2023-08-14 - Lake Boundary.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Rio Primero Groundwater Model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## First we need all necessary imports"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-16T13:08:21.636889Z",
     "start_time": "2023-08-16T13:08:21.255613Z"
    }
   },
   "outputs": [],
   "source": [
    "import os\n",
    "import numpy as np\n",
    "import flopy.modflow as mf\n",
    "import shutil"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* The modflow-files will be stored in './workspace' \n",
    "* Each calculation will delete the files"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-16T13:08:21.642623Z",
     "start_time": "2023-08-16T13:08:21.637707Z"
    }
   },
   "outputs": [],
   "source": [
    "workspace = os.path.join('workspace')\n",
    "\n",
    "if os.path.exists(workspace):\n",
    "    shutil.rmtree(workspace)\n",
    "    \n",
    "if not os.path.exists(workspace):\n",
    "    os.makedirs(workspace)\n"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {},
   "source": [
    "Let's assume we will create a Modflow 2005 Model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Setup Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-16T13:08:21.647141Z",
     "start_time": "2023-08-16T13:08:21.643858Z"
    }
   },
   "outputs": [],
   "source": [
    "model = mf.Modflow(modelname='RP1', exe_name='./modflow/mf2005', model_ws=workspace)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Setup Discretization"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-16T13:08:22.121061Z",
     "start_time": "2023-08-16T13:08:21.651825Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "[<Axes: title={'center': ' model_top'}>,\n <Axes: title={'center': 'botm layer 1'}>,\n <Axes: title={'center': 'botm layer 2'}>,\n <Axes: title={'center': 'botm layer 3'}>]"
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 2 Axes>",
      "image/png": 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WpKWlYfPmzTh//jzGjh2LK1euwGAwQKVSwd3dXXaNt7c3DAYDAMBgMMgSiYbyhjJrcJiDiIjITuqEEnWi+b/H1/00/7KkpAQajUY6r1arG8VOnDhR+vdhw4YhNDQU/v7+2LlzJ1xcXNqv0q3AngkiIiI7MUHZ4gEAGo1GdjSVTNzK3d0dd999N7799lvodDrU1taioqJCFlNaWirNsdDpdI1WdzR8bmoehiVMJoiIiOxECAXMFg5h5QTMm1VVVeHf//43+vbti5EjR8LJyQkZGRlSeVFREYqLi6HX6wEAer0eBQUFKCsrk2LS09Oh0WgQFBRk1XdblUzYa01rVlYWgoODoVarERgYiC1btlj1UERERF1RrXBo8Wit3/3udzh06BC+//57HD58GE899RQcHBzwzDPPQKvVYtasWYiPj8fnn3+OvLw8zJw5E3q9HqNGjQIAjB8/HkFBQZg+fTpOnjyJgwcPYvHixYiOjm5VT8jNrJ4z0dFrWs+fP4+IiAjMnTsX27ZtQ0ZGBl588UX07dsX4eHh1laXiIioyzBDAbOFv8db86Kv//znP3jmmWfwv//9D3369MGYMWNw5MgR9OnTBwDwzjvvQKlUYsqUKaipqUF4eDg2bdokXe/g4IB9+/Zh3rx50Ov1cHNzQ1RUFF577TWrn0shROu320pKSsKePXuQn5/fqKyyshJ9+vTB9u3bMXXqVADA2bNnMXjwYOTk5GDUqFE4cOAAHnvsMVy4cEGaMZqSkoKEhARcunQJKpUKCQkJSE1NRWFhoXTvadOmoaKiAmlpaa1+MKPRCK1WC/83VkDp7Nzq64iI6OfHXF2NHxIWo7KyUjbxsb00/CbtPnkX3Ho23/tw9YoJTw0/12H16ChWz5no6DWtOTk5sns0xDTcozk1NTWN1uUSERF1JTd6Jiwf3ZFVyYQ91rQ2F2M0GnH9+vVm65acnCxbk+vr62vNoxEREXU4cwsrOSwNgXRlVs2Z6EprWm+VmJiI+Ph46bPRaGRCQUREXUqdcESdhUmWlrba7spsSoE6Yk1rczEajcZiwqJWqxutyyUiIupKTELR4tEd2ZRMdMSaVr1eL7tHQ0zDPYiIiLqrGz0Tlo/uyKpkwh5rWufOnYvvvvsOixYtwtmzZ7Fp0ybs3LkTcXFx7f/0REREdtTaHTC7G6tSIHusaQ0ICEBqairi4uKwdu1a9OvXD++//z73mCAiom7PDFgcyjDbryrtyqp9JroT7jNBREStZa99JjbkhcKlR/N/j79eVY+Ykbndbp+J7jk4Q0RE1A21tJdEd91ngskEERGRnZiEEiYLryC3VNaVMZkgIiKykzrhAEeL+0x0z5kHTCaIiIjsxNzCio2fxQ6YRERE1HZ1wgEO7JkgIiKitjILJcwW5kVYKuvKmEwQERHZiQmAycKKDZP9qtKumEwQERHZSZ3ZEQ7m5n9668wc5iAiIiILRAv7TAjuM0FERESW1JkdoDRbmIBp7p4bajOZICIispOWXub1s3jRFxEREbWdWShgtvSiLwtlXRmTCSIiIjupEw5QWtxngsMcREREZAF7JoiIiMgmooVNqwQ3rSIiIiJL6oQCCgsJQx17JoiIiMgSbqdNRERENqkTyhZ6JphMEBERkQXsmSAiIiKbmNHCag5up01ERESWmIQS9RZ6H0zdtGeie9aaiIioG2oY5rB0tNWqVaugUCgQGxsrnTMYDJg+fTp0Oh3c3NwQHByMv/3tb7LrysvLERkZCY1GA3d3d8yaNQtVVVVWfTeTCSIiIjup/6lnwtLRFseOHcO7776LYcOGyc7PmDEDRUVF2Lt3LwoKCjB58mQ8/fTTOHHihBQTGRmJU6dOIT09Hfv27UN2djbmzJlj1fczmSAiIrKThh0wLR3WqqqqQmRkJP70pz+hV69esrLDhw9j/vz5uO+++zBgwAAsXrwY7u7uyMvLAwCcOXMGaWlpeP/99xEaGooxY8Zg/fr12LFjBy5cuNDqOjCZICIispPWJhNGo1F21NTUNHvP6OhoREREICwsrFHZ/fffj48//hjl5eUwm83YsWMHqqur8dBDDwEAcnJy4O7ujpCQEOmasLAwKJVK5Obmtvq5bEommhqfqa6uRnR0NDw9PdGjRw9MmTIFpaWlsuuKi4sREREBV1dXeHl5YeHChaivr5fFZGVlITg4GGq1GoGBgdiyZYstVSUiIup09WZliwcA+Pr6QqvVSkdycnKT99uxYweOHz/ebPnOnTtRV1cHT09PqNVqvPTSS9i9ezcCAwMB3JhT4eXlJbvG0dERHh4eMBgMrX6uNq/maG58Ji4uDqmpqdi1axe0Wi1iYmIwefJkfPnllwAAk8mEiIgI6HQ6HD58GBcvXsSMGTPg5OSElStXAgDOnz+PiIgIzJ07F9u2bUNGRgZefPFF9O3bF+Hh4W2tMhERUacSsLz8U/z0z5KSEmg0Gum8Wq1uFFtSUoIFCxYgPT0dzs7OTd7v1VdfRUVFBT777DP07t0be/bswdNPP41//etfGDp0qC2PItOmZOLm8ZkVK1ZI5ysrK/HnP/8Z27dvxyOPPAIA+PDDDzF48GAcOXIEo0aNwqefforTp0/js88+g7e3N0aMGIHly5cjISEBSUlJUKlUSElJQUBAAP74xz8CAAYPHowvvvgC77zzDpMJIiLqtlr71lCNRiNLJpqSl5eHsrIyBAcHS+dMJhOys7OxYcMGFBUVYcOGDSgsLMQ999wDABg+fDj+9a9/YePGjUhJSYFOp0NZWZnsvvX19SgvL4dOp2v1c7VpmKO58Zm8vDzU1dXJzg8aNAh+fn7IyckBcGN8ZujQofD29pZiwsPDYTQacerUKSnm1nuHh4dL92hKTU1NozEmIiKirqS1wxytMW7cOBQUFCA/P186QkJCEBkZifz8fFy7dg0AoFTK7+ng4ACz2QwA0Ov1qKiokCZkAkBmZibMZjNCQ0NbXRereyYaxmeOHTvWqMxgMEClUsHd3V123tvbWxp7MRgMskSiobyhzFKM0WjE9evX4eLi0ui7k5OTsWzZMmsfh4iIyG5a2zPRGj179sSQIUNk59zc3ODp6YkhQ4agrq4OgYGBeOmll/DWW2/B09MTe/bskZaAAjd6/idMmIDZs2cjJSUFdXV1iImJwbRp0+Dj49PquljVM9EwPrNt27Zmx2c6S2JiIiorK6WjpKSks6tEREQkYxLKFo/24uTkhP3796NPnz54/PHHMWzYMPzlL3/B1q1bMWnSJClu27ZtGDRoEMaNG4dJkyZhzJgxeO+996z6Lqt6Jloanzl48CBqa2tRUVEh650oLS2Vxl50Oh2OHj0qu2/Dao+bY25dAVJaWgqNRtNkrwRwY3JKUxNUiIiIuor27JloSlZWluzzXXfd1WjHy1t5eHhg+/btNn2vVSlQS+MzISEhcHJyQkZGhnRNUVERiouLodfrAdwYnykoKJBN+EhPT4dGo0FQUJAUc/M9GmIa7kFERNQdCaFo8eiOrOqZaGl8BgBmzZqF+Ph4eHh4QKPRYP78+dDr9Rg1ahQAYPz48QgKCsL06dOxevVqGAwGLF68GNHR0VLPwty5c7FhwwYsWrQIL7zwAjIzM7Fz506kpqa2xzMTERF1CpNZCYWFSZYmKyZgdiXt/tbQd955B0qlElOmTEFNTQ3Cw8OxadMmqdzBwQH79u3DvHnzoNfr4ebmhqioKLz22mtSTEBAAFJTUxEXF4e1a9eiX79+eP/997kslIiIujXRwjBHd+2ZUAghRMth3Y/RaIRWq4X/Gyug7GKTRYmIqGsxV1fjh4TFqKysbHF/h7Zo+E0a/snLcHBtfn6f6VoNTk79Y4fVo6O0e88EERERNa2leRHdtWeCyQQREZGdmIUCig5czdFZmEwQERHZidmsgMJsIZmwUNaVMZkgIiKyEw5zEBERkU04zEFEREQ2MZvRwjCHHSvTjphMEBER2QmHOYiIiMgmHOYgIiIi24ifDkvl3RCTCSIiIntp6WVe7JkgIiIiS8xmBcB9JoiIiKjNhMJy7wN7JoiIiMgSYb5xWCrvjphMEBER2QmXhhIREZHtuumKDUuYTBAREdmJMCsgLEyytFTWlTGZICIishvFT4el8u6HyQQREZG9cNMqIiIiskkL+0xYLOvCmEwQERHZiRA3Dkvl3RGTCSIiInthzwQRERHZQiFuHJbKuyMmE0RERPbCCZhERERkEw5zEBERkU1u054JpTXBmzdvxrBhw6DRaKDRaKDX63HgwAGpvLq6GtHR0fD09ESPHj0wZcoUlJaWyu5RXFyMiIgIuLq6wsvLCwsXLkR9fb0sJisrC8HBwVCr1QgMDMSWLVva/oRERERdRUPPhKWjjVatWgWFQoHY2FjZ+ZycHDzyyCNwc3ODRqPBAw88gOvXr0vl5eXliIyMhEajgbu7O2bNmoWqqiqrvtuqZKJfv35YtWoV8vLy8NVXX+GRRx7BE088gVOnTgEA4uLi8M9//hO7du3CoUOHcOHCBUyePFm63mQyISIiArW1tTh8+DC2bt2KLVu2YMmSJVLM+fPnERERgYcffhj5+fmIjY3Fiy++iIMHD1r1YERERF1NwwRMS0dbHDt2DO+++y6GDRsmO5+Tk4MJEyZg/PjxOHr0KI4dO4aYmBgolf/38x8ZGYlTp04hPT0d+/btQ3Z2NubMmWPlcwnbVrV6eHjgzTffxNSpU9GnTx9s374dU6dOBQCcPXsWgwcPRk5ODkaNGoUDBw7gsccew4ULF+Dt7Q0ASElJQUJCAi5dugSVSoWEhASkpqaisLBQ+o5p06ahoqICaWlpra6X0WiEVquF/xsroHR2tuURiYjoNmeursYPCYtRWVkJjUbT7vdv+E3ye2MFlC7N/yaZr1ej2Mp6VFVVITg4GJs2bcKKFSswYsQIrFmzBgAwatQoPProo1i+fHmT1545cwZBQUE4duwYQkJCAABpaWmYNGkS/vOf/8DHx6dVdbCqZ+JmJpMJO3bswNWrV6HX65GXl4e6ujqEhYVJMYMGDYKfnx9ycnIA3MiQhg4dKiUSABAeHg6j0Sj1buTk5Mju0RDTcI/m1NTUwGg0yg4iIqKuRIEWeiZ+irv196ympqbZe0ZHRyMiIqLRb2dZWRlyc3Ph5eWF+++/H97e3njwwQfxxRdfSDE5OTlwd3eXEgkACAsLg1KpRG5ubqufy+pkoqCgAD169IBarcbcuXOxe/duBAUFwWAwQKVSwd3dXRbv7e0Ng8EAADAYDLJEoqG8ocxSjNFolI3x3Co5ORlarVY6fH19rX00IiKijiUULR8AfH19Zb9pycnJTd5ux44dOH78eJPl3333HQAgKSkJs2fPRlpaGoKDgzFu3DicO3cOwI3fXC8vL9l1jo6O8PDwkH6XW8Pq1RwDBw5Efn4+Kisr8cknnyAqKgqHDh2y9jbtLjExEfHx8dJno9HIhIKIiLqWVq7mKCkpkQ1zqNXqRqElJSVYsGAB0tPT4dzEcL7ZbAYAvPTSS5g5cyYA4N5770VGRgY++OCDZhOUtrA6mVCpVAgMDAQAjBw5EseOHcPatWvx61//GrW1taioqJD1TpSWlkKn0wEAdDodjh49Krtfw2qPm2NuXQFSWloKjUYDFxeXZuulVqubbGwiIqKuQmG+cVgqByCtmrQkLy8PZWVlCA4Ols6ZTCZkZ2djw4YNKCoqAgAEBQXJrhs8eDCKi4sB3PjNLSsrk5XX19ejvLxc+l1ujTbPmWhgNptRU1ODkSNHwsnJCRkZGVJZUVERiouLodfrAQB6vR4FBQWyiqenp0Oj0UgPq9frZfdoiGm4BxERUbclWnG00rhx41BQUID8/HzpCAkJQWRkJPLz8zFgwAD4+PhISUWDb775Bv7+/gBu/OZWVFQgLy9PKs/MzITZbEZoaGir62JVz0RiYiImTpwIPz8/XLlyBdu3b0dWVhYOHjwIrVaLWbNmIT4+Hh4eHtBoNJg/fz70ej1GjRoFABg/fjyCgoIwffp0rF69GgaDAYsXL0Z0dLTUqzB37lxs2LABixYtwgsvvIDMzEzs3LkTqamp1lSViIioy2ltz0Rr9OzZE0OGDJGdc3Nzg6enp3R+4cKFWLp0KYYPH44RI0Zg69atOHv2LD755BMAN3opJkyYgNmzZyMlJQV1dXWIiYnBtGnTWr2SA7AymSgrK8OMGTNw8eJFaLVaDBs2DAcPHsSjjz4KAHjnnXegVCoxZcoU1NTUIDw8HJs2bZKud3BwwL59+zBv3jzo9Xq4ubkhKioKr732mhQTEBCA1NRUxMXFYe3atejXrx/ef/99hIeHW1NVIiKiruemSZbNlrej2NhYVFdXIy4uDuXl5Rg+fDjS09Nx5513SjHbtm1DTEwMxo0bJ/2Gr1u3zqrvsXmfia6K+0wQEVFr2WufiYCklRZ/k8zV1Tif9EqH1aOj8N0cREREdtKewxxdCZMJIiIie2lpy+xuOlbAZIKIiMhezD8dlsq7ISYTREREdtLSy7za+qKvzmbzPhNERET088aeCSIiIjvhBEwiIiKyXTcdyrCEyQQREZGdsGeCiIiIbNPKt4Z2N0wmiIiI7OR2Xc3BZIKIiMheuM8EERER2YI9E0RERGQbzpkgIiIiW3A1BxEREdmGPRNERERkC/ZMEBERkW3YM0FERES2UPx0WCrvjphMEBER2QmHOYiIiMg2HOYgIiIiWyhECz0TTCaIiIjIIvZMEBERkS24nTYRERHZhBMwiYiIyDa36TCH0prg5ORk/OIXv0DPnj3h5eWFJ598EkVFRbKY6upqREdHw9PTEz169MCUKVNQWloqiykuLkZERARcXV3h5eWFhQsXor6+XhaTlZWF4OBgqNVqBAYGYsuWLW17QiIioq5CtOLohqxKJg4dOoTo6GgcOXIE6enpqKurw/jx43H16lUpJi4uDv/85z+xa9cuHDp0CBcuXMDkyZOlcpPJhIiICNTW1uLw4cPYunUrtmzZgiVLlkgx58+fR0REBB5++GHk5+cjNjYWL774Ig4ePNgOj0xERNQ5GoY5LB3dkUII0eY86NKlS/Dy8sKhQ4fwwAMPoLKyEn369MH27dsxdepUAMDZs2cxePBg5OTkYNSoUThw4AAee+wxXLhwAd7e3gCAlJQUJCQk4NKlS1CpVEhISEBqaioKCwul75o2bRoqKiqQlpbWqroZjUZotVr4v7ECSmfntj4iERH9DJirq/FDwmJUVlZCo9G0+/0bfpNGTH8dDqrmf5NMtdXI/39/6LB6dBSreiZuVVlZCQDw8PAAAOTl5aGurg5hYWFSzKBBg+Dn54ecnBwAQE5ODoYOHSolEgAQHh4Oo9GIU6dOSTE336MhpuEeTampqYHRaJQdREREXcnt2jPR5mTCbDYjNjYWo0ePxpAhQwAABoMBKpUK7u7uslhvb28YDAYp5uZEoqG8ocxSjNFoxPXr15usT3JyMrRarXT4+vq29dGIiIg6RgfOmVi1ahUUCgViY2Mbf60QmDhxIhQKBfbs2SMra808xpa0eTVHdHQ0CgsL8cUXX7T1Fu0qMTER8fHx0mej0ciEgoiIupSO2mfi2LFjePfddzFs2LAmy9esWQOFovFrxBrmMep0Ohw+fBgXL17EjBkz4OTkhJUrV7b6+9vUMxETE4N9+/bh888/R79+/aTzOp0OtbW1qKiokMWXlpZCp9NJMbeu7mj43FKMRqOBi4tLk3VSq9XQaDSyg4iIqCvpiGGOqqoqREZG4k9/+hN69erVqDw/Px9//OMf8cEHHzQq+/TTT3H69Gl89NFHGDFiBCZOnIjly5dj48aNqK2tbXUdrEomhBCIiYnB7t27kZmZiYCAAFn5yJEj4eTkhIyMDOlcUVERiouLodfrAQB6vR4FBQUoKyuTYtLT06HRaBAUFCTF3HyPhpiGexAREXVLrRzmuHUOYE1NTbO3jI6ORkRERKO5hgBw7do1PPvss9i4caP0F/abtWYeY2tYNcwRHR2N7du34x//+Ad69uwpzXHQarVwcXGBVqvFrFmzEB8fDw8PD2g0GsyfPx96vR6jRo0CAIwfPx5BQUGYPn06Vq9eDYPBgMWLFyM6OhpqtRoAMHfuXGzYsAGLFi3CCy+8gMzMTOzcuROpqanWVJeIiKhrEQIKs4WxjJ8WWN46TL906VIkJSU1Ct+xYweOHz+OY8eONXm7uLg43H///XjiiSeaLG/NPMbWsCqZ2Lx5MwDgoYcekp3/8MMP8fzzzwMA3nnnHSiVSkyZMgU1NTUIDw/Hpk2bpFgHBwfs27cP8+bNg16vh5ubG6KiovDaa69JMQEBAUhNTUVcXBzWrl2Lfv364f3330d4eLg11SUiIupSWjtnoqSkRDZc3/CX7ZuVlJRgwYIFSE9Ph3MTWyDs3bsXmZmZOHHihM31bolVyURrtqRwdnbGxo0bsXHjxmZj/P39sX//fov3eeihh+zSAERERHbTyu20WzP3Ly8vD2VlZQgODpbOmUwmZGdnY8OGDZg3bx7+/e9/N1phOWXKFIwdOxZZWVnQ6XQ4evSorPzWeYytwXdzEBER2YnCBCgszFZUmFp/r3HjxqGgoEB2bubMmRg0aBASEhLQu3dvvPTSS7LyoUOH4p133sHjjz8O4MYcxddffx1lZWXw8vIC0HgeY2swmSAiIrKT9lwa2rNnT2mfpwZubm7w9PSUzjfVu+Dn5yctoGjNPMbWsGkHTCIiIrKCEC0fdtQwj9HBwQF6vR7PPfccZsyYIZvH2BrsmSAiIrKTlvaSsHU77aysLIvlTc19bM08xpYwmSAiIrKTjtoBs7MxmSAiIrIThdnyPhMW96DowphMEBER2Usrl4Z2N0wmiIiI7ITDHERERGQbkwCUFjIGU/fMJphMEBER2YkCLfRM2K0m7YvJBBERkZ1wAiYRERHZhhMwiYiIyBYKIaCwsMulpbKujMkEERGRnShMAgoLkyYUnIBJREREFnGYg4iIiGzS0su8OMxBRERElnA1BxEREdmko98a2lmYTBAREdmLWdw4LJV3Q0wmiIiI7IRLQ4mIiMg2nIBJREREtlCYhcW9JDgBk4iIiCwTaKFnwm41aVdMJoiIiOzF1MKuVdwBk4iIiCy5XSdgKq29IDs7G48//jh8fHygUCiwZ88eWbkQAkuWLEHfvn3h4uKCsLAwnDt3ThZTXl6OyMhIaDQauLu7Y9asWaiqqpLFfP311xg7diycnZ3h6+uL1atXW/90REREXUnDBExLRzdkdTJx9epVDB8+HBs3bmyyfPXq1Vi3bh1SUlKQm5sLNzc3hIeHo7q6WoqJjIzEqVOnkJ6ejn379iE7Oxtz5syRyo1GI8aPHw9/f3/k5eXhzTffRFJSEt577702PCIREVEXYTa3fHRDVg9zTJw4ERMnTmyyTAiBNWvWYPHixXjiiScAAH/5y1/g7e2NPXv2YNq0aThz5gzS0tJw7NgxhISEAADWr1+PSZMm4a233oKPjw+2bduG2tpafPDBB1CpVLjnnnuQn5+Pt99+W5Z0EBERdStmAIoWyrshq3smLDl//jwMBgPCwsKkc1qtFqGhocjJyQEA5OTkwN3dXUokACAsLAxKpRK5ublSzAMPPACVSiXFhIeHo6ioCJcvX27yu2tqamA0GmUHERFRV9IwZ8LS0R21azJhMBgAAN7e3rLz3t7eUpnBYICXl5es3NHRER4eHrKYpu5x83fcKjk5GVqtVjp8fX1tfyAiIqL2ZDK3fHRD7ZpMdKbExERUVlZKR0lJSWdXiYiISO42nYDZrktDdTodAKC0tBR9+/aVzpeWlmLEiBFSTFlZmey6+vp6lJeXS9frdDqUlpbKYho+N8TcSq1WQ61Wt8tzEBERdQjRwiRLwZ4JBAQEQKfTISMjQzpnNBqRm5sLvV4PANDr9aioqEBeXp4Uk5mZCbPZjNDQUCkmOzsbdXV1Ukx6ejoGDhyIXr16tWeViYiI7KfhraGWjm7I6mSiqqoK+fn5yM/PB3Bj0mV+fj6Ki4uhUCgQGxuLFStWYO/evSgoKMCMGTPg4+ODJ598EgAwePBgTJgwAbNnz8bRo0fx5ZdfIiYmBtOmTYOPjw8A4Nlnn4VKpcKsWbNw6tQpfPzxx1i7di3i4+Pb7cGJiIjsTphbPtpo1apV0u8wcGNPp/nz52PgwIFwcXGBn58ffvvb36KyslJ2XXFxMSIiIuDq6govLy8sXLgQ9fX1Vn231cMcX331FR5++GHpc8MPfFRUFLZs2YJFixbh6tWrmDNnDioqKjBmzBikpaXB2dlZumbbtm2IiYnBuHHjoFQqMWXKFKxbt04q12q1+PTTTxEdHY2RI0eid+/eWLJkCZeFEhFR92ZqIWFo4z4Tx44dw7vvvothw4ZJ5y5cuIALFy7grbfeQlBQEH744QfMnTsXFy5cwCeffHKjOiYTIiIioNPpcPjwYVy8eBEzZsyAk5MTVq5c2ervVwjRTWd7tMBoNEKr1cL/jRVQ3pTIEBER3cpcXY0fEhajsrISGo2m3e/f8JsU5vMSHJXNz++rN9fgswvvWlWPqqoqBAcHY9OmTVixYgVGjBiBNWvWNBm7a9cuPPfcc7h69SocHR1x4MABPPbYY7hw4YK0ajIlJQUJCQm4dOmSbIsGS26b1RxERERdnlm0sAPmjb/f37pvUk1NTbO3jI6ORkREhGyPp+Y0JCmOjjcGJnJycjB06FDZdgzh4eEwGo04depUqx+LyQQREZG9tHI7bV9fX9neScnJyU3ebseOHTh+/Hiz5Tf773//i+XLl8umDLRlX6em8K2hRERE9tLSXhI/lZWUlMiGOZra+qCkpAQLFixAenq6bF5iU4xGIyIiIhAUFISkpKQ2Vd0SJhNERET20soJmBqNpsU5E3l5eSgrK0NwcPD/3d5kQnZ2NjZs2ICamho4ODjgypUrmDBhAnr27Indu3fDyclJitfpdDh69Kjsvi3t69QUDnMQERHZiRDmFo/WGjduHAoKCqTtGvLz8xESEoLIyEjk5+fDwcFBegu3SqXC3r17G/Vg6PV6FBQUyDaTTE9Ph0ajQVBQUKvrwp4JIiIiexEtbExlxQLLnj17YsiQIbJzbm5u8PT0xJAhQ6RE4tq1a/joo49kL8Hs06cPHBwcMH78eAQFBWH69OlYvXo1DAYDFi9ejOjoaKt2lWYyQUREZC8mE6AwNV8uLJRZ6fjx49LbuAMDA2Vl58+fR//+/eHg4IB9+/Zh3rx50Ov1cHNzQ1RUFF577TWrvovJBBERkb0IAaB9eiaakpWVJf37Qw89hNZsJeXv74/9+/fb9L1MJoiIiOxEmEwQFnomRDv2TNgTkwkiIiJ7MQtA0XE9E52FyQQREZG9CAHA0ivImUwQERGRBTeGOZrflYHDHERERGRRnbkWwsIEzHrU2bE27YfJBBERUQdTqVTQ6XT4wrCvxVidTtfqt3V2FUwmiIiIOpizszPOnz+P2traFmNVKlWL79roaphMEBER2YGzs3O3SxJai+/mICIiIpswmSAiIiKbMJkgIiIimzCZICIiIpswmSAiIiKbMJkgIiIimzCZICIiIpswmSAiIiKbMJkgIiIim3TpZGLjxo3o378/nJ2dERoaiqNHj3Z2lYiIiOgWXTaZ+PjjjxEfH4+lS5fi+PHjGD58OMLDw1FWVtbZVSMiIqKbdNlk4u2338bs2bMxc+ZMBAUFISUlBa6urvjggw86u2pERER0ky75oq/a2lrk5eUhMTFROqdUKhEWFoacnJwmr6mpqUFNTY30ubKyEgBgrq7u2MoSEVG31/BbIYTo5Jp0T10ymfjvf/8Lk8kEb29v2Xlvb2+cPXu2yWuSk5OxbNmyRudLlq7okDoSEdHt58qVK9BqtZ1djW6nSyYTbZGYmIj4+Hjpc0VFBfz9/VFcXMz/MJpgNBrh6+uLkpISaDSazq5Ol8P2sYztYxnbp2VdrY2EELhy5Qp8fHw6uyrdUpdMJnr37g0HBweUlpbKzpeWlkKn0zV5jVqthlqtbnReq9V2if9QuyqNRsP2sYDtYxnbxzK2T8u6UhvxL55t1yUnYKpUKowcORIZGRnSObPZjIyMDOj1+k6sGREREd2qS/ZMAEB8fDyioqIQEhKC++67D2vWrMHVq1cxc+bMzq4aERER3aTLJhO//vWvcenSJSxZsgQGgwEjRoxAWlpao0mZzVGr1Vi6dGmTQx/E9mkJ28cyto9lbJ+WsY1uLwrBdTBERERkgy45Z4KIiIi6DyYTREREZBMmE0RERGQTJhNERERkk9symfg5vLo8OTkZv/jFL9CzZ094eXnhySefRFFRkSymuroa0dHR8PT0RI8ePTBlypRGG4EVFxcjIiICrq6u8PLywsKFC1FfXy+LycrKQnBwMNRqNQIDA7Fly5aOfrx2t2rVKigUCsTGxkrn2D7Ajz/+iOeeew6enp5wcXHB0KFD8dVXX0nlQggsWbIEffv2hYuLC8LCwnDu3DnZPcrLyxEZGQmNRgN3d3fMmjULVVVVspivv/4aY8eOhbOzM3x9fbF69Wq7PJ8tTCYTXn31VQQEBMDFxQV33nknli9fLnt3w8+pfbKzs/H444/Dx8cHCoUCe/bskZXbsy127dqFQYMGwdnZGUOHDsX+/fvb/XnJSuI2s2PHDqFSqcQHH3wgTp06JWbPni3c3d1FaWlpZ1etXYWHh4sPP/xQFBYWivz8fDFp0iTh5+cnqqqqpJi5c+cKX19fkZGRIb766isxatQocf/990vl9fX1YsiQISIsLEycOHFC7N+/X/Tu3VskJiZKMd99951wdXUV8fHx4vTp02L9+vXCwcFBpKWl2fV5bXH06FHRv39/MWzYMLFgwQLp/M+9fcrLy4W/v794/vnnRW5urvjuu+/EwYMHxbfffivFrFq1Smi1WrFnzx5x8uRJ8ctf/lIEBASI69evSzETJkwQw4cPF0eOHBH/+te/RGBgoHjmmWek8srKSuHt7S0iIyNFYWGh+Otf/ypcXFzEu+++a9fntdbrr78uPD09xb59+8T58+fFrl27RI8ePcTatWulmJ9T++zfv1/84Q9/EH//+98FALF7925Zub3a4ssvvxQODg5i9erV4vTp02Lx4sXCyclJFBQUdHgbUPNuu2TivvvuE9HR0dJnk8kkfHx8RHJycifWquOVlZUJAOLQoUNCCCEqKiqEk5OT2LVrlxRz5swZAUDk5OQIIW78z0GpVAqDwSDFbN68WWg0GlFTUyOEEGLRokXinnvukX3Xr3/9axEeHt7Rj9Qurly5Iu666y6Rnp4uHnzwQSmZYPsIkZCQIMaMGdNsudlsFjqdTrz55pvSuYqKCqFWq8Vf//pXIYQQp0+fFgDEsWPHpJgDBw4IhUIhfvzxRyGEEJs2bRK9evWS2qzhuwcOHNjej9SuIiIixAsvvCA7N3nyZBEZGSmE+Hm3z63JhD3b4umnnxYRERGy+oSGhoqXXnqpXZ+RrHNbDXM0vLo8LCxMOtfSq8tvFw2vXPfw8AAA5OXloa6uTtYWgwYNgp+fn9QWOTk5GDp0qGwjsPDwcBiNRpw6dUqKufkeDTHdpT2jo6MRERHR6BnYPsDevXsREhKCX/3qV/Dy8sK9996LP/3pT1L5+fPnYTAYZM+n1WoRGhoqayN3d3eEhIRIMWFhYVAqlcjNzZViHnjgAahUKikmPDwcRUVFuHz5ckc/Zpvdf//9yMjIwDfffAMAOHnyJL744gtMnDgRANvnZvZsi+78Z+52dlslE5ZeXW4wGDqpVh3PbDYjNjYWo0ePxpAhQwAABoMBKpUK7u7ustib28JgMDTZVg1llmKMRiOuX7/eEY/Tbnbs2IHjx48jOTm5URnbB/juu++wefNm3HXXXTh48CDmzZuH3/72t9i6dSuA/3tGS3+eDAYDvLy8ZOWOjo7w8PCwqh27ot///veYNm0aBg0aBCcnJ9x7772IjY1FZGQkALbPzezZFs3FdJe2ul112e20qfWio6NRWFiIL774orOr0mWUlJRgwYIFSE9Ph7Ozc2dXp0sym80ICQnBypUrAQD33nsvCgsLkZKSgqioqE6uXefbuXMntm3bhu3bt+Oee+5Bfn4+YmNj4ePjw/YhusVt1TPRlleXd3cxMTHYt28fPv/8c/Tr1086r9PpUFtbi4qKCln8zW2h0+mabKuGMksxGo0GLi4u7f047SYvLw9lZWUIDg6Go6MjHB0dcejQIaxbtw6Ojo7w9vb+WbcPAPTt2xdBQUGyc4MHD0ZxcTGA/3tGS3+edDodysrKZOX19fUoLy+3qh27ooULF0q9E0OHDsX06dMRFxcn9XT93NvnZvZsi+Ziuktb3a5uq2Ti5/TqciEEYmJisHv3bmRmZiIgIEBWPnLkSDg5OcnaoqioCMXFxVJb6PV6FBQUyP6Ap6enQ6PRSD8yer1edo+GmK7enuPGjUNBQQHy8/OlIyQkBJGRkdK//5zbBwBGjx7daDnxN998A39/fwBAQEAAdDqd7PmMRiNyc3NlbVRRUYG8vDwpJjMzE2azGaGhoVJMdnY26urqpJj09HQMHDgQvXr16rDns9W1a9egVMr/F+ng4ACz2QyA7XMze7ZFd/4zd1vr7Bmg7W3Hjh1CrVaLLVu2iNOnT4s5c+YId3d32Yz828G8efOEVqsVWVlZ4uLFi9Jx7do1KWbu3LnCz89PZGZmiq+++kro9Xqh1+ul8oalj+PHjxf5+fkiLS1N9OnTp8mljwsXLhRnzpwRGzdu7DZLH29182oOIdg+R48eFY6OjuL1118X586dE9u2bROurq7io48+kmJWrVol3N3dxT/+8Q/x9ddfiyeeeKLJ5X733nuvyM3NFV988YW46667ZMv9KioqhLe3t5g+fbooLCwUO3bsEK6url1u6eOtoqKixB133CEtDf373/8uevfuLRYtWiTF/Jza58qVK+LEiRPixIkTAoB4++23xYkTJ8QPP/wghLBfW3z55ZfC0dFRvPXWW+LMmTNi6dKlXBraBdx2yYQQQqxfv174+fkJlUol7rvvPnHkyJHOrlK7A9Dk8eGHH0ox169fF7/5zW9Er169hKurq3jqqafExYsXZff5/vvvxcSJE4WLi4vo3bu3ePnll0VdXZ0s5vPPPxcjRowQKpVKDBgwQPYd3cmtyQTbR4h//vOfYsiQIUKtVotBgwaJ9957T1ZuNpvFq6++Kry9vYVarRbjxo0TRUVFspj//e9/4plnnhE9evQQGo1GzJw5U1y5ckUWc/LkSTFmzBihVqvFHXfcIVatWtXhz2Yro9EoFixYIPz8/ISzs7MYMGCA+MMf/iBbtvhzap/PP/+8yf/nREVFCSHs2xY7d+4Ud999t1CpVOKee+4RqampHfbc1Dp8BTkRERHZ5LaaM0FERET2x2SCiIiIbMJkgoiIiGzCZIKIiIhswmSCiIiIbMJkgoiIiGzCZIKIiIhswmSCiIiIbMJkgoiIiGzCZIKIiIhswmSCiIiIbMJkgoiIiGzy/wF5bnbJu8/A3AAAAABJRU5ErkJggg=="
