{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Our first ubermag simulation\n", "\n", "The main goal of this tutorial is to have a quick look at how a simple ubermag simulation inside Jupyter looks like and to make ourselves comfortable with Jupyter. We are going to try to guess what the meaning of Python commands in code cells is, and eventually try to identify the skeleton of ubermag simulation. There are probably going to be many parts you do not understand, but please do not worry - we are going to go into all the details in the next sessions.\n", "\n", "Before we specify and run the simulation, we have to import Ubermag modules we intend to use. For defining micromagnetic models, we need to import `micromagneticmodel` and for defining finite-diference fields, we are going to import `discretisedfield`." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import micromagneticmodel as mm # mm is just a shorter name we want to use later\n", "import discretisedfield as df # df is just a shorter name we want to use later" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## The main object in Ubermag: System object\n", "\n", "The main object in ubermag is `mm.System`. In order to define the micromagnetic system we want to simulate, we have to specify:\n", "\n", "1. Energy equation,\n", "2. Initial magentisation state configuration." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "system = mm.System(name='first_ubermag_simulation')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1. Energy equation\n", "\n", "The energy equation for the first Ubermag simulaton is very simple and contains only the following energy terms:\n", "\n", "1. Exchange $A=1\\,\\text{pJ}/\\text{m}$,\n", "2. Zeeman $H=(5 \\times 10^{6}, 0, 0) \\,\\text{A/m}$,\n", "3. Demagnetisation." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "A = 1e-12 # exchange energy constant (J/m)\n", "H = (5e6, 0, 0) # external magnetic field in the x-direction (A/m)\n", "system.energy = mm.Exchange(A=A) + mm.Demag() + mm.Zeeman(H=H)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "### 2. Initial magnetisation\n", "\n", "We choose to simulate a cube with $50 \\,\\,\\text{nm}$ edge length and discretise it into $10$ cells in each direction ($1000$ in total). We initialise the system in positive $y$-direction, i.e. $\\mathbf{m} = (0, 1, 0)$, which is different from the equlibrium state we expect for the external magnetic field applied in $x$-direction. For its norm (saturation magnetisation), we choose $M_\\text{s} = 8\\times 10^{6} \\,\\text{A}/\\text{m}$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "L = 50e-9 # cubic sample edge length (m)\n", "region = df.Region(p1=(0, 0, 0), p2=(L, L, L))\n", "mesh = df.Mesh(region=region, n=(10, 10, 10))\n", "\n", "Ms = 8e6 # saturation magnetisation (A/m)\n", "system.m = df.Field(mesh, nvdim=3, value=(0, 1, 0), norm=Ms)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Inspecting system object\n", "\n", "We have defined the system object and now we can do some inspection to make sure we did not make a mistake. First, we are going to check the energy equation:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/latex": [ "$- A \\mathbf{m} \\cdot \\nabla^{2} \\mathbf{m}-\\frac{1}{2}\\mu_{0}M_\\text{s}\\mathbf{m} \\cdot \\mathbf{H}_\\text{d}-\\mu_{0}M_\\text{s} \\mathbf{m} \\cdot \\mathbf{H}$" ], "text/plain": [ "Exchange(A=1e-12) + Demag() + Zeeman(H=(5000000.0, 0, 0))" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "system.energy" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "This gives us a human-readable equation, which is actually the sum of terms we defined earlier." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Inspecting magnetisation is sligtly more complicated because there are many things we can ask the magnetisation for. Let us have a look at a few basic ones and the rest of them, we are going to explore in later sessions.\n", "\n", "The region we defined is:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "system.m.mesh.region.mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Representation of the mesh:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "system.m.mesh.mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A 2d plot of the magnetisation in the z-slice:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAApsAAAIZCAYAAADp6vS3AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy81sbWrAAAACXBIWXMAAA9hAAAPYQGoP6dpAACIeElEQVR4nO3deVxU9f4/8NcBhl02BVxQE0Tc0VBMr1uaZJqVtrlmaS55XQqtrG6ZXbPc8rqUWlmZ1yXrm9frr0VD28zStmvJ7oqkqYAKOgMMM+f3B80IzIDDMHPO+cDr+XjM497ONu858p55f95nk2RZlkFERERE5AYeagdARERERPUXi00iIiIichsWm0RERETkNiw2iYiIiMhtWGwSERERkduw2CQiIiIit2GxSURERERuw2KTiIiIiNyGxSYRERERuY3mis0JEyYgLi7O7mvlypXW5TIyMjB16lQkJCQgPj4e48ePx+HDh1WMnIiIiERVl7oiIyMDQ4cORVxcHI4fP16n7efm5uKJJ55Ar1690KVLF4waNQp79+6t02dTm6S1x1VOmDAB165dw8KFC23mRUREIDIyEjk5ORg5ciSio6MxY8YM+Pr6YtOmTThw4AC2bNmC+Ph4FSInIiIiEdWlrtiyZQteffVVBAcH4+LFi/j0008RExPj1PavXLmCESNGwM/PD0888QQaN26Mjz/+GDt37sTq1auRlJTk1v3gLposNgFg8+bN1S4zf/58fP7559i/fz/CwsIAAKWlpUhKSsJNN92E9957T4lQiYiIqB5wtq44fPgwHn30Ubzwwgs4d+4c1q5da7fYdHT7a9asweuvv47du3cjNjYWACDLMh588EFcvnxZ2A6n5g6j34gsy0hJSUGfPn2s/2AA4O3tjaSkJBw6dAiFhYUqRkhERESiqEtdERISgu3bt+O+++5zyfa/+OILxMXFWQtNAJAkCcOHD8fp06eRmZlZ14+rCuGKzbNnz6KoqKjSP4RFbGwszGYzsrKyVIiMiIiIRFOXuqJdu3bo2LGjS7ZfVlaGEydOVLscAKSnpzvykTRHk8XmpUuXMH/+fAwcOBCdO3fG8OHDsWXLFgBAfn4+ACA0NNRmPcs0yzJERERENXF3XeHo9gsLC2E0GmtcrqCgwOk41OSldgD25ObmIikpCStWrEBhYSG2b9+Ol156CcXFxdaTaL29vW3W0+l0AIDi4mJF4yUiIiIxlZaWAnBfXeHo9ktKStwah5o0V2yuWbMGXl5eCAwMtE4bOHAgHnzwQaxevRobN24EABiNRpt1Lf+gfn5+N3yfNqtWuChiIiKi+u/knLlu27b5z3Zu27ZH05pPrfPx8QFQ97qirtt3dxxq0lyxGRISYjNNkiQMHjwYR44csU6z10rOy8sDAISHh7stPiIiInItM8xu2/aNzhe01Azuqisc3X5wcDC8vb3rZX2juXM2zWYzysrKbKZbWscBAQEIDQ21e0VWZmYmdDod2rVz3wiJiIiI6o+mTZu6ta5wdPuenp6IjY2tdjkA6NSpk9NxqElTxWZOTg66du2KFSsqH+I2mUxISUlBSEgI2rZti9tvvx0HDx7ExYsXrcvo9Xrs3bsX/fv3R0BAgNKhExERkZNMstltL0e4u65wdPtDhw5FVlYWMjIyrMuZzWbs3r0b7du3R5s2beoUh1o0VWy2atUKQ4YMwaZNm7BixQp8//332LdvH6ZOnYqsrCzMmzcPOp0OM2bMgJ+fH6ZPn46vvvoK3333HWbMmAGDwYDk5GS1PwYREREJxJG64vDhw+jYsSM++OAD63q5ubn4/fff8fvvv+PChQsAgGPHjlmnWc61dLRuGT9+PFq3bo1Zs2Zhz549OHToEObOnYvjx49j/vz5Cu4R19LcE4RKS0uxadMmfPjhhzh79ix0Oh06duyIyZMnY9CgQdbljh8/jmXLluHw4cOQZRndunVDcnIyunTp4tD78AIhIiIix7nzAiHDOfd17PyanXRouRvVFYcOHcJDDz2EF198EWPGjAFQ/mSgnTt3VrvNffv2ISoqyqHtW5w/fx5Lly7FgQMHYDAY0LFjR8ycORN9+/Z15uNrguaKTaWw2CQiInJcfS82yX00dzU6ERERNSzuvBqd1KepczaJiIiIqH5hZ9PFZJMJkqen2mHUmqhxA+LGzriVxbiVJ2rsjFt5poZ5Rl+Dwc6mixV99z1kk0ntMGrNkJEJY4VbMoii7MoV6I/8rnYYtSbLMgq//U7tMJwiatzMTWUxN5UnatwAYIbsthepj8Wmi1398SeUnDyldhi1pj+aBv3RNLXDqDVDajr0qalqh1Frpbl/oOjg92qHUWvm0lJc/mwPTHqD2qHUGnNTWcxNZYmcm1T/sdh0obIrV1B6Jhf6VLF+GGRZhiEtDQbB4gYAfWoqDOkZwnWs9EdTUXbhonAdq+KsbMglJTBUuOGwCJibymNuKkvU3LQwQXbbi9THYtOFDKnpACBcF6I09w+YrhSi+MRJmPR6tcNxmLm0FMVZ2TDrDcJ1rCzFg2h/K5ZiTbTih7mpLOam8kTNTWoYWGy6kOWQUdnFizBeEGdUrD/616EusxmGDNtnsmpVcfYxyMYyABCqY1V2+QpKc/8AINYPgyzL1qJNtI4Vc1NZzE1liZybFjxns35jsekilpG8hUhfsBW/VEX6gq3YeRBqf6elW/+/SB2r0tw/YCosBAChOlbMTeUxN5Ulam5Sw8Fi00UqjuQBcX4YKo7kAXFGxZZz2SxEOseq0kUTAnWsrF02y38L8jfO3FQWc1N5ouZmRSZZdtuL1Mdi00Wqnt8jyqi44kgeEGdUbDmXrSIRzrGq2mUDxCl+qsYpyg8ac1NZzE3liZqb1HCw2HSBqiN5AMKMiu3dmkSELyp7PwI2/wYaVLXLBojRsaraZQPE6FgxN5XH3FSWqLlZldmNL1Ifi00XsDeSB7Q/KrY3kgfE+EGzF2Px8ZOav8ecvQ6PCB2rql02C613rJibymNuKkvU3KyKtz6q31hsukDV82UstD4qLs7KthnJA9ofFVvumWjDbNb0Pebsdtn+ovUiorqbc2u9aGNuKou5qTxRc5MaFhabLlBdUmt9VFzTl6iWR8WWW3zYn6fduKvrsgHa3t/VddkA7Z//yNxUFnNTWSLnZlUm2X0vUh+LzToqu3wFpX+chX+3ePjc1No6Pfi2QfAMaqTZUbHlvmw+0W3g362rdXpg71ugaxqp6R8GfWoqvMLD0ahvH+s0v86d4NsuVtMdK/3RVHgEBCA46TbrNO+oFgjokYCyvDzN3v/R8mMWNKAfPIOCAACSry+CBg2E5OWp2fMfmZvKY24qS9TcpIbHS+0ARGc2GND8qbnwbtYUF97bDOA0AKBR3z4IThqC4qwsdQOshlmvR5PxY+Ab2xaF+7+C/n+/AQD8OrRH4/tHQX80FbLZDMlDW+MRWZYRmJgI/84dUXz8BIoOHAQAeDdvhtBhQ1F8/ARMV6/BKzhI5Uht+bRuheBBAyGbzLiyNwUA4NmoEcLHj0FI0m0wl5aqHKF9Hn5+aPGPZ+EVHGQt0CQvL4TddSeCBw1E6bk/VY7QPuamspibyhM1N+3hhTz1G4vNOvJu1rTaeR7eOvh37qRgNI7zDAiAX7tYu/MkDw8EdO2icESOkSQJAfHVx+YbE61gNLXj37EDANi9UEIXEa50OA6raZ96BgbCL7atgtE4jrmpLOam8kTNTWp4WGwSERGRqkyQ1A6B3Ehbx2GIiIiIqF5hZ5OIiIhUZeZV4/Uai00iIiJSFQ+j1288jE5EREREbsPOJhEREamKnc36jZ1NIiIiInIbdjaJiIhIVWaZnc36jJ1NIiIiInIbdjaJiIhIVTxns35jselCgYk94NvmJgCAh6+vusHUgm9sW4SNvBsA4N28+kf8aY0uvMn1uFu1VDkax3l466xxe4WFqhxN7QQPuQ1ycTEknU7tUGqFuaks5qbyRM1NahgkWZYb5K1U26xaoXYIREREwjg5Z67btv1jzk1u23bPVqfctm1yDDubREREpCpeIFS/8QIhIiIiInIbdjaJiIhIVbxAqH5jZ5OIiIiI3IadTSIiIlKVSWbvqz7jvy4RERERuQ07m0RERKQqM3tf9Rr/dYmIiIjIbdjZJCIiIlXxavT6jcUmERERqYoXCNVv/NclIiIiIrdhZ5OIiIhUZeZh9HqNnU0iIiIicht2NomIiEhVJva+6jUWm0RERNTgZWRk4LXXXsPPP/+MsrIydOnSBbNnz0ZiYmKd14uLi6txG/v27UNUVBQmTJiAw4cP211m+vTpeOKJJ2r/wTSAxSYRERGpSu2r0XNycjBu3DhER0dj+fLl8PX1xaZNmzBp0iRs2bIF8fHxdVrvo48+srv+mjVrcOzYMURERFinderUCQsXLrRZtuIyomGxSURERA3aG2+8AZPJhA0bNiAsLAwAkJCQgKSkJKxcuRLvvfdendbr0qWLzbrp6ek4cOAAXnvtNXh7e1unBwQE2F1eZDxJgoiIiFRlhofbXjciyzJSUlLQp08fa8EIAN7e3khKSsKhQ4dQWFjosvUs6y5cuBAJCQkYOnSoE3tMLCw2XUyWZbVDcIqocQPixs64lcW4lSdq7IxbeSZZctvrRs6ePYuioiLExsbazIuNjYXZbEZWVpbL1gOAlJQU/Prrr3jyyScd2DviY7HpYvrfjgqZ8CUnT6GsmhGYlpkNBhRnZasdhlP0vx1VOwSniBw3c1M5zE3liRq32vLz8wEAoaGhNvMs0yzLuGI9ANiwYQN69+6Nrl272sy7dOkS5s+fj4EDB6Jz584YPnw4tmzZ4uCn0SYWmy5WdOA7lP5xVu0wak1/NBWGtHS1w6g1Q3om9L/9rnYYtWa8mIcr+/arHUatySYTCnbugtloVDuUWmNuKou5qSyRcxMov/WRu143UlpaCgCVzpu00Ol0AIDi4mKXrXfw4EH8/vvvmDZtmt14cnNz0bx5c6xYsQJr1qxBVFQUXnrpJWzcuPGGn0WrWGy6kNlgQPHxE2L+MBxNgyFVvLj1aWnQp6YL17HSp6ahNOeMcB2rklOnYbp8GcXZx9QOpVaYm8pjbipL1NzUAh8fHwCA0U6hbiko/fz8XLbe//3f/yEyMhK9e/e2mbdmzRocOHAAs2fPRkJCAm699VasX78e8fHxWL16Na5evVqLT6YdLDZdyJCRCZjN0B9NVTuUWjFezIPxwgUYMjOFGhXLJhMMaRkwXb4M49lzaodTK4bUtPL/TctQOZLa0VvjFqv4YW4qi7mpPFFz08Ise7jtdSPh4eEAgIKCApt5eXl5lZap63qlpaX46quvMGDAALuxhISEIDAwsNI0SZIwePBgFBcX49gxMQcTLDZdyJLsoo2KLXHLpUahRsUlp07DrNcDuP4ZRGDpsgHXf9hEYThaHq/+aJpQHSvmprKYm8oTNTe1oGnTpggNDUVmZqbNvMzMTOh0OrRr184l6/3www+4evVqtcWm2WxGWVmZzXTL4XhLN1U0LDZdxDKStxBpdFnxS1WkL9iKP2IidawM6eVdNgBCdawsXTYAQnWsmJvKY24qS9TcrEjNczYB4Pbbb8fBgwdx8eJF6zS9Xo+9e/eif//+CAgIcMl6v/76KwCgc+fONtvKyclB165dsWLFisr7xmRCSkoKQkJC0LZtW4c+j9aw2HSRiiN5AMKcY1VxJA9AqHOsKv74luacgamoSMVoHKdPux63SB2rqh0qUTpWzE3lMTeVJWpuasmMGTPg5+eH6dOn46uvvsJ3332HGTNmwGAwIDk5GQBw+PBhdOzYER988EGt1qvo1KlT0Ol0iIyMtJnXqlUrDBkyBJs2bcKKFSvw/fffY9++fZg6dSqysrIwb94864VHomGx6SJVk1uUUXHFkTwgzqjYmJcH4/kLlabpBSgiqnbZAHE6VlXjFKVjxdxUFnNTeaLmZkVq3mcTACIjI7F161aEh4cjOTkZM2fOhCRJeP/9963dRFmWYTKZYK6Ql46sV1FhYSH8/f0hSfbjWrJkCZ544gns2bMHU6ZMwbx581BcXIx169bh/vvvd2LPagMfV+kilvNlLCyjYv+OHVSKyDH2RsD61DR4t2iuQjSO0x+1jduQmoZGtySqEI3jqnbZgPIf4rD75Gq/fLSgapcNuH7+o1dQkEpROYa5qSzmprJEzs2KHHnSj7vFxMRg/fr11c7v1auX3fMzb7ReRTe6fZG3tzemTJmCKVOmOLQ9Uaj/r1sPVDxfpiKtj4plkwmGdNsrLkUYFdvbtyJ0rOwVECJ0rKp22azTNX7FLnNTecxNZYmam9SwsNh0gerOj9H6OVb2RvKA9s+xsjeSB/7qWB07rkJEjquuyNH6OVYVz2WrSOtFG3NTWcxN5Ymam1WZZA+3vUh9/FdwgeqSWuuj4pq+RLV8jpXlnol252n4C9beuWwWWu5Y2TuXzULrHSvmprKYm8oSOTepYWGxWUeWkbxXeBPoIiKs0/06dgAkSdOjYsPRNHgEBMDnptbWab7tYiF56zT9w6BPTYOk84Jv3PX7l3m3agnPoEaavsec/mgaIEnw63T9XEGvxo2haxqp6fs/WrpsPtFt4OFf/jQMydsbvu1iNX3FLnNTecxNZYmam/aYIbntRerjBUJ1ZLxwEU3GPoiA7t1wcfNW6/lhjR+4F3JJaflIX4NMV68isFdPNOrbB0UHDqLk1GkAQKO+f0P4Q+NQdOAgZLMZkoe2xiOyLEMXEYEW/3gWxvPnUZyZBQDwax+H4NsGo+jg9zBdvgKv0BB1A7VD8vJE86eS4RkcgjPPPg8A0EWEI2LKJOiP/Iayixc1eUK/6epVRM6YBt/Ytvjj5Vdh1hsgeXuj6YxpKD5+AmWXr6gdol3MTWUxN5Unam5Sw8Nis458WreCT+tWdufpIiOgi4ywO09tnoGBCB58a7XzQoYmKRyRYyRJQkjSbQAA4/nzleZ5eOsQPLC/GmE5JKjv3wAAJr2h0nTJwwMB3bupEJFjAuK7VjvPNyZawUhqh7mpLOam8kTNTXt4bmX9xn9dIiIiInIbdjaJiIhIVY4+VpLExGKTiIiIVGV28Ek/JCYOJYiIiIjIbdjZJCIiIlXxMHr9xn9dIiIiInIbdjaJiIhIVWbe+qhe478uEREREbkNO5tERESkKhMfK1mvsbNJRERERG7DzqYL+cZEQ/Iq36WSzlvlaBynaxqJgB4JAKDJ5xZXx7NRI2vc3i2aqxyN4yRPj+txN2+mcjS149+lM0xFV+Hh66N2KLXC3FQWc1N5ouamBc/ZrN8kWZZltYNQQ5tVK9QOgYiISBgn58x127aXpt3htm0/1fEzt22bHMPOJhEREamK52zWbyw2iYiISFU8jF6/af5f98cff0T79u0xYcKEStMzMjIwdepUJCQkID4+HuPHj8fhw4dVipKIiIiI7NF0sVlaWornn38eVU8rzcnJwbhx43Dp0iUsX74c69evR2BgICZNmoQjR46oFC0RERE5wyR7uO1F6tP0YfQ33ngDhYWF6Ny5s810k8mEDRs2ICwsDACQkJCApKQkrFy5Eu+9954K0RIRERFRVZot+bOysvD2229j7ty58Pf3t06XZRkpKSno06ePtdAEAG9vbyQlJeHQoUMoLCxUI2QiIiJyghmS216kPk0Wm2azGS+88AK6d++Oe++9t9K8s2fPoqioCLGxsTbrxcbGwmw2IysrS6lQiYiIiKgGmjyMvm3bNqSmpmLXrl028/Lz8wEAoaGhNvMs0yzLEBERkfbx3Mr6TXP/un/++SdWrFiBqVOnIjo62mZ+aWkpgPLD5lXpdDoAQHFxsXuDJCIiIiKHaK6zuXDhQkRERGDatGl25/v4lD+Ky2g02syzFKJ+fn7uC5CIiIhcyizz3Mr6TFPF5p49e/Dll19iw4YNMBqN1oLSZDIBAK5du4bGjRsDAAoKCmzWz8vLAwCEh4crFDERERHVlUl7B1rJhTRVbH755ZeQZRlTp061O//mm2/GzJkzERoaiszMTJv5mZmZ0Ol0aNeunbtDJSIiIiIHaKrYnD59Ou677z6b6YsWLQIA/OMf/0Dz5s2Rl5eHnTt34uLFi9Yupl6vx969e9G/f38EBAQoGjcRERE5j4fR6zdNFZs33XQTbrrpJpvpjRo1AgD06NEDADBjxgx8/vnnmD59OmbNmgWdToe33noLBoMBycnJSoZMRERERDUQ8iSJyMhIbN26FeHh4UhOTsbMmTMhSRLef/99tG3bVu3wiIiIqBbM8HDbi9Snqc5mdTZv3mwzLSYmBuvXr1chGiIiIiJylBDFJhEREdVfJp6zWa+xv0xEREREbsPOJhEREamKV6PXb+xsulhJTo7aITil9M/zMAv4mE+5rAylf5xVOwyniPq3wriVxdxUnqh/K6LGDQBm2cNtL1If/xVc7ErKlzDm2z7dSOv0vx+FITNL7TBqrTj7OK79+j+1w6g1U1ERLn+6R+0wak2WZeR/tBOy2ax2KLXG3FQWc1NZIucm1X8sNl1ILiuDITMLhtQ0tUOpNcPRNOiPihe3PjUVegH3tz4tHYbsY8J1rIznzqE05wxKTovVQWFuKo+5qSxRc9PCBMltL1Ifi00XKs4+DrmkRLgvWFNREUpycmBISxdqVCzLMvSpaTCe+1O4jpUhNQ0wmYTrWFmKHtGKNuamspibyhM1N6lhYLHpQvrUVABA8bHjQo2K9WnpgCzDfO2aUKNi47k/Ybp0GQBgSBPnC1YuK4Mho/yHTLSOlSE1HQCEK9qYm8pibipP1Ny0MMuS216kPhabLmIZyQMQblRccSQs0qi44peqSD8MxdnHIZeWAoBQHStLlw2AUB0r5qbymJvKEjU3qeFgsekiFUfygDhfsBVH8oBYo2JDhX0sUsfK0mUDIFTHytJlsxClY8XcVB5zU1mi5mZFvBq9fuO/gotU/SEQZVRccSQPiDMqrjiSL58gRseqUpftL6J0rKrGKUrRxtxUFnNTeaLmptZkZGRg6tSpSEhIQHx8PMaPH