXg2MRIS63l/KDvqhBVWvYqnqtF1/zNUiM/WREDUbjzqh9jv6jrcdbR+E/j6KsupWaMFMsNbfM4jy1fXH+7AQUsUoWPiVMKzFwzz338PLLL/Puu++SkpICQF9fH+eccw5Lly4NaTk8GQiXTvB6ofJwF6UVLWzb3xg2HB4XZWVpbjLFecksyk4i0m7WXxtPEaHFYsFiseByuXC73ce9dXEyjwdoaOlnZ2UL2yua2X+gLbzh0Zx4SgrSWbEg0PBotNcYCS1NoIXCJ7rbbWzr9/katLK3rh1nmF78OenRvuFKGRTMTcRoYEoED0wsajBWq+ahoi/+BZ1j+arr7nOxp1atNSirbqOzNzSVExNpYWluit6lEBdtDfh3Ku2LwieJaSUGGhsbueiii5g1axa33norFouF3/72t5SVlfHiiy+Sk5Nzom9xRPyFgRZqbmwf0Hvy99S04gle2EwGCuYkUJSXTFFeMhlJUUGvD1+EaLPZQuoDhjv+RLU+jrf1st/hYXdtOzsqmimtaKajJ7RWQxtEtKIwncXzUybF8ChczUC43e54dvJOl4f9vqhBWVUrx9r6Q94TaTezJCdZnSZZmE5CjO2kiRpMdG5D8OcIoTUbo8XrVahv7NF9DSrrO0MGLAHMmxmrWyXnz0kEsUoWPkFMKzEAUFNTw0MPPcSWLVtQFIWlS5dy2223sWjRohN9a2PGv8ddW8CdbthT28b2ihZKy5vCLmyq651aZ1AwJwGzebBSOlw4Hhh1Dniy0gHjnZo40aiBosDBxl5VXJU3UXW4g+BL6pbCBWmsKMwgPWl8hkcjFRAOlSMfz07+WGuf3ro4lINfQNfFnEQMUxg1GM6EyO12Ex0dzcDAwKTMbQgXNRip02M4+gbc7K1rZ2eVOsWyNUyhrya0igvU9kX/9IxEDYSTkWknBj6tDFWEeLCxVy9CrGnoDDkuwqZWohflpbA0N4n46EGjI6vVqnsInKhw/olsnQTo6XdTVt3Gjko1atAbpshsRnKkbpO8MDuwYG+4a4zFWEd7lnCV9WNNXTicHvYdaKesuo2dVS00tYfWT0TZzSyZPxg1iI+2jetaoyFc1ABUITJUNGqi15uIP4Q/iqLQ0Nyn1xqUHww/YCkzLZqi/FSK89NYMC8Zk5EAq2StEFEQThQiBj6lhCtC7Ox1UeYrQiyrag7pX1dnycdSkp/GKYtmMCctKmBnNtGFNVzUQLu/41FEONHjFQWqDnexs6qF7eXNHDjaFfIe1fAoSbdJ1gyPtMXG/xpjFQP+TNZIZkVRONba72tdbGX/gfawi9m8GbEUF6SyvCCd3DmJGFCmNGoQGRmph9en2tfAX4hMxFUSYMDpYf+Bdt0nIpzQ0lpBi/NVoZWaIAOWhBOPiIFpQLgiRLdHoeLQYBFiY1toJXpCjI1luWqdwaJ5idht4YsQT0Q4fzKOn8jUR1ANj8qq2yitCC+uAOakx1BSMBh6x28Rtdvt4xYDwYwUdh/tP/MBp4d9vhD4zqrWsF0XwV4NsVHWSY8axMTE0N/fH9DbP5W+BhpDRQ1GE+kJh5aeKatuY98QRZ0zkqMoykuhpDCdhdnqsCoxPRKONyIGphnh0gkAe6sb2Hegh4rDfewLU11vNhlYMDdRd0JMS4wMeP1Eh/P96wyCiwg1ATQcE40aeLxQXt+h1xqEMweKijCzdH4KywtVQ5vYKKta5+ELhU/WP8XJjBocaenThUH5wY6Q4lQ1mhSn1xrMn52Av1fDeBdrTQwERx2GEz2Tnb6AyZtFAWpRZ0V9p15r0NASKsC1AVxFvrRTRlKkWCULxwURA9McRVE4duwYn/3sZ7nooou444479HHCpRXNbC9vprsvdOeq2uGqwiA3Mx6zafgixOMZzj8Zog6N7WroXevwCC7YU3vWE9QJhYXpU2Z4BJMXNeh3qIVzZT5xEK5wLibSolr7FqZRnJ8e4PA4lsV6KDHgz2SJntEy2ZMemzv62eWboTCU7XRqQgTL8lJYXqB2sdiCBixZLBa9W0IQJoKIAQGHw8FLL73ERRddREREREB3AhioOaIOBtq2vylsnjzKbmZxThLFeSksmZ9EbJRVf+1kCOef6KiD0+1lX50aNdhW3kRLR2ibX5xmeFSQTlF+GhE2U8CCPVmEK9Ybz4KmFs71ssPXulhR3xk2aqA5PJYUppMzK57RRg1GIwaCORFRg/H6KATjdnv1YVW7qtvCjrjWWoSL89UBXLPTovWR4WKVLEwUEQPCkPgvmNoXaXuPS93x+ooQg3Og6o43TndCzPR9YWlMRRHiJynqYDQaaWx3sHV/I9v3N4VNyWj++JpN8uy0wal6UzFcKXhBG08YfLDdroWyqjbaukOjBnFRVr+oQRpREZYhF8/xiAF/ToaowUSu197loMw3lnlXTRt9YcZ2J8XaWZafSnFeCkvz0oiym8UqWRg3IgamOR9++CGPPfYY+/btw2azkZOTwze/+U3OOOOMgPcNVYS4/2AnpRXNbCtvork9dMebFGenKDeZZXnJLJybiM06GNI8GYoQj2fUwd/FUevSGHB61ZRMZQulFU10hFlEk+Psek5+yfwUrL5Q8WRX8g8VBh9ry52iKBxq7GWnz9cgnEmPwQC5mfHqcxWkM29mPP7FlREREfT19U3aov1Jjhp4PF5qGgatkuuOdIdYJRuNBnJnx1NckEpJfhrzZsaLVbIwJkQMTGPee+89br75ZtasWcPXvvY1FEVh3bp1fPjhhzzyyCNccMEFYY8bqgjxSOuAnk6oONhG0IZ3sDjKV2uQHB8R8PqJLkKcyqiD9ppm5xwOzRdCs0muOtQe1vCocG4CywvSWbFg/IZHo2GsI5mHorffxZ7adt30qKMntAZFmwtRUpDOMt9AII/Ho39ek91OOFTUYCpaJSd70mNXr5NdNW3s9aWeusJYJat25CmUFKSxLC+V2CixShaGR8TANObzn/88TqeTv//971gsFgD6+/s588wzyc7O5vnnnx/VecJ5GvQ5POyqafcVITaFNevJTIv2OSGmkDs7LmCw0ifdyTBc1GE8hke7atoorVCjBuE+w4zkSHVC4YJ0FmUnYzIapiQUPpxRz1hSF4qicPBYj96HX3moM0TwGI0GCrISfeIgjbkz4kKEyGRyvKMGk3U9u92OosD+2ia9fbHqcOjn6d/xUVyQRm5mIkjUQAhCxMA0RVEU3nrrLRITE1m5cmXAa1/+8pdpaWnhvffeG9d5g9MJigLVDd2U+qIGhxpD58jHRFpYkqM6IS6Zn0R0hEV/7ZPqZGgwGLDZbHqRl/9Y5vEYHlU3dLGjspXSiibqjoQWcmpmNprhUVKcfUqiBpNp79vT72JPTZtPHIQfCJQQY9OFwbK8NCLt5imLhhzvqMFErme32zEYDPT3D6bnenxRmF2+lEJ7d+jnGR1h0d0li/PTiPebSSFRg+mLiAEhAJfLxWmnnUZBQQHr1q2b8Pn8hYFmvdrS6WBnVSvby5vZXdMS0nZnNBrIy4xjWW4KxXnJzEyJOqmKEMOJE/86A223ZbPZUBQFh8MRcM7JEDcdvkLOHZXN7KwcyvBInVC4YkFGwOCcqYwa+Edhxho18HoVDhzrpqy6jd017VTUh6ZJ/IsrlxemMycjdlpEDcIVj0ZERKAoCgMDocZQMFi7odUahOv4gMGZFMX56QGTLMUqeXohYkAI4Je//CVPPfUUjz32GOeee+6kntu/Ul0TBy6Pwr4DviLE/U20dYV+saXE2ynKU7sTCrMSsFoGixC1SYUnqggRwosTUMdCOxyhBYHhjp9I66LHCxX1neyoVGdQNDSHtqVpswa0qIGWQx7PoJ7hGGmU8Gh21gaDgejoaBpbOthZ2czOqjZ2VbfS1ReaJkmKtVGUr04KXJqbSoRt+kQNLBbLsGIgGN0nolodzRzOXTLCprYJq1GDdJLjZcDSdEHEgKDzwgsvcO+993LppZfy05/+dEqvNVQR4qHmPnZUtrJtf1PYAjqbxcii7CR96mJirD3g9clKB4x3HLLVasVsNqMoii4MjnetQlP7ADurWiitaAkbeTEA2bNi9d11zuwEFGXsO/nRoD3LWEYya2LAv5vA61WoO9qtj2SuaegKqagf7MNX3fsy02MChMinJWrgL3y1ep2x/t40d0nN9Gj/gQ5cntDjZ6VGUZyXSnFBOguzk/SaFLFK/vQhYkAA4Fe/+hWPPfYYn//85/mf//kfzGbzyAdNIv47Hu2LpqffTVlNO6XlzeyobArba52VEUNRbjJFeSlkz4yd1CLE0aQD/LFarQEdA1MVdRiLOHG5FfYdaNcNj8K1f8ZFWVWXu0LV8ChyigyPRjuS2Wg0EhUVNWxroVZRr1r7ttETprgyOc5OUb76XEvnp2KzBj7XJz1qEBkZqf/3eCIw/jicHvYf7FBTClWtHGsL/TuxWYws1AYsFaTrnSzavyUxPfpkI2JA4J577uGFF17g+uuv5/bbbz/h/5jDFSF6Fag63K2nE8KFwmOjLCzLVbsTluQkEmmf2iJE/4VZ2x06HI4hz3WiOyQAjrT2s9NXhLivri0kh6zWa8RTUpDGKT7DI/+c/FTYJPvvdLXfhdVqpbe3d1TX83oVahq69NbF2iOhBapmk4HCuYm6X8Os1OMTNQh+tuEiImMlMlJdjB0OR9gIzHjqNjQa29Sowc7qVvbVteNwhR6fnhSpt4MuyknGahar5E8yIgamOQ8//DBPPfUU3//+97n66qtP9O2EEC6doIXCd1S2sr2iib21rSFjd01GA/lz4vVagxnJUYGvn4RFiMe7Q2LApRoeabUG4QyPkuLsFOelsHxBBkun0PBoMh0DO3ucetHcruo2esNElFITIlT750LN89807gFEE3m2iXyOUVFRuN3ukLqUoSIw/sJnLM/ncnupqO/Qaw0OhxnCpflfFOep1tMzU6J0ESlRg08GIgamMevXr+db3/oWt99+OzfccMOJvp1R4b9L1XKmTrfCntp2tvs8DcItaumJ6pf/srxkCuckYDYHDlYaTxGif8eA2+0+oemAiYoTRYFDTb0+J8RmKsNU8muTK0sKVZvkjKSoKcmRa2kCl8sVUlQ51hC/5t63s6qFndVtHDgaGjWwmI0smJtIcYHqhjgzNSZgF3+yRg20z2ikEdiTHTVo7RzQowZ7atvod4R+Pinxdpb5ogZL5qcQYROr5JMdEQPTFLfbzfnnn4+iKDz88MNh/1Hm5eVhtVrDHH1yEFx1r37RQH2juqhtL2+i+nBnyHERNlNAEWJ8tC3g9XA7bv9aAVDd+SwW1SUv+Ms43MI8lu6AE22YBNA74KGsulUfyRwuJ5+RFElRfiorJtnwSBMDWppgMqMGHd0OyqrVWoPdNW30OUJ35YPh7zQWz0/Vw98nW9RgtGIg+HqT5REB4PZ4qT7cpdcaHDgWZsCS0UC+r7Cz2GcipT2joihienSSIGJgmnL48GHOPvvsYd/z7rvvMmvWrON0RxPHfyetLXjdfW7V06Bi6H787JmxLMtNpjgvhayMmBGLELUvMP8ZA0NxMqQDJiNqUNPQzY4qVWANZXi0KDuJ5QVpLC/M0FvSxlOsFywGwn0ekzGS2ePxUnW4S+9QCDcpULPQLilQi+ZmpEQHRAxOZNQgOjoah8Mx4t/gcAznLDme5+vodrCrRu1Q2F3TRk9/qJhJiLGpHiIFaRTlpRIVYRGr5JMAEQPCp5LgIkSv14tXMVBxqJPSiha27W/kWGtfyHHx0VaW5SVTlJvCouxEImyDXRX+joLa//+kpQMmy/CorLqV0gp1cmW4MHFm2qDhUUHW2AyPTCYTkZGRoyognEzf/7Yuh77D3V3TRn8Y4ZiRHElRXirLC9JYlJOC5ThEDYbqvrDb7RMWA8HX8/8sJzLFEtTCztojXXqtQbh2UIMBcmfHU5SnekVoba7a36JEDY4fIgaETz1DeRo0tjv04rlwlfVmk4HCrARfEWIKc2YkYDAY9I6BT8PCPtFn8Hih8tCg4dHhptDddaTdzFKf4VFJQTpx0dZhFxhNDPT09Ix5cZ2skcxuj5eqQ53srFI7FA41hRbN+bfaLS9MJz2ohuJ4RA3G6zMwGoaKGoy3lqK7z8VuX9SgrLqVrt5QERMTaVGjBvlpFBekERtlDfj3IFGDqUPEgDDt0L5A/RfMAaeX3bWDg5XCTYKblRrN0vlqrUFeZjxmU2AR4mTk+bXjx7uwT8TJ0L+QUjOS8a+XGI3hUXPHADur1KjB7uoWnO7QY7JnxlJSkMaKIMMj7V4nIgaCnyfcSObxLGatnQN66+Ke2vaw6aaZKVH6DndRTjJmk3FKXB5h0JjJ4/GECMHJ9ofQGGqK5XijBvWNPT6fiFYqD3WFHXM9b0as+pkWppOXmYBBrJKnDBEDwrQmnKcBGKg72q2mE4bIkUfazb7BSsksnZ9MbFRgoeVoihCH49MQNXC5FfYd7GBHRQvbyxtpCmN4FBtloSg3lZJCdWhOlG90sdlsHrXPwGiZrMXM7Wu12+krRGwI02rnX0NRUpBGauLkRw1iYmLo7+/XO1mm2tfAn8kUWgB9A2721Lbp0xfbukI7gqLsZhbPT6bEFzVIjBWr5MlExIAg+OH/5fmXv/yFffv28d3/vpvt5U1sL29iZ1ULTlfgF53BAPNnxbHM54Q4Jz064Avp07CwT/QZAI61DfjSCc3sq2sd1vBoxYIMMqfQ8GgyC+eaO/opq1IXsj21bWENemanRvlmKKSzYF4yZpNhwlEDfzHgz0g+A1MVNQhOz4y3gFRRFBqae9np+0wr6jtCfERAHcSlRmLSKZibhMlIwN+JWCWPDREDgjAEl112GWvWrOGGG24YrOD3Qnn9YBFiuN1uUqxNL0JcOC8Rm3XQhe3TsLBPxjM4XAq7a1r1WoP2MN4QibE23TFwaW4qNotxSha04QrnxrpYu9xeyg92+EYyt3KkJbRIVW1tTaakINXXeRER8Fyj+fzCzW8YipMhajDeok6AAYebvQc62OVL0zR3hA5YsltNLMpJojhPrd9ISYgI+HsW06ORETEgCKNgqCLEo20D7PClE8oPtBE8IVY1tEnQnRBT4iMCXj8ZFnb/c5yIlIZmeKSOtW4KO7pYsxMuyU/jlIUZZCRHTdmCFjySGRjzYq3R1N5Pma8IcW9de9gaCq3zYnlhBgVzE0P8GsJ9fmMRA8HHfdKjBsfa1M+0rLqNfQfaQwZxgVq/sSxXdZhcmK1GYmAwciBWyaGIGBCEceDf4qUtDn0OD7trBosQwxn1zE6NpigvmaK8ZObPisM0yUWI4Rb24+lJMN6ogebm6PV6aevsY1dNGzsqmimtaKI7zOji9MQIivPTWLFg8Mt+qmySg016xrt4Ol2+YUA+cRBuGFCEzcSSnGRKClVfg8RYe1i3wNEMcxoN4aIGE3EnHInJbAWFwc9Um74YLhJjMIDNYuKn3zqNnFnxAc8opkeDiBgQhCHYunUrX/va11i+fDl/+tOfhnxfuCJERYHaoz1sL1eFwcFjoTa4URFqy11RrlqEGB1pCXh9uhQhmkwmrFYrXq83xGdfwUBNQxc7K1vYXtFMbUOoo6TW4re8IJ3lC9JJCQq7T+ZXnPYsk2Hte6y1z9ehMPQONysjhqI81eUxf04iBsOguZbdbp/UIssTETXwF1qTMQa6qb1fFwbB9RuLs5O569plAa6P/g6M0930SMSAIITB6XRy0UUXUVdXx4oVK8KKAf9dmka4dILBYKCty+lz8GtmV3VLyBe/wQB5mfEU5SazLC+F2alRJ20RotaCONaUxlD3YDSqLXijsdXt7HVRVtVKaWULOyub6Q9jJzxbMzzyhd2Nvna0yZ4zMJmLp9PlYd+BDp+vQQtN7aF58Si7mSXzkykuSGN5QToJsYEuj5O9i59M4TMaJnOgk6IovLC+htf/Xa//7NrPFXL+ihkB9z1cIel0ixqIGBCEMDzyyCP89a9/JSMjg8jIyAAxoCgKTqcTm802zBkG3+u/Q1UUBZdHYV9dB6WVahFia2foF39KvF3vTlgwNwGr5eQqQgx3D/5Ri9Hcg9VqxWw2oyjKuA2PqjTDo4omDoWxE1ZbQH2GR4VpxEfbpjRqMBmFeoqicKy1n52+grnyAx24PGH8GmbF6XnxvDmJGFCmbBd/MkUNRvo8FUXhL+/W8toHBwN+/t0riyjJSxj2dz5U++l0iBqIGBCEICorK/nCF77AfffdxyuvvAIQIAb6+/u5+uqrMZvN/OpXvyIpKSnkHB7PoBmMhn8IVNtlATS09FNa0TJk8ZzVYmTRvER16mJuMklx9oDXp2ph1xb1qRAXVqsVk8mku+dNRuRDMzzaUaFGX4YyPNJskuf7Wd8er6jBeHa5A04P++raddOjcNX00REWlsxPoqRg0OVxKnfxJ2vUIFgIpCVG0Oirzbjr6ytYmBUzagE4nJfCp9EqWcSAIPjh9Xq58sorsVgs/OlPf+JrX/saQEia4Fe/+hW/+tWv+Otf/8rixYv1Lwen0znqLwj/xbK/vx+DwYDLa2ZXTSvby5vZUdFE70DoopGVHqO2LuYlkzMzLuxgpfEWIcLUdzho/d9OpzPs+Sajw8HlUdh/oIMdlWqnR1NbaGFZbJSFpbkprChM1w2PpsoxcKiowVhz44qicKSlj1017eyuaWd3bQueoB58zblP61CYn5nwqY0a+H+ebrebP721n5c31AFqR8HXL8zlx0/vAOBH31xFdkbEcKcdlqG6IrS/lU961EDEgCD48dxzz/E///M/vPrqq8ybN29IMVBRUcHFF1/MDTfcwHe/+11A/aJ+5JFHWLduHZdffjm33347Fosl5BrB7Nmzh0ceeYStW7dy3333ce6556phSQxUH+6mtKKZbUP4/qte7moR4pL5SUTaT/4ixOCCy6m+Bxg0PCqtaGZvbajhkVazUVKg9qn7j9md7J3uZIxkNpvNRERE0NzSzt66dt3XoKUz1K8hJtLC0lzNuS+d2KhPX9TAZDLx539W8/KGWgAy02K494YVHGnu5gdPbQHgoW+fzszEkf89joZwXRHbt2/nzTffpKSkhFNOOYX4+PhPlOmRiAFB8HHs2DEuvPBCvv71r3PrrbcChBUDWuj8yiuvxGAw8Je//IWGhgaefPJJXnzxRVauXMn3vvc98vLyRrzmq6++ygMPPEBkZCT33nsvq1atwmIZHOnqX4TY0ulgR2Ur28qb2FPTijsoj2wyGsibE6+2LuamMCM58qQpQvSf+KilUE6k4dGe2jZKK1soLW8Ma32bGGtTq/gL01maN3WGRzC+kcyaGOjuHuxSCXbuKz/YEVb05MyKozhPNXPKmZ0AUxw1GK41czIiMMHFgrNTo7nvhhUkxkWyp6aNHzz1IQCPffdMUuLMky5GQP0dbtu2jR/96EfU19djsVhYtmwZa9as4fTTTycvL++kjxiIGBAEHzfffDN1dXW89tprWK3qrIGhIgMADz/8MC+88AI//vGPeeWVV3j//ff55je/yTe+8Q19iMxQxiYej4cPPviAb33rW6SkpPDHP/6RrKwsAL2gTkNRQgcrOd0Ke2rbKa1sYfv+xrAOfmmJERT5ihALshKwmAd3KZNVhDiawUiaEABwOBwBPz/RHQ4A9U297KxsZXtFE5UH20OMo8wmAwVZiZQUpHLKwhlkJEVOmU3yaKMG4cRAMP0ON3tqfVGDqlbawvyNxEapUwJLCtSoQbRvNsRYix5Hy2RHDRRF4c//rOHvH2pCIIq7rlmmzwrZXtHCL/68C4DffO9sMpKjJ12MBHP48GE2b97MBx98wLZt2+jv7yc1NZXTTz+d008/ndWrVxMXFzep15wMRAwIAvDOO+/wn//5nzz11FOUlJToP7/hhhsA+O1vf4vFYtFFAkBdXR0XXHABUVFRmEwmfvCDH3DBBRcMmxrQBMJHH33E9773PUwmE3fffTdnnHHGsOJBYyhPg0PNfXoRYtWhjpDj7L7BOUV5ySzLTSYhJrATYiqKELWohvalPzAQWvh2PO5hLOKiz+FhV3UbpZXNlJY3090X2u6YlhhBcV4qKxZmsGgKDY9g6KiBlqPu6QlNHYVDURTd5bGsqpWK+s6wUwJzZ8frvgbzZsYDypQ920SjBiMJAYAPdh3j8b/tA+CZe87FZlYmVYyM9HwWi4Xt27ezadMmNm3aRFVVFUajkSVLlvCTn/yE7OzsSbveRBExIAjAnXfeycsvvzzse2655RZuueUWDAYDR48e5dlnn+X3v/896enp3HnnnZx//vl6IeFIfPOb32TDhg389Kc/5dJLL9V/3tPTw9GjR5k/f37A+/0XVv+ogb8w0L7Iuvs9lFW1sr2imZ2VTfQ7QhfSeTNidIvkuRmxU1KE6N+7Pd4ixBNZCKlgoLahix1VrZSWN1ETxvBI7fRIoqQwjRWFGbon/nhNc4YjXJ7afxc/lm4IbUrgTp8bYkdPqOiJi7ZSlKdGDYry04mym0+aqIGiKDz/zxreGEYIALy7rYHf/70CgL/8+AI87sHoSDgx4h/xmWjUQHOJ9OfIkSN6xOC6664jPz9/3OefbEQMCAJw4MABWlpaQn7+4x//GIAf/OAHpKWlMXv2bCoqKvjxj3/Mvn37yM3Npaqqivvuu4/PfvazISH+cPzrX//ipptuYuXKlTz11FO6Da/RaGTr1q1cffXVXHjhhdx99920tLSQlJREfHz8iM+gfZH5h+k9Xqg81EVpZTPb9jdxtCV03G5ctFU1O8pNZnFOEhE2c8DrQxUhDrfYmc1mLBaLvnBMtABwqjscRnMPXb0udlarNsk7hjI8So3SbZIL5iZNmeGR1WrFarXicrkCogb+u/jRfrUrikJ9Y48uDKoOdYVEDbSJksW+yYvzZsaFXG8yGS5q4HK5eOatihGFAMAbH9bz3D+qMRjgb//zWfr7Qy2gB59x6JkUY0k7+Z8vWAyczIgYEIRhCK4Z2Lp1K9/5znfo6OjggQceYO3atVx44YWUlJTwy1/+csjzaCKhvb2dn/3sZ7z55pvcfffdfPGLXwww3fm///s/7r33Xi688EKOHTuG1+uloqKCjIwMrrjiCr7whS+EmB1pBXnBdQbhnBCb2h1qnUF5U9iqepPJQGGWb7BSbjLpSZEBr49mUbVYLFgsFlwuFy5X4FyByQjlnwzDmTxeqDrcpU9dPNQYmruPsJlYMl81PFpekE58zOQZHlmtViwWC729qrgbqid+PAtZT7+LPTVt7Kxupayqjc7e0KhBQoyNZVrUIC+NyOMUNTCZTDz9ZjmvbKgBYE56DHdds4zoCHPY4/62oY6X3q8jwmbm+fvPG1YM+DPcJMvRiq1PmhgI/wkKghCA0+nk0Ucf5Xe/+x1z5szhoYceYtWqVTidTpYvX86HH35IZ2fniIVB1dXVbN68mQULFrBs2TIAPfzf2dnJvn37cLvd7Nu3j0suuYTCwkJaWlr0lsfIyEguvvhi/XzasRrajtl/sdPe53a7SUs0cN6KGZy3YgYOt8Kemna2lzexvaKJzh4nHo/C7po2dte08fSbFcxIjtSdEPPnxGP2ncvlcgUs7Fo9hSZswgkB7f78q9b979NisYxqYdfEzVD3MJK48I8qjPceTEbIz4wlPzOWKz+TTXPHAGXVrZRWtKiGRy4P/Q4PH+9p5OM9jUCZ3vu/YoHa+88kGh55vd4AO2dth2uxWLDZbGMKf0dHWFi5MI2VC9PwehUOHuvRDY+qDneiKNDe7eC9bYd5b9thvYulOF9ty8zKiJ30qIF2nuf+Uc2bHx0C1LkNP75pNXHR9iGfz+FUP1e71TQm8RXu71T7TM1mM3a7fUSxNZ7ugfLycv7f//t/1NXV8eabb46qpmDLli08+uij7NmzB6PRSElJCbfddtuYUxAiBgRhGLSIwMDAAFFRUZx33nlcd911LFmyBKfTidVqZc2aNbzxxhu8//77XHLJJWHPo30xHDhwgGPHjnHJJZcwc+bMgNeam5spLS0lKiqK//iP/+DCCy/Uj4+JieHmm2/mueee08VAW1sb11xzDTNnzuTJJ5+kt7eXqKgozObQf9ZGo1EvftQWQ5PJzeJ5MWQmerjx4gLqjvboJj3aQKAjLX0caannjQ/ribCZWZKjFiEunZ9MXLQ14AvTZrPpOyiLxYLZPLhbHGqxm4yF3f8e/OsMtIU9XIfDZN9DcpyNs4tncHbxDFwehfKDPsOj/U00+gyPao90UXukixffq/b5Q6SwfIFqeBQdHTGmXacWSRqKoRYyu90eEDUYaRdvNBqYOyOGuTNiuGRNFj19LnbVqK2LZVWtdPW58HgV9tW1s6+unT+9VU5SrI1leamUFKSxLC+V6OjAhXM8UQNFUXj2nWre+lgVAnPSovne15ZiVFz09nr054uIUE2FtOtpg4rs1omNK9bEltPpDIga+IutZ599FoPBwMqVK0lLSxvzNTTBP5ZOg+3bt3PdddexatUqfv3rX+PxeHj88ce56qqreOWVV5g1a9aozyViQBBGgd1u5+abbw74mba4FhcXYzKZ2LBhA5dccsmQdQMOh4NDhw5hNBrJzMzUw/1awWFdXR21tbWsWbOGU089FVC/1M1mM4mJiaSkpBAbG0tzczMpKSns2bOHw4cP43Q6ee+993juuedobGzk9NNP5/LLL2fOnDkB96Ithv652P7+fr75zW+Sn5/Pfffdx9yMOXzhjDl09rrZ6StCLKtqxuH00O9w8/HeRj7e24jBANkz43yeBsnkZSVjNBpxOBx6/YO2MGtfliPttsMt7P5fuqOpE9BeC17YrVbrqFISkyEuLCYDi+YlsGheAlefP5/G9gF2VLZSWqGmZtwehe4+Fxt3HmHjziN6Ff/ywlDDo/HkqoMZaiGzWq1jjxpEWli9KI3Vi9SoQd3Rbn0kc01DFwrQ2uVg/dZDrN96CJPJQP6cBEryVV+DzPTYkOuNRDgh8P1rlhHjm/I53PO5verfvt2m1h2MJKJGw1BRg9LSUt5++228Xi/Z2dmceuqpnHXWWZSUlAR0IYVjy5YtPPjgg9xzzz0cPXqUX/3qV6O6l0ceeYTk5GR+/etf69dYuHAha9eu5YknnuAnP/nJqJ9LxIAgjAJtEQi36541axZf//rXeeeddzh8+PCQatxgMHDgwAGio6P1nYO2cPb397N7925cLhdFRUX67kC7XmNjIx0dHcyYMQO7XZ1NsGXLFlwuF729vWzYsIHly5fT1tbGs88+S1lZGY899hhJSUkcOnSIhIQEoqOjQ+4pISGB6667jgceeICWlhays7Nxu90kGI2cuSydM5am4fYolNd3saOyma37VWtfRYHqw51UH+7kr+/WkBRn941jTmJhdhJ2KwGL7Vh320DAQugfyteGG30SxAVAWoKd80+ZyfmnzMTpVtMwWq1BW9cAigIV9R1U1Hfw7NsVPsMjdQDR0txUoiMiJq3Cfbjwd0RExJha7YxGA9kzY8meGcsXzpxLV6+T3TVqh8Kumja6+1x4PAp7a9vYW9vG02+WkxxnVzsU9GczDRs1UBSFP71dxdubDwMwJz2a7189KARGer6ePrV7wG5Vn1Hz/5jMVkJNjNx///3cfvvtbNu2jY8++oi33nqLZ555hoiICFauXMnpp5/OmjVrmD17dsg54uPjeeGFFygsLOSxxx4b1XU7Ojr0Mev+YiMxMZFTTz2V9evXixgQhMlGM4MZittvv53bb799yNe9Xi9Wq5XDhw+jKIouBrQv9ra2Nnbu3ElSUpKe61ND+SYGBgbYvXs3Ho+H/Px8YmJicLvd7Nq1C7fbzUUXXcQdd9wBqLUNjY2NvPPOO/zf//0fbW1t7N69m4qKCvLy8rjmmms488wzA/L7JSUlOBwO3nzzTb797W/rBYB6OsHtZnF2AgvnxvG183I41jbgK0JsZv+BNrxehdbOAd7ddph3tx3GYjayYG6CXmuQ6mu3m0iOPjiU779b9xcXwxUAngziwmo2UJyXRHFeEtd/Po9DTX3sqGqhtLyZioNteBVo63Kwfuth1m89rBd0FuenccrCDGYkR+n3Nhm13yNFDfz7/kfK/cdGWTl1cTqnLk7H61WoPdKldyjUHlELLFs6B/jHlkP8Y8sh3cxJraNIZ1ZqTMBn7Ha7A4RAVno03xtGCITD4VTv2W416VGr8UZFRkNsbCxr167lrLPOwmKxcPDgQTZu3MimTZt44IEHuP/++8nKyuLSSy/lm9/8ph61y83NHfO1KisrURQl7LE5OTmsX7+eo0ePkpGRMarziRgQhAkyXNRAQwuh9/f343Q6yczMBNAL/Orr66mqqqKgoIB58+YFHNva2srOnTtJT08nJycHUAuNKioqyMrK4uqrr9YXdqvVqn8RPPXUU3z961/n6quvxuFw8NBDD3H//fczY8YMFi5cqJ8/KSmJ3NxcysrKgMFohb8bHgzmYWckR9JypIN3dz/Lk/f9hPJDvWyvaKK0vInuPhcut1dfBP74RgWzUqLUiYt5yeTNjtOvcSILAE8GcQEwOzWS2amZXHRqJn0OD7tr2nTzqO6+wILOdW/sJzUhQi9CXJSTTFRU1KgX65EYTuxoUYPRdgwYjQZyZsWRMyuOL501j84eJ7tq1L+JXdVt9A64cXsUdte0srumlXVv7Ccl3q63Li7OSeaF92oGhUBGDN//2lKixyAEQJ34CGqaYLioSHAtxWSkZ0wmE/n5+eTn53PjjTfS09PDxx9/zMaNG6mtrZ2wPXFrayugRveC0X7W2toqYkAQjhcjRQ00vF4vc+fOxeFw0NXVpQ8ycbvdVFZW0tPTw6JFi0hPTwcGhcKhQ4eorKykqKhIFxGlpaV0dnby2c9+Vn8/QHt7O0eOHEFRFK644gpuueUWQP2ib2pq4uc//znvv/8+Cxcu1MPc8fHxxMTEsH///mHTHP7dCa+//jq9vb3ERts5pTCC5fmJGC4ppOZIt144d+BoFwCHm3s53NzLax8cICrCzNKcZJblJbN0fhIxkdYJ77ZPhu4C/3vwfw7/e/A/RzgibSZOKUzhlMIUFAqpO9Kl1xpUH1YLOpva+3nro4O89dFBrBYjC+clsVw3PIqe1PY+7Vxa1EBrs/OPGoy2YyAu2srpSzI4fUkGXq9CdUOX7oZYd1SNGjR3DPD2x/W8/XE9BkD7lOfNjOPHN60mym4es2fDgF83QTCjKQqcSNQgeLGPjo7mnHPO4ZxzzhnTeYbC4VBTIOEcT7WfjeT66Y+IAUE4Dni9XiIiIkhOTubIkSPU1dVRXFwMQGdnJxs2bMDtduvDjbTdudvtpry8nM7OThYtWqSnF0pLSwFYvXp1wHVaWlrYvXs32dnZejeCw+HAZrORnJwMDH5BaNdwOBwYjUa6urpGXcn8ox/9SP+y888zz58VS/aMaC47ay5t3U6f538zu6qacbq99Pa7+ffuY/x79zE/+1u1CHF2WvSEd9uTEcqfqLiAiUcNDCjMmxHDvBkxfPHMLLp6XZT5bJJ3VjbTN+DG6fJSWtFMaUUzT728h1kpURQXpLKiMIPCeYOGR5PR3qcoSkC7qH8PvpZyGm3HgNFoIHd2HLmz4/jy2nl0dDvYpdUaVLfR53DrQiA20sKdX12MCTduN3qI3/96w3VfaK2FEb7IwHDPN5lRg9GYj00UrXYoXAuv9jOtu2I0iBgQhOOA1jGwcuVK/vrXv+o94YqikJSUxI033siyZcsoLCwEBhfqrq4udu/eTUJCgj75rKGhgd27dxMfH8+CBQsCrlNbW8vBgwe5+OKL9SiCdu2NGzcC6CkCfzEQHx9PfHw8hw8fpqCgYMTn8f+i818wtWdyuVwkxRo4qyids4rScXtg38EOSsvVccwtHf0BhXN//mc1yXF2luUlU5yXzIK5iVgtgemEoUL5Y12UJ6PDIVx3wVSKi9goC2cWzeDclVk4nC721/mKECuaqD+m7qzVCEwdr26sI8JmYnFOMisK0ykpTCchJnpUi+do8X9e/3SSNpnSvwhxpIUzPsbGmqUZrFmagcfjZVdNGw89rw4XuuSMLKIjB4cnacJVEyM2mw273T7k9QYjA2Nb6iYjajBWMVBeXs4vf/lLPvxQnbJ4xx138N///d+sWLEi7Ps1cf/Pf/6TJ598kgMHDuByucjOziYxMRGAlJSUUV9fxIAgHEdWrlxJbGwsb731FqtWrdK/MFauXMnKlSv192lph4aGBt59911mzZqlTzXctWsXDQ0NnH322aSmpurH9Pf3s2fPHrxeLwsWLNC7B7SQ4aZNm4iIiNAHMWmLt81mo7W1FbN55PGufX19PProo7z55pt0dHQwe/Zsrr76ar7yla/o79FqF8DP08DtZkl2AovnxXPthfNpaOnXnRArDrajKGpx2T+3HOafWw77QuCJqk1yXgrJcfZJC+VrjCeUH7wITrR1Mdxz+NcqaM+h7YhdLhdej5u8zFjyMmO54jPZtHY52VnZQmlFM2V+hkeb9zayea9qeDR3Rgwl+WksX5BObmYiBsbW3jccQ0UNxrqLV481kpk22PWSGDRQC8KnZIa6nsMVWDMw3ucbKWpw7NgxXn75ZRYtWsSCBQt0F8jRUl9fz1e/+lXmzZvHueeeyxtvvEFkZCTXXXcdzz33HEuWLAk5RtscvPLKK3z1q1/lu9/9Lh6Ph9dff51XXnmFqKiogO+HkRAxIAjHkcTERL70pS/x7LPPcu211+rFgh5PqKUwqP/g7733XpxOJzNmzADU2QYAp556aoD7YGtrKzt27CAtLU2vMHa5XFgsFnbt2kV3dzerV68mJSUlIIw5MDBAeXk5mZmZuhFSOLxeLzfddBN79+7l9ttvJzs7m5dffpm7774bq9UaMHBJw3/X6J9OmJ0axczkCD6/ejZ9Dq/PvU8Neff2u3wh8BZKK1rg9XIy06Ip9hUhzp8VB5z4UP7xSklo3hDhXB0VRSExxsLa4gzWFmfg9ijsP9jpa11s5FiranhUd6SbuiPduuHR0txkVhRmUJSfRkx0xKgX69Hgv4sPjhoMt4vXcLoGf182y8hmQUNFDaxWa4ADodFonLDwgfBRg+bmZp555hna2tqIiYlh5cqVnHnmmZx++umjMiB6/PHH8Xg8PPXUUzz33HMA3HXXXdx00008/PDDrFu3LuSYmJgY/Tvjjjvu0NMGOTk5vPLKKyN6GwQjYkAQjjPf/e53Wb16tb5j177sw2G1WgNcDb1eL/Pnz2fWrFm6nbHG4cOHqa2tpaioiDlz5ujnBjWUCHD66afr59G+SGpqaujr6yMzM3PYgUhvvvkmmzdv5pFHHuGCCy4AYMWKFRw5coQdO3aEFQP+hEsnuN1uTCYPqxemsmpBCl4Fahq6Ka1oYVt5I4ca1RG99Y091Df28PLGOnUxm59MUV4yS3KSiIqwfCrqBMKJC4vFon9e2sCe4Z7DbDKwaF48i+bFc/X5OTS2D/jqNgINjzbtPMqmnUf1ug2tQ2HezLiAdsITETXQdvOgToUcC/6/R6fLgzZ6w25Td/E22+TNh9Cez+12k5WVxdtvv01FRQUfffQRH3zwAT/4wQ9QFIX8/HzWrFnDmjVrWLp0aUjBn6Io/OMf/2DhwoU0NDTQ1NQEwMGDBykqKuLNN9+ktbWVTZs28f3vf5/f/OY3nHbaaYBalNjd3c23vvUtvvGNb+BwOHj00UcxmUwkJSWN6VlEDAjCccZkMun/mGHk3KLH49EXBKPRyPXXX8/1118f8B6328327dtpa2sjPz9fzydq6YZ3330XgFWrVoVc9+233wagqKho2Pt45ZVXSE9P5/zzzw/4+dNPPz3scUOhzXsPXrDzMuOYPyuGy8+ZR0uXUzfo2V3ditvjVRezsqNsKjuK0WggP1MtQlyWm8zMlKgp2/Ef7zoBo9GI0WjE6XTi9XrHXO8AquHReafM5Dyf4dGe2kHDo9bOQMOj5/9RSULMoOHRsrzJNTyCoXfxWtTA4/Gg0Ke/3zYBG2GtXgAgwmqir69PD/H7X2+yhI/RaKSgoICCggK+/vWv43a7+fe//83GjRt56aWX+M1vfkN0dDSnnnoqt956qz6m/MiRI/T29rJ161a+9KUv6ef79re/rf/3li1bAtpdNW644QZ+8Ytf0NDQwM0334zZbGbWrFl4PB6+8Y1vjOn+RQwIwklOcNRAsyj2x2w2c/rpp3Ps2DGWLl0a8L7GxkZqa2v1nmf/c7a1tbF+/XqSkpL0qMFQlJWVcdppp01JlXSwp4EWSk6JM3BOcQbnFGfgdCvsq+tge0Uz28sbaety4PUq7DvQzr4D7Tz7ThVpCREsy1PNjgqzErCYJ7cIMVydgH+Of7x1AsELuyaSnE6nftxw9Q6jNTwqyk2iKDeJb3wuj8PNfXrrYvkB1fCovduhm0eZjAYKshIoKUjTTYFG6044GoJz/1p3gsszKDhioyOxWCzj2sU7/MSAzWrWP+Pg642ntmEkDAYDiYmJfP7zn+fzn/88Xq+XPXv2sHHjRj7++GOqqqp0MaD5BXzve9/j2muvDTjP+vXr+da3voXRaOQLX/gCX/jCFwJev+GGG4iMjOSnP/2p/lwHDx7kZz/7WcBAs9EgYkAQPmEM5WmwePFiFi9erP9/rYtg/fr1+uswKBKcTif//Oc/OXLkCJdccsmwE9K6urro6uoiPT2d5557jmeeeYaGhgZSU1O56qqruOaaa4ZMdYyHoQYrLctNZOn8BL7xuVwONfWpRYj7m6g63IGiQGN7P29/fIi3Pz6EzWpicXYiy3LVqEFi7MSLEI9HnYB2XX8hEMxEox8As1IimZUSyedPne0zPGpnR2Uz28ub6Op14vGqkYQ9tYOGR0V5KaxYkM7i+alYTIEDjyaKdp7O7sHIgN06/l18QGTAFjq1ULueFqXQxMFURQ20f5+a94eG1lkULsc/kl/Ahg0bePDBB7ngggu4+OKLcblcvPLKK9x9990kJCSwZs2aUd+jiAFB+JQQXISoiYHPfvazKIqiVyR7PKpb4q5du3j66aeZMWOGXgMwFH196hf0O++8w+zZs/n+97+P1Wrl73//Ow8++CAtLS26JfJkM1QR4pz0aGanRnLxaZn09Hsoq1Y9DXZUNNPvcONweti6v5mt+5sBmDsjhqLcFIrykpk3I5aTsQhRm/wI6uJgsVgmLC5G8xyq4VEypxQmo1DIgaM9qjCoaKb6UAegGh5ppkAWs9rtsbwwjRULZpCaED1pUQP/mgGvx0lPT0/A+GBNMI2UvvA/z0ithVpRoEa4qIG/Z8NIUYOxRM+0gWXh/AK0ewrnF+B0OrnrrrtYtmwZDz30kP7zs846iy9+8Yvcf//9+kZgNIgYEIRPCUPtzOPj47nqqqv0/6/tQNatW0dtbS3f//739SmJI53b5XLx1FNP6ZXLq1atoqmpiaeffprrr79e72+eKoYqQow1ujltcRqnLkrF64Wqw11sr1Ar6huae4HBivr/+1ctcdFWls5XPQ0WZScR6edupz3v8S5CtFqteo2AJuw0gTFeX4TxRD8MKMzNiGJuRhRfOCOL7j63r9ujhR2VTfQNuHG5veyobGFHZQu/eWUvM1Oi9CLEwrlJmIzjNzxyBizi6u95PIZAAwFpgrFFrSYaNRiLGNC8AJ599lkeffRR3G43ixYt4tvf/jYtLS0B7/HnwIEDNDc3M2fOHNasWRPQ6rtixQr+8Ic/0NraOupCQhEDgvApR1sA/MXCL37xC9avX88FF1zAFVdcMaKdcnx8PCaTiQULFuhCQOPUU09l48aNVFVVccopp0zJMwxFuCJEt9tNQVY8eZmxfPXcbJo6HHrRnFZR39njZMOOI2zYcQSTyUDBnATVCTEvmYykyS9CHMpPQBMGmhDQhunAoLgIFihjqROYjKhBTKSZ0xancdriNLzKAqoPd+mf50Gf4VFDcy8NzXW8tkkzPEpieWE6ywszAgyPhruOhsOpvm4ALObQboJRGwL5fSSqqBhfDUC4qEFwlGLDhg00NDSwcuXKMfX2w+Duv729nZ///OfY7XaefvpprrvuOn3gUbhhRP39/YDqO/L9738/oNVXcyb1v++REDEgCJ9ytC9MUO2KH3/8cZ5//nkuuOACHnzwwbDe5sFYLBZycnJoa2sLeU1biEZznqlkqMFKaQl2zl0+g3OXz8Dphj21bWoR4v4mOnoceDyDufFn3qokIylS704omJOAeRKKEIdalLUiRG1hH46p6pIYS/TDaIDc2bHkzo7l8nN8hkdVLezwGR45nJrhUROb9zYBu5ibEaNHDXLnjGx4pIX3rZaRjXuGMwTyMCh+7VYzRuPIQmQ0hLveli1b+OMf/4jX6yU3N5fVq1ezdu1aioqKRvx38fjjj2MyqVMVFy5cSEpKCsXFxZxzzjm8//77rFmzhqioqJDjqqurAcjMzOSKK64ABlt99+7dS0pKSsDckpEQMSAI04T6+nquu+46urq6uOOOO/jyl7+sL2Zanno4LrzwQv73f/83oBIa1CKmiIgIvVPhZCE4naAVIRbnJbFsfgI3fD6fg8d6KK1sYVt5EzW+YUBHW/t448N63viwXt3lZidRlJfC0twk4qNtk1qEqNUIaJEbbWE/Hjv+yeiSSIyxsLYog7VFquFReb3P8Gh/E0dbfemZo93UHe3mpfdriI5QDY+WF6ZTUpAe1vBIEwO2MXoMaJ+LFjXo7OrVfx5hM2G32QM8FCaj6FG73s0338yVV17Jtm3b+PDDD3nttddYt24d0dHRrF69WvcZCDYgUhSF9evXs3LlSvbu3ctNN93ErbfeisViwWg04nK5uPHGGwG1vfDaa6/lnnvu4Stf+QpvvfUW0dHRVFdX89///d96bVBCQgKdnZ3cc889Y0pXiBgQhGlCZmYmTz31FH19fSxatEj/+WiEAMBVV13Fyy+/zPXXX8+dd95JfHw8r732Gps3b+bWW28lMjJyqm59wgxVhDh3Rgxz0tXceGevi51VqhPizspmBrRd7r4mNu9rwmCA7JmxFOWqTohzM2ImtChr+e6BgQFdNExlSiLY4ni4c4wnamA2GVg4N56Fc+O5+vz5NLYNsKNKtUneU6N6RPT0u/ig7CgflKmGR/NnxVFSkMbyBRlk+wyPtPD+RDwGAAac6rMYDOq99fX16c+kjWSezFbJuLg4zj77bM4++2wMBgMHDhxgw4YNbNq0ibvvvhuv10teXh7nn38+N910E0ajkSNHjtDd3c2iRYu46667eOihh7jttttQFEUfPaz9Tvx/j6C2+q5Zs4bVq1fz3HPP8dZbb2EwGJg/fz4PP/ywPqhstBiUibpICIIwbWhububnP/85GzZsoKenh7lz53L11Vdz2WWXnehbGzeaS57/F63HCxX1nWyvaGHb/kYa2/pCjkuIsbEsV60zWDQvEbstcG/lb1bknwrweDxYLJYQIRCMJi60xX00sw+GOod2nvGcw19cGI3GUbcu+uN0K+ytHWxdbOkMbZVLiLGyLDeF1i4HZVUtzE6L4X+/c/qoK/iD+duGOl56vw671cSff3S+nmPXPhf/jgH/z2Uyogaa4NBob2/XDYgOHjzIunXriIiIYNeuXVx22WXDegw8+uijnHfeeQGvdXV1sXz5cq677jpmzZo1Ka2+EhkQBGHUpKSk8OCDD57o25hUwg1WcrvdLJgbT2FWHF87L5vGdrUIcdv+JvYdaMPrVWjvdvDe9gbe296A2WRgwdxE1fAoN5m0xMhR5fhNJtOIu3WNk8kXwWg0jiklYTUbWJabyLLcRK7zGR7trGple3kT5QfbfZ+nk/e2N+jHtLT38dqmOpYXpjM7bdDwaLh79We48cVD2SSbTCY9auDfMTCWqIH/3A+NhIQEPve5z/G5z30u4Ofj9RiYilZfEQOCIAg+hkonZCQZSTtlJuefMhOHS2FXTRulFc1s299Ed58Tt0ehrLqVsupW1r1RwcyUKLU7ITeZ3Mx4zAzOoNDOOdYF9WSan6AxHoECg4ZHn1s9m36nl92+z7O0oonOHnWB7Hd6WPfGfta9sZ+UeDvF+aksL0xn8fwUIiJMI/oMaK2Fo0k3BNdP+HcL2Gy2ACEyGbUGGuP1GJiKVl8RA4IgCGEYbrDSioJklucn8c2LC6g72uOzSG6i7kgXoLXa9fL6BweJsptZMj+ZUxZkUJSfgs1MwOJ1suz4w3VJ+N/HaM4xHoESYTWyoiCZFQXJQCE/+M1mqg51Emk30zegPl9zx0CI4ZFqk5xBWmJU2Nz/4MTCsY0vHstwpaGea7R1OJp/QFVVFTfeeCPbt2/XfQYWLFgQ8B5/wrX6bt26la997WvMnj0bt9s95lZfEQOCIAijYKjBStkzY5ibEcVlZ82lvdvJjqpWSsvVVjuny0PvgJsPdx/jw93H1KK52XG6E2JmWvRJs+OfqtbFcN4KQ4f5FYy+EPui7ERuuGgBZTVt7KhoZkdFE71Bhke/fXUvM5Ij1SLEwnQWzEvGZFQ/D6dbvccI28QKEbX7DTeSWav7+OMf/8jcuXMpKirSC0NHQ3p6OnFxcfztb39jwYIFAT4DzzzzDCaTKazHQHCrr9Pp5Ic//CGKoui/m7G2+ooYEARBGCNDDVZKjDVw1rJ0zlqWjtsLZZVN7K5Vhys1t/ejKFBZ30llfScvrK8mKc5Oka8IccHcRGxW06Tu+P3Pcbx3/ONtXRzc0ZtUw6NFqZy2KNVneNStdiiUN3HgqBqFOdKi1ha8tkktFtQMj3p9UQXVY8Cot3BOhHBRg56eHl577TVqa2uxWq0sX76cNWvWcNZZZ+mjxIcjMTGRzs5OHnjgAb1lt6CggFWrVhEbGxvWYwACW33feOMNurq6WLhwIQcPHhxXq690EwiCIEwi2oJdVVXFVVddxQ9/+EM+85nPcKR1QC9CrDioTgn0x2I2smjeYBFicnxgrngyqvon4xz+x2vnGHnHH/4c4Totbv3FRo629vGZFbO4/vMFYY83GAxqFKayhdLKFsqqmgOmFPqTlxnPQ99eo3cMTEXuX1EU6uvr+eijj/jggw/Ytm0bbrebrKws3WNgxYoVeo2A/3HFxcU4nU7y8vJ0j4Hf/va3bN26FY/Hw5YtWygvLw/wGADo6enhi1/8Ij09PbS3t3PNNdfw2muv0dLSwq233hoyEGkkRAwIgiBMARUVFfz5z3/mtttu04vQtJ1pv9NLWbVaNLe9vIne/tACssy0aJ8TYgq5s+MwGgdDz/45/hPZdjgVrYvX3v8OrZ0DXHT6XK46b/6oBIrbo1ChGR6VN3GkZdBwKC7ayhO3nxZQE2EymSZ1ZLE/WjfBli1b2LBhAxs3buTo0aNERESwcuVKrr/+ekpKSgBoaGhg7dq1fOUrX6GpqYktW7agKApLly5lyZIlPPHEEzz33HN4PB6uvvpq7r33Xt1tEKCxsZFLLrmErq4uPVqVlpbGO++8M+b7ljSBIAjCFJCXl8e9994b8DMtr240ulm1IIWVhckoSgE1R3rU7oTyJup9fv/1jT3UN/bwysYDxERaWJKjOiEumZ9EdIQlYCd+oooQp6KQUdvhR9otREREBKQShjM8WjA3ngVz48meGcP//nUXigJGI9z8hcVERUXpC7/Wluef+7fb7QFFiKONcAxFdHS0bkCkKApVVVVs3LiRjRs3UlZWpouB1tZWAObNm8f9998fcA5t4mBrayvnnXceFRUVIddZv349PT09vP7668ybN4+vfe1r475nEQOCIAjHiaEGK+XOjiVnZjRfOXsebd1OdlS2sm1/E7trWnC5vXT3ufhg1zE+2HUMo9FAXmYcy3JTKM5LZmZK1HHL8WvHT2Uho+YcaDQoDAwMjEnkbN7byKMv7kZRICbSwt3XlTB3RhwejydsIaPT6aS/v19v8wzXMTDRqIHBYCA3N5fc3Fyuv/76gNfG6zMAcOzYMX7xi19w4403Mm/evHHfn4aIAUEQhEnC6/Xyt7/9jRdeeIEDBw7gcrnIzs7miiuuCHFpHGqwUlKsjbVF6awtUosQ99S2s6Oima37m2jrGsDrVdh/oIP9Bzp4/h9VpMTbKcpTuxMKsxKwWiZehDjUjl9zTpwqsyKPx4vboy68NotxTCJn675G/vevu/F6FaIiLPzw6yVkpkXrr4cbEqWlb7TXtcU5OGrgb0A0mqjBaLsJxuszAHDfffeRmprKN7/5zVFdayREDAiCIEwSP//5z/n973/PV7/6Vb773e/i8Xh4/fXX+cEPfkBHRwc33HDDkMeGHazkdrNsfiJLsuO57nN5HGrqo9SXF6+sb0dR1B78dzYf4p3Nh7BZjCzKTtKnLibG2ie8W4fjZ1bU3Tu4Cw42CxqudbGsuo1fvrALj1ch0m7mB9cWMyc9esj7GI1Qcjgc9PX16cLAf3T0cIZHYxkONF6fgXfeeYf333+f//zP/+Sqq66ivLxcFzbp6en09vbq9ztapIBQEARhkigpKSEnJ4cXXnhB/5miKHzmM58hKiqKV199dczn9HdC9A/R9w54KKtuY3t5Mzsqm3SDHn+yMmJ8rYspZM+MPemLEDt7nFxz/z8AuO2KpaxamDbiOXZVt/Kz53bicnuJsJm474ZVFMxNGncho/a//iLHPyKgCQPtM9u+fTubNm1ixYoVFBYWYjKZiImJGfF6GitWrKCnp4cFCxbwH//xH7rPwIYNGzAYDGzdujWkvfDOO+/k5ZdfHva8t9xyC7feeuuo70MiA4IgCJOE1WoNmd5oMBiIjo4ed945nBOiy+Uixmhk9cIUVi9MwasUUnW4W08nNDT3AHDgaDcHjnbztw11xEVZWZqbRFFuCotzkoi0m6ekCNG/at9/p+31ekc8R0f34ECoqAgrdrt92JTEnto2XQjYLCa+d3Uxc9IicDgc4y5k1AhOSfifY2BgQJ8t0dDQwPPPP88TTzxBfHw8p556KmeddRannXYaCQkJI/5+x+MzcNNNN7Ft2zZcLhc/+9nP9L+N+++/n+rqanJycvjiF7844rX9ETEgCIIwSXz961/nl7/8JS+99JI+X/7VV1+lvLycBx54YFKuMdRgpfzMWPJmx3DFZ7Jp7nCwo0r1NNhb24rbo9DZ62TDjqNs2HEUk9FAQVaCPnVxRvLkFiGGy8+PJmrg9PcKUNRFVxMXWn5dO35vbSs/e3YHLrcXq8XE964uIi8zLuA9MDWpEe3z2Lp1K1lZWbzzzjvs27ePjz76iE2bNvHGG29gNBpZsmQJZ5xxBmeccQYFBQUhKQRFUWhqasJisXDnnXcG+AwYjUY6Ojro6uoK8RmYM2cOt912G4mJiQGWw3Fxcdjtdnp6epgxY8Zo/px0RAwIgiBMEjfccAORkZHce++93HXXXYBaAPbggw9y8cUXT/r1hhqslJpg5zMlM/hMyQxcHthd20apbxxzR7cDj1dhT20be2rb+NPblaQnRlCUl8KyvGQK5yRgNhtPSNvhgGvwXDaLSRcoweeoaejmp89sx+HyYjEb+d7VxRRkxYW9j6mawWA0Grnvvvuora0lIyOD008/ndWrV3PDDTcwMDCgtxL+9re/5ZFHHiElJYW1a9dyxx13EB2t1jMcOXKE3t5e3Wfgtttu030GbrjhBp544gkqKyv1z0oTUAaDgQsvvDDsfQ4MDJCZmTni304wIgYEQRAmiQ0bNvDggw9ywQUXcPHFF+NyuXjllVe4++67SUhIYM2aNVN27aEGKxndbopzkyian8j1n8vjYGOvanZU0Uz1oQ4AjrX18+ZH9bz5UT0RNlNAEWJ8tO34FSF6B3fONkvosB+Px0PFwTZ+vK6UfocHs8nI969ZTklh+nGfwQDw/PPPs2PHDj744AM2bdrEX//6V6xWKytWrOCMM87gv/7rv/jFL35BaWkpGzZsYO/evXR1deliYKI+A8EUFxezbds2rrzyyhHfG4wUEAqCIEwCTqeTtWvXkp2dzdNPPx3w2he/+EU6Ozv1L/jjTXDu3uv1YjAY6Op1sbO6je3lTZRVNdPvCN0ZZ8+MZVluMsV5KWRlxExpEeK2/U38+I9bAHj8v84kJd4WcI66I1386I/b6R1wYzIa+K+vLmNZbtIJd1NUFAWr1UpDQwP/+te/2LhxI1u2bMHlcpGVlcUZZ5zBpZdeSkFBoL3ytm3b+OpXv8o999wTsoBv2LCBG2+8kZ/97Gejiiq98MIL3HvvvVx66aX89Kc/HfH9wUhkQBAEYRI4cOAAzc3NXHvttSGvrVixgj/84Q+0traSlJR03O9tqMFKcdEGTl+cyumLU/EqBsrrO9hRodYaHG1VLX1rGrqoaejipfdriY+2siwvmeLcFBZlJ2K3TW4RYndvv/7zSLtFLyD0er3UHG7nx+tK6R1wYzQa+M7lS1iWmxRyjsm4DwhfDLljxw7Ky8tZtWoVaWlp+nGakVRWVhbXXnst1157Lb29vXz00Uds3LiRd955hz179vD8888HXHMiPgP+/OpXv+Kxxx7j85//PD/60Y9GfH84RAwIgiBMAppTXLgBONqXvfYFf6IxGo1hixAXZMVTOCeOr56bTVOHg9KKFraXN7OvrhWPV6Gjx8n724/w/vYjmE0GCucmUpSbzLK8ZNITIydchBgwbEhx09/fj8lk4khLH/f/fis9/S6MBvjO5Us5ZUHqkLv1qSqG3L59Ow8//DAej4e8vDxOO+00Tj/9dJYvXx5yfFRUFOeccw7nnHNOwGhhfzQPgWeffZZHH31U9xj49re/TUtLS8B7gikvL+eXv/wl//73v3G73aSnp3PZZZfpgm+sSJpAEARhEujr62PVqlUsXryYP/3pTwGvXXTRRbS1tbFp06YxmdIcb4byNHC4FXbXtLO9vInt5U109YaKmhnJURTnqcIgLzMesykw5z/cpEItsvDWx/Wse0PNjf/5vnMwGg0cae7l3j9so7PHicEA/+8rSzmrJHPUTojBjOY+hqOrq4vNmzezadMmPvjgA9rb24mLi+O0007TJxQmJiaO6l7q6+v5zGc+Q0xMDA899JDuMfDBBx9w1lln8f7777N58+aQ9sL6+nouvfRSIiMjaW5u5sorr+TIkSN88MEHPPfccyxZsmRU1/dHxIAgCMIkoYVrL7nkEr218OWXX+att94Kmxc+2dE8DbTQurpcGKg71qNGDfY3UXukM+S4SLvZN1gpmaXzk4mNCnTCG2qU8kvvVfLs25VYzEaevedsjrX2ce/vt9He7QDgW19axJol6cOeY6RCxtHcx0jnUBQFs9mMyWRi7969/Otf/9ILBA0GA0uWLOHss8/mG9/4hl7QGY4777yT1157DZPJxHvvvUdKSgpOp5NzzjmHtrY21qxZw+OPPx72uDfeeAOn08ntt9/ODTfcgNPp5NxzzyUrK4t169aN+OzBiBgQBEGYRF588UWee+45amtrMRgMzJ8/n+uuuy5sK9gnCf90grZoGgwGOntd7KhsZXt5EzurWnC6AnfXBgPMnxXn8zRIYU56dEB0xL8I8YV/VvGX9ZVER1h46NZT+cFTH9PaqaZfbrp0IWcVZYS9t+EKGYebdjjSOerr63n++edZunQpJSUlREZGoiiK7nsQHOVpampi06ZNbNiwgfLycv70pz/ptQXhPs/ly5ezePFi9u7dy6xZs3SfgbvuuoujR4/yl7/8haVLl7JlyxbdZ+DLX/4yJSUleDwekpKSePjhh/X7+OMf/8ibb77JunXrKCoqEjtiQRAEYWrRhIF/OsHthfKDHbqnQVN7f8hxSbE2luUlU5SbwsJ5iQEzCP70diV///dBEmJsWMxG/fhvXrqIc1fMmvIdf/A56urq+M53vkNdXR0Wi4Xly5dz2mmncfbZZ5OVlTXKTyo8DQ0NrF27lptuuomLLrqIhx56iC1btqAoChkZGdTU1PDcc89RUlLC5s2bufrqq7n33ntZs2YNa9euHfH87777LrNmzRr1/YgYEARBECaEVokf3Lp4tG1A7U4ob6L8QBveoNXGYjayYG6CPnXx1Y0H+OfWw5iMBjy+N1/3uUIuWjPvhLQMahw6dIh///vfbNq0ia1btwa0DJ555pmUlJSMaRcO8Prrr3P77bcD8Oabb5Kdna2/tn79er71rW/x6KOPct555+k/37JlCw888AD79+/HarWyatUqbrvtNvLz84c9bjRIN4EgCIIwIQwGg95e51+EODM5kozEWVy4ahb9Ti+7a9TBStvLm+jpd+Fye9lZ1crOqlb+8HeIsKlRAk0IXH1BPuedMhOHQ60ZOF5OiMHMmjWLK664gq9//ev09fXx0UcfsWHDBt5++22efvppIiMjOfXUU/nOd74TsKgPxXPPPTesPbXFYgEGO1QAtm/fznXXXUdhYSEAl112Gfv27eOqq67ilVdeYdasWWGPGy0iBgRBEIRJY6jBSkajhxUFyawoSEZRCqg92qOnEw4e6wYIMD268rxcPrt6dsC5p8oJ0Wg0YrPZcDqd3HXXXcyePZvTTjuNvLw8/X12ux2DwRDSMlhRUcG//vUvPvroIw4ePDiiGNiyZQsPPvigbjccjnAeA4888gjJycl873vf4/LLL2fOnDnccsstrF27lieeeIKf/OQnY/ImCEbEgCAIgjBlDDVYKWdmDNkzovny2rm0dbvYUdnC65tqOdraR15mPF86K2fYMP5oZg6MlAoInlSopTfWrVvHr3/9a1JSUjjttNNYu3Ytq1ev1m2E/Z8tPz+f/Px8brrpplF9HvHx8bzwwgskJiYOKQaCPQY6OjrYunUrX/va18jIUIso29raSExM5NRTT2X9+vX85Cc/GdGbYDhEDAiCIAjHhaEGKyXFGnA27SS27SMef/B/9Ir9saQCJuqEqB2nDZnauXMn//73v9m4cSMvv/wyFotFnzlw5plnMmfOnDE9u2YStH37dt1cyGq1hjWiqqiowGKxkJOTw0svvcTvfvc7FEXh+eefZ/v27URGRuqzCnJycli/fj1Hjx7Vj8vNzR3TvQGEToIQBEEQhClGSyfYbDYiIiJ46aWXSExMxOVy4XK56O/vp7+/X9/5W61WIiIisNlsmM3mYc2btIjBwMCAfg5Qc/ERERHY7XYsFgtGY/gl0Gw2s3z5cu68807efvtt/vnPf3LHHXdgMBh46KGHOPfccznvvPN48cUXR/Ws9fX1fPWrX6W9vZ2f//znPPnkk0RHR+tCoK2tTX9vX18f//jHP1izZg1PPPEEd911FzNnzgTgm9/8JvPnz6evr49NmzbR3NxMQkICoHYnaMcFmxSNBukmEARBEE44Xq9XX5zDDVYCdKMffy+BkcYPBxPsQPg///M/NDc3c9ppp7Fy5UpiY2MxGAzY7fawYkGbObBhwwbmzJnD9ddfP+I1NVHx3nvv6e6ETqeTU045hb6+PubPn8/tt9+OxWLht7/9LWVlZbz44otcfvnlpKWlUVtbi9fr5Te/+Q1r1qzhrLPOoqmpiYKCAhYuXMgLL7zAggULqKur48UXXyQnJ2e0H7uOpAkEQRCEE47/wjvUYCWt3gACF/WJFBBmZWXx8ccf8/e//x2TycSSJUs488wzWbt2LTk5OSERCP8CwtGgKArr169n9erVATbFVquV+fPnU1ZWRmxsLLfddhuKorB06VKeeeYZcnJysFqt2O12XQxpUZL4+HjsdjspKSn87W9/0z8P7bjxIGkCQRAE4bhQXl7O+eefT15eHjU1NWFfv/HGGykuLmbJkiVcddVVbNmyRR+sFBERQWRkZMC0v/7+fvr6+sacCgBVZFx00UU8//zzvPPOO9x1113ExcXxxBNP8LnPfY6zzz6b++67jw0bNoy5XU97lqKiIrq7u9m3bx9btmwJeI8mDi6//HJKS0vZsWMHv/71r3njjTdYs2YNHR0d7Nmzh9NPPx2AY8eO8ec//1k/95NPPsk111wDwK9//WsWLVo0pnv0R8SAIAiCMOU899xzXHbZZfT09IR9fai8+nXXXUdZWZn+Pi1qYLfb9UXfZDLh8XgYGBigr68Ph8OB1+sNeJ/Vah12TkBKSgqXX345Tz75JJs3b+a3v/0tZ511Fhs2bODGG2/klFNO4fbbbw87bni4Z/n2t78NqBGF4GfRWgA7OjoAVZzcdNNNvPjii9x8882sW7eOJUuWsGnTJgB+9KMf8eCDD/Lggw/yhS98AVCLDVNSUkhNTR3xvoZDxIAgCIIwpWi99ffccw9f+cpXwr7n8ccfx+Px8NRTT3HWWWexatUqHn30UZKTk3n44YfDHhNchBgZGYnFYsHr9eJwOOjr66O/vx+3243BYMBms/HKK69www03sG7dOqqrq/UBTJqoALDZbKxZs4Yf/vCHvPvuu7zxxhvceuutxMbGjmpEsP+zaLv1yy+/PORZtKiFZqr05ptvsnnzZn784x9zxRVX0N/fT3l5OcnJySQkJOjTEe+++242btxIY2MjH330ERdccMHofxlDIDUDgiAIwpSi9dYXFhby2GOPhbw+XF793HPP5U9/+hNdXV3ExsYOe52hPA20GQqaL8AHH3zAb3/7W/73f/+XjIwM1qxZw9lnn80pp5yC3W4POWdOTs6oc/HBz9LQ0ACou/5zzz2XZ555ho8//pioqCi9i6C9vZ3du3frg40GBgYoLCwkOjqaZcuW8fTTT7N//34uv/zy/9/e3cdUWf5xHP8cEAQEnaaAxcgFjDhUk4G1HENrQyajB2c0bLSaq8kINiP/kPXgamUkJSXrwYZPEGymRcvNHkabNJHApjM38ahRmhFJYQgKHJ5+f/C77w6CiBmaXO/X5tw45wj3X7y97uu+vurs7FRoaKjy8/MVHBysadOmacWKFWP62UZDDAAAxtXlnntvampSe3u7oqKihr0WFRWl/v5+HTt2TAkJCWP+nhdvQrTCICYmRoWFhXK73Tp48KD27t2r6upqbd++XX5+frr33nu1cOFCLVy4UKGhoVd0nUePHtXatWvV3t6uPXv2KDMzU5mZmZIGHx+MiorSwMCAfZ/fsmnTJm3atEmSNHfuXK1evVqS1NbWZu8XiImJ0datW7V+/XqdPn1avb29io2NVVFRkWbOnHlFP+dIuE0AALiu/vzzT0myn5n3ZH3Nes8/dfHthMDAQCUlJemll15SVVWVdu/erdzcXJ0/f16vvPKKFixYoIcffli//PLLmP59a5+A9XM++uijCgwM1KpVqxQUFCSXy2Vfy4YNG+RyubRs2TL5+PjowIED2r9/vyTpp59+kiR7hWPjxo3avHmz+vr6FBcXp7KyMi1btkyS9PLLL1/19EQLMQAAuK6sw3dGmvx3NcN3LsUarGStGjgcDkVEROipp55SWVmZamtrVVRUpHnz5o15GqG1T+C5556TNLgaYu15CAgI0L59+3ThwgX7WjwPF5oyZYr9Wnt7u6ZMmaLw8HD5+vpq8uTJeuONN/TWW2/Z36u+vl6zZs264pWL0XCbAABwXXk+Knixqxm+809NmzZNqampSk1NHdP7PfcJWHMBenp67D0PpaWlmjp1qr1f4uTJk8rOzlZnZ6fy8vIkSV999ZWkwSCKiYmRl5eXFi9erOLiYgUHB2vLli1yOp2qqqqSy+XSmjVrRj2F8UoRAwCA68r6Bep5LK/laobvjDdr3sD+/ft14cIFHTlyxN4waF2LtU/g+eefV0lJiSTpww8/lJ+fn3p7e/XYY48pIiJCTU1NkqTw8HD7KYOcnByFhISouLhY/f39ys/PV3R0tIqKisYcKmPFbQIAwHUVGhqq6dOn28N3PF3N8J3xdKmzBDz3CEh/73nw8/NTfHy8vL291dPTo7i4OL377rsqLCzU2bNn1dzcrODg4GErIOnp6faGw23btmnnzp3/eghIxAAA4D8gJSVF+/btU0tLi/21i++r/5eMdpaAtUegpaXF3vNw7tw5ff311/Lz89OcOXP03nvvKSkpSdHR0Tpz5ow9gOnw4cP2/gFLdXW1/P39dfvtt4/b9XCbAAAwrk6fPq2zZ89Kks6cOSNJOnHihP1LLzo6WtnZ2fryyy+VlZWl3Nxce2iP5331/4qxnCUwdepUZWVlKTExUZJUWlqqzs5O5ebmyul06uDBg3ryyScVGRmp4OBgBQYG6o8//lB4eLiOHTum8PBw1dbW6vPPP1ddXZ1yc3MVEBAwbtfE1EIAwLhavXq1KisrL/n6N998o7CwMP34448qLCxUfX29PbQnLy/vqs7c/zddvEdg9uzZWrduncLDw7VgwQJlZWUpLCxML7zwgtatW6cvvvhCNTU1crvdCgwMtAco3XnnnUpOTtbatWslDa4yWPsBXn31VWVkZOjcuXNyOByaM2eOnnjiCaWnp4/rtREDAABcxqlTp7RkyRLddtttSk1NVUFBgSIjI3Xy5EmVl5drxYoVmjt3rh555BE988wz2rBhg1JSUrRq1Srt2rVLsbGxys3NlZ+fn7Zt26a9e/dq/vz5qq6uHvX75uTkKDc3d9yvjz0DAABcxuXmDVh7HkY6S8DLy0slJSXDZi60tbVp+fLlkqSkpCSVl5ervLxcMTExiomJUXl5uZYuXXpNro8YAABgFBfvEbDORbD2CNTV1enxxx+Xv7//sLMEuru7NW/ePM2YMUP19fVyOp2qrKzUokWLdOjQIW3evFkPPPCA3n//fSUkJCghIUFBQUEKCgpSQkKCbr755mtyjcQAAACjuHh2gue5CNbshL/++ksVFRX2oKOSkhL7wKS4uDhJfw9P6u/vV0NDgwYGBpSWlqbCwsIxTUMcT8QAAACjuHh2gue5CJ6zEyIiIhQfHy8fHx/V1tbaA4es99xzzz1yuVxqbm62ZxEsWrRo2EmCZWVlKisrG7fr8Zy30NfXJ4kYAABgVCPNThhtj4B1LsJIn6uqqtIHH3ygJUuW2J+7loqKirR+/XpJg7c5vL291draSgwAADCakWYnZGdnj7hHwPNchBMnTkgaHCwkSb29vSooKFBYWJgiIiIkSS0tLTp8+LD9xwqI8XLkyBH7iGdLQ0MDhw4BADCakWYnhISEqKKiQitXrpQ0uEcgPj5epaWlioyMlDQ48EiSOjo6JEnNzc32En1hYeGQvy3WmQvjZebMmaqrq5Pb7bZXLBISElgZAABgNJeanXDxHoEtW7YMOSBp8eLFmj59ur05MCwsTC6XSy6XS8uWLZOPj48OHDhgf83lco1rCEhSfHy8mpqatGvXLkmDmxonT55MDAAAcDn/dHbCf23mQnR0tBwOh77//ntJksPhUH9/PzEAAMDlWHsEsrKytGfPHtXU1AzbI2CdI7B9+/Yr+ty15HQ6df/996uyslLffvutJMnLy4sYAADgcqw9ArNmzVJeXp5ycnLkcDiG7BHwPEfgSj53LXl7eys5OVmSVFxcrOPHj0tiNgEAAEYYGBiwzzR48cUXtWPHDmVkZOjpp5/maQIAAExg7w/w8tLy5cv166+/aufOnZoxYwYrAwAATDSeqwCXUldXpzfffFNHjx4lBgAAmEis//1Lss8T8Pyap+rqapWWlhIDAABMRO+8845+++03FRQUDHvNc+WAlQEAACaYgYEBtba26qGHHlJHR4c++ugj3XHHHSO+zwoCHi0EAGACcTgcuummm/Tss8+qq6vLno0w0vssxAAAABOIteCfmJgop9OpjRs3qrGxcdTPEAMAAExAISEhSktLU1tbm+rq6iRJfX19I76XPQMAANygrKcEWltbNWPGDPvrPT098vHxUU9PjzIzM9Xe3q4dO3ZcchYCKwMAANygvLy8VFtbq/nz52vlypUqLy8f8hihw+FQWlqaGhsb9emnn0r6+zaCJ1YGAAC4gW3dulWfffaZfv75Z3V1dSk2NlaJiYlKSUmR0+mU2+1WRkaG/P39VV5ePuK/QQwAAHCD6+rq0vHjx1VRUaFDhw6psbFRkyZN0oMPPqjk5GR1dHQoPz9fa9asUXp6+rDPEwMAANzgrDMD3G63uru79cknn6impka1tbXq7e3V7Nmzdf78ed1333167bXX5O3tPeTRQmIAAIAJqLu7WydOnNDHH3+sH374QQ0NDXI4HNq2bZvuvvvuIe8lBgAAmECsVQJrI6Hb7VZPT48qKyv1+uuva+nSpVqzZo0cDoe90ZARxgAATCD2EcP//0Xv6+srX19fZWZm6rvvvlNtba06OzsVGBhof4ZHCwEAmODcbrck6a677lJzc7NOnz495HViAACACc7X11eS1NnZqYCAAE2aNPTGADEAAIABTp06pd27d+vWW2/VLbfcMuQ1YgAAgAmuv79fv//+u2bNmqW3335b/v7+Q17naQIAAAzQ3d2tvr4+BQQEDHuNGAAAwHDcJgAAwHDEAAAAhiMGAAAwHDEAAIDhiAEAAAxHDAAAYDhiAAAAwxEDAAAYjhgAAMBwxAAAAIYjBgAAMBwxAACA4YgBAAAMRwwAAGA4YgAAAMMRAwAAGI4YAADAcMQAAACGIwYAADAcMQAAgOGIAQAADEcMAABgOGIAAADDEQMAABiOGAAAwHDEAAAAhiMGAAAwHDEAAIDhiAEAAAxHDAAAYDhiAAAAwxEDAAAYjhgAAMBwxAAAAIYjBgAAMBwxAACA4YgBAAAMRwwAAGA4YgAAAMMRAwAAGI4YAADAcMQAAACGIwYAADAcMQAAgOGIAQAADEcMAABgOGIAAADDEQMAABiOGAAAwHDEAAAAhiMGAAAwHDEAAIDhiAEAAAxHDAAAYDhiAAAAwxEDAAAYjhgAAMBwxAAAAIYjBgAAMBwxAACA4YgBAAAMRwwAAGA4YgAAAMMRAwAAGI4YAADAcMQAAACGIwYAADAcMQAAgOGIAQAADEcMAABgOGIAAADDEQMAABiOGAAAwHDEAAAAhiMGAAAwHDEAAIDhiAEAAAxHDAAAYDhiAAAAwxEDAAAYjhgAAMBwxAAAAIYjBgAAMBwxAACA4YgBAAAMRwwAAGA4YgAAAMMRAwAAGI4YAADAcMQAAACGIwYAADAcMQAAgOGIAQAADEcMAABgOGIAAADDEQMAABiOGAAAwHDEAAAAhiMGAAAwHDEAAIDhiAEAAAxHDAAAYDhiAAAAwxEDAAAYjhgAAMBwxAAAAIYjBgAAMBwxAACA4YgBAAAMRwwAAGA4YgAAAMP9D/mn0nq5a8JdAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p1 = (0, 0, 0)\n",
    "p2 = (10e-9, 1e-9, 1e-9)\n",
    "cell = (1e-9, 1e-9, 1e-9)\n",
    "\n",
    "region = df.Region(p1=p1, p2=p2)\n",
    "mesh = df.Mesh(p1=p1, p2=p2, cell=cell)\n",
    "\n",
    "mesh.mpl()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAwUAAADaCAYAAAD35e4eAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy81sbWrAAAACXBIWXMAAA9hAAAPYQGoP6dpAABH10lEQVR4nO3deXxM5/4H8M8kmezLJBIJiV3EUhJC1FLUEkHVXmvUtcZ+q/21imqpai2lRamitS/lNlxqV0vRCqookqCUWEL2yDrL+f0RmSsySSYns8/n/XrN68U55znPdxJmnu95NokgCAKIiIiIiMhq2Rg7ACIiIiIiMi4mBUREREREVo5JARERERGRlWNSQERERERk5ZgUEBERERFZOSYFRERERERWjkkBEREREZGVY1JARERERGTlmBQQEREREVk5JgVEREREZFFiY2MxduxYhIaGIjg4GMOGDUNMTIzWZSMiIhAUFITbt2/r/P6mikkBEREREVmMe/fuYejQoUhNTcXixYvx7bffwtXVFSNHjsTly5dLLbtlyxYMGDAAz54908v9TZlEEATB2EEQEREREenC9OnTcfDgQfzyyy/w8vICAOTn5yM8PBw1a9bE+vXrNZaLiYnB6NGjMXv2bDx69AgrVqzA/v37UadOHZ3c39Sxp4CIiIiILIIgCDh69Chat26tbrADgL29PcLDw3Hu3DlkZGRoLCuTybB9+3b0799fL/c3dUwKiIiIiMgiPHz4EJmZmQgMDCx2LjAwECqVCvHx8RrL1qtXDw0bNtTb/U0dkwIiIiIisgjJyckAAE9Pz2LnCo8VXmOK9zcmO2MHQERERETmSfG4rsHrtPO7VeK5/Px8AAXDeV4mlUoBALm5uaLr1vf9jYlJARERERGJohRUBq+ztMarg4MDAEAulxc7V9igd3JyEl23vu9vTEwKiIiIiEgUFUxrEUsfHx8AQEpKSrFzSUlJRa4xxfsbE5MCIiIiIhJFLigNXmdpz+H9/Pzg6emJuLi4Yufi4uIglUpRr1490XXr+/7GxInGRERERCSKCoLBX2Xp2rUrzp49i6dPn6qPZWdn4/Dhw2jXrh1cXFwq9J71fX9jYVJARERERKLIoTL4qywTJkyAk5MToqKicOLECZw5cwYTJkxATk4Opk2bBqBgo7KGDRtix44d6nIJCQm4evUqrl69iidPngAAbt26pT5WOGdAm/ubIw4fIiIiIiJRlIJpzSkAAF9fX2zduhWLFi3CtGnTIAgCQkJCsHHjRtStW7BakiAIUCqVUKn+l2SsWLEC0dHRRe41ZcoU9Z+PHTuGgIAAre5vjiSCYIK/TSIiIiIyefcfVDF4ndX8Hxm8TmvAngIiIiIiEkXJR8sWg0kBEREREYli+F0KSF+YFBARERGRKHJBYuwQSEeYFBARERGRKEowKbAUTAqIiIiISBS5wNXtLQWTAiIiIiIShT0FloNJARERERGJouQ+uBaDSQERERERicLhQ5aDSQERERERiaJkUmAxmBQQERERkShy2Bo7BNIRJgVEREREJAp7CiwHkwIiIiIiEkXF1YcsBpMCIiIiIhIlX2BT0lLwN0lEREREoqi4JKnFYFJARERERKLkC5xobCmYFBARERGRKCpONLYYTAqIiIiISBTuaGw5mBQQERERkShyDh+yGEwKiIiIiEgU7lNgOZgUEBEREZEo7CmwHEwKiIiIiEgUzimwHEwKiIiIiEgUlcAdjS0FkwIiIiIiEkXOHY0tBn+TRERERCSKEuwpsBQcCEZEREREosgFW4O/rNHu3bvx6NGjUq/59ddfsW7dOtF1MCkgIiIiIlFUgo3BX9boww8/xNWrV0u95vbt2/j2229F18HhQ0REREQkirU+uTeE2NhYxMbGAgAEQUBMTAyys7M1Xpubm4udO3dCoVCIro9JARERERGJws3L9OfXX3/Fl19+CYlEAolEgi1btpR6vSAIiIiIEF0fkwIiIiIiEoVLkurPmDFj0KdPH/z555+YNGkSIiIiULduXY3X2traolq1aujatavo+pgUEBEREZEoHD6kX97e3ujcuTNatGiBYcOGoXnz5nqri0kBEREREYmi4po1BrFp0ya918GkgIiIiIhEkatMMymIjY3FkiVLcPHiRSgUCjRu3BhTpkxBWFhYhctNnz4d0dHRGsv37NkTixcv1ul7KZSSkoJTp04hMTERcrlc4zUSiQQTJ04UdX8mBUREREQkiikuEXrv3j0MHToUtWvXxuLFi+Ho6IgNGzZg5MiR2LJlC4KDgytczsfHB6tWrSp2D5lMppf3dP78eURFRSE7OxuCIJR4HZMCIiIiIjI4U9zReOXKlVAqlVi9ejW8vLwAAKGhoQgPD8fSpUuxfv36Cpezt7dH48aN9f1W1L788kvk5eWhV69eCA4OhqOjo87rYFJARERERKIoVKY10VgQBBw9ehStW7dWN+yBgkZ8eHg4Nm3ahIyMDLi7u+uknKHcuHEDw4YNw/Tp0/VWh+n1+RARERGRWVBBYvBXaR4+fIjMzEwEBgYWOxcYGAiVSoX4+HidlTMUqVSKBg0a6LUO9hQQERERkShyE+spSE5OBgB4enoWO1d4rPCaipTLzc3FvHnzcOLECSQmJsLPzw+9evVCVFQU7Ox037xu0KAB7t+/r/P7vog9BUREREQkikqQGPxVmvz8fAAFw35eJpVKARQ06CtaLi0tDRKJBJ999hlWrVqF0NBQLF++HPPnz9fyJ1c+U6dOxbZt2/TaW8GeAiIiIiISpazhPIbm4OAAABqX7Cxs+Ds5OVWo3MyZM/Hhhx/Cw8NDfU3btm2Rk5ODrVu3Yvjw4ahZs2bF3shLrl+/jpYtW6JPnz549dVXUatWLY0JjEQiwf/93/+JqoNJARERERGJYmoTjX18fAAUrOn/sqSkpCLXiC3n5uamse4uXbrg4MGDuHbtms6Tgvnz50MikUAQBJw5cwZnzpzReB2TAiIiIiIyuLKG8xian58fPD09ERcXV+xcXFwcpFIp6tWrV+FycrlcPayoUOHwosJeB136/PPPdX7PlzEpICIiIiJRFCa4eVnXrl0RHR2Np0+fqp/uZ2dn4/Dhw2jXrh1cXFxEl8vKykL79u3RunVrLFu2rEj5w4cPQyqVIiQkROfvqU+fPjq/58tM7zdJRERERGbB1CYaA8CECRPg5OSEqKgonDhxAmfOnMGECROQk5ODadOmAQBiYmLQsGFD7Nixo1zlXFxcMGjQIBw6dAizZ8/G6dOncfLkSbz77rs4efIkRo8eDW9vb/38sJ/7559/cObMGaSnp+v0vuwpICIiIiJRTG34EAD4+vpi69atWLRoEaZNmwZBEBASEoKNGzeibt26AAo2K1MqlVCpVOUqBwDvvvsuqlevjk2bNiE6Oho2NjaoW7cuPv/8c/Tt21dv7+vs2bOYO3cu/vnnHwDAxo0b0aJFCwDA8OHDMWrUKLRv3170/SWCIAg6iZSIiIiIrEq3U1MNXueBdl8bvE5ju3r1KgYPHgypVIpmzZrh7Nmz6qQgJSUFb7zxBjIyMrB582bRw5c4fIiIiIiIRDHF4UOWaM2aNZDJZPjvf/+LpUuX4sVn+l5eXtizZw+8vb2xdu1a0XVw+BARERERiaJQ8fmyIfzxxx8YPHgwqlWrhszMzGLnfXx8MGjQIGzYsEF0HUwKiIiIiEgUa31yb2hpaWmoXr16qdf4+/trTBi0xaSAiIiIiERRmuCSpJbIw8MDT58+LfWa27dvQyaTia7DZH+TsbGxiIiIQFBQEG7fvq1VmZiYGAwbNgwhISFo1qwZxo4di9jYWD1HSkRERGSdOKfAMEJDQ7Fjx44SewLOnTuHjRs3IjQ0VHQdJpkUbNmyBQMGDMCzZ8+0LnPx4kWMHDkSTk5O+Oabb/DVV18hIyMDw4YNQ0JCgh6jJSIiIrJOgiAx+MsajRs3Dg8fPkT//v2xcuVKSCQS7N+/H4sXL8agQYMwYsQIKBQKREVFia7D5JYkjYmJwejRozF79mw8evQIK1aswP79+1GnTp1Sy0VGRuL+/fs4fPgw7O3tAQApKSno2LEjevTogc8++8wQ4RMRERFZjVcPfWjwOn/v+rnB6zQFp0+fxqxZs/D48eNi5/z8/PDZZ5+hTZs2ou9vcnMKZDIZtm/fjoYNG2L58uValUlLS8P58+cRGRmpTgiAgiWa2rRpg6NHjzIpICIiItIxax3OYwxt27bFkSNHcOHCBdy8eRNZWVlwdXVFvXr10Lx5c9ja2lbo/iaXFNSrV6/cZeLj4yEIgsaydevWxdGjR/Ho0SNUqVJFFyESEREREQAlkwKDkkqlaNWqFVq1aqXze5tcUiBGcnIyAMDT07PYucJjycnJZSYFtb7+UvfBERERERnQnanvGqwuax3jbywPHz5EYmIiFApFide0aNFC1L0tIinIy8sDUJA9vazwWG5urkFjIiIiIrJ0HD5kGI8fP8bkyZPx119/lXntjRs3RNUhOim4evUqLly4gISEBKSkpCAjIwPu7u7w8vJCQEAAmjdvjsaNG4u9fbk4OjoCAORyebFzhcecnJwMEgsRERGRtVCpmBQYwqeffoqrV6/C398fTZo0Ubd9dalcSYFCocC2bduwceNG9TKfJS1eJJFIUK1aNbz99tsYOHAg7Oz01ynh7e0NAEhNTS12LikpCUDB9s9EREREpDscPmQYMTEx6Ny5M5YvXw6JRD8/c61b6leuXMH777+Pu3fvwtHREW3atEHbtm1Rq1YteHl5wd3dHRkZGUhJScGdO3fw66+/4uLFi/j000+xefNmLFiwAE2aNNHLmwgKCoKtrS3i4uKKnYuLi4OPjw8qV66sl7qJiIiIrJWSPQUGkZ+fj06dOuktIQC0TAp27dqFTz75BDKZDLNnz0afPn1KHY7Tvn17jBgxAjk5Ofjpp5+watUqDBkyBHPmzEG/fv10FnwhNzc3tG7dGgcPHsR7772n7lJJTEzEb7/9hsGDB+u8TiIiIiJrx54Cw6hevTrS09P1WodWOxrPmjULvXv3xqFDhzBkyBCtx+c7OTlh6NChOHz4MHr16oVZs2aVWSYhIQFXr17F1atX8eTJEwDArVu31Mfy8/Oxe/duNGzYEKdPn1aXe/fdd5GZmYmJEyfi7NmzOH78OKKiouDh4YFx48ZpFS8RERERaY87GhtGZGQkdu3apV5cRx+06in49NNPMWDAANGVODs747PPPkNISEiZ165YsQLR0dFFjk2ZMkX952PHjkGlUkGpVEKlUqmPN2jQAOvXr8eSJUswYcIE2NraolWrVli6dKl6zgERERER6Q5XHzKMJk2aoGHDhujevTsGDhyImjVrwsHBQeO17du3F1WHRChpprAV4j4FREREZO4MuU9BvV2fGqyuQvH9PzJ4ncZWv359SCQSCIJQ5rwCgy9JeujQIRw/fhxPnz7VuBQoULAC0YYNG8RWQUREREQmjEuSGkbv3r31OskYEJkUrFq1CsuWLStxOdJC+g6eiIiIiIzHWsf4G9oXX3yh9zpEJQW7d++Gj48PPvjgAzRo0KDEMU1EREREZMGYFBjFs2fPkJ2dDRcXF7i4uOjknqKSgsePH+P//u//0KNHD50EQURERETmR1CVfQ3pRlJSElasWIGjR48iOTlZfdzX1xfdunXDxIkT4erqKvr+opKCKlWq6HWHYiIiIiIyfRw+ZBiJiYkYMGAAnjx5AqlUiho1asDJyQnZ2dl48OABfvjhB5w8eRLbt2+Hu7u7qDpEteyHDBmCnTt3om/fvrC3txdVMRERERGZN4ETjQ1i5cqVSElJwezZs9GvX78iQ/ezs7OxdetWLFmyBN999x3ee+89UXWISgqGDx+O9PR0RERE4M0334S/vz+kUqnGa3v37i0qMCIiIiIycVzY3iBOnz6NwYMHY8iQIcXOOTs7Y/To0bh37x6OHDli2KTg0qVL2Lp1K1JTU7F69WqN1xSuo8qkgIiIiMhSsafAEJ48eYJGjRqVek1wcDB2794tug5RScHnn3+OtLQ0tGnTBg0bNuTqQ3okCALkT57C3reysUPRG0VqKmxcXGBjoUPRBIUCirR0SL0rGTsUvZEnPoHUgv+NKjMzARtb2Lo4GzsUvRBUKiiSkyH18TF2KHojT3wCu8o+FrtUtjI7B4JCDjuRY4lNnSAIUDx5atGfM/KnSbDz8oTE1tbYoZQPJxobhL29PdLS0kq9Jicnp8SRO9oQlRTEx8dj+PDh+PDDD0VXTGXLu3cPqXt/huurr1pkUqDMykL60V+gSE5G5ZEjjB2OzgkqFbIuXUb6kaPwHTfG2OHoRf6jx0j9+QAc69aBhwX+G1Xl5iLjxCnk3roN3wnjjB2OzgmCgJxr15H680H4RBbvkrYE8qRkpB04CDtPT3i+0d3Y4eicSi5H5ukzyPrjT1SZOsnY4ehFzs1bSN37Mzx79rDIpECRnoG0Q4cBlQDvQQOMHU75caKxQQQGBuLgwYMYPnw4bGxsip1XKpXYt28fAgMDRdchKilwdnZGgwYNRFdKpZM/fYrUnw8g+88rsA/wh0vTYGOHpFOq/HxknDqN9KO/QMjLQ9X33jF2SDolCAJy4+KRum8/8hMewL1jB9h5yowdlk4pUtOQduAQnp2/AFuZDJVHRBo7JJ0SFApk/vY70g4dherZM/iOHwuJhg9hc5Z75y5S9/6MvL/vwKVFKOyrVjF2SDqlfPYMaYePIvPMb7BxsIf/rBnGDkmnBJUKWRcuInX/ISjT0uA9bAgkFrYqYP6Dh0jd+zNyYuPgWD8IToF1jR2STqlycpD+ywlknDwFQSUgYOYHxg5JFC5JahgDBgzAzJkzMXDgQAwcOBCBgYHq1Yfi4+Oxbds2xMbGYsGCBaLrEPUJ0qFDB5w7d47zBXRMkZGB9ENHkPnbOUBV8L/M843uFtMYEZRKPIu5gLSDh6BMzwAAuDRvBnv/qkaOTHfy7t1H6r79yI2/CQCwcXKCR6eORo5Kd5RZ2Ug/9gsyTp0GFAoAgGf3CItpjAgqFbL+vIy0nw9C8XwNaMegenAKqmfkyHQn//FjpO47gJy/rhUcsLWFZ7euxg1Kh1R5ecg4fhLpx09CyMsDAHh07gRbZycjR6YbgiAg5/oNpO7bD/mjxwAAadWqcGkWYtzAdEienIK0AweRdfESIBTMYrWkXh5BoUDG6bNIP3IUqqxsAID76+1h5+lp5MhEYk+BQfTr1w83btzA5s2b8ddff2m8ZuzYsXjzzTdF1yHqm3zmzJl45513MHfuXPTv3x/+/v4lLk3q5GQZH8T6pMrNLXhacOIkhHy5+rhjvUA4WkBjRBAEZF/9C2n7DkD+5Mn/TtjaQtYtwniB6ZD8aRJS9x9E9qU/ixz36NzRIsahq/LlyPy1oHdHlZOjPi6tWgUuoU2NGJnu5MTFI3Xvz8hPeFDkuKU0RhRpaUg7eBjPzp1XN7QAwP21NrDz8jJiZLohKJX/693JzFQft5XJ4PZaGyNGpjsv9u68yKtnD4t4eFTQu3MMmWfOAkql+rhLaDM4BPgbMTLdEFQqZF28hNT9B6FMTVUflzg6wqOz+T48krCnwGBmzZqFPn364NChQ7h9+7Z6R+PAwEB07969QkOHAJFJweuvvw4A+PXXX7Ft27YSr5NIJLh+/bq4yKyAoFAg88xvSDt8FKqsrGLnPd/obvaT4nJv/43U//6MvH/+KXbOvW1rSCuZd2NEmZmJtENHkHn2d3XvTiFbDw+4vdbWSJHphqBU4tn5C0g7cBjK9PRi5y2hJyvvfkJB705cfLFzLs2awqFagBGi0h1ldjbSjx1H5qlfIcgVRc5JHB3h0aWTkSLTDUGlQvblK0j9+SAUSUnFzsu6dYVNBSbemYL8xCdI+3k/sq8UfzroGFgXjvXN++GRKi8PGSd/Rfqx4+reHTVbW8i6m3dPliAIyLkRW9C78/BRsfMFD49cjBCZjrCnwKAaNWpU5ipEYolKCgq3UK7IVsqliY2NxZIlS3Dx4kUoFAo0btwYU6ZMQVhYWIllIiMjERMTo/FcVFQU3nnHdMatCyoVsv64hLT9B6FISdV4jXPTEDhUr2bgyHQn/9EjpO7bj5xrNzSelzg4wKNLZwNHpTuq3FykHz+JjOMnIeTna7xG1q0rbOzNszEiCAJy/rpW8CWW+ETjNY5168CpQX0DR6Y78qQkpP18EFkv9e6o2dpC1t18e7JU+XJknn7eu5Odo/Eaj06vm3VjJCf+ZkHvzv0Ejeelfr5wbRFq4Kh0R5GWjrRDh/Hs95givTsv8uxpvg+PBKUSmb+fQ/qhI1BmZGq8xq1Na0grme/KbXl3/0HK3p+Rd/tvjedtPdzh3s68Hx6Z6j4FYtqS5SmXkJCAL7/8EmfPnkV2djYCAwMRFRWF8PBwfb4tpKSk4I8//kBSUhIyMjIgk8lQuXJlNG3aFB4eHhW6t6ik4JdffqlQpaW5d+8ehg4ditq1a2Px4sVwdHTEhg0bMHLkSGzZsgXBwSVPum3UqBHmzJlT7HjlyqaxWoEgCMiJjUPq3v2QP3xY8oU2NvA008aIIjUVqfsPIevCxRK/xIDnjRFX82uMCAoFMs/+jrTDR6B6Vrx3p5A5N0Zy/75TMEThzt1Sr/Ps2cMsGyPKzEz1BNSXe3de5Na6lVkuIyuoVM97dw5BmVa8d6eQrbs73Nu/ZsDIdCcv4QFS9/6ssXfnRZ5mOqxGmZ2DjGPHkXHqVLHenRc5hwTDoXp1A0amG4IgPO/dOQDF0+K9O4UkDg6QhZtnT5Y88QlS9x9A9uWrpV4ni+hq/stxm+DwIbFtSW3LpaenY8iQIXBycsKcOXNQqVIl/PTTT5gyZQqWLVuml8RAqVTi888/x/bt26F8PryucE8wAJBKpRgxYgSmTZsmug6Tmx24cuVKKJVKrF69Gl7Px7mGhoYiPDwcS5cuxfr160ss6+LigsaNGxso0vIpXF409+btMq91a/0qpD7eBohKdwqXF8349Yx6AmpJbN3dzK4xUrC86J8FvTvJKWVe79mjm9mtNZ3/6PHz3p2yh/w5BzeGQw3zaoyoe3dOnCo+ROEl5tgYUS8vum8/5I8Ty7xeFhFudo2RwuVFsy5eKvNah9q14NTQvFbJK1xeNP3IsRJ7d9RsbODZw/weHhUuL5p/736Z13p07ABbPY1I0JfC5UWf/R5T6kMHAJBWrgzXsOYGikyPTHD4kNi2pLblNm7ciCdPnmDv3r3qcfzNmzfH7du3sXjxYr0kBd999x02b94Mb29vdOzYEb6+vnB1dUVmZibu3buHkydPYs2aNfDw8MCoUaNE1SE6KVAoFLh06RISExOhKKURWJ4VigRBwNGjR9G6dWv1LwMo2LAhPDwcmzZtQkZGBtzNaHOWF5cX1YbE3h6yrl30HJXuFFleNDdXqzIeXbvAxkw2vFMvL7r3Z+Q/KKV35wUOtWrC6RX9jPfThxeXFy2td0fNxgae3bvpPzAd+d/yoqX37rzI4/X2sHVz03NkuqNt704hOx8fuLZsod+gdOjF5UVfnIBaGnPqyXp5eVFtuLVqaVabzb24vKg2bNzc4N6hnZ6j0h318qInTkGQy8suAED2Rneze3ikialNNBbblixPuSNHjiAoKKjIxF6JRIIePXpg/vz5iIuLQ1BQkE7f108//YTGjRtjw4YNcHYuvoDJs2fPMHz4cOzYscOwSUF8fDzGjh2LxMSSn0YVdmmUJyl4+PAhMjMzNc6eDgwMhEqlQnx8PJo3N/3MWtPyotpwN5PGiKblRbVh5+MNt1db6jEy3cm7n1DQu/N8eVFtmUtjRJmdXdC788LyotpwfTXMLDYQ0rS8qDZsXF3NpjGS/zixoHencHlRLXmaSWNE0/Ki2nBu/Aoca9XUX2A6oml5UW1I7KXwMJOHR5qWF9WGzEweHmlaXlQbDjVrwLmx+Tw8Midi25LalgsJCcHff/+NiIjiPXWFZW/cuKHzpODx48cYN26cxoQAKJjnO2jQIMybN090HaKSgs8//xyPHz9GixYtEBwcDEdHR9EBvCj5+Re3p4a1eguPJZfy5Z6amorp06fj999/R1JSEmrUqIEhQ4Zg6NChOomvPGwcHOAYWBfKrCzkXLuh1ZMDG1cXeLze3gDR6YCNDeyrVoFLs6bI+vNKkeXVSmNOw2ps3d3g3LgRBIWi4AmsFl9oTq80gmPtWvoPTgds7O3hWLsWlBkZyP7rulY9PRJ7KWRd9TuJSmckEtj7+cKlWQiy/rwCxdOnWhWTde0CGx19pumbrasrnBs1gCCXI/fmLa0eQNjXqA7nJq8YILqKk9jZwaFmDbg0DUH21avaNbokEsh6mEdPlkQigdTbGy5NQ5AluaxxZRpN3Du0h52Z9JjbOjvBKSgIqpzcgl4CLXp67Ly94dbKPB4ewcYGDtX84dKsKbIvXylxwvTLzOXhkTYkJjbRWGxbUttyGRkZkMvlpV6XklL2MOPy8vT0hKqMz3iVSoVKFZiYLyopuHz5Mvr164fPPvtMdMWa5D9fxUXTngfS50vK5ZbScElISEB4eDi+/PJLZGRkYPv27Zg7dy5yc3NFd6WIZePgAJeQYLiEBEOVl4f0X04g/dCRUsvIws2nMSKRSOBQozocalSH55tvIO/vO0hc832pDUv76tXgHNzEgFFWjJ2HB9xfawv319pCkZ6OpG0/Ire0rm+JBJ5m0hgBChpczq80gvMrjdQTqFN+2l1qGff27WDnYR6NEYlEAvuqVWFftSpk3SOQ/+Ahnny3ttQvbTvvSubTGAFg6+oCt1avwq3Vq1A+y0LKf6JLXk3pOS8zaoxIbG3hVD8ITvWDIAzoi6xLfyJpy/ZSE3TXlmGw9/M1YJQVI/WtDFl4Z8jCO0Oe+ASJa78vdfKtjYsLPDp2MFyAFWTj5ATXFqFwbREKVU4OUn8+gMzTZ0st4/mG+Tw8ktjYwLFOHTjWqQOvPr2QcyMWT77fUGry49SoARzr1DZglHqmMq3PE7FtSW3L5T3vtRTbVhWrU6dOOHHiBN56660Srzl16lSF5jOISgoEQUCLFrofj+rwvKtQruGpeuEvq6TN0JYvXw47O7siy6R26NABAwcOxLJlyzBw4EC9LaFaFkVySpkfgnaVvODW+lUDRaRjSmXB+tJl/Ccw5ycjObHxZa504hrWAvZV/AwUkW4p0jOQfvxkqdfYuDibVWOkCEFAxslTZT7F8+zezWx3Z867exdZV0pf6cSpYQM41q1joIh0S/V8uFtpCYFEagdZhJn0ZL1EEARk/n6u1IQAAGThnc3m4dHL8h89xrOYC6VeY24Pj14k5OcX/BstrTdEIrGYDRHVTKynQGxbUttyFWmrVsS7776Lf//735g4cSIGDRqEevXqwdXVFbm5ubh9+za2b98OuVyOcePGISen6EIF2sYj6tuvbt26eKplV3x5+DyfNKWp2yXp+aY0PiVMrJLJZMWOSSQSdOrUCZcvX8atW7cQEhKis1i1lf/wER5/863GzcleJDPTxoigUODJ9xuQc13zfgSFnOoHwSmwroGi0q3Mc+eRvP3H0ocP2ZlvY0SenILHK1aVOQTMo0tn2JjhDuWCSoWkbTuQdf5iqdfZB/jDOcQ8GyPZf13Dkx82WmxjRJmZicfffFvmqkpu7V6Dnaxi63QbgyAISP3vPmSUkZjbeXnCrU0rA0WlW7l/30Hit2tK3NelkLlu2qnKzUXi6rVlTvZ3bREK+ypVDBOUgZjaRGOxbUlty3l4eMDe3l5UW7UiWrZsqR4+VNrWAG3aFN3BvTwbCYtqhY4dOxbz589H3759KzR26WV+fn7w9PREXFzxIRpxcXGQSqWoV0/zzo0qlQoqlQp2LzWsC7twHIwwYamkhEBaxa/gy+15I9M+wB8uTUvef8FUlZgQ2NnBzssTiifPE0eJBJ49exg+QB0oKSGQVq1aZK8J93ZtYecpM3B0FVdSQmBXqRKUz56pJ3faenrCvW1rY4RYISUmBBIJpH6+RSZ3muua9iUlBC//G3Vp3gz2Vc2vMVJSQmDzfEEGVWZB74+NsxM8Or1u8PgqqrSE4OXfobk+PCopIXj5/TnWD4JTveKTPE1dSQmBxMEBti7O/9uk1M4Osm7mvTuzRibWUyC2LaltOVtbWwQGBpZ4HQC97Djs66v/YZGiPl1sbGzQvHlzdO3aFT169EDNmjU1jq0CUO5Jvl27dkV0dDSePn2qzrSys7Nx+PBhtGvXDi4adt+8d+8eunfvjsjISHzwwQfq40qlEkePHoVMJkPduoZ9Sl1iQlC1KvwmjMPTDZsKJgbCPBsjpSUElUeNgCozE0lbdwAAXEKbwt6/qhGirJiSEgLXV8Pg1ftN3P/oEwhyBWycnODRqaORohSvtITAb1IUUvftV68H79k9wuwaI6UlBN5DB8PGxRlPVq8FADgG1YNTkOYHDqaspITAufEr8I4cioS5n0H17BlgawtPM2yMlJYQ+E0ch2e/xSDj5CkAgEfnTrAtYVUOU1VaQuDVpxcc6tTGo8VLARR8d7g0CzFwhBVXUkLgUKc2fMeOwqOly9S/X3PsySotIfAdPxZ5t24jdd9+AID7a21gp2FyqrkztYnGgLi2ZHnKRURE4Msvv0RsbCzq168PoODh9N69e1G/fn3UqqX7BUf0uXFwIVHf8hMnToREIoEgCNixY4fGrr7CJUnLmxRMmDABBw8eRFRUFCZPngypVIo1a9YgJydHvUtbTEwMRowYgY8//hgDBw5E9erV0aVLF2zYsAF2dnZo3bo1srOzsXXrVsTHx2PevHnqyR+GUFZCYOvqAueQJsi9eQuO9QLNrjFSVkLg3KA+lNk5gO0uAICsm/ltsFNaQlDprf6Q2NjAqUEDZF+5Co/OHWHrYl6NkbISAjtPTzgHByPr4iVIq1aBS2hTI0UqTlkJgWvzZhCUStg4O0GVnWOWjZHSEgKft4dBYmcHl+DGyDzzW0Fj5IV1t81BWQmBvZ8fnEOaIOPkKdjKZHB7rU0JdzJNZSUE7u1fgyAIsPOuBEVScsEEcTN7eFRWQlC4IEfawcNwCW0GhwB/I0UqTlkJgWPNGrB1dUXqvv2QODrCo7N5bYioNRObaAyIa0tqWw4Ahg0bhl27dmHy5Ml47733IJPJsH37dty+fRtr1641ynvWhQolBfrg6+uLrVu3YtGiRZg2bRoEQUBISAg2btyoftovCAKUSmWRpZkWLFiAhg0bYufOnfjhhx8glUrRsGFDrFq1Ch07Gu4prjYJAQC4NGmMlP/sNrthNdokBEDhMnSBkPr4QFrJvBoj2iQEAOAc0gR5/9yD22ttjRGmaNokBEDBPBCJg0PBGF8zaoxokxAABSvbOL/yCgSFAg7VAowQqXjaJAQA4BwSjGcXL8Gji3k1RrRJCADAoUZ12Mo8IOvWFTYGfPBTUdokBEDBWGCX4GDk3bsHx/rm9fBIm4QAKPgcTTtyDLLu5tWTpU1CAABS70qwrxYAl+AmZvfwSFum2FMgti2pTTkAcHZ2xqZNm7Bw4ULMnj0bOTk5aNiwIVavXo1WrfQ37yc/Px+XLl3C06dPdbZx8IskglCO3UQsXK2vv6xQeW0TgkKZv/0Ot1bms+KQtglBoawrV+FYu3ax923KtE0IgIKNlbL/ug5XM3qKrm1CUCjzt9/h+mpLs5n4p21CUCgn/ibsvDwh9fY2YJQVo21CABT8PJ7FXIDbq2GGDlM0bROCQpm/x8A1rLnZJK7aJgSF8hIeAColHKpXN1SIFaZtQlDI3L4LtU0ICj278Aecm7wCmxKGWevDnanvGqyuevOXGqyuQvEz3jF4ncb2xx9/YOLEiUgrZdfzwlE6N26UvvhLSbTqKfj6668xdepUURXo4z6mqLwJAQCz+hAsb0IAFPSGmJPyJARAwV4UlpwQAGb2b7ScCQEAs5vUWJ6EAChYQ92SEwIAZvX+ypsQADC7ITXlTQgA8/qcKW9CAEDjZ49F4aNlg1i4cCHS0tLQunVrNGzYUC8L6GiVFKxZswZXr17FvHnz4KfhQ7ksjx49wqxZs3Du3DmLTQry7twtV0JgbhRp6ci7n1D0YCkJgbkRBAE5169rnRCYo/yEBChfesJQWkJgblRZWcj7+27Rg6UkBOZI046wJSUE5ij/cSLkSUV3Gi0tITA3Qn4+cuJuFjteUkJgjnJv3ipXQmBu5EnJyH9h1TKg9ITAKjApMIibN29i2LBhmDlzpt7q0Kqls3LlSvz555/o0qUL5syZg4SEhLILoWCH4U8++QTh4eG4fPkyVq1aVaFgTZlbm1bw6tNL/XdLSgiAgnGRfhOj1MsAWlJCABSM3fWJHArnJq+oj1lSQgAALsFN4D1sMPB8KJAlJQQAYOvmBr9J42FXuEyyhSUEAODVtzdcX/3fjsuWlBAAgFNgXVQeNQJ4/n4sKSEACnoX/SaOg7Tq/1Zjs6SEAAA8wjsXmcNiSQkBUNBz4xc1BpLnG8hZfUKAgjkFhn5ZIwcHB70sdfoirecU3L9/Hx9++CEuXLgAiUSC2rVro02bNqhVqxYqVaoENzc3ZGZmIjk5GXfu3MGZM2fw999/q3c/nj9/PqpVq6bXN1NRFZ1TAAAZJ39F5rnzFpUQvCj/cSISV69Fpbf6WUxC8CJBocDTjZth4+xsUQnBi55d/ANpBw/Db8I4i0kIXqRITcPjld9C1jXcohKCQoJKheQf/wNVVpZFJQQvyr4Ri+Qf/wPfcaMsJiF4kTIrC4krV8M1rIVFJQSFBEFA2v6DyP37jkUlBC/Ku/sPnqzfBJ8RkSaZEBhyTkHQXMPPKYibbX1zCt5//304Ojpi7ty5equj3BONjxw5go0bN+LSpUtQKBQlLkdqZ2eHpk2b4u2330bnzp11FrA+6SIpAAoalpb4RV3I4t+fUglIJBaZEBSy+N+hpb8/lQoQBEhsbY0dit5Y/O/Q0t+fIABKpWW/RxP+HRoyKaj/ieGTgthPrC8pSElJwb/+9S+89tprGDBgAPz9/Ytt2FtR5b5bly5d0KVLFzx79gy///477t69i5SUFGRmZsLNzQ1eXl6oWbMmXn31Vbi6uuo0WHNhqh8SumLx78+CG1qFLP53aOnvz4IT1kIW/zu09PcnkaiHgVkqS/8das1Kh/MYmpOTE5o0aYJ169Zh3bp1JV4nkUhw/fp1UXWI/hft6upqNj0ARERERKR71jrG39DmzJmDPXv2AAAqVaoEez0sccs0l4iIiIhEkajKvoYq7sSJE2jatCmWLl0KX19fvdTBpICIiIiIxGFPgUHk5eWhf//+eksIACYFRERERCQSewoMo379+khKStJrHZY/W42IiIiI9EMwwssKvf/++9i+fTuuXLmitzrYU0BEREREorCnwDAOHjyIoKAgDBw4EIGBgfD399c42VgikeCrr74SVQeTAiIiIiISx0qf3Bvahg0b1H+Oj49HfHy8xus07R+mLVFJwfnz51GtWjX4lbLT5F9//YUtW7bg888/Fx0cEREREZkuLklqGBs3btR7HaKSgsjISLi7u2PRokVo3769xmsePHiA3bt3i0oKYmNjsWTJEly8eBEKhQKNGzfGlClTEBYWppdyRERERCQChw8ZhCHasqInGmdnZ2P8+PFYvXq1LuPBvXv3MHToUKSmpmLx4sX49ttv4erqipEjR+Ly5cs6L0dERERE4kiM8LJm+fn5OH36NDZu3IjVq1dj8+bN+O2336BQKCp8b9FzCj766CMcOHAAX331Fa5fv44vvvgCTk5OFQ5o5cqVUCqVWL16Nby8vAAAoaGhCA8Px9KlS7F+/XqdliMiIiIicTjR2HCio6PxxRdfICMjAwAgCIJ6DoGPjw/mzp2LDh06iL6/6J4CT09PfP/993j77bdx6NAhDBo0CAkJCaIDAQre3NGjR9G6dWt1wx4A7O3tER4ejnPnzql/ELooR0REREQVwCVJDeL06dOYMWMGlEolevbsiXfeeQczZszA1KlTERERgczMTEyaNKlCS5ZWaPUhGxsbTJ8+HY0aNcJHH32E/v37Y+nSpWjVqpWo+z18+BCZmZkIDAwsdi4wMBAqlQrx8fFo3ry5TsoRERERUQVYaSPd0H744QdUr14dmzdvho+PT7HzDx48wLBhw7BmzRosX75cVB062bysZ8+e2LZtG5ydnTFmzBj88MMPou6TnJwMoKAX4mWFxwqv0UU5IiIiIhJPojL8yxr99ddf6N+/v8aEAAD8/f3x1ltv4eLFi6Lr0Nk+BQ0aNMBPP/2Ef//731i4cCFq1KhR7nvk5+cDgMbNGKRSKQAgNzdXZ+Vedmfqu9oHS0RERGTluCSpYWRlZaFy5cqlXlO1atUKDZfXSU9BIZlMpp5ncPfu3XKXd3BwAADI5fJi5wob/pomM4stR0RERETisafAMGQyWZlt63v37kEmk4muQ1RPwbFjx1CpUiWN5wrnGTRv3hyxsbHlum9hl0hKSkqxc0lJSUWu0UU5IiIiIqoA9hQYRIsWLbBt2zaEh4ejQYMGxc5fuXIFmzdvRtu2bUXXISop8Pf3L/Oazp07o3PnzuW6r5+fHzw9PREXF1fsXFxcHKRSKerVq6ezckRERERUAUwKDGL8+PE4fvw4+vXrh6ZNm6Ju3bpwdnZGVlYW4uPjceXKFTg5OWHChAmi69DZnAJd6dq1K6Kjo/H06VP10/3s7GwcPnwY7dq1g4uLi07LEREREZE41jqcx9Dq1auHdevW4ZNPPsHFixeLTSh+5ZVXMGfOHNSpU0d0HRJBEEwqx0tMTMSbb76JgIAATJ48GVKpFGvWrMHly5exc+dO1K1bFzExMRgxYgQ+/vhjDBw4UOtyRERERKQ7zUcvMXidF9ZOM3idpuTu3bu4desWsrOz4eLignr16qFatWoVvq/J9RT4+vpi69atWLRoEaZNmwZBEBASEoKNGzeqG/aCIECpVEKlUpWrHBERERHpDnsKDEsulyMgIAA1a9ZUH0tLS0N+fr7GVTjLw+R6CoiIiIjIPLT4l+F7Cs7/YJ09Bbt27cKiRYuwYcMG1K9fX318586dWLBgAWbMmIG+ffuKvr9OlyQ1R7GxsRg7dixCQ0MRHByMYcOGISYmxthhUTmcPXsWgwcPRnBwMMLCwjBkyBCcPHnS2GGRCOfPn0f9+vURGRlp7FConLKzs/HFF1+gXbt2aNKkCXr06IEdO3YYOyzSgkqlwq5du9C/f380b94cwcHB6Nu3L3bu3Gns0KgUsbGxiIiIQFBQEG7fvq3xvCHaNxLB8C9rdPLkScyaNQs2NjawtbUtcq569epwdXXFzJkzcfbsWdF1WHVScO/ePQwdOhSpqalYvHgxvv32W7i6umLkyJG4fPmyscMjLfzyyy/417/+BVdXVyxfvhyLFi2Cg4MDxo4diwMHDhg7PCqH/Px8fPTRR2DnpflRqVSIiorCzp07MX78eKxduxZNmjTB7NmzER0dbezwqAyLFy/GzJkz0aRJEyxfvhzffPMNAgMDMWvWLKxZs8bY4ZEGW7ZswYABA/Ds2TON5w3ZvuE+BYaxZs0aNGzYEEeOHEFgYGCRcy1btsSBAwfQsGFDLF++XHQdJjenwJBWrlwJpVKJ1atXw8vLCwAQGhqK8PBwLF26FOvXrzdugFSmpUuXombNmli5cqV69+qwsDB06NABmzZtQrdu3YwcIWlr5cqVyMjIwCuvvGLsUKic9u/fj3PnzuGrr75S/58LCwvDw4cPcenSJfTp08fIEVJpfvzxRzRt2hSzZ89WH2vTpg0uXryIffv2YcyYMUaMjl4WExODBQsW4OOPP8ajR4+wYsWKYtcYtH3D5zgGce3aNXzwwQdwdXXVeN7JyQn9+/fHwoULRddhtUmBIAg4evQoWrdurf4PAwD29vYIDw/Hpk2bkJGRAXd3dyNGSaURBAHjx4+Hl5eXOiEACv5j1KhRA48fPzZidFQe8fHxWLt2LebMmYPdu3cbOxwqp927d8PPzw8RERFFjm/YsMFIEVF52Nvbw9nZucgxiUQCV1dX9tyZIJlMhu3bt5f4VNjQ7RuJynz/jSiVSnz33XeIjo7Gw4cPUalSJXTv3h1Tp06Fo6NjhcsmJCSgU6dOJd7j8OHDqFGjhlax2tjYlBlTRScaW21S8PDhQ2RmZhbrggGAwMBAqFQqxMfHo3nz5kaIjrQhkUjQvXv3Ysflcjn++ecfjTv+kelRqVSYPXs2mjZtin79+jEpMEOXL19G27ZtIZFIjB0KifCvf/0LS5Yswa5du9CjRw8IgoA9e/YgNjYW8+fPN3Z49JKyNmM1dPvGnMf4z5s3Dz/++CMmTZqEsLAw3Lx5EwsXLsTdu3exatUqnZWdNGkSOnToUOweVapU0TrWoKAgHDp0CL1799Z4XqlU4qeffqrQiptWmxQkJycDADw9PYudKzxWeA2Zl+XLlyMtLQ1DhgwxdiikhW3btuHatWvYs2ePsUMhETIyMpCRkQE/Pz9s2bIFGzduxIMHD1C5cmUMGzYMb7/9drFJcWRaxowZA2dnZ3zyySeYOXMmgIIe1wULFqBXr15Gjo7Ky9DtG4lSZ7cyqPv372Pbtm0YOXIkxo8fD6BgiJVKpcKcOXNw4cKFEhOn8pb19/dH48aNKxTvW2+9henTp2PUqFHo06cPqlevDgcHB6SnpyMuLg67du1CfHw8Pv30U9F1WG1SkJ+fD0BzV0vhUJTc3FyDxkQVt337dnz33Xfo27cvwsPDjR0OleHx48f48ssvMXbsWNSuXdvY4ZAI2dnZAIBDhw6hWrVqmDFjBuzt7bFv3z4sWLAASUlJeP/9940cJZXm5MmTWLBgAbp164ZevXpBLpdj9+7dmD17Njw9PdGuXTtjh0jlYPD2jZn2FBw7dgyCIKBnz55Fjvfo0QNz587F0aNHS0wKKlJWrN69eyM+Ph4//PBDiSsMDR8+HP379xddh9UmBQ4ODgAKhpq8rPA/lJOTk0FjoopZsWIFli9fjp49e1YoUybDmTNnDipXroxx48YZOxQSqbAXQC6XY/Xq1eoxr61atcKTJ0+wYcMGjB49usjYZjId+fn5mDlzJpo2bYpFixapj7/++uvo16+fuoFD5sPQ7RtzHT4UFxcHiUSCOnXqFDnu4eGBypUr48aNG3opWxHvv/8++vXrh3379iE+Ph5ZWVlwdXVFnTp10K1btyJ7F4hhtUmBj48PACAlJaXYuaSkpCLXkOn7+OOPsX37dowePRrvvfcexzabgUOHDuH48eNYvXo15HK5+gtMqSzoi87KyoJUKq3wxCnSL5lMBltbWzRq1KjYJLg2bdrg1KlTuHnzJlq2bGmkCKk0d+/exdOnTzFixIhi58LCwvD9998jOTkZlSpVMnxwJIqh2zfmOtE4OTkZrq6uGr9jPD09Nf78xJb9/fff8Z///AdxcXFQqVQIDQ3F1KlTRa22V6dOHUydOrXc5bRhtUmBn58fPD09ERcXV+xcXFwcpFJpmZN5yDQsXboUO3bswMyZMzF8+HBjh0NaOn78OARBwNixYzWeb9asGSZNmoTJkycbODIqD6lUirp162r8Ai1M8F5cHYxMS+EwEoVCUexcYaJe+HSZzIPB2zcmlhPI5XLcu3ev1Gvc3NyQl5dX4kMnqVSK9PT0EsuXt+z169cxZswYVK9eHbdu3cLy5csRGRmJvXv3IiAgoIx3pFlubi7Wrl2Lvn37omrVqqLu8TKrTQoAoGvXroiOjsbTp0/VWXN2djYOHz6Mdu3awcXFxcgRUlmOHj2Kb7/9Fu+99x4TAjMTFRWlcezjvHnzAACzZs3S2Qcd6Vf37t3x9ddf4+bNm0VWPDl58iScnJwq3KVN+lO3bl04OjrizJkziIqKKnIuJiYGPj4+8PPzM1J0JJYh2zem1lOQmJiocWXCF/Xp0weOjo4ah1gBBYlwact/alu2SpUqOH36NGQymfrhSNOmTdGkSRP07t0bX3/9dZFhe+WRk5ODb775Bi1btmRSoAsTJkzAwYMHERUVhcmTJ0MqlWLNmjXIycnBtGnTjB0elUGhUOCLL75AQEAAWrZsiatXrxa7JigoiMNPTFTNmjVRs2bNYsfd3NwAgMsBm5Fhw4YhOjoao0ePxvTp0yGTyfDf//4X586dw+TJk4utgU+mw9nZGWPGjMHy5cvxwQcfqJckjY6ORlxcHD7++GMOxzQxCQkJSE1NBQA8efIEAHDr1i31pP+goCCDtm9MbU5BQECAxl6Sl82cOROZmZnIz88v1k5ITk4u9WGGt7e3VmVtbW01DtUKCgpC9erVNbZbykPX+4hYdVLg6+uLrVu3YtGiRZg2bRoEQUBISAg2btxYoXVeyTAeP36M+/fvAwAGDBig8Zpjx46J7pojIu24urpi8+bNWLx4MebMmYNnz56hVq1amDdvXon/N8l0TJo0Cb6+vtiyZQsOHDgAiUSCwMBALF26tMwnrmR4K1asQHR0dJFjU6ZMUf+58HvPYO0bE0sKtNWgQQMIgoCbN2+iUaNG6uNJSUlISkoqcqwiZTUlDkDBECQPDw8dvRvdkAjcrpCIiIiIRGjfY6HB6zz5c8WXOU5MTETHjh0xdOhQzJgxQ3183bp1WLhwIXbv3l3iJqjall2xYgVWrFiBvXv3FhlaeeXKFQwYMACRkZGYNWuWqPhTU1PRqlUrbNq0CS1atBB1j5dZdU8BEREREVWAmT5a9vX1xciRI7Fu3Tp4enoiLCwM165dw7Jly9C3b98iCcHbb7+NO3fu4NSpU+Uq27dvX2zduhXjxo3DxIkTUaNGDdy8eRPffPMNvL29MWbMGK3jvXfvHqpXr67+u4ODA/r06QNvb28d/UTYU0BEREREInWIWGDwOk8c/EAn9xEEAevWrcOPP/6Ihw8fonLlyujduzfGjx9fZNW0yMhI/P333zhz5ky5y/7zzz9YtmwZzpw5g8zMTHh6eqJt27aYMmVKuSYI169fH6+++ireeustdOnSRS+rujEpICIiIiJRXu9q+KTg+CHdJAXmZNCgQfjzzz8hkUjg4eGB3r17Y8CAAcU2UKsIJgVEREREJMrr4UZICg5bX1IAAA8ePMDevXvx888/4+bNm5BIJAgJCcHAgQMRERFR6jKq2mBSQERERESidOz0hcHr/OXYdIPXaWri4uKwd+9e7N+/Hw8fPoSbmxt69uyJAQMGlDhBuixMCoiIiIhIlE4dPzd4ncd++dDgdZqyc+fO4auvvsKff/4JAAgNDcWYMWPQvn37ct2Hqw8RERERkTgmtqOxNUlMTFQPJ7px4wYAICQkBLdv30ZUVBR69uyJzz77TOtJyUwKiIiIiEgUU9vR2NKpVCr88ssv2LVrF06fPg2FQgF3d3dERkZi0KBBqFOnDnJycrBs2TL88MMP8PLywvTp2g23YlJARKQD169fx9ChQ9G5c2csWrTI4PWfOnUKUVFRGDNmDN555x2D109EVoqj0A3in3/+wa5duxAdHY3k5GQIgoAmTZpg0KBB6NGjBxwcHNTXOjk54YMPPkBycjL27NnDpICIyFDS09MxYcIEBAQEYN68eUaJoV27dpg0aRK+/vprNGjQABEREUaJg4isi0TJpMAQunbtColEAicnJwwYMACDBw8uc0Lxa6+9hr1792pdB5MCIqIK+uyzz/Do0SMsWbKkyNMaQxs3bhwOHjyIjz/+GGFhYfDy8jJaLERkJZgTGERQUBAGDRqEN998Ey4uLlqVadq0KRYvXqx1HTZigyMiIuDatWvYs2cP2rZti2bNmhk1FltbW7z77rtIS0vDt99+a9RYiMg6SFQqg7+s0Z49ezB48GCtEwIACAgIQI8ePbS+nkkBEVmlCxcuoEGDBhg8eDBeXpl5165dCAoKwgcflL1BzqZNmwAAo0ePLnL8p59+QlBQENavX4/z588jMjISoaGh6jGgMTExRa6PjIxEUFAQUlJSsGDBArz22mto0qQJevbsiWPHjgEA9u7di169eiE4OBgdO3bEvHnzIJfLi9ynXbt28Pf3x86dO5GdnV3unwsRUbmojPAivWBSQERWqXnz5hg1ahT++OMPbN26VX08KSkJCxcuhL+/Pz766KNS7yEIAk6dOgUXFxe0aNFC4zWXL1/GlClTEBYWho8++giDBg3C1atXMW7cOCQlJRW7ft68ebh79y6mTp2KUaNGqf/8/fffY/ny5ejbty8+/PBDODg4YNOmTdiwYUOR8hKJBG3btkV2djZOnDhR/h8MEVE5SATB4C/SD84pICKrNWXKFJw+fRpLlixBp06d4Ofnh3nz5iEzMxMrV66Eq6trqeVjY2ORnJyMjh07ws5O88fpwYMHER0djfr16wMAevfujfT0dOzevRunTp1C3759i1yfkZGBtWvXqv+enJyMHTt2YPny5Thy5Ai8vb0B/G986fHjx4v1UrRt2xY7duzAhQsX0L1793L/XIiItGalw3ksEXsKiMhq2dvbY9GiRZDL5fjkk0/wyy+/4MCBAxg7diyaN29eZvk7d+4AAGrVqlXiNa1atVInBIWCg4MBFGw887IBAwYU+Xvh6hIdO3ZUJwQA0LBhQwDA06dPi92jdu3aAICEhIQy3wMRUYVw+JDFYE8BEVm1wMBAvPvuu5g/fz7OnTuHRo0aYdKkSVqVTU1NBQBUqlSpxGtq1qxZ7JijoyMAQKFQFDvn7+9f5O+FqxmVdFzTPQpXHUpJSSkxLiIiXbDWib+WiD0FRGT1evfuDQcHB2RnZ6NPnz5abwmfkZEBAHBzcyvxmvIuUWpvb6/xuLYxvRhPZmZmueomIio3QTD8i/SCSQERWb25c+dCoVCgTp06WLZsGR49eqRVOXd3dwCm1/gujKe0ZIWISCeUguFfpBdMCojIqu3fvx/79u3DqFGjsHz5cuTm5uL999+HSosucU9PTwAFk4FNSWE83LyMiPSNqw9ZDiYFRGS1EhMTMWfOHNSpUweTJ09GnTp1MGnSJMTExGDdunVlli+cYFw44dhUFMYTEBBg5EiIyOJx+JDFYFJARFZJEATMmDEDGRkZmD9/vnos/6hRo9CoUSN8/fXXuHHjRqn3qF+/PipVqoRz585pnPBrLKdPnwYArVZQIiKqEKXK8C/SCyYFRGSVtm7ditOnT2PEiBEICQlRH7ezs8P8+fMBAO+99x7y8vJKvIdEIkG7du2QlZWF8+fP6ztkrQiCgNOnT8PZ2RkdOnQwdjhEZOnYU2AxJILAny4RkVjXrl1D37590bZtW62GHOnbyZMnMXbsWIwYMQIffvihscMhIgvXrfZ7Bq/zwN+LDV6nNWBPARFRBTRq1Ai9evXC6dOn8ccffxg1FqVSiSVLlkAmkyEqKsqosRCRlRBUhn+RXjApICKqoBkzZqBKlSr4+OOPSx1upG+rV69GbGws5syZo14ZiYhIrzh8yGIwKSAiqiCZTIaVK1ciISEBs2bNMkoMv/76K1asWIGoqChEREQYJQYiskKcaGwxOKeAiIiIiETpFjDF4HUeSFhm8DqtgZ2xAyAiIiIiM6VUGjsC0hEmBUREREQkDgecWAwmBUREREQkDpMCi8GkgIiIiIhEETh8yGIwKSAiIiIicVTsKbAUTAqIiIiISBz2FFgMJgVEREREJA7nFFgMbl5GRERERKIIKpXBX7qiVCqxatUqhIeH45VXXkH79u2xYMEC5ObmalVeoVBgyZIlqF+/Pt555x291GFI7CkgIiIiInHMeIfhefPm4ccff8SkSZMQFhaGmzdvYuHChbh79y5WrVpVatlHjx5h2rRpuH//PkrbB7gidRgakwIiIiIiEkcwz6Tg/v372LZtG0aOHInx48cDAEJDQ6FSqTBnzhxcuHABzZs3L7H8+++/D1tbW0RHR6Nt27Z6qcPQOHyIiIiIiEQRlEqDv3Th2LFjEAQBPXv2LHK8R48ekEgkOHr0aKnlBw4ciPXr18PHx0dvdRgaewqIiIiISBTBTJckjYuLg0QiQZ06dYoc9/DwQOXKlXHjxo1Sy7/xxht6r8PQmBQQERERkShHlDuMHYIoycnJcHV1hb29fbFznp6eSElJMYs6dIlJARERERFZBLlcjnv37pV6jZubG/Ly8jQ21gFAKpUiPT29wrEYog5dYlJARERERBYhMTER3bt3L/WaPn36wNHREXK5XOP5/Px8ODo6VjgWQ9ShS0wKiIiIiMgiBAQEIC4urszrZs6ciczMTOTn5xd7mp+cnIz69etXOBZvb2+916FLXH2IiIiIiKxKgwYNIAgCbt68WeR4UlISkpKS0KhRI7OoQ5eYFBARERGRVenSpQvs7OywZ8+eIscL/96tWzezqEOXOHyIiIiIiKyKr68vRo4ciXXr1sHT0xNhYWG4du0ali1bhr59+6JBgwbqa99++23cuXMHp06dAlAwH+DlIUoZGRm4evUqgIKVhQICAspVhymQCKXtzUxEREREZIEEQcC6devw448/4uHDh6hcuTJ69+6N8ePHQyqVqq+LjIzE33//jTNnzgAAEhIS0KlTpxLv26dPH3zxxRflqsMUMCkgIiIiIrJynFNARERERGTlmBQQEREREVk5JgVERERERFaOSQERERERkZVjUkBEREREZOWYFBARERERWTkmBUREREREVo5JARERERGRlWNSQERERERk5ZgUEBERERFZOSYFRERERERWjkkBEREREZGV+3+Zz03LjXqmcAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 800x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "system = mm.System(name='zeeman')  # create the (micromagnetic) system object\n",
    "\n",
    "H = (0, 0, 1e6)  # external magnetic field (A/m)\n",
    "Ms = 8e6  # saturation magnetisation (A/m)\n",
    "system.energy = mm.Zeeman(H=H)  # define system's Hamiltonian\n",
    "system.m = df.Field(mesh, nvdim=3, value=(1, 0, 1), norm=Ms)  # define initial magnetisation\n",
    "\n",
    "system.m.sel('y').mpl()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "After we defined our system, we can minimize its energy using `MinDriver`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:52]... (0.4 s)\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAwUAAADaCAYAAAD35e4eAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy81sbWrAAAACXBIWXMAAA9hAAAPYQGoP6dpAABEaklEQVR4nO3deViU9fo/8PcAw64siuBxFxHFVAzcPWouuB1zzxU1V9x/macszbLMci8xl8yT+5Ke0GPfUtNKQ0+SVqbsrogosiigM8Asz+8PmjkCAw4Ps8/7dV1zXfJsn3tghOd+PsstEQRBABERERER2S0HcwdARERERETmxaSAiIiIiMjOMSkgIiIiIrJzTAqIiIiIiOwckwIiIiIiIjvHpICIiIiIyM4xKSAiIiIisnNMCoiIiIiI7ByTAiIiIiIiO8ekgIiIiIhsSlJSEmbMmIGwsDC0bdsWEyZMQFxcnN7n9u/fH8HBwbhx44bBr2+pmBQQERERkc1IS0vD+PHj8ejRI6xduxZbt26Fp6cnpkyZgitXrlR67r59+zBq1Cg8efLEKNe3ZBJBEARzB0FEREREZAiLFy/GiRMn8MMPP8DX1xcAUFxcjIiICDRu3Bg7d+7UeV5cXBymTZuGZcuW4f79+9i0aRO+/fZbBAYGGuT6lo49BURERERkEwRBwOnTp9GlSxftDTsAODs7IyIiAhcvXkR+fr7Oc729vXHw4EGMHDnSKNe3dEwKiIiIiMgmZGRkoKCgAEFBQeX2BQUFQa1WIyUlRee5zZs3R0hIiNGub+mYFBARERGRTcjJyQEA+Pj4lNun2aY5xhKvb05O5g6AiIiIiKyT8kEzk7fpFHC9wn3FxcUASobzlCWVSgEAhYWFots29vXNiUkBEREREYmiEtQmb7Oym1cXFxcAgEKhKLdPc0Pv5uYmum1jX9+cmBQQERERkShqWNYiln5+fgCA3Nzccvuys7NLHWOJ1zcnJgVEREREJIpCUJm8zcqewwcEBMDHxwfJycnl9iUnJ0MqlaJ58+ai2zb29c2JE42JiIiISBQ1BJO/nqdfv364cOECsrKytNtkMhlOnTqF7t27w8PDo1rv2djXNxcmBUREREQkigJqk7+eZ/bs2XBzc0NUVBR++uknnD9/HrNnz4ZcLsfChQsBlBQqCwkJwaFDh7Tnpaen4+rVq7h69SoePnwIALh+/bp2m2bOgD7Xt0YcPkREREREoqgEy5pTAAD+/v7Yv38/1qxZg4ULF0IQBISGhmL37t1o1qxktSRBEKBSqaBW/y/J2LRpE2JiYkpda/78+dp/nzlzBvXr19fr+tZIIggW+NMkIiIiIot3915dk7fZoN59k7dpD9hTQERERESiqPho2WYwKSAiIiIiUUxfpYCMhUkBEREREYmiECTmDoEMhEkBEREREYmiApMCW8GkgIiIiIhEUQhc3d5WMCkgIiIiIlHYU2A7mBQQERERkSgq1sG1GUwKiIiIiEgUDh+yHUwKiIiIiEgUFZMCm8GkgIiIiIhEUcDR3CGQgTApICIiIiJR2FNgO5gUEBEREZEoaq4+ZDOYFBARERGRKMUCbyVtBX+SRERERCSKmkuS2gwmBUREREQkSrHAica2gkkBEREREYmi5kRjm8GkgIiIiIhEYUVj28GkgIiIiIhEUXD4kM1gUkBEREREorBOge1gUkBEREREorCnwHYwKSAiIiIiUTinwHYwKSAiIiIiUdQCKxrbCiYFRERERCSKghWNbQZ/kkREREQkigrsKbAVHAhGRERERKIoBEeTv+zR0aNHcf/+/UqP+fnnn7Fjxw7RbTApICIiIiJR1IKDyV/26K233sLVq1crPebGjRvYunWr6DY4fIiIiIiIRLHXJ/emkJSUhKSkJACAIAiIi4uDTCbTeWxhYSEOHz4MpVIpuj0mBUREREQkCouXGc/PP/+MdevWQSKRQCKRYN++fZUeLwgC+vfvL7o9JgVEREREJAqXJDWe6dOnY9iwYfjjjz8wd+5c9O/fH82aNdN5rKOjIxo0aIB+/fqJbo9JARERERGJwuFDxlW7dm306dMH7du3x4QJExAeHm60tpgUEBEREZEoaq5ZYxJ79uwxehtMCoiIiIhIFIXaMpOCpKQkrF+/HpcvX4ZSqUTr1q0xf/58dOjQodrnLV68GDExMTrPHzx4MNauXWvQ96KRm5uLc+fOITMzEwqFQucxEokEc+bMEXV9JgVEREREJIolLhGalpaG8ePHo2nTpli7di1cXV2xa9cuTJkyBfv27UPbtm2rfZ6fnx+2bNlS7hre3t5GeU+//voroqKiIJPJIAhChccxKSAiIiIik7PEisabN2+GSqXCtm3b4OvrCwAICwtDREQENmzYgJ07d1b7PGdnZ7Ru3drYb0Vr3bp1KCoqwpAhQ9C2bVu4uroavA0mBUREREQkilJtWRONBUHA6dOn0aVLF+2NPVByEx8REYE9e/YgPz8fNWvWNMh5ppKYmIgJEyZg8eLFRmvD8vp8iIiIiMgqqCEx+asyGRkZKCgoQFBQULl9QUFBUKvVSElJMdh5piKVStGyZUujtsGeAiIiIiISRWFhPQU5OTkAAB8fn3L7NNs0x1TnvMLCQqxYsQI//fQTMjMzERAQgCFDhiAqKgpOToa/vW7ZsiXu3r1r8Os+iz0FRERERCSKWpCY/FWZ4uJiACXDfsqSSqUASm7oq3ve48ePIZFI8OGHH2LLli0ICwtDdHQ0Vq5cqed3rmoWLFiAAwcOGLW3gj0FRERERCTK84bzmJqLiwsA6FyyU3Pj7+bmVq3zlixZgrfeegteXl7aY7p16wa5XI79+/dj4sSJaNy4cfXeSBkJCQno2LEjhg0bhk6dOqFJkyY6ExiJRIJ//vOfotpgUkBEREREoljaRGM/Pz8AJWv6l5WdnV3qGLHn1ahRQ2fbffv2xYkTJxAfH2/wpGDlypWQSCQQBAHnz5/H+fPndR7HpICIiIiITO55w3lMLSAgAD4+PkhOTi63Lzk5GVKpFM2bN6/2eQqFQjusSEMzvEjT62BIH330kcGvWRaTAiIiIiISRWmBxcv69euHmJgYZGVlaZ/uy2QynDp1Ct27d4eHh4fo854+fYoePXqgS5cu2LhxY6nzT506BalUitDQUIO/p2HDhhn8mmVZ3k+SiIiIiKyCpU00BoDZs2fDzc0NUVFR+Omnn3D+/HnMnj0bcrkcCxcuBADExcUhJCQEhw4dqtJ5Hh4eGDNmDE6ePIlly5YhNjYWZ8+exeuvv46zZ89i2rRpqF27tnG+2X+5c+cOzp8/j7y8PINelz0FRERERCSKpQ0fAgB/f3/s378fa9aswcKFCyEIAkJDQ7F79240a9YMQEmxMpVKBbVaXaXzAOD1119Hw4YNsWfPHsTExMDBwQHNmjXDRx99hOHDhxvtfV24cAHvv/8+7ty5AwDYvXs32rdvDwCYOHEipk6dih49eoi+vkQQBMEgkRIRERGRXRlwboHJ2/yu+6cmb9Pcrl69irFjx0IqleLFF1/EhQsXtElBbm4u/vGPfyA/Px979+4VPXyJw4eIiIiISBRLHD5ki7Zv3w5vb2/85z//wYYNG/DsM31fX18cO3YMtWvXxhdffCG6DQ4fIiIiIiJRlGo+XzaF3377DWPHjkWDBg1QUFBQbr+fnx/GjBmDXbt2iW6DSQERERERiWKvT+5N7fHjx2jYsGGlx9SrV09nwqAvJgVEREREJIrKApcktUVeXl7Iysqq9JgbN27A29tbdBsW+5NMSkpC//79ERwcjBs3buh1TlxcHCZMmIDQ0FC8+OKLmDFjBpKSkowcKREREZF94pwC0wgLC8OhQ4cq7Am4ePEidu/ejbCwMNFtWGRSsG/fPowaNQpPnjzR+5zLly9jypQpcHNzw2effYZPPvkE+fn5mDBhAtLT040YLREREZF9EgSJyV/2aObMmcjIyMDIkSOxefNmSCQSfPvtt1i7di3GjBmDyZMnQ6lUIioqSnQbFrckaVxcHKZNm4Zly5bh/v372LRpE7799lsEBgZWel5kZCTu3r2LU6dOwdnZGQCQm5uLXr16YdCgQfjwww9NET4RERGR3eh08i2Tt/lLv49M3qYliI2NxdKlS/HgwYNy+wICAvDhhx+ia9euoq9vcXMKvL29cfDgQYSEhCA6Olqvcx4/foxff/0VkZGR2oQAKFmiqWvXrjh9+jSTAiIiIiIDs9fhPObQrVs3fP/997h06RJSU1Px9OlTeHp6onnz5ggPD4ejo2O1rm9xSUHz5s2rfE5KSgoEQdB5brNmzXD69Gncv38fdevWNUSIRERERARAxaTApKRSKTp37ozOnTsb/NoWlxSIkZOTAwDw8fEpt0+zLScn57lJQZNP1xk+OCIiIiITurXgdZO1Za9j/M0lIyMDmZmZUCqVFR7Tvn17Ude2iaSgqKgIQEn2VJZmW2FhoUljIiIiIrJ1HD5kGg8ePMC8efNw7dq15x6bmJgoqg3RScHVq1dx6dIlpKenIzc3F/n5+ahZsyZ8fX1Rv359hIeHo3Xr1mIvXyWurq4AAIVCUW6fZpubm5tJYiEiIiKyF2o1kwJT+OCDD3D16lXUq1cPbdq00d77GlKVkgKlUokDBw5g9+7d2mU+K1q8SCKRoEGDBpg0aRJGjx4NJyfjdUrUrl0bAPDo0aNy+7KzswGUlH8mIiIiIsPh8CHTiIuLQ58+fRAdHQ2JxDjfc73v1P/880+88cYbuH37NlxdXdG1a1d069YNTZo0ga+vL2rWrIn8/Hzk5ubi1q1b+Pnnn3H58mV88MEH2Lt3L1atWoU2bdoY5U0EBwfD0dERycnJ5fYlJyfDz88PderUMUrbRERERPZKxZ4CkyguLkbv3r2NlhAAeiYFR44cwXvvvQdvb28sW7YMw4YNq3Q4To8ePTB58mTI5XJ8/fXX2LJlC8aNG4fly5djxIgRBgteo0aNGujSpQtOnDiBRYsWabtUMjMz8d///hdjx441eJtERERE9o49BabRsGFD5OXlGbUNvSoaL126FEOHDsXJkycxbtw4vcfnu7m5Yfz48Th16hSGDBmCpUuXPvec9PR0XL16FVevXsXDhw8BANevX9duKy4uxtGjRxESEoLY2Fjtea+//joKCgowZ84cXLhwAT/++COioqLg5eWFmTNn6hUvEREREemPFY1NIzIyEkeOHNEurmMMevUUfPDBBxg1apToRtzd3fHhhx8iNDT0ucdu2rQJMTExpbbNnz9f++8zZ85ArVZDpVJBrVZrt7ds2RI7d+7E+vXrMXv2bDg6OqJz587YsGGDds4BERERERkOVx8yjTZt2iAkJAQDBw7E6NGj0bhxY7i4uOg8tkePHqLakAgVzRS2Q6xTQERERNbOlHUKmh/5wGRtaaSMfMfkbZpbixYtIJFIIAjCc+cVmHxJ0pMnT+LHH39EVlaWzqVAgZIViHbt2iW2CSIiIiKyYFyS1DSGDh1q1EnGgMikYMuWLdi4cWOFy5FqGDt4IiIiIjIfex3jb2off/yx0dsQlRQcPXoUfn5+ePPNN9GyZcsKxzQRERERkQ1jUmAWT548gUwmg4eHBzw8PAxyTVFJwYMHD/DPf/4TgwYNMkgQ9kifMWHWztbfI9+f9bP192gP7w+w7V5pe/gZ2vL7A2z/PQrq5x9DhpGdnY1Nmzbh9OnTyMnJ0W739/fHgAEDMGfOHHh6eoq+vl5LkpZVt25do1Yotgeyq9cgKJXmDsNo1MXFkMcnmDsMo5L9fsXcIRhVYUoqVE+emjsMoxHUasj+sO2foa1/RhUZ96F4mGXuMIzK1n+Gst+vPHcosjVT5uWh6OZNc4dhVFyS1DQyMzMxfPhwHDx4EHl5eWjUqBFatGiBhg0bIjs7G19++SVeeeUV5Ofni25DVFIwbtw4HD58GMXFxaIbtndPf/sdhak3zB2G0RSmpOKpDf8xE1Qq5B47DrUN/x+QXYuHPEHcCgbWoPhuOgr+e9HcYRjVoxMnoTRysRtzksUnQB4fb+4wjEaZm4vH358xdxhGlR97HoqM++YOw2jkCYmQXbPtB2SCWmLylz3avHkzcnNzsWzZMly6dAknTpxATEwMTp48ibi4OCxatAi3b9/G559/LroNUY/7J06ciLy8PPTv3x8vv/wy6tWrB6lUqvPYoUOHig7OVglKJeSJyXD09IRby2Bzh2MUsvgEyBMTIahUkDg6mjscgyu6fQeqvDwUpqTC/YVW5g7H4ARBgOxaAlT5BfDsEG7ucIxCFp+Awhs3oS4shMNfVdBtieJhFpQPsyBPSESNzp3MHY5RyK7FQ+LkBK9eL5k7FKOQxSdAcf8+lLm5cPL1NXc4Bqd6+hRFt25DFp8A53p/M3c4RiG7lgDFwyz4Dhls7lCMx3Y7eixKbGwsxo4di3HjxpXb5+7ujmnTpiEtLQ3ff/89Fi1aJKoNUUnB77//jv379+PRo0fYtm2bzmM0Y+iYFJRXeOMmhKIiyOIT4DtimM2NNRTUasjjE6GWyVF0+zZcAwPNHZLByf4aGiW7lmCTSYHi/gOoHj2CXCaDoFRCYoPDBWXXEgCVCvKkZHiEtjV3OAYn++sJuuxagk0mBcr8fBSn3QUkEqiePoWjgSbaWRLNE2ZZfAJq/r2bmaMxPHliEiAIkF2Lh3dEH3OHY3DqYgUKU1IhKBRQPMyCtI6fuUMyEtu6h7FUDx8+RKtWld9vtG3bFkePHhXdhqi/9B999BEeP36Mrl27IiQkhKsPVZHmhlL16DEU9+/D+W+29YSkOP0eVH+NaZNdS7DJpED+1x9reUICBLUaEgdRI/EsluYzKhQVofDGTbgFNzdzRIalfPQIiowMACWfUZtMCv76jBampEJdrICDs+7eXGulHdomCJAnJsEzPMy8ARmYurAQhddLhpjKrtlmUqD5jBan3YUyPx9ONWuaOSLDKkwtSQiAkiTdq05P8wZkLJxobBLOzs54/PhxpcfI5fIKR+7oQ1RSkJKSgokTJ+Ktt94S3bC9EgSh1ARcWXyizSUFsmfenzw+EbCxblNFVjYUDx8CAFT5BShOvweXhg3MHJVhlf6MJthcUiCL/99cCXlios0ldiqZDEW3bgMABIUChampcG8VYt6gDEz+zM9QFp9oc0mBPDkVUKkAAIXXb9jcMDfhr146DXlCImp06mjGiAzv2b+FsmsJ8Hqpp9liMSo7nfhrakFBQThx4gQmTpwIBx1/r1QqFb755hsEBQWJbkPUX0F3d3e0bNlSdKP2TJGZCWVOrvZruQ1OQHr2hlLx8CEUWdlmjMbwZGVWVSr7tbVTFRSg6E6a9mt5fILNrQ7y7GdU/VSGott3zBiN4ckTkwH1/x7f2dpnVK1QQJ78zA1lYhKEv26gbUWpCdQqVUmSYEMKb9yEUFio/frZJM8WlDwA/N97Krp1GyqZzIwRGY+gNv3LHo0aNQp//PEHRo8ejSNHjuDKlStISUnBH3/8ga+++gojR47ElStXdM450JeonoKePXvi4sWLnC8gQtkkoCgtDaqCAjjWqGGmiAxL+TgPxen3Sm2TxSfAq2d3M0VkeGWXWpXHJ8BnQD8zRWN4soSScb4aypxcKB5kwrlugBmjMhx1URHkqddLbZPFJ8C1aRMzRWR45T+jiTa1Vnph6nUIxQrt10JhYckwt+bin5BZEkGthqzMyl/y+Hh4tG1tpogMr9xnNDkZaoUCDtUY+mBJitPvQfXsyl9qNeSJyfAMa2e+oIyFPQUmMWLECCQmJmLv3r24du2azmNmzJiBl19+WXQbonoKlixZgpycHLz//vtISEhAXl4e5HK5zheVVu6JnSCU++VvzXTVJrClJQPVcjkKb5Rec7o4/R6UzxnnZ010/Qxt6UmzPDkVKFMjxJZqaggqVckEzmeo8son69ZM9+8Z2/kZFt1Jg7pMjRBZQskwN1sgCEK53ylCsQKFZZJ1a2brn9FnSdSmf9mrpUuX4t///jemT5+OXr16oVOnTujduzeioqLwn//8B6+99lq1ri+qp+Cll0qWf/v5559x4MCBCo+TSCRISLDN/wRiqJ481TlMQR6fiBodO5ghIsPTdfNYeOMWVDI5HN3dzBCRYZUdlqHdHp+IGl07myEiwxKUSsiTU8ptl8cnwLtPLzNEZHhyHb+TFA8yocjOgbR2LTNEZFhFt25DreOBjDw+AS4N6pshIsMquaEs/yBFFp8An6Ev20RviK76IOonT1GUdheujRuZISLDUjzMgjI7p9x2eXwC3ENsY2iyrr+FmmFuNrdMN3sKTKpVq1bPXYVILFFJgaaEcnVKKVcmKSkJ69evx+XLl6FUKtG6dWvMnz8fHTpUfOMcGRmJuLg4nfuioqKqnT0ZgjwhsdSwDO325BSbWPZRXVyMwlQd417VahQmJcPjxVCTx2RoFT0xl8Un2ERSUHj9BoSionLbi27fgerJUzh6Wveyj4JarfOGEii5IZH2+LuJIzK8yj6j3v0jTByN4Sky7kOlo2dOmZ0DxcMsOPvXMX1QBlZRsSt5fIJNJAUV9R7L4hPhO9L6h7kp8/JQfDe93Ha1XI7Cm7fgFtTMDFEZkYVOORNzL1mV89LT07Fu3TpcuHABMpkMQUFBiIqKQkSEcX/P5ubm4rfffkN2djby8/Ph7e2NOnXqoF27dvDy8qrWtUXdhf7www/VarQyaWlpGD9+PJo2bYq1a9fC1dUVu3btwpQpU7Bv3z60bVvx0oGtWrXC8uXLy22vU8cy/khU9MdaKCpCYeoNqy9kVrIes1LnPll8gtUnBSXDMnTfUBampkJdXAwHZ2cTR2VYFQ4TEgTIExKtvpBZ8d10qAsKdO6TxSegpi0kBRXcUBbfTYcyLw9O1fyjYW6VDWWTx8dbfVKgzM2F4r7uCr+yawnwGTTAxBEZXkWfUdXjxyi+lwGX+vVMHJFhVVYJXh6fYHtJgQUO5xF7L6nveXl5eRg3bhzc3NywfPly1KpVC19//TXmz5+PjRs3GiUxUKlU+Oijj3Dw4EGo/lpY4dm5YlKpFJMnT8bChQtFt2Fxj6Y3b94MlUqFbdu2wfevCo5hYWGIiIjAhg0bsHPnzgrP9fDwQOvWljkRS1AqSy2/VpYsPt7qk4JK/1jbQHXjott3oJbpnicjKJRWX91YU8W4IrL4BKtPCir7jNpCdWPFwywos7Iq3G8L1Y1l1yqeoyS7lmD11Y0r+4zaQnVjTRXjisgTEq0+Kaj892gifIeKnwhqkSxw+JDYe0l9z9u9ezcePnyI48ePa5cADQ8Px40bN7B27VqjJAWff/459u7di9q1a6NXr17w9/eHp6cnCgoKkJaWhrNnz2L79u3w8vLC1KlTRbUhOilQKpX4/fffkZmZCaVS99NhAFVaoUgQBJw+fRpdunTR/jCAkoINERER2LNnD/Lz81HTCgucaKoYV8TaqxtrqhhXxBaqGz9vsq21VzfWVDGuiDwp2eqHuVX2x9oWqhvLnjOp39qrG2urGFeg6NZtq69uXOlnFNZf3VhTxbgi1l7dWFPFuCLKrCybq25saRN/xd5LVuW877//HsHBwaVqAkgkEgwaNAgrV65EcnIygoMN+6D366+/RuvWrbFr1y64u7uX2//kyRNMnDgRhw4dMm1SkJKSghkzZiAzM7PCYzRdGlVJCjIyMlBQUKCz8EJQUBDUajVSUlIQHm59Tyufd0NZUt34AZz/VtdEERnWs1WMKyKLT7TqpOB5NSXkCdZdBOt5n1Frr26sfPRYW8W4IrJ4665u/Ly13q29urE8IanyAwShZNnH8BdNE5CBPVvFuCKy+ESrTgoqmtOjYe3VjZ+tYlwRm65ubAHE3kvqe15oaChu3ryJ/v376zwOABITEw2eFDx48AAzZ87UmRAAJfN8x4wZgxUrVohuQ1RS8NFHH+HBgwdo37492rZtC1cDdbfn5JSsRuDj41Nun2ab5hhdHj16hMWLF+OXX35BdnY2GjVqhHHjxmH8+PEGiU+sslWMKyKLT7DapECfJSvl1xKAl/9hgmgM79kqxhVR5edbdXVjfT+j1poU6PUZTUiy2sROJZOh8OatSo+x9urG+n5GrTUpeLaKcUUKU69b7TA3Xcvl6mLN1Y31+T1ja9WNJRY20VjsvaS+5+Xn50OhUFR6XG5ubrl91eXj4wP1c5YlVqvVqFVL/Cp6opKCK1euYMSIEfjwww9FN6xLcXExgJKumrKkfxU0KXymAmJZ6enpiIiIwLp165Cfn4+DBw/i/fffR2FhoeiuFENQPChdxbgi8msJ8O7b2wQRGZ4+f6w11Y2lfrVNEJFh6btOvyw+wSqTgrJVjCsij0+AMGyIVQ5z0+czqn5asmywNRYyq2i53LJk8QlWmRSUrWJcEWte9lGvmi5/VTe2xkJmZasYV0R2LcEqk4KyVYwroqlu7FjBE1+ro7asvwdi7yX1Pa/or6HgYu9Vxerduzd++uknvPLKKxUec+7cuWrNZxD1OEwQBLRv3150oxVxcXEBACh0dL1pflhubrrXuo+OjkZsbCzmz5+PsLAwvPTSS9i6dSvatm2LjRs34smTJwaPV1/63lBqqhtbG+Xjx3oXRrLWIlj6FmCz1uI0ZasYV0RT3dja6KpiXBHr/YzqF7emurG1KVvFuCKa6sbWRlcV44pYa0FIfT+jhSkpUD9nCI4lKlfFuCJqtV49JlZDMMOrEmLvJfU9rzr3qtXx+uuvo7i4GHPmzMHPP/+MzMxMPH36FDk5OYiLi8PChQuhUCgwc+ZM0YWERfUUNGvWDFmVrHAhlp9fycQbXd0u2dnZpY4py9vbu9w2iUSC3r1748qVK7h+/TpCQ0MNFmtV6H2j+Fd1Y2srZKbPk5H/HRsPr57djRiN4alkchTeqHxYhoamurGTjs+jJatKMiOLT4Bz3QAjRmN4uqoYV3hsfAIweJCRIzIsfYdlAP+rbmxthcyq8hmVxyfArXn5ccGWTFcV44rIrHD+kq4qxhUe+1d1Y2srZFa1z2giPMOsc5hbWZY20VjsvaS+53l5ecHZ2VnUvWp1dOzYUTt8qLLSAF27di31dVUKCYv6jTJjxgzs37+/0vH9YgQEBMDHxwfJOrqIk5OTIZVK0by57vHMarVa5ypImi4cTWZnapoqxhKpFDV7dketUSNK7XfwcIf/nCi4NiuZgFuVG2xLoflF79o8CAHzZkNSZqxrrTGjUKP73wEnJ211Y2tSmFQyLMPRywu+I4fBs0y3tnvbNqg15hU41SpZrcDafobaKsYODvDs3Al+EyeUO6bu/5sHt1Ylf6CtsTdEU8XYuVFD1Jk5DU61Sw9h8xnyD3j17Q2Ji4u2urE10VQxdvDwgM/gQajZq2ep/a7NAuE3aQKkAf4ArO9nqK1iLJHAI6wd6sycVu4Y/1kz4N4uFJBIIItPsLreEM3a9tK6deH36kS4NGlcar9X397wHjQADu7u2urG1kRTxVji6gqviD7w/sfAUvulAf6oM30KnP9KVq3tMwr872+h2wutEDB/Trn9fq9OhGenDoCDg3aYm02wsJ4CsfeS+p7n6OiIoKCgCo8DYJSKw/7+/qhbt26VXwEB+j/EE9VT4ODggPDwcPTr1w+DBg1C48aNdY6tAlDlSb79+vVDTEwMsrKytJmWTCbDqVOn0L17d3joWGouLS0NAwcORGRkJN58803tdpVKhdOnT8Pb2xvNmpmnWEjh9euo2ePvqNmrJ5xq1oTs6rVyx7gFNYNbUDPIU68j/6dzVrXso7q4GJAAAfNmwzWwqc5jHGvWRK1OHeHVuyfyzvyEops3rWrpzuJ7GfAdOQw1OnWExMkJOUe+LrVf4uiIGp06wLN9GJ78ehnFz1nhxtIU3roNjxfbwatPL0hr+aLo9p1yxzg3bAD/6VNRlHYXj0+dtqrqxoJaDfVTGerMnAa3FsGQSCTILTME1sHdA14v9UTNnt2R/9M5FN64CWlt8ZO1TK3o9h34DB6EGt26wMHFBY9Pfl/6AIkEHu1C4d62DWRX/rS6oQuKBw/gGtgEXhF94exfBwodc7SkAf6oM2kCiiP64PGp01BmZVvVso/K3Efwe3Ui3Fu/AImDA/LP/lxqv4OLC7z69ELNv3dF/s/nS+a+WFF146IbN+EV0Qc1e3SHo4c7Ci78Uu4Y91YhcAtpCXlCIp5c/LVUYSZLp8zLh5O3N2q9MhIuDepDrWOom1OtWqg95hV49emNvNNnUHQnzSrnL5VlaRONAXH3klU5r3///li3bh2SkpLQokULACUPp48fP44WLVqgSRPD/1yNWThYQ9Sd55w5cyCRSCAIAg4dOqTzP63mP3NVk4LZs2fjxIkTiIqKwrx58yCVSrF9+3bI5XJtlba4uDhMnjwZ7777LkaPHo2GDRuib9++2LVrF5ycnNClSxfIZDLs378fKSkpWLFihXbyh6m5t2mt9xKHmuRA0GOyoKWQODnBf7p+k7idvLxQa/gQq3p/AOA9qL9e3fSa5MDa3p9rYFO9K2y6NGwA/2mvWtd7lEjgN2WSXjcXjh4e8Bk0wLreH4CavXrq9xl1cNAmB9ZE6u8Pv0j9/pY41w1AnUkTrO5nWHv8GL1+hg6urvDu29vq3p9npw76fUYlEm1yYE0ca3iiztTJeh0rrV2SHFjbz7BCFjbRGBB3L6nveQAwYcIEHDlyBPPmzcOiRYvg7e2NgwcP4saNG/jiiy/M8p4NoVpJgTH4+/tj//79WLNmDRYuXAhBEBAaGordu3drn/YLggCVSlVqaaZVq1YhJCQEhw8fxpdffgmpVIqQkBBs2bIFvXr1Mkqs+hAz5tOaxona+vsDqh6vrb8/seeYi5jfVdb0/gB+Rg11jjnxZ1jmeCvpIdCwh89oRSyxp0DsvaQ+5wGAu7s79uzZg9WrV2PZsmWQy+UICQnBtm3b0LlzZ6O9r+LiYvz+++/IysoyWOHgZ4lKCubNmyeqMX0FBgZi69atFe7v2LFjubFczs7OmD59OqZPn27U2IiIiIiohKVNNNYQcy+pz3ka/v7+WLduXbVirIrffvsNc+bMwePHjys8Rkzh4GfplRR8+umnWLBggagGjHEdIiIiIrIAFthTYItWr16Nx48fo0uXLggJCTHKAjp6JQXbt2/H1atXsWLFiirNYta4f/8+li5diosXLzIpICIiIrIVTApMIjU1FRMmTMCSJUuM1oZeA9o2b96MP/74A3379sXy5cuRnp6u18XT09Px3nvvISIiAleuXMGWLVuqFSwRERERWQ6JYPqXPXJxcTHKUqfP0qunoHv37oiJicFbb72FAwcO4ODBg2jatCm6du2KJk2aoFatWqhRowYKCgqQk5ODW7du4fz587h586a2+vHKlSvRoEEDo74ZIiIiIjIhO71JN7Vu3brht99+Ez1fQB96TzRu0KAB9u7di++//x67d+/G77//jhs3blS4HKmTkxPCw8MxadIk9OnTx6BBExEREZH5WepEY1uzePFivPrqq1i7di1GjRqFevXqwcnANa2qfLW+ffuib9++ePLkCX755Rfcvn0bubm5KCgoQI0aNeDr64vGjRujU6dO8PT0NGiwRERERGRB2FNgEm5ubmjTpg127NiBHTt2VHicRCJBQoK4iuCiUwxPT0/2ABARERHZMXsd429qy5cvx7FjxwAAtWrVgrOzs8HbkAiCwB/nX5p8avz1ZlVPnkLx4MH/Njg42ESZ82cV3rwFPFMMRFq3Lhw93M0YkWEpsrKgysvXfu3g6QnnAH8zRmRY6sJCFKffK7XNJbCp1RUTqkzRnTQICoX2a6c6fnCqWdOMERmWMjcXytxH2q8d3NzgXO9vZozIsNQKBYrvpJXa5tK4ESQG7ko3p6L0exAKC7VfO9XyhZOPjxkjMixlXh6UWdnaryXOUrg0bGjGiAxLUKtRdPNWqW3O9evBwdXVJO3fWvC6SdoBgJClG0zWlkbCitdM3qa5derUCU2bNsWGDRvg72+cew7b+Q1qJRw9PeDYLNDcYRiVrSU5ZUn9/CD18zN3GEbj4OoKVxv/jLo0sp2bD12cfH3h5Otr7jCMxkEqtf3PaP165g7BqJy8vODk5WXuMIxG4uBg859RLT5aNomioiKMHDnSaAkBwKSAiIiIiETiRGPTaNGiBbKzs59/YDXoVaeAiIiIiKgcwQwvO/TGG2/g4MGD+PPPP43WBnsKiIiIiEgU9hSYxokTJxAcHIzRo0cjKCgI9erV0znZWCKR4JNPPhHVBpMCIiIiIhLHTp/cm9quXbu0/05JSUFKSorO46qzKIiopODXX39FgwYNEBAQUOEx165dw759+/DRRx+JDo6IiIiILBeXJDWN3bt3G70NUUlBZGQkatasiTVr1qBHjx46j7l37x6OHj0qKilISkrC+vXrcfnyZSiVSrRu3Rrz589Hhw4djHIeEREREYnA4UMmYYp7WdETjWUyGWbNmoVt27YZMh6kpaVh/PjxePToEdauXYutW7fC09MTU6ZMwZUrVwx+HhERERGJIzHDy54VFxcjNjYWu3fvxrZt27B3717897//hVKprPa1Rc8peOedd/Ddd9/hk08+QUJCAj7++GO4ublVO6DNmzdDpVJh27Zt8P1rne2wsDBERERgw4YN2Llzp0HPIyIiIiJxONHYdGJiYvDxxx8jP7+kgKogCNo5BH5+fnj//ffRs2dP0dcX3VPg4+ODf/3rX5g0aRJOnjyJMWPGID09XXQgQMmbO336NLp06aK9sQcAZ2dnRERE4OLFi9pvhCHOIyIiIqJq4JKkJhEbG4u3334bKpUKgwcPxmuvvYa3334bCxYsQP/+/VFQUIC5c+dWa8nSaq0+5ODggMWLF6NVq1Z45513MHLkSGzYsAGdO3cWdb2MjAwUFBQgKCio3L6goCCo1WqkpKQgPDzcIOcRERERUTXY6U26qX355Zdo2LAh9u7dCz8/v3L77927hwkTJmD79u2Ijo4W1YZBipcNHjwYBw4cgLu7O6ZPn44vv/xS1HVycnIAlPRClKXZpjnGEOcRERERkXgStelf9ujatWsYOXKkzoQAAOrVq4dXXnkFly9fFt2GweoUtGzZEl9//TX+3//7f1i9ejUaNWpU5WsUFxcDgM5iDFKpFABQWFhosPPKurXgdf2DJSIiIrJzXJLUNJ4+fYo6depUeszf/va3ag2XN0hPgYa3t7d2nsHt27erfL6LiwsAQKFQlNunufHXNZlZ7HlEREREJB57CkzD29v7uffWaWlp8Pb2Ft2GqJ6CM2fOoFatWjr3aeYZhIeHIykpqUrX1XSJ5ObmltuXnZ1d6hhDnEdERERE1cCeApNo3749Dhw4gIiICLRs2bLc/j///BN79+5Ft27dRLchKimoV6/ec4/p06cP+vTpU6XrBgQEwMfHB8nJyeX2JScnQyqVonnz5gY7j4iIiIiqgUmBScyaNQs//vgjRowYgXbt2qFZs2Zwd3fH06dPkZKSgj///BNubm6YPXu26DYMNqfAUPr164eYmBhkZWVpn+7LZDKcOnUK3bt3h4eHh0HPIyIiIiJx7HU4j6k1b94cO3bswHvvvYfLly+Xm1D8wgsvYPny5QgMDBTdhkQQBIvK8TIzM/Hyyy+jfv36mDdvHqRSKbZv344rV67g8OHDaNasGeLi4jB58mS8++67GD16tN7nEREREZHhhE9bb/I2L32x0ORtWpLbt2/j+vXrkMlk8PDwQPPmzdGgQYNqX9fiegr8/f2xf/9+rFmzBgsXLoQgCAgNDcXu3bu1N/aCIEClUkGtVlfpPCIiIiIyHPYUmJZCoUD9+vXRuHFj7bbHjx+juLhY5yqcVWFxPQVEREREZB3av2r6noJfv7TPnoIjR45gzZo12LVrF1q0aKHdfvjwYaxatQpvv/02hg8fLvr6Bl2S1BolJSVhxowZCAsLQ9u2bTFhwgTExcWZOyyqggsXLmDs2LFo27YtOnTogHHjxuHs2bPmDotE+PXXX9GiRQtERkaaOxSqIplMho8//hjdu3dHmzZtMGjQIBw6dMjcYZEe1Go1jhw5gpEjRyI8PBxt27bF8OHDcfjwYXOHRpVISkpC//79ERwcjBs3bujcb4r7G4lg+pc9Onv2LJYuXQoHBwc4OjqW2tewYUN4enpiyZIluHDhgug27DopSEtLw/jx4/Ho0SOsXbsWW7duhaenJ6ZMmYIrV66YOzzSww8//IBXX30Vnp6eiI6Oxpo1a+Di4oIZM2bgu+++M3d4VAXFxcV45513wM5L66NWqxEVFYXDhw9j1qxZ+OKLL9CmTRssW7YMMTEx5g6PnmPt2rVYsmQJ2rRpg+joaHz22WcICgrC0qVLsX37dnOHRzrs27cPo0aNwpMnT3TuN+X9DesUmMb27dsREhKC77//HkFBQaX2dezYEd999x1CQkIQHR0tug2Lm1NgSps3b4ZKpcK2bdvg6+sLAAgLC0NERAQ2bNiAnTt3mjdAeq4NGzagcePG2Lx5s7Z6dYcOHdCzZ0/s2bMHAwYMMHOEpK/NmzcjPz8fL7zwgrlDoSr69ttvcfHiRXzyySfa/3MdOnRARkYGfv/9dwwbNszMEVJlvvrqK7Rr1w7Lli3TbuvatSsuX76Mb775BtOnTzdjdFRWXFwcVq1ahXfffRf379/Hpk2byh1j0vsbPscxifj4eLz55pvw9PTUud/NzQ0jR47E6tWrRbdht0mBIAg4ffo0unTpov0PAwDOzs6IiIjAnj17kJ+fj5o1a5oxSqqMIAiYNWsWfH19tQkBUPIfo1GjRnjw4IEZo6OqSElJwRdffIHly5fj6NGj5g6Hqujo0aMICAhA//79S23ftWuXmSKiqnB2doa7u3upbRKJBJ6enuy5s0De3t44ePBghU+FTX1/I1Fb72dEpVLh888/R0xMDDIyMlCrVi0MHDgQCxYsgKura7XPTU9PR+/evSu8xqlTp9CoUSO9YnVwcHhuTNWdaGy3SUFGRgYKCgrKdcEAQFBQENRqNVJSUhAeHm6G6EgfEokEAwcOLLddoVDgzp07Oiv+keVRq9VYtmwZ2rVrhxEjRjApsEJXrlxBt27dIJFIzB0KifDqq69i/fr1OHLkCAYNGgRBEHDs2DEkJSVh5cqV5g6PynheMVZT399Y8xj/FStW4KuvvsLcuXPRoUMHpKamYvXq1bh9+za2bNlisHPnzp2Lnj17lrtG3bp19Y41ODgYJ0+exNChQ3XuV6lU+Prrr6u14qbdJgU5OTkAAB8fn3L7NNs0x5B1iY6OxuPHjzFu3Dhzh0J6OHDgAOLj43Hs2DFzh0Ii5OfnIz8/HwEBAdi3bx92796Ne/fuoU6dOpgwYQImTZpUblIcWZbp06fD3d0d7733HpYsWQKgpMd11apVGDJkiJmjo6oy9f2NRGWwS5nU3bt3ceDAAUyZMgWzZs0CUDLESq1WY/ny5bh06VKFiVNVz61Xrx5at25drXhfeeUVLF68GFOnTsWwYcPQsGFDuLi4IC8vD8nJyThy5AhSUlLwwQcfiG7DbpOC4uJiALq7WjRDUQoLC00aE1XfwYMH8fnnn2P48OGIiIgwdzj0HA8ePMC6deswY8YMNG3a1NzhkAgymQwAcPLkSTRo0ABvv/02nJ2d8c0332DVqlXIzs7GG2+8YeYoqTJnz57FqlWrMGDAAAwZMgQKhQJHjx7FsmXL4OPjg+7du5s7RKoCk9/fWGlPwZkzZyAIAgYPHlxq+6BBg/D+++/j9OnTFSYF1TlXrKFDhyIlJQVffvllhSsMTZw4ESNHjhTdht0mBS4uLgBKhpqUpfkP5ebmZtKYqHo2bdqE6OhoDB48uFqZMpnO8uXLUadOHcycOdPcoZBIml4AhUKBbdu2ace8du7cGQ8fPsSuXbswbdq0UmObyXIUFxdjyZIlaNeuHdasWaPd/tJLL2HEiBHaGxyyHqa+v7HW4UPJycmQSCQIDAwstd3Lywt16tRBYmKiUc6tjjfeeAMjRozAN998g5SUFDx9+hSenp4IDAzEgAEDStUuEMNukwI/Pz8AQG5ubrl92dnZpY4hy/fuu+/i4MGDmDZtGhYtWsSxzVbg5MmT+PHHH7Ft2zYoFArtHzCVqqQv+unTp5BKpdWeOEXG5e3tDUdHR7Rq1arcJLiuXbvi3LlzSE1NRceOHc0UIVXm9u3byMrKwuTJk8vt69ChA/71r38hJycHtWrVMn1wJIqp72+sdaJxTk4OPD09df6N8fHx0fn9E3vuL7/8gn//+99ITk6GWq1GWFgYFixYIGq1vcDAQCxYsKDK5+nDbpOCgIAA+Pj4IDk5udy+5ORkSKXS507mIcuwYcMGHDp0CEuWLMHEiRPNHQ7p6ccff4QgCJgxY4bO/S+++CLmzp2LefPmmTgyqgqpVIpmzZrp/AOqSfCeXR2MLItmGIlSqSy3T5Ooa54uk3Uw+f2NheUECoUCaWlplR5To0YNFBUVVfjQSSqVIi8vr8Lzq3puQkICpk+fjoYNG+L69euIjo5GZGQkjh8/jvr16z/nHelWWFiIL774AsOHD8ff/vY3Udcoy26TAgDo168fYmJikJWVpc2aZTIZTp06he7du8PDw8PMEdLznD59Glu3bsWiRYuYEFiZqKgonWMfV6xYAQBYunSpwX7RkXENHDgQn376KVJTU0uteHL27Fm4ublVu0ubjKdZs2ZwdXXF+fPnERUVVWpfXFwc/Pz8EBAQYKboSCxT3t9YWk9BZmamzpUJnzVs2DC4urrqHGIFlCTClS3/qe+5devWRWxsLLy9vbUPR9q1a4c2bdpg6NCh+PTTT0sN26sKuVyOzz77DB07dmRSYAizZ8/GiRMnEBUVhXnz5kEqlWL79u2Qy+VYuHChucOj51Aqlfj4449Rv359dOzYEVevXi13THBwMIefWKjGjRujcePG5bbXqFEDALgcsBWZMGECYmJiMG3aNCxevBje3t74z3/+g4sXL2LevHnl1sAny+Hu7o7p06cjOjoab775pnZJ0piYGCQnJ+Pdd9/lcEwLk56ejkePHgEAHj58CAC4fv26dtJ/cHCwSe9vLG1OQf369XX2kpS1ZMkSFBQUoLi4uNx9Qk5OTqUPM2rXrq3XuY6OjjqHagUHB6Nhw4Y671uqwtB1ROw6KfD398f+/fuxZs0aLFy4EIIgIDQ0FLt3767WOq9kGg8ePMDdu3cBAKNGjdJ5zJkzZ0R3zRGRfjw9PbF3716sXbsWy5cvx5MnT9CkSROsWLGiwv+bZDnmzp0Lf39/7Nu3D9999x0kEgmCgoKwYcOG5z5xJdPbtGkTYmJiSm2bP3++9t+av3smu7+xsKRAXy1btoQgCEhNTUWrVq2027Ozs5GdnV1qW3XO1ZU4ACVDkLy8vAz0bgxDIrBcIRERERGJ0GPQapO3efb/qr/McWZmJnr16oXx48fj7bff1m7fsWMHVq9ejaNHj1ZYBFXfczdt2oRNmzbh+PHjpYZW/vnnnxg1ahQiIyOxdOlSUfE/evQInTt3xp49e9C+fXtR1yjLrnsKiIiIiKgarPTRsr+/P6ZMmYIdO3bAx8cHHTp0QHx8PDZu3Ijhw4eXSggmTZqEW7du4dy5c1U6d/jw4di/fz9mzpyJOXPmoFGjRkhNTcVnn32G2rVrY/r06XrHm5aWhoYNG2q/dnFxwbBhw1C7dm0DfUfYU0BEREREIvXsv8rkbf504k2DXEcQBOzYsQNfffUVMjIyUKdOHQwdOhSzZs0qtWpaZGQkbt68ifPnz1f53Dt37mDjxo04f/48CgoK4OPjg27dumH+/PlVmiDcokULdOrUCa+88gr69u1rlFXdmBQQERERkSgv9TN9UvDjScMkBdZkzJgx+OOPPyCRSODl5YWhQ4di1KhR5QqoVQeTAiIiIiIS5aUIMyQFp+wvKQCAe/fu4fjx4/i///s/pKamQiKRIDQ0FKNHj0b//v0rXUZVH0wKiIiIiEiUXr0/NnmbP5xZbPI2LU1ycjKOHz+Ob7/9FhkZGahRowYGDx6MUaNGVThB+nmYFBARERGRKL17fWTyNs/88JbJ27RkFy9exCeffII//vgDABAWFobp06ejR48eVboOVx8iIiIiInEsrKKxPcnMzNQOJ0pMTAQAhIaG4saNG4iKisLgwYPx4Ycf6j0pmUkBEREREYliaRWNbZ1arcYPP/yAI0eOIDY2FkqlEjVr1kRkZCTGjBmDwMBAyOVybNy4EV9++SV8fX2xeLF+w62YFBARGUBCQgLGjx+PPn36YM2aNSZv/9y5c4iKisL06dPx2muvmbx9IrJTHIVuEnfu3MGRI0cQExODnJwcCIKANm3aYMyYMRg0aBBcXFy0x7q5ueHNN99ETk4Ojh07xqSAiMhU8vLyMHv2bNSvXx8rVqwwSwzdu3fH3Llz8emnn6Jly5bo37+/WeIgIvsiUTEpMIV+/fpBIpHAzc0No0aNwtixY587ofjvf/87jh8/rncbTAqIiKrpww8/xP3797F+/fpST2tMbebMmThx4gTeffdddOjQAb6+vmaLhYjsBHMCkwgODsaYMWPw8ssvw8PDQ69z2rVrh7Vr1+rdhoPY4IiICIiPj8exY8fQrVs3vPjii2aNxdHREa+//joeP36MrVu3mjUWIrIPErXa5C97dOzYMYwdO1bvhAAA6tevj0GDBul9PJMCIrJLly5dQsuWLTF27FiUXZn5yJEjCA4OxptvPr9Azp49ewAA06ZNK7X966+/RnBwMHbu3Ilff/0VkZGRCAsL044BjYuLK3V8ZGQkgoODkZubi1WrVuHvf/872rRpg8GDB+PMmTMAgOPHj2PIkCFo27YtevXqhRUrVkChUJS6Tvfu3VGvXj0cPnwYMpmsyt8XIqIqUZvhRUbBpICI7FJ4eDimTp2K3377Dfv379duz87OxurVq1GvXj288847lV5DEAScO3cOHh4eaN++vc5jrly5gvnz56NDhw545513MGbMGFy9ehUzZ85EdnZ2ueNXrFiB27dvY8GCBZg6dar23//6178QHR2N4cOH46233oKLiwv27NmDXbt2lTpfIpGgW7dukMlk+Omnn6r+jSEiqgKJIJj8RcbBOQVEZLfmz5+P2NhYrF+/Hr1790ZAQABWrFiBgoICbN68GZ6enpWen5SUhJycHPTq1QtOTrp/nZ44cQIxMTFo0aIFAGDo0KHIy8vD0aNHce7cOQwfPrzU8fn5+fjiiy+0X+fk5ODQoUOIjo7G999/j9q1awP43/jSH3/8sVwvRbdu3XDo0CFcunQJAwcOrPL3hYhIb3Y6nMcWsaeAiOyWs7Mz1qxZA4VCgffeew8//PADvvvuO8yYMQPh4eHPPf/WrVsAgCZNmlR4TOfOnbUJgUbbtm0BlBSeKWvUqFGlvtasLtGrVy9tQgAAISEhAICsrKxy12jatCkAID09/bnvgYioWjh8yGawp4CI7FpQUBBef/11rFy5EhcvXkSrVq0wd+5cvc599OgRAKBWrVoVHtO4ceNy21xdXQEASqWy3L569eqV+lqzmlFF23VdQ7PqUG5uboVxEREZgr1O/LVF7CkgIrs3dOhQuLi4QCaTYdiwYXqXhM/PzwcA1KhRo8JjqrpEqbOzs87t+sb0bDwFBQVVapuIqMoEwfQvMgomBURk995//30olUoEBgZi48aNuH//vl7n1axZE4Dl3Xxr4qksWSEiMgiVYPoXGQWTAiKya99++y2++eYbTJ06FdHR0SgsLMQbb7wBtR5d4j4+PgBKJgNbEk08LF5GRMbG1YdsB5MCIrJbmZmZWL58OQIDAzFv3jwEBgZi7ty5iIuLw44dO557vmaCsWbCsaXQxFO/fn0zR0JENo/Dh2wGkwIiskuCIODtt99Gfn4+Vq5cqR3LP3XqVLRq1QqffvopEhMTK71GixYtUKtWLVy8eFHnhF9ziY2NBQC9VlAiIqoWldr0LzIKJgVEZJf279+P2NhYTJ48GaGhodrtTk5OWLlyJQBg0aJFKCoqqvAaEokE3bt3x9OnT/Hrr78aO2S9CIKA2NhYuLu7o2fPnuYOh4hsHXsKbIZEEPjdJSISKz4+HsOHD0e3bt30GnJkbGfPnsWMGTMwefJkvPXWW+YOh4hs3ICmi0ze5nc315q8TXvAngIiompo1aoVhgwZgtjYWPz2229mjUWlUmH9+vXw9vZGVFSUWWMhIjshqE3/IqNgUkBEVE1vv/026tati3fffbfS4UbGtm3bNiQlJWH58uXalZGIiIyKw4dsBpMCIqJq8vb2xubNm5Geno6lS5eaJYaff/4ZmzZtQlRUFPr372+WGIjIDnGisc3gnAIiIiIiEmVA/fkmb/O79I0mb9MeOJk7ACIiIiKyUiqVuSMgA2FSQERERETicMCJzWBSQERERETiMCmwGUwKiIiIiEgUgcOHbAaTAiIiIiISR82eAlvBpICIiIiIxGFPgc1gUkBERERE4nBOgc1g8TIiIiIiEkVQq03+MhSVSoUtW7YgIiICL7zwAnr06IFVq1ahsLBQr/OVSiXWr1+PFi1a4LXXXjNKG6bEngIiIiIiEseKKwyvWLECX331FebOnYsOHTogNTUVq1evxu3bt7Fly5ZKz71//z4WLlyIu3fvorI6wNVpw9SYFBARERGROIJ1JgV3797FgQMHMGXKFMyaNQsAEBYWBrVajeXLl+PSpUsIDw+v8Pw33ngDjo6OiImJQbdu3YzShqlx+BARERERiSKoVCZ/GcKZM2cgCAIGDx5cavugQYMgkUhw+vTpSs8fPXo0du7cCT8/P6O1YWrsKSAiIiIiUQQrXZI0OTkZEokEgYGBpbZ7eXmhTp06SExMrPT8f/zjH0Zvw9SYFBARERGRKN+rDpk7BFFycnLg6ekJZ2fncvt8fHyQm5trFW0YEpMCIiIiIrIJCoUCaWlplR5To0YNFBUV6bxZBwCpVIq8vLxqx2KKNgyJSQERERER2YTMzEwMHDiw0mOGDRsGV1dXKBQKnfuLi4vh6upa7VhM0YYhMSkgIiIiIptQv359JCcnP/e4JUuWoKCgAMXFxeWe5ufk5KBFixbVjqV27dpGb8OQuPoQEREREdmVli1bQhAEpKamltqenZ2N7OxstGrVyiraMCQmBURERERkV/r27QsnJyccO3as1HbN1wMGDLCKNgyJw4eIiIiIyK74+/tjypQp2LFjB3x8fNChQwfEx8dj48aNGD58OFq2bKk9dtKkSbh16xbOnTsHoGQ+QNkhSvn5+bh69SqAkpWF6tevX6U2LIFEqKw2MxERERGRDRIEATt27MBXX32FjIwM1KlTB0OHDsWsWbMglUq1x0VGRuLmzZs4f/48ACA9PR29e/eu8LrDhg3Dxx9/XKU2LAGTAiIiIiIiO8c5BUREREREdo5JARERERGRnWNSQERERERk55gUEBERERHZOSYFRERERER2jkkBEREREZGdY1JARERERGTnmBQQEREREdk5JgVERERERHaOSQERERERkZ1jUkBEREREZOeYFBARERER2bn/D5PhGg80WvzTAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 800x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "md = oc.MinDriver()  # create energy minimisation driver\n",
    "md.drive(system)  # run energy minimisation\n",
    "\n",
    "system.m.sel('y').mpl()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that after applying the magnetic field, all magnetic moments align parallel to $\\mathbf{H}$.\n",
    "\n",
    "We can change the direction of applied field to be in the negative $x$ direction and inspect the minimum magnetisation state."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:52]... (0.2 s)\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 800x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "system.energy.zeeman.H = (-1e6, 0, 0)\n",
    "md.drive(system)\n",
    "system.m.sel('y').mpl()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Uniaxial anisotropy\n",
    "\n",
    "Uniaxial anisotropy energy tends to align magnetic moments to be on the anisotropy axis either parallel or antiparallel without a preferred direction. Its energy density is $w_\\text{a} = -K(\\mathbf{m} \\cdot \\mathbf{u})^{2}$, where $K$ is the anisotropy constant and $\\mathbf{u}$ is the anisotropy axis.\n",
    "\n",
    "Let's assume our anisotropy axis is in the $(1, 0, 1)$ direction with $K = 6 \\times 10^{6} \\,\\text{J}\\,\\text{m}^{-3}$ and the initial magnetisation is defined as\n",
    "\n",
    "$$\\mathbf{m} = \\begin{cases} (-1, 0, -0.1) & \\text{for } x \\le 5 \\,\\text{nm} \\\\ (1, 0, 0.1) & \\text{for } x > 5 \\,\\text{nm} \\end{cases}$$\n",
    "\n",
    "with $M_\\text{s} = 8 \\times 10^{6} \\,\\text{A}\\,\\text{m}^{-1}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 800x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "system = mm.System(name='uniaxial_anisotropy')\n",
    "system.energy = mm.UniaxialAnisotropy(K=6e6, u=(1, 0, 1))\n",
    "\n",
    "def m_initial(pos):\n",
    "    x, y, z = pos\n",
    "    if x <= 5e-9:\n",
    "        return (-1, 0, -0.1)\n",
    "    else:\n",
    "        return (1, 0, 0.1)\n",
    "\n",
    "system.m = df.Field(mesh, nvdim=3, value=m_initial, norm=Ms)\n",
    "\n",
