{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "source": [
    "# Spatially varying parameters 1\n",
    "\n",
    "In this tutorial, we explore different ways of defining a spatially varying parameter. As an example, we use the  Zeeman energy term.\n",
    "\n",
    "### Spatially constant $\\mathbf{H}$\n",
    "\n",
    "Let us start by assembling a simple simulation where $\\mathbf{H}$ does not vary in space. The sample is a \"one-dimensional\" chain of magnetic moments."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import oommfc as mc\n",
    "import discretisedfield as df\n",
    "import micromagneticmodel as mm\n",
    "\n",
    "p1 = (-10e-9, 0, 0)\n",
    "p2 = (10e-9, 1e-9, 1e-9)\n",
    "cell = (1e-9, 1e-9, 1e-9)\n",
    "region = df.Region(p1=p1, p2=p2)\n",
    "mesh = df.Mesh(region=region, cell=cell)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The system has an energy equation, which consists of only Zeeman energy term."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "H = (0, 0, 1e6)  # external magnetic field (A/m)\n",
    "system = mm.System(name='zeeman_constant_H')\n",
    "system.energy = mm.Zeeman(H=H)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We are going to minimise the system's energy using `oommfc.MinDriver` later. Therefore, we do not have to define the system's dynamics equation. Finally, we need to define the system's magnetisation (`system.m`). We are going to make it random with $M_\\text{s}=8\\times10^{5} \\,\\text{Am}^{-1}$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import random\n",
    "import discretisedfield as df\n",
    "\n",
    "Ms = 8e5  # saturation magnetisation (A/m)\n",
    "\n",
    "def m_fun(pos):\n",
    "    return [2*random.random()-1 for i in range(3)]\n",
    "\n",
    "system.m = df.Field(mesh, nvdim=3, value=m_fun, norm=Ms)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The magnetisation, we set is"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "tags": [
     "nbval-ignore-output"
    ]
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1000x200 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "system.m.sel(\"y\").mpl(scalar_kw={\"colorbar_label\": \"$m_y$\", \"clim\": (-Ms, Ms)}, figsize=(10, 2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, we can minimise the system's energy by using `oommfc.MinDriver`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Running OOMMF (ExeOOMMFRunner)[2023/10/23 16:07]... (0.3 s)\n"
     ]
    }
   ],
   "source": [
    "md = mc.MinDriver()\n",
    "md.drive(system)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We expect that now all magnetic moments are aligned parallel to the external magnetic field (in the $z$-direction)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "tags": [
     "nbval-ignore-output"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x200 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "system.m.sel(\"y\").mpl(scalar_kw={\"colorbar_label\": \"$m_y$\", \"clim\": (-Ms, Ms)}, figsize=(10, 2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Spatially varying H\n",
    "\n",
    "There are two different ways how a parameter can be made spatially varying, by using:\n",
    "\n",
    "1. Dictionary\n",
    "2. `discretisedfield.Field`\n",
    "\n",
    "**Dictionary**\n",
    "\n",
    "In order to define a parameter using a dictionary, subregions must be defined in the mesh. Subregions are defined as a dictionary, whose keys are the strings and values are `discretisedfield.Region` objects, which take two corner points of the region as input parameters. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "p1 = (-10e-9, 0, 0)\n",
    "p2 = (10e-9, 1e-9, 1e-9)\n",
    "cell = (1e-9, 1e-9, 1e-9)\n",
    "subregions = {'subregion1': df.Region(p1=(-10e-9, 0, 0), p2=(0, 1e-9, 1e-9)),\n",
    "              'subregion2': df.Region(p1=(0, 0, 0), p2=(10e-9, 1e-9, 1e-9))}\n",
    "\n",
    "region = df.Region(p1=p1, p2=p2)\n",
    "mesh = df.Mesh(region=region, cell=cell, subregions=subregions)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us say we want to apply the external magnetic field $\\mathbf{H}$ in region 1 in the $x$-direction and in region 2 in the negative $z$-direction. `H` is now defined as a dictionary:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "H = {'subregion1': (1e6, 0, 0), 'subregion2': (0, 0, -1e6)}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The system object is"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "system = mm.System(name='zeeman_dict_H')\n",
    "system.energy = mm.Zeeman(H=H)\n",
    "system.m = df.Field(mesh, nvdim=3, value=m_fun, norm=Ms)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Its magnetisation is"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "tags": [