4/Dhw+7ZL358+cjLi7O7mvevHmVls3NzcUTTzyBXr16oUuXLhg1ahT27t3r0s+qNBabLmKoktyijIorjuQtRPiCrTqSB8T4gjWeO1epywaI0bEyG42VumyAOB0r5qaymJvKEjk3KzJDctvLETk5ORg3bhwuXbqE5cuXY/369QgMDMSkSZNw5MgRl6wXHh6Ojz76yOY1Z84c6zJXrlzB2LFjkZaWhoULF+Kdd95BXFwcZs+eLXTByScIuYDNSP4vhtQ0+La5SfmAHGRvJA+Uf8EG9e+rQkSOs5wMX2laennHSvLQ7hhKbyduS8dK1zhMhYgcU3LsRKUuGwBrxyogvqs6QTmAuak85qayRM3NqtR+Nvobb7wBk8mEDRs2ICys/N87ISEBSUlJWLlyJd577706r+ft7Y0uXbrUGMf777+PCxcuYPfu3YiNjQUA9OjRA8ePH8fy5cuRlJRU9w+rAu1mvkDsjeQB7Y+K7Y3kAe2Pii33TKzKfFX7HauqXTbrdI3/rdjrsgHa71gxN5XF3FSeqLmpJbIsIyUlBX369LEWjEB5cZiUlIRDhw6hsLDQZevV5IsvvkBcXJy10AQASZIwfPhwnD59GpmZmU58QvWx2HSB6r6MtH6OVbVfRho/x8pyz0R7tPzDUF2XDdB28VNdlw3Q/vmPzE1lMTeVJXJuVqXmBUJnz55FUVFRpQLPIjY2FmazGVlZtnnn7HrVKSsrw4kTJ6rdHgCkp9t24EXAYrOOLOfLSDoveAQGWqd7hYUC0PYXrD41DZAkeIaEWKdZ4tbyqNgykrfECgCeIcGAJGn6h8HSZasYt0dAACRvnaY7VpYumyVWAICnJzyDGmn6/EfmpvKYm8oSNTe1Jj8/HwAQGhpqM88yzbJMXdYrLi7GokWLcNttt6FLly4YMmQI1q5di7KyMgBAYWEhjEZjjdsrKNDuILkmLDbrqDQnB41690KLfzwL37Yx1ulNZ81A+MTxKNNo98R09Sp0YWFo/lQygvr9zTo99J670XTWDMBk0uSoWJZlmIuLETljGho/eL91emBiT7SY/yS8WzRHmZ3Dj1pQdjEPTcaPQbPkx63TfFq1RNQLzyFoQD8UnzylWmw1KTmdg9ARwxH1wrPwDAoCAHj4+aHFP55F2Mi7UXomV+UI7WNuKou5qTxRc9MeNW/qXvrXOa/e3t4283S68iK+2M6Ao7brXb58GZIk4eWXX8a6deuQkJCANWvWYPHixQCAkr+OCtQ2DhHwAqE68omOhm9MjO0MSUJA927w7xavfFAO8AgIQPjE8QAAQ1pGpXm+MdHwjYmGbOdcNy1oMm4MJEmCISu70nRdZATCx4/VbNwhw++AJEkw6Q2VpnsGBiLsrjs1G3fgLb0gSbZf2B7eOgQN6KfZuJmbymNuKkvU3NQaHx8fAIDRaLSZZyko/fz86rTec889h2eeeQbBwcHWZfr27QuDwYCtW7fioYceQtBfA4baxiECdjbryF6i12a+WhyJS4uxS5JUb/c543at+hq3o8sojbmpPFHjtkfNWx+Fh4cDsH+IOi8vr9Iyzq7XqFGjSoWmxZAhQyDLMlJTUxEcHAxvb+9axyECFptERETUYDVt2hShoaF2r/TOzMyETqdDu3bt6ryevY6l5bC4j48PPD09ERsbW+32AKBTp06OfzANYbFJREREqlLznE0AuP3223Hw4EFcvHjROk2v12Pv3r3o378/AgICnF7v2rVr6NGjB+bOnWuz/t69e6HT6dCtWzcAwNChQ5GVlYWMjOun0JjNZuzevRvt27dHmzZtHPo8WsNik4iIiFSl9rPRZ8yYAT8/P0yfPh1fffUVvvvuO8yYMQMGgwHJyckAgMOHD6Njx4744IMParVeQEAARo8ejT179uCFF17AgQMH8PXXX2Pu3Ln4+uuv8eijj6JJkyYAgPHjx6N169aYNWsW9uzZg0OHDmHu3Lk4fvw45s+f7+K9rhxeIEREREQNWmRkJLZu3Yply5YhOTkZsiyjW7dueP/999G2bVsA5XdcMJlMMFe4G4Qj6wHA3Llz0apVK2zevBk7d+6Eh4cH2rZti1deeQWjRo2yLufv74/Nmzdj6dKleOGFF2AwGNCxY0ds2LABvXv3Vm6HuBiLTSIiIlKVo4e73SkmJgbr16+vdn6vXr3snk95o/WA8ou1HnjgATzwwAM3jCMyMhIrVqy4ccAC4WF0IiIiInIbdjaJiIhIVY7coojExc4mEREREbkNO5tERESkKi2cs0nuw2LThbxCgqFrGln+Hx7iNI09AvytcXv4+qgcjeMkb29r3J6BgSpH4zjJQ7oed2iIusHUkleTJpC8vODh7692KLXC3FQWc1N5ouYmNQyS3EAfntpmVf260ouIiMidTs6xvSm5q9x9YKbbtr2r71q3bZscw84mERERqYqH0es3cY4nEREREZFw2NkkIiIiVbGzWb+xs0lEREREbsPOJhEREamKN3Wv39jZJCIiIiK3YWeTiIiIVMVzNus3djaJiIiIyG3Y2SQiIiJVsbNZv7HYJCIiIlWx2KzfeBidiIiIiNyGnU0iIiJSFTub9Rs7m0RERETkNuxsEhERkapkdjbrNXY2iYiIiMht2NkkIiIiVfFxlfUbO5tERERE5DbsbBIREZGqeDV6/cZik4iIiFTFC4TqNx5Gd7GyggK1Q3BK2ZUrkMvK1A6j1mSzGWWXLqsdhlOE/Vth3IpibipP2L8VQeOm+o/Fpotd3rsPpqvX1A6j1vS/HUXx8RNqh1FrJTlncO3nX9QOo9bMxcW49OketcNwSsF//gtZltUOo9aYm8pibipP1NwEyg+ju+tF6mOx6UKy2Qz90VQY0tLVDqXW9Klp0KemqR1GrRlEjTszG/rfjwrXsSorKID+t6Mwnj+vdii1wtxUHnNTWaLmJjUMLDZdqCTnDMxXr0KfJtYXrLm4GMXZx2BITRNuVKxPTUPJqdPCdawMqWmQS0qE61jpU8uLNcNRsf7GmZvKY24qS9TctJBlyW0vUh+LTRcy/DWKN6RnCjUqNmRmAyYTyvILhBoVlxUUwHj2HCDLMKRnqB2Ow2SzGfq/OmyidX4s8YoWN3NTWcxN5Ymam9QwsNh0IUuSizYqNlT4chJpVGwZyZf//1QVI6kdS5cNgFAdK0uXDYBwHSvmprKYm8oSOTcteM5m/cZi00WsI/m/iDK6rDiSB8SJG6gcq0gdq4oFhEgdK0uXDYBQHSvmpvKYm8oSNTep4WCx6SIVR/KAOKPiiiN5QJxRsbmkxDqSB/7qWJ04qWJEjqtaNIjSsTJUiVuUjhVzU1nMTeWJmpsVybL7XqQ+FpsuUvVLSpRRcdUvKVFGxYbMrOsj+b/oBfhhqNplA8ToWFXtsgHidKyYm8pibipL5NykhoPFpgtUPF+mIhFGxfZ+BEQYFdvbtyJ0rKp22QAxOlZVu2yAGOc/MjeVx9xUlqi5WZUZkttepD4Wmy5Q6XyZCrQ+Ki4rKIDx3Dmb6VofFdsbyQNAWX6+5jtWdv8mZFnz93+06bL9Ret/48xNZTE3lSdqblbFWx/Vbyw2XaC6ZNf6qNjeSB7Q/qjY3kjeQssdq+q6bAA0f//H6g6Dar1jxdxUFnNTeaLmJjUsLDbrqNJI3tPz+gxPT82fY2Ud+VaNG9X/2GmBoaa4NdyFMGT91WWzE7eWO1bWLpskAR5/fWVIEiBJmj7/kbmpPOamskTNTXt466P6jcVmHZXknIEuIhyRM6bBv0sn6/RmT8xG0KCB1Y6W1WYuLobpSiGajB+DkKFJ1ulNxo5G2Mi7UZqbq9lRccnpHITeNRwRD0+wTgseNBDhE8eXf65r2uxYFWdlI2hAPzR/Mtk6za9dLJrOmgGf1q0027HSp2XAv1s8mj+VDK+wUACAR0AAWjzzFAJ6JMCQps2ijbmpPOamskTNTWp4vNQOQHTezZqi6awZkCQJRQd/sE73DAxA2F13wlxSomJ0NfDwRPN5j0Py9MSVfV9aJ0s6HYIG9ENg71vK7xkhaWtUKMsyIiY/DA8fn/JuhIUkIaB7N/jHd9VsFyJ0xHB4+PjApDdUmu4bE42mM6Zp9m8lsGcCgvr2sZmuiwhH+Pgxmo2buaks5qbyRM1NezQ6fiIXYbFZRx4+PnWarxYPb12d5qtFkiRINexTycMDkre3ghE5Tti/FcatKOam8oT9WxE0bmp4WGwSERGRqnjVeP3GczaJiIiIyG3Y2SQiIiJVaaGzmZGRgddeew0///wzysrK0KVLF8yePRuJiYkuWe/o0aNYuXIlfv31VwBAmzZtMGHCBNxzzz3WZebPn4+dO3fafZ8RI0Zg+fLldfuQKmGxSURERKpS+xZFOTk5GDduHKKjo7F8+XL4+vpi06ZNmDRpErZs2YL4+Pg6rXf06FGMHj0aHTt2xNKlS+Hv74+PPvoITz/9NPLy8vDoo49atxkeHo5169bZvFdISIhbPrsSWGwSERFRg/bGG2/AZDJhw4YNCAsLAwAkJCQgKSkJK1euxHvvvVen9dauXQs/Pz9s3LgRjRo1AgDccsstyMzMxObNmysVm97e3ujSpYv7PqwKeM4mERERqUqW3fe68XvLSElJQZ8+fawFI1Be9CUlJeHQoUMoLCys03pjxozBkiVLrIUmAHh4eKBdu3Y4f/48zGZzHfae9rHYJCIiogbr7NmzKCoqQmxsrM282NhYmM1mZGVl1Wm9AQMGYNCgQTbLHT9+HC1btoSHR/0ux+r3pyMiIiLNk2XJba8byc/PBwCEhobazLNMsyzjivUsPvjgA2RmZmLs2LGVphcXF2PRokW47bbb0KVLFwwZMgRr165FmUYfiuAIFptERETUYJWWlgIoP/xdlU5X/hCF4uJil60HAPv378fLL7+MPn36YMKECZXmXb58GZIk4eWXX8a6deuQkJCANWvWYPHixbX4VI778ccfcenSpRqX+d///odPPvnE6ffgBUJERESkKjVvfeTz15OWjEajzTxLQenn5+ey9T766CMsWLAAPXv2xNq1a+Hldb0Ue+655/DMM88gODjYOq1v374wGAzYunUrHnroIdx00021+HQ39tBDD2HVqlVISkqqdpn//e9/WLduHYYPH+7Ue7DYdKHw8WMgjx0NAJB04uzaoIH90ahfXwCA5OWpcjSO820bg1ZLXwEASJ7iNOk9/Hyvx+2h/r3laqP50/MAAZ9hzNxUFnNTeaLmphaEh4cDAAoKCmzm5eXlVVqmruu9+eabWLFiBUaMGIHFixfbdEUrXkBU0ZAhQ/D5558jNTXVJcXm2bNn8ccffwAov9ApOzvb7ukAQHl39vPPP6+2S+sIcb51BSB5eUGsr6dykqcnJE9xfsgsyp+1LM4PmYUkSZA0+nzrG/HQiRk3c1NZzE3liZqbFmrWyU2bNkVoaCgyMzNt5mVmZkKn06Fdu3Z1Xm/Hjh1YsWIFJk2ahKeeegqSZP9byWg0Wg/DW1gKPR8XPe/+448/xtq1a8v/5iUJa9eurXF5WZbRp08fp9+PxSYRERGpSu0nCN1+++3YuXMnLl68aO1G6vV67N27F/3790dAQECd1jt69CgWLlyIMWPG4Omnn7a7rWvXrmHAgAHo06cPVq9eXWne3r17odPp0K1bN5d83qlTp6Jfv3749ddf8eqrryIxMREtWrSwu6ynpydatmyJ0aNHO/1+LDaJiIioQZsxYwY+//xzTJ8+HbNmzYJOp8Nbb70Fg8GA5ORkAMDhw4fx8MMPY8GCBXjwwQcdXg8AXnnlFfj5+eHOO+/E77//bvP+bdq0QWBgIEaPHo233noLL7zwApKSkmAymfDf//4XX3/9NR577DE0adLEJZ/X29sb8fHxiI+Px/vvv48pU6agX79+Ltm2PZosNvfv34+3334b2dnZMBqNaN++PSZNmlTp5FVnn2FKREREGqPy+aaRkZHYunUrli1bhuTkZMiyjG7duuH9999H27Zty0OUZZhMpko3YHdkPQD46aefAADjxo2z+/7vv/8+evXqhblz56JVq1bYvHkzdu7cCQ8PD7Rt2xavvPIKRo0a5ZbPvn//frdstyJJlh25v75ydu3ahaeeegp33XUX7rnnHpSWlmLjxo348ccfsXLlSgwbNgw5OTkYOXIkoqOjMWPGDOuzSA8cOFDjM0wrarNqhQKfhoiIqH44OWeu27bd7qN/um3bWfc977Zt1xdlZWX49ddfcf78+Rrv53nPPfc4tX3NdTZXrVqFHj16YNmyZdZpPXv2xIABA7B9+3YMGzbM6WeYEhERkfaofc5mQ5aVlYWpU6fi/Pnz1S4jyzIkSaofxWZJSQkmT55s8+inwMBAREdH4+zZszd8FunmzZtRWFiIoKAgpcMnIiIiEsorr7yCP//8Ez179kR8fDx8fX1d/h6aKjZ9fHzsns9gNBpx7tw5dOjQweFnkfbo0UOJkImIiKiOtHVCX8Ny5MgR3HvvvXj55Zfd9h6aKjarMplMyMnJwWuvvYaSkhLMnj27zs8iJSIiIqJysiyjZ8+ebn0Pzd519+OPP0bHjh0xdOhQnDlzBu+++y66dOlSp2eREhERkfbIsuS2F9Wsbdu2uHjxolvfQ7PF5qBBg/Dxxx9jw4YNiI6OxpgxY/Dxxx87/SxSIiIi0ihZct+LajR16lRs3brVrUeFNXsYPSQkBCEhIQCAgQMHYt68eXjxxRexZ88eALV/hikRERERVebh4YEePXrg9ttvx/Dhw3HTTTfZPXoMVH+f0BvRVLF54cIFfP311+jevXulm6ECQKdOnbB7925cuHDBqWeYEhERkTbxAiH1/P3vf4ckSZBlGR988IHdZ7Zbbn1UL4rN0tJS/OMf/8Bdd91V6T6bAPDrr78CAJo1a+b0M0yJiIiI6DpLselOmio2o6KicPfdd2PXrl0IDAzEbbfdBqD8AfR79uzBqFGjEBER4fCzSImIiEgA7GyqZtasWW5/D00VmwCwePFitG/fHjt37sT//d//wdvbGy1btsS8efPw8MMPA3D8WaRERERE5JjS0lKcPXsWTZs2denN3TX3bHSl8NnoREREjnPns9HbbHnFbds+Oe4Zt227vsjKysKSJUtw6NAhmEwmvP/++9Z7bz7zzDMYP348OnXq5PT2NXvrIyIiIiJyr1OnTmHs2LE4ePAgWrZsWWleQUEB/t//+3+YOHEijh075vR7sNgkIiIidclufFGN1q9fD0mSsH37dnzwwQeoeMA7LCwM//nPf+Dp6YkNGzY4/R4sNl3MbDCoHYJTzMXFkM1mtcOoNVmWxd3njFtRwsbN3FQc41YenyCknu+//x6jR49GfHy83avSY2JiMHr0aPzwww9OvweLTRe7su9LmEtK1A6j1vRHU1Gam6t2GLVmPH8BV3/5Ve0wak0uK8PlvSlqh+GUS5/tVTsEpzA3lcXcVJ6ouUnqys/PR2xsbI3LtG3bFpcuXXL6PVhsupAsy7j2vyMoznb+vAa16I+mQZ+arnYYtWZIS4NBwLiLT5zEtZ9/Ea5jZbp2DUUHvkPZ5ctqh1IrzE3lMTeVJWpuWvEwumoCAgJQWFhY4zJnz55FYGCg0+/BYtOFjBcuoiwvH/qjaWqHUiuyyQRDRiYMqWLFDZT/EBdnZ8NcWqp2KLViSE2DqbAIpbl/qB1KrRjSMwCzWbgigrmpPOamskTNTVJf165d8fHHH6OsrMzu/FOnTmHTpk3o2rWr0+/BYtOFDKmp5f+blibUqLj4+AnIxcUozf1DqFGx6do1lJw8BdlYhuKsbLXDcZgsy9D/VTzoBSsiLMWaaHEzN5XF3FSeqLl5neTGF9Vk0qRJSE9Px/jx47Fz504AwOHDh7Ft2zbMnTsXd911Fy5fvoxJkyY5/R4sNl3Ikuzlo2JxzrGq2DUR6YvKkJ5hfaCuSB0r4/kLKMvLBwChOlZyWRkMGZkAIFzHirmpLOamskTOTVJf7969sWjRImRmZuKVV8rvd7p27Vq89NJL+OSTT+Dp6YlFixbhlltucfo9NPcEIVFZRvIW+tR0+LRqpV5ADqo4kgcAQ2o6gv7WR8WIHFfxPDZDWjpksxmSh/bHT4a06/vb0rHyCglRLyAHFZ84Cbm4GACsHSv/zs7f5FcpzE3lMTeVJWpuVsJzK1V17733YtCgQUhJScGxY8dw7do1BAYGol27dhg8eDCCg4PrtH0Wmy5ScSQPlI+KQ++4XcWIHFNxJA9cHxV7eHurGNWNySZT+T7/i6mwEKW5f8CnVcsa1tKGqp0efWqaEEVE1U6P/miaED9ozE1lMTeVJ2pukraEhobi/vvvd8u2tT/UFETVLylRzrGq+iUlyjlWlnPZKhLhMGPVLhsgxuG6ql02QJzzH5mbymJuKkvk3KyEV6OrrqysDBcuXMDZs2erfTnLqc5mcXExvvrqK/z000/Izc1FQUEBCgsLERQUhLCwMERFRaFHjx4YOHCgSx/krlWWK0arEmFUbO9HQIRRsb0fARE6VlW7bABgyDoGc0kJPHx8VIrqxqp22QBYr9jVcseKuak85qayRM1NG7z5umoKCwvxwgsvYN++fdVekQ4AkiQhLc25AVitis3Lly9j/fr1+PDDD6HX6ys90qiqLVu2wN/fHw888ACmT59e5+P9WmZvJA9o/xwreyN5QPvnWNkbyQOWjtUVeIVo92/N7v0Sy8pQnH1M00WEoZovGH1qmqZ/0JibymJuKk/U3CTtWLx4MT7//HP4+/ujQ4cO8HHD4MrhYnPv3r144YUXcPnyZbRo0QJ33nkn+vbti+joaISGhiIoKAiFhYUoKCjAyZMn8e233+K7777Du+++i507d+Kf//wnhgwZ4vIPoAXVHWrR+jlW9kbygPbPsbLcM9EeQ2oaGv2tt8IROabquWwVab1jVd0VxVrvWDE3lcXcVJ6ouVlVDb0rcrOvv/4aPXv2xLp16+p04/aaOFRsrlq1CuvWrUNcXByWLFmCAQMG2F0uLCwMYWFhaNu2rbWw/Prrr/Haa69h9uzZeOyxxzB79mzXRa8B1Y3kAe1fFVjTLUm0PCq23DPRHr2Gf9Cq67IB18+x0mLHqrouG6DtK3aZm8pjbipL1Nwkbbl69SruuusutxWagIMXCL355pt4/PHHsXPnzmoLzeoMGDAAO3fuxKxZs/Dmm286FaSWGc9fgNlQjNC7hsOvYwfr9CYPjYNvu1jN3mNOLitD8fETCBrQD0ED+lunh44YjoAeCTCkafcpFPrUdPh374awkXdbpwX2uQVBg29Fyekczd5jzpCaBp/oNgh/ZKJ1mm/bGOvn0Or9Hw3pGfBq0gRNxo+BV1goAMAjIADhD0+ArmmkZi/+YG4qj7mpLFFz0y5eIKSa5s2bo9TNuelQZ3P9+vXo16+f02/i4eGBGTNm1OlRR1rl4eODqBeehYePD0pyrn8h+Ua3QeDN3VF6/oKK0VXPXGpE83lPwCs4CFf2fWmd7hUejuDBt8J48aImR/OyLKPJA/dBFxkBQ4Urcz0DAxE6bCiCbx0A2WgENHh4NLBPb4RGhMNsuN5BkXQ6BA3oh8Det8B8tUjF6Krn07oVWsyfB8nTE5c/31s+UZIQ0C0e/l27VHvYVG3MTWUxN5Unam6Sttx7773YvXs3xowZAw83fa84VGzWpdCsqG/fvi7ZjpZ4hYbUON87MkKZQGrJ098PgF+183Xh4coFUwuSJEFXwz71dONhgLqq6W/Bw1sHj7AwBaNxXE1/C5KHB3QR2vxbYW4qi7mpPFFz0y5eja6a0aNH49ixYxg7diweeughtG7dutqLhNq2bevUezh16yOTyYRNmzbhyy+/xIULF6q9VF6SJKSkpDgVGBERERG5V2JiIiRJgizLOHLkSLXLKXbrI4tXX30V//73v2u89RERERGRIySWE6rp2bOn29/DqWJz//79iI6Oxssvv4yOHTvCW4Pn4BAREZEgWGyqZvPmzW5/D6fOBM3Pz8fEiRPRrVs3FppEREREVC2nOps33XST2y+TJyIiogaCFwipqri4GJs3b8a+fftw4sQJ6PV6BAQEoG3bthg2bBhGjx4NT09Pp7fvVLE5efJkrF27FsOGDUOYRq/SIyIiIqKaFRYWYty4cTh27BhkWYa3tzf8/f2h1+vx888/45dffsFnn32Gd955x+mj2U4VmyNGjEBeXh5uu+02DB48GM2bN4dOp7NZTpIk/P3vf3cqMCIiImogeM6majZs2IDs7GxMnjwZo0ePRsuW159QduLECWzevBnbtm3DO++8g+nTpzv1Hk5fIPTaa6/BaDRi9+7d1S7HYpOIiIhIu/bt24d7770XTz75pM286OhoLFiwAIWFhfjkk0+ULTb/9a9/QZIkPPDAA+jYsWO1N/8kIiIiuiF2NlVz9uxZTJkypcZlevXqhX379jn9Hk4Vm6dPn8aUKVMwa9Ysp9+YiIiIiNTl6emJ4uLiGpcxm82QJOcv4nKq2AwODkaLFi2cftP6KuSO2xHUv/yRnFp+NFtVAQnd4dPmJgCo8XFzWuMdFYWms8tP0/AKCVY5Gsd5+Hhb4/bwq/6xhFoU/tB4yGVlmnsu940wN5XF3FSeqLlpxc6matq0aYOvv/4a48aNq3aZ/fv3o02bNk6/h1PF5vDhw7Fv3z6MGjXK6Teuj7T6rOUb8QoJgVdIiNph1Jqnvx88o53/41eL5OkJXwHjBgCfVi1vvJAGMTeVxdxUnqi5acVbH6lmxIgRWLJkCWbNmoWxY8ciNjYWfn5+0Ov1yMrKwubNm/Htt9/i2Wefdfo9nCo2p0yZgpdffhlTp07F/fffjxYtWlR7ObyzD20nIiIiIvd66KGH8OOPP+KLL75ASkqKzXxZljF8+HCMHz/e6fdwqtjs06eP9dj9t99+W+1ydXloOxERETUMfDa6ejw9PfHGG29g79692LNnD44fP269qXtsbCyGDx+OAQMG1Ok9nCo2lXhoOxEREZFSMjIy8Nprr+Hnn39GWVkZunTpgtmzZyMxMdEl6+Xm5mLFihU4ePAg9Ho9YmNjMX36dCQlJVVarqCgACtXrsT+/ftx5coVtG7dGhMmTMDo0aNd/pkrSkpKsonFVZwqNpV4aDsRERE1ECp3NnNycjBu3DhER0dj+fLl8PX1xaZNmzBp0iRs2bIF8fHxdVrvypUrGDt2LPz8/LBw4UI0btwYH3/8MWbPno3Vq1dbizyj0YhHHnkEeXl5ePLJJ9GyZUt8+eWXWLBgAYqLi/Hwww+7bR+YTCZkZ2fj4sWLKCoqQnBwMCIiItC2bds6XYkOOFlsEhEREdUXb7zxBkwmEzZs2GB9DHdCQgKSkpKwcuVKvPfee3Va7/3338eFCxewe/duxMbGAgB69OiB48ePY/ny5dZic/fu3cjIyMCbb75pPXSdkJCA3NxcrF69GqNHj4avr6/LP/+7776L9evXo7Cw0GZe48aNMWvWLDz44INOb9/pYrOgoADffPMNzp8/D6PRWO1yM2fOdPYtiIiIiNxKlmWkpKSgT58+1oIRALy9vZGUlITNmzejsLAQQUFBTq/3xRdfIC4uzlpoAuXXtQwfPhyLFy9GZmYm4uLi8MUXXyA4OBj9+vWr9F533nknPvvsMxw8eBCDBg1y6effunUrlixZAm9vb/Tp0weRkZEIDAxEUVERcnJy8Ouvv+LFF1+El5cX7r33Xqfew6li88cff8T06dOh1+shy9X3viVJYrFJREREmnX27FkUFRVVKgQtYmNjYTabkZWVhR49eji1Xrdu3XDixAkMHTrU7nIAkJ6ejri4OGRmZiImJgYeVe6XWnE5VxebW7ZswU033YRNmzYhMjLSZn5ubi4mT56M9957T9lic8WKFSgpKcHdd9+N+Ph4t7R0iYiIqGFQ82r0/Px8AEBoaKjNPMs0yzLOrFdYWAij0VjjcgUFBdb/bd++/Q2Xc6UzZ85g/vz5dgtNAIiKisKECROwdOlSp9/DqWIzPT0d48ePx/z5851+YyIiIiK1lZaWAoDd+4XrdDoAsPs4R0fXKykpcXj7JSUltY6jrgIDA+Hj41PjMr6+vjanEdSGU8+10ul06NChg9NvSkRERGQlS+573YCl0LJ3/YmloPSz8/hSR9erzfZ9fX1rHUdd9enTBz/99FONy/z0008255HWhlPFZocOHXDmzBmn35SIiIjISnbj6wbCw8MB2D9EnZeXV2kZZ9YLDg6Gt7e3Q9tv0qRJreOoq2eeeQaZmZlYvHgxTpw4UWneH3/8gRUrVuDkyZN46qmnnH4Ppw6jz5kzB3PmzEFSUhLatWvn9JsTERERqalp06YIDQ1FZmamzbzMzEzodDq7tY6j63l6eiI2Nrba5QCgU6dOAMqbed9//z3MZnOli4SqLudKo0ePhsFgwObNm7F582Z4eXnB398fJSUl1lMAgoKCMGzYsErrSZKEgwcPOvQeThWbaWlp6NWrF0aOHIlbbrkFbdq0sXuOgSRJePLJJ515CyIiImooVL6p++23346dO3fi4sWL1u6hXq/H3r170b9/fwQEBNRpvaFDh2LFihXIyMiwXgBkNpuxe/dutG/fHm3atLEut2fPHuzfvx+33Xab9X127dqFsLAw9OrVy+WfveqRaqPRiCtXrlSaVvW/a0uSa7p3UTXat28PSZJqvO0RUF5spqenOx2cO7VZtULtEIiIiIRxcs5ct207euVrbtv2iSeSb7jM+fPncddddyEqKgqzZs2CTqfDW2+9hSNHjuDDDz9E27ZtcfjwYTz88MNYsGCB9QbnjqwHlBeg99xzD2RZxrx58xASEoLt27dj7969ePvtt9G7d28A5QXo2LFjkZOTg6eeegpRUVH47LPP8O9//xuvvvoqRo4c6bb95E5OdTZfeeUVV8dBREREDZSatz4CgMjISGzduhXLli1DcnIyZFlGt27d8P7771sLRlmWYTKZYDaba7UeAPj7+2Pz5s1YunQpXnjhBRgMBnTs2BEbNmywFpoA4OHhgTfffBMrVqzAsmXLUFhYaH0U5ogRI5TbIS7mVGezPmBnk4iIyHHu7GzGvOa+zubx5Bt3Nqn85u0XL15EWVlZtcv07NnTqW071Nl8+umn8c9//tPueZmOKi0txfPPP48lS5Y4vQ0iIiKqhxpk20sbjh8/jscffxzHjh274bLOnhrpULH5xRdfICMjAy+99BLi4+Nr/Sb/+9//8MILL+CPP/6o9bpERERE5B6LFi1CdnY22rRpgw4dOtzwBu/OcKjY/Pe//40ZM2Zg9OjR6NevHx599FH06NHD5tmdFZnNZvz44494++23ceDAATRt2hT//ve/XRa4VskmEyRPT7XDqDVR4wbEjZ1