    "system.m.sel('y').mpl()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can now relax the magnetisation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:52]... (0.2 s)\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAwUAAADaCAYAAAD35e4eAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy81sbWrAAAACXBIWXMAAA9hAAAPYQGoP6dpAABIIklEQVR4nO3deVyU1f4H8M8Aw44MCIK5p4hiCgZiLqm5IGrmnivmdcX9Zt0yNUszyyUtNc3Mcl/SG3o19z20RK3UVEBNU0KRfV9meX5/EPMTGWB4mH0+79drXi99nnOe8x1QON85m0QQBAFERERERGS1bIwdABERERERGReTAiIiIiIiK8ekgIiIiIjIyjEpICIiIiKyckwKiIiIiIisHJMCIiIiIiIrx6SAiIiIiMjKMSkgIiIiIrJyTAqIiIiIiKwckwIiIiIisiixsbGYOHEigoODERgYiFGjRiEmJkbruuHh4fD398fdu3d1/nxTxaSAiIiIiCzGgwcPMHLkSKSnp2P58uX46quv4OrqirFjx+Lq1asV1t2+fTuGDBmCnJwcvTzflEkEQRCMHQQRERERkS7Mnj0bR44cwalTp+Dp6QkAKCoqQlhYGBo2bIhNmzZprBcTE4Px48dj/vz5ePToEdasWYNDhw6hcePGOnm+qeNIARERERFZBEEQcOLECbRv317dYQcAe3t7hIWF4eLFi8jKytJYVyaTYdeuXRg8eLBenm/qmBQQERERkUVITExEdnY2/Pz8ytzz8/ODSqVCfHy8xrpNmzZFQECA3p5v6pgUEBEREZFFSE1NBQB4eHiUuVdyraSMKT7fmOyMHQARERERmSfF4yYGb9PO906594qKigAUT+d5llQqBQAUFBSIblvfzzcmJgVEREREJIpSUBm8zYo6rw4ODgAAuVxe5l5Jh97JyUl02/p+vjExKSAiIiIiUVQwrU0svb29AQBpaWll7qWkpJQqY4rPNyYmBUREREQkilxQGrzNij6H9/X1hYeHB+Li4srci4uLg1QqRdOmTUW3re/nGxMXGhMRERGRKCoIBn9VpmfPnrhw4QKSk5PV1/Ly8nDs2DF06tQJLi4u1XrP+n6+sTApICIiIiJR5FAZ/FWZKVOmwMnJCZGRkThz5gzOnz+PKVOmID8/H7NmzQJQfFBZQEAAdu/era6XkJCA69ev4/r163jy5AkA4M6dO+prJWsGtHm+OeL0ISIiIiISRSmY1poCAPDx8cGOHTuwbNkyzJo1C4IgICgoCFu2bEGTJsW7JQmCAKVSCZXq/5OMNWvWICoqqtSzZsyYof7zyZMnUbduXa2eb44kgmCC300iIiIiMnkP/65t8Dbr1Xlk8DatAUcKiIiIiEgUJT9athhMCoiIiIhIFMOfUkD6wqSAiIiIiESRCxJjh0A6wqSAiIiIiERRgkmBpWBSQERERESiyAXubm8pmBQQERERkSgcKbAcTAqIiIiISBQlz8G1GEwKiIiIiEgUTh+yHEwKiIiIiEgUJZMCi8GkgIiIiIhEkcPW2CGQjjApICIiIiJROFJgOZgUEBEREZEoKu4+ZDGYFBARERGRKEUCu5KWgt9JIiIiIhJFxS1JLQaTAiIiIiISpUjgQmNLwaSAiIiIiERRcaGxxWBSQERERESi8ERjy8GkgIiIiIhEkXP6kMVgUkBEREREovCcAsvBpICIiIiIROFIgeVgUkBEREREonBNgeVgUkBEREREoqgEnmhsKZgUEBEREZEocp5obDH4nSQiIiIiUZTgSIGl4EQwIiIiIhJFLtga/GWN9u3bh0ePHlVY5qeffsLGjRtFt8GkgIiIiIhEUQk2Bn9Zo/feew/Xr1+vsMzdu3fx1VdfiW6D04eIiIiISBRr/eTeEGJjYxEbGwsAEAQBMTExyMvL01i2oKAAe/bsgUKhEN0ekwIiIiIiEoWHl+nPTz/9hM8++wwSiQQSiQTbt2+vsLwgCAgPDxfdHpMCIiIiIhKFW5Lqz4QJEzBgwAD8/vvvmDZtGsLDw9GkSRONZW1tbVGvXj307NlTdHtMCoiIiIhIFE4f0i8vLy90794dbdq0wahRoxASEqK3tpgUEBEREZEoKu5ZYxBbt27VextMCoiIiIhIFLnKNJOC2NhYrFixAleuXIFCoUDLli0xY8YMhIaGVrve7NmzERUVpbF+3759sXz5cp2+lxJpaWk4d+4ckpKSIJfLNZaRSCSYOnWqqOczKSAiIiIiUUxxi9AHDx5g5MiReP7557F8+XI4Ojpi8+bNGDt2LLZv347AwMBq1/P29sa6devKPEMmk+nlPV26dAmRkZHIy8uDIAjllmNSQEREREQGZ4onGq9duxZKpRLr16+Hp6cnACA4OBhhYWFYuXIlNm3aVO169vb2aNmypb7fitpnn32GwsJC9OvXD4GBgXB0dNR5G0wKiIiIiEgUhcq0FhoLgoATJ06gffv26o49UNyJDwsLw9atW5GVlYUaNWropJ6h3Lp1C6NGjcLs2bP11obpjfkQERERkVlQQWLwV0USExORnZ0NPz+/Mvf8/PygUqkQHx+vs3qGIpVK0bx5c722wZECIiIiIhJFbmIjBampqQAADw+PMvdKrpWUqU69goICLFq0CGfOnEFSUhJ8fX3Rr18/REZGws5O993r5s2b4+HDhzp/7tM4UkBEREREoqgEicFfFSkqKgJQPO3nWVKpFEBxh7669TIyMiCRSPDxxx9j3bp1CA4OxurVq7F48WItv3JVM3PmTOzcuVOvoxUcKSAiIiIiUSqbzmNoDg4OAKBxy86Sjr+Tk1O16s2dOxfvvfce3N3d1WU6duyI/Px87NixA6NHj0bDhg2r90aecfPmTbRt2xYDBgzASy+9hEaNGmlMYCQSCf7zn/+IaoNJARERERGJYmoLjb29vQEU7+n/rJSUlFJlxNZzc3PT2HaPHj1w5MgR3LhxQ+dJweLFiyGRSCAIAs6fP4/z589rLMekgIiIiIgMrrLpPIbm6+sLDw8PxMXFlbkXFxcHqVSKpk2bVrueXC5XTysqUTK9qGTUQZc++eQTnT/zWUwKiIiIiEgUhQkeXtazZ09ERUUhOTlZ/el+Xl4ejh07hk6dOsHFxUV0vdzcXHTu3Bnt27fHqlWrStU/duwYpFIpgoKCdP6eBgwYoPNnPsv0vpNEREREZBZMbaExAEyZMgVOTk6IjIzEmTNncP78eUyZMgX5+fmYNWsWACAmJgYBAQHYvXt3leq5uLhg2LBhOHr0KObPn4/o6GicPXsWb731Fs6ePYvx48fDy8tLP1/sf/z11184f/48MjMzdfpcjhQQERERkSimNn0IAHx8fLBjxw4sW7YMs2bNgiAICAoKwpYtW9CkSRMAxYeVKZVKqFSqKtUDgLfeegv169fH1q1bERUVBRsbGzRp0gSffPIJBg4cqLf3deHCBSxcuBB//fUXAGDLli1o06YNAGD06NEYN24cOnfuLPr5EkEQBJ1ESkRERERWpde5mQZv83CnLwzeprFdv34dw4cPh1QqxYsvvogLFy6ok4K0tDS8+uqryMrKwrZt20RPX+L0ISIiIiISxRSnD1miDRs2QCaT4X//+x9WrlyJpz/T9/T0xP79++Hl5YVvvvlGdBucPkREREREoihU/HzZEH799VcMHz4c9erVQ3Z2dpn73t7eGDZsGDZv3iy6DSYFRERERCSKtX5yb2gZGRmoX79+hWXq1KmjMWHQFpMCIiIiIhJFaYJbkloid3d3JCcnV1jm7t27kMlkotsw2e9kbGwswsPD4e/vj7t372pVJyYmBqNGjUJQUBBefPFFTJw4EbGxsXqOlIiIiMg6cU2BYQQHB2P37t3ljgRcvHgRW7ZsQXBwsOg2TDIp2L59O4YMGYKcnByt61y5cgVjx46Fk5MTvvzyS3z++efIysrCqFGjkJCQoMdoiYiIiKyTIEgM/rJGkyZNQmJiIgYPHoy1a9dCIpHg0KFDWL58OYYNG4YxY8ZAoVAgMjJSdBsmtyVpTEwMxo8fj/nz5+PRo0dYs2YNDh06hMaNG1dYLyIiAg8fPsSxY8dgb28PAEhLS0PXrl3Rp08ffPzxx4YIn4iIiMhqvHT0PYO3+UvPTwzepimIjo7GvHnz8Pjx4zL3fH198fHHH6NDhw6in29yawpkMhl27dqFgIAArF69Wqs6GRkZuHTpEiIiItQJAVC8RVOHDh1w4sQJJgVEREREOmat03mMoWPHjjh+/DguX76M27dvIzc3F66urmjatClCQkJga2tbreebXFLQtGnTKteJj4+HIAga6zZp0gQnTpzAo0ePULt2bV2ESEREREQAlEwKDEoqlaJdu3Zo166dzp9tckmBGKmpqQAADw+PMvdKrqWmplaaFDT64jPdB0dERERkQPdmvmWwtqx1jr+xJCYmIikpCQqFotwybdq0EfVsi0gKCgsLARRnT88quVZQUGDQmIiIiIgsHacPGcbjx48xffp0/PHHH5WWvXXrlqg2RCcF169fx+XLl5GQkIC0tDRkZWWhRo0a8PT0RN26dRESEoKWLVuKfXyVODo6AgDkcnmZeyXXnJycDBILERERkbVQqZgUGMJHH32E69evo06dOmjVqpW676tLVUoKFAoFdu7ciS1btqi3+Sxv8yKJRIJ69erhjTfewNChQ2Fnp79BCS8vLwBAenp6mXspKSkAio9/JiIiIiLd4fQhw4iJiUH37t2xevVqSCT6+Zpr3VO/du0a3nnnHdy/fx+Ojo7o0KEDOnbsiEaNGsHT0xM1atRAVlYW0tLScO/ePfz000+4cuUKPvroI2zbtg1LlixBq1at9PIm/P39YWtri7i4uDL34uLi4O3tjVq1aumlbSIiIiJrpeRIgUEUFRWhW7dueksIAC2Tgr179+LDDz+ETCbD/PnzMWDAgAqn43Tu3BljxoxBfn4+fvjhB6xbtw4jRozAggULMGjQIJ0FX8LNzQ3t27fHkSNH8Pbbb6uHVJKSkvDzzz9j+PDhOm+TiIiIyNpxpMAw6tevj8zMTL22odWJxvPmzUP//v1x9OhRjBgxQuv5+U5OThg5ciSOHTuGfv36Yd68eZXWSUhIwPXr13H9+nU8efIEAHDnzh31taKiIuzbtw8BAQGIjo5W13vrrbeQnZ2NqVOn4sKFCzh9+jQiIyPh7u6OSZMmaRUvEREREWmPJxobRkREBPbu3aveXEcftBop+OijjzBkyBDRjTg7O+Pjjz9GUFBQpWXXrFmDqKioUtdmzJih/vPJkyehUqmgVCqhUqnU15s3b45NmzZhxYoVmDJlCmxtbdGuXTusXLlSveaAiIiIiHSHuw8ZRqtWrRAQEIDevXtj6NChaNiwIRwcHDSW7dy5s6g2JEJ5K4WtEM8pICIiInNnyHMKmu79yGBtlYgf/L7B2zS2Zs2aQSKRQBCEStcVGHxL0qNHj+L06dNITk7WuBUoULwD0ebNm8U2QUREREQmjFuSGkb//v31usgYEJkUrFu3DqtWrSp3O9IS+g6eiIiIiIzHWuf4G9qnn36q9zZEJQX79u2Dt7c33n33XTRv3rzcOU1EREREZMGYFBhFTk4O8vLy4OLiAhcXF508U1RS8PjxY/znP/9Bnz59dBIEEREREZkfQVV5GdKNlJQUrFmzBidOnEBqaqr6uo+PD3r16oWpU6fC1dVV9PNFJQW1a9fW6wnFRERERGT6OH3IMJKSkjBkyBA8efIEUqkUDRo0gJOTE/Ly8vD333/ju+++w9mzZ7Fr1y7UqFFDVBuievYjRozAnj17MHDgQNjb24tqmIiIiIjMm8CFxgaxdu1apKWlYf78+Rg0aFCpqft5eXnYsWMHVqxYga+//hpvv/22qDZEJQWjR49GZmYmwsPD8dprr6FOnTqQSqUay/bv319UYERERERk4rixvUFER0dj+PDhGDFiRJl7zs7OGD9+PB48eIDjx48bNin47bffsGPHDqSnp2P9+vUay5Tso8qkQLyixESkHzgEr4gRsHV2NnY4OicoFEjetgNu7dvBqamfscPRi+yLMShKSITnwH4WuRuXPDUNqd/vhdeIobBzdzd2ODonqFRI3b0XTs394RIUaOxwiIhMkOX9bjNFT548QYsWLSosExgYiH379oluQ1RS8MknnyAjIwMdOnRAQEAAdx/Sg6LERDz+cj1UublIWvc1fCZPtKjEQFAo8OTbTci/GYv8G7dQa8JYi0sMsi/GIHXXHkAQAEEFz0EDLCoxkKem4fGadVCmp+Pxmq/gOy3SohIDQaVCys7dyL10BTmXLgOAxSYGgkoFRWoqpN7exg5Fb+RJT2BXy9ui/g8+TZmXD0Ehh53IucSmThAEKJ4kQ+pTy9ih6I08OQV2nh6Q2NoaO5Sq4UJjg7C3t0dGRkaFZfLz88uduaMNUUlBfHw8Ro8ejffee090w1S+pxMCACh6mGBRicHTCQEACHI5nmz41qISg1IJAYDs6AsAYDGJwdMJAQAokpMtKjF4OiEAAKhUSN6yHYBlJQaCICD/xk2k/3gE3hFlh6QtgTwlFRmHj8DOwwMer/Y2djg6p5LLkR19Hrm//o7aM6cZOxy9yL99B+kHfoRH3z4WmRQoMrOQcfQYoBLgNWyIscOpOi40Ngg/Pz8cOXIEo0ePho2NTZn7SqUSBw8ehJ+f+H6UqKTA2dkZzZs3F90ole/ZhKCEoFQBKvOfuPdsQqC+LggQlEojRaVbzyYEJQSFoviamScFzyYEaioloDL/j4zKJATqG0Lx99BCFNy7j/QDP6Lwz3twaRMM++dqGzsknVLm5CDj2Alkn/8ZNg72qDNvjrFD0ilBpULu5StIP3QUyowMeI0aAYmF7QpY9Hci0g/8iPzYODg284eTXxNjh6RTqvx8ZJ46g6yz5yCoBNSd+66xQxKFW5IaxpAhQzB37lwMHToUQ4cOhZ+fn3r3ofj4eOzcuROxsbFYsmSJ6DZE/QTp0qULLl68yPUCIqkKCyF/9BgODRuUul5eQiB97jn4TpkEW1fdHE5hCPnxt8t86l9eQgA7O9QaNwbOzZsZMMLqKfzrAaQ+tWDj6FjqenkJgetLoaj5+mBINGT3pkhQKlF47z4cmzQudb28hMCupid8p02GnYeHIcOsFo3/RstLCCQSeI0cBteQYANGqB9Fjx8j/eBh5P9xo/iCrS08evU0blA6pCosRNbps8g8fRZCYSEAwL17N9g6Oxk5Mt0QBAH5N28h/eAhyB89BlD8O8LlxSDjBqZD8tQ0ZBw+gtwrv6l/llrSKI+gUCAr+gIyj5+AKjcPAFDjlc5m9fOzFI4UGMSgQYNw69YtbNu2DX/88YfGMhMnTsRrr70mug1RScHcuXPx5ptvYuHChRg8eDDq1KlT7takTk6W8YNYl7LOnIMiNbVUUmBJCYE8ORnJ321B3QXzYWNfPLfNkhICQRCQtv8A3Dq0h2twa/V1S0kIACDn4iXkXf+jVFJgSQmBMjsbT77djLpz34WtmxsAy08IFBkZyDhyDDkXL5X6N1rj5Q6w8/Q0YmS6ISiVyP75F2QcPQFVdrb6uq1MBreXOxgxMt15enTnaZ59+5jVz5fyFI/unET2+QvAUyPHLsEvwqFuHSNGphuCSoXcK78h/dCRUj9HJY6OcO/e1YiRVY+EIwUGM2/ePAwYMABHjx7F3bt31Sca+/n5oXfv3tWaOgSITApeeeUVAMBPP/2EnTt3lltOIpHg5s2b4iKzUMqcHGSeOgOJjQ0EhQISOzuLSggAIP3HI1Dl5yM/NhYurVpaVEIAAPk3b6Hwz3uwdXVRJwWWlBCoioqQceQYlDk5UObmwdbF2aISAgDIOHYSQkEBcq9eR42O7S06IVDm5SHz5Glkn/sJgrz09CeJoyPce3QzUmS6IahUyLt6Dek/HoEiJaXMfVmvnrCpxsI7U1CU9AQZPx5C3rWynw46+jWBY7OmRohKd1SFhcg6+xMyT55Wj+6o2dpC1tu8R7IEQUD+rdji0Z3ER2Xuu3fvClsX8/o9XwpHCgyqRYsWle5CJJaopKDkCOXqHKVckdjYWKxYsQJXrlyBQqFAy5YtMWPGDISGhpZbJyIiAjExMRrvRUZG4s0339RLrFWVcewkhMJCCCievmAnc7eohKDwwQPk/X4VAJD3+zU4BzS3qIRAUKmQfuBHAED+rVioCgqQe/WaxSQEAJB19icos7IAAHl//AHHJk0sKiGQp6Qg+8LPAIC8q1fh1v4li0wIVEVyZEdHI/PEKajy8jWWce/2ill3RvLjbyP9wI8oepig8b7U1weubczz+wcAioxMZBw9hpxfYsr8fCnh0be32W5eICiVyP7lIjKPHocyK1tjGbcO7SGtWdPAkelO4f2/kHbgRxTe/VPjfVv3GqjRqaOBo9IxE13uKKYvWZV6CQkJ+Oyzz3DhwgXk5eXBz88PkZGRCAsL0+fbQlpaGn799VekpKQgKysLMpkMtWrVQuvWreFezY0+RCUFp06dqlajFXnw4AFGjhyJ559/HsuXL4ejoyM2b96MsWPHYvv27QgMLH/njxYtWmDBggVlrteqZRq7FchTU4uHRf+RdfoMihIfW0xCIAiCusMMAHl/3MCTjZuQf8syEgIAyLl0BfLHSQAAQa5Ays7dxZ/eWUhCoMzNRebJ0+q/Z5//GRlHjltMQgAAGYeOqqcmFNz5E8mbtyLv6vXShcw4IRBUKuRcuoyMw0ehzMgst5xtjRqo0fllA0amO4UJfyP9wI8oiIuvsJyHmU6rUeblI+vkaWSdO1dmdOdpzkGBcKhf34CR6YYgCP+M7hyGIrns6E4JiYMDZGHmOZIlT3qC9EOHy/5seYYsvCdsypl+bTZMcPqQ2L6ktvUyMzMxYsQIODk5YcGCBahZsyZ++OEHzJgxA6tWrdJLYqBUKvHJJ59g165dUP7zO6zkTDAAkEqlGDNmDGbNmiW6DZPbqmDt2rVQKpVYv349PP+Z5xocHIywsDCsXLkSmzZtKreui4sLWrZsaaBIq+7pzggAFNy+W6aMuSYEAFAQG1/qPQlFRRaVEKiK5Mg4fKTUNU0/8M01IQCAzOPF02pKFD14WKaMOScEhQ8TkPvrb/9/QRAsJiFQby968JA6ca2ILDzM7DojJduL5l75rdKyDs83glOAee2SV7K9aObxk+WO7qjZ2MCjT7hhAtOhku1FNf1seZZ71y6w1dOMBH0p2V4055eYSndjk9aqBdfQEANFpkcmOH1IbF9S23pbtmzBkydPcODAAfU8/pCQENy9exfLly/XS1Lw9ddfY9u2bfDy8kLXrl3h4+MDV1dXZGdn48GDBzh79iw2bNgAd3d3jBs3TlQbopMChUKB3377DUlJSVBUsE1fVXYoEgQBJ06cQPv27dXfDKD4wIawsDBs3boVWVlZqGGGh7MUJvyN3Cu/VljGnBMCQaVC2lOjBBqZcUIAANnR5yv85BUw74RAkZaGrJ/OV1jGnBMCAEg/eKjiAmaaEBT8ea94Aeq9+1qVt/P2hmvbNvoNSoee3l4UWm5d7NG3j9lMq3l2e1FtuLVra1aHzT29vag2bNzcUKNLJz1HpTvq7UXPnIMgl2tVR/Zqb/M7qEwDU1toLLYvWZV6x48fh7+/f6mFvRKJBH369MHixYsRFxcHf39/nb6vH374AS1btsTmzZvhrOHMqpycHIwePRq7d+82bFIQHx+PiRMnIimp/E+jSoY0qpIUJCYmIjs7W+PqaT8/P6hUKsTHxyMkxPwy68o6IzZOTqg17g2zTAgAIPfX3yFPTKywjOdrr5ptQqDMy0fmiZMVlnFo1BA1Bw80y4QAANIPH624w2VnB+9/vWG2CUF+XHyl003cu3eFS/CLBoqo+ooeJyH94KH/315USx5m0hnRtL2oNpxbvgDHRg31F5iOaNpeVBsSeynce/bQY2S6o2l7UW3IevaAjYODHiPTDU3bi2rDoWEDOLfUz2JRaye2L6ltvaCgIPz5558IDy87UldS99atWzpPCh4/foxJkyZpTAiA4nW+w4YNw6JFi0S3ISop+OSTT/D48WO0adMGgYGBcHxmr3axUlNTAQAeGjodJddKymiSnp6O2bNn45dffkFKSgoaNGiAESNGYOTIkTqJT6z8+NsoqOTTEVV+Pv7+ZBmcmvnDJSgQzi8ElNkD31QJCgUyDh2utFzaD/uQ/UsMXFoHwiWolVl9ypV18nSlw/mF9+7j4QcfwbnVC3AJCoRjk8Zm0fECgKLER8i9XPFIFhQKPFrxBRz9msCldSCcW75gNotUBZWq8lECFE+fyr16DS5BgXAJCoS0tq9Jf9ps6+oK5xbNIcjlKLh9R6vD4+wb1IdzqxcMEF31Sezs4NCwAVxaByHv+nXtOl0SCWR9euk/OB2QSCSQennBpXUQciVXNe5Mo0mNLp1hZyYj5rbOTnDy94cqv6B4lECLkR47Ly+4tWtrgOh0wMYGDvXqwOXF1si7eq3cBdPPMqeRrMpITGyhsdi+pLb1srKyIJfLKyyXlpYmMvryeXh4QFXJz3iVSoWa1ViYLyopuHr1KgYNGoSPP/5YdMOaFBUVAYDGMw+k/2wpV/DUfOdnJSQkICwsDJ999hmysrKwa9cuLFy4EAUFBaKHUqrr6d1qKqVQIP+PG8i/FQv3VzpD1jvcLD51zj7/MxRp6ZUXBCBPTERGYiLyY+PgPXKYWeyPrsjIRNa5c1qVVeXmIufni8j74yZqDuwHl9ZB+g1OR9IPHtLuUzyVCgVx8SiIv42iBwnwGPCaWWz3mPf7tXJ3qHmW4kkyMo+dQP6tWHiNGAb72r56jk48W1cXuLV7CW7tXoIyJxdp/41C7m+/V1jH04w6IxJbWzg184dTM38IQwYi97ffkbJ9V4X/Vl3bhsLe18eAUVaP1KcWZGHdIQvrDnnSEyR9822Fi29tXFzg3rWL4QKsJhsnJ7i2CYZrm2Co8vOR/uNhZEdfqLCOx6u9zOYDFYmNDRwbN4Zj48bwHNAP+bdi8eTbzRUmP04tmsOx8fMGjFLPVKb180RsX1LbeoX/jFqK7auK1a1bN5w5cwavv/56uWXOnTtXrfUMopICQRDQpo3u56M6/DNUKNcwH6/km1XeYWirV6+GnZ1dqW1Su3TpgqFDh2LVqlUYOnSo3rZQrUjeVe07I5BI4BL8ImS9ekJa0/Q7ywCgKihAxrETWpeX1q4Nj7694dS8mdl0TDKOHKtwB5CnSRwc4N7tFdTo/LJZDH0DQMGdu8i/eUvr8s6tXoCsdy+z6XgJCgXStRjJKmHnVRMevXvBOaiVWSTlJQrv30futYp3OnEKaF7mlGpzocrLQ+aJUxUmBBKpHWTh+t0OUF8EQUD2LxcrTAgAQBbW3WxGkZ9V9OgxcmIuV1jGvn49OAe2MlBEuiUUFRX/G61oNEQisajTmQGY3JakYvuS2tarTl+1Ot566y38+9//xtSpUzFs2DA0bdoUrq6uKCgowN27d7Fr1y7I5XJMmjQJ+fmlZzZoG4+opKBJkyZITk4WU7VC3v9MJ9E07JLyz6E03uVMOZHJZGWuSSQSdOvWDVevXsWdO3cQFBSks1i1ISiVSP/xSOUFATgFNIPHq71h/9xzeo5KtzJPnSmzpaomth4yePTuBZfg1mbV0Sp6nISci5rPvyjF1hZuHdpDFtbNrHbLEASh8gXi/3B4vhE8+vYxi7naT8v++SIUKeVPOyxh4+oKWXgPuL3UFhI7k9uYrUJ5f9zAk++2WGxnRJmdjcdfflXprkpunV6Gnax6+3QbgyAISP/fQWSdPlthOTtPD7h1aGegqHSr4M97SPpqA4R/Ok3l8XjVPM9dUBUUIGn9N5Uu9ndtEwz72rUNE5SBmNpCY7F9SW3rubu7w97eXlRftTratm2rnj5U0dEAHTqUPsG9KgcJi/rNN3HiRCxevBgDBw6s1tylZ/n6+sLDwwNxcWXn38fFxUEqlaJpU80nN6pUKqhUKtg988u8ZAjHwQif2hZ3Rir+1Me+fj149O0DJ78mBopKdxRZWcg6U/EvMRtnZ7iHdYdbh3ZmMc3kWRk/Hq54Wo1EApcXW0PWu6dZHrCTd+0PFP31oMIyUl+f4n+jAc3N7pe1qqAAGUePV1hG4uAA91c6o8Yrnc1mdOdp5SUE0ueeK7X43yXkRdg/Z36dkfISAhs3NwCAKrt4DreNsxPcu71i8Piqq6KE4Nnvoax3L7NLWIHyE4Jn359jM384NS27yNPUlZcQSBwcYOvi/P/Ta+3sIOtl3qcza2RiIwVi+5La1rO1tYWfn1+55QDo5cRhHx/9j86L+uliY2ODkJAQ9OzZE3369EHDhg01zq0CUOVFvj179kRUVBSSk5PVmVZeXh6OHTuGTp06wUXDwsYHDx6gd+/eiIiIwLvvvqu+rlQqceLECchkMjRpYthOt6qwsMLOiJ23Nzxe7QXnVi3NrqNVIvPocQhFmrdek0ilqNGlE9y7doGNHobRDKHg3n3kXf+j3PtOzfwhe7U3HOrWMWBUulM8klX+4ltbmQwevXvCJSTYrEZ3npZ15hxUOTmab9rawq19u+LRnX86mOamvITAueUL8IoYiYSFHxe/f1tbeJhhZ6SihMB36iTk/ByDrLPF633cu3eDbTm7cpiqihICzwH94ND4eTxavhJAcQfa5cUgA0dYfeUlBA6Nn4fPxHF4tHKV+vtrjiNZFSUEPpMnovDOXfUmBzVe7mC2u7dVxNQWGgPi+pJVqRceHo7PPvsMsbGxaNaseFdFlUqFAwcOoFmzZmjUqJHO35M+Dw4uISopmDp1KiQSCQRBwO7duzV2aku2JK1qUjBlyhQcOXIEkZGRmD59OqRSKTZs2ID8/Hz1KW0xMTEYM2YMPvjgAwwdOhT169dHjx49sHnzZtjZ2aF9+/bIy8vDjh07EB8fj0WLFqkXfxhK1plz6k+wnmZbowZk4WFwbdvGbBZSaSJ/kozsny+WvWFjA9eXQiHr2QN21Txu25iePZ35afb16hZ/cm6Gn2g9LSfmEhRPyk4DtHF2gnuPbnDr2MEsR3dKKLOzkVnOdAyX4NaQ9QqH1Mv8RndKVJQQeL8xChI7O7gEtkT2+Z+LOyNmsKj/aZUlBPa+vnAOaoWss+dgK5PB7eUO5TzJNFWWENTo/DIEQYCdV00oUlKLF4ibWXJeWUJg4+AAl6BAZBw5BpfgF83uA5bKEgLHhg1g6+qK9IOHIHF0hHt38zyduVImttAYENeX1LYeAIwaNQp79+7F9OnT8fbbb0Mmk2HXrl24e/cuvvnmG6O8Z12oVlKgDz4+PtixYweWLVuGWbNmQRAEBAUFYcuWLepP+wVBgFKpLLU105IlSxAQEIA9e/bgu+++g1QqRUBAANatW4euXbvqJdbyKHNykHnqTKlrEkfH4gWonTqa5RSFZ6UfOlxm+0PnwJbw6N0LUp9aRopKd/Jv3kLhn/dKXbPz8ioe3QlsZbajOyVURUXIOHys1DWJ1A41OnVCjW6vwNbZPEd3npZx7GSZve0d/ZvCo28fs+t8PEubhAAAnIMCkXPlN7j3MK/OiDYJAQA4NKgPW5k7ZL16mlUCq01CABTPBXYJDEThgwdwbKZ56qyp0iYhAADnoFbIOH4Sst7mNZKlTUIAAFKvmrCvVxcuga1g62JeI1naMsWRArF9SW3qAYCzszO2bt2KpUuXYv78+cjPz0dAQADWr1+Pdu30t+6nqKgIv/32G5KTk3V2cPDTJIJQhdNELFyjLz7TyXNSf9iH7HPRxX+xtUWNjh3g3qOb2R5M9qzCvx7g0cpV6r87NH6+eAHqPz8EzZ2gUiFx6WfqDomNmxtkPXvArV1bsx7deVrG8ZPF6yUAQCKBa9tQyMLDzHKRpibylBT8/ckydafZvl5deLzaG07+5tWx0kTbhAAo/recE3MZbi+FGjpM0bRNCEpk/xID19AQs/kUXduEoERhwt+ASgmH+vUNFWK1aZsQlMj++Re4tXvJkCFWi7YJQYmcy7/CudULsClnmrU+3Jv5lsHaarp4pcHaKhE/502Dt2lsv/76K6ZOnYqMCk49L5mlc+uW9jsKPk2rkYIvvvgCM2fOFNWAPp5jyuQpqcg+/3PxAtSQF+HRq6fZDdtX5OlpNea4vag2ci5dgfxxklluL6oNZW4uMk+eBmB+24tqK+NQ8enMdl414dHnn9EdM+k0VqQqCQFQvIe6JScEAMzq/VU1IQBgdqNaVU0IAFh0QgAAriHmc0q6KPxo2SCWLl2KjIwMtG/fHgEBAXrZQEerpGDDhg24fv06Fi1aBF8NP5Qr8+jRI8ybNw8XL160+KQg4/AROPn7meX2otrIj42DPDUVXiOHm932otpQFcmRefwE3Dq9bHbbi2or8/hJ2D9X2yy3F9VG4cMEFNy5A8/BA8xye9GKaDoRtryEwBwVPU6C/JntYytKCMyNUFSE/LjbZa6XlxCYo4Lbd6qUEJgbeUoqih49LnWtooTAKjApMIjbt29j1KhRmDt3rt7a0KpHt3btWvz+++/o0aMHFixYgIQE7Q7jSkhIwIcffoiwsDBcvXoV69atq1awpk5VWAi39i/BZ+J4i0wIgOITRuvMeReubcx3R5qKKNLS4DN5ImoO7GeRCYGgUMCpeTP4Tp9ikQkBAAhFhagzdzZqdOxgER3lp3kO7A/Xl9qq/25JCQEAOPk1Qa1xY4B/3o8lJQQAYOPgAN+pkyB96veDJSUEAOAe1r3UGhZLSgiA4pEb38gJkPxzgJzVJwQoXlNg6Jc1cnBw0MtWp0/Tek3Bw4cP8d577+Hy5cuQSCR4/vnn0aFDBzRq1Ag1a9aEm5sbsrOzkZqainv37uH8+fP4888/1acfL168GPXq1dPrm6kuXa0pICLSF0GlQur3/4UqN9eiEoKn5d2KRer3/4XPpHEWkxA8TZmbi6S16+Ea2saiEoISgiAg49ARFPx5z6ISgqcV3v8LTzZthfeYCJNMCAy5psB/oeHXFMTNt741Be+88w4cHR2xcOFCvbVR5YXGx48fx5YtW/Dbb79BoVCUux2pnZ0dWrdujTfeeAPdu3fXWcD6xKSAiMyBoFIBgmAxC981ERQKi0x4Slj8+xMEQKm07Pdowt9DQyYFzT40fFIQ+6H1JQVpaWn417/+hZdffhlDhgxBnTp1yhzYW11VflqPHj3Qo0cP5OTk4JdffsH9+/eRlpaG7OxsuLm5wdPTEw0bNsRLL70EVwucfkFEZGyWOHXvWaba2dIVi39/Eol6GpilsvTvodasdDqPoTk5OaFVq1bYuHEjNm7cWG45iUSCmzdvimpD9L9oV1dXsxkBICIiIiLds9Y5/oa2YMEC7N+/HwBQs2ZN2Othi1umuUREREQkikRVeRmqvjNnzqB169ZYuXIlfHz0s404kwIiIiIiEocjBQZRWFiIwYMH6y0hAJgUEBEREZFIHCkwjGbNmiElJUWvbVj+ajUiIiIi0g/BCC8r9M4772DXrl24du2a3trgSAERERERicKRAsM4cuQI/P39MXToUPj5+aFOnToaFxtLJBJ8/vnnotpgUkBERERE4ljpJ/eGtnnzZvWf4+PjER8fr7GcpvPDtCUqKbh06RLq1asH3wpOmvzjjz+wfft2fPLJJ6KDIyIiIiLTxS1JDWPLli16b0NUUhAREYEaNWpg2bJl6Ny5s8Yyf//9N/bt2ycqKYiNjcWKFStw5coVKBQKtGzZEjNmzEBoaKhe6hERERGRCJw+ZBCG6MuKXmicl5eHyZMnY/369bqMBw8ePMDIkSORnp6O5cuX46uvvoKrqyvGjh2Lq1ev6rweEREREYkjMcLLmhUVFSE6OhpbtmzB+vXrsW3bNvz8889QKBTVfrboNQXvv/8+Dh8+jM8//xw3b97Ep59+Cicnp2oHtHbtWiiVSqxfvx6enp4AgODgYISFhWHlypXYtGmTTusRERERkThcaGw4UVFR+PTTT5GVlQUAEARBvYbA29sbCxcuRJcuXUQ/X/RIgYeHB7799lu88cYbOHr0KIYNG4aEhATRgQDFb+7EiRNo3769umMPAPb29ggLC8PFixfVXwhd1CMiIiKiauCWpAYRHR2NOXPmQKlUom/fvnjzzTcxZ84czJw5E+Hh4cjOzsa0adOqtWVptXYfsrGxwezZs9GiRQu8//77GDx4MFauXIl27dqJel5iYiKys7Ph5+dX5p6fnx9UKhXi4+MREhKik3pEREREVA1W2kk3tO+++w7169fHtm3b4O3tXeb+33//jVGjRmHDhg1YvXq1qDZ0cnhZ3759sXPnTjg7O2PChAn47rvvRD0nNTUVQPEoxLNKrpWU0UU9IiIiIhJPojL8yxr98ccfGDx4sMaEAADq1KmD119/HVeuXBHdhs7OKWjevDl++OEH/Pvf/8bSpUvRoEGDKj+jqKgIADQexiCVSgEABQUFOqv3rHsz39I+WCIiIiIrxy1JDSM3Nxe1atWqsMxzzz1XrenyOhkpKCGTydTrDO7fv1/l+g4ODgAAuVxe5l5Jx1/TYmax9YiIiIhIPI4UGIZMJqu0b/3gwQPIZDLRbYgaKTh58iRq1qyp8V7JOoOQkBDExsZW6bklQyJpaWll7qWkpJQqo4t6RERERFQNHCkwiDZt2mDnzp0ICwtD8+bNy9y/du0atm3bho4dO4puQ1RSUKdOnUrLdO/eHd27d6/Sc319feHh4YG4uLgy9+Li4iCVStG0aVOd1SMiIiKiamBSYBCTJ0/G6dOnMWjQILRu3RpNmjSBs7MzcnNzER8fj2vXrsHJyQlTpkwR3YbO1hToSs+ePREVFYXk5GT1p/t5eXk4duwYOnXqBBcXF53WIyIiIiJxrHU6j6E1bdoUGzduxIcffogrV66UWVD8wgsvYMGCBWjcuLHoNiSCIJhUjpeUlITXXnsNdevWxfTp0yGVSrFhwwZcvXoVe/bsQZMmTRATE4MxY8bggw8+wNChQ7WuR0RERES6EzJ+hcHbvPzNLIO3aUru37+PO3fuIC8vDy4uLmjatCnq1atX7eea3EiBj48PduzYgWXLlmHWrFkQBAFBQUHYsmWLumMvCAKUSiVUKlWV6hERERGR7nCkwLDkcjnq1q2Lhg0bqq9lZGSgqKhI4y6cVWFyIwVEREREZB7a/MvwIwWXvrPOkYK9e/di2bJl2Lx5M5o1a6a+vmfPHixZsgRz5szBwIEDRT9fp1uSmqPY2FhMnDgRwcHBCAwMxKhRoxATE2PssKgKLly4gOHDhyMwMBChoaEYMWIEzp49a+ywSIRLly6hWbNmiIiIMHYoVEV5eXn49NNP0alTJ7Rq1Qp9+vTB7t27jR0WaUGlUmHv3r0YPHgwQkJCEBgYiIEDB2LPnj3GDo0qEBsbi/DwcPj7++Pu3bsa7xuifyMRDP+yRmfPnsW8efNgY2MDW1vbUvfq168PV1dXzJ07FxcuXBDdhlUnBQ8ePMDIkSORnp6O5cuX46uvvoKrqyvGjh2Lq1evGjs80sKpU6fwr3/9C66urli9ejWWLVsGBwcHTJw4EYcPHzZ2eFQFRUVFeP/998HBS/OjUqkQGRmJPXv2YPLkyfjmm2/QqlUrzJ8/H1FRUcYOjyqxfPlyzJ07F61atcLq1avx5Zdfws/PD/PmzcOGDRuMHR5psH37dgwZMgQ5OTka7xuyf8NzCgxjw4YNCAgIwPHjx+Hn51fqXtu2bXH48GEEBARg9erVotswuTUFhrR27VoolUqsX78enp6eAIDg4GCEhYVh5cqV2LRpk3EDpEqtXLkSDRs2xNq1a9WnV4eGhqJLly7YunUrevXqZeQISVtr165FVlYWXnjhBWOHQlV06NAhXLx4EZ9//rn6/1xoaCgSExPx22+/YcCAAUaOkCry/fffo3Xr1pg/f776WocOHXDlyhUcPHgQEyZMMGJ09KyYmBgsWbIEH3zwAR49eoQ1a9aUKWPQ/g0/xzGIGzdu4N1334Wrq6vG+05OThg8eDCWLl0qug2rTQoEQcCJEyfQvn179X8YALC3t0dYWBi2bt2KrKws1KhRw4hRUkUEQcDkyZPh6empTgiA4v8YDRo0wOPHj40YHVVFfHw8vvnmGyxYsAD79u0zdjhURfv27YOvry/Cw8NLXd+8ebORIqKqsLe3h7Ozc6lrEokErq6uHLkzQTKZDLt27Sr3U2FD928kKvP9N6JUKvH1118jKioKiYmJqFmzJnr37o2ZM2fC0dGx2nUTEhLQrVu3cp9x7NgxNGjQQKtYbWxsKo2puguNrTYpSExMRHZ2dpkhGADw8/ODSqVCfHw8QkJCjBAdaUMikaB3795lrsvlcvz1118aT/wj06NSqTB//ny0bt0agwYNYlJghq5evYqOHTtCIpEYOxQS4V//+hdWrFiBvXv3ok+fPhAEAfv370dsbCwWL15s7PDoGZUdxmro/o05z/FftGgRvv/+e0ybNg2hoaG4ffs2li5divv372PdunU6qztt2jR06dKlzDNq166tdaz+/v44evQo+vfvr/G+UqnEDz/8UK0dN602KUhNTQUAeHh4lLlXcq2kDJmX1atXIyMjAyNGjDB2KKSFnTt34saNG9i/f7+xQyERsrKykJWVBV9fX2zfvh1btmzB33//jVq1amHUqFF44403yiyKI9MyYcIEODs748MPP8TcuXMBFI+4LlmyBP369TNydFRVhu7fSJQ6e5RBPXz4EDt37sTYsWMxefJkAMVTrFQqFRYsWIDLly+XmzhVtW6dOnXQsmXLasX7+uuvY/bs2Rg3bhwGDBiA+vXrw8HBAZmZmYiLi8PevXsRHx+Pjz76SHQbVpsUFBUVAdA81FIyFaWgoMCgMVH17dq1C19//TUGDhyIsLAwY4dDlXj8+DE+++wzTJw4Ec8//7yxwyER8vLyAABHjx5FvXr1MGfOHNjb2+PgwYNYsmQJUlJS8M477xg5SqrI2bNnsWTJEvTq1Qv9+vWDXC7Hvn37MH/+fHh4eKBTp07GDpGqwOD9GzMdKTh58iQEQUDfvn1LXe/Tpw8WLlyIEydOlJsUVKeuWP3790d8fDy+++67cncYGj16NAYPHiy6DatNChwcHAAUTzV5Vsl/KCcnJ4PGRNWzZs0arF69Gn379q1WpkyGs2DBAtSqVQuTJk0ydigkUskogFwux/r169VzXtu1a4cnT55g8+bNGD9+fKm5zWQ6ioqKMHfuXLRu3RrLli1TX3/llVcwaNAgdQeHzIeh+zfmOn0oLi4OEokEjRs3LnXd3d0dtWrVwq1bt/RStzreeecdDBo0CAcPHkR8fDxyc3Ph6uqKxo0bo1evXqXOLhDDapMCb29vAEBaWlqZeykpKaXKkOn74IMPsGvXLowfPx5vv/025zabgaNHj+L06dNYv3495HK5+heYUlk8Fp2bmwupVFrthVOkXzKZDLa2tmjRokWZRXAdOnTAuXPncPv2bbRt29ZIEVJF7t+/j+TkZIwZM6bMvdDQUHz77bdITU1FzZo1DR8ciWLo/o25LjROTU2Fq6urxt8xHh4eGr9+Yuv+8ssv+O9//4u4uDioVCoEBwdj5syZonbba9y4MWbOnFnletqw2qTA19cXHh4eiIuLK3MvLi4OUqm00sU8ZBpWrlyJ3bt3Y+7cuRg9erSxwyEtnT59GoIgYOLEiRrvv/jii5g2bRqmT59u4MioKqRSKZo0aaLxF2hJgvf07mBkWkqmkSgUijL3ShL1kk+XyTwYvH9jYjmBXC7HgwcPKizj5uaGwsLCcj90kkqlyMzMLLd+VevevHkTEyZMQP369XHnzh2sXr0aEREROHDgAOrWrVvJO9KsoKAA33zzDQYOHIjnnntO1DOeZbVJAQD07NkTUVFRSE5OVmfNeXl5OHbsGDp16gQXFxcjR0iVOXHiBL766iu8/fbbTAjMTGRkpMa5j4sWLQIAzJs3T2c/6Ei/evfujS+++AK3b98utePJ2bNn4eTkVO0hbdKfJk2awNHREefPn0dkZGSpezExMfD29oavr6+RoiOxDNm/MbWRgqSkJI07Ez5twIABcHR01DjFCihOhCva/lPburVr10Z0dDRkMpn6w5HWrVujVatW6N+/P7744otS0/aqIj8/H19++SXatm3LpEAXpkyZgiNHjiAyMhLTp0+HVCrFhg0bkJ+fj1mzZhk7PKqEQqHAp59+irp166Jt27a4fv16mTL+/v6cfmKiGjZsiIYNG5a57ubmBgDcDtiMjBo1ClFRURg/fjxmz54NmUyG//3vf7h48SKmT59eZg98Mh3Ozs6YMGECVq9ejXfffVe9JWlUVBTi4uLwwQcfcDqmiUlISEB6ejoA4MmTJwCAO3fuqBf9+/v7G7R/Y2prCurWratxlORZc+fORXZ2NoqKisr0E1JTUyv8MMPLy0urura2thqnavn7+6N+/foa+y1VoetzRKw6KfDx8cGOHTuwbNkyzJo1C4IgICgoCFu2bKnWPq9kGI8fP8bDhw8BAEOGDNFY5uTJk6KH5ohIO66urti2bRuWL1+OBQsWICcnB40aNcKiRYvK/b9JpmPatGnw8fHB9u3bcfjwYUgkEvj5+WHlypWVfuJKhrdmzRpERUWVujZjxgz1n0t+7xmsf2NiSYG2mjdvDkEQcPv2bbRo0UJ9PSUlBSkpKaWuVaeupsQBKJ6C5O7urqN3oxsSgccVEhEREZEInfssNXibZ3+s/jbHSUlJ6Nq1K0aOHIk5c+aor2/cuBFLly7Fvn37yj0EVdu6a9aswZo1a3DgwIFSUyuvXbuGIUOGICIiAvPmzRMVf3p6Otq1a4etW7eiTZs2op7xLKseKSAiIiKiajDTj5Z9fHwwduxYbNy4ER4eHggNDcWNGzewatUqDBw4sFRC8MYbb+DevXs4d+5cleoOHDgQO3bswKRJkzB16lQ0aNAAt2/fxpdffgkvLy9MmDBB63gfPHiA+vXrq//u4OCAAQMGwMvLS0dfEY4UEBEREZFIXcKXGLzNM0fe1clzBEHAxo0b8f333yMxMRG1atVC//79MXny5FK7pkVERODPP//E+fPnq1z3r7/+wqpVq3D+/HlkZ2fDw8MDHTt2xIwZM6q0QLhZs2Z46aWX8Prrr6NHjx562dWNSQERERERifJKT8MnBaeP6iYpMCfDhg3D77//DolEAnd3d/Tv3x9Dhgwpc4BadTApICIiIiJRXgkzQlJwzPqSAgD4+++/ceDAAfz444+4ffs2JBIJgoKCMHToUISHh1e4jao2mBQQERERkShdu31q8DZPnZxt8DZNTVxcHA4cOIBDhw4hMTERbm5u6Nu3L4YMGVLuAunKMCkgIiIiIlG6df3E4G2ePPWewds0ZRcvXsTnn3+O33//HQAQHByMCRMmoHPnzlV6DncfIiIiIiJxTOxEY2uSlJSknk5069YtAEBQUBDu3r2LyMhI9O3bFx9//LHWi5KZFBARERGRKKZ2orGlU6lUOHXqFPbu3Yvo6GgoFArUqFEDERERGDZsGBo3boz8/HysWrUK3333HTw9PTF7tnbTrZgUEBHpwM2bNzFy5Eh0794dy5YtM3j7586dQ2RkJCZMmIA333zT4O0TkZXiLHSD+Ouvv7B3715ERUUhNTUVgiCgVatWGDZsGPr06QMHBwd1WScnJ7z77rtITU3F/v37mRQQERlKZmYmpkyZgrp162LRokVGiaFTp06YNm0avvjiCzRv3hzh4eFGiYOIrItEyaTAEHr27AmJRAInJycMGTIEw4cPr3RB8csvv4wDBw5o3QaTAiKiavr444/x6NEjrFixotSnNYY2adIkHDlyBB988AFCQ0Ph6elptFiIyEowJzAIf39/DBs2DK+99hpcXFy0qtO6dWssX75c6zZsxAZHRETAjRs3sH//fnTs2BEvvviiUWOxtbXFW2+9hYyMDHz11VdGjYWIrINEpTL4yxrt378fw4cP1zohAIC6deuiT58+WpdnUkBEVuny5cto3rw5hg8fjmd3Zt67dy/8/f3x7ruVH5CzdetWAMD48eNLXf/hhx/g7++PTZs24dKlS4iIiEBwcLB6DmhMTEyp8hEREfD390daWhqWLFmCl19+Ga1atULfvn1x8uRJAMCBAwfQr18/BAYGomvXrli0aBHkcnmp53Tq1Al16tTBnj17kJeXV+WvCxFRlaiM8CK9YFJARFYpJCQE48aNw6+//oodO3aor6ekpGDp0qWoU6cO3n///QqfIQgCzp07BxcXF7Rp00ZjmatXr2LGjBkIDQ3F+++/j2HDhuH69euYNGkSUlJSypRftGgR7t+/j5kzZ2LcuHHqP3/77bdYvXo1Bg4ciPfeew8ODg7YunUrNm/eXKq+RCJBx44dkZeXhzNnzlT9C0NEVAUSQTD4i/SDawqIyGrNmDED0dHRWLFiBbp16wZfX18sWrQI2dnZWLt2LVxdXSusHxsbi9TUVHTt2hV2dpp/nB45cgRRUVFo1qwZAKB///7IzMzEvn37cO7cOQwcOLBU+aysLHzzzTfqv6empmL37t1YvXo1jh8/Di8vLwD/P7/09OnTZUYpOnbsiN27d+Py5cvo3bt3lb8uRERas9LpPJaIIwVEZLXs7e2xbNkyyOVyfPjhhzh16hQOHz6MiRMnIiQkpNL69+7dAwA0atSo3DLt2rVTJwQlAgMDARQfPPOsIUOGlPp7ye4SXbt2VScEABAQEAAASE5OLvOM559/HgCQkJBQ6XsgIqoWTh+yGBwpICKr5ufnh7feeguLFy/GxYsX0aJFC0ybNk2ruunp6QCAmjVrllumYcOGZa45OjoCABQKRZl7derUKfX3kt2Myruu6Rkluw6lpaWVGxcRkS5Y68JfS8SRAiKyev3794eDgwPy8vIwYMAArY+Ez8rKAgC4ubmVW6aqW5Ta29trvK5tTE/Hk52dXaW2iYiqTBAM/yK9YFJARFZv4cKFUCgUaNy4MVatWoVHjx5pVa9GjRoATK/zXRJPRckKEZFOKAXDv0gvmBQQkVU7dOgQDh48iHHjxmH16tUoKCjAO++8A5UWQ+IeHh4AihcDm5KSeHh4GRHpG3cfshxMCojIaiUlJWHBggVo3Lgxpk+fjsaNG2PatGmIiYnBxo0bK61fssC4ZMGxqSiJp27dukaOhIgsHqcPWQwmBURklQRBwJw5c5CVlYXFixer5/KPGzcOLVq0wBdffIFbt25V+IxmzZqhZs2auHjxosYFv8YSHR0NAFrtoEREVC1KleFfpBdMCojIKu3YsQPR0dEYM2YMgoKC1Nft7OywePFiAMDbb7+NwsLCcp8hkUjQqVMn5Obm4tKlS/oOWSuCICA6OhrOzs7o0qWLscMhIkvHkQKLIREEfnWJiMS6ceMGBg4ciI4dO2o15Ujfzp49i4kTJ2LMmDF47733jB0OEVm4Xs+/bfA2D/+53OBtWgOOFBARVUOLFi3Qr18/REdH49dffzVqLEqlEitWrIBMJkNkZKRRYyEiKyGoDP8ivWBSQERUTXPmzEHt2rXxwQcfVDjdSN/Wr1+P2NhYLFiwQL0zEhGRXnH6kMVgUkBEVE0ymQxr165FQkIC5s2bZ5QYfvrpJ6xZswaRkZEIDw83SgxEZIW40NhicE0BEREREYnSq+4Mg7d5OGGVwdu0BnbGDoCIiIiIzJRSaewISEeYFBARERGROJxwYjGYFBARERGROEwKLAaTAiIiIiISReD0IYvBpICIiIiIxFFxpMBSMCkgIiIiInE4UmAxmBQQERERkThcU2AxeHgZEREREYkiqFQGf+mKUqnEunXrEBYWhhdeeAGdO3fGkiVLUFBQoFV9hUKBFStWoFmzZnjzzTf10oYhcaSAiIiIiMQx4xOGFy1ahO+//x7Tpk1DaGgobt++jaVLl+L+/ftYt25dhXUfPXqEWbNm4eHDh6joHODqtGFoTAqIiIiISBzBPJOChw8fYufOnRg7diwmT54MAAgODoZKpcKCBQtw+fJlhISElFv/nXfega2tLaKiotCxY0e9tGFonD5ERERERKIISqXBX7pw8uRJCIKAvn37lrrep08fSCQSnDhxosL6Q4cOxaZNm+Dt7a23NgyNIwVEREREJIpgpluSxsXFQSKRoHHjxqWuu7u7o1atWrh161aF9V999VW9t2FoTAqIiIiISJTjyt3GDkGU1NRUuLq6wt7evsw9Dw8PpKWlmUUbusSkgIiIiIgsglwux4MHDyos4+bmhsLCQo2ddQCQSqXIzMysdiyGaEOXmBQQERERkUVISkpC7969KywzYMAAODo6Qi6Xa7xfVFQER0fHasdiiDZ0iUkBEREREVmEunXrIi4urtJyc+fORXZ2NoqKisp8mp+amopmzZpVOxYvLy+9t6FL3H2IiIiIiKxK8+bNIQgCbt++Xep6SkoKUlJS0KJFC7NoQ5eYFBARERGRVenRowfs7Oywf//+UtdL/t6rVy+zaEOXOH2IiIiIiKyKj48Pxo4di40bN8LDwwOhoaG4ceMGVq1ahYEDB6J58+bqsm+88Qbu3buHc+fOASheD/DsFKWsrCxcv34dQPHOQnXr1q1SG6ZAIlR0NjMRERERkQUSBAEbN27E999/j8TERNSqVQv9+/fH5MmTIZVK1eUiIiLw559/4vz58wCAhIQEdOvWrdznDhgwAJ9++mmV2jAFTAqIiIiIiKwc1xQQEREREVk5JgVERERERFaOSQERERERkZVjUkBEREREZOWYFBARERERWTkmBUREREREVo5JARERERGRlWNSQERERERk5ZgUEBERERFZOSYFRERERERWjkkBEREREZGVY1JARERERGTl/g/0HUHfiYJrtQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 800x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "md.drive(system)\n",