     "nbval-ignore-output"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x200 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "system.m.sel(\"y\").mpl(scalar_kw={\"colorbar_label\": \"$m_y$\", \"clim\": (-Ms, Ms)}, figsize=(10, 2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "After we minimise the energy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Running OOMMF (ExeOOMMFRunner)[2023/10/23 16:07]... (0.2 s)\n"
     ]
    }
   ],
   "source": [
    "md.drive(system)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The magnetisation is as we expected."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "tags": [
     "nbval-ignore-output"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x200 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "system.m.sel(\"y\").mpl(scalar_kw={\"colorbar_label\": \"$m_y$\", \"clim\": (-Ms, Ms)}, figsize=(10, 2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mesh.mpl.subregions(box_aspect=(10, 3.5, 3), figsize=(8, 8))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**`discretisedfield.Field`**\n",
    "\n",
    "Let us say that the external magnetic field varies in space as\n",
    "\n",
    "$$\\mathbf{H}(x, y, z) = (c^{2}x, 0, c)$$\n",
    "\n",
    "where $c=10^{9}$ and the entire field is normalised with $H = 10^{6} \\,\\text{Am}^{-1}$. The value of a spatially varying field is set using a Python function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "def H_fun(point):\n",
    "    x, y, z = point\n",
    "    c = 1e9\n",
    "    return (c*c*x, 0, c)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The external magnetic field is"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x300 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "H = df.Field(mesh, nvdim=3, value=H_fun, norm=1e6)\n",
    "H.sel('y').mpl(figsize=(15, 3), scalar_kw={\"colorbar_label\": \"$m_y$\"})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The system is"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "system = mm.System(name='zeeman_field_H')\n",
    "system.energy = mm.Zeeman(H=H)\n",
    "system.m = df.Field(mesh, nvdim=3, value=m_fun, norm=Ms)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "and its magnetisation is"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "tags": [
     "nbval-ignore-output"
    ]
   },
   "outputs": [
    {
     "data": {
      "image/png": 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xCfAe7Q+bLob5fMmqpIiL/gvVD1IBAFyxGbyi5kLk7GqQ+lT1WimbL2QAzpeMUi0ssmuNUm/8mY+efqU0rI6wQK/g6I033kBZWRlGjRqFf/3rX/Dw8NAamADACy+80Jr26UQsFgOA1qx59dvMzMxYq48nEIPD5YNRyh/XU1vB2vHbOoZRojrnodo2c49OeiXg0IYn4MHBxxoFKaWqbflP/NsUyCvLwSgUxm4GaWOUNZo3abjmYiO0hLBFIVOguliC6z8koesr/hBZsX/DkMPh4Or2O6gprYXPiA6sH78xVl62ODPnZwz46lk4dGM/YElcFI/qBxmqv5WSGmTv+g4dps4D31r3bLWE1GOME/eSdkav4Ojq1avYvXs3SkpKsHHjRq1lGIYBh8N5KsGRo6MjAKCkpETjscLCQgCAk5MTa/VxOBwIxVaorX5cn1TyzwmOaovzoZBUq22zcO/Eah1O/rZqwVFBSqnqPdWWycpLUXzuFGoyH6DjW/ON3RzSxiirNe/gcs3YS2hDnr7qwhqAAaQVUtzYnYQ+M4INUo9ToD1OfnQWikX94TeK3fNtYxyDXSGrkOLP+b+i/xcj4RLG7pIY3WaEIf9SPpS1j28ayMtKkLVrE7zemguemG4ckJahOUft21dffYXo6GhYWmr2dLNJr+Doiy++QGlpKQYMGICgoCBWs9Xpw9/fHzweDykpKRqPpaSkwMnJCc7OzqzWKWgQHMn+QcFRdfZDjW3mHux+WTsH2OHOz2mqv6WVMpRnV8HG07AfCH3JykpQnPA7yq6dB6NQwPO1GeDw2s68PNI2MA16jjgCPjgCep+Ysqq8xzeKbu5ORvcJARDbsv+d6NLdEYyCQfwnCVDUKhH4vA/rdTRk5W0HoY0Y0jIJEv59DGGfjYDH0M6sHd/GxwHur76FrJ2bAOXjnnZpXi5y92+Dx+vTwGlD85uJpuqaItTWlsHOlr33RWtQtrr27cyZMzhw4ABmzpyJiRMnGiz/gV5HTU1NxRtvvIH//Oc/bLdHL1ZWVggPD8fx48exYMEC1TC7vLw8nDt3Dq+9xv48CKHISu3vf3JwxBUIIXZyZ7UOJ39bjW35KaVtLjiSlhShOCEeZdcvqr7cLf27wcLH38gtI22Rska954hDvUZtij6905X5j4MjWZUM13feQd+5+s+PbIxL97oREmCA0/89D4VUgW4vtzy7a0twuBw4Brsi5480KGVKnP8kDr0/HALvMeyd38w7+cJ13Gt49L8f1LZXP0jFo5/3w3Xca21+xMA/kZJRIDPrL6Rn/oF+oe8YuzmPUXDUrh0+fBj/+9//EBsbi507dyImJgajR49mvR6uPjuZm5sjMDCQ7bYAALKysnDz5k3cvHkT+fn5AIB79+6ptkmlUhw6dAhBQUE4e/asar/33nsPFRUVmD17NhISEnDq1ClER0fDxsYGM2bMYL2dArF6cCT9B805qmow38jMzRscLo/VOpz8bIEG57iCZM1hk8YiLS5A7pG9eLj+C5RdPa8KjDg8Ppyeed7IrSNtVcM5R1wzGjZkaIyy6cXKAaAkqwr75ifi0r60Fh+/Kl99iPGtfcmoLmpZog5diG1EsO34OEnEn8sv4voPSazX05BD8BNZXpUMLn9+Gnf3sZtEyLp7LzhGPKexveLGJRTFH2W1LtJ65RXZuHRlA+4//A1Ojl0hFLahm5ZKI/2Qp4LL5eLll1/GiRMn8MILL+Djjz/Giy++iAsXLrBaj149R0OHDsWFCxcMMp/om2++wcGDB9W2zZs3T/Xv+Ph4KJVKKBQKKJWP35GBgYHYtm0bVq1ahVmzZoHH46F///5YvXq1ak4SmxoGRzJJJRhGCQ5Hr3jTZMgqyyArK1LbZu7uzXo9QgsBbL0sUZpRqdrWFpIySIvyUXQ2DuW3LgOM5kWXff9hENoZJ3PaPwkjVyD/f+cAhoG4ozMEpX4Q2Ni3+c+fsrphcEQ9R4Ykq5Hj1LpkRC7opv1xiQJ/fX8XCVvvQV6rRPqlIgRFusPCXvf/lyeH1QGAXKLAtW23Ef5eaKvaro1rD0eUpper/k5YcwXyWgV6T9X+/NjgFKy5BMaN2HOQVdQicGooa706duHDIC8rRWniWbXtxWfjwbexhW2fAazUQ/SnUEjxID0emVl/AX9nVezg0cb+X6jn6B/BzMwMc+bMwauvvorY2FhMnToVAwYMwPvvv48uXbq0+vh6BUf/93//h3fffReLFy/GSy+9BA8Pj0ZTerc0S9yyZcuwbNmyJst4enpi/PjxGtt79uyJnTt3tqg+fQkbBEcAA1ltlZbt7ClKKYbQUgArD8PV0ZyGWeoAwMLDMGONnfzt1IIjY/Yc1RY8QtGfJ1Fx5xqgJdUuAPCtbWE/YAT7dVfJcG5zKnq80BH2HdvQHToj4vB5cBjdGw8X7cWjXX8AqBveKXJ0hcjRDWJHN4id3CFydAPfzMLIrX2s4bA6rjm7wZEpJC15WhQyJQ68fxmFDyo0giOGYZB6+hF+W34bpTmPgxtJhQy/f52EsYtCdK6nYc8RANz5XyqCJwfBwtlc7/Zr49LDCclHHqhtS9xwHQqpAn2iexjk/97G1wF8MwHkNerZYJO2XoG0Qorg+eHgcFtfL4fDgdOoFyAvL0Nl8k21x/KP/gS+lQ0sAwwXBLY1cpkECpkEInNbYzcFAFBUfBcp9w5DInn8Pexg5wcLC3bnc7cWZav758jKysLt27dhY2MDDw8PnDlzBmfPnsW4cePw7rvvwsFB/xvVegVHw4YNAwD8+eef2LNnT6PlOBwO7ty5o1/L2jiBSDNAkUkqDBocgcvBjy/9jMAX/RAS1Q1m9uylJ9eVRjIGDhdmboZJLescYIu7JzNVf1cVSlBVJIGFQ91QpJL0CuTdLkbAaMOtvyLJy0bR2ThUJjW/bpDTM/8CV8BeGl9GyeDmLxk4/fVtKKRKDJkbxNqxjU0pkaHi6gOYB3hAYKdfwMe3MkPnxa8jbemPqLyRDqVMiprcDNTkZqiXs7CG2MlNFTSJHN0gcnABl699+QFD0uw5YndY3e0/inHxSD56j3ZC4EB7CIRtuyfNUBglgyMLr+HuH3kQWal/zRWlV+L4slu4/1e+1n2vHsxA30mdgSeGsDWlUktwpJAqceX7Wxj0YVjLG98E1byjBi5vuQV5rQL95/dkPUDi8rmw7+6C/MQsjcfuH7gFWaUUvf8zBFx+699rHC4Xri9ORNaObyHJTHv8AMMg98BOeE6ZCTMvb439lDIZuI0sJ8ImRWUlKq9eA9/OFhbdDBuo8XgC3PhlORw79YF70DDwhU//+x4ApLIq3Lt/FI/yr2k85uXZxnqNAHAoW127tnLlSty+fRu3b99GeXk5BAIBAgICMGjQIMyePRt2dnbYtGkTRo8ejdjYWPTt21evevQKjupT6BkqlV5ycjJWrVqFy5cvQy6Xo3v37pg3bx7Cwhr/opk8eTISExO1PhYdHY13332X1TZqC4Kkkgo8eY+6tqYMIjPtazUwjBI5qWdgYesBSVktxDbN30G272ILkbUQt/clI+Xne+g+MQjdJwZCaPn0FuJtON9I7OwOntAw8yac/O00thUkl8BigBtST2YibvFFhM9u/aKL2khyM1H050lUpt7SqbxZRx9YBbKXwjfrehHilt9E7u26u3RdBrs2eXe2slCCzCtFyLxSiNzbJfi/n20hFLbdLwmuWIDSP+8g7fMDELrawiLAE+aBnrAI9IS4gxM4PN0utHjmInT6dAIe/vsXVD7QfiNGXlWOyqpyVKY9kc2Sw4XIzqkuYKoPnJzcILC2M+jQPI2eI5aH1QUOsMf+/97DpV/zYWbFQ3CEE0JHO8Gvrx14/Lb7fmATwzA4sfI2bvxSdzFfWyGHUq6EXKrEn9/dxfkd96GQab+9bO1qhsgFXeHUxQr5msvmaaWt5wgAkg/dQ8gbQbByZ+970r6zDYQWAkirNBt3/YckKGoVGPh+KCs9OU9yCnHTGhwBQMbxVMirpQj7bAR4otZnjuIKhPB4bSoytqyFrOhxAMvIZcjevQUdps6F0PFxb4VSJkPekf1wGz+x1XVro5TJUHPnDiovX0F1UhLA4aDDJx/rvH/Bvv1QSmog8vKCqKYDLOw9wRc0/53J4fJg4eCF3KTfUXD/PNy7PgMX33Bwn1IWVIZhkJd/HXcf/AqZTPM9bmHhAjtbw2dMbLHmpxgalT7Xt+SxkydPokePHpg3bx66d++OwMBAjXVWBw0ahKVLl2LhwoU4fvy4XvXo9Sn7/fff9apMFxkZGZg4cSI6d+6Mr776CmKxGNu3b0dUVBR27dqF4ODGL0C7du2KRYsWaWxnI423UikHl/v45Wo45wh4vBCsXFqD9Ft1k0h9er2o9XiSykJVmTvPAFbulnAMtIdjgAMcAx3gEGCvETBxOBx49HPHvaMPIK+R4+rmG0g6kIKQt7oj8CU/8ITsJkVQ1NaAJ3p8t0ohlUCSn61Whs31jUrSKyCyFsDcru6LwznAVqPMo9vFSEt4hGt77gIALJ3YvZtWk52Ooj9PoupeC3o8ORy4jBzHyh3birwanPr6Nm7/mqm23bPn4+5hhmFQnF6JrKtFdQHR1SKUZlaplb92ywxhvdr2ZH+3qBEoT7wL6aNSSB+VouR0XSDKNRPC3M/9ccDk7wGeZePPhSsSwOtfbyL76G6Up17TrXJGidriPNQW56ntwxWJ4Tl6Eqw6G6aXjtEYVsfu/xGPz8GwNzxw4Iv7qKlQ4PxPj3D+p0ewtBOg50gn9B7tBJ/eNuCyfPFcT85IUajIgQuvg9Hmf/215R4u7FQfenblf+k4u/kuyvM0F+EFAJ6Ai/5TfDBwmi+E5rp/LSoVyrp1jrQ9Jlfi8uabGPppf90b3wwOlwPnbg7IuvBI6+O3fkyFXKrAkI/CwNXxBoMuHLXMO3pSzh9p+Ov9Y+j/xUgILFp/s45nbgHPSW8jY3MsFFWPkx0pa6qQves7eE2dB75l3XdwZdINVNy4DPvwoRC5erS6bqDuHFublobKy5dRde06lDWP/48te/cGz0q3ESIMw6D69m0oq6pQfeMm6m51cWBm7QwLBy9YOnjBwr4DzG3dtAY9Ni6+KM2+A7m0GhlXf0Ze6p/w7PEsHDqGGPTzVSMpQcrdwyguudtomQ4eA9vmEN423HPUmutbUkfXYGfs2LH44Ycfmi/YiDa3gMD69euhUCiwceNG2NvbAwB69+6NyMhIrF69Gtu2bWt0XwsLC3TvbpiehJLcJOQ9PA9n776wdw+CQKR5N1AqqUBh5jU8vH4YstpKdO6pOS+qXmWJepBRkVOJipxKPIx/PCTIyt0SjkEOcAywh2Ng3W+Pvm64d/TxF7+ktBbnV1/CrT1J6DUjGF2e7cTal2Le2V9h7uED24C6tLQ1uRkaSQjYXN9IKVfiu8gjcA6wg3e4KzqGu8LcQYzqoscXNBc23VHLPmXBUnAkKyvBo1/3o/qB5lpZzbHtPQAi59alMpdJFEjceQ/nNqdAJlFoPC405+PirnvIvFKErKtFqCrSXEz0SWcvSPQKjk6drcHAvmIIBIb/ghE6WsP5lQF4tPO02nZljRSV19NQeT1NtU3k5QiLv3uWzAM8IfKwV/ti5vL48BwzCTlCIUpvae9Bbg7fwgoeoyfBsoOvXvvrouGwOkOk8u7/oit+XZeOmnK5altliQx/7s3Bn3tzYOMsRK9RTug92hnePaxYvcDhc4QoUeThnvQafIQ94MrzfqpB0pUD6fg9VjOD29GlN7WUrtNloDNGftANDnrM56sploBRNH6rOvXXB+j5VjfYeLE33Nqlh1OjwREAJB++D4VUgeEL+7My1A0A7AKdwBVwoWykxw0ACi7n4Ow7v2LAymchtG590C+wc4DHxLeRufUbMDKparuspAjZuzfDa8oscEUilF0+BwAo/usU3F6c1Ko6ZYWFqLx8GZWXr0BeVKS1jPVA3YeSyYuLoayqarCVQU15HmrK81D48BKAul4iczt3WNp3gIVDB1g6eEFs5QhrV/VzUW1VCe6f243c5DPoEPIcbFzZPVcxjBKZ2efwIO0klMrGu06FQku4OPdgtW7WtOE5R625viUtExAQgC1btui9v97BkVwux9WrV5GXlwe5XN5ouZZktGMYBnFxcQgPD1e9cQBAKBQiMjISO3fuRHl5OaytdRsLziY7t0A8uPoTUi/sBF9oAaeOvcHh8sA8sXBddnI8FPLHF62Wdo2vJl5ZktnoY/VUAVNcumqbmb32L53KR1X4Y1ECbu68jdBZPdFhsGerL3o4PD6yju5EbdEjOIePRFX2A40y5iz2HDn42MB/ZAckH01H3u1iXPhOs/emYVpeCyd27rwLbOzgHPkCym9cRPnNS5BXlDe/EwCemQUch4zUu16GYZASn4PfV95CWY724TkAcOKL5uc8PensBQliZra8PR8sLkJpmRJz37bB3Gnah4SygWEYKGtlsB0YiMKfEyEva/y5A0BtZiFqMwtRfOIaAIBnZQZzfw9VwCSUWYIrEME98hVwhSIUX/mzRe2x6OAHz9ETwbdg7yK2+loK5EVlsBoWCg6XC0YuByNTP1c2nHOkrJWCK2r6zvuv36Qh+VwJhGIehGbcut9iLgRmdb+FYi4cPcTILK/Uun9ZvhSndmTj1I5sOHiI0Xt0XaDk4W/BSqDURRiCR9UPcbP2LO5zbjy1ICkpLge/LtH9c2LrYY6R/+4Gv6Euej/vhpnqGmIUDC5vuoHh/2VvboZrI/OOnnT3WBoUUiWeWRIOnqD1Iwp4Ij7sg5xReL3xoAwAiu/k48zsIxi4ejTMHFufCEXs7gn3V6Yge/cWtZn2tTmZyD2wA47PjEFNet33UsWta3AcMRoCW/vGDqeVoroaVddvoPLSJdSmpTVZlm9vB0VVFSqvXIVSUgOlRFL3U1MDZY3k8d9/b1NoBEbaMUoFqooyUVWUCdz9CwDAE4hhYe+JujUt1L/3qkuykXxqI2xc/eEVMgYWdq1fZ7CiMhfJdw+ioiK72bKe7v3URtK0KW00W11bvr5tixQKBbZu3YqTJ0+ioKAAtra26NKlC4KCghAYGIjAwMAmXyuhUIjw8HC969d7Edjp06cjLy+v0TL1WZNaEhzl5OSgoqICvr6ad0N8fX2hVCqRmpqK0FD2U6Q2h8vlw9k7DNkpv0MurULu3T80yjwZGHE4PJhbNz4UobZav8xrNcXah4XUK3lQhpMLTsO5uxP6zOkJt14uetUDQDWkruDCSdQWPYK8Wv1iS2BjD4Hl4wtoRW0NGKWyVdnB+s3oitQTGVDKdRs4bOHI3rA6kaMLnIY/B8eho1GZchM5B3cCyqZvQzkOGw2ens83P7UMJ5ffQMalQr3214bDBVwCbBGix1zhikolbtyRQqkEPvuyGPZ2XEx8selgQaFgUFauREmZEiWlCpRfuQ9FhQSKyhooKmogr5So/pZX1EBRKYHi79+MXLOHTFeKihpUXLqHikv36jZwuBA7ucPcszMcQoeDJxSj4PxJnY7F4fFgE9ATPDN2M4sJ3JyQ9+UOVJy8APvJYyD00vws1merk2bno/y3c2BqZXCa+VKTx310vxoPrugWvDenKFuCE99l4sR3mXDpbI7ez9YFSq6d9X8tBBwRfIQhSJYmopopfypB0sMLBfjpgys6Zarii7gYEOWL8Le6QCBuXeCgLRlDQ3ePP0TPt7rCrrNtq+qq11hShoYexGfgN6kCkcsGgS9qfYDkEOzWbHAEAOUPinFm5s8Y9PUYWLi3/kLPwjcQLv96BXmH96ptr7qbBEnOEzcZGSVKzp2B87Pjmj0mo1CgJjkZFZcuo/r2bUCh27lIXlyCvM36341uCYVMgvK8e02WKXuUgrLjqXD07gXPHqMgstCcp9tsPQoZ0jJOISPrTzA6fIC4XAHc3dru/BhOG+05asvXt23RmjVrsHnzZjB/j1bKycnBnTt38PPPP6tuZrm5uamCpdmzZ7Nav17B0RdffIFHjx6hT58+CA4OhljMzt37or+7se3sND/g9duKGunqBoCSkhJ8+OGHOH/+PAoLC9GxY0e8/vrrmDiRnYmaLp36IjvlFHSZ8Wdu49rkxMmA/lMgrSlHZWkWzLtdRsGdIhQlFzc6fr2l8m8W4NcZJ+AZ7o4+s3vCwa9ld9MAgPvEfKPye5rDUkT2LihLvY7q7Aeoyn4AeVU5fN/8sFXttvWyRNC/OuHWT5q9VA2Z24vAE7B/oaWU1KD43O/NBkYiV0/YhLQ8E0p1SS3+WJeEa/972Oq0o3wxD+7d7ODVywFevRzh3sMOIgsBPnVqWU8TAFy4LFE95U8X2DUbGPV+Jgu3kqQNRlrubay4QYkcnGET2Au2gb3Bt7CC84BnwRWKkPfHL83uyygUyDmxD4WJ8XDqFwGbwF6sLGrMd7YDz94a0oxHeLR0C8SBmr2s0rRc5H6xFZKbdRdBzu82f66Sahl2yYa8B9U4ui4dR9elwyPAAqGjndHrWSc4erb8BoQn3w9ZslRUMqUAYNAgKedOKfbNT2w0ycKT3Lva4sUVvWHnyU5698aSMahhgEubbiBi2WBW6hRZCWHX2QYlD8qaLZv+ZzaOv3cGI78aDIG4dXf6HUPckLLjqk5lq3LKcTr6MAatGQPrzi3/7mnIpmcY5GUlKDr9m9p2RZX6DbuyKxfgMCQSPHPN/1+GYVCbk4ny65dQfvuqluFupopBYdplFGVch6vfALh3HQG+ULebGyWlD5B89xBqahq/rmrIzaUnhIK2szxCQ5w2mpChtde3/zRHjhwBn8/HmjVrMHjwYFRUVCA1NRXJyclITk5GUlIS7t+/j5ycHMTHx7eN4Oj69et48cUXsXTpUlYbI5XWjSvWtmZSfTYKiaTxnpOsrCxERkZi5cqVKC8vx969e7F48WJIJBJMnTq11e0TW9jD1sUfpXnJzZZtakhdPaGZNezNghD09uOhNlUF1ShMKkJhcnHd76Ri1LRitfWshBxkncuBT6Q3ekeHwNpT92FDTyZj0KbyYRIqHz4e3+/+zMvN7qOLvm8HIemXumEhTWFrvtGTZOWlyNq9EdLCxntF6zmPHAcOV/cLPIVMiSv7H+DshmRIKnRMhdWA2EYAr54O8OxZFwy5BtqyFiAmXJSAwwHWf+mIqRObv+PL5WhdB/ep4VmKYTukK+yfCYYgs6vG0CjHPsPBFYqRG/c/6HJDQ1paiOzje1BwIa4uSAro1aL/34Y4HA7E/t6oOncDACBJ0lwjrOL3i6p/cy3NYN7Tr/l2Sgx/azQ7uQrZyQ9xeNVD9Bvnghfea9laZlwOF/6iPrgsUe+9YztIKkqrxO6Z5yGt1i1gzE0qxcW9aRg6y79FiRca09ywunoP4jJQmFIMR//WBwpAXe+RLsERAGSez8XR+acxevUQCMz1T3ft0M2l7kOvbPyzJLI3g9jeDAIrEQSWIqQdTUG3GWHgsjC0z35IJOTlZSi7cr7RMoxMitLEs3AY+nios6y0BBU3L6P8+iVIC7WnbzcaDhedw15GZXEmqooyUF2aqzZUvyUYpRy5yWeQ/yARHkEj4OI3AFye9v9vhmGQlnEKD9PjW1yPp4f+Q5WeijY6rK6117f/NOXl5Rg0aBBGjKhbO9Le3h79+vVDv379VGVkMhnu3buH5OTmr8lbSq9vB4Zh0KdPH7bbApGoboiJTKZ54Vj/xmpsUdm1a9eCz+erpRcfOnQoJkyYgNjYWEyYMIGV1OOunfvqFBxZ2DYfHGndz8kcFk7m6DjYS7WtPmDKSshB0v9SW35QBrj/WxoexKUjcLwfQqZ2h7lD84FFSwIdsZM77Lrpl0++ISsXc/R4uQuu7mr6ubIdHEmLC5C561vIy7QMeeRy1XqSrLv1hrmX7vOtHvyVh7ivbqLoQUXzhRvR7y1fDJ3XlfU0vfUSr9Ri21pnvDZet8+Jna0RspFxObDq1Rn2I4Jh3dcXXEHdKUyepf01sQ8OB1cgRPbxvTqvDigtKUD2sd0oOB8Hp/4RsPHvqXeQJA7oqAqOmmPRtzs4/OZPyd49rMAXcCGTKCCVKCGt+fu3RAFZjRK1NYpW9Ug6eIjh19cWfv1s4dfXFrbO+iWNcOC5wZnXAfmKDI3HngySeogGw5rX8qChPK8GP8w4h+oSafOF/8YogfM77iM5PhfPLQxG535OLa73STr1HP3t0sYbGLVqaKvqq+fa3RHJh+83+jhfxEPHQR4QmPEhMBdAYM5H3s1CePZtOutcUwQWQtj6OqA0pfFhwJ7DfRDyLvtr3zAKBSQ5meBZWQOcpu/KlCaehV34MHCFQihlMlQ/vAtpUSGYZkYC6IsjEIArFtf9mJn9/VsMjtgMvL9/12+zyxKDLzQDTyAGTyAGX2AGntAMTp3rrqeUCjmqS3NQWZSByqIMFKVfa/GqpgppDTKu/YJHqWfh2eNZOHr31GwzhwPvDsPg4hyM0tIHKCl7iJLSB5BKm/5+crD3h4V56z4zBtdGh9W15vr2nyggIEA1pK4xAoFANf+IbXoFR126dEFBQQHbbYGTU92Hrri4WOOxwsJCtTIN2draamzjcDgYMWIErl+/jnv37iEkJKTVbbRzDYTQzAbSmqbv2unSc6QrCydzmNmJcWuPZhamlmAUDO78mILUX+6j22uBUJgFNBkA8US6D5d0HfpCq+6yN9QnKgC3Dj6ArLrxZB9spvGWPMpG1p6NGsM0AMBhyCgoqipQeqluoixHKILTiOd0Om5xeiXiV97EvTPNj9VvTuLOe/AZ6IoOobrNOWgJhmEQM9MWwwfp/pra2TZzN5gD8CzE4FmZqX7zrcTgWZqBZyUG39IMPEsxyhPvouxc01kCRR4OsH+mB+yGdYfAoWVJE2yDQsEVCJH1604wT8wtENo5wcy1A8qSr2i92JKW5CP76C4Uno+DU/9IWPsFt/g9Lg7QPYC2HBSiU7nn3226F0dSpcBnoy6golC33kkbJ6EqEPLra6vXMLrG+Al7o6AmC0yDKxYu+PAWBMGN3xkW3JbPS6kpk2JX9HmU5erXq15VVIuErfdg6SiCcxf958U0N+fIpoMVyrMqwSgZpP+RhfzbhXDu2vrPr0uPpi9Q5bUKdHvFD+6tmHOqjWOIW5PB0YODt9Hp+UDYsDCUDgBqstJR/Gc8atLuQVmr2111RXUVyq9dhG3YAHAFAtj0DINNz7o5MvKKctRkPETVoweQPHwAaXZOi7u/nd+cAqGbmyog0uWGRr3mXhUujw9Lhw6wdOiARyl/oijtSova9iRpdSkenN+DR8ln4OsZCQd79bkuHA4H5mYOMDdzgJtrb9xO/hH5BU3fyOngOVDv9jwtbXXOUWuub/+JJk6ciE8++QRFRUVwcHBofgeW6RUcTZ8+HZ9//jnGjx/PaqNdXV1hZ2eHlBTNC6WUlBQIBAL4+WkfdqJUKqFUKsFvcKKq76asj9pbi8PlwcU7DJlJjU/25nB5MLdxZaW+epc2XEPupeaHemltD48DMwczmDuIYeZgBjMHMwAMKh4mwca/8fUSuGLdLpKsu3SHpVcXvdrWGHM7MXq+7ovEzY0HhGxlqqvOeIDsfZu1fvk6jxoPu9CBqLyXpAqOHAZGgG/VfCa3yntJOPLzJVQXS2FmK0RtpUznRBPaKOUMfnrvAqb8MAR2XuwuwMzhcFoUGAHAS2Mt0CNICHtbLuxsebCz5SLm0ai/gx8z8MxFzS7myiiUyNujPbMc11wE20FBsH8mGOb+7q3KpGbt2wMdXpiGjMPfg5HXBQ08Mwt4jp4Ip34RKDh/AmVJV6Ft+F1tcR6yft0J0fkTcOo/EtZ+PXQeCibwcALXwgzKqqYv4vku9hD5dmjx89Imfmtmk4GRhQ0fvn1t4d/XFn797ODSycxg65WYc63gLQjCQ5n6YspKyCHgiPQKjKTVcuyefQEF93XvhRWIefDqaY+OoQ7w7uMI967sDEd9sufIwc8ORanqvc69p/eAV393ZJ3PRcZf2bi1LwXDF7c+OLLztobQSghpxd+9ZpoJzZCw5gpe3DaK1Z5mxxA33NtXN/+UK+Sh42h/PDz0OKsoo2Bw/esEDFozhpX3lNijAywDu6MmQ3NIalNKEk7Bpnc/cHjqN3D4Vtaw6hoMcb+6JT+UEgkk6emoffgQkgcPUZueDqaJ7LsAUHXtOiwMtGRIvfL8+0i/eoSVY0kqC5Fy7zBcnYPRscNQ8LiaQ+0epMU3GxhZWrrB1oa97LQG00bnHLXm+vafaMyYMfjzzz8xa9YsrF27lpX1SltCr+CIy+UiNDQUI0eOxJgxY+Dt7a11HCWAFidDGDlyJA4ePIiCggJVFF1dXY0TJ05g8ODBsLDQnAiYkZGB0aNHY/Lkyfjggw9U2xUKBeLi4lQpANni7B2GzKQ4NPYpNLd2YzXNZdqpDNzYcVtju8hGpBbwmDuYwezvv+v/be5oBpG1SOsX5Pk9mt3tT9JlWB2Hx4Pr4H/p/mRaoNdkf1zffx+15dqHzbDRc1R57w5yDmxXXTCrcLhw+9drsO7eGwBg3tEHHL4AfGtb2IXpNrHasksgxv9nqOpvhmEglyhQWylHbaUMkgoZaitlqr9rm/hbUilTbftx3nm8sWMIxFb6zx9gw8v/0gzQzC+3bBHGiiv3Ic1/oheWA1gGd4L9iB6w6e8Proi952jp7Y+OL85AxsHNUEol4KDuMyGyd4bn6Elw6vt3kJR8DVqDpKI8ZP2yAyIH1797kppf54PD5ULs3xHVV5oeims5IISVi8my/FrEbVVfJkBkzoNvH5u/e4fs4OFvYbBFYLXpJOiOHPl91DI14IALBkoIOWZw4rV8wU6FTIkfYy4i+0bT2T4NFQw9iWEYVOVXg8PlIDQ6GN1fD8DWIfvU1j0qSimB76hO6DLSG11GeoNRMqpMrq3B4XLg0s0BmedyAQB9Z4cg7Y8s5N143KtTcKcYd4+nwW80exe0jj0e3/QLiuoN31d7oOBKDiozSh/XeykbOX+kwWNI6+vlcDiwCekDS78gFJz8BeVXL+i0n6y0GJVJN2DVrenvOK5YDHN/f5j7+wMAGLkctdnZkDx4gNqHaZA8fAhltXrvYNW1a5AMCIe4c8vm4emqtqoUd8/uaHQ4HYfLh0BsCb7IAgKxJQQiS/D//i0QW6o9xhdZgscXwiK78XXxch5dRnrm6Wbb1WYXfW2A04YXgdXn+vafbPr06YiOjsbYsWMxfvx4DB8+HF27doW5ObuZZbXR6wp+9uzZ4HA4YBgG+/bt0/qBqf8CaGlwNGvWLBw/fhzR0dGYO3cuBAIBvvvuO9TU1CAmJgYAkJiYiDfffBMLFy7EhAkT0KFDB0RERGD79u3g8/kIDw9HdXU1du/ejdTUVCxZskQ14Y0NInNb2LsFoThXM2AB2B1Sp1QoUZlXhYH/1+/vgKeuB0hsL2Zl/Yqm8ITNBx8OvYZAaGuYLk+xlRChU/zx11rtCzhaOrcuOCq/dQW5P+/WyErH4fPh/uIUWPp2VW3jCoQw7+QL297h4LZgGIXacTmcujkAZnxY6tnrxTAM5LVKPMV1NQ2q8NfLAAChmx3sR9QNmxM6G259JQvPzvB+ZSbSD2wCGpy2RA4u8BwzGY79IlBw7gTKU65De5D0qC5IcnSDjXIozEODmhxuJw7wbj44Ghiix7PR9Ou6dDAKwL9f3Zwh/7526NDV0iBZHXXF5wjgK+iFW9K/4Mrzhi3PCbY8Z5i3sNeIUTI4/PFV3E/QHNL9NIKhhiSltRBbCzFi6UC4h9YFDbYdrdUSJRTdVQ/i2OzFce3hhMxzuXDp7oiQyYFw7+2Cg2+pZ3M7v+4aOg33anWmunoiWzNYeduBJ+LB97VgcPlcBM/rj78WHFMrd2PtObj28wJPxE69PHMLuD4/AdYhfZD/y4+QFjQ/iqL4r1Ow7Nqymw4cPh/ijh0h7tgRGAYwSiVk+fmQPHwIycOHqH3wEPKSEhQdOgz3d+azOpRc1e7MG3Ds2OvvgMei7vcTQRCPL2ItSCkuuY+Uu4c0tjs5doNIZI2s7AQAgFBoBWcnPdaHMIK2OqwO0O36ltQ5c+YM5s6dC5lMBoZhsHXrVmzbtg0cDgdeXl6qFN71v9keeteq4MgQXFxcsHv3bqxYsQIxMTFgGAYhISHYsWOHqveHYRgoFAoon7ioXb58OYKCgvDjjz9i69atEAgECAoKwoYNGzB8+HD229m531MJjrg8Lrq9yv5kM53qFomgdbzG3/jmVnDq+4xB2xDyqi+u7r6L6iLNIW+tSchQcvkv5B/7CQ2fG1ckhscrU2He0UdjH6fhz0HkxO5wyZbicDitXpulrZCVVEJgbwmfZZNhEeT11O5Kmrl4wfvV2Sg4d0Lr42IHV3g99wYk/R6h4NxvKE/Vnha9tjAX+Wv2QNjRFfavPwuz7tp7p0UB3k22R9TFCwLX1p/YlUoGYWOd8fJHXSAQta3o2Y3fGZnyFDjxPeHK927x/gzD4PjyW7h1rG6BSmMEQw1xuBy8uHuMWnIbB1+7JoMjNrl0dwRfxMPwz/qDy+PCtbsjukR2xL0TjxcNr8qrxo1dyeg9lb0LW+dQD3g/FwAuv+71du3fAa4DOuDRX48Tb1TnViB1zw0EvtmLtXoBwLxjZ3Sc8R5Kzp1B0ZkTmj3+T6jNzUL1g7uw8NF/qBKHy4XQ1RVCV1dY9+8PAJCXlELysC5IEhhgLoRbADsp35tTVZWPW3d2a6xtZG3lhSD/l1ArLVMFR57u/dvuoq8NtdFhdYBu17ekzqpVqyCVSjFs2DAMHjwYlZWVqjTeaWlpSE9Px7Fjx8DhcMDhcHDnzp3mD9oCer3b586dy2ojGvLx8cG3337b6ON9+/bVGLcpFArx9ttv4+233zZo2+rZuvhBZG6ndTFXCxaDI2PicLjgikSNToR1GTgaPCE7834aIzDjI2xqIE5/qbm+hj7BEcMwKP4rDoWnj2k8xjO3hOfr0yF21f7/Z+zAqL0R2FnCa55uiS3YJnZwhcfICU2XcXSF19gpkBTkoOD8yUaDJGn6IygqGp+YL/J2B0ckAFOr/UJO10QMzeFyOegSasvKsdjG4XAQIAxrcW9RvfM77qMorRLD5gYYLRhqSGyjOY/Vwc8O935LU/1dUyRBdWENzFlcrLqeSzdH9JvXE7YdH7+mfeeE4OHpTLVlEK5su43A531Ya0PX6X0gsFAfRt9jbjjyLmSBkT+uN2XnVXQc7QdzZ5bnR/L5sB80AlbdQpD36/9Qfa/xXtmSv35vVXCkDd/OFpZ2TQ/Xa+uk0kpcv7UDcoX6d7tYbIceXSeBxxPA3MwR9na+KC1Lg0cbXvS1obbccwQ0f31L6qSlpak6OBqqra1FSkoKkpKScPv2ba3zuFpLp2+Xr7/+mpXKdD1OcnIypk+fjt69eyM4OBiTJk1CYmKiwfbTB4fDhUunfprbuTyYW7ObIciYGpt3JHb2hG1X9tO5a9NtfGdYuaqPMeXyOTC3a1mSDYZRoiDuZ62BEd/aDh2mzGk0MCLtD1eg2/tH7OQOr7FT4PPGAlj5ak7EFng4w6Jf43fmOXweRF0aSbbA48GiX/Nzl9oDG54jBBztc1ObwjAMwl7vjEkb+2PQ237wCrE3emDUGAc/zQUeDdV7JLQUoNsr6hf+1u6W6PFagNo2eY0ciRt1Syevi4aBEQBYednAd4L6Z0MhkePWet3mCOnVDjsHeEx8G24vT6lL8a1F9YNUSHKyDNYGU6RQSHHj9k5IatXfl3y+GMHdpkAofBzMerr3hbtrbwgEppNimqM0zg9hl6OjIzp10j5vUSQSoUePHpgwYQIWL16Mffv2sV6/Tt8w3333HaZNm4ZHj/RLR5ybm4upU6fiu+++a7ZsRkYGJk6ciJKSEnz11Vf49ttvYWlpiaioKFy/rv3ObWv2aw1n71CNrFXmNuwmYzC2xoIjt6EvsLbCfXP4Qh76TQ9S22bhaNai8fuMUoFHR/ah5MIZjceEDs7oMGUOhA5PNxsKMS1iJ3d0+Ndb6Dz5PVh1eRwM2Y4f1uzcA3FAR63bzUP8wLMy/ORSU8bhcNpsMNSQ1uAo1XBD67QNRe35VleIbdUD/+TD91F0z3DtAICAKb0gdlB/L2eevIfC67kGq5PD4cCqazC8Z38I27CBdWsgNVCScMpg9ZsahlHiTsoBlFeoB4wcDg/dgyZqrGHkYO+Pjl5PZ5gfIU+KjIzEjRs3ml3ryFB0+sZZv349rl27hoiICCxatAhZWbrdicnKysJnn32GyMhIXL9+XWv3mLa6FAoFNm7ciGHDhqF///6IjY2Fo6MjVq9ezfp+rSEUW8PeXf2OsaWei7+2VVwtwZG1XzAsPA2Tqacxgc95w67j4/VtLBx1H84nr1Ug53/bUX7josZjYjcveE2ZA4GN5kUNIdqYOXugw/NR6DwpBtYj+8Oib/PzOcSNzDtia0gdaRvqs4Q+yZDBkTYiSyH6RKv3RjJKBgmrrxj0QkNgIUS3mZoLgV9fkwBGYdhb6zyxGM6jx6PDtHcgclP/Dq64fQ2ykiKD1m8qqqryUVSsubh6gN842NlqfqdzOFyIRIZLkGMI1HPUPsyaNQtKpRLr1683Sv06BUeDBw/GwYMHERwcjD179iAiIgJjxozB559/jj179uDEiRM4d+4cTpw4gT179uDzzz/HmDFjEBERgb179yIkJAQHDx7EoEGDmqyHYRjExcUhPDwc9vaPl0sTCoWIjIzEhQsXUF5eztp+bHDt3F/tbzaTMbQFDXuOODw+XAeNfert4PK56Bf9OHucrvONZDVyHJ73JypTbmk8ZtbRB56TZoJvzu6YePLPYObiCYcpz+mUsUrUxQtosOYT11wMsxB/QzWPGImDr/qNFkMmZWhM0AtdYNdJfahZ1oVHyEjIMWi9HUb6wj5IvQe+NLUQD39pOlsjW8QeXujw9jtwenYcuMK/e88YBsUJp59K/W2dpaUregVPg1Dw+DvPu8MwuLmY9hwqNUoj/RBWzZo1CwEBAfjmm28QExOD+/fvP9X6dR7/5eXlhR9++AEnT57Ejh07cPXqVdy/f7/RNN58Ph+hoaGYMmUKnnlGt4xmOTk5qKiogK+vr8Zjvr6+UCqVSE1NRWhoKCv7scHayQdiS0dIKuvWl2jvwZFj6FAIbdhZ/byl/CK8cHFrMgpTS3VO480X8WDpolnW0q8r3Ma/AS7fuGsFkX8GrkgIUScP1N57vAaRRd9u4Arp/dfeOPjZIev846FkpenlkEvk4LOUTlsXXD4X/ef3wtF3TqttP/f1VXj1dVNlmmMbh8tB8LsDcOrtg2rbb2+6CM9hPhBas7MYe9Nt4MKu7yBYBnZHwfHDqLxzHeVXE+EwdCT4FnQjzNrKE717RuPGrR2wtHRHp44jjN0kVnHacLY6oruLFx+P9Dl69CiOHTuGDh06oFu3bmopvO3sDDPqp8Vn64iICERERKCyshLnz59HWloaiouLUVFRASsrK9jb28Pb2xv9+vWDpWXLTkRFRXVd39qebP22+jJs7McGDocDl079kH7zF3C4fJhZt6+MZjzR4yEifAtrOPYx3omUw+UgfFY3/PzOWZ17jjhcDiI+7YPMVEtUptalXrfu0Qeuz70CDrd9pMQmpkEc4K0WHFkOakd3a4lKw3lHjIJByYMyOAUZZj24xnQY4A7Pvq7IuvB4rnDJgzJkns9Fx4EtX4BXV/ZBzug42g/pRx8P35KWSpD0/SUEvzPAYPU2JLC2hfsrU1CZegf5R39CaeJZOA4b9dTqb8vMxHboHTIDXC7fJBZ2bQka4tY+xMfHIykpSZW+OykpCenp6UhPT8evv/6qet+6uLggMDBQp2k7LaH3rSxLS0ude4R0JZVKAdQNh2uofhFXiUQzrbS++7HFuWMoMm4fh4WNG7jt7IL7yTlHLoPGgCc0/J2/pnQa5Aa3Hg6wbEEaby6fC7fxbyB7z3cQubjBKeL5p5ZMgpB64gBvlP3yJwCA72QHkV8jGeyISXNsJCnD0w6OOBwOwt/thR9fPwZGycAp0B7h7/SCe2/DZ1PtFt0X2acfQl5dl76ew+eC9xR7zp5k6RcEc+8uKL2UAEYuB0fPRbzbGz7fsMtwGA0FR+2Ch4cHPDw81OKM+rWO6oOmpKQk3Lt3D6dPn2a9/jZ1lhCJ6i68ZTLN9UDqAyAzM82LYn33a+ivAwt0b6yGha3Y10h0GmX4rqFb0WJr9Eg+uLongC/+zXpbmtf2Xj9DumacZYsAY9XbEq8BWLGDhQN9xMIxWm5WpVGqNT29gX1tZWhPb2Bf08t5GU6Vju/1cMM2g/yz0LC69svS0hKhoaFqU2QUCgUePHjAel1tKjhycqpLI1lcXKzxWGFhoVoZNvYjhBBCCCHtBPUc/aPweDyt+QZaq00FR66urrCzs9O62m1KSgoEAgH8/DRXu9Z3P0IIIYQQ0j7QnCPChjY38WLkyJFISEhAQUGBalt1dTVOnDiBwYMHw8LCgtX9CCGEEEKI6eMwxvkh7UubC45mzZoFMzMzREdH4/Tp0/jrr78wa9Ys1NTUICYmBgCQmJiIoKAg7Nu3r0X7EUIIIYSQdorWOSIsaHPBkYuLC3bv3g0nJyfExMRgzpw54HA42LFjB7p06QKgbh0lhUIBpVLZov0IIYQQQkj7RD1HhA0chmFa/N968eJFeHl5wdW18TV9bt26hV27duGLL75oVQMJIYQQQghpTvA7q41S7/U1/6zMtO2dXgkZJk+eDGtra6xYsQJDhgzRWiY7OxuHDh1qE8GRXC5HbGwsNm3ahGeffRarV2t+eBQKBTZt2oSDBw8iJycHDg4OGD16NObPnw+xuOn1AFqzb1v14Ycf4uDBg40+PmfOHMydO1frY2vXrsU333yj9bFevXphz549rLSxrbhw4QLeeOONRh+/ffs2+E2srVFTU4PY2FgcO3YMhYWFcHNzw/jx4zFjxgxwuW2uc7fVKioqsH79evzyyy8oKSmBu7s7Bg8ejNmzZze52vVPP/2E//znP1ofc3FxwR9//GGoJj8VycnJWLVqFS5fvgy5XI7u3btj3rx5CAsLM8h+piwhIQFr167FnTt3IBKJ0KVLF8yYMaPR7yMAGD58OLKzs7U+tmTJErz88suGaq5RTJ48GYmJiVofi46OxrvvNn4xl5iYiNjYWNy6dQtcLhehoaGIiYlBQECAoZprNFlZWRgxounFzbUlewIAf3//RvfZunUrwsNNP095cnIy3nnnHTx8+BBHjx6Fj4+PxuP6nn8Mcu6iIW6EBXpnq6uursbMmTMxf/58zJgxg802sSo3NxcxMTHIzMxEU51kS5Yswf79+zFnzhyEhYXh7t27+PLLL5GWltbsyrut2betmjNnDiZOnKix/datW/jss88QHBzc7DEOHDigsa09J8ZYtGgRunbtqrG9qcAIAObPn4+LFy9iwYIFCAgIwJUrV/D111+jqKgIH3/8saGaaxQymQzTpk3D/fv3MW/ePAQGBuLWrVuIjY1FYmIiDh48CB6v6YWUN2zYoJGav36xZ1OVkZGBiRMnonPnzvjqq68gFouxfft2REVFYdeuXY1+3vTdz5T9/vvvmDlzJgYPHoy1a9eCYRhs27YN06dPx5o1a/Dss882uu+wYcMwe/Zsje0eHh6GbLLRdO3aFYsWLdLY7uzs3Og+ly9fRlRUFPr3749169ZBoVBg/fr1mDRpEg4dOgRPT09DNvmpc3Z21vpdBQCffvpps+eWV155Ba+88orG9k6dOrHSPmPatWsXli1bBhsbG62Pt+b8Y6hzF2WrI2zQOzj65JNPcOzYMaxZswZ37tzBsmXLdFpo9Wn797//DR6Ph4MHD2LgwIFay2RmZmLPnj2IiorCzJkzAQC9e/eGUqnEokWLcOnSJbVFp9jaty3z9PTU+BKsf05Dhw7F4MGDmz1G9+7dDdW8NqlTp04tfs4XLlzAmTNn8Omnn6qC0d69e6O0tBTff/89oqKi4O7ubojmGsXvv/+Oa9euYdmyZRg3bhwAoE+fPpDJZFi5ciUSExPRv3//Jo/h5+fX7i7Q1q9fD4VCgY0bN8Le3h5A3fsgMjISq1evxrZt21jdz5StXr0a3t7eWL9+verCNSwsDEOHDsXOnTubDI5sbW3/UeclCwuLFj/fNWvWwNHREevWrYNQKAQAdOvWDcOHD8eGDRuwdOlSQzTVaIRCodbX6Pfff0dSUhL279/f5P7Ozs7t8j2VmJiI5cuXY+HChcjNzdU6GqQ15x9Dnbto/g9hg95jduzs7PD9999jypQp+O233/Dqq68iKyuLzbaxYsKECdi2bVuTi8DGx8eDYRiMHTtWbfuYMWPA4XAQFxdnkH1Nzf79+5GcnNzo0CbScidPngSHw8GYMWPUto8dOxZKpRLx8fFGaplhdOnSBUuXLkVERITa9vrhOrm5ucZollExDIO4uDiEh4erLhKAuou2yMhIXLhwAeXl5aztZ8oYhsHMmTOxaNEitTv6ZmZm6NixIx49emTE1pm+0tJSXLx4EREREarACADs7e0xYMCAdvV91pTa2losXboU48aNQ48ePYzdHKOwtbXF3r178dJLL2l9vDXnH0OeuzhK4/yQ9qVVExq4XC4+/PBDrFixAunp6XjppZdw7tw5ttrGiueee67ZYU0pKSngcDgaY2ltbGzg7OyMpKQkg+xrSmpra7F27Vq89NJL8Pb2NnZz2o2UlBQ4OzvD1tZWbXvnzp3B4XDazfunno+PD1566SVYWlqqbX/w4AEAoEOHDsZollHl5OSgoqJC6yrfvr6+UCqVSE1NZW0/U8bhcDB69Gj069dPbbtMJkN6evo/8v3DptTUVDAMo3XR9C5duqC0tPQfcQNjz549yMvLw/z5843dFKPx8/NDUFBQo4+35vxj0HMXpfImLGBltvfYsWOxZ88emJub4+2338bWrVvZOOxTU1RUBEtLS7U7ZfXs7OxQXFxskH1NyYEDB1BaWopp06bpvM+aNWswatQodO/eHUOGDMHnn3+OqqoqA7bSuI4dO4YXX3wRPXv2RFhYGObPn4/09PQm9ykuLtaahEAoFMLS0rLdvH+akpeXh2+//RYBAQHo3bt3s+V37dqFsWPHIjg4GAMGDMBHH32EoqKip9BSw6hvu7b3Qf02bc9P3/3ao7Vr16K0tBSvv/56k+UyMzMxd+5cDBw4ED169MD48eNx9OjRp9TKp6+kpAQffvghhg4dim7dumHMmDHYtWtXo+XpPQVIpVJ8//33eP7555vMyFvvzp07mDp1Kvr164fg4GBMnDgRCQkJT6GlxtWa94oh32eUypuwQe85Rw0FBgbip59+wjvvvIMvv/wSHTt2ZOvQGmQyGTIyMposY2Vl1eSk0yfV1tZqDW6AuoneZWVlBtnXGPR57eRyObZs2YLRo0e3aK5Hbm4uPvnkE/B4PJw6dQo7duxAeno6Nm7cqHf7nyZdX6t6ycnJmD59OpycnHDjxg2sW7cOV69exa+//qpW7km1tbUwNzfX+phAIIBEItH/CTxF+n4mi4qKEB0dDalUihUrVoDD4TRb18OHDxETEwMrKyucP38emzZtwp07d3DgwIFme4nbIqlUCgBazyP1Q8e0vQ/03a+92bt3LzZt2oTx48cjMjKyybL37t3D9OnTERUVhYKCAnz//fd49913weVyMWrUqKfU4qcnKysLkZGRWLlyJcrLy7F3714sXrwYEokEU6dO1ShfW1sLQHuCk3/Ke+rw4cMoKCjQ+UZgcnIyZsyYgblz5yIzMxPr16/HtGnTsGfPnnaZEKVea84/hjx3cZQUqZDWY/VKwtbWFt9//z2+/PJLbNu2TacLHX3k5eVh9OjRTZYZN24cli1bptPxxGIxZDKZ1sekUmmT6bhbs68x6PPanT9/HtnZ2fjvf/+rUx