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 2 Axes>",
      "image/png": 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G95KotlBWH1dXV+h0ujrny8rK8NFHH2HDhg148MEHAQCffPIJevXqhcOHD2Pw4MH48ssvcfLkSXz11Vfw8/PDgAEDMG/ePCQmJmLu3LlQqVRW14PDHERERA5SA0WjBwCYTCbZUVFRUe/9zpw5A39/f3Tv3h3R0dEoKCgAAGRnZ6OqqgqRkZFSbM+ePREYGIjMzEwAQGZmJvr27Qs/Pz8pJioqCiaTCXl5eTY9F5MJIiIiB7E2mQgICIBWq5WOpKSkOveKiIjA2rVrkZaWhlWrVuHcuXO49957ceXKFRiNRqhUKnh5ecmu8fPzg9FoBAAYjUZZIlFbXltmCw5zEBEROUiVUKJKNPz3+Kpf5l8WFhZCo9FI59VqdZ3YkSNHSv/er18/REREICgoCJs2bYKHh0fzVdoK7JkgIiJykBooGz0AQKPRyI76kolbeXl54be//S1++OEH6HQ6VFZWorS0VBZTVFQkzbHQ6XR1VnfUfq5vHoYlTCaIiIgcRAgFzBYOYeMEzJtdvXoV//rXv9ClSxcMGjQIbm5u2L17t1Sen5+PgoIC6PV6AIBer0dubi6Ki4ulmPT0dGg0GoSGhtr03TYlE45a07p3716EhYVBrVYjJCQEa9eutemhiIiInFGlcGn0sNaf//xn7Nu3D//+979x6NAhPPHEE3BxccEzzzwDrVaLcePGISEhAXv27EF2djaef/556PV6DB48GAAwfPhwhIaGYsyYMfj222+xa9cuzJo1C7GxsVb1hNzM5jkTLb2m9dy5czAYDJg0aRJSUlKwe/duvPjii+jSpQuioqJsrS4REZHTMEMBs4W/x9vyoq///Oc/eOaZZ/Df//4XnTt3xpAhQ3D48GF07twZALB48WIolUqMGjUKFRUViIqKwsqVK6XrXVxcsH37dkyePBl6vR6enp6IiYnBG2+8YfNzKYSwfrutuXPnYuvWrcjJyalTVlZWhs6dO2PDhg146qmnAACnT59Gr169kJmZicGDB2Pnzp14+OGHceHCBWnGaHJyMhITE3Hp0iWoVCokJiYiNTUVJ06ckO49evRolJaWIi0tzeoHM5lM0Gq1CHprPpTu7lZfR0REvz7m8nKcT5yFsrIy2cTH5lL7m7Tl2zvh2aHh3odrV2rwRP8zLVaPlmLznImWXtOamZkpu0dtTO09GlJRUVFnXS4REZEzudEzYfloi2xKJhyxprWhGJPJhOvXrzdYt6SkJNma3ICAAFsejYiIqMWZG1nJYWkIxJnZNGfCmda03mrmzJlISEiQPptMJiYURETkVKqEK6osTLK0tNW2M7MrBWqJNa0NxWg0GosJi1qtrrMul4iIyJnUCEWjR1tkVzLREmta9Xq97B61MbX3ICIiaqtu9ExYPtoim5IJR6xpnTRpEs6ePYsZM2bg9OnTWLlyJTZt2oT4+Pjmf3oiIiIHsnYHzLbGphTIEWtag4ODkZqaivj4eCxduhRdu3bFmjVruMcEERG1eWbA4lCG2XFVaVY27TPRlnCfCSIispaj9plYnh0Bj/YN/z3++tVqxA3KanP7TLTNwRkiIqI2qLG9JNrqPhNMJoiIiBykRihRY+EV5JbKnBmTCSIiIgepEi5wtbjPRNucecBkgoiIyEHMjazY+FXsgElERERNVyVc4MKeCSIiImoqs1DCbGFehKUyZ8ZkgoiIyEFqANRYWLFR47iqNCsmE0RERA5SZXaFi7nhn94qM4c5iIiIyALRyD4TgvtMEBERkSVVZhcozRYmYJrb5obaTCaIiIgcpLGXef0qXvRFRERETWcWCpgtvejLQpkzYzJBRETkIFXCBUqL+0xwmIOIiIgsYM8EERER2UU0smmV4KZVREREZEmVUEBhIWGoYs8EERERWcLttImIiMguVULZSM8EkwkiIiKygD0TREREZBczGlnNwe20iYiIyJIaoUS1hd6HmjbaM9E2a01ERNQG1Q5zWDqaauHChVAoFJg2bZp0zmg0YsyYMdDpdPD09ERYWBj+8Y9/yK4rKSlBdHQ0NBoNvLy8MG7cOFy9etWm72YyQURE5CDVv/RMWDqa4ujRo/jggw/Qr18/2fmxY8ciPz8f27ZtQ25uLp588kk8/fTT+Oabb6SY6Oho5OXlIT09Hdu3b8f+/fsxYcIEm76fyQQREZGD1O6Aaemw1dWrVxEdHY0PP/wQHTt2lJUdOnQIU6ZMwV133YXu3btj1qxZ8PLyQnZ2NgDg1KlTSEtLw5o1axAREYEhQ4bg/fffx8aNG3HhwgWr68BkgoiIyEGsTSZMJpPsqKioaPCesbGxMBgMiIyMrFN2991349NPP0VJSQnMZjM2btyI8vJyDB06FACQmZkJLy8vhIeHS9dERkZCqVQiKyvL6ueyK5mob3ymvLwcsbGx8PHxQfv27TFq1CgUFRXJrisoKIDBYEC7du3g6+uL6dOno7q6Whazd+9ehIWFQa1WIyQkBGvXrrWnqkRERK2u2qxs9ACAgIAAaLVa6UhKSqr3fhs3bsTx48cbLN+0aROqqqrg4+MDtVqNiRMnYsuWLQgJCQFwY06Fr6+v7BpXV1d4e3vDaDRa/VxNXs3R0PhMfHw8UlNTsXnzZmi1WsTFxeHJJ5/EwYMHAQA1NTUwGAzQ6XQ4dOgQLl68iLFjx8LNzQ0LFiwAAJw7dw4GgwGTJk1CSkoKdu/ejRdffBFdunRBVFRUU6tMRETUqgQsL/8Uv/yzsLAQGo1GOq9Wq+vEFhYWYurUqUhPT4e7u3u99/vLX/6C0tJSfPXVV+jUqRO2bt2Kp59+Gl9//TX69u1rz6PINCmZuHl8Zv78+dL5srIyfPTRR9iwYQMefPBBAMAnn3yCXr164fDhwxg8eDC+/PJLnDx5El999RX8/PwwYMAAzJs3D4mJiZg7dy5UKhWSk5MRHByMd999FwDQq1cvHDhwAIsXL2YyQUREbZa1bw3VaDSyZKI+2dnZKC4uRlhYmHSupqYG+/fvx/Lly5Gfn4/ly5fjxIkT6N27NwCgf//++Prrr7FixQokJydDp9OhuLhYdt/q6mqUlJRAp9NZ/VxNGuZoaHwmOzsbVVVVsvM9e/ZEYGAgMjMzAdwYn+nbty/8/PykmKioKJhMJuTl5Ukxt947KipKukd9Kioq6owxERERORNrhzmsMWzYMOTm5iInJ0c6wsPDER0djZycHPz8888AAKVSfk8XFxeYzWYAgF6vR2lpqTQhEwAyMjJgNpsRERFhdV1s7pmoHZ85evRonTKj0QiVSgUvLy/ZeT8/P2nsxWg0yhKJ2vLaMksxJpMJ169fh4eHR53vTkpKwuuvv27r4xARETmMtT0T1ujQoQP69OkjO+fp6QkfHx/06dMHVVVVCAkJwcSJE/HOO+/Ax8cHW7dulZaAAjd6/keMGIHx48cjOTkZVVVViIuLw+jRo+Hv7291XWzqmagdn0lJSWlwfKa1zJw5E2VlZdJRWFjY2lUiIiKSqRHKRo/m4ubmhh07dqBz58545JFH0K9fP/z1r3/FunXr8NBDD0lxKSkp6NmzJ4YNG4aHHnoIQ4YMwerVq236Lpt6Jhobn9m1axcqKytRWloq650oKiqSxl50Oh2OHDkiu2/tao+bY25dAVJUVASNRlNvrwRwY3JKfRNUiIiInEVz9kzUZ+/evbLPd955Z50dL2/l7e2NDRs22PW9NqVAjY3PhIeHw83NDbt375auyc/PR0FBAfR6PYAb4zO5ubmyCR/p6enQaDQIDQ2VYm6+R21M7T2IiIjaIiEUjR5tkU09E42NzwDAuHHjkJCQAG9vb2g0GkyZMgV6vR6DBw8GAAwfPhyhoaEYM2YMFi1aBKPRiFmzZiE2NlbqWZg0aRKWL1+OGTNm4IUXXkBGRgY2bdqE1NTU5nhmIiKiVlFjVkJhYZJljQ0TMJ1Js781dPHixVAqlRg1ahQqKioQFRWFlStXSuUuLi7Yvn07Jk+eDL1eD09PT8TExOCNN96QYoKDg5Gamor4+HgsXboUXbt2xZo1a7gslIiI2jTRyDBHW+2ZUAghRONhbY/JZIJWq0XQW/OhdLLJokRE5FzM5eU4nzgLZWVlje7v0BS1v0n9P3sFLu0ant9X83MFvn3q3RarR0tp9p4JIiIiql9j8yLaas8EkwkiIiIHMQsFFC24mqO1MJkgIiJyELNZAYXZQjJhocyZMZkgIiJyEA5zEBERkV04zEFERER2MZvRyDCHAyvTjJhMEBEROQiHOYiIiMguHOYgIiIi+4hfDkvlbRCTCSIiIkdp7GVe7JkgIiIiS8xmBcB9JoiIiKjJhMJy7wN7JoiIiMgSYb5xWCpvi5hMEBEROQiXhhIREZH92uiKDUuYTBARETmIMCsgLEyytFTmzJhMEBEROYzil8NSedvDZIKIiMhRuGkVERER2aWRfSYsljkxJhNEREQOIsSNw1J5W8RkgoiIyFHYM0FERET2UIgbh6XytojJBBERkaNwAiYRERHZhcMcREREZJfbtGdCaUvwqlWr0K9fP2g0Gmg0Guj1euzcuVMqLy8vR2xsLHx8fNC+fXuMGjUKRUVFsnsUFBTAYDCgXbt28PX1xfTp01FdXS2L2bt3L8LCwqBWqxESEoK1a9c2/QmJiIicRW3PhKWjiRYuXAiFQoFp06bJzmdmZuLBBx+Ep6cnNBoN7rvvPly/fl0qLykpQXR0NDQaDby8vDBu3DhcvXrVpu+2KZno2rUrFi5ciOzsbBw7dgwPPvggHnvsMeTl5QEA4uPj8cUXX2Dz5s3Yt28fLly4gCeffFK6vqamBgaDAZWVlTh06BDWrVuHtWvXYvbs2VLMuXPnYDAY8MADDyAnJwfTpk3Diy++iF27dtn0YERERM6mdgKmpaMpjh49ig8++AD9+vWTnc/MzMSIESMwfPhwHDlyBEePHkVcXByUyv/9/EdHRyMvLw/p6enYvn079u/fjwkTJtj4XMK+Va3e3t54++238dRTT6Fz587YsGEDnnrqKQDA6dOn0atXL2RmZmLw4MHYuXMnHn74YVy4cAF+fn4AgOTkZCQmJuLSpUtQqVRITExEamoqTpw4IX3H6NGjUVpairS0NKvrZTKZoNVqEfTWfCjd3e15RCIius2Zy8txPnEWysrKoNFomv3+tb9JgW/Nh9Kj4d8k8/VyFNhYj6tXryIsLAwrV67E/PnzMWDAACxZsgQAMHjwYPz+97/HvHnz6r321KlTCA0NxdGjRxEeHg4ASEtLw0MPPYT//Oc/8Pf3t6oONvVM3KympgYbN27EtWvXoNfrkZ2djaqqKkRGRkoxPXv2RGBgIDIzMwHcyJD69u0rJRIAEBUVBZPJJPVuZGZmyu5RG1N7j4ZUVFTAZDLJDiIiImeiQCM9E7/E3fp7VlFR0eA9Y2NjYTAY6vx2FhcXIysrC76+vrj77rvh5+eH+++/HwcOHJBiMjMz4eXlJSUSABAZGQmlUomsrCyrn8vmZCI3Nxft27eHWq3GpEmTsGXLFoSGhsJoNEKlUsHLy0sW7+fnB6PRCAAwGo2yRKK2vLbMUozJZJKN8dwqKSkJWq1WOgICAmx9NCIiopYlFI0fAAICAmS/aUlJSfXebuPGjTh+/Hi95WfPngUAzJ07F+PHj0daWhrCwsIwbNgwnDlzBsCN31xfX1/Zda6urvD29pZ+l61h82qOHj16ICcnB2VlZfjss88QExODffv22XqbZjdz5kwkJCRIn00mExMKIiJyLlau5igsLJQNc6jV6jqhhYWFmDp1KtLT0+Fez3C+2WwGAEycOBHPP/88AGDgwIHYvXs3Pv744wYTlKawOZlQqVQICQkBAAwaNAhHjx7F0qVL8cc//hGVlZUoLS2V9U4UFRVBp9MBAHQ6HY4cOSK7X+1qj5tjbl0BUlRUBI1GAw8PjwbrpVar621sIiIiZ6Ew3zgslQOQVk1akp2djeLiYoSFhUnnampqsH//fixfvhz5+fkAgNDQUNl1vXr1QkFBAYAbv7nFxcWy8urqapSUlEi/y9Zo8pyJWmazGRUVFRg0aBDc3Nywe/duqSw/Px8FBQXQ6/UAAL1ej9zcXFnF09PTodFopIfV6/Wye9TG1N6DiIiozRJWHFYaNmwYcnNzkZOTIx3h4eGIjo5GTk4OunfvDn9/fympqPX9998jKCgIwI3f3NLSUmRnZ0vlGRkZMJvNiIiIsLouNvVMzJw5EyNHjkRgYCCuXLmCDRs2YO/evdi1axe0Wi3GjRuHhIQEeHt7Q6PRYMqUKdDr9Rg8eDAAYPjw4QgNDcWYMWOwaNEiGI1GzJo1C7GxsVKvwqRJk7B8+XLMmDEDL7zwAjIyMrBp0yakpqbaUlUiIiKnY23PhDU6dOiAPn36yM55enrCx8dHOj99+nTMmTMH/fv3x4ABA7Bu3TqcPn0an332GYAbvRQjRozA+PHjkZycjKqqKsTFxWH06NFWr+QAbEwmiouLMXbsWFy8eBFarRb9+vXDrl278Pvf/x4AsHjxYiiVSowaNQoVFRWIiorCypUrpetdXFywfft2TJ48GXq9Hp6enoiJicEbb7whxQQHByM1NRXx8fFYunQpunbtijVr1iAqKsqWqhIRETmfmyZZNljejKZNm4by8nLEx8ejpKQE/fv3R3p6Ou644w4pJiUlBXFxcRg2bJj0G75s2TKbvsfufSacFfeZICIiazlqn4nguQss/iaZy8txbu6rLVaPlsJ3cxARETlIcw5zOBMmE0RERI7S2JbZbXSsgMkEERGRo5h/OSyVt0FMJoiIiByksZd5NfVFX63N7n0miIiI6NeNPRNEREQOwgmYREREZL82OpRhCZMJIiIiB2HPBBEREdnHyreGtjVMJoiIiBzkdl3NwWSCiIjIUbjPBBEREdmDPRNERERkH86ZICIiIntwNQcRERHZhz0TREREZA/2TBAREZF92DNBRERE9lD8clgqb4uYTBARETkIhzmIiIjIPhzmICIiInsoRCM9E0wmiIiIyCL2TBAREZE9uJ02ERER2YUTMImIiMg+t+kwh9KW4KSkJPzud79Dhw4d4Ovri8cffxz5+fmymPLycsTGxsLHxwft27fHqFGjUFRUJIspKCiAwWBAu3bt4Ovri+nTp6O6uloWs3fvXoSFhUGtViMkJARr165t2hMSERE5C2HF0QbZlEzs27cPsbGxOHz4MNLT01FVVYXhw4fj2rVrUkx8fDy++OILbN68Gfv27cOFCxfw5JNPSuU1NTUwGAyorKzEoUOHsG7dOqxduxazZ8+WYs6dOweDwYAHHngAOTk5mDZtGl588UXs2rWrGR6ZiIioddQOc1g62iKFEKLJedClS5fg6+uLffv24b777kNZWRk6d+6MDRs24KmnngIAnD59Gr169UJmZiYGDx6MnTt34uGHH8aFCxfg5+cHAEhOTkZiYiIuXboElUqFxMREpKam4sSJE9J3jR49GqWlpUhLS7OqbiaTCVqtFkFvzYfS3b2pj0hERL8C5vJynE+chbKyMmg0mma/f+1v0oAxb8JF1fBvUk1lOXL+9lqL1aOl2NQzcauysjIAgLe3NwAgOzsbVVVViIyMlGJ69uyJwMBAZGZmAgAyMzPRt29fKZEAgKioKJhMJuTl5UkxN9+jNqb2HvWpqKiAyWSSHURERM7kdu2ZaHIyYTabMW3aNNxzzz3o06cPAMBoNEKlUsHLy0sW6+fnB6PRKMXcnEjUlteWWYoxmUy4fv16vfVJSkqCVquVjoCAgKY+GhERUctowTkTCxcuhEKhwLRp0+p+rRAYOXIkFAoFtm7dKiuzZh5jY5q8miM2NhYnTpzAgQMHmnqLZjVz5kwkJCRIn00mExMKIiJyKi21z8TRo0fxwQcfoF+/fvWWL1myBApF3deI1c5j1Ol0OHToEC5evIixY8fCzc0NCxYssPr7m9QzERcXh+3bt2PPnj3o2rWrdF6n06GyshKlpaWy+KKiIuh0Oinm1tUdtZ8bi9FoNPDw8Ki3Tmq1GhqNRnYQERE5k5YY5rh69Sqio6Px4YcfomPHjnXKc3Jy8O677+Ljjz+uU/bll1/i5MmTWL9+PQYMGICRI0di3rx5WLFiBSorK62ug03JhBACcXFx2LJlCzIyMhAcHCwrHzRoENzc3LB7927pXH5+PgoKCqDX6wEAer0eubm5KC4ulmLS09Oh0WgQGhoqxdx8j9qY2nsQERG1SVYOc9w6B7CioqLBW8bGxsJgMNSZawgAP//8M5599lmsWLFC+gv7zayZx2gNm4Y5YmNjsWHDBvzzn/9Ehw4dpDkOWq0WHh4e0Gq1GDduHBISEuDt7Q2NRoMpU6ZAr9dj8ODBAIDhw4cjNDQUY8aMwaJFi2A0GjFr1izExsZCrVYDACZNmoTly5djxowZeOGFF5CRkYFNmzYhNTXVluoSERE5FyGgMFsYy/hlgeWtw/Rz5szB3Llz64Rv3LgRx48fx9GjR+u9XXx8PO6++2489thj9ZZbM4/RGjYlE6tWrQIADB06VHb+k08+wZ/+9CcAwOLFi6FUKjFq1ChUVFQgKioKK1eulGJdXFywfft2TJ48GXq9Hp6enoiJicEbb7whxQQHByM1NRXx8fFYunQpunbtijVr1iAqKsqW6hIRETkVa+dMFBYWyobra/+yfbPCwkJMnToV6enpcK9nC4Rt27YhIyMD33zzjd31boxNyYQ1W1K4u7tjxYoVWLFiRYMxQUFB2LFjh8X7DB061CENQERE5DBWbqdtzdy/7OxsFBcXIywsTDpXU1OD/fv3Y/ny5Zg8eTL+9a9/1VlhOWrUKNx7773Yu3cvdDodjhw5Iiu/dR6jNfhuDiIiIgdR1AAKC7MVFTXW32vYsGHIzc2VnXv++efRs2dPJCYmolOnTpg4caKsvG/fvli8eDEeeeQRADfmKL755psoLi6Gr68vgLrzGK3BZIKIiMhBmnNpaIcOHaR9nmp5enrCx8dHOl9f70JgYKC0gMKaeYzWsGsHTCIiIrKBEI0fDlQ7j9HFxQV6vR7PPfccxo4dK5vHaA32TBARETlIY3tJ2Lud9t69ey2W1zf30Zp5jI1hMkFEROQgLbUDZmtjMkFEROQgCrPlfSYs7kHhxJhMEBEROYqVS0PbGiYTREREDsJhDiIiIrJPjQCUFjKGmraZTTCZICIichAFGumZcFhNmheTCSIiIgfhBEwiIiKyDydgEhERkT0UQkBhYZdLS2XOjMkEERGRgyhqBBQWJk0oOAGTiIiILOIwBxEREdmlsZd5cZiDiIiILOFqDiIiIrJLS781tLUwmSAiInIUs7hxWCpvg5hMEBEROQiXhhIREZF9OAGTiIiI7KEwC4t7SXACJhEREVkm0EjPhMNq0qyYTBARETlKTSO7VnEHTCIiIrLkdp2AqbT1gv379+ORRx6Bv78/FAoFtm7dKisXQmD27Nno0qULPDw8EBkZiTNnzshiSkpKEB0dDY1GAy8vL4wbNw5Xr16VxXz33Xe499574e7ujoCAACxatMj2pyMiInImtRMwLR1tkM3JxLVr19C/f3+sWLGi3vJFixZh2bJlSE5ORlZWFjw9PREVFYXy8nIpJjo6Gnl5eUhPT8f27duxf/9+TJgwQSo3mUwYPnw4goKCkJ2djbfffhtz587F6tWrm/CIRERETsJsbvxog2we5hg5ciRGjhxZb5kQAkuWLMGsWbPw2GOPAQD++te/ws/PD1u3bsXo0aNx6tQppKWl4ejRowgPDwcAvP/++3jooYfwzjvvwN/fHykpKaisrMTHH38MlUqF3r17IycnB++9954s6SAiImpTzAAUjZS3QTb3TFhy7tw5GI1GREZGSue0Wi0iIiKQmZkJAMjMzISXl5eUSABAZGQklEolsrKypJj77rsPKpVKiomKikJ+fj4uX75c73dXVFTAZDLJDiIiImdSO2fC0tEWNWsyYTQaAQB+fn6y835+flKZ0WiEr6+vrNzV1RXe3t6ymPrucfN33CopKQlarVY6AgIC7H8gIiKi5lRjbvxog5o1mWhNM2fORFlZmXQUFha2dpWIiIjkbtMJmM26NFSn0wEAioqK0KVLF+l8UVERBgwYIMUUFxfLrquurkZJSYl0vU6nQ1FRkSym9nNtzK3UajXUanWzPAcREVGLEI1MshTsmUBwcDB0Oh12794tnTOZTMjKyoJerwcA6PV6lJaWIjs7W4rJyMiA2WxGRESEFLN//35UVVVJMenp6ejRowc6duzYnFUmIiJynNq3hlo62iCbk4mrV68iJycHOTk5AG5MuszJyUFBQQEUCgWmTZuG+fPnY9u2bcjNzcXYsWPh7++Pxx9/HADQq1cvjBgxAuPHj8eRI0dw8OBBxMXFYfTo0fD39wcAPPvss1CpVBg3bhzy8vLw6aefYunSpUhISGi2ByciInI4YW78aKKFCxdKv8PAjT2dpkyZgh49esDDwwOBgYF4+eWXUVZWJruuoKAABoMB7dq1g6+vL6ZPn47q6mqbvtvmYY5jx47hgQcekD7X/sDHxMRg7dq1mDFjBq5du4YJEyagtLQUQ4YMQVpaGtzd3aVrUlJSEBcXh2HDhkGpVGLUqFFYtmyZVK7VavHll18iNjYWgwYNQqdOnTB79mwuCyUioratppGEoYn7TBw9ehQffPAB+vXrJ527cOECLly4gHfeeQehoaE4f/48Jk2ahAsXLuCzzz67UZ2aGhgMBuh0Ohw6dAgXL17E2LFj4ebmhgULFlj9/Qoh2uhsj0aYTCZotVoEvTUfypsSGSIioluZy8txPnEWysrKoNFomv3+tb9Jkf4T4apseH5ftbkCX134wKZ6XL16FWFhYVi5ciXmz5+PAQMGYMmSJfXGbt68Gc899xyuXbsGV1dX7Ny5Ew8//DAuXLggrZpMTk5GYmIiLl26JNuiwZLbZjUHERGR0zOLRnbAvPH3+1v3TaqoqGjwlrGxsTAYDLI9nhpSm6S4ut4YmMjMzETfvn1l2zFERUXBZDIhLy/P6sdiMkFEROQoVm6nHRAQINs7KSkpqd7bbdy4EcePH2+w/GY//fQT5s2bJ5sy0JR9nerDt4YSERE5SmN7SfxSVlhYKBvmqG/rg8LCQkydOhXp6emyeYn1MZlMMBgMCA0Nxdy5c5tUdUuYTBARETmKlRMwNRpNo3MmsrOzUVxcjLCwsP/dvqYG+/fvx/Lly1FRUQEXFxdcuXIFI0aMQIcOHbBlyxa4ublJ8TqdDkeOHJHdt7F9nerDYQ4iIiIHEcLc6GGtYcOGITc3V9quIScnB+Hh4YiOjkZOTg5cXFykt3CrVCps27atTg+GXq9Hbm6ubDPJ9PR0aDQahIaGWl0X9kwQERE5imhkYyobFlh26NABffr0kZ3z9PSEj48P+vTpIyUSP//8M9avXy97CWbnzp3h4uKC4cOHIzQ0FGPGjMGiRYtgNBoxa9YsxMbG2rSrNJMJIiIiR6mpARQ1DZcLC2U2On78uPQ27pCQEFnZuXPn0K1bN7i4uGD79u2YPHky9Ho9PD09ERMTgzfeeMOm72IyQURE5ChCAGienon67N27V/r3oUOHwpqtpIKCgrBjxw67vpfJBBERkYOImhoICz0Tohl7JhyJyQQREZGjmAWgaLmeidbCZIKIiMhRhABg6RXkTCaIiIjIghvDHA3vysBhDiIiIrKoylwJYWECZjWqHFib5sNkgoiIqIWpVCrodDocMG5vNFan01n9tk5nwWSCiIiohbm7u+PcuXOorKxsNFalUjX6rg1nw2SCiIjIAdzd3dtckmAtvpuDiIiI7MJkgoiIiOzCZIKIiIjswmSCiIiI7MJkgoiIiOzCZIKIiIjswmSCiIiI7MJkgoiIiOzCZIKIiIjs4tTJxIoVK9CtWze4u7sjIiICR44cae0qERER0S2cNpn49NNPkZCQgDlz5uD48ePo378/oqKiUFxc3NpVIyIiops4bTLx3nvvYfz48Xj++ecRGhqK5ORktGvXDh9//HFrV42IiIhu4pQv+qqsrER2djZmzpwpnVMqlYiMjERmZma911RUVKCiokL6XFZWBgAwl5e3bGWJiKjNq/2tEEK0ck3aJqdMJn766SfU1NTAz89Pdt7Pzw+nT5+u95qkpCS8/vrrdc4XzpnfInUkIqLbz5UrV6DValu7Gm2OUyYTTTFz5kwkJCRIn0tLSxEUFISCggL+h1EPk8mEgIAAFBYWQqPRtHZ1nA7bxzK2j2Vsn8Y5WxsJIXDlyhX4+/u3dlXaJKdMJjp16gQXFxcUFRXJzhcVFUGn09V7jVqthlqtrnNeq9U6xX+ozkqj0bB9LGD7WMb2sYzt0zhnaiP+xbPpnHICpkqlwqBBg7B7927pnNlsxu7du6HX61uxZkRERHQrp+yZAICEhATExMQgPDwcd911F5YsWYJr167h+eefb+2qERER0U2cNpn44x//iEuXLmH27NkwGo0YMGAA0tLS6kzKbIharcacOXPqHfogtk9j2D6WsX0sY/s0jm10e1EIroMhIiIiOzjlnAkiIiJqO5hMEBERkV2YTBAREZFdmEwQERGRXW7LZOLX8OrypKQk/O53v0OHDh3g6+uLxx9/HPn5+bKY8vJyxMbGwsfHB+3bt8eoUaPqbARWUFAAg8GAdu3awdfXF9OnT0d1dbUsZu/evQgLC4NarUZISAjWrl3b0o/X7BYuXAiFQoFp06ZJ59g+wI8//ojnnnsOPj4+8PDwQN++fXHs2DGpXAiB2bNno0uXLvDw8EBkZCTOnDkju0dJSQmio6Oh0Wjg5eWFcePG4erVq7KY7777Dvfeey/c3d0REBCARYsWOeT57FFTU4O//OUvCA4OhoeHB+644w7MmzdP9u6GX1P77N+/H4888gj8/f2hUCiwdetWWbkj22Lz5s3o2bMn3N3d0bdvX+zYsaPZn5dsJG4zGzduFCqVSnz88cciLy9PjB8/Xnh5eYmioqLWrlqzioqKEp988ok4ceKEyMnJEQ899JAIDAwUV69elWImTZokAgICxO7du8WxY8fE4MGDxd133y2VV1dXiz59+ojIyEjxzTffiB07dohOnTqJmTNnSjFnz54V7dq1EwkJCeLkyZPi/fffFy4uLiItLc2hz2uPI0eOiG7duol+/fqJqVOnSud/7e1TUlIigoKCxJ/+9CeRlZUlzp49K3bt2iV++OEHKWbhwoVCq9WKrVu3im+//VY8+uijIjg4WFy/fl2KGTFihOjfv784fPiw+Prrr0VISIh45plnpPKysjLh5+cnoqOjxYkTJ8Tf//534eHhIT744AOHPq+t3nzzTeHj4yO2b98uzp07JzZv3izat28vli5dKsX8mtpnx44d4rXXXhOff/65ACC2bNkiK3dUWxw8eFC4uLiIRYsWiZMnT4pZs2YJNzc3kZub2+JtQA277ZKJu+66S8TGxkqfa2pqhL+/v0hKSmrFWrW84uJiAUDs27dPCCFEaWmpcHNzE5s3b5ZiTp06JQCIzMxMIcSN/zkolUphNBqlmFWrVgmNRiMqKiqEEELMmDFD9O7dW/Zdf/zjH0VUVFRLP1KzuHLlirjzzjtFenq6uP/++6Vkgu0jRGJiohgyZEiD5WazWeh0OvH2229L50pLS4VarRZ///vfhRBCnDx5UgAQR48elWJ27twpFAqF+PHHH4UQQqxcuVJ07NhRarPa7+7Ro0dzP1KzMhgM4oUXXpCde/LJJ0V0dLQQ4tfdPrcmE45si6effloYDAZZfSIiIsTEiROb9RnJNrfVMEftq8sjIyOlc429uvx2UfvKdW9vbwBAdnY2qqqqZG3Rs2dPBAYGSm2RmZmJvn37yjYCi4qKgslkQl5enhRz8z1qY9pKe8bGxsJgMNR5BrYPsG3bNoSHh+MPf/gDfH19MXDgQHz44YdS+blz52A0GmXPp9VqERERIWsjLy8vhIeHSzGRkZFQKpXIysqSYu677z6oVCopJioqCvn5+bh8+XJLP2aT3X333di9eze+//57AMC3336LAwcOYOTIkQDYPjdzZFu05T9zt7PbKpmw9Opyo9HYSrVqeWazGdOmTcM999yDPn36AACMRiNUKhW8vLxksTe3hdForLetasssxZhMJly/fr0lHqfZbNy4EcePH0dSUlKdMrYPcPbsWaxatQp33nkndu3ahcmTJ+Pll1/GunXrAPzvGS39eTIajfD19ZWVu7q6wtvb26Z2dEb/93//h9GjR6Nnz55wc3PDwIEDMW3aNERHRwNg+9zMkW3RUExbaavbldNup03Wi42NxYkTJ3DgwIHWrorTKCwsxNSpU5Geng53d/fWro5TMpvNCA8Px4IFCwAAAwcOxIkTJ5CcnIyYmJhWrl3r27RpE1JSUrBhwwb07t0bOTk5mDZtGvz9/dk+RLe4rXommvLq8rYuLi4O27dvx549e9C1a1fpvE6nQ2VlJUpLS2XxN7eFTqert61qyyzFaDQaeHh4NPfjNJvs7GwUFxcjLCwMrq6ucHV1xb59+7Bs2TK4urrCz8/vV90+ANClSxeEhobKzvXq1QsFBQUA/veMlv486XQ6FBcXy8qrq6tRUlJiUzs6o+nTp0u9E3379sWYMWMQHx8v9XT92tvnZo5si4Zi2kpb3a5uq2Ti1/TqciEE4uLisGXLFmRkZCA4OFhWPmjQILi5ucnaIj8/HwUFBVJb6PV65Obmyv6Ap6enQ6PRSD8yer1edo/aGGdvz2HDhiE3Nxc5OTnSER4ejujoaOnff83tAwD33HNPneXE33//PYKCggAAwcHB0Ol0suczmUzIysqStVFpaSmys7OlmIyMDJjNZkREREgx+/fvR1VVlRSTnp6OHj16oGPHji32fPb6+eefoVTK/xfp4uICs9kMgO1zM0e2RVv+M3dba+0ZoM1t48aNQq1Wi7Vr14qTJ0+KCRMmCC8vL9mM/NvB5MmThVarFXv37hUXL16Ujp9//lmKmTRpkggMDBQZGRni2LFjQq/XC71eL5XXLn0cPny4yMnJEWlpaaJz5871Ln2cPn26OHXqlFixYkWbWfp4q5tXcwjB9jly5IhwdXUVb775pjhz5oxISUkR7dq1E+vXr5diFi5cKLy8vMQ///lP8d1334nHHnus3uV+AwcOFFlZWeLAgQPizjvvlC33Ky0tFX5+fmLMmDHixIkTYuPGjaJdu3ZOt/TxVjExMeI3v/mNtDT0888/F506dRIzZsyQYn5N7XPlyhXxzTffiG+++UYAEO+995745ptvxPnz54UQjmuLgwcPCldXV/HOO++IU6dOiTlz5nBpqBO47ZIJIYR4//33RWBgoFCpVOKuu+4Shw8fbu0qNTsA9R6ffPKJFHP9+nXx0ksviY4dO4p27dqJJ554Qly8eFF2n3//+99i5MiRwsPDQ3Tq1Em88soroqqqShazZ88eMWDAAKFSqUT37t1l39GW3JpMsH2E+OKLL0SfPn2EWq0WPXv2FKtXr5aVm81m8Ze//EX4+fkJtVothg0bJvLz82Ux//3vf8Uzzzwj2rdvLzQajXj++efFlStXZDHffvutGDJkiFCr1eI3v/mNWLhwYYs/m71MJpOYOnWqCAwMFO7u7qJ79+7itddeky1b/DW1z549e+r9f05MTIwQwrFtsWnTJvHb3/5WqFQq0bt3b5Gamtpiz03W4SvIiYiIyC631ZwJIiIicjwmE0RERGQXJhNERERkFyYTREREZBcmE0RERGQXJhNERERkFyYTREREZBcmE0RERGQXJhNERERkFyYTREREZBcmE0RERGQXJhNERERkl/8HTjOUl8PN4HAAAAAASUVORK5CYII="