    "system.m.sel('y').mpl()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see that in the relaxed state, all magnetic moments are aligned with the aniostropy axis. The initial configuration affects which orientation along the anisotropy direction is chosen. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exchange energy\n",
    "\n",
    "The Zeeman and uniaxial anisotropy are *local* energy terms; they only depend on the magnetisation at a given location. In contrast, the exchange energy represents a short range interaction and tends to align all spins parallel to each other without a preferential direction. \n",
    "\n",
    "The exchange energy density is $w_\\text{ex} = A[(\\nabla m_{x})^{2} + (\\nabla m_{y})^{2} + (\\nabla m_{z})^{2}]$, where $A$ is the exchange energy constant. To demonstrate how it affects the magnetisation configuration, we will use $A = 8 \\,\\text{pJ}\\,\\text{m}^{-1}$ on a non-uniform magnetisation configuration."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "tags": [
     "nbval-ignore-output"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 800x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "system = mm.System(name='exchange')\n",
    "system.energy = mm.Exchange(A=8e-12)\n",
    "\n",
    "def m_initial(pos):\n",
    "    x, y, z = pos\n",
    "    if x <= 5e-9:\n",
    "        return (0, 0, 1)\n",
    "    else:\n",
    "        return (1, 0, 0)\n",
    "    \n",
    "system.m = df.Field(mesh, nvdim=3, value=m_initial, norm=Ms)\n",
    "\n",
    "system.m.sel('y').mpl()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "tags": [
     "nbval-ignore-output"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:52]... (0.2 s)\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 800x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "md.drive(system)\n",
    "system.m.sel('y').mpl()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Dzyaloshinskii-Moriya energy\n",
    "\n",
    "While the exchange interaction aims to align (neighbouring) magnetic moments parallel to each other, the Dzyaloshinskii-Moriya (DM) energy wants to align them perpendicular to each other.\n",
    "\n",
    "The (interfacial) DMI energy density is $w_\\text{dmi} = D[m_{z}\\nabla\\cdot\\mathbf{m} - (\\mathbf{m}\\cdot\\nabla)m_{z}]$ (crystallographic class $C_\\text{nv}$), with $D$ being the DM constant. Again, we demonstrate its effect by starting from a uniform configuration, with $D = 3\\times10^{3} \\,\\text{J}\\,\\text{m}^{-2}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "tags": [
     "nbval-ignore-output"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:52]... (0.2 s)\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 800x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "system = mm.System(name='dmi')\n",
    "system.energy = mm.DMI(crystalclass='Cnv_z', D=3e-3)\n",
    "system.m = df.Field(mesh, nvdim=3, value=(0, 0, 1), norm=Ms)\n",
    "\n",
    "md.drive(system)\n",
    "\n",
    "system.m.sel('y').mpl()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Ubermag supports crystalographic classes: `T`, `O`, `Cnv`, or `D2d`."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exchange and Zeeman energies\n",
    "\n",
    "So far, we investigated the effect of individual energy terms in the Hamiltonian. Now, we look at how multiple energies in the Hamiltoninan contribute to the final magnetisation configuration. We start with the simplest example where only exchange and Zeeman energies are present. As we showed before, exchange energy wants to align all magnetic moments parallel to each other without a preferential direction, while Zeeman energy wants them to be parallel to the external magnetic field. Therefore, we can expect that the minimum energy configuration is going to be the uniform state in the direction of an applied field $\\mathbf{H}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 800x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "system = mm.System(name='exchange_and_zeeman')\n",
    "\n",
    "# We can add multiple interactions using the 'plus' operator\n",
    "system.energy = mm.Exchange(A=8e-12) + mm.Zeeman(H=(0, 0, -1e6))\n",
    "\n",
    "def m_initial(pos):\n",
    "    x, y, z = pos\n",
    "    if x <= 5e-9:\n",
    "        return (0, 0, 1)\n",
    "    else:\n",
    "        return (1, 0, 0)\n",
    "    \n",
    "system.m = df.Field(mesh, nvdim=3, value=m_initial, norm=Ms)\n",
    "\n",
    "system.m.sel('y').mpl()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:52]... (0.2 s)\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 800x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "md.drive(system)\n",
    "system.m.sel('y').mpl()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Both energies are minimal in the above relaxed state: the magnetisation is uniform (minimising the exchange energy) and is aligned with the external field (minimising the Zeeman energy)."
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Competition of DMI and exchange\n",
    "\n",
    "Here, we study the competition of the exchange and (interfacial) DMI energy.\n",
    "\n",
    "We relax a one-dimensional chain of magnetic moments of length $L = 20 \\,\\text{nm}$ with discretisation cell size of $(d, d, d)$, with $d = 1 \\,\\text{nm}$. The Hamiltonian should consist of:\n",
    "\n",
    "- exchange energy with $A=1 \\times 10^{-11} \\,\\text{J}\\,\\text{m}^{-1}$, and\n",
    "- Dzyaloshinskii-Moriya energy with $D = 4\\pi A/L \\approx 6.28 \\times 10^{-3} \\,\\text{J}\\,\\text{m}^{-2}$.\n",
    "\n",
    "The magnetisation saturation is $M_\\mathrm{s} = 8 \\times 10^{6} \\,\\text{A}\\,\\text{m}^{-1}$.\n",
    "Initialise the system with any uniform state. \n",
    "\n",
    "Questions:\n",
    "\n",
    "- What is the relaxed state? \n",
    "- Double the value of DMI constant to be $D = 12.56 \\times 10^{3} \\,\\text{J}\\,\\text{m}^{-2}$. What has changed?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "tags": [
     "nbval-ignore-output"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 800x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "system = mm.System(name='exchange_and_DMI')\n",
    "\n",
    "A = 1e-11  # exchange energy constant (J/m)\n",
    "D = 6.28e-3  # DMI energy constant (J/m**2)\n",
    "Ms = 8e6 # Saturation magnetisation (A/m)\n",
    "\n",
    "region = df.Region(p1=(0, 0, 0), p2=(20e-9, 1e-9, 1e-9))\n",
    "mesh = df.Mesh(region=region, cell=(1e-9, 1e-9, 1e-9))\n",
    "m_initial = (0, 1, 1)    # uniform initial magnetisation\n",
    "system.m = df.Field(mesh, nvdim=3, value=m_initial, norm=Ms)\n",
    "system.m.sel('y').mpl()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "tags": [
     "nbval-ignore-output"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:52]... (0.3 s)\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 800x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "system.energy = mm.Exchange(A=A) + mm.DMI(D=D, crystalclass='Cnv_z')\n",
    "\n",
    "md = oc.MinDriver()  # create energy minimisation driver\n",
    "md.drive(system)\n",
    "\n",
    "system.m.sel('y').mpl()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also sample the magnetisation along the sample."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "line = system.m.line(p1=system.m.mesh.region.pmin, p2=system.m.mesh.region.pmax, n=19)\n",
    "line.mpl(marker='o')"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can have a look at `D` parameter from the DMI energy."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.00628"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "system.energy.dmi.D"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can now double the strength of `D` to see how the system will change."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "tags": [
     "nbval-ignore-output"
    ]
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:52]... (0.2 s)\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 800x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "system.energy.dmi.D = 2 * D\n",
    "md.drive(system)\n",
    "system.m.sel('y').mpl()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "line = system.m.line(p1=system.m.mesh.region.pmin, p2=system.m.mesh.region.pmax, n=19)\n",
    "line.mpl(marker='o')"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can now see that the period has decreased."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Skyrmion in a disk\n",
    "\n",
    "We can assemble the appropriate energy equation in order to obtain a skyrmion state in a disk with $100 \\,\\text{nm}$ diameter and $5 \\,\\text{nm}$ thickness. In addition, we choose the appropriate initial magnetisation state."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:52]... (0.3 s)\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 800x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "d = 100e-9\n",
    "thickness = 5e-9\n",
    "cell = (5e-9,5e-9, 5e-9)\n",
    "\n",
    "p1 = (-d/2, -d/2, 0)\n",
    "p2 = (d/2, d/2, thickness)\n",
    "region = df.Region(p1=p1, p2=p2)\n",
    "mesh = df.Mesh(region=region, cell=cell)\n",
    "system = mm.System(name='skyrmion')\n",
    "system.energy = mm.Exchange(A=8.78e-12) + mm.DMI(D=1.58e-3, crystalclass='T') + mm.Demag()\n",
    "\n",
    "def m_initial(point):\n",
    "    x, y, z = point\n",
    "    if x**2 + y**2 < (d/4)**2:\n",
    "        return (0, 0, -1)\n",
    "    else:\n",
    "        return (0, 0, 1)\n",
    "    \n",
    "def Ms_fun(point):\n",
    "    x, y, z = point\n",
    "    if x**2 + y**2 < (d/2)**2:\n",
    "        return 3.84e5\n",
    "    else:\n",
    "        return 0\n",
    "    \n",
    "system.m = df.Field(mesh, nvdim=3, value=m_initial, norm=Ms_fun, valid=\"norm\")\n",
    "\n",
    "md.drive(system)\n",
    "\n",
    "system.m.sel('z').mpl()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.12"
  },
  "vscode": {
   "interpreter": {
    "hash": "3ca9094a041cc4b421461943860d4006a32a83ae6de9d82790d0cc597a0ee9b5"
   }
  },
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "state": {
     "006ec2cb7b2b4c75973f8fc24a3ffbdd": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_0e345c3834b34fc8a4e5c9541a72fd6c",
       "outputs": [
        {
         "data": {
          "application/vnd.jupyter.widget-view+json": {
           "model_id": "e771a32580db4177b6b49bad6a6a4e24",
           "version_major": 2,
           "version_minor": 0
          },
          "text/plain": "Plot(antialias=3, axes=['x', 'y', 'z'], axes_helper=1.0, background_color=16777215, camera_animation=[], camer…"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "085b9b5aed0540a8b3c1cd66b8fcc0fc": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "0df7b7d75a5349abadd17d0a2aada7d0": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_3a697129d3a34b06805ac9ee5b70cec4",
       "outputs": [
        {
         "data": {
          "application/vnd.jupyter.widget-view+json": {
           "model_id": "2af163feca0a405693dbec7cac1a528e",
           "version_major": 2,
           "version_minor": 0
          },
          "text/plain": "Plot(antialias=3, axes=['x', 'y', 'z'], axes_helper=1.0, background_color=16777215, camera_animation=[], camer…"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "0e345c3834b34fc8a4e5c9541a72fd6c": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "0ee1eb3657bc4af997dc89110070f5bd": {
      "model_module": "k3d",
      "model_module_version": "2.11.0",
      "model_name": "PlotModel",
      "state": {
       "_backend_version": "2.11.0",
       "_dom_classes": [],
       "_view_count": null,
       "antialias": 3,
       "auto_rendering": true,
       "axes": [
        "x\\,\\text{(nm)}",
        "y\\,\\text{(nm)}",
        "z\\,\\text{(nm)}"
       ],
       "axes_helper": 1,
       "background_color": 16777215,
       "camera": [
        13.45843140674004,
        -12.262647101448758,
        1.3508431400965981,
        4.9500000057742,
        0.5,
        0.5,
        0,
        0,
        1
       ],
       "camera_animation": [],
       "camera_auto_fit": true,
       "camera_damping_factor": 0,
       "camera_fov": 60,
       "camera_mode": "trackball",
       "camera_no_pan": false,
       "camera_no_rotate": false,
       "camera_no_zoom": false,
       "camera_pan_speed": 0.3,
       "camera_rotate_speed": 1,
       "camera_zoom_speed": 1.2,
       "clipping_planes": [],
       "colorbar_object_id": -1,
       "colorbar_scientific": false,
       "fps": 25,
       "fps_meter": false,
       "grid": [
        -1,
        -1,
        -1,
        1,
        1,
        1
       ],
       "grid_auto_fit": true,
       "grid_color": 15132390,
       "grid_visible": true,
       "height": 512,
       "label_color": 4473924,
       "layout": "IPY_MODEL_23ac2d04b4e34221ba678a0cddf57655",
       "lighting": 1.5,
       "manipulate_mode": "translate",
       "menu_visibility": true,
       "mode": "view",
       "name": null,
       "object_ids": [
        140592440005296
       ],
       "rendering_steps": 1,
       "screenshot": "",
       "screenshot_scale": 2,
       "snapshot": "",
       "snapshot_type": "full",
       "time": 0,
       "voxel_paint_color": 0
      }
     },
     "0ff915f13f1442f98cb0bd4384e8cd8c": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_b663ebfde63a43de85cc6d7906a739cd",
       "outputs": [
        {
         "data": {
          "application/vnd.jupyter.widget-view+json": {
           "model_id": "ca8cd3d5f9494589bd52a75efc117c94",
           "version_major": 2,
           "version_minor": 0
          },
          "text/plain": "Plot(antialias=3, axes=['x', 'y', 'z'], axes_helper=1.0, background_color=16777215, camera_animation=[], camer…"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "21fa25d284504bbfa4836d75254f3e73": {
      "buffers": [
       {
        "data": "",
        "encoding": "base64",
        "path": [
         "attribute",
         "data"
        ]
       },
       {
        "data": "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",
        "encoding": "base64",
        "path": [
         "color_map",
         "data"
        ]
       },
       {
        "data": "",
        "encoding": "base64",
        "path": [
         "colors",
         "data"
        ]
       },
       {
        "data": "AACAPwAAAAAAAAAAAAAAAAAAAAAAAIA/AAAAAAAAAAAAAAAAAAAAAAAAgD8AAAAAAAAAAAAAAAAAAAAAAACAPw==",
        "encoding": "base64",
        "path": [
         "model_matrix",
         "data"
        ]
       },
       {
        "data": "",
        "encoding": "base64",
        "path": [
         "opacities",
         "data"
        ]
       },
       {
        "data": "",
        "encoding": "base64",
        "path": [
         "opacity_function",
         "data"
        ]
       },
       {
        "data": "",
        "encoding": "base64",
        "path": [
         "point_sizes",
         "data"
        ]
       },
       {
        "data": "AAAAPwAAAD8AAAA/AADAPwAAAD8AAAA/AAAgQAAAAD8AAAA/AABgQAAAAD8AAAA/AACQQAAAAD8AAAA/AACwQAAAAD8AAAA/AADQQAAAAD8AAAA/AADwQAAAAD8AAAA/AAAIQQAAAD8AAAA/AAAYQQAAAD8AAAA/AAAoQQAAAD8AAAA/AAA4QQAAAD8AAAA/AABIQQAAAD8AAAA/AABYQQAAAD8AAAA/AABoQQAAAD8AAAA/AAB4QQAAAD8AAAA/AACEQQAAAD8AAAA/AACMQQAAAD8AAAA/AACUQQAAAD8AAAA/AACcQQAAAD8AAAA/",
        "encoding": "base64",
        "path": [
         "positions",
         "data"
        ]
       }
      ],
      "model_module": "k3d",
      "model_module_version": "2.11.0",
      "model_name": "ObjectModel",
      "state": {
       "_view_count": null,
       "_view_module": null,
       "_view_module_version": "",
       "_view_name": null,
       "attribute": {
        "dtype": "float32",
        "shape": [
         0
        ]
       },
       "color": 5010096,
       "colorLegend": false,
       "color_map": {
        "dtype": "float32",
        "shape": [
         1024
        ]
       },
       "color_range": [],
       "colors": {
        "dtype": "uint32",
        "shape": [
         0
        ]
       },
       "compression_level": 0,
       "id": 140593353840000,
       "mesh_detail": 2,
       "model_matrix": {
        "dtype": "float32",
        "shape": [
         4,
         4
        ]
       },
       "name": "Points #1",
       "opacities": {
        "dtype": "float32",
        "shape": [
         0
        ]
       },
       "opacity": 1,
       "opacity_function": {
        "dtype": "float32",
        "shape": [
         0
        ]
       },
       "point_size": 0.25,
       "point_sizes": {
        "dtype": "float32",
        "shape": [
         0
        ]
       },
       "positions": {
        "dtype": "float32",
        "shape": [
         20,
         3
        ]
       },
       "shader": "3dSpecular",
       "type": "Points",
       "visible": true
      }
     },
     "23ac2d04b4e34221ba678a0cddf57655": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "277006dc72694573bcadc2d203b88520": {
      "buffers": [
       {
        "data": "UoTdAFKE3QBShN0AUoTdAFKE3QBShN0AUoTdAFKE3QBShN0AUoTdAFKE3QBShN0AUoTdAFKE3QBShN0AUoTdAFKE3QBShN0AUoTdAFKE3QA=",
        "encoding": "base64",
        "path": [
         "colors",
         "data"
        ]
       },
       {
        "data": "AACAPwAAAAAAAAAAAAAAAAAAAAAAAIA/AAAAAAAAAAAAAAAAAAAAAAAAgD8AAAAAAAAAAAAAAAAAAAAAAACAPw==",
        "encoding": "base64",
        "path": [
         "model_matrix",
         "data"
        ]
       },
       {
        "data": "AAAANAAAAD8AAAAAAQCAPwAAAD8AAAAAAAAAQAAAAD8AAAAAAABAQAAAAD8AAAAzAACAQAAAAD8AAIAzAACgQAAAAD8AAMAzAADAQAAAAD8AAMAzAADgQAAAAD8AAAA0AAAAQQAAAD8AACA0AAAQQQAAAD8AAAA0",
        "encoding": "base64",
        "path": [
         "origins",
         "data"
        ]
       },
       {
        "data": "/P9/PwAAAAAAAIA/+/9/PwAAAAAAAIA//P9/PwAAAAAAAIA//f9/PwAAAAD//38//f9/PwAAAAD+/38//v9/PwAAAAD9/38///9/PwAAAAD9/38/AACAPwAAAAD8/38/AACAPwAAAAD7/38/AACAPwAAAAD8/38/",
        "encoding": "base64",
        "path": [
         "vectors",
         "data"
        ]
       }
      ],
      "model_module": "k3d",
      "model_module_version": "2.11.0",
      "model_name": "ObjectModel",
      "state": {
       "_view_count": null,
       "_view_module": null,
       "_view_module_version": "",
       "_view_name": null,
       "colorLegend": false,
       "colors": {
        "dtype": "uint32",
        "shape": [
         10,
         2
        ]
       },
       "compression_level": 0,
       "head_color": 255,
       "head_size": 3,
       "id": 140593350648256,
       "label_size": 1,
       "labels": [],
       "line_width": 0.01,
       "model_matrix": {
        "dtype": "float32",
        "shape": [
         4,
         4
        ]
       },
       "name": "Vectors #1",
       "origin_color": 255,
       "origins": {
        "dtype": "float32",
        "shape": [
         10,
         3
        ]
       },
       "type": "Vectors",
       "use_head": true,
       "vectors": {
        "dtype": "float32",
        "shape": [
         10,
         3
        ]
       },
       "visible": true
      }
     },
     "27ecf52f35554cf3b275b4417b66588c": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "2a74d87521624c178fbb438bf7ecb15d": {
      "model_module": "k3d",
      "model_module_version": "2.11.0",
      "model_name": "PlotModel",
      "state": {
       "_backend_version": "2.11.0",
       "_dom_classes": [],
       "_view_count": null,
       "antialias": 3,
       "auto_rendering": true,
       "axes": [
        "x\\,\\text{ (nm)}",
        "y\\,\\text{ (nm)}",
        "z\\,\\text{ (nm)}"
       ],
       "axes_helper": 1,
       "background_color": 16777215,
       "camera": [
        26.015022451936375,
        -23.522533677904566,
        2.1015022600948248,
        10,
        0.5,
        0.5000000149011612,
        0,
        0,
        1
       ],
       "camera_animation": [],
       "camera_auto_fit": true,
       "camera_damping_factor": 0,
       "camera_fov": 60,
       "camera_mode": "trackball",
       "camera_no_pan": false,
       "camera_no_rotate": false,
       "camera_no_zoom": false,
       "camera_pan_speed": 0.3,
       "camera_rotate_speed": 1,
       "camera_zoom_speed": 1.2,
       "clipping_planes": [],
       "colorbar_object_id": -1,
       "colorbar_scientific": false,
       "fps": 25,
       "fps_meter": false,
       "grid": [
        -1,
        -1,
        -1,
        1,
        1,
        1
       ],
       "grid_auto_fit": true,
       "grid_color": 15132390,
       "grid_visible": true,
       "height": 512,
       "label_color": 4473924,
       "layout": "IPY_MODEL_98325188ecb64bd592837d3b2c462dd1",
       "lighting": 1.5,
       "manipulate_mode": "translate",
       "menu_visibility": true,
       "mode": "view",
       "name": null,
       "object_ids": [
        140592440005584,
        140593357728016
       ],
       "rendering_steps": 1,
       "screenshot": "",
       "screenshot_scale": 2,
       "snapshot": "",
       "snapshot_type": "full",
       "time": 0,
       "voxel_paint_color": 0
      }
     },
     "2af163feca0a405693dbec7cac1a528e": {
      "model_module": "k3d",
      "model_module_version": "2.11.0",
      "model_name": "PlotModel",
      "state": {
       "_backend_version": "2.11.0",
       "_dom_classes": [],
       "_view_count": null,
       "antialias": 3,
       "auto_rendering": true,
       "axes": [
        "x\\,\\text{ (nm)}",
        "y\\,\\text{ (nm)}",
        "z\\,\\text{ (nm)}"
       ],
       "axes_helper": 1,
       "background_color": 16777215,
       "camera": [
        13.351749827498345,
        -12.02762470286606,
        1.3351749801910928,
        5.000000025587639,
        0.5,
        0.5,
        0,
        0,
        1
       ],
       "camera_animation": [],
       "camera_auto_fit": true,
       "camera_damping_factor": 0,
       "camera_fov": 60,
       "camera_mode": "trackball",
       "camera_no_pan": false,
       "camera_no_rotate": false,
       "camera_no_zoom": false,
       "camera_pan_speed": 0.3,
       "camera_rotate_speed": 1,
       "camera_zoom_speed": 1.2,
       "clipping_planes": [],
       "colorbar_object_id": -1,
       "colorbar_scientific": false,
       "fps": 25,
       "fps_meter": false,
       "grid": [
        -1,
        -1,
        -1,
        1,
        1,
        1
       ],
       "grid_auto_fit": true,
       "grid_color": 15132390,
       "grid_visible": true,
       "height": 512,
       "label_color": 4473924,
       "layout": "IPY_MODEL_bda32c84bd7345998953da1694c9ba7b",
       "lighting": 1.5,
       "manipulate_mode": "translate",
       "menu_visibility": true,
       "mode": "view",
       "name": null,
       "object_ids": [
        140593359330848,
        140593359405264
       ],
       "rendering_steps": 1,
       "screenshot": "",
       "screenshot_scale": 2,
       "snapshot": "",
       "snapshot_type": "full",
       "time": 0,
       "voxel_paint_color": 0
      }
     },
     "2b2d2880108246bc87f2fec8c3f6b27e": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "3a697129d3a34b06805ac9ee5b70cec4": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "57ff1859f91c4bacaeb1c39e85c26bd3": {
      "buffers": [
       {
        "data": "sHJMAFKE3QA=",
        "encoding": "base64",
        "path": [
         "color_map",
         "data"
        ]
       },
       {
        "data": "AAAgQQAAAAAAAAAAAACgQAAAAAAAAIA/AAAAAAAAAD8AAAAAAAAAAAAAgD8AAAA/AAAAAAAAAAAAAAAAAACAPw==",
        "encoding": "base64",
        "path": [
         "model_matrix",
         "data"
        ]
       },
       {
        "data": "AQEBAQEBAQEBAg==",
        "encoding": "base64",
        "path": [
         "voxels",
         "data"
        ]
       }
      ],
      "model_module": "k3d",
      "model_module_version": "2.11.0",
      "model_name": "ObjectModel",
      "state": {
       "_view_count": null,
       "_view_module": null,
       "_view_module_version": "",
       "_view_name": null,
       "colorLegend": false,
       "color_map": {
        "dtype": "uint32",
        "shape": [
         2
        ]
       },
       "compression_level": 0,
       "id": 140592440005296,
       "model_matrix": {
        "dtype": "float32",
        "shape": [
         4,
         4
        ]
       },
       "name": "Voxels #1",
       "opacity": 1,
       "outlines": false,
       "outlines_color": 0,
       "type": "Voxels",
       "visible": true,
       "voxels": {
        "dtype": "uint8",
        "shape": [
         1,
         1,
         10
        ]
       },
       "wireframe": false
      }
     },
     "5aacfa0c716c47c99095ab3c29b71ee4": {
      "buffers": [
       {
        "data": "",
        "encoding": "base64",
        "path": [
         "attribute",
         "data"
        ]
       },
       {
        "data": "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",
        "encoding": "base64",
        "path": [
         "color_map",
         "data"
        ]
       },
       {
        "data": "",
        "encoding": "base64",
        "path": [
         "colors",
         "data"
        ]
       },
       {
        "data": "AACAPwAAAAAAAAAAAAAAAAAAAAAAAIA/AAAAAAAAAAAAAAAAAAAAAAAAgD8AAAAAAAAAAAAAAAAAAAAAAACAPw==",
        "encoding": "base64",
        "path": [
         "model_matrix",
         "data"
        ]
       },
       {
        "data": "",
        "encoding": "base64",
        "path": [
         "opacities",
         "data"
        ]
       },
       {
        "data": "",
        "encoding": "base64",
        "path": [
         "opacity_function",
         "data"
        ]
       },
       {
        "data": "",
        "encoding": "base64",
        "path": [
         "point_sizes",
         "data"
        ]
       },
       {
        "data": "AAAAPwAAAD8AAAA/AADAPwAAAD8AAAA/AAAgQAAAAD8AAAA/AABgQAAAAD8AAAA/AACQQAAAAD8AAAA/AACwQAAAAD8AAAA/AADQQAAAAD8AAAA/AADwQAAAAD8AAAA/AAAIQQAAAD8AAAA/AAAYQQAAAD8AAAA/AAAoQQAAAD8AAAA/AAA4QQAAAD8AAAA/AABIQQAAAD8AAAA/AABYQQAAAD8AAAA/AABoQQAAAD8AAAA/AAB4QQAAAD8AAAA/AACEQQAAAD8AAAA/AACMQQAAAD8AAAA/AACUQQAAAD8AAAA/AACcQQAAAD8AAAA/",
        "encoding": "base64",
        "path": [
         "positions",
         "data"
        ]
       }
      ],
      "model_module": "k3d",
      "model_module_version": "2.11.0",
      "model_name": "ObjectModel",
      "state": {
       "_view_count": null,
       "_view_module": null,
       "_view_module_version": "",
       "_view_name": null,
       "attribute": {
        "dtype": "float32",
        "shape": [
         0
        ]
       },
       "color": 5010096,
       "colorLegend": false,
       "color_map": {
        "dtype": "float32",
        "shape": [
         1024
        ]
       },
       "color_range": [],
       "colors": {
        "dtype": "uint32",
        "shape": [
         0
        ]
       },
       "compression_level": 0,
       "id": 140593357728016,
       "mesh_detail": 2,
       "model_matrix": {
        "dtype": "float32",
        "shape": [
         4,
         4
        ]
       },
       "name": "Points #1",
       "opacities": {
        "dtype": "float32",
        "shape": [
         0
        ]
       },
       "opacity": 1,
       "opacity_function": {
        "dtype": "float32",
        "shape": [
         0
        ]
       },
       "point_size": 0.25,
       "point_sizes": {
        "dtype": "float32",
        "shape": [
         0
        ]
       },
       "positions": {
        "dtype": "float32",
        "shape": [
         20,
         3
        ]
       },
       "shader": "3dSpecular",
       "type": "Points",
       "visible": true
      }
     },
     "5c89bb4ba20a4d8486ddc65f1e1e948c": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_085b9b5aed0540a8b3c1cd66b8fcc0fc",
       "outputs": [
        {
         "data": {
          "application/vnd.jupyter.widget-view+json": {
           "model_id": "2a74d87521624c178fbb438bf7ecb15d",
           "version_major": 2,
           "version_minor": 0
          },
          "text/plain": "Plot(antialias=3, axes=['x', 'y', 'z'], axes_helper=1.0, background_color=16777215, camera_animation=[], camer…"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "60eaccc10deb4e07bc7bba1b384e2595": {
      "buffers": [
       {
        "data": "",
        "encoding": "base64",
        "path": [
         "attribute",
         "data"
        ]
       },
       {
        "data": "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",
        "encoding": "base64",
        "path": [
         "color_map",
         "data"
        ]
       },
       {
        "data": "",
        "encoding": "base64",
        "path": [
         "colors",
         "data"
        ]
       },
       {
        "data": "AACAPwAAAAAAAAAAAAAAAAAAAAAAAIA/AAAAAAAAAAAAAAAAAAAAAAAAgD8AAAAAAAAAAAAAAAAAAAAAAACAPw==",
        "encoding": "base64",
        "path": [
         "model_matrix",
         "data"
        ]
       },
       {
        "data": "",
        "encoding": "base64",
        "path": [
         "opacities",
         "data"
        ]
       },
       {
        "data": "",
        "encoding": "base64",
        "path": [
         "opacity_function",
         "data"
        ]
       },
       {
        "data": "",
        "encoding": "base64",
        "path": [
         "point_sizes",
         "data"
        ]
       },
       {
        "data": "AAAAPwAAAD8AAAA/AADAPwAAAD8AAAA/AAAgQAAAAD8AAAA/AABgQAAAAD8AAAA/AACQQAAAAD8AAAA/AACwQAAAAD8AAAA/AADQQAAAAD8AAAA/AADwQAAAAD8AAAA/AAAIQQAAAD8AAAA/AAAYQQAAAD8AAAA/",
        "encoding": "base64",
        "path": [
         "positions",
         "data"
        ]
       }
      ],
      "model_module": "k3d",
      "model_module_version": "2.11.0",
      "model_name": "ObjectModel",
      "state": {
       "_view_count": null,
       "_view_module": null,
       "_view_module_version": "",
       "_view_name": null,
       "attribute": {
        "dtype": "float32",
        "shape": [
         0
        ]
       },
       "color": 5010096,
       "colorLegend": false,
       "color_map": {
        "dtype": "float32",
        "shape": [
         1024
        ]
       },
       "color_range": [],
       "colors": {
        "dtype": "uint32",
        "shape": [
         0
        ]
       },
       "compression_level": 0,
       "id": 140593359405264,
       "mesh_detail": 2,
       "model_matrix": {
        "dtype": "float32",
        "shape": [
         4,
         4
        ]
       },
       "name": "Points #1",
       "opacities": {
        "dtype": "float32",
        "shape": [
         0
        ]
       },
       "opacity": 1,
       "opacity_function": {
        "dtype": "float32",
        "shape": [
         0
        ]
       },
       "point_size": 0.25,
       "point_sizes": {
        "dtype": "float32",
        "shape": [
         0
        ]
       },
       "positions": {
        "dtype": "float32",
        "shape": [
         10,
         3
        ]
       },
       "shader": "3dSpecular",
       "type": "Points",
       "visible": true
      }
     },
     "6f4d0484274d4ee9bc6fcb6d46082854": {
      "buffers": [
       {
        "data": "TiIAAE4iAABoLQAAaC0AAG4/KQBuPykAbFZOAGxWTgBzcXAAc3FwAHiOkwB4jpMAbau5AG2ruQBax9sAWsfbAELb8wBC2/MAOOj+ADjo/gA46P4AOOj+AELb8wBC2/MAWsfbAFrH2wBtq7kAbau5AHiOkwB4jpMAc3FwAHNxcABsVk4AbFZOAG4/KQBuPykAaC0AAGgtAABOIgAATiIAAA==",
        "encoding": "base64",
        "path": [
         "colors",
         "data"
        ]
       },
       {
        "data": "AACAPwAAAAAAAAAAAAAAAAAAAAAAAIA/AAAAAAAAAAAAAAAAAAAAAAAAgD8AAAAAAAAAAAAAAAAAAAAAAACAPw==",
        "encoding": "base64",
        "path": [
         "model_matrix",
         "data"
        ]
       },
       {
        "data": "YvwfPwAAAD86o3w/g+3hPwAAAD+4VG0/gV84QAAAAD9C+1M/HYt9QAAAAD/y6jI/AACgQAAAAD9KLQ0/M8K/QAEAAD+Lc8w+1BHeQAEAAD+wSIM+mxb7QAEAAD8mJQs+UosLQQEAAD/Y4kc9/jcZQQEAAD+AQU87AsgmQQEAAD+AQU87rnQ0QQEAAD/Y4kc9snRCQQEAAD8mJQs+FvdQQQEAAD+wSIM+5x5gQQEAAD+Lc8w+AABwQQAAAD9KLQ0/nE6AQQAAAD/y6jI/EPSIQQAAAD9C+1M/KOGRQQAAAD+4VG0/HQCbQQAAAD86o3w/",
        "encoding": "base64",
        "path": [
         "origins",
         "data"
        ]
       },
       {
        "data": "EeN/vlREBDF1Rnm/DLYHv0gEwS9wqVq/CvxCvysVtbKF9ie/6Vhsv8b727LJq8u+AACAvzMTU7Od1NK9KyN8vzo/lLPUMU4+QB1hv15Xw7Ofbvk+smkxv91G8bNtbTo/c9TivgTHAbSlA2c/Ef8bvkdlDrR9YX4/Ef8bPkdlDrR9YX4/c9TiPgTHAbSlA2c/smkxP91G8bNtbTo/QB1hP15Xw7Ofbvk+KyN8Pzo/lLPUMU4+AACAPzMTU7Od1NK96VhsP8b727LJq8u+CvxCPysVtbKF9ie/DLYHP0kEwS9wqVq/EeN/PlREBDF1Rnm/",
        "encoding": "base64",
        "path": [
         "vectors",
         "data"
        ]
       }
      ],
      "model_module": "k3d",
      "model_module_version": "2.11.0",
      "model_name": "ObjectModel",
      "state": {
       "_view_count": null,
       "_view_module": null,
       "_view_module_version": "",
       "_view_name": null,
       "colorLegend": false,
       "colors": {
        "dtype": "uint32",
        "shape": [
         20,
         2
        ]
       },
       "compression_level": 0,
       "head_color": 255,
       "head_size": 1,
       "id": 140592440005584,
       "label_size": 1,
       "labels": [],
       "line_width": 0.01,
       "model_matrix": {
        "dtype": "float32",
        "shape": [
         4,
         4
        ]
       },
       "name": "Vectors #1",
       "origin_color": 255,
       "origins": {
        "dtype": "float32",
        "shape": [
         20,
         3
        ]
       },
       "type": "Vectors",
       "use_head": true,
       "vectors": {
        "dtype": "float32",
        "shape": [
         20,
         3
        ]
       },
       "visible": true
      }
     },
     "738586a257894d04afde48c5116a2ca8": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "825e924cc32846ab9dfbf64bff9a1c84": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_e91d41d097ba4fbc953c9cb47fd245c2",
       "outputs": [
        {
         "data": {
          "application/vnd.jupyter.widget-view+json": {
           "model_id": "af9328dbf0fe4c169fafed1a417578c5",
           "version_major": 2,
           "version_minor": 0
          },
          "text/plain": "Plot(antialias=3, axes=['x', 'y', 'z'], axes_helper=1.0, background_color=16777215, camera_animation=[], camer…"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "8e34d944298841568e0c6e3f029b6800": {
      "model_module": "k3d",
      "model_module_version": "2.11.0",
      "model_name": "PlotModel",
      "state": {
       "_backend_version": "2.11.0",
       "_dom_classes": [],
       "_view_count": null,
       "antialias": 3,
       "auto_rendering": true,
       "axes": [
        "x\\,\\text{ (nm)}",
        "y\\,\\text{ (nm)}",
        "z\\,\\text{ (nm)}"
       ],
       "axes_helper": 1,
       "background_color": 16777215,
       "camera": [
        13.229415333048863,
        -11.562872999573294,
        1.3041915333049028,
        5.1875,
        0.5,
        0.5,
        0,
        0,
        1
       ],
       "camera_animation": [],
       "camera_auto_fit": true,
       "camera_damping_factor": 0,
       "camera_fov": 60,
       "camera_mode": "trackball",
       "camera_no_pan": false,
       "camera_no_rotate": false,
       "camera_no_zoom": false,
       "camera_pan_speed": 0.3,
       "camera_rotate_speed": 1,
       "camera_zoom_speed": 1.2,
       "clipping_planes": [],
       "colorbar_object_id": -1,
       "colorbar_scientific": false,
       "fps": 25,
       "fps_meter": false,
       "grid": [
        -1,
        -1,
        -1,
        1,
        1,
        1
       ],
       "grid_auto_fit": true,
       "grid_color": 15132390,
       "grid_visible": true,
       "height": 512,
       "label_color": 4473924,
       "layout": "IPY_MODEL_27ecf52f35554cf3b275b4417b66588c",
       "lighting": 1.5,
       "manipulate_mode": "translate",
       "menu_visibility": true,
       "mode": "view",
       "name": null,
       "object_ids": [
        140592405183792,
        140593350076016
       ],
       "rendering_steps": 1,
       "screenshot": "",
       "screenshot_scale": 2,
       "snapshot": "",
       "snapshot_type": "full",
       "time": 0,
       "voxel_paint_color": 0
      }
     },
     "97758f42da604485acd99ddf3d9232be": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "98325188ecb64bd592837d3b2c462dd1": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "99ef8a83a7014d558aefdd4668e86351": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_738586a257894d04afde48c5116a2ca8",
       "outputs": [
        {
         "data": {
          "application/vnd.jupyter.widget-view+json": {
           "model_id": "8e34d944298841568e0c6e3f029b6800",
           "version_major": 2,
           "version_minor": 0
          },
          "text/plain": "Plot(antialias=3, axes=['x', 'y', 'z'], axes_helper=1.0, background_color=16777215, camera_animation=[], camer…"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "9a95d3df6d084bbab43ab10ee7b77265": {
      "buffers": [
       {
        "data": "",
        "encoding": "base64",
        "path": [
         "attribute",
         "data"
        ]
       },
       {
        "data": "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",
        "encoding": "base64",
        "path": [
         "color_map",
         "data"
        ]
       },
       {
        "data": "",
        "encoding": "base64",
        "path": [
         "colors",
         "data"
        ]
       },
       {
        "data": "AACAPwAAAAAAAAAAAAAAAAAAAAAAAIA/AAAAAAAAAAAAAAAAAAAAAAAAgD8AAAAAAAAAAAAAAAAAAAAAAACAPw==",
        "encoding": "base64",
        "path": [
         "model_matrix",
         "data"
        ]
       },
       {
        "data": "",
        "encoding": "base64",
        "path": [
         "opacities",
         "data"
        ]
       },
       {
        "data": "",
        "encoding": "base64",
        "path": [
         "opacity_function",
         "data"
        ]
       },
       {
        "data": "",
        "encoding": "base64",
        "path": [
         "point_sizes",
         "data"
        ]
       },
       {
        "data": "AAAAPwAAAD8AAAA/AADAPwAAAD8AAAA/AAAgQAAAAD8AAAA/AABgQAAAAD8AAAA/AACQQAAAAD8AAAA/AACwQAAAAD8AAAA/AADQQAAAAD8AAAA/AADwQAAAAD8AAAA/AAAIQQAAAD8AAAA/AAAYQQAAAD8AAAA/AAAoQQAAAD8AAAA/AAA4QQAAAD8AAAA/AABIQQAAAD8AAAA/AABYQQAAAD8AAAA/AABoQQAAAD8AAAA/AAB4QQAAAD8AAAA/AACEQQAAAD8AAAA/AACMQQAAAD8AAAA/AACUQQAAAD8AAAA/AACcQQAAAD8AAAA/",
        "encoding": "base64",
        "path": [
         "positions",
         "data"
        ]
       }
      ],
      "model_module": "k3d",
      "model_module_version": "2.11.0",
      "model_name": "ObjectModel",
      "state": {
       "_view_count": null,
       "_view_module": null,
       "_view_module_version": "",
       "_view_name": null,
       "attribute": {
        "dtype": "float32",
        "shape": [
         0
        ]
       },
       "color": 5010096,
       "colorLegend": false,
       "color_map": {
        "dtype": "float32",
        "shape": [
         1024
        ]
       },
       "color_range": [],
       "colors": {
        "dtype": "uint32",
        "shape": [
         0
        ]
       },
       "compression_level": 0,
       "id": 140593349986864,
       "mesh_detail": 2,
       "model_matrix": {
        "dtype": "float32",
        "shape": [
         4,
         4
        ]
       },
       "name": "Points #1",
       "opacities": {
        "dtype": "float32",
        "shape": [
         0
        ]
       },
       "opacity": 1,
       "opacity_function": {
        "dtype": "float32",
        "shape": [
         0
        ]
       },
       "point_size": 0.25,
       "point_sizes": {
        "dtype": "float32",
        "shape": [
         0
        ]
       },
       "positions": {
        "dtype": "float32",
        "shape": [
         20,
         3
        ]
       },
       "shader": "3dSpecular",
       "type": "Points",
       "visible": true
      }
     },
     "a789870ec9e44d3380f171a1a853d409": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "a8e2414666314903ae0b0f0cfd402ae3": {
      "buffers": [
       {
        "data": "UoTdAFKE3QBShN0AUoTdAFKE3QBShN0AUoTdAFKE3QBShN0AUoTdAFKE3QBShN0AUoTdAFKE3QBShN0AUoTdAFKE3QBShN0AUoTdAFKE3QA=",
        "encoding": "base64",
        "path": [
         "colors",
         "data"
        ]
       },
       {
        "data": "AACAPwAAAAAAAAAAAAAAAAAAAAAAAIA/AAAAAAAAAAAAAAAAAAAAAAAAgD8AAAAAAAAAAAAAAAAAAAAAAACAPw==",
        "encoding": "base64",
        "path": [
         "model_matrix",
         "data"
        ]
       },
       {
        "data": "/v9/PwAAAD8AAAAAAACAPwAAAD8AAIAzAAAAQAAAAD8AAIA/AACAQAAAAD/+/38/AACgQAAAAD8AAAAzAACgQAAAAD8AAAAzAADAQAAAAD/+/38/AAAAQQAAAD8AAIA/AAAQQQAAAD8AAIAzAAAQQQAAAD8AAAAA",
        "encoding": "base64",
        "path": [
         "origins",
         "data"
        ]
       },
       {
        "data": "/f9/vwAAAAAAAIA///9/PwAAAAD+/38//v9/PwAAAAD//3+/AACAvwAAAAD9/3+//v9/vwAAAAD//38//v9/PwAAAAD//38/AACAPwAAAAD9/3+//v9/vwAAAAD//3+///9/vwAAAAD+/38//f9/PwAAAAAAAIA/",
        "encoding": "base64",
        "path": [
         "vectors",
         "data"
        ]
       }
      ],
      "model_module": "k3d",
      "model_module_version": "2.11.0",
      "model_name": "ObjectModel",
      "state": {
       "_view_count": null,
       "_view_module": null,
       "_view_module_version": "",
       "_view_name": null,
       "colorLegend": false,
       "colors": {
        "dtype": "uint32",
        "shape": [
         10,
         2
        ]
       },
       "compression_level": 0,
       "head_color": 255,
       "head_size": 3,
       "id": 140593359330848,
       "label_size": 1,
       "labels": [],
       "line_width": 0.01,
       "model_matrix": {
        "dtype": "float32",
        "shape": [
         4,
         4
        ]
       },
       "name": "Vectors #1",
       "origin_color": 255,
       "origins": {
        "dtype": "float32",
        "shape": [
         10,
         3
        ]
       },
       "type": "Vectors",
       "use_head": true,
       "vectors": {
        "dtype": "float32",
        "shape": [
         10,
         3
        ]
       },
       "visible": true
      }
     },
     "a95e2c741a2c405ba613f8af9215ddd5": {
      "buffers": [
       {
        "data": "",
        "encoding": "base64",
        "path": [
         "attribute",
         "data"
        ]
       },
       {
        "data": "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",
        "encoding": "base64",
        "path": [
         "color_map",
         "data"
        ]
       },
       {
        "data": "",
        "encoding": "base64",
        "path": [
         "colors",
         "data"
        ]
       },
       {
        "data": "AACAPwAAAAAAAAAAAAAAAAAAAAAAAIA/AAAAAAAAAAAAAAAAAAAAAAAAgD8AAAAAAAAAAAAAAAAAAAAAAACAPw==",
        "encoding": "base64",
        "path": [
         "model_matrix",
         "data"
        ]
       },
       {
        "data": "",
        "encoding": "base64",
        "path": [
         "opacities",
         "data"
        ]
       },
       {
        "data": "",
        "encoding": "base64",
        "path": [
         "opacity_function",
         "data"
        ]
       },
       {
        "data": "",
        "encoding": "base64",
        "path": [
         "point_sizes",
         "data"
        ]
       },
       {
        "data": "AAAAPwAAAD8AAAA/AADAPwAAAD8AAAA/AAAgQAAAAD8AAAA/AABgQAAAAD8AAAA/AACQQAAAAD8AAAA/AACwQAAAAD8AAAA/AADQQAAAAD8AAAA/AADwQAAAAD8AAAA/AAAIQQAAAD8AAAA/AAAYQQAAAD8AAAA/",
        "encoding": "base64",
        "path": [
         "positions",
         "data"
        ]
       }
      ],
      "model_module": "k3d",
      "model_module_version": "2.11.0",
      "model_name": "ObjectModel",
      "state": {
       "_view_count": null,
       "_view_module": null,
       "_view_module_version": "",
       "_view_name": null,
       "attribute": {
        "dtype": "float32",
        "shape": [
         0