1RUVGYOHGi2ljifv36gcfjYcuWLTh37lyzk+7bAl1fq8WLF+Ps2bNwcHBQpd7u1asXOnXqhOnTp2PLli145513tO5vau+fxujzvsrIyMC0adNQUlKCzZs3ax3K86TRo0dj8ODBcHR0VG0LDQ2FnZ0dFi9ejIMHD5pkOmaRSAQAWt8H9RcR2pLd6Ltfe/LNN99g7dq1GDt2bLPnpwMHDkAsFqvdjBg0aBDGjBmDZcuWtbvgaO3ateDz+WpDWIcOHYoJEyYgNjYWEyZM0BjeWn++0faeqt/W3t9T//vf/xAcHKxTtrmzZ8/C2tpa9VkMCQlBv379MHLkSCxfvhy7d+82dHONpjXnH0Oeu2j+D2GDXsFRfHw8HBwctD5WPw8pNDQUycnJrWpcYzw9PRtdd0Afjo6OqKiogFQq1biTUVRU1OTaDq3Z1xj0ee1OnjwJc3Nz9OnTR6fyFhYWWlN2R0REYMuWLbh586ZJBEctea20JfwYNGgQxGIxbt682eh+jo6Oqvk2T5JIJKisrNS599PYWvq+Sk5ORlRUFMRiMfbs2YMuXbo0u49YLNYaLEZERGDx4sW4efOmSQZH9e8dbUMoCwsL1cqwsV97sXDhQuzduxfTpk3DggULmr0Z9+TNmnpmZmYYOHAg9u3bh4KCgnb1ejWcxwjUzdkaMWIErl+/jnv37iEkJETt8fobDyUlJRr7/hPeU/n5+bh27VqjN7Maauxz2bNnz0bXmGovWnP+Mei5izqOCAv0mnPk4eHR7B3tZ555BnPmzNGrUU9bYGAgGIbB3bt31bYXFhaisLBQ69o1bOxrChiGQXx8PPr379/o8EFt6u/+PKm+m7wlxzEV2p6vXC6HTCZT3SXTJjAwEPn5+RoXI/WTUU39/aNNdnY2pk2bBgcHB50Do3raXuf6oUBNvc5tmaurK+zs7LQGlykpKRAIBFp71fTdrz1YvXo19u3bh//7v//D+++/r9MoBYVCAYVCobG9/rxkqu+fxiiVSsjlco3tTT1ff39/8Hi8Rt9TTk5OJnPDRh/12WebWkz4STKZTOv6iRKJpN29nxpqzfnHkOcuylZH2MBKQgZTFxERAT6fj8OHD6ttr/+7qXUzWrOvKcjKykJBQQG6deumU3mGYRAZGYmJEydqfGmcOHECAHTugTIVH330EcLCwjTugsXHx0OhUDS52veoUaPAMAx+/vlnte2HDh2CQCDAM888Y5A2G4tCocC8efMgFAqxdetWuLi46LzvlClTEBkZqQqG6v32228A0LpV1Y1s5MiRSEhIQEFBgWpbdXU1Tpw4gcGDBze6eLK++5myuLg4fPvtt3jvvffwxhtv6LTP+fPn0b17d+zdu1dte2VlJRISEuDv7w9ra2tDNNcoMjIy0KNHD6xcuVJtu0KhQFxcHGxtbbXelLCyskJ4eDiOHz+uNucjLy8P586dM/nvs+ZcvXpV5wvzgwcPokePHjhz5oza9pycHNy6davdfc9p05rzj6HOXRQcETa06+BIKpXi5s2bqh8AKC8vV/1dvy6Ti4sLoqKi8MMPP2DDhg24fPkyduzYgdjYWIwfPx6BgYGqY06ZMkVtAdSW7GuKHj58CABNJmIICgrCe++9B6Bu2MZbb72FGzduYN68eThz5gwSEhLw3//+F3v37sW//vWvdtcbUr9461tvvYWjR4/i4sWL2Lx5Mz7++GP4+PioDfWKiIjAa6+9pvo7ODgYY8aMwZo1a7Br1y5cvnwZ33zzDfbs2YPo6OhGh6+aqoMHD+LWrVuYMGECcnNz1T6fT34mAc3XKioqCnl5eZg2bRri4uJw/vx5rFmzBmvWrEFYWBhGjBhhjKfEilmzZsHMzAzR0dE4ffo0/vrrL8yaNQs1NTWIiYkBULcoY1BQEPbt29ei/doTuVyOZcuWwdPTE3379tV4/9y8eRNSqRSHDh1CUFAQzp49C6BublpwcDBWrFiBTZs2ITExEceOHcOUKVNQXFyM999/38jPjF0dOnRAREQEtm/fjpUrV+LcuXOIj4/H9OnTkZqaigULFkAgEGi8TgDw3nvvoaKiArNnz0ZCQgJOnTqF6Oho2NjYYMaMGUZ8VoaXlpYGd3d38Hg8jce++eYbBAUFqYZBR0REoEOHDvjwww+xa9cuXLp0CYcOHcKbb74JLpdr8mnAs7KyVJ+p/Px8AHUJTZ78nOl6/nma5y7KVkfYYHqpnVogPz9fYwGzs2fPqr4InpwgHhMTAxsbG+zfvx/r1q2Ds7Mzpk6dipkzZ6rtr1QqNYZm6LqvKapfiK2puzgKhQJK5eNbJ6+99hrs7e2xefNmzJs3D0qlEt7e3nj//fcxZcoUg7f5aevatSt2796N2NhYLFy4ENXV1XB2dsa4ceMwZ84ctddO29CeZcuWYe3atfjuu+9QWFgIT09PfPjhh+3ytbp06RIAYNWqVVi1apXG409+Jhu+VkOGDMHWrVuxfv16vP/++5DJZPDw8FB91uqTYZgiFxcX7N69GytWrEBMTAwYhkFISAh27NihusPPMIzGZ02X/dqTR48eITMzEwAanV8WHx+vOk/Xv1Z8Ph/fffcdNm3ahD179uDrr7+Gubk5goODsXPnTp1SyJua5cuXIygoCD/++CO2bt0KgUCAoKAgbNiwAcOHDwcAjdcJqBvqu23bNqxatQqzZs0Cj8dD//79sXr1arVkKO1RWVlZo9919Z+/+hERlpaW+OGHH7Bu3Tps2LABJSUlsLKyQlhYGNatW6d1DR9T8s033+DgwYNq2+bNm6f6d3x8PDw9PXU6/zzNcxdlqyNs4DDaBswSQgghhBBiQsInrGy+kAEk7HvPKPUSw2jXPUeEEEIIIeQfgm73ExZQcEQIIYQQQkweDasjbKDgiBBCCCGEmDxKjkDYQMERIYQQQggxeZRWm7CBgiNCCCGEEGLyaFgdYQMFR4QQQgghxPRRbERYQMERIYQQQggxeRyFaUdHFy5cwBtvvNHo47dv3wafX3fprlAosGnTJhw8eBA5OTlwcHDA6NGjMX/+fIjFYrX99u7dix9++AFpaWmwtrbGiBEjEBMTAzs7O7VyJ06cwMaNG3H37l2IxWKEh4djwYIF8PT0VCuXmJiI2NhY3Lp1C1wuF6GhoYiJiUFAQIBaueTkZKxatQqXL1+GXC5H9+7dMW/ePISFhbXmZTI4Co4IIYQQQojJay9zjhYtWoSuXbtqbK8PjABgyZIl2L9/P+bMmYOwsDDcvXsXX375JdLS0rBhwwZVuc2bN2PFihV466238NlnnyE3NxfLly/H7du3sX//ftUxjx49infffRfPP/88PvjgA5SXl2PlypWYNGkSjhw5AisrKwDA5cuXERUVhf79+2PdunVQKBRYv349Jk2ahEOHDqkCqYyMDEycOBGdO3fGV199BbFYjO3btyMqKgq7du1CcHCwIV/CVqHgiBBC2oA7d+5g4sSJeOaZZ7BixYqnXv8ff/yB6OhovP3223j33Xefev2EENJqjGn3HNXr1KkTunfv3ujjmZmZ2LNnD6KiojBz5kwAQO/evaFUKrFo0SJcunQJoaGhqKqqwrp16zBq1Ch8+OGHqv2tra0xffp0/Prrr3j++efBMAy++uorBAcHY/ny5eBwOAAAb29vPPfcc9i5cydmzZoFAFizZg0cHR2xbt06CIVCAEC3bt0wfPhwbNiwAUuXLgUArF+/HgqFAhs3boS9vb2qjZGRkVi9ejW2bdvG+uvGFq6xG0AIIf90ZWVlmDVrFjw9PbFkyRKjtGHw4MGYM2cOvv32Wxw/ftwobSCEkNbgKI3z87TFx8eDYRiMHTtWbfuYMWPA4XAQFxcHAEhISEB1dbVGucGDB8PW1lZVLikpCdnZ2Rg9erQqMAKALl26ICAgQFWutLQUFy9eREREhCowAgB7e3sMGDBAVY5hGMTFxSE8PFwVGAGAUChEZGQkLly4gPLychZfEXZRcEQIIUa2dOlS5ObmYtGiRRCJREZrx4wZM+Dv74+FCxeiuLjYaO0ghBB9cBSMUX6etpSUFHA4HPj4+Khtt7GxgbOzM5KSklTlAMDX11etHIfDQefOnTXK+fn5adTVpUsXpKamQqFQIDU1FQzDNFqutLQUubm5yMnJQUVFhUa99W1RKpVITU3V45k/HRQcEUKIEd2+fRuHDx/GwIED0atXL6O2hcfj4b333kNpaSm+/fZbo7aFEEJaisMwRvlh27Fjx/Diiy+iZ8+eCAsLw/z585Genq56vKioCJaWlmq9N/Xs7OxUN7eKiopU27SVq3+8uXIymQzl5eXNlqs/lq7l2ioKjgghRA+XLl1CYGAgXnvtNTANvhwPHDgAf39/fPDBB80eZ+fOnQCAadOmqW3/6aef4O/vj23btuHixYuYPHkyevfujR49euDVV19FYmKiWvnJkyfD398fxcXFWL58OQYNGoQePXpg7NixiI+PBwAcOXIEzz//PIKDgzF8+HAsWbIEMplM7TiDBw+Gh4cHfvzxR1RXV7f4dSGEEKNRMsb5aYZMJsP9+/eb/MnPz1eVT05OxvTp07FlyxbMmjULCQkJmDx5MioqKgAAtbW1WgMjABAIBJBIJKpyALSWFQgEqsebK1dfpr5c/TZt5SQSCaRSabPHq29jW0QJGQghRA+hoaGYOnUqvvvuO+zevRsTJ04EABQWFuLLL7+Eh4cHPvnkkyaPwTAM/vjjD1hYWKBPnz5ay1y/fh0bN27E66+/jhdffBF37tzBrl27MGPGDJw8eRKOjo5q5ZcsWYKamhrMnz8f2dnZ2Lx5M+bPn4+YmBjs3bsXEydOhEgkwvbt27Fz5064urqqBWYcDgcDBw7Evn37cPr0aYwePbqVrxQhhDwdbXUR2Ly8vGbPpePGjcPixYtx9uxZODg4gMut67/o1asXOnXqpAqW3nnnHYjFYo0bW/WkUqkqlXf9b5lMppHeu7Fy2o5XX6apcvXbzMzMoFQqmz2emZlZo6+FsVFwRAghepo3bx7Onj2LVatWYcSIEXB1dcWSJUtQUVGB9evXw9LSssn9k5OTUVRUhOHDh6ulaH3S8ePHcfDgQdX6ES+88ALKyspw6NAh/PHHHxg/frxa+fLycmzevFn1d1FREfbt24e1a9eqBVP+/v549dVXcerUKY1eq/rg6NKlSxQcEUJMRltN5e3p6ama19McJycnjW2DBg2CWCzGzZs3AQCOjo6oqKiAVCrV6J0pKipSfV/Un++Li4tVqbifLFdf15PlGioqKoJYLIaVlZWqXElJiUa5wsJCVfvrgyNtx3uyXFtFw+oIIURPQqEQK1asgEwmw2effYbff/8dx44dw/Tp0xEaGtrs/g8fPgRQl7a1Mf3799dYWK9+fYi8vDyN8i+//LLa34GBgQCA4cOHq/UyBQUFAQAKCgo0jtG5c2cAQFZWVrPPgRBC2ow2OqyuJep7Vp4kl8shk8lUCXsCAwPBMAzu3r2rVq6wsBCFhYWqNZLqz/8NAzOFQoF79+6hW7duTZar3xYYGAgejwd/f3/weLxGyzk5OcHZ2Rmurq6ws7NrtJxAINCa1KGtoOCIEEJawdfXF++99x5OnTqF9957D127dsWcOXN02rf+7puDg0OjZby9vTW21Q9tkMvlGo95eHio/V3/ZdrYdm3HqE+9ShnrCCGmhKNUGuWHLR999BHCwsI0zr3x8fFQKBQICwsDAERERIDP5+Pw4cNq5er/fvbZZwEA4eHhsLGx0Sh38uRJVFVVqcr5+fnBx8cHR44cUZtDe/PmTdy/fx+jRo0CAFhZWSE8PBzHjx9XmzOUl5eHc+fOqY4HACNHjkRCQoLaDbjq6mqcOHECgwcPhoWFhX4v0lNAwREhhLTSCy+8AJFIhOrqaowbN07rZFVt6td5aDjc4UktTe3d1CRdXdW3p37yLyGEmASlkX5YUj939a233sLRo0dx8eJFbN68GR9//DF8fHxUIwNcXFwQFRWFH374ARs2bMDly5exY8cOxMbGYvz48aqeIJFIhJiYGMTFxeHzzz/HpUuX8NNPP2HhwoXo168fRowYoar7gw8+QFJSEt5//30kJibi2LFjeOedd+Dj44PXXntNVe69995DRUUFZs+ejYSEBJw6dQrR0dGwsbHBjBkzVOVmzZoFMzMzREdH4/Tp0/jrr78wa9Ys1NTUICYmhr0XzQBozhEhhLTS4sWLIZfL4ePjg9jYWDzzzDNwc3Nrdj9ra2sAbS8IqW9PU0EbIYS0NWz24hhD165dsXv3bsTGxmLhwoWorq6Gs7Mzxo0bhzlz5qj1tsTExMDGxgb79+/HunXr4OzsjKlTp2LmzJlqx3z11VchFAqxdetW7N69G7a2thg7dizeeecdtQVfhwwZgvXr12PdunWYOnUqzM3NMXToUCxYsEDtJl1gYCC2bduGVatWYdasWeDxeOjfvz9Wr16tNnTbxcUFu3fvxooVKxATEwOGYRASEoIdO3agS5cuBnwVW4+CI0IIaYWjR4/il19+wfTp0/HCCy/ghRdewL///W9s375dlW2oMW11vYf69jy5sjkhhLR5RliQlW1BQUE6rTPH4XAwbdo0jYQ62owfP14jeY82w4YNw7Bhw5ot17NnT9UyFE3x8fExyTXzaFgdIYToKS8vD4sWLYKPjw/mzp0LHx8fzJkzB4mJidiyZUuz+9cnYqhPzNBW1LfH09PTyC0hhBDdtZdFYIlxUXBECCF6YBgGH330EcrLy/H555+r5vpMnToVXbt2xddff42kpKQmjxEQEAAHBwdcuHBBa2IEYzl79iwA6JRxjxBC2gyl0jg/pF2h4IgQQvSwe/dunD17Fm+++SZCQkJU2/l8Pj7//HMAwIIFC1QrimvD4XAwePBgVFVV4eLFi4Zusk4YhsHZs2dV480JIcRkKBjj/JB2hcMw1B9ICCHGcvv2bYwfPx4DBw7UaSieoZ05cwbTp0/Hm2++if/85z/Gbg4hhOjs2aCPjFLvsTufG6VeYhjUc0QIIUbUtWtXPP/88zh79iyuXLli1LYoFAqsWrUKtra2iI6ONmpbCCGkxRRK4/yQdoWCI0IIMbKPPvoIbm5uWLhwYZPD8Axt48aNSE5OxqJFi1SZ9AghxGTQnCPCAgqOCCHEyGxtbbF+/XpkZWXh448/Nkob/vzzT3zzzTeIjo5WrYZOCCEmhWGM80PaFZpzRAghhBBCTN6znWKMUu+xh6uMUi8xDFoElhBCCCGEmD6a/0NYQMERIYQQQggxfTQYirCAgiNCCCGEEGL6KDkCYQEFR4QQQgghxPQpFMZuAWkHKDgihBBCCCGmj4bVERZQcEQIIYQQQkweQz1HhAUUHBFCCCGEENNH2eoICyg4IoQQQgghpo8SMhAWUHBECCGEEEJMHg2rI2yg4IgQQgghhJg+GlZHWEDBESGEEEIIMX0MBUek9Sg4IoQQQgghJo+G1RE2UHBECCGEEEJMHgVHhA0chqEVswghhBBCCCGEa+wGEEIIIYQQQkhbQMERIYQQQgghhICCI0IIIYQQQggBQMERIYQQQgghhACg4IgQQgghhBBCAFBwRAghhBBCCCEAKDgihBBCCCGEEAAUHBFCCCGEEEIIAAqOCCGEEEIIIQQA8P8fqJ0cqOiWkAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1000x200 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "system.m.sel(\"y\").mpl(scalar_kw={\"colorbar_label\": \"$m_y$\", \"clim\": (-Ms, Ms)}, figsize=(10, 2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "After the energy minimisation, the magnetisation is:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "editable": true,
    "slideshow": {
     "slide_type": ""
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Running OOMMF (ExeOOMMFRunner)[2023/10/23 16:07]... (0.2 s)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x200 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "md.drive(system)\n",
    "system.m.sel(\"y\").mpl(scalar_kw={\"colorbar_label\": \"$m_y$\", \"clim\": (-Ms, Ms)}, figsize=(10, 2))"
   ]
  }
 ],
 "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"
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  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "state": {
     "00507e64d5184ca0a1277fac9feeae83": {
      "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": [
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       ],
       "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": [
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       ],
       "grid_auto_fit": true,
       "grid_color": 15132390,
       "grid_visible": true,
       "height": 512,
       "label_color": 4473924,
       "layout": "IPY_MODEL_5ddce142cb1d4384bc955aa203adef74",
       "lighting": 1.5,
       "manipulate_mode": "translate",
       "menu_visibility": true,
       "mode": "view",
       "name": null,
       "object_ids": [
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       ],
       "rendering_steps": 1,
       "screenshot": "",
       "screenshot_scale": 2,
       "snapshot": "",
       "snapshot_type": "full",
       "time": 0,
       "voxel_paint_color": 0
      }
     },
     "0874929fcc68445e88a13c65b3357152": {
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        "encoding": "base64",
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