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 2 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 2 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nlay = 3\n",
    "nrow = 6\n",
    "ncol = 11\n",
    "\n",
    "delr = 6000/nrow\n",
    "delc = 11000/ncol\n",
    "\n",
    "dis = mf.ModflowDis(model, nlay=nlay, nrow=nrow, ncol=ncol, delr=delr, delc=delc, top=460, botm=390, nper=1, steady=True)\n",
    "dis.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Setup Boundary Conditions East/West"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-16T13:08:22.354223Z",
     "start_time": "2023-08-16T13:08:22.118549Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "[<Axes: title={'center': ' CHD location stress period 1 layer 1'}>,\n <Axes: title={'center': ' CHD location stress period 1 layer 2'}>,\n <Axes: title={'center': ' CHD location stress period 1 layer 3'}>]"
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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w//7f/0NBQYHsLMypU6ekdvN/TSYTzpw5IzvrUt7PZ3XIzMzEb7/9hvXr12Ps2LHS8od9zDd27Fj84x//wPbt27F79264urrKQoN5fDUaTZWO76OYPz568GwR1W51958EVCuNGDEC7dq1w+LFi5GamlqmvaCgAO+8885T2feFCxcwbtw4qFQqzJkzp1LrWllZoX///vjxxx9ld5fNzc3Fxo0b0bNnT+mMzvDhw3H06NEys36A/zu7YT778eDZjrS0tDJjYp6tkp+f/5d9NL+5mmfrmP3zn/8EgCqboXL9+nXZc0tLS+mjGfN0bfM9OCrSb7OXX34ZqampiIuLK9OWn5+PkpKSCu//zzWOjo5o0aJFmenkD7NmzRrZx3oxMTEoKSnBwIEDAQA6nQ4ajQZLliyR1ZldvXq1Qvv5sxdeeAGlpaX497//LVv+ySefwMLCQtq/+b8rV66U1f35ta8u5f08CyFkU9sf1L59e7Rv3x5r167Fd999h1GjRsnOWgUEBKB58+b4+OOPpY98H/S44/uodb/88ktYWFigc+fOj71tql48A0PVysbGBt9//z2CgoLQu3dvvPzyy+jRowdsbGyQlZWFjRs3on79+k98L5jDhw/jq6++gslkQn5+Pg4ePIjvvvsOFhYW+O9//1vhayEe9OGHHyI+Ph49e/bE9OnTYW1tjc8//xyFhYWy+8rMmTMH3377LUaOHIkJEyYgICAAN27cwLZt27B69Wp06NABgwYNwvfff4+hQ4ciODgY586dw+rVq+Hv7y/7g21nZwd/f3988803eOaZZ9CgQQO0bdsWbdu2LdO/Dh06ICwsDGvWrEF+fj769OmDAwcOYP369RgyZIjsjMKTmDRpEm7cuIHnnnsOTZo0wYULF/Dpp5+iY8eO0pmfjh07wsrKCh999BEMBgPUajWee+45uLm5PXS7c+bMwbZt2zBo0CBpOvft27eRmZmJb7/9FufPn0fDhg0rtH9/f388++yzCAgIQIMGDXDo0CF8++23sq+deJSioiL069cPL7/8MrKzs7Fq1Sr07NkTL774IoD7ZwZiYmIwZswYdO7cGaNGjYKrqytycnKwc+dO9OjRo0wIqYjBgwejb9++eOedd3D+/Hl06NABP/30E3788UdERERIZyY6duyIkJAQrFq1CgaDAd27d0dCQgJ+//33Cu9r+/btOHr0KID79805duwYPvzwQwDAiy++WKnfET8/PzRv3hxvvvkmLl26BI1Gg+++++6R11ONHTsWb775JgCUOSNqaWmJtWvXYuDAgWjTpg3Gjx+Pxo0b49KlS0hKSoJGo8H27dsr3L8HLV68GPv27cOAAQPg7e2NGzdu4LvvvsPBgwfx+uuvl7mGjGqxGpwBRX9jN2/eFPPnzxft2rUT9vb2wtbWVrRt21ZERUWJK1euSHVhYWHCwcHhodvBQ6ZRmx/W1taiQYMGIjAwUERFRcmmc/4VlDMd9fDhw0Kn0wlHR0dhb28v+vbtK/bv319m3evXr4sZM2aIxo0bC5VKJZo0aSLCwsLEtWvXhBD3p4kuWbJE+Pj4CLVaLTp16iR27NhRZlqtEELs379fBAQECJVKJevTn6dRCyFEcXGxWLRokfD19RU2NjbCy8tLREVFiXv37snqfHx8yp1m3KdPH9GnT59Hjsu3334r+vfvL9zc3IRKpRLe3t7itddek71uQgjxxRdfiGbNmgkrKyvZlNuH7VuI+9OTo6KiRIsWLYRKpRINGzYU3bt3Fx9//LE0rbki+//www9F165dhbOzs7CzsxN+fn5i8eLFsqnR5TFPo05OThZTpkwR9evXF46OjiI0NFRcv369TH1SUpLQ6XTCyclJ2NraiubNm4tx48aJQ4cOSTWP+hku7/UuKCgQkZGRwtPTU9jY2IiWLVuK5cuXy6YTCyHE3bt3xRtvvCFcXFyEg4ODGDx4sLh48WKFp1E/6hYF5unMD1PeNOoTJ06IoKAg4ejoKBo2bCgmT54sjh49+tDtXblyRVhZWYlnnnnmofs5cuSIGDZsmHBxcRFqtVr4+PiIl19+WSQkJEg15t+Dq1ev/uUxCyHETz/9JAYNGiSNb7169USPHj3EunXryowx1W4WQvDbq4iIgPt34h0/fjwOHjyILl261HR36rRr166hUaNGmD9/Pt57772a7g4pEK+BISKiahcbG4vS0tJK35WbyIzXwBARUbVJTEzEiRMnsHjxYgwZMoTfVk6PjQGGiIiqzfvvv4/9+/ejR48e+PTTT2u6O6Rglf4I6dKlS3j11Vfh4uICOzs7tGvXDocOHZLahRCYP38+GjVqBDs7OwQFBZW5nfeNGzcQGhoKjUYDZ2dnTJw4scxUuWPHjqFXr16wtbWFl5fXY397MBFRRY0bNw5CCF7/8hTt3bsXRUVFSEpKkr64kehxVCrA3Lx5U5ryunv3bpw4cQL/+Mc/ZLdzXrZsGVauXInVq1cjLS0NDg4O0Ol0uHfvnlQTGhqKrKwsxMfHY8eOHUhJScGUKVOkdqPRiP79+8PHxwfp6elYvnw5Fi5ciDVr1lTBIRMREZHSVWoW0ltvvYV9+/bh559/LrddCAFPT0/Mnj1bmt9vMBjg7u6O2NhYjBo1CidPnoS/v7/sKv89e/bghRdewB9//AFPT0/ExMTgnXfegV6vl77w7q233sIPP/wg3ZGSiIiI/r4qdQ3Mtm3boNPpMHLkSCQnJ6Nx48aYPn06Jk+eDAA4d+4c9Hq97NbPTk5OCAwMRGpqKkaNGoXU1FQ4OzvLTtEGBQXB0tISaWlpGDp0KFJTU9G7d28pvAD373z50Ucf4ebNm7IzPmaFhYWyu2yav+HXxcXlsW5rTkRERNVPCIGCggJ4eno+8jvEKhVgzp49i5iYGMyaNQtvv/02Dh48iDfeeAMqlQphYWHQ6/UAAHd3d9l67u7uUptery9zN05ra2s0aNBAVvPnbxY1b1Ov15cbYKKjo7Fo0aLKHA4RERHVUhcvXnzkt7hXKsCYTCZ06dIFS5YsAQB06tQJx48fx+rVqx/5tefVISoqCrNmzZKeGwwGeHt74+LFizX6rcNERERUcUajEV5eXrIvNC1PpQJMo0aN4O/vL1vWunVrfPfddwAgfa18bm4uGjVqJNXk5uZKX4nu4eGBvLw82TZKSkpw48YNaX0PDw/k5ubKaszPy/vqeuD+19Wr1eoyyzUaDQMMERGRwvzV5R+VmoXUo0ePMl/X/ttvv0lf8e7r6wsPDw8kJCRI7UajEWlpadBqtQAArVaL/Px8pKenSzWJiYkwmUwIDAyUalJSUmTf8hofH49WrVqV+/ERERER/b1UKsBERkbi119/xZIlS/D7779j48aNWLNmDcLDwwHcT0sRERH48MMPsW3bNmRmZmLs2LHw9PTEkCFDANw/YzNgwABMnjwZBw4cwL59+zBjxgyMGjUKnp6eAIDRo0dDpVJh4sSJyMrKwjfffIMVK1bIPiIiIiKiv7HKfvvj9u3bRdu2bYVarRZ+fn5izZo1snaTySTee+894e7uLtRqtejXr5/Izs6W1Vy/fl2EhIQIR0dHodFoxPjx40VBQYGs5ujRo6Jnz55CrVaLxo0bi6VLl1aqnwaDQQAQBoOhsodIRERENaSi79919tuojUYjnJycYDAYeA0MERGRQlT0/ZvfRk1ERESKwwBDREREisMAQ0RERIrDAENERESKwwBDREREisMAQ0RERIrDAENERESKwwBDREREisMAQ0RERIrDAENERESKwwBDREREisMAQ0RERIrDAENERESKwwBDREREisMAQ0RERIrDAENERESKwwBDREREisMAQ0RERIrDAENERESKwwBDREREisMAQ0RERIrDAENERESKwwBDREREisMAQ0RERIrDAENERESKwwBDREREisMAQ0RERIrDAENERESKwwBDREREisMAQ0RERIrDAENERESKwwBDREREisMAQ0RERIrDAENERESKU6kAs3DhQlhYWMgefn5+Uvu9e/cQHh4OFxcXODo6Yvjw4cjNzZVtIycnB8HBwbC3t4ebmxvmzJmDkpISWc3evXvRuXNnqNVqtGjRArGxsY9/hERERFTnVPoMTJs2bXDlyhXp8csvv0htkZGR2L59O7Zs2YLk5GRcvnwZw4YNk9pLS0sRHByMoqIi7N+/H+vXr0dsbCzmz58v1Zw7dw7BwcHo27cvMjIyEBERgUmTJiEuLu4JD5WIiIjqCgshhKho8cKFC/HDDz8gIyOjTJvBYICrqys2btyIESNGAABOnTqF1q1bIzU1Fd26dcPu3bsxaNAgXL58Ge7u7gCA1atXY968ebh69SpUKhXmzZuHnTt34vjx49K2R40ahfz8fOzZs6fCB2Y0GuHk5ASDwQCNRlPh9YiIiKjmVPT9u9JnYE6fPg1PT080a9YMoaGhyMnJAQCkp6ejuLgYQUFBUq2fnx+8vb2RmpoKAEhNTUW7du2k8AIAOp0ORqMRWVlZUs2D2zDXmLfxMIWFhTAajbIHERER1U2VCjCBgYGIjY3Fnj17EBMTg3PnzqFXr14oKCiAXq+HSqWCs7OzbB13d3fo9XoAgF6vl4UXc7u57VE1RqMRd+/efWjfoqOj4eTkJD28vLwqc2hERESkINaVKR44cKD0/+3bt0dgYCB8fHywefNm2NnZVXnnKiMqKgqzZs2SnhuNRoYYIiKiOuqJplE7OzvjmWeewe+//w4PDw8UFRUhPz9fVpObmwsPDw8AgIeHR5lZSebnf1Wj0WgeGZLUajU0Go3sQURERHXTEwWYW7du4cyZM2jUqBECAgJgY2ODhIQEqT07Oxs5OTnQarUAAK1Wi8zMTOTl5Uk18fHx0Gg08Pf3l2oe3Ia5xrwNIiIiokoFmDfffBPJyck4f/489u/fj6FDh8LKygohISFwcnLCxIkTMWvWLCQlJSE9PR3jx4+HVqtFt27dAAD9+/eHv78/xowZg6NHjyIuLg7vvvsuwsPDoVarAQBTp07F2bNnMXfuXJw6dQqrVq3C5s2bERkZWfVHT0RERIpUqWtg/vjjD4SEhOD69etwdXVFz5498euvv8LV1RUA8Mknn8DS0hLDhw9HYWEhdDodVq1aJa1vZWWFHTt2YNq0adBqtXBwcEBYWBjef/99qcbX1xc7d+5EZGQkVqxYgSZNmmDt2rXQ6XRVdMhERESkdJW6D4yS8D4wREREyvPU7gNDREREVNMYYIiIiEhxGGCIiIhIcRhgiIiISHEYYIiIiEhxGGCIiIhIcRhgiIiISHEYYIiIiEhxGGCIiIhIcRhgiIiISHEYYIiIiEhxGGCIiIhIcRhgiIiISHEYYIiIiEhxGGCIiIhIcRhgiIiISHEYYIiIiEhxGGCIiIhIcRhgiIiISHEYYIiIiEhxGGCIiIhIcRhgiIiISHEYYIiIiEhxGGCIiIhIcRhgiIiISHEYYIiIiEhxGGCIiIhIcRhgiIiISHEYYIiIiEhxGGCIiIhIcRhgiIiISHEYYIiIiEhxGGCIiIhIcRhgiIiISHGeKMAsXboUFhYWiIiIkJbdu3cP4eHhcHFxgaOjI4YPH47c3FzZejk5OQgODoa9vT3c3NwwZ84clJSUyGr27t2Lzp07Q61Wo0WLFoiNjX2SrhIREVEd8tgB5uDBg/j888/Rvn172fLIyEhs374dW7ZsQXJyMi5fvoxhw4ZJ7aWlpQgODkZRURH279+P9evXIzY2FvPnz5dqzp07h+DgYPTt2xcZGRmIiIjApEmTEBcX97jdJSIiorpEPIaCggLRsmVLER8fL/r06SNmzpwphBAiPz9f2NjYiC1btki1J0+eFABEamqqEEKIXbt2CUtLS6HX66WamJgYodFoRGFhoRBCiLlz54o2bdrI9vnKK68InU5X4T4aDAYBQBgMhsc5RCIiIqoBFX3/fqwzMOHh4QgODkZQUJBseXp6OoqLi2XL/fz84O3tjdTUVABAamoq2rVrB3d3d6lGp9PBaDQiKytLqvnztnU6nbSN8hQWFsJoNMoeREREVDdZV3aFTZs24fDhwzh48GCZNr1eD5VKBWdnZ9lyd3d36PV6qebB8GJuN7c9qsZoNOLu3buws7Mrs+/o6GgsWrSosodDREREClSpMzAXL17EzJkzsWHDBtja2j6tPj2WqKgoGAwG6XHx4sWa7hIRERE9JZUKMOnp6cjLy0Pnzp1hbW0Na2trJCcnY+XKlbC2toa7uzuKioqQn58vWy83NxceHh4AAA8PjzKzkszP/6pGo9GUe/YFANRqNTQajexBREREdVOlAky/fv2QmZmJjIwM6dGlSxeEhoZK/29jY4OEhARpnezsbOTk5ECr1QIAtFotMjMzkZeXJ9XEx8dDo9HA399fqnlwG+Ya8zaIiIjo761S18DUq1cPbdu2lS1zcHCAi4uLtHzixImYNWsWGjRoAI1Gg9dffx1arRbdunUDAPTv3x/+/v4YM2YMli1bBr1ej3fffRfh4eFQq9UAgKlTp+Lf//435s6diwkTJiAxMRGbN2/Gzp07q+KYiYiISOEqfRHvX/nkk09gaWmJ4cOHo7CwEDqdDqtWrZLarayssGPHDkybNg1arRYODg4ICwvD+++/L9X4+vpi586diIyMxIoVK9CkSROsXbsWOp2uqrtLRERECmQhhBA13YmnwWg0wsnJCQaDgdfDEBERKURF37/5XUhERESkOAwwREREpDgMMERERKQ4DDBERESkOAwwREREpDgMMERERKQ4DDBERESkOAwwREREpDgMMERERKQ4DDBERESkOAwwREREpDgMMERERKQ4DDBERESkOAwwREREpDgMMERERKQ4DDBERESkOAwwREREpDgMMERERKQ4DDBERESkOAwwREREpDgMMERERKQ4DDBERESkOAwwREREpDgMMERERKQ4DDBERESkOAwwREREpDgMMERERKQ4DDBERESkOAwwREREpDgMMERERKQ4DDBERESkOAwwREREpDgMMERERKQ4DDBERESkOJUKMDExMWjfvj00Gg00Gg20Wi12794ttd+7dw/h4eFwcXGBo6Mjhg8fjtzcXNk2cnJyEBwcDHt7e7i5uWHOnDkoKSmR1ezduxedO3eGWq1GixYtEBsb+/hHSERERHVOpQJMkyZNsHTpUqSnp+PQoUN47rnn8NJLLyErKwsAEBkZie3bt2PLli1ITk7G5cuXMWzYMGn90tJSBAcHo6ioCPv378f69esRGxuL+fPnSzXnzp1DcHAw+vbti4yMDERERGDSpEmIi4urokMmIiIipbMQQogn2UCDBg2wfPlyjBgxAq6urti4cSNGjBgBADh16hRat26N1NRUdOvWDbt378agQYNw+fJluLu7AwBWr16NefPm4erVq1CpVJg3bx527tyJ48ePS/sYNWoU8vPzsWfPngr3y2g0wsnJCQaDARqN5kkOkYiIiKpJRd+/H/samNLSUmzatAm3b9+GVqtFeno6iouLERQUJNX4+fnB29sbqampAIDU1FS0a9dOCi8AoNPpYDQapbM4qampsm2Ya8zbeJjCwkIYjUbZg4iIiOqmSgeYzMxMODo6Qq1WY+rUqdi6dSv8/f2h1+uhUqng7Owsq3d3d4derwcA6PV6WXgxt5vbHlVjNBpx9+7dh/YrOjoaTk5O0sPLy6uyh0ZEREQKUekA06pVK2RkZCAtLQ3Tpk1DWFgYTpw48TT6VilRUVEwGAzS4+LFizXdJSIiInpKrCu7gkqlQosWLQAAAQEBOHjwIFasWIFXXnkFRUVFyM/Pl52Fyc3NhYeHBwDAw8MDBw4ckG3PPEvpwZo/z1zKzc2FRqOBnZ3dQ/ulVquhVqsrezhERESkQE98HxiTyYTCwkIEBATAxsYGCQkJUlt2djZycnKg1WoBAFqtFpmZmcjLy5Nq4uPjodFo4O/vL9U8uA1zjXkbRERERJU6AxMVFYWBAwfC29sbBQUF2LhxI/bu3Yu4uDg4OTlh4sSJmDVrFho0aACNRoPXX38dWq0W3bp1AwD0798f/v7+GDNmDJYtWwa9Xo93330X4eHh0tmTqVOn4t///jfmzp2LCRMmIDExEZs3b8bOnTur/uiJiIhIkSoVYPLy8jB27FhcuXIFTk5OaN++PeLi4vD8888DAD755BNYWlpi+PDhKCwshE6nw6pVq6T1rayssGPHDkybNg1arRYODg4ICwvD+++/L9X4+vpi586diIyMxIoVK9CkSROsXbsWOp2uig6ZiIiIlO6J7wNTW/E+MERERMrz1O8DQ0RERFRTGGCIiIhIcRhgiIiISHEYYIiIiEhxGGCIiIhIcRhgiIiISHEYYIiIiEhxGGCIiIhIcRhgiIiISHEYYIiIiEhxGGCIiIhIcRhgiIiISHEYYIiIiEhxGGCIiIhIcRhgiIiISHEYYIiIiEhxGGCIiIhIcRhgiIiISHEYYIiIiEhxGGCIiIhIcRhgiIiISHEYYIiIiEhxGGCIiIhIcRhgiIiISHEYYIiIiEhxGGCIiIhIcRhgiIiISHEYYIiIiEhxGGCIiIhIcRhgiIiISHEYYIiIiEhxGGCIiIhIcRhgiIiISHEYYIiIiEhxKhVgoqOj8T//8z+oV68e3NzcMGTIEGRnZ8tq7t27h/DwcLi4uMDR0RHDhw9Hbm6urCYnJwfBwcGwt7eHm5sb5syZg5KSElnN3r170blzZ6jVarRo0QKxsbGPd4RERERU51QqwCQnJyM8PBy//vor4uPjUVxcjP79++P27dtSTWRkJLZv344tW7YgOTkZly9fxrBhw6T20tJSBAcHo6ioCPv378f69esRGxuL+fPnSzXnzp1DcHAw+vbti4yMDERERGDSpEmIi4urgkMmIiIipbMQQojHXfnq1atwc3NDcnIyevfuDYPBAFdXV2zcuBEjRowAAJw6dQqtW7dGamoqunXrht27d2PQoEG4fPky3N3dAQCrV6/GvHnzcPXqVahUKsybNw87d+7E8ePHpX2NGjUK+fn52LNnT4X6ZjQa4eTkBIPBAI1G87iHSERERNWoou/fT3QNjMFgAAA0aNAAAJCeno7i4mIEBQVJNX5+fvD29kZqaioAIDU1Fe3atZPCCwDodDoYjUZkZWVJNQ9uw1xj3kZ5CgsLYTQaZQ8iIiKqmx47wJhMJkRERKBHjx5o27YtAECv10OlUsHZ2VlW6+7uDr1eL9U8GF7M7ea2R9UYjUbcvXu33P5ER0fDyclJenh5eT3uoREREVEt99gBJjw8HMePH8emTZuqsj+PLSoqCgaDQXpcvHixprtERERET4n146w0Y8YM7NixAykpKWjSpIm03MPDA0VFRcjPz5edhcnNzYWHh4dUc+DAAdn2zLOUHqz588yl3NxcaDQa2NnZldsntVoNtVr9OIdDREREClOpMzBCCMyYMQNbt25FYmIifH19Ze0BAQGwsbFBQkKCtCw7Oxs5OTnQarUAAK1Wi8zMTOTl5Uk18fHx0Gg08Pf3l2oe3Ia5xrwNIiIi+nur1Cyk6dOnY+PGjfjxxx/RqlUrabmTk5N0ZmTatGnYtWsXYmNjodFo8PrrrwMA9u/fD+D+NOqOHTvC09MTy5Ytg16vx5gxYzBp0iQsWbIEwP1p1G3btkV4eDgmTJiAxMREvPHGG9i5cyd0Ol2F+spZSERERMpT4fdvUQkAyn2sW7dOqrl7966YPn26qF+/vrC3txdDhw4VV65ckW3n/PnzYuDAgcLOzk40bNhQzJ49WxQXF8tqkpKSRMeOHYVKpRLNmjWT7aMiDAaDACAMBkOl1iMiIqKaU9H37ye6D0xtxjMwREREylMt94EhIiIiqgkMMERERKQ4DDBERESkOAwwREREpDgMMERERKQ4DDBERESkOAwwREREpDgMMERERKQ4DDBERESkOAwwREREpDgMMERERKQ4DDBERESkOAwwREREpDgMMERERKQ4DDBERESkOAwwREREpDgMMERERKQ4DDBERESkOAwwREREpDgMMERERKQ4DDBERESkOAwwREREpDgMMERERKQ4DDBERESkOAwwREREpDgMMERERKQ4DDBERESkOAwwREREpDgMMERERKQ4DDBERESkOAwwREREpDgMMERERKQ4DDBERESkOAwwREREpDiVDjApKSkYPHgwPD09YWFhgR9++EHWLoTA/Pnz0ahRI9jZ2SEoKAinT5+W1dy4cQOhoaHQaDRwdnbGxIkTcevWLVnNsWPH0KtXL9ja2sLLywvLli2r/NERERFRnVTpAHP79m106NABn332Wbnty5Ytw8qVK7F69WqkpaXBwcEBOp0O9+7dk2pCQ0ORlZWF+Ph47NixAykpKZgyZYrUbjQa0b9/f/j4+CA9PR3Lly/HwoULsWbNmsc4RCIiIqpzxBMAILZu3So9N5lMwsPDQyxfvlxalp+fL9Rqtfj666+FEEKcOHFCABAHDx6Uanbv3i0sLCzEpUuXhBBCrFq1StSvX18UFhZKNfPmzROtWrWqcN8MBoMAIAwGw+MeHhEREVWzir5/V+k1MOfOnYNer0dQUJC0zMnJCYGBgUhNTQUApKamwtnZGV26dJFqgoKCYGlpibS0NKmmd+/eUKlUUo1Op0N2djZu3rxZ7r4LCwthNBplDyIiIqqbqjTA6PV6AIC7u7tsubu7u9Sm1+vh5uYma7e2tkaDBg1kNeVt48F9/Fl0dDScnJykh5eX15MfEBEREdVKdWYWUlRUFAwGg/S4ePFiTXeJiIiInpIqDTAeHh4AgNzcXNny3Nxcqc3DwwN5eXmy9pKSEty4cUNWU942HtzHn6nVamg0GtmDiIiI6qYqDTC+vr7w8PBAQkKCtMxoNCItLQ1arRYAoNVqkZ+fj/T0dKkmMTERJpMJgYGBUk1KSgqKi4ulmvj4eLRq1Qr169evyi4TERGRAlU6wNy6dQsZGRnIyMgAcP/C3YyMDOTk5MDCwgIRERH48MMPsW3bNmRmZmLs2LHw9PTEkCFDAACtW7fGgAEDMHnyZBw4cAD79u3DjBkzMGrUKHh6egIARo8eDZVKhYkTJyIrKwvffPMNVqxYgVmzZlXZgRMREZGCVXZ6U1JSkgBQ5hEWFiaEuD+V+r333hPu7u5CrVaLfv36iezsbNk2rl+/LkJCQoSjo6PQaDRi/PjxoqCgQFZz9OhR0bNnT6FWq0Xjxo3F0qVLK9VPTqMmIiJSnoq+f1sIIUQN5qenxmg0wsnJCQaDgdfDEBERKURF37/rzCwkIiIi+vtggCEiIiLFYYAhIiIixWGAISIiIsVhgCEiIiLFYYAhIiIixWGAISIiIsVhgCEiIiLFYYAhIiIixWGAISIiIsVhgCEiIiLFYYAhIiIixWGAISIiIsVhgCEiIiLFYYAhIiIixWGAISIiIsVhgCEiIiLFYYAhIiIixWGAISIiIsVhgCEiIiLFYYAhIiIixWGAISIiIsVhgCEiIiLFYYAhIiIixWGAISIiIsVhgCEiIiLFYYAhIiIixWGAISIiIsVhgCEiIiLFYYAhIiIixWGAISIiIsVhgCEiIiLFYYAhIiIixWGAISIiIsWp1QHms88+Q9OmTWFra4vAwEAcOHCgprtEREREtUCtDTDffPMNZs2ahQULFuDw4cPo0KEDdDod8vLyarprREREVMNqbYD55z//icmTJ2P8+PHw9/fH6tWrYW9vj//85z813TUiIiKqYdY13YHyFBUVIT09HVFRUdIyS0tLBAUFITU1tdx1CgsLUVhYKD03GAwAAKPR+HQ7S0RERFXG/L4thHhkXa0MMNeuXUNpaSnc3d1ly93d3XHq1Kly14mOjsaiRYvKLPfy8noqfSQiIqKnp6CgAE5OTg9tr5UB5nFERUVh1qxZ0vP8/Hz4+PggJyfnkQNAT8ZoNMLLywsXL16ERqOp6e7UWRzn6sFxrj4c6+qhxHEWQqCgoACenp6PrKuVAaZhw4awsrJCbm6ubHlubi48PDzKXUetVkOtVpdZ7uTkpJgXTck0Gg3HuRpwnKsHx7n6cKyrh9LGuSInHmrlRbwqlQoBAQFISEiQlplMJiQkJECr1dZgz4iIiKg2qJVnYABg1qxZCAsLQ5cuXdC1a1f861//wu3btzF+/Pia7hoRERHVsFobYF555RVcvXoV8+fPh16vR8eOHbFnz54yF/Y+jFqtxoIFC8r9WImqDse5enCcqwfHufpwrKtHXR5nC/FX85SIiIiIaplaeQ0MERER0aMwwBAREZHiMMAQERGR4jDAEBERkeIwwBAREZHi1MkA89lnn6Fp06awtbVFYGAgDhw4UNNdqtWio6PxP//zP6hXrx7c3NwwZMgQZGdny2ru3buH8PBwuLi4wNHREcOHDy9zp+ScnBwEBwfD3t4ebm5umDNnDkpKSmQ1e/fuRefOnaFWq9GiRQvExsY+7cOrlZYuXQoLCwtERERIyzjGVefSpUt49dVX4eLiAjs7O7Rr1w6HDh2S2oUQmD9/Pho1agQ7OzsEBQXh9OnTsm3cuHEDoaGh0Gg0cHZ2xsSJE3Hr1i1ZzbFjx9CrVy/Y2trCy8sLy5Ytq5bjqw1KS0vx3nvvwdfXF3Z2dmjevDk++OAD2RfwcZwrLyUlBYMHD4anpycsLCzwww8/yNqrc0y3bNkCPz8/2Nraol27dti1a1eVH+8TEXXMpk2bhEqlEv/5z39EVlaWmDx5snB2dha5ubk13bVaS6fTiXXr1onjx4+LjIwM8cILLwhvb29x69YtqWbq1KnCy8tLJCQkiEOHDolu3bqJ7t27S+0lJSWibdu2IigoSBw5ckTs2rVLNGzYUERFRUk1Z8+eFfb29mLWrFnixIkT4tNPPxVWVlZiz5491Xq8Ne3AgQOiadOmon379mLmzJnSco5x1bhx44bw8fER48aNE2lpaeLs2bMiLi5O/P7771LN0qVLhZOTk/jhhx/E0aNHxYsvvih8fX3F3bt3pZoBAwaIDh06iF9//VX8/PPPokWLFiIkJERqNxgMwt3dXYSGhorjx4+Lr7/+WtjZ2YnPP/+8Wo+3pixevFi4uLiIHTt2iHPnzoktW7YIR0dHsWLFCqmG41x5u3btEu+88474/vvvBQCxdetWWXt1jem+ffuElZWVWLZsmThx4oR49913hY2NjcjMzHzqY1BRdS7AdO3aVYSHh0vPS0tLhaenp4iOjq7BXilLXl6eACCSk5OFEELk5+cLGxsbsWXLFqnm5MmTAoBITU0VQtz/pbO0tBR6vV6qiYmJERqNRhQWFgohhJg7d65o06aNbF+vvPKK0Ol0T/uQao2CggLRsmVLER8fL/r06SMFGI5x1Zk3b57o2bPnQ9tNJpPw8PAQy5cvl5bl5+cLtVotvv76ayGEECdOnBAAxMGDB6Wa3bt3CwsLC3Hp0iUhhBCrVq0S9evXl8bevO9WrVpV9SHVSsHBwWLChAmyZcOGDROhoaFCCI5zVfhzgKnOMX355ZdFcHCwrD+BgYHitddeq9JjfBJ16iOkoqIipKenIygoSFpmaWmJoKAgpKam1mDPlMVgMAAAGjRoAABIT09HcXGxbFz9/Pzg7e0tjWtqairatWsnu1OyTqeD0WhEVlaWVPPgNsw1f6fXJjw8HMHBwWXGgWNcdbZt24YuXbpg5MiRcHNzQ6dOnfDFF19I7efOnYNer5eNk5OTEwIDA2Vj7ezsjC5dukg1QUFBsLS0RFpamlTTu3dvqFQqqUan0yE7Oxs3b9582odZ47p3746EhAT89ttvAICjR4/il19+wcCBAwFwnJ+G6hxTJfwtqVMB5tq1aygtLS3zdQPu7u7Q6/U11CtlMZlMiIiIQI8ePdC2bVsAgF6vh0qlgrOzs6z2wXHV6/Xljru57VE1RqMRd+/efRqHU6ts2rQJhw8fRnR0dJk2jnHVOXv2LGJiYtCyZUvExcVh2rRpeOONN7B+/XoA/zdWj/o7odfr4ebmJmu3trZGgwYNKvV61GVvvfUWRo0aBT8/P9jY2KBTp06IiIhAaGgoAI7z01CdY/qwmto05rX2u5CoZoSHh+P48eP45ZdfarordcrFixcxc+ZMxMfHw9bWtqa7U6eZTCZ06dIFS5YsAQB06tQJx48fx+rVqxEWFlbDvas7Nm/ejA0bNmDjxo1o06YNMjIyEBERAU9PT44zVYs6dQamYcOGsLKyKjNzIzc3Fx4eHjXUK+WYMWMGduzYgaSkJDRp0kRa7uHhgaKiIuTn58vqHxxXDw+Pcsfd3PaoGo1GAzs7u6o+nFolPT0deXl56Ny5M6ytrWFtbY3k5GSsXLkS1tbWcHd35xhXkUaNGsHf31+2rHXr1sjJyQHwf2P1qL8THh4eyMvLk7WXlJTgxo0blXo96rI5c+ZIZ2HatWuHMWPGIDIyUjrDyHGuetU5pg+rqU1jXqcCjEqlQkBAABISEqRlJpMJCQkJ0Gq1Ndiz2k0IgRkzZmDr1q1ITEyEr6+vrD0gIAA2Njaycc3OzkZOTo40rlqtFpmZmbJfnPj4eGg0GunNRKvVyrZhrvk7vDb9+vVDZmYmMjIypEeXLl0QGhoq/T/HuGr06NGjzG0AfvvtN/j4+AAAfH194eHhIRsno9GItLQ02Vjn5+cjPT1dqklMTITJZEJgYKBUk5KSguLiYqkmPj4erVq1Qv369Z/a8dUWd+7cgaWl/C3EysoKJpMJAMf5aajOMVXE35Kavoq4qm3atEmo1WoRGxsrTpw4IaZMmSKcnZ1lMzdIbtq0acLJyUns3btXXLlyRXrcuXNHqpk6darw9vYWiYmJ4tChQ0Kr1QqtViu1m6f49u/fX2RkZIg9e/YIV1fXcqf4zpkzR5w8eVJ89tlnf7spvg96cBaSEBzjqnLgwAFhbW0tFi9eLE6fPi02bNgg7O3txVdffSXVLF26VDg7O4sff/xRHDt2TLz00kvlTkXt1KmTSEtLE7/88oto2bKlbCpqfn6+cHd3F2PGjBHHjx8XmzZtEvb29nV2eu+fhYWFicaNG0vTqL///nvRsGFDMXfuXKmG41x5BQUF4siRI+LIkSMCgPjnP/8pjhw5Ii5cuCCEqL4x3bdvn7C2thYff/yxOHnypFiwYAGnUVeHTz/9VHh7ewuVSiW6du0qfv3115ruUq0GoNzHunXrpJq7d++K6dOni/r16wt7e3sxdOhQceXKFdl2zp8/LwYOHCjs7OxEw4YNxezZs0VxcbGsJikpSXTs2FGoVCrRrFkz2T7+bv4cYDjGVWf79u2ibdu2Qq1WCz8/P7FmzRpZu8lkEu+9955wd3cXarVa9OvXT2RnZ8tqrl+/LkJCQoSjo6PQaDRi/PjxoqCgQFZz9OhR0bNnT6FWq0Xjxo3F0qVLn/qx1RZGo1HMnDlTeHt7C1tbW9GsWTPxzjvvyKbmcpwrLykpqdy/x2FhYUKI6h3TzZs3i2eeeUaoVCrRpk0bsXPnzqd23I/DQogHbptIREREpAB16hoYIiIi+ntggCEiIiLFYYAhIiIixWGAISIiIsVhgCEiIiLFYYAhIiIixWGAISIiIsVhgCEiIiLFYYAhIiIixWGAISIiIsVhgCEiIiLF+f9CkVvukvFfdwAAAABJRU5ErkJggg=="