        ]
       },
       "color": 5010096,
       "colorLegend": false,
       "color_map": {
        "dtype": "float32",
        "shape": [
         1024
        ]
       },
       "color_range": [],
       "colors": {
        "dtype": "uint32",
        "shape": [
         0
        ]
       },
       "compression_level": 0,
       "id": 140593350076016,
       "mesh_detail": 2,
       "model_matrix": {
        "dtype": "float32",
        "shape": [
         4,
         4
        ]
       },
       "name": "Points #1",
       "opacities": {
        "dtype": "float32",
        "shape": [
         0
        ]
       },
       "opacity": 1,
       "opacity_function": {
        "dtype": "float32",
        "shape": [
         0
        ]
       },
       "point_size": 0.25,
       "point_sizes": {
        "dtype": "float32",
        "shape": [
         0
        ]
       },
       "positions": {
        "dtype": "float32",
        "shape": [
         10,
         3
        ]
       },
       "shader": "3dSpecular",
       "type": "Points",
       "visible": true
      }
     },
     "ac8f2d8ef8e545c2bd0bb6a00f61a88d": {
      "buffers": [
       {
        "data": "UoTdAFKE3QBShN0AUoTdAFKE3QBShN0AUoTdAFKE3QBShN0AUoTdAFKE3QBShN0AUoTdAFKE3QBShN0AUoTdAFKE3QBShN0AUoTdAFKE3QBShN0AUoTdAFKE3QBShN0AUoTdAFKE3QBShN0AUoTdAFKE3QBShN0AUoTdAFKE3QBShN0AUoTdAFKE3QBShN0AUoTdAFKE3QBShN0AUoTdAA==",
        "encoding": "base64",
        "path": [
         "colors",
         "data"
        ]
       },
       {
        "data": "AACAPwAAAAAAAAAAAAAAAAAAAAAAAIA/AAAAAAAAAAAAAAAAAAAAAAAAgD8AAAAAAAAAAAAAAAAAAAAAAACAPw==",
        "encoding": "base64",
        "path": [
         "model_matrix",
         "data"
        ]
       },
       {
        "data": "AAAAPwAAAAAAAAAAAADAPwAAAAAAAAAAAAAgQAAAAAAAAAAAAABgQAAAAAAAAAAAAACQQAAAAAAAAAAAAACwQAAAAAAAAAAAAADQQAAAAAAAAAAAAADwQAAAAAAAAAAAAAAIQQAAAAAAAAAAAAAYQQAAAAAAAAAAAAAoQQAAAAAAAAAAAAA4QQAAAAAAAAAAAABIQQAAAAAAAAAAAABYQQAAAAAAAAAAAABoQQAAAAAAAAAAAAB4QQAAAAAAAAAAAACEQQAAAAAAAAAAAACMQQAAAAAAAAAAAACUQQAAAAAAAAAAAACcQQAAAAAAAAAA",
        "encoding": "base64",
        "path": [
         "origins",
         "data"
        ]
       },
       {
        "data": "AAAAAAAAgD8AAIA/AAAAAAAAgD8AAIA/AAAAAAAAgD8AAIA/AAAAAAAAgD8AAIA/AAAAAAAAgD8AAIA/AAAAAAAAgD8AAIA/AAAAAAAAgD8AAIA/AAAAAAAAgD8AAIA/AAAAAAAAgD8AAIA/AAAAAAAAgD8AAIA/AAAAAAAAgD8AAIA/AAAAAAAAgD8AAIA/AAAAAAAAgD8AAIA/AAAAAAAAgD8AAIA/AAAAAAAAgD8AAIA/AAAAAAAAgD8AAIA/AAAAAAAAgD8AAIA/AAAAAAAAgD8AAIA/AAAAAAAAgD8AAIA/AAAAAAAAgD8AAIA/",
        "encoding": "base64",
        "path": [
         "vectors",
         "data"
        ]
       }
      ],
      "model_module": "k3d",
      "model_module_version": "2.11.0",
      "model_name": "ObjectModel",
      "state": {
       "_view_count": null,
       "_view_module": null,
       "_view_module_version": "",
       "_view_name": null,
       "colorLegend": false,
       "colors": {
        "dtype": "uint32",
        "shape": [
         20,
         2
        ]
       },
       "compression_level": 0,
       "head_color": 255,
       "head_size": 1,
       "id": 140593357778800,
       "label_size": 1,
       "labels": [],
       "line_width": 0.01,
       "model_matrix": {
        "dtype": "float32",
        "shape": [
         4,
         4
        ]
       },
       "name": "Vectors #1",
       "origin_color": 255,
       "origins": {
        "dtype": "float32",
        "shape": [
         20,
         3
        ]
       },
       "type": "Vectors",
       "use_head": true,
       "vectors": {
        "dtype": "float32",
        "shape": [
         20,
         3
        ]
       },
       "visible": true
      }
     },
     "adc5582d0d2947859601a87623fb367f": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "af9328dbf0fe4c169fafed1a417578c5": {
      "model_module": "k3d",
      "model_module_version": "2.11.0",
      "model_name": "PlotModel",
      "state": {
       "_backend_version": "2.11.0",
       "_dom_classes": [],
       "_view_count": null,
       "antialias": 3,
       "auto_rendering": true,
       "axes": [
        "x\\,\\text{ (nm)}",
        "y\\,\\text{ (nm)}",
        "z\\,\\text{ (nm)}"
       ],
       "axes_helper": 1,
       "background_color": 16777215,
       "camera": [
        13.953075786981934,
        -12.929613591065934,
        1.3953075727377473,
        5.000000059604645,
        0.5,
        0.5,
        0,
        0,
        1
       ],
       "camera_animation": [],
       "camera_auto_fit": true,
       "camera_damping_factor": 0,
       "camera_fov": 60,
       "camera_mode": "trackball",
       "camera_no_pan": false,
       "camera_no_rotate": false,
       "camera_no_zoom": false,
       "camera_pan_speed": 0.3,
       "camera_rotate_speed": 1,
       "camera_zoom_speed": 1.2,
       "clipping_planes": [],
       "colorbar_object_id": -1,
       "colorbar_scientific": false,
       "fps": 25,
       "fps_meter": false,
       "grid": [
        -1,
        -1,
        -1,
        1,
        1,
        1
       ],
       "grid_auto_fit": true,
       "grid_color": 15132390,
       "grid_visible": true,
       "height": 512,
       "label_color": 4473924,
       "layout": "IPY_MODEL_e9d6e6f049da40178672dcbd420c57bb",
       "lighting": 1.5,
       "manipulate_mode": "translate",
       "menu_visibility": true,
       "mode": "view",
       "name": null,
       "object_ids": [
        140593350648256,
        140593350545120
       ],
       "rendering_steps": 1,
       "screenshot": "",
       "screenshot_scale": 2,
       "snapshot": "",
       "snapshot_type": "full",
       "time": 0,
       "voxel_paint_color": 0
      }
     },
     "b1e33e84c1554550b293285770f3093e": {
      "model_module": "k3d",
      "model_module_version": "2.11.0",
      "model_name": "PlotModel",
      "state": {
       "_backend_version": "2.11.0",
       "_dom_classes": [],
       "_view_count": null,
       "antialias": 3,
       "auto_rendering": true,
       "axes": [
        "x\\,\\text{ (nm)}",
        "y\\,\\text{ (nm)}",
        "z\\,\\text{ (nm)}"
       ],
       "axes_helper": 1,
       "background_color": 16777215,
       "camera": [
        117.93168006074542,
        -177.5225200189406,
        14.318168003187637,
        -0.2499999711290002,
        -0.2499999711290002,
        2.5,
        0,
        0,
        1
       ],
       "camera_animation": [],
       "camera_auto_fit": true,
       "camera_damping_factor": 0,
       "camera_fov": 60,
       "camera_mode": "trackball",
       "camera_no_pan": false,
       "camera_no_rotate": false,
       "camera_no_zoom": false,
       "camera_pan_speed": 0.3,
       "camera_rotate_speed": 1,
       "camera_zoom_speed": 1.2,
       "clipping_planes": [],
       "colorbar_object_id": -1,
       "colorbar_scientific": false,
       "fps": 25,
       "fps_meter": false,
       "grid": [
        -1,
        -1,
        -1,
        1,
        1,
        1
       ],
       "grid_auto_fit": true,
       "grid_color": 15132390,
       "grid_visible": true,
       "height": 512,
       "label_color": 4473924,
       "layout": "IPY_MODEL_caec943160d24c059ca5fca520b98587",
       "lighting": 1.5,
       "manipulate_mode": "translate",
       "menu_visibility": true,
       "mode": "view",
       "name": null,
       "object_ids": [
        140593353796912
       ],
       "rendering_steps": 1,
       "screenshot": "",
       "screenshot_scale": 2,
       "snapshot": "",
       "snapshot_type": "full",
       "time": 0,
       "voxel_paint_color": 0
      }
     },
     "b663ebfde63a43de85cc6d7906a739cd": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "bda32c84bd7345998953da1694c9ba7b": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "c8dfb851c64848d1a0430d7af0738e10": {
      "buffers": [
       {
        "data": "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",
        "encoding": "base64",
        "path": [
         "color_map",
         "data"
        ]
       },
       {
        "data": "AADIQgAAAAAAAAAAAAAAAAAAAAAAAMhCAAAAAAAAAAAAAAAAAAAAAAAAoEAAACBAAAAAAAAAAAAAAAAAAACAPw==",
        "encoding": "base64",
        "path": [
         "model_matrix",
         "data"
        ]
       },
       {
        "data": "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",
        "encoding": "base64",
        "path": [
         "voxels",
         "data"
        ]
       }
      ],
      "model_module": "k3d",
      "model_module_version": "2.11.0",
      "model_name": "ObjectModel",
      "state": {
       "_view_count": null,
       "_view_module": null,
       "_view_module_version": "",
       "_view_name": null,
       "colorLegend": false,
       "color_map": {
        "dtype": "uint32",
        "shape": [
         256
        ]
       },
       "compression_level": 0,
       "id": 140593353796912,
       "model_matrix": {
        "dtype": "float32",
        "shape": [
         4,
         4
        ]
       },
       "name": "Voxels #1",
       "opacity": 1,
       "outlines": false,
       "outlines_color": 0,
       "type": "Voxels",
       "visible": true,
       "voxels": {
        "dtype": "uint8",
        "shape": [
         1,
         20,
         20
        ]
       },
       "wireframe": false
      }
     },
     "ca8cd3d5f9494589bd52a75efc117c94": {
      "model_module": "k3d",
      "model_module_version": "2.11.0",
      "model_name": "PlotModel",
      "state": {
       "_backend_version": "2.11.0",
       "_dom_classes": [],
       "_view_count": null,
       "antialias": 3,
       "auto_rendering": true,
       "axes": [
        "x\\,\\text{ (nm)}",
        "y\\,\\text{ (nm)}",
        "z\\,\\text{ (nm)}"
       ],
       "axes_helper": 1,
       "background_color": 16777215,
       "camera": [
        25.867752306567304,
        -23.30162801281612,
        2.0867752008544347,
        10.000000298023224,
        0.5,
        0.5,
        0,
        0,
        1
       ],
       "camera_animation": [],
       "camera_auto_fit": true,
       "camera_damping_factor": 0,
       "camera_fov": 60,
       "camera_mode": "trackball",
       "camera_no_pan": false,
       "camera_no_rotate": false,
       "camera_no_zoom": false,
       "camera_pan_speed": 0.3,
       "camera_rotate_speed": 1,
       "camera_zoom_speed": 1.2,
       "clipping_planes": [],
       "colorbar_object_id": -1,
       "colorbar_scientific": false,
       "fps": 25,
       "fps_meter": false,
       "grid": [
        -1,
        -1,
        -1,
        1,
        1,
        1
       ],
       "grid_auto_fit": true,
       "grid_color": 15132390,
       "grid_visible": true,
       "height": 512,
       "label_color": 4473924,
       "layout": "IPY_MODEL_97758f42da604485acd99ddf3d9232be",
       "lighting": 1.5,
       "manipulate_mode": "translate",
       "menu_visibility": true,
       "mode": "view",
       "name": null,
       "object_ids": [
        140593357778800,
        140593349986864
       ],
       "rendering_steps": 1,
       "screenshot": "",
       "screenshot_scale": 2,
       "snapshot": "",
       "snapshot_type": "full",
       "time": 0,
       "voxel_paint_color": 0
      }
     },
     "caec943160d24c059ca5fca520b98587": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "e04d6e96ba4749f1a44a19793f1699e6": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_a789870ec9e44d3380f171a1a853d409",
       "outputs": [
        {
         "data": {
          "application/vnd.jupyter.widget-view+json": {
           "model_id": "0ee1eb3657bc4af997dc89110070f5bd",
           "version_major": 2,
           "version_minor": 0
          },
          "text/plain": "Plot(antialias=3, axes=['x', 'y', 'z'], axes_helper=1.0, background_color=16777215, camera_animation=[], camer…"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "e771a32580db4177b6b49bad6a6a4e24": {
      "model_module": "k3d",
      "model_module_version": "2.11.0",
      "model_name": "PlotModel",
      "state": {
       "_backend_version": "2.11.0",
       "_dom_classes": [],
       "_view_count": null,
       "antialias": 3,
       "auto_rendering": true,
       "axes": [
        "x\\,\\text{ (nm)}",
        "y\\,\\text{ (nm)}",
        "z\\,\\text{ (nm)}"
       ],
       "axes_helper": 1,
       "background_color": 16777215,
       "camera": [
        26.485336310552096,
        -24.228024053404532,
        2.148533575178793,
        10.00000025331974,
        0.49998003244400024,
        0.49999996945552994,
        0,
        0,
        1
       ],
       "camera_animation": [],
       "camera_auto_fit": true,
       "camera_damping_factor": 0,
       "camera_fov": 60,
       "camera_mode": "trackball",
       "camera_no_pan": false,
       "camera_no_rotate": false,
       "camera_no_zoom": false,
       "camera_pan_speed": 0.3,
       "camera_rotate_speed": 1,
       "camera_zoom_speed": 1.2,
       "clipping_planes": [],
       "colorbar_object_id": -1,
       "colorbar_scientific": false,
       "fps": 25,
       "fps_meter": false,
       "grid": [
        -1,
        -1,
        -1,
        1,
        1,
        1
       ],
       "grid_auto_fit": true,
       "grid_color": 15132390,
       "grid_visible": true,
       "height": 512,
       "label_color": 4473924,
       "layout": "IPY_MODEL_2b2d2880108246bc87f2fec8c3f6b27e",
       "lighting": 1.5,
       "manipulate_mode": "translate",
       "menu_visibility": true,
       "mode": "view",
       "name": null,
       "object_ids": [
        140593359392528,
        140593353840000
       ],
       "rendering_steps": 1,
       "screenshot": "",
       "screenshot_scale": 2,
       "snapshot": "",
       "snapshot_type": "full",
       "time": 0,
       "voxel_paint_color": 0
      }
     },
     "e91d41d097ba4fbc953c9cb47fd245c2": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "e9d6e6f049da40178672dcbd420c57bb": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "edf849a73a32444ea5fff440318e12dc": {
      "buffers": [
       {
        "data": "UoTdAFKE3QBShN0AUoTdAFKE3QBShN0AUoTdAFKE3QBShN0AUoTdAFKE3QBShN0AUoTdAFKE3QBShN0AUoTdAFKE3QBShN0AUoTdAFKE3QA=",
        "encoding": "base64",
        "path": [
         "colors",
         "data"
        ]
       },
       {
        "data": "AACAPwAAAAAAAAAAAAAAAAAAAAAAAIA/AAAAAAAAAAAAAAAAAAAAAAAAgD8AAAAAAAAAAAAAAAAAAAAAAACAPw==",
        "encoding": "base64",
        "path": [
         "model_matrix",
         "data"
        ]
       },
       {
        "data": "AAAAPwAAAD8AAAAAAADAPwAAAD8AAAAAAAAgQAAAAD8AAAAAAABgQAAAAD8AAAAAAACQQAAAAD8AAAAAAACgQAAAAD8AAAA/AADAQAAAAD8AAAA/AADgQAAAAD8AAAA/AAAAQQAAAD8AAAA/AAAQQQAAAD8AAAA/",
        "encoding": "base64",
        "path": [
         "origins",
         "data"
        ]
       },
       {
        "data": "AAAAAAAAAAAAAIA/AAAAAAAAAAAAAIA/AAAAAAAAAAAAAIA/AAAAAAAAAAAAAIA/AAAAAAAAAAAAAIA/AACAPwAAAAAAAAAAAACAPwAAAAAAAAAAAACAPwAAAAAAAAAAAACAPwAAAAAAAAAAAACAPwAAAAAAAAAA",
        "encoding": "base64",
        "path": [
         "vectors",
         "data"
        ]
       }
      ],
      "model_module": "k3d",
      "model_module_version": "2.11.0",
      "model_name": "ObjectModel",
      "state": {
       "_view_count": null,
       "_view_module": null,
       "_view_module_version": "",
       "_view_name": null,
       "colorLegend": false,
       "colors": {
        "dtype": "uint32",
        "shape": [
         10,
         2
        ]
       },
       "compression_level": 0,
       "head_color": 255,
       "head_size": 3,
       "id": 140592405183792,
       "label_size": 1,
       "labels": [],
       "line_width": 0.01,
       "model_matrix": {
        "dtype": "float32",
        "shape": [
         4,
         4
        ]
       },
       "name": "Vectors #1",
       "origin_color": 255,
       "origins": {
        "dtype": "float32",
        "shape": [
         10,
         3
        ]
       },
       "type": "Vectors",
       "use_head": true,
       "vectors": {
        "dtype": "float32",
        "shape": [
         10,
         3
        ]
       },
       "visible": true
      }
     },
     "ee913636414c4cfe98da21caa4b6696d": {
      "buffers": [
       {
        "data": "ZbnJAGW5yQB5goUAeYKFAGxRRgBsUUYAai4AAGouAABOIgAATiIAAHEzBQBxMwUAbVpTAG1aUwB4jpMAeI6TAF3D1gBdw9YAOOj+ADjo/gA46P4AOOj+AF3D1gBdw9YAeI6TAHiOkwBtWlMAbVpTAHEzBQBxMwUATiIAAE4iAABqLgAAai4AAGxRRgBsUUYAeYKFAHmChQBluckAZbnJAA==",
        "encoding": "base64",
        "path": [
         "colors",
         "data"
        ]
       },
       {
        "data": "AACAPwAAAAAAAAAAAAAAAAAAAAAAAIA/AAAAAAAAAAAAAAAAAAAAAAAAgD8AAAAAAAAAAAAAAAAAAAAAAACAPw==",
        "encoding": "base64",
        "path": [
         "model_matrix",
         "data"
        ]
       },
       {
        "data": "RES6PQAAAD8EQ1g+AACAPwAAAD9+KPI+AfsDQAAAAD9pNj4/B4tQQAAAAD92SnA/heuQQAAAAD+6+X8/Y0m5QAAAAD9gdmg/Fc/eQAAAAD8U9DA/m8v/QAAAAD+j5tQ+zvgNQQAAAD8SMSo+jDcaQQAAAD/AMZo8dMglQQAAAD/AMZo8MgcyQQAAAD8SMSo+MxpAQQAAAD+j5tQ+dZhQQQAAAD8U9DA/TltjQQAAAD9gdmg/PYp3QQAAAD+6+X8/n+6FQQAAAD92SnA/oICPQQAAAD9pNj4/AACYQQAAAD9+KPI+vEWfQQAAAD8EQ1g+",
        "encoding": "base64",
        "path": [
         "origins",
         "data"
        ]
       },
       {
        "data": "725RP1cEH65+3hM/AACAPyC5mK0beF09+ydgP0vjWy2l2fi+ik/3PkTOTC7slGC/FoVrvWyHxC5183+/NJYUv+MADS/B7FC/VfFsvzBFNS9Q0MO+rLl8v83QVC91ZSw+tBk/v4wRbi935yo/7uKNvkxady/kXHY/7uKNPkxady/kXHY/tBk/P4wRbi935yo/rLl8P83QVC91ZSw+VfFsPzBFNS9Q0MO+NJYUP+MADS/B7FC/FoVrPWyHxC5183+/ik/3vkTOTC7slGC/+ydgv0vjWy2l2fi+AACAvyC5mK0beF09725Rv1cEH65+3hM/",
        "encoding": "base64",
        "path": [
         "vectors",
         "data"
        ]
       }
      ],
      "model_module": "k3d",
      "model_module_version": "2.11.0",
      "model_name": "ObjectModel",
      "state": {
       "_view_count": null,
       "_view_module": null,
       "_view_module_version": "",
       "_view_name": null,
       "colorLegend": false,
       "colors": {
        "dtype": "uint32",
        "shape": [
         20,
         2
        ]
       },
       "compression_level": 0,
       "head_color": 255,
       "head_size": 1,
       "id": 140593359392528,
       "label_size": 1,
       "labels": [],
       "line_width": 0.01,
       "model_matrix": {
        "dtype": "float32",
        "shape": [
         4,
         4
        ]
       },
       "name": "Vectors #1",
       "origin_color": 255,
       "origins": {
        "dtype": "float32",
        "shape": [
         20,
         3
        ]
       },
       "type": "Vectors",
       "use_head": true,
       "vectors": {
        "dtype": "float32",
        "shape": [
         20,
         3
        ]
       },
       "visible": true
      }
     },
     "eee7cbbac5e1467ca4465554dc621c18": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_adc5582d0d2947859601a87623fb367f",
       "outputs": [
        {
         "data": {
          "application/vnd.jupyter.widget-view+json": {
           "model_id": "b1e33e84c1554550b293285770f3093e",
           "version_major": 2,
           "version_minor": 0
          },
          "text/plain": "Plot(antialias=3, axes=['x', 'y', 'z'], axes_helper=1.0, background_color=16777215, camera_animation=[], camer…"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "ef5fa966bd7641169aa8025283760bac": {
      "buffers": [
       {
        "data": "",
        "encoding": "base64",
        "path": [
         "attribute",
         "data"
        ]
       },
       {
        "data": "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",
        "encoding": "base64",
        "path": [
         "color_map",
         "data"
        ]
       },
       {
        "data": "",
        "encoding": "base64",
        "path": [
         "colors",
         "data"
        ]
       },
       {
        "data": "AACAPwAAAAAAAAAAAAAAAAAAAAAAAIA/AAAAAAAAAAAAAAAAAAAAAAAAgD8AAAAAAAAAAAAAAAAAAAAAAACAPw==",
        "encoding": "base64",
        "path": [
         "model_matrix",
         "data"
        ]
       },
       {
        "data": "",
        "encoding": "base64",
        "path": [
         "opacities",
         "data"
        ]
       },
       {
        "data": "",
        "encoding": "base64",
        "path": [
         "opacity_function",
         "data"
        ]
       },
       {
        "data": "",
        "encoding": "base64",
        "path": [
         "point_sizes",
         "data"
        ]
       },
       {
        "data": "AAAAPwAAAD8AAAA/AADAPwAAAD8AAAA/AAAgQAAAAD8AAAA/AABgQAAAAD8AAAA/AACQQAAAAD8AAAA/AACwQAAAAD8AAAA/AADQQAAAAD8AAAA/AADwQAAAAD8AAAA/AAAIQQAAAD8AAAA/AAAYQQAAAD8AAAA/",
        "encoding": "base64",
        "path": [
         "positions",
         "data"
        ]
       }
      ],
      "model_module": "k3d",
      "model_module_version": "2.11.0",
      "model_name": "ObjectModel",
      "state": {
       "_view_count": null,
       "_view_module": null,
       "_view_module_version": "",
       "_view_name": null,
       "attribute": {
        "dtype": "float32",
        "shape": [
         0
        ]
       },
       "color": 5010096,
       "colorLegend": false,
       "color_map": {
        "dtype": "float32",
        "shape": [
         1024
        ]
       },
       "color_range": [],
       "colors": {
        "dtype": "uint32",
        "shape": [
         0
        ]
       },
       "compression_level": 0,
       "id": 140593350545120,
       "mesh_detail": 2,
       "model_matrix": {
        "dtype": "float32",
        "shape": [
         4,
         4
        ]
       },
       "name": "Points #1",
       "opacities": {
        "dtype": "float32",
        "shape": [
         0
        ]
       },
       "opacity": 1,
       "opacity_function": {
        "dtype": "float32",
        "shape": [
         0
        ]
       },
       "point_size": 0.25,
       "point_sizes": {
        "dtype": "float32",
        "shape": [
         0
        ]
       },
       "positions": {
        "dtype": "float32",
        "shape": [
         10,
         3
        ]
       },
       "shader": "3dSpecular",
       "type": "Points",
       "visible": true
      }
     }
    },
    "version_major": 2,
    "version_minor": 0
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}