xK4txK0/U2Bm3CtjZVE1aWhruuecevPrqq257D4eKzY4dO+K///0vFi1ahP/+97/49ttvERAQgF69eqFNmzZo3LgxAgMDcfXqVeTn5+PkyZM4dOgQrl27BlmWcffdd+PZZ59FcHCw2z6IVhR99z0a/a23cAlvyMiELiIcOjfcMNadyq5cQcnxkwi4uZvaodSKLMso/PY7BA/sr3YotSZq3MxNZTE3lSdq3ID6Fwg1dLfccotbt+/w1ehBQUFYunQpJk6ciM2bN+Pbb7/Fvn37rPOr3gqpcePGGDJkCCZMmICOHTu6NmoNu/rjT/Bu3gy+bWPUDqVW9EfToIsIR/CtA9QOpVYMqekoPn5cuB+00tw/UHTwe+F+GMylpbj82R4EJvaEp7/rH5vmTsxNZTE3lSVybpK6evTogaysLLe+R61vfdSpUydrqzUjIwMnT55EQUEBioqK0KhRI4SFhaFNmzbWm5Y2JGVXrqD0TC70qWlC/aDJsgxDWhrKLor3g6ZPTUXJyVPCHT7SH01F2YWLMF68KFTHqjgrG3JJCQwZGQi8ubva4TiMuak85qayRM1NKweeYU7u8dRTT+GRRx5By5Ytce+999bpYvDqOHWfTYv27ds3yKKyOobU8qu09EfTEHa3OPfDKs39A6YrhTAVXYVJr4env7/aITnEXFpa/gVrLEPJyVNCFRGG1DQA5X8rIhUR+r/iNqSmCfWDxtxUFnNTeaLmJqmvZcuWuPPOO/HSSy9h0aJFaNy4MXQ6nc1ykiQhJSXFqfeo/gofqjV9aioAoOziRRgvXFQ5Gsfpj5bHDbMZhgzbZ7dqVXH2McjG8vuBWb5oRVB2+QpKc8vvzGAQKG5Zlq1FmyE9A7LJpHJEjmNuKou5qSyRc9NKduOLarRkyRK89dZb1pvWX7hwAX/88YfNKzc31+n3YLHpIpaRvIVIX7AVv1RF+oLVH70eq1D7O+36fcqKT5yESa9XMRrHleb+AVNhIQDArDeg5OQpdQNyEHNTecxNZYmam6QNn3zyCWJiYrB9+3b89ttvyMjIqPblLBabLlJxJA+I88NQcSQPiDMqtpzLZmE5x0oEli4bAKE6VtYum+W/BfkbZ24qi7mpPFFzsyJJdt+LalZUVISJEyeiW7dubjlfE2Cx6TIVR/KAOKPiiiN5QJxRseVctoqq/htoUdUuGyBO8VM1TlF+0JibymJuKk/U3CRtiI6Oht7N34lOFZs5OTmujkNoVUfyAIQZFVcayVunaf+Lyt6PgM2/gQZV7bIBYnSsqnbZADE6VsxN5TE3lSVqbtrgOZuqmT17NrZs2YLz58+77T2cuho9KSkJt9xyCx544AEMGTLE7lVLDYm9kTyg/asC7Y3kgfIfNK1fsWvvR7f4+EmY9AZN32POXofH0rHS8hW7VbtsFlq/Ype5qTzmprJEzc2qeLhbPWfOnEHHjh0xZMgQ/O1vf0OLFi3sHk6XJAlPPvmkU+/hVLHZrVs3/PDDDzh06BCCg4Nxzz334P7770dMjHYT0p2qni9jYRkVa/Uec5Zbk1Sl9XvMWe6ZaMNs1vQ95ux22f6i9fs/2uuyAeVFm5Z/0JibymJuKk/U3CTtWLx4sfXBPF9++WW1yylebG7fvh1//PEHdu/ejU8++QTvvfceNm3ahG7duuHBBx/E0KFD4evr61RAIqruvB6tj4prOiSn5VGx5RYf9udpt2NVXZcN0Pb9H6vrsgHXz3/U6v0fmZvKYm4qS+TctMHOpmpeeeUVt7+H0zd1b9GiBaZPn47p06cjMzMTu3fvxqeffor58+fj5ZdfxogRI3D//fejQ4cOroxXc8ouX0HpH2fh3y0epsuXUXLqNAAg+LZBuHr4R82Oii33ZfOJbgPPoEbQ/+83AEBg71tQcvKkpkfF+tRUeIWHwy8uFkUHDgIA/Dp3glxaqumOlf5oKjwCAtDob71xZW/5jXG9o1pA17Qprv38C4wXLkIXob2OleXHLGhAP1z79QhMhYWQfH3RqM8tKDrwHQwZmZosIpibymNuKkvU3CRtGTlypNvfo05PELKIi4tDXFwc5s2bh0OHDuFf//oXtm3bhm3btiEhIQFTpkzBgAHa/HKsK7PBgOZPzYV3s6a48N5mAOU/aI369kFw0hAUu/l5o84y6/VoMn4MfGPbonD/V9YfNL8O7dH4/lHQH02FbDZD8tDWDQtkWUZgYiL8O3dE8fET1h807+bNEDpsKIqPn4Dp6jV4BQepHKktn9atEDxoIGST2fqD5tmoEcLHj0FI0m0wl5aqHKF9Hn5+aPGPZ+EVHGTtuEleXgi7604EDxqI0nN/qhyhfcxNZTE3lSdqbtrFzqYmnDx5EidOnIDBYEBAQADatm2Lli1b1nm7Lik2AeD8+fPWw+rp6eWHUrp164bjx49j+vTpGDFiBF5++eV6dzGRd7Om1c7z8NbBv3MnBaNxnGdAAPzaxdqdJ3l4IKBrF4UjcowkSQiIrz4235hoBaOpHf+O5V1+k95gM0+LXROLmvapZ2Ag/GLbKhiN45ibymJuKk/U3CTtOXjwIBYtWoSTJ0/azOvYsSMWLlyIzp07O739OhWbZrMZ+/fvx0cffYQDBw6grKwMQUFBmDBhAkaPHo2YmBgYDAasXr0a7777LsLCwjB//vy6vCURERHVM7waXT2//fYbpk6dClmWcfPNNyMmJgZ+fn7Q6/XIysrCb7/9hokTJ+LDDz9EdLRzg0anis3Tp0/jo48+ws6dO5Gfnw9ZltG1a1eMHj0aw4cPh4+Pj3VZPz8/PP3008jPz8euXbtYbBIRERFpxJtvvomQkBC88847aNeunc383377DVOmTMH69euxdOlSp97DqWLz9ttvhyRJ8PPzw/33348xY8bc8EKgfv36Yffu3U4FSURERESu9+uvv2Ls2LF2C00A1mbizp07nX4Pp4rNuLg4jB49GnfddRcCAgIcWqd79+5Yvny5M29HRERE9RkPo6vmypUriIqKqnGZNm3aoKCgwOn3cKrY3LVrV63XiYqKuuGHISIiIiLlNGrUCOfOnatxmQsXLiAwMNDp99DWvTOIiIiowZFk972oZvHx8dixY0e1z0Y/d+4ctm7diu7dnb9nq8tufUREREREYnn00UcxceJE3HHHHRgyZAhiYmLg7+8PvV6PzMxM7N+/H0ajEdOnT3f6PVhsEhERkbrYgVRNjx49sHz5cixcuNB6mqTlWekAEBERgX/+85+Ij493+j1YbBIRERE1YHfccQcGDx6MH3/8EceOHYNer0dAQABiY2PRs2dPeHnVrVxksUlERETqYmdTdd7e3vjb3/6Gv/3tb9ZpRqOxzoUmwGLTpQITe8C3zU0AAA9fX3WDqQXf2LYIG3k3AMC7efWP+NMaXXiT63G3qvuzW5Xi4a2zxu0VFqpyNLUTPOQ2yMXFkAR77CxzU1nMTeWJmpukDQcOHMCSJUuwYsWKSvfb/M9//oONGzdiwYIF6N27t9PbZ7HpQpbn64rGp1VL+Aj0g2DhFRqKoAH91A6j1iQvLyHjBoBGvXqqHYJTmJvKYm4qT9TctOBV4+r53//+h2nTpkGSJBiNxkrzmjRpgj///BOPPvooPvjgA6efj85bHxEREZG6ZDe+qEavv/46WrRogS+++AKdOnWqNO/WW29FSkoKWrZsiX/9619OvweLTSIiIqIG6pdffsGECRPQrFkzu/ObNGmCMWPG4Ndff3X6PTRZbB48eBBjxoxBfHw8EhMTMXbsWHz99deVlsnIyMDUqVORkJCA+Ph4jB8/HocPH1YpYiIiInIWb+quHrPZjJCQkBqXCQ4Ohslkcvo9NFds7t+/H4888ggCAwOxZs0aLFu2DD4+Ppg6dSo+++wzAEBOTg7GjRuHS5cuYfny5Vi/fj0CAwMxadIkHDlyROVPQERERCSGNm3a4LvvvqtxmT179qBlS+fPH9fcBUIrV67ETTfdhDfeeAO6v66qS0xMxMCBA7F582bccccdeOONN2AymbBhwwaEhYUBABISEpCUlISVK1fivffeU/ETEBERUa2wA6mae+65B4sXL4a3tzdGjhyJ1q1bw9vbG1euXEFmZiY++OADfPPNN3jyySedfg9NFZuyLOOxxx5DWFiYtdAEAD8/P7Ru3Rp//vknZFlGSkoK+vTpYy00gfL7QyUlJWHz5s0oLCxEUFCQGh+BiIiISBjjx4/Hzz//jB07duDDDz+0mS/LMm677TZMnDjR6ffQVLEpSRKGDRtmM91oNOL06dPo0KEDzp49i6KiIsTGxtosFxsbC7PZjKysLPTo0UOJkImIiKiu2NlUjYeHB1atWoWvv/4an3zyCbKysnDt2jUEBgYiJiYGw4YNw6BBg+r0HpoqNquzZs0aXL58GWPHjkV+fj4AIDTU9oa7lmmWZYiIiIjoxgYMGIABAwa4Zduau0Coqu3bt+PNN9/EqFGjkJSUhNLSUgDlh82rshx6Ly4uVjRGIiIich6vRteO0tJS/Oc//3Fp407TxebatWuxYMEC3HnnnfjnP/8JAPDx8QEAm7vcA7AWon5+fsoFSURERHXDm7prxrVr1/DMM8/gxIkTLtumZg+jL1iwANu3b8ejjz6KefPmQZIkAEB4eDgAoKCgwGadvLy8SssQERERUe3IsmurdE0WmytXrsQHH3yA5557Dg899FCleU2bNkVoaCgyMzNt1svMzIROp6v0EHkiIiLSOHYg6zXNHUZPSUnB+vXrMXfuXJtC0+L222/HwYMHcfHiRes0vV6PvXv3on///ggICFAqXCIiIiKqgaY6m2VlZXj11VcRFRWFXr164ffff7dZJi4uDjNmzMDnn3+O6dOnY9asWdDpdHjrrbdgMBiQnJysQuRERETkLF7Iox06nQ49e/ZEo0aNXLZNTRWbf/75J86cOQMAuP/+++0us2/fPkRFRWHr1q1YtmwZkpOTIcsyunXrhvfffx9t27ZVMmQiIiJqIEwmE958803s3LkTZ8+eRePGjTFs2DDMmTMHvr6+Llm3pKQE77zzDj766COcP38eERERSExMxJw5c9CsWTMAQG5uLgYPHlzte+3duxetW7d26DP9+OOPaNmyJZo2bQoACAwMxObNmystc/ToUWzZsgWvvPKKQ9usSlPFZlRUlN1zMe2JiYnB+vXr3RwRERERuZ0gnc1FixZhx44dmDlzJhITE5GdnY2lS5fi1KlTWLdunUvWffLJJ7F//37MmDEDPXr0wKlTp/Cvf/0LBw4cwGeffVap4zhz5kwMHDjQ5r0sRakjJkyYgKCgICxbtqza+2z+8ccf+M9//lM/ik0iIiIiLTpz5gy2bduGSZMm4bHHHgMAJCQkwGw2Y+HChfjpp5+qfXqho+sePXoUe/bswaxZszBjxgwAQGJiIgIDA/HEE0/g888/r3Tkt0WLFujSpUudP5ter8djjz2GOXPmYNq0aXXeXlWau0CIiIiIGhYRbuq+b98+yLKMESNGVJo+fPhwSJKElJSUOq/buHFjvPrqqzanEsbFxQEoP93QHZ5//nkkJibiX//6F+bMmQODweDS7bPYdDFX35tKKaLGDYgbO+NWFuNWnqixM24VCHBT98zMTEiShJiYmErTg4ODERERgfT09Dqv26xZM4wcORKRkZGVlrPcYL1Vq1au+Cg2QkND8c4772DixInYs2cPRo8ejdzcXJdtn8Wmi+l/OypkwpecPIWywkK1w6g1s8GA4qxstcNwiv63o2qH4BSR42ZuKoe5qTxR4xZFfn4+AgMD7T4uOzQ01O7DZlyx7rVr17B8+XKEh4cjKSmp0rwffvgB48aNQ48ePXDzzTdjypQpOHrUub8DDw8PzJ8/H8uWLcPp06dx33334fvvv3dqWzbbdslWyKrowHco/eOs2mHUmv5oKgxp1Y/KtMqQngn9b7a3yNI648U8XNm3X+0wak02mVCwcxfMdh4Xq3XMTWUxN5Ulcm4CULWzaTQacfz48RpfFy5cQElJid1iESi/XVBxcXG17+Hsunq9HrNnz0Zubi6WLVtm8zjutLQ0PPDAA3jrrbfwzDPPIDMzExMmTKhTV3LEiBHYtm0b/P39MWXKFLz77rtOb8uCFwi5kNlgQPHxEzCkpcMnqoXa4dSK4WgayiIj0OiWXmqHUiv6tDQUHzuBsPtk6yNNRaBPTUNpzhmUFRbCKyhI7XAcVnLqNEyXL6M4+xj8O3ZQOxyHMTeVx9xUlqi5qQXnz5/HsGHDalxm5MiR8PX1hbGaYr60tLTGWx85s25BQQGmTZuGjIwMrFq1Cr1797bOa9asGQ4cOICQkBDodDoAQPfu3dG1a1fcc889WLVqFZYtW1bjZ6pJhw4d8PHHH+Pxxx/H0qVLHb6NUnXY2XQhQ0YmYDZDfzRV7VBqxXgxD8YLF2DIzBRqVCybTDCkZcB0+TKMZ8+pHU6tGFLTyv83LUPlSGpHb41brE4bc1NZzE3liZqbFpIbXzdiue1iTa9XX30VTZo0QVFREUpLS222kZ+fj4iIiGrfo7brnjt3DqNHj0ZOTg7effdd3HbbbZXme3p6Ijw83FpoWsTFxaFVq1Z2H4pTWyEhIdbzOE+dOlWnbbHYdCFLsltGxaKwxC2XGlGcfUzlaBxXcuo0zHo9gOufQQSWLhtw/YdNFIaj5fHqj6YJdf4