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "spd = {\n",
    "    0: [\n",
    "        [0, 0, 0, 450, 450],\n",
    "        [0, 1, 0, 450, 450],\n",
    "        [0, 2, 0, 450, 450],\n",
    "        [0, 3, 0, 450, 450],\n",
    "        [0, 4, 0, 450, 450],\n",
    "        [0, 5, 0, 450, 450],\n",
    "        [0, 0, 10, 445, 445],\n",
    "        [0, 1, 10, 445, 445],\n",
    "        [0, 2, 10, 445, 445],\n",
    "        [0, 3, 10, 445, 445],\n",
    "        [0, 4, 10, 445, 445],\n",
    "        [0, 5, 10, 445, 445],\n",
    "    ]\n",
    "}\n",
    "\n",
    "chd = mf.ModflowChd(model, stress_period_data=spd)\n",
    "chd.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Setup Recharge\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-16T13:08:22.470966Z",
     "start_time": "2023-08-16T13:08:22.350772Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "[<Axes: title={'center': 'RECH stress period 1'}>]"
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 2 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rech = {}\n",
    "rech[0] = 0.00033\n",
    "rch = mf.ModflowRch(model, rech=rech)\n",
    "rch.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "source": [
    "### Setup lake"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "outputs": [],
   "source": [
    "# nlakes : int\n",
    "#     NLAKES Number of separate lakes.\n",
    "#     Sublakes of multiple-lake systems are considered separate lakes for\n",
    "#     input purposes. The variable NLAKES is used, with certain internal\n",
    "#     assumptions and approximations, to dimension arrays for the simulation.\n",
    "nlakes = 2\n",
    "\n",
    "# (ILKCB in MODFLOW documentation)\n",
    "# Whether or not to write cell-by-cell flows (yes if ILKCB> 0, no\n",
    "# otherwise). If ILKCB< 0 and \"Save Budget\" is specified in the Output\n",
    "# Control or ICBCFL is not equal to 0, the cell-by-cell flows will be\n",
    "# printed in the standard output file. ICBCFL is specified in the input\n",
    "# to the Output Control Option of MODFLOW.\n",
    "ipakcb = None\n",
    "\n",
    "# lwrt : int or list of ints (one per SP)\n",
    "#     lwrt > 0, suppresses printout from the lake package. Default is 0 (to\n",
    "#     print budget information)\n",
    "lwrt = 0  # print budget information\n",
    "\n",
    "# THETA is a time-weighting factor for the lake package (Merritt and Konikow, 2000, p. 52)\n",
    "# for transient simulations (for steady-state stress periods, THETA is automatically set to 1.0).\n",
    "# if \n",
    "\n",
    "# if set to -1, then the lake bed is horizontal and the lake bottom elevation is constant\n",
    "# can be 1.0, 0.5, 0.0, -0.0(?) -0.5, -1.0\n",
    "# if positive, NSSITR, SSCNCR und SURFDEP will be ignored\n",
    "theta = -1\n",
    "\n",
    "# if theta is negative, NSSITR, SSCNCR und SURFDEP must be specified\n",
    "# nssitr : int\n",
    "#     Maximum number of iterations for Newton's method of solution for\n",
    "#     equilibrium lake stages in each MODFLOW iteration for steady-state\n",
    "#     aquifer head solution. Only read if ISS (option flag input to DIS\n",
    "#     Package of MODFLOW indicating steady-state solution) is not zero or\n",
    "#     if THETA is specified as a negative value.\n",
    "#     *   NSSITR and SSCNCR may be omitted for transient solutions (ISS = 0).\n",
    "#     *   In MODFLOW-2000 and later, ISS is not part of the input.\n",
    "#         Instead NSSITR or SSCNCR should be included if one or more stress\n",
    "#         periods is a steady state stress period as defined in Ss/tr in the\n",
    "#         Discretization file.\n",
    "#     *   SSCNCR and NSSITR can be read for a transient only simulation by\n",
    "#         placing a negative sign immediately in front of THETA. A negative\n",
    "#         THETA sets a flag which assumes input values for NSSITR and SSCNCR\n",
    "#         will follow THETA in the format as described by Merritt and Konikow\n",
    "#         (p. 52). A negative THETA is automatically reset to a positive\n",
    "#         value after values of NSSITR and SSCNCR are read.\n",
    "#     *   If NSSITR = 0, a value of 100 will be used instead.\n",
    "nssitr = 0 # maximum number of iterations for Newton's method of solution for equilibrium lake stages in each MODFLOW iteration for steady-state aquifer head solution\n",
    "\n",
    "# sscncr : float\n",
    "#     Convergence criterion for equilibrium lake stage solution by Newton's\n",
    "#     method. Only read if ISS is not zero or if THETA is specified as a\n",
    "#     negative value. See notes above for nssitr.\n",
    "sscncr = 0.001 # convergence criterion for equilibrium lake stage solution by Newton's method\n",
    "\n",
    "# surfdep : float\n",
    "#     The height of small topological variations (undulations) in lake-bottom\n",
    "#     elevation. Only read if ISS is not zero or if THETA is specified as a\n",
    "#     negative value. See notes above for nssitr.\n",
    "#     Values of SURFDEPTH ranging\n",
    "#     from 0.01 to 0.5 have been used successfully in test simulations.\n",
    "surfdep = 0.01 # height of small topological variations (undulations) in lake-bottom elevation\n",
    "\n",
    "# stages : float or list of floats\n",
    "#     The initial stage of each lake at the beginning of the run.\n",
    "stages = [452, 450] # initial stage of each lake at the beginning of the run\n",
    "\n",
    "# stage_range : list of tuples (ssmn, ssmx) of length nlakes\n",
    "#     Where ssmn and ssmx are the minimum and maximum stages allowed for each\n",
    "#     lake in steady-state solution.\n",
    "#     *   SSMN and SSMX are not needed for a transient run and must be\n",
    "#         omitted when the solution is transient.\n",
    "#     *   When the first stress period is a steady-state stress period,\n",
    "#         SSMN is defined in record 3.\n",
    "# \n",
    "#     For subsequent steady-state stress periods, SSMN is defined in\n",
    "#     record 9a.\n",
    "stage_range = [(450, 455), (448, 452)] # minimum and maximum stages allowed for each lake in steady-state solution\n",
    "\n",
    "# sscncr is the concentration of solutes in the lake water\n"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-08-16T13:08:22.475157Z",
     "start_time": "2023-08-16T13:08:22.471131Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "outputs": [],
   "source": [
    "#LAKARR is a three-dimensional integer array that defines the lake number for each cell.\n",
    "#LAKARR must be specified for every active model cell. If a cell is not a lake, then LAKARR should be set to zero.\n",
    "\n",
    "lakArr = np.zeros((nlay,nrow,ncol))\n",
    "lakArr[0, 4, 9] = 1\n",
    "lakArr[0, 2, 4] = 2"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-08-16T13:08:22.480173Z",
     "start_time": "2023-08-16T13:08:22.476177Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "outputs": [],
   "source": [
    "ibound = np.ones((nlay,nrow,ncol))\n",
    "wetdry = -0.01 * np.ones((nlay,nrow,ncol))\n",
    "\n",
    "ibound = np.where(lakArr > 0, 0, ibound) #IBOUND should be set to zero for every lake cell (LKARR >0)\n",
    "wetdry = np.where(lakArr > 0, 0, wetdry) #WETDRY should be set to zero for every lake cell (LKARR >0)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-08-16T13:08:22.484505Z",
     "start_time": "2023-08-16T13:08:22.481060Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "outputs": [],
   "source": [
    "bdlknc=np.zeros((nlay,nrow,ncol))\n",
    "bdlknc = np.where(lakArr ==1, 10.0, bdlknc) #setting bed leakance value for lake 1\n",
    "bdlknc = np.where(lakArr ==2, 20.0, bdlknc) #setting bed leakance value for lake 2"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-08-16T13:08:22.511148Z",
     "start_time": "2023-08-16T13:08:22.485220Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "outputs": [],
   "source": [
    "flux_data={0:[[0.003, 0.0073, 0.0, 0.0],\n",
    "              [0.005, 0.0073, 0.0, 0.0]]}"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-08-16T13:08:22.511338Z",