jc1NZzE3liZqbIunQoQNkWUZ2duVzkfPy8pCXl4dOnTq5ZN3CwkJMmTIFJSUl2Lp1a7W3U7JXuALlh+x9fHwc/VjYt28f+vfvb3ee5TzOtWvX4u9//7vD27TZjtNrUiWWkbyFSKPLil+qIn3BVvwRE6ljZUgv77IBEKpjZemyARCqY8XcVB5zU1mi5mYlAlyNPmTIEHh5eWHXrl2Vplv++4477nDJus888wwuXLiAd955x+bqdYu1a9eia9euNsXrb7/9hnPnzqFnz54Of64WLVrc8OlHt912G2bOnOnwNqviOZsuUnEkDwCG1HQhzrGqOJIHAH1qujDnWFX88S3NOQNTURE8XfgsV3fRp12P29KxEuEcq6odKn1qGrxbNFcpGscxN5XH3FSWqLkpmsjISEyaNAkbN25EaGgoEhMTkZqaitWrV2PUqFHo0OH638rEiRNx8uRJfPPNN7Va9/vvv0dKSgrGjx8PvV5vczg8ICAA0dHRGDVqFLZu3Ypp06bh73//O1q3bo3s7Gy8/vrraNKkCaZMmaLcjnEAi00XqZrsllGxR5XzKbSm4kgeuD4q1voXlTEvD8bzFypN06emo9EtiSpF5JiqXTag/IdZhB+0qp01/dFUhCTdVs3S2sHcVBZzU3mi5mZFrrz5ujslJycjODgYO3bswOuvv46IiAhMnjzZ+lQgC7PZDJPJVOt1f/rpJwDAv//9b/z73/+2ef/ExERs3rwZzZs3x7Zt27B69WosW7YMRUVFCA0NRd++fTF79myb+3SqjcWmi1jOl7EQZVRs73wqEUbF+qO2cRtS0zT/g1a1ywaI0bGq2mUDIMwVu8xNZTE3lSVyblYiSLEpSRIeffRRPProozUut3nzZqfWnTVrFmbNmuVQLK1bt8aKFSscWlZtPGfTBSqeL1OR1s+xkk0mGNJtr7gU4Rwre/tWhHOs7BUQIpxjVbXLZp2u8St2mZvKY24qS9TcpIaFxaYLVHe1pT41XdNXBdobyQPXz7HSKnsjeeCvjtWx4ypE5LjqihytX7Fb8Vy2irRetDE3lcXcVJ6ouWlDgAuEyHksNl2guqTW+qi4pi9Rfap2r9i13DPR7jwNf8HaO5fNQssdK3vnsllovWPF3FQWc1NZIucmNSwsNuvIMpL3Cm8CXYWbsvp17ABIkqZHxYajafAICIDPTdefDODbLhaSt07TPwz61DRIOi/4xrWzTvNu1RKeQY00fY85/dE0QJLg1+n6uYJejRtD1zRS0/d/tHTZfKLbwMO//FFpkrc3fNvFavr+j8xN5TE3lSVqbtojye57kfp4gVAdGS9cRJOxDyKgezdc3LzVen5Y4wfuhVxSWj7S1yDT1asI7NUTjfr2QdGBgyg5dRoA0Kjv3xD+0DgUHTgI2WyG5KGt8Ygsy9BFRKDFP56F8fx5FGdmAQD82sch+LbBKDr4PUyXr8ArNETdQO2QvDzR/KlkeAaH4MyzzwMAdBHhiJgyCfojv6Hs4kVNntBvunoVkTOmwTe2Lf54+VWY9QZI3t5oOmMaio+fQNnlK2qHaBdzU1nMTeWJmpvU8LDYrCOf1q3g07qV3Xm6yAjoIqt/fJWaPAMDETz41mrnhQxNUjgix0iSZL2lh/H8+UrzPLx1CB5o/ykIWhDU928AAJPeUGm65OGBgO7dVIjIMQHxXaud5xsTrWAktcPcVBZzU3mi5qZd7EDWa9oaGhMRERFRvcLOJhEREamK51bWbyw2iYiISF0sNus1HkYnIiIiIrdhZ5OIiIhUxcPo9Rs7m0RERETkNuxsEhERkbrY2azX2NkkIiIiIrdhZ5OIiIjUxc5mvcbOJhERERG5DTubLuQbEw3Jq3yXSjpvlaNxnK5pJAJ6JACAJp9bXB3PRo2scXu3aK5yNI6TPD2ux928mcrR1I5/l84wFV2Fh6+P2qHUCnNTWcxN5Ymamxa8Gr1+k2RZbpD/xG1WrVA7BCIiImGcnDPXbdtOmLrSbdv++c0n3LZtcgw7m0RERKSuBtn2ajhYbBIREZGqpIZ5kLXB4AVCREREROQ27GwSERGRutjYrNfY2SQiIiIit2Fnk4iIiFTFWx/Vb+xsEhEREZHbsLNJRERE6mJns15jZ5OIiIiI3IadTSIiIlIVz9ms31hsEhERkbpYbNZrPIxORERERG7DziYRERGpiofR6zd2NomIiIjIbdjZJCIiInWxs1mvsbNJRERERG7DziYRERGpiuds1m/sbBIRERGR27CzSUREROqS2dqsz9jZdLGSnBy1Q3BK6Z/nYS4uVjuMWpPLylD6x1m1w3CKqH8rjFtZzE3lifq3ImrcQPlhdHe9SH0sNl3sSsqXMOYXqB1Grel/PwpDZpbaYdRacfZxXPv1f2qHUWumoiJc/nSP2mHUmizLyP9oJ2SzWe1Qao25qSzmprJEzk2q/1hsupBcVgZDZhYMqWlqh1JrhqNp0B8VL259air0Au5vfVo6DNnHhOtYGc+dQ2nOGZScFquDwtxUHnNTWaLmppXsxhepjsWmCxVnH4dcUiLcF6ypqAglOTkwpKULNSqWZRn61DQYz/0pXMfKkJoGmEzCdawsRY9oRRtzU1nMTeWJmpvUMLDYdCF9aioAoPjYcaFGxfq0dECWYb52TahRsfHcnzBdugwAMKSJ8wUrl5XBkFH+QyZax8qQmg4AwhVtzE1lMTeVJ2puWkhm971IfSw2XcQykgcg3Ki44khYpFFxxS9VkX4YirOPQy4tBQChOlaWLhsAoTpWzE3lMTeVJWpuUsPBYtNFKo7kAXG+YCuO5AGxRsWGCvtYpI6VpcsGQKiOlaXLZiFKx4q5qTzmprJEzc1KeM5mvcZi00Wq/hCIMiquOJIHxBkVVxzJl08Qo2NVqcv2F1E6VlXjFKVoY24qi7mpPFFzU0Qmkwnr1q1DUlISOnfujAEDBmDJkiUodmBA5ci6ubm5iIuLq/Z1+vTpStvcvn077rzzTnTu3Bl9+vTB888/j0uXLrn8c9cVb+ruIoYqyW0ZFfu2uUmdgBxUcSRvYUhNg65/XxWicVzVkTxQ/gUbEN9VpYgcYzx3rlKXDSgvhkLvHKZOQA4yG42VumzA9Y6Vh6+vSlE5hrmpLOamskTOzYpEuR/mokWLsGPHDsycOROJiYnIzs7G0qVLcerUKaxbt85l686cORMDBw602UazZs2s///tt9/GsmXL8Mgjj+DFF1/EuXPnsGTJEqSmpmLHjh3w8tJOiaedSARmM5L/iyE1TdM/aPZG8kD5F2yQxn/QLCfDV5qWXt6xkjy027DX24nb0rHSNQ5TISLHlBw7UanLBsDasdJyEcHcVB5zU1mi5qYNAZ4gdObMGWzbtg2TJk3CY489BgBISEiA2WzGwoUL8dNPP6FHjx4uWbdFixbo0qVLtbFcu3YNr7/+OoYOHYr58+dbpwcFBWHq1Kn45JNPcPfdd7viY7uEdjNfIPZG8oD2z7GyN5IHtH+OleWeiVWZr2r/HKuqXTbrdI3/rdjrsgHaP1zH3FQWc1N5ouamiPbt2wdZljFixIhK04cPHw5JkpCSkuKWde05ePAg9Hq9zfb69++PkJCQWm/P3VhsukB1X0ZaP8eq2i8jjZ9jZblnoj1a/mGorssGaLv4qa7LBmj//EfmprKYm8oSOTerEuFxlZmZmZAkCTExMZWmBwcHIyIiAunptt1xV6xb3fYAIDY2ttJ0SZIQHR1d6+25G4vNOrKcLyPpvOARGGid7hUWCkDbX7D61DRAkuAZEmKdZolby6Niy0jeEisAeIYEA5Kk6R8GS5etYtweAQGQvHWa7lhZumyWWAEAnp7wDGqk6St2mZvKY24qS9TcFFV+fj4CAwPh7e1tMy80NBQFBdUPYGu77g8//IBx48ahR48euPnmmzFlyhQcPXq00vYs69rbnmW+VvCczToqzclBo969EDToVhTs3AX9/44AAJrOmoGSU6dRckqbyW66ehW6sDA0GX0/DGkZuLT7EwBA6D13wzPAH0Xffa/Jc6xkWYa5uBiRM6YBsozz694EAAQm9kRgws24/EUKyi5dhldoiLqB2lF2MQ9Nxo+BX/v2OPOPBQAAn1Yt0WTcaFzZ/xWKT56Cf4f2Kkdpq+R0DkJHDEejvn1wdtlrKMvLh4efH1r841lc/f4HlJ7J1eT5j8xNZTE3lSdqbtql4imbRqMROdV0ti0aNWqEkpISu8UiAOh0Oly5cqXa9Wu7blpaGqZMmYJWrVrh2LFjWLNmDSZMmIDdu3cjKioKJX8dQbC3TZ1OZ52vFSw268gnOhq+VdriAABJQkD3bvDvFq98UA7wCAhA+MTxAABDWkaleb4x0fCNiYas0RO2m4wbA0mSYMjKrjRdFxmB8PFjNRt3yPA7IEkSTHpDpemegYEIu+tOzcYdeEsvSJJkM93DW4egAf00GzdzU3nMTWWJmptac/78eQwbVvNdB0aOHAlfX18YjUa780tLS+Fbw9X/jq7brFkzHDhwACEhIdDpyrvV3bt3R9euXXHPPfdg1apVWLZsmXV5o9Fo8743ikUNLDbryF6i12a+WhyJS4uxixo3UH//Vhi3a4n6Ny5q3ED9/VvRatz2qHnro6ioKOs5kDV57rnnUFRUhNLSUpuOYn5+Ptq3r7773aRJE4fW9fT0RHh4uM36cXFxaNWqFX7//Xfr9gCgoKAAjRo1stmevW2oSVvHYYiIiIg0qEOHDpBlGdnZlTv3eXl5yMvLQ6dOnVyybmnVW1n9paSkBD4+PtbtAbApkk0mE44dO4bOnTs7/sEUwGKTiIiI1CXL7nu5yJAhQ+Dl5YVdu3ZVmm757zvuuKPO665duxZdu3a1KUp/++03nDt3Dj179gQA9OnTB8HBwTbb++KLL3Dt2rUaY1EDD6MTERGRqkR4glBkZCQmTZqEjRs3IjQ0FImJiUhNTcXq1asxatQoa7cRACZOnIiTJ0/im2++qdW6o0aNwtatWzFt2jT8/e9/R+vWrZGdnY3XX38dTZo0wZQpUwAAPj4+SE5OxoIFC7B48WIkJSUhJycHS5YswS233ILBgwcrv4NqwGKTiIiIyAHJyckIDg7Gjh078PrrryMiIgKTJ0+2PhXIwmw2w2Qy1Xrd5s2bY9u2bVi9ejWWLVuGoqIihIaGom/fvpg9ezYiIyOty44ePRre3t549913sXXrVoSEhGDEiBF4/PHHNXe+LotNIiIiUpcAnU2g/KKrRx99FI8++miNy23evNnpdVu3bo0VK1Y4FM+oUaMwatQoh5ZVE8/ZJCIiIiK3YWeTiIiIVCXCOZvkPHY2iYiIiMht2NkkIiIidZnZ2qzPWGy6kFdIMHRN/7pSTGPPLa6JR4C/NW4PXx+Vo3Gc5O1tjdszMFDlaBwneUjX49bgc6Jr4tWkCSQvL3j4+6sdSq0wN5XF3FSeqLlJDYMkN9CHp7ZZ5diVXkRERAScnDPXbdseMGyp27b99adPuW3b5Bh2NomIiEhVvECofhPneBIRERERCYedTSIiIlJXwzyjr8HQbGczIyMDQ4cORVxcHI4fP253/tSpU5GQkID4+HiMHz8ehw8fViFSIiIiIqqOJovNLVu24P7778fVq1ftzs/JycG4ceNw6dIlLF++HOvXr0dgYCAmTZqEI0eOKBwtERER1YUku+9F6tNcsXn48GEsWbIECxYswIMPPmh3mTfeeAMmkwkbNmzArbfeit69e2P16tVo0qQJVq5cqXDERERERFQdzRWbISEh2L59O+677z6782VZRkpKCvr06YOwsDDrdG9vbyQlJeHQoUMoLCxUKlwiIiKqK9mNL1Kd5orNdu3aoWPHjtXOP3v2LIqKihAbG2szLzY2FmazGVlZWe4MkYiIiIgcJNzV6Pn5+QCA0NBQm3mWaZZliIiISPskXo1erwlXbJaWlgIoP2xelU6nAwAUFxcrGhMRERHVgVntAMidNHcY/UZ8fMqfD2w0Gm3mWQpRPz8/RWMiIiIiIvuE62yGh4cDAAoKCmzm5eXlVVqGiIiItI+H0es34TqbTZs2RWhoKDIzM23mZWZmQqfToV27dipERkRERERVCVdsAsDtt9+OgwcP4uLFi9Zper0ee/fuRf/+/REQEKBidERERFQrvPVRvaa5w+i5ubm4dOkSAODChQsAgGPHjkGv1wMA4uLiMGPGDHz++eeYPn06Zs2aBZ1Oh7feegsGgwHJycmqxU5ERERElWmu2Fy7di127txZadrs2bOt/3/fvn2IiorC1q1bsWzZMiQnJ0OWZXTr1g3vv/8+2rZtq3TIREREVBc8Z7Nek2S5Yf4Lt1m1Qu0QiIiIhHFyzly3bXvwwMVu2/a+r55127bJMZrrbBIREVHDIjXItlfDwWKTiIiI1NUwD7I2GEJeja5lZXbu/ymCsitXIJeVqR1GrclmM8ouXVY7DKcI+7fCuBXF3FSesH8rgsZN9R+LTRe7vHcfTFevqR1Grel/O4ri4yfUDqPWSnLO4NrPv6gdRq2Zi4tx6dM9aofhlIL//BcinurN3FQWc1N5ouYmAEhm971IfSw2XUg2m6E/mgpDWrraodSaPjUN+tQ0tcOoNYOocWdmQ//7UeE6VmUFBdD/dhTG8+fVDqVWmJvKY24qS9TcpIaBxaYLleScgfnqVejTxPqCNRcXozj7GAypacKNivWpaSg5dVq4jpUhNQ1ySYlwHSt9anmxZjgq1t84c1N5zE1liZqbVrLsvhepjsWmCxn+GsUb0jOFGhUbMrMBkwll+QVCjYrLCgpgPHsOkGUY0jPUDsdhstkM/V8dNtE6P5Z4RYubuaks5qbyRM1NahhYbLqQJclFGxUbKnw5iTQqtozky/9/qoqR1I6lywZAqI6VpcsGQLiOFXNTWcxNZYmcm1Z8XGW9xmLTRawj+b+IMrqsOJIHxIkbqByrSB2rigWESB0rS5cNgFAdK+am8pibyhI1N6nhYLHpIhVH8oA4o+KKI3lAnFGxuaTEOpIH/upYnTipYkSOq1o0iNKxMlSJW5SOFXNTWcxN5YmamxVJsuy2F6mPxaaLVP2SEmVUXPVLSpRRsSEz6/pI/i96AX4YqnbZADE6VlW7bIA4HSvmprKYm8oSOTep4WCx6QIVz5epSIRRsb0fARFGxfb2rQgdq6pdNkCMjlXVLhsgxvmPzE3lMTeVJWpu2uDV6PUai00XqHS+TAVaHxWXFRTAeO6czXStj4rtjeQBoCw/X/MdK7t/E7Ks+fs/2nTZ/qL1v3HmprKYm8oTNTdtmN34ItWx2HSB6pJd66NieyN5QPujYnsjeQstd6yq67IB0Pz9H6s7DKr1jhVzU1nMTeWJmpvUsLDYrKNKI3lPz+szPD01f46VdeRbNW5U/2OnBYaa4tZwF8KQ9VeXzU7cWu5YWbtskgR4/PWVIUmAJGn6/EfmpvKYm8oSNTft4QVC9RuLzToqyTkDXUQ4ImdMg3+XTtbpzZ6YjaBBA6sdLavNXFwM05VCNBk/BiFDk6zTm4wdjbCRd6M0N1ezo+KS0zkIvWs4Ih6eYJ0WPGggwieOL/9c17TZsSrOykbQgH5o/mSydZpfu1g0nTUDPq1babZjpU/LgH+3eDR/KhleYaEAAI+AALR45ikE9EiAIU2bRRtzU3nMTWWJmpvU8HipHYDovJs1RdNZMyBJEooO/mCd7hkYgLC77oS5pETF6Grg4Ynm8x6H5OmJK/u+tE6WdDoEDeiHwN63lJ9YLUkqBmlLlmVETH4YHj4+5d0IC0lCQPdu8I/vqtkuROiI4fDw8YFJb6g03TcmGk1nTNPs30pgzwQE9e1jM10XEY7w8WM0GzdzU1nMTeWJmpt2aXQARa7BYrOOPHx86jRfLR7eujrNV4skSZBq2KeShwckb28FI3KcsH8rjFtRzE3lCfu3Imjc1PCw2CQiIiJ1sbNZr/GcTSIiIiJyG3Y2iYiISF2C3A/TZDLhzTffxM6dO3H27Fk0btwYw4YNw5w5c+Dr61vnddesWYO1a9dWu42RI0fi1VdfxaFDh/DQQw9Vu1xqaiq8vLRT4mknEiIiImqQRLlF0aJFi7Bjxw7MnDkTiYmJyM7OxtKlS3Hq1CmsW7euzus+8MADGDhwoM26f/75J2bPno34+PhK0xcuXIhOnTrZLK+lQhNgsUlERER0Q2fOnMG2bdswadIkPPbYYwCAhIQEmM1mLFy4ED/99BN69OhRp3UjIyMRGRlps/6bb76J2NhYPPDAA5Wmt2nTBl26dHHxJ3U9nrNJRERE6hLg2ej79u2DLMsYMWJEpenDhw+HJElISUlxy7rffvst9u7di+eeew6eFR88IBAWm0REREQ3kJmZCUmSEBMTU2l6cHAwIiIikJ5e/VOy6rLu8uXL0b9/f/Tq1atuH0BFLDaJiIhIXQJ0NvPz8xEYGAhvO/eLDQ0NRUFBgcvX/eqrr5CRkYFp06bZnf/ZZ5/h3nvvRffu3ZGYmIg5c+bg9OnTDn4i5fCcTSIiImqwjEYjcnJyalymUaNGKCkpsVssAoBOp8OVK1eqXd/ZdTds2ICEhIRqzwXNyMjA1KlTER4ejt9++w2vv/46fv31V3zyySdo1KhRjZ9JSSw2iYiISF0qXo1+/vx5DBs2rMZlRo4cCV9fXxiNRrvzS0tLa7z1kTPrnjp1Cr/88gv++c9/2szr3r07Dhw4gMaNG8PDo/wg9c0334w2bdpg6tSp2LhxIx5//PEaP5OSWGy6UPj4MZDHjgYASDpxdm3QwP5o1K8vAEDyEufkY9+2MWi19BUAgOQpzhkhHn6+1+P20NbzrW+k+dPzADHuUFIJc1NZzE3liZqbWhAVFYXMzMwbLvfcc8+hqKgIpaWlNl3K/Px8tG/fvtp1mzRpUut19+7dCwAYMGCAzTxvb2+Eh4fbTO/Xrx98fX3x+++/3/DzKEmcb10BSF5eEOvrqZzk6QlJwCvcyp+1LM4PmYUkSZA0+nzrG/HQiRk3c1NZzE3liZqbVgLc1L1Dhw6QZRnZ2dmV7m2Zl5eHvLw8u/e7rMu6KSkpaN++vd1bIQGwW7iWlZXBaDTCx8enth/PrcT7NiAiIqJ6RZJlt71cZciQIfDy8sKuXbsqTbf89x133OGydUtLS5GamorOnTvb3d6zzz6LxMREmwuL9u3bB5PJhMTERMc+lELY2SQiIiK6gcjISEyaNAkbN25EaGgoEhMTkZqaitWrV2PUqFHo0KGDddmJEyfi5MmT+Oabb2q9LlB+E/iysjJERUXZjWXcuHH49NNP8cgjj2DatGkIDw/HkSNHsG7dOsTExOD+++93345wAotNIiIiUpcgj6tMTk5GcHAwduzYgddffx0RERGYPHmy9alAFmazGSaTyal1AaCwsBAAEBAQYDeOTp06YevWrVi9ejUWLFgAvV6PiIgIjBw5EjNnzqx2PbVIsizIv7CLtVm1Qu0QiIiIhHFyzly3bfuODs+4bdufpb/itm2TY9jZJCIiInWZG2Tfq8HgBUJERERE5DbsbBIREZG6GuYZfQ0GO5tERERE5DbsbBIREZG62Nms11hsEhERkbpYbNZrPIxORERERG7DziYRERGpi7c+qtfY2SQiIiIit2Fnk4iIiNQlm9WOgNyInU0iIiIicht2NomIiEhdvBq9XmNnk4iIiIjchp1NIiIiUhevRq/X2Nl0MbPBoHYITjEXF0M2i3eCtizL4u5zxq0oYeNmbiqOcatAlt33ItWx2HSxK/u+hLmkRO0wak1/NBWlublqh1FrxvMXcPWXX9UOo9bksjJc3puidhhOufTZXrVDcApzU1nMTeWJmptU/7HYdCFZlnHtf0dQnH1M7VBqTX80DfrUdLXDqDVDWhoMAsZdfOIkrv38i3AdK9O1ayg68B3KLl9WO5RaYW4qj7mpLFFz04qdzXqNxaYLGS9cRFlePvRH09QOpVZkkwmGjEwYUsWKGyj/IS7Ozoa5tFTtUGrFkJoGU2ERSnP/UDuUWjGkZwBms3BFBHNTecxNZYmam9QwsNh0IUNqavn/pqUJNSouPn4CcnExSnP/EGpUbLp2DSUnT0E2lqE4K1vtcBwmyzL0fxUPesGKCEuxJlrczE1lMTeVJ2puWrGzWa+x2HQhS7KXj4rFOceqYtdEpC8qQ3qG9YtEpI6V8fwFlOXlA4BQHSu5rAyGjEwAEK5jxdxUFnNTWSLnJjUMLDZdxDKStxDlHKuKI3kAQh2CqbiPDWnpwnSsDGnX97dIHaviEychFxcDgFAdK+am8pibyhI1Nysxm933ItWx2HSRiiN5QJxRccWRPCDOqFg2mcr3+V9MhYXCnGNVtdMjSseq6t+0KB0r5qaymJvKEzU3qeFgsekiVZNblFFx1S8pUUbFlnPZKhLhh6Fqlw0Qo/ip2mUDxDn/kbmpLOamskTOzUp4zma9xmLTBSxXjFYlwhesvRhFGBXb+xEQ4YehapcNAAxZxzR//8eqXTYAQlyxy9xUHnNTWaLmpg0Wm/Uai00XsDeSB7R/jpW9kTyg/XOs7I3kAUvH6ooKETnO7vmCZWWav/9jxXPZKtJ60cbcVBZzU3mi5iY1LCw2XaC6UbvWz7GyN5IHtH+OleWeifZouYNS9Vy2irTesaouPi3vb4C5qTTmpvJEzU0bZtl9L1Idi806qm4kD2j/HKuavkS1PCq23DPRHi3HXV2XDdD2OVbVddkAbZ//yNxUHnNTWaLmJjU8LDbryHj+AsyGYoTeNRx+HTtYpzd5aBx828VqdlQsl5Wh+PgJBA3oh6AB/a3TQ0cMR0CPBBjStHuYUZ+aDv/u3RA28m7rtMA+tyBo8K0oOZ2j2Y6VITUNPtFtEP7IROs037Yx1s+h1fs/GtIz4NWkCZqMHwOvsFAAgEdAAMIfngBd00jNFhHMTeUxN5Ulam7aI8tmt71IfV5qByA6Dx8fRL3wLDx8fFCSc/0LyTe6DQJv7o7S8xdUjK565lIjms97Al7BQbiy70vrdK/wcAQPvhXGixchm82QPLQ1HpFlGU0euA+6yAgYKnSmPAMDETpsKIJvHQDZaAS8vVWM0r7APr0RGhEOs+F6B0XS6RA0oB8Ce98C89UiFaOrnk/rVmgxfx4kT09c/nxv+URJQkC3ePh37VLtYVO1MTeVxdxUnqi5SQ0Pi8068goNqXG+d2SEMoHUkqe/HwC/aufrwsOVC6YWJEmCroZ96hkYqGA0tVPT34KHtw4eYWEKRuO4mv4WJA8P6CK0+bfC3FQWc1N5ouamXTy3sl7T1tCYiIiIiOoVdjaJiIhIXbwfZr3GYpOIiIjUpdEr/sk1eBidiIiIiNyGnU0iIiJSFw+j12vsbBIRERGR27CzSURERKrS6lOayDXY2SQiIiIit2Fnk4iIiNTFczbrNXY2iYiIiMhtJFlumMOJNqtWuHybpecvwHztGgDAp1VLSF5iNI7LLl9GWcElAIAuMgKeAQEqR+QYk94A459/AgC8QoLhpdFHylUlm0woOZ0DAPDw84N3s6YqR+S4kpwzkMvKIHl4wOem1mqH4zDmprKYm8pTIjdPzpnrlu0CwO1+E9y27T2GzW7bNjlGjG9cQWj1Wcs34hUSAq+QELXDqDVPfz94RrdRO4xakzw94Stg3EB5oSYi5qaymJvKEzU3rWReIFSf8TA6EREREbkNO5tERESkKtncIM/oazCE7mxmZGRg6tSpSEhIQHx8PMaPH4/Dhw+rHRYRERHVQyaTCevWrUNSUhI6d+6MAQMGYMmSJSguLnZo/bKyMrz22mto3749nnjiiTq/x/bt23HnnXeic+fO6NOnD55//nlcunSpTp/RHYTtbObk5GDcuHGIjo7G8uXL4evri02bNmHSpEnYsmUL4uPj1Q6RiIiIHCHIOZuLFi3Cjh07MHPmTCQmJiI7OxtLly7FqVOnsG7duhrXPXfuHJKTk3HmzBnUdG22o+/x9ttvY9myZXjkkUfw4osv4ty5c1iyZAlSU1OxY8cOeGnoQkjtRFJLb7zxBkwmEzZs2ICwv650TEhIQFJSElauXIn33ntP3QCJiIio3jhz5gy2bduGSZMm4bHHHgNQXneYzWYsXLgQP/30E3r06FHt+k899RQ8PT2xc+dO9O3bt07vce3aNbz++usYOnQo5s+fb10/KCgIU6dOxSeffIK7777bhZ++boQ8jC7LMlJSUtCnTx9roQkA3t7eSEpKwqFDh1BYWKhihEREROQo2Sy77eUq+/btgyzLGDFiRKXpw4cPhyRJSElJqXH9Bx98EO+99x7Cw8Pr/B4HDx6EXq+3Wa5///4ICQm5YSxKE7LYPHv2LIqKihAbG2szLzY2FmazGVlZWSpERkRERPVRZmYmJElCTExMpenBwcGIiIhAenp6jevfeeedNzy07eh7ZGZmAoBNHSRJEqKjo28Yi9KEPIyen58PAAgNDbWZZ5lmWYaIiIg0ToBzNvPz8xEYGAhvb2+beaGhoSgoKFDsPW5UB2VkZNQ5FlcSstgsLS0FALv/GDqdDgBueGXY4bFTXR8YERERCcVoNCInJ6fGZRo1aoSSkhK7dQdQXntcuXKlzrE4+h4lJSUAqq+DLPO1Qshi08fHB0D5H0hVlkLUz8+vxm2EhzdyfWBERERUa1+YP1Ttvc+fP49hw4bVuMzIkSPh6+trt+4AymsPX1/fOsfi6HtY/tdoNNq8r6ticSUhi03LybX2WtZ5eXmVliEiIiKqTlRUlPUcyJo899xzKCoqQmlpqU1HMT8/H+3bt69zLE2aNHHoPZo0aQKgvA5q1KiRzXJaq4GEvECoadOmCA0NtfvHkZmZCZ1Oh3bt2qkQGREREdVHHTp0gCzLyM7OrjQ9Ly8PeXl56NSpk2Lv0aFDBwCwqYNMJhOOHTuGzp071zkWVxKy2ASA22+/HQcPHsTFixet0/R6Pfbu3Yv+/fsjICBAxeiIiIioPhkyZAi8vLywa9euStMt/33HHXco9h59+vRBcHCwzXJffPEFrl275pJYXEnIw+gAMGPGDHz++eeYPn06Zs2aBZ1Oh7feegsGgwHJyclqh0dERET1SGRkJCZNmoSNGzciNDQUiYmJSE1NxerVqzFq1ChrtxEAJk6ciJMnT+Kbb74BUH4eZdUuZGFhIX7//XcA5VeQR0VFOfwePj4+SE5OxoIFC7B48WIkJSUhJycHS5YswS233ILBgwcrtFccI8k1PTNJ444fP45ly5bh8OHDkGUZ3bp1Q3JyMrp06aJ2aERERFTPyLKMjRs3YseOHTh79iwiIiJwzz334LHHHrPeDQcAJkyYgBMnTuC7774DAOTm5tZYAI4cORKvvvpqrd4DAD7++GO8++67OHnyJEJCQjB06FA8/vjjCAwMdMOnd57QxWZtZWRk4LXXXsPPP/+MsrIydOnSBbNnz0ZiYqLaodULGRkZePzxx3Hy5El8+umnNjel5f53rYMHD2LNmjVIS0uDj48P2rZti2nTpmHAgAHWZbjPXWf//v14++23kZ2dDaPRiPbt22PSpElISkqyLsP97T4//vgjJkyYgJ49e2Lz5s3W6dznrjFhwgQcPnzY7rzp06fjiSeeAMD9Tc4R9pzN2srJycG4ceNw6dIlLF++HOvXr0dgYCAmTZqEI0eOqB2e8LZs2YL7778fV69etTuf+9+19u/fj0ceeQSBgYFYs2YNli1bBh8fH0ydOhWfffYZAO5zV9q1axcee+wxtGjRAv/617+wcuVKeHl5YdasWfj0008BcH+7U2lpKZ5//nlU7Y1wn7tWp06d8NFHH9m8xo4dC4D7m+pAbiCefvppOT4+Xs7Pz7dOKykpkQcMGCBPnDhRvcDqgUOHDsldunSRP/zwQ3n16tVyu3bt5GPHjlVahvvfte688045KSlJLi0ttU7T6/VyYmKiPGbMGFmWuc9d6dZbb5XHjh1baVpRUZF88803yxMmTJBlmfvbnVauXCn37t1bHjVqlDx+/HjrdO5z1xk/fnylfWsP9zc5q0F0NmVZRkpKCvr06YOwsDDrdG9vbyQlJeHQoUMoLCxUMUKxhYSEYPv27bjvvvvszuf+dy1ZlvHYY49h4cKFlc7f8fPzQ+vWrfHnn39yn7tQSUkJJk+ejDlz5lSaHhgYiOjoaJw9e5b7242ysrLw9ttvY+7cufD397dO5z5XFvc31UWDKDbPnj2LoqIimwfWA+UPsTebzcjKylIhsvqhXbt26NixY7Xzuf9dS5IkDBs2DLfcckul6UajEadPn0arVq24z13Ix8cH48aNszknzWg04ty5c2jTpg33t5uYzWa88MIL6N69O+69995K87jPlcX9TXUh7K2PauNGD6yvuAy5Hve/MtasWYPLly9j7Nix3OduZDKZkJOTg9deew0lJSWYPXs297ebbNu2DampqTb3EgT4veIOly5dwvz58/HDDz8gLy8PrVu3xtixYzFu3Djub6qTBtHZtDwvvboH1gNAcXGxojE1JNz/7rd9+3a8+eabGDVqFJKSkrjP3eTjjz9Gx44dMXToUJw5cwbvvvsuunTpwv3tBn/++SdWrFiBqVOnIjo62mY+97nr5ebmonnz5lixYgXWrFmDqKgovPTSS9i4cSP3N9VJg+hs+vj4AIDdh9tbEsjPz0/RmBoS7n/3Wrt2LdasWYMRI0bgn//8JwDuc3cZNGgQPv74Y1y8eBH//e9/MWbMGCxcuNB6aJH723UWLlyIiIgITJs2ze58/o271po1a+Dl5VXp/owDBw7Egw8+iNWrV2Pjxo0AuL/JOQ2i2LQ8kL6goMBmXl5eXqVlyPW4/91nwYIF2L59Ox599FHMmzcPkiQB4D53l5CQEISEhAAo/yGeN28eXnzxRezZswcA97er7NmzB19++SU2bNgAo9FoLXBMJhMA4Nq1a2jcuDEA7nNXsfxdVyRJEgYPHlzptkbc3+SMBlFsNm3aFKGhoTaPigLKH2Kv0+nQrl07FSJrGLj/3WPlypX44IMP8Nxzz+Ghhx6qNI/73HUuXLiAr7/+Gt27d0fbtm0rzevUqRN2796NCxcucH+70JdffglZljF16lS782+++WbMnDmT+9yFzGYzzGYzvLwqlwWWQ+MBAQHc3+S0BnHOJgDcfvvtOHjwIC5evGidptfrsXfvXvTv3x8BAQEqRlf/cf+7VkpKCtavX4+5c+faFJoW3OeuUVpain/84x/YsGGDzbxff/0VANCsWTPubxeaPn06tmzZYvPq0KEDOnTogC1btuDee+/lPneRnJwcdO3aFStWrKg03WQyISUlBSEhIWjbti33NzmtwTyu8vz587jrrrsQFRWFWbNmQafT4a233sKRI0fw4Ycf2nQsyHG5ubm4dOkSAGDHjh3YsWMHVq9ejebNmwMA4uLicOnSJe5/FykrK8PQoUMhyzJWrlxpPXReEfe5az311FPYtWsXxo4di9tuuw0AsHfvXmzfvh2jRo3CK6+8wu8YBUyYMAEArI+r5D53nSeeeAJ79uzB5MmT0adPH+j1emzduhUHDhzAokWLcP/993N/k9MaTLEJAMePH8eyZctw+PBhyLKMbt26ITk5GV26dFE7NKHNnz8fO3furHb+vn37EBUVxf3vIrm5uRg8eHCNy3Cfu1ZZWRnef/997Ny5E6dPn4a3tzdatmyJYcOG4eGHH7Zejcv97V5Vi02A+9xVSktLsWnTJnz44Yc4e/YsdDodOnbsiMmTJ2PQoEHW5bi/yRkNqtgkIiIiImU1mHM2iYiIiEh5LDaJiIiIyG1YbBIRERGR27DYJCIiIiK3YbFJRERERG7DYpOIiIiI3IbFJhERERG5DYtNIiIiInIbFptERERE5DYsNolIEWlpaejevTuefPJJVd7/m2++QceOHbFy5UpV3p+IqKHi4yqJyO2uXLmCu+++G40aNcJHH30EHx8fVeJ44403sGrVKqxatQpDhw5VJQYiooaGxSYRud1TTz2FXbt2Ydu2bbj55ptVi8NkMmHkyJE4f/48PvvsM4SFhakWCxFRQ8HD6ETkVqmpqdi1axf69u2raqEJAJ6enpg7dy4uX76M9evXqxoLEVFDwWKTiOz66aef0KFDB4wZMwZVD4B89NFHiIuLw9NPP33D7WzevBkA8Oijj1aa/vHHHyMuLg7vvfcefvzxR0yYMAEJCQno2rUrRo8ejcOHD1dafsKECYiLi0NBQQGWLFmCfv36oWvXrhgxYgT27dsHANi9ezfuvvtuxMfHY9CgQVi0aBGMRmOl7fTv3x8tWrTAhx9+CL1eX+v9QkREtcNik4js6tGjByZPnoxffvkFW7dutU7Py8vD0qVL0aJFCzz//PM1bkOWZXzzzTcICAhAz5497S5z5MgRzJ49G4mJiXj++ecxevRo/P7775g2bRry8vJsll+0aBFOnTqFOXPmYPLkydb//84772DNmjUYNWoUnnnmGfj4+GDz5s3YtGlTpfUlSULfvn2h1+vx1Vdf1X7HEBFRrXipHQARadfs2bNx4MABvPbaaxg8eDCaNm2KRYsWoaioCG+88QYCAwNrXD8jIwP5+fkYNGgQvLzsf918/vnn2LlzJ9q3bw8AuOeee3DlyhX85z//wTfffINRo0ZVWr6wsBBvv/229b/z8/PxwQcfYM2aNfjiiy/QpEkTAEBcXBxGjx6NL7/80qar2rdvX3zwwQf46aefMGzYsFrvFyIichw7m0RULW9vbyxbtgxGoxEvvvgi9u/fj88++wxTp05Fjx49brj+yZMnAQBt2rSpdpnevXtbC02L+Ph4AMD58+dtlr///vsr/XeHDh0AAIMGDbIWmgDQsWNHAMDFixdtthEdHQ0AyM3NveFnICKiumFnk4hqFBsbi7lz52Lx4sU4dOgQOnXqhJkzZzq07qVLlwAAjRs3rnaZm266yWaar68vAKCsrMxmXosWLSr9t+U2StVNt7cNy1XoBQUF1cZFRESuwc4mEd3QPffcAx8fH+j1eowcORI6nc6h9QoLCwEAjRo1qnaZ2t5z09vb2+50R2OqGE9RUVGt3puIiGqPxSYR3dBLL72EsrIyxMTEYPXq1Th37pxD6wUFBQHQXlFniaemIpiIiFyDxSYR1ejTTz/F//t//w+TJ0/GmjVrUFxcjKeeegpms/mG64aGhgIov4hHSyzx8KbuRETux2KTiKp1/vx5LFy4EDExMZg1axZiYmIwc+ZMHD58GBs3brzh+pYLgywXCmmFJZ6oqCiVIyEiqv9YbBKRXbIs49lnn0VhYSEWL15sPVdy8uTJ6NSpE1atWoX09PQat9G+fXs0btwYhw4dsnuhjloOHDgAAA5dUU9ERHXDYpOI7Nq6dSsOHDiAhx9+GN26dbNO9/LywuLFiwEA8+bNQ0lJSbXbkCQJ/fv3x7Vr1/Djjz+6O2SHyLKMAwcOwN/fHwMHDlQ7HCKiek+Sqz6HjojIhVJTUzFq1Cj07dvXoUPv7vb1119j6tSpePjhh/HMM8+oHQ4RUb3HziYRuVWnTp1w991348CBA/jll19UjcVkMuG1115DSEgIpk+frmosREQNBYtNInK7Z599Fs2aNcOCBQtqPOzubhs2bEBGRgYWLlxovVKeiIjci8UmEbldSEgI3njjDeTm5uIf//iHKjF8++23WLt2LaZPn46hQ4eqEgMRUUPEczaJiIiIyG3Y2SQiIiIit2GxSURERERuw2KTiIiIiNyGxSYRERERuQ2LTSIiIiJyGxabREREROQ2LDaJiIiIyG1YbBIRERGR27DYJCIiIiK3+f/oGwIkl24KXAAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "system.m.sel('z').mpl()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Driving the system\n", "\n", "After the system object is created, we can minimise its energy (relax it) using the Minimisation Driver (`MinDriver`). At this point, we choose the calculator we want to use. During this workshop, we are going to use OOMMF. Therefore, we import OOMMF calculator - `oommfc`." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running OOMMF (ExeOOMMFRunner)[2023/10/23 15:52]... (0.4 s)\n" ] } ], "source": [ "import oommfc as mc\n", "\n", "md = mc.MinDriver()\n", "md.drive(system)" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The system is now relaxed and its previous magnetisation is now replaced with the new one.\n", "\n", "Please note: `system.m` is updated after using a `Driver`. This means if you use a second `Driver` it will start from the `system.m` that was obtained after the first `Driver`. If you want to start from the initial `system.m` you will have to reinitialise it with a `df.Field` in the same way it was done originally (Cell 5). \n", "\n", "We can plot its slice and compute its average magnetisation." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "system.m.sel('z').resample((10, 10)).mpl()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "data": { "text/plain": [ "array([ 7.86015824e+06, -2.25800930e-03, 2.14204192e-11])" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "system.m.mean()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "tags": [ "nbval-ignore-output" ] }, "outputs": [ { "data": { "text/plain": [ "array([ 9.82519780e-01, -2.82251136e-10, 2.05391260e-18])" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "system.m.orientation.mean()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that the magnetisation is aligned along the $x$-direction, as expected having in mind we applied the external magnetic field in that direction." ] } ], "metadata": { "anaconda-cloud": {}, "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": "916dbcbb3f70747c44a77c7bcd40155683ae19c65e1c03b4aa3499c5328201f1" } }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": {}, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 4 }