     "start_time": "2023-08-16T13:08:22.489940Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "outputs": [],
   "source": [
    "lak = mf.ModflowLak(\n",
    "    model,\n",
    "    nlakes=nlakes,\n",
    "    theta=theta,\n",
    "    nssitr=nssitr,\n",
    "    sscncr=sscncr,\n",
    "    surfdep=surfdep,\n",
    "    stages=[452.0,450],\n",
    "    stage_range=stage_range,\n",
    "    lakarr=lakArr,\n",
    "    bdlknc=bdlknc,\n",
    "    flux_data=flux_data,\n",
    "    unit_number=16,\n",
    "    lwrt=lwrt\n",
    ")"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-08-16T13:08:22.511390Z",
     "start_time": "2023-08-16T13:08:22.495181Z"
    }
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "### Setup Basic Package"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "outputs": [
    {
     "data": {
      "text/plain": "[<Axes: title={'center': 'ibound layer 1'}>,\n <Axes: title={'center': 'ibound layer 2'}>,\n <Axes: title={'center': 'ibound layer 3'}>,\n <Axes: title={'center': 'strt layer 1'}>,\n <Axes: title={'center': 'strt layer 2'}>,\n <Axes: title={'center': 'strt layer 3'}>]"
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 2 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 2 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 2 Axes>",
      "image/png": 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WLl1ao3ij0QgPDw/MmjULvXr1qjTm4MGDGDt2LCZOnIjjx49j+PDhGD58OE6ePGlV37gOBhER3feawjoYMpkMW7ZskVbOrs5jjz2GwMBAvP/++2b1o0ePRmFhIbZv3y7VDRgwAIGBgVixYkWN+2PVSp5ERERUO0VFRSguLq42TghRYdO1qjb0rAtpaWkVtubQ6XTVPn65GxMMIiKiOlZUVAQ/X1for5dVG+vq6oqCggKzutmzZ2POnDl11Dtzer0eGo3GrE6j0UCv11t1HCYYREREday4uBj662U4d8wHqhZVT3805JvQud9lXL582exRjb1GL2yJCQYREZGduLaQwbWFrMp2E263qVSqepsL4uXlhZycHLO6nJwceHl5WXUcvkVCRERkJyWirNpS37RaLVJSUszqkpOTodVqrToORzCIiIjsxAQBE6p+edNSW2UKCgpw7tw56XNWVhYyMjLg7u6O9u3bIy4uDleuXMGaNWukmIyMDOm7N27cQEZGBpycnBAQEAAAeOWVV/Doo49iwYIFCAsLw4YNG3Ds2DGsXLnSqr4xwSAiIrKTUphQUk27NY4dO4YhQ4ZIn8vf/oiMjERiYiKuXbuG7Oxss+/07t1b+nN6ejrWr18PX19fXLx4EQDw8MMPY/369Zg1axZef/11PPDAA9i6dSu6d+9uVd+YYBAREdlJmRAos7D8lKW2yjz22GOwtJxVYmJihbqaLH81atQojBo1yqq+3I0JBhERkZ2Y/iyW2psKJhhERER2UiwEii2MIFhqa2yYYBAREdkJRzCIiIjI5kqFDCWi6nUwSi20NTZMMIiIiOykDDKUoeokwlJbY8MEg4iIyE6YYBAREZHNlQg5SkTVi2iXNJ05nkwwiIiI7KUMcpRZ2KWj/hcKtx0mGERERHYihAwmCxM5RROa5GnVZmdz5syBTCYzK/7+/lJ7UVERoqKi0KpVK7i6uiI8PLzCjmzZ2dkICwuDi4sLPD098dprr6G0tNQsZt++fejTpw8UCgU6d+5c6UpkREREjU2xcKi2NBVW76barVs3XLt2TSoHDhyQ2qZNm4Zt27Zh06ZNSE1NxdWrV/Hss89K7WVlZQgLC0NxcTEOHjyI1atXIzExEfHx8VJMVlYWwsLCMGTIEGRkZCAmJgYvvPACdu/efY+XSkREVL9MkMEEuYXSdEYwrH5E4ujoWOme8Hl5efj3v/+N9evX4/HHHwcArFq1Cl27dsWhQ4cwYMAAfPPNN8jMzMT//d//QaPRIDAwEG+99RZmzJiBOXPmwMnJCStWrICfnx8WLFgAAOjatSsOHDiARYsWQafT3ePlEhER1Z9i4YBmFkYpipvQJE+rRzDOnj0Lb29vdOzYEREREdIubenp6SgpKUFwcLAU6+/vj/bt2yMtLQ0AkJaWhh49ekCj0UgxOp0OBoMBp06dkmLuPEZ5TPkxqmI0GmEwGMwKERFRQ3J7BMNyaSqsSjCCgoKQmJiIpKQkLF++HFlZWRg0aBDy8/Oh1+vh5OQENzc3s+9oNBro9XoAgF6vN0suytvL2yzFGAwG3Lp1q8q+JSQkQK1WS8XHx8eaSyMiIqpzpj/fIqmqmKz/d3+DZdUjkpCQEOnPPXv2RFBQEHx9fbFx40Y4OzvbvHPWiIuLQ2xsrPTZYDAwySAiogalRDiixMIjEkvLiDc295Qqubm5oUuXLjh37hy8vLxQXFyM3Nxcs5icnBxpzoaXl1eFt0rKP1cXo1KpLCYxCoUCKpXKrBARETUkZUJWbWkq7inBKCgowPnz59GmTRv07dsXzZo1Q0pKitR+5swZZGdnQ6vVAgC0Wi1OnDiB69evSzHJyclQqVQICAiQYu48RnlM+TGIiIgaq9sjGJZLU2FVgvHqq68iNTUVFy9exMGDBzFixAg4ODhg7NixUKvVmDhxImJjY7F3716kp6djwoQJ0Gq1GDBgAABg2LBhCAgIwLhx4/DDDz9g9+7dmDVrFqKioqBQKAAAU6ZMwYULFzB9+nScPn0ay5Ytw8aNGzFt2jTbXz0REZEdWZp/Ud0qn42NVanSL7/8grFjx+K3336Dh4cHBg4ciEOHDsHDwwMAsGjRIsjlcoSHh8NoNEKn02HZsmXS9x0cHLB9+3ZMnToVWq0WzZs3R2RkJObOnSvF+Pn5YceOHZg2bRoWL16Mdu3a4ZNPPuErqkRE1OiZAIuPQUz260qdkwkhmtBbt/9lMBigVqvhO+9tyJXK+u4OERE1YKaiIlya+Qby8vLqZA5f+W/SkvQgOLtW/W/7WwWliO57uM76YU9N52EPERFRA1fdWhdNaR0MJhhERER2UibkKLOwXbultsaGCQYREZGdlAgHOFpcB6PpzFpggkFERGQnpmreFLlvV/IkIiKi2isRDnDgCAYRERHZkknIYbIwz8JSW2PDBIOIiMhOygCUWXhTpMx+XalzTDCIiIjspMTkCAdT1T+9JSY+IiEiIiIriWrWwRBcB4OIiIisVWJygNxkYZKnqeksFs4Eg4iIyE6q29Dsvt3sjIiIiGrPJGQwWdrszEJbY8MEg4iIyE5KhAPkFtfB4CMSIiIishJHMIiIiMjmRDULbYkmtNBW07kSIiKiBq5EyFAi5BaKdSMY+/fvx1NPPQVvb2/IZDJs3bq12u/s27cPffr0gUKhQOfOnZGYmGjWPmfOHMhkMrPi7+9vVb8AJhhERER2U75UuKVijcLCQvTq1QtLly6tUXxWVhbCwsIwZMgQZGRkICYmBi+88AJ2795tFtetWzdcu3ZNKgcOHLCqXwAfkRAREdlNiZBDZiGJKLEywQgJCUFISEiN41esWAE/Pz8sWLAAANC1a1ccOHAAixYtgk6nk+IcHR3h5eVlVV/uxhEMIiIiO6npCIbBYDArRqPRJudPS0tDcHCwWZ1Op0NaWppZ3dmzZ+Ht7Y2OHTsiIiIC2dnZVp+LCQYREZGdmCCT3iSptPy5VLiPjw/UarVUEhISbHJ+vV4PjUZjVqfRaGAwGHDr1i0AQFBQEBITE5GUlITly5cjKysLgwYNQn5+vlXn4iMSIiIiOykTcpRaeAxS9mfb5cuXoVKppHqFQlHnfSt35yOXnj17IigoCL6+vti4cSMmTpxY4+MwwSAiIrKT6iZylrepVCqzBMNWvLy8kJOTY1aXk5MDlUoFZ2fnSr/j5uaGLl264Ny5c1adi49IiIiI7KT0zxEMS6UuabVapKSkmNUlJydDq9VW+Z2CggKcP38ebdq0sepcTDCIiIjsxOL8i2pW+axMQUEBMjIykJGRAeD2a6gZGRnSpMy4uDiMHz9eip8yZQouXLiA6dOn4/Tp01i2bBk2btyIadOmSTGvvvoqUlNTcfHiRRw8eBAjRoyAg4MDxo4da1Xf+IiEiIjITmy9VPixY8cwZMgQ6XNsbCwAIDIyEomJibh27ZrZGyB+fn7YsWMHpk2bhsWLF6Ndu3b45JNPzF5R/eWXXzB27Fj89ttv8PDwwMCBA3Ho0CF4eHhY1bd7GsGYN28eZDIZYmJipLqioiJERUWhVatWcHV1RXh4eIXnPdnZ2QgLC4OLiws8PT3x2muvobS01CymupXGiIiIGptSk7zaYo3HHnsMQogKpfw3MzExEfv27avwnePHj8NoNOL8+fN47rnnzNo3bNiAq1evwmg04pdffsGGDRvQqVMnq6+11gnG0aNH8dFHH6Fnz55m9dOmTcO2bduwadMmpKam4urVq3j22Wel9rKyMoSFhaG4uBgHDx7E6tWrkZiYiPj4eCmmpiuNERERNSYCf76qWkUR9d1BG6pVglFQUICIiAh8/PHHaNmypVSfl5eHf//731i4cCEef/xx9O3bF6tWrcLBgwdx6NAhAMA333yDzMxM/Oc//0FgYCBCQkLw1ltvYenSpSguLgZgvtJY165dER0djZEjR2LRokU2uGQiIqL6Yes5GA1ZrRKMqKgohIWFVVgNLD09HSUlJWb1/v7+aN++vbRKWFpaGnr06GG20IdOp4PBYMCpU6ekmJqsNHYno9FYYeUzIiKihsTWj0gaMqsneW7YsAHff/89jh49WqFNr9fDyckJbm5uZvUajQZ6vV6KqWwVsfI2SzHlK41V9q5uQkIC/vGPf1h7OURERHZj60meDZlVqdLly5fxyiuvYN26dVAqlXXVp1qJi4tDXl6eVC5fvlzfXSIiIjJTJuTVlqbCqitJT0/H9evX0adPHzg6OsLR0RGpqan44IMP4OjoCI1Gg+LiYuTm5pp9LycnR9qVrapVxMrbLMVYWmlMoVBIK5/V1QpoRERE94JzMKowdOhQnDhxQlrUIyMjA/369UNERIT052bNmpmtEnbmzBlkZ2dLq4RptVqcOHEC169fl2KSk5OhUqkQEBAgxVi70hgREVFDJ4Ss2tJUWDUHo0WLFujevbtZXfPmzdGqVSupfuLEiYiNjYW7uztUKhVeeuklaLVaDBgwAAAwbNgwBAQEYNy4cZg/fz70ej1mzZqFqKgoaTOXKVOmYMmSJZg+fTqef/557NmzBxs3bsSOHTtscc1ERET1oswkh8zCRM6y+3mSZ3UWLVoEuVyO8PBwGI1G6HQ6LFu2TGp3cHDA9u3bMXXqVGi1WjRv3hyRkZGYO3euFFOTlcaIiIgaG1HNY5CmNIIhE0I0pXU9JAaDAWq1Gr7z3oa8gU1IJSKihsVUVIRLM99AXl5enczhK/9N6vXF3+HgUvXW62V/GPHDyAV11g974l4kREREdlLdPIumNILBBIOIiMhOTEIG2X2yDgYTDCIiIjsxmWSQmSwkGBbaGhsmGERERHbCRyRERERkc3xEQkRERDZnMqGaRyR27EwdY4JBRERkJ3xEQkRERDbHRyRERERke+LPYqm9iWCCQUREZC/VbWjGEQwiIiKylskkA7gOBhEREdmUkFkepeAIBhEREVlLmG4XS+1NBRMMIiIiO+FrqkRERFQ3mtCbIpYwwSAiIrITYZJBWJjIaamtsWGCQUREZDeyP4ul9qaBCQYREZG9cKEtIiIisrlq1sGw2NbIMMEgIiKyEyFuF0vtTQUTDCIiInvhCAYRERHZmkzcLpbamwomGERERPbCSZ5ERERkc3xEQkRERDZ3H41gyK0JXr58OXr27AmVSgWVSgWtVotdu3ZJ7UVFRYiKikKrVq3g6uqK8PBw5OTkmB0jOzsbYWFhcHFxgaenJ1577TWUlpaaxezbtw99+vSBQqFA586dkZiYWPsrJCIiaijKRzAsFSvs378fTz31FLy9vSGTybB169Zqv1OT39ilS5eiQ4cOUCqVCAoKwpEjR6zqF2BlgtGuXTvMmzcP6enpOHbsGB5//HE888wzOHXqFABg2rRp2LZtGzZt2oTU1FRcvXoVzz77rPT9srIyhIWFobi4GAcPHsTq1auRmJiI+Ph4KSYrKwthYWEYMmQIMjIyEBMTgxdeeAG7d++2+uKIiIgakvJJnpaKNQoLC9GrVy8sXbq0RvE1+Y39/PPPERsbi9mzZ+P7779Hr169oNPpcP36dav6JhPi3t66dXd3x7vvvouRI0fCw8MD69evx8iRIwEAp0+fRteuXZGWloYBAwZg165dePLJJ3H16lVoNBoAwIoVKzBjxgzcuHEDTk5OmDFjBnbs2IGTJ09K5xgzZgxyc3ORlJRU434ZDAao1Wr4znsbcqXyXi6RiIiaOFNRES7NfAN5eXlQqVQ2P375b1L7f/0Tcueqf5NMt4qQPWNWrfohk8mwZcsWDB8+vMqYmvzGBgUF4aGHHsKSJUtu98lkgo+PD1566SXMnDmzxv2xagTjTmVlZdiwYQMKCwuh1WqRnp6OkpISBAcHSzH+/v5o37490tLSAABpaWno0aOHlFwAgE6ng8FgkEZB0tLSzI5RHlN+jKoYjUYYDAazQkRE1JDIUM0Ixp9xd/+eGY1Gm5y/ut/Y4uJipKenm8XI5XIEBwdX+zt8N6sTjBMnTsDV1RUKhQJTpkzBli1bEBAQAL1eDycnJ7i5uZnFazQa6PV6AIBerzdLLsrby9ssxRgMBty6davKfiUkJECtVkvFx8fH2ksjIiKqW0JWfQHg4+Nj9puWkJBgk9NX9xv766+/oqysrNKY8t/pmrL6LZIHH3wQGRkZyMvLwxdffIHIyEikpqZaexibi4uLQ2xsrPTZYDAwySAiooalhm+RXL582ewRiUKhqNNu1QWrEwwnJyd07twZANC3b18cPXoUixcvxujRo1FcXIzc3FyzUYycnBx4eXkBALy8vCrMRC1/y+TOmLvfPMnJyYFKpYKzs3OV/VIoFI3yfwAiIrp/yEy3i6V2ANLbmrZW3W+sg4MDHBwcKo0p/52uqVrPwShnMplgNBrRt29fNGvWDCkpKVLbmTNnkJ2dDa1WCwDQarU4ceKE2UzU5ORkqFQqBAQESDF3HqM8pvwYREREjZaoQalD1f3GOjk5oW/fvmYxJpMJKSkpVv8OWzWCERcXh5CQELRv3x75+flYv3499u3bh927d0OtVmPixImIjY2Fu7s7VCoVXnrpJWi1WgwYMAAAMGzYMAQEBGDcuHGYP38+9Ho9Zs2ahaioKGn0YcqUKViyZAmmT5+O559/Hnv27MHGjRuxY8cOqy6MiIiooanpCEZNFRQU4Ny5c9LnrKwsZGRkwN3dHe3bt0dcXByuXLmCNWvWAKjZb2xsbCwiIyPRr18/9O/fH++//z4KCwsxYcIEq/pmVYJx/fp1jB8/HteuXYNarUbPnj2xe/du/M///A8AYNGiRZDL5QgPD4fRaIROp8OyZcuk7zs4OGD79u2YOnUqtFotmjdvjsjISMydO1eK8fPzw44dOzBt2jQsXrwY7dq1wyeffAKdTmfVhRERETU4d0zkrLLdCseOHcOQIUOkz+VzESMjI5GYmIhr164hOztbaq/Jb+zo0aNx48YNxMfHQ6/XIzAwEElJSRUmflbnntfBaKi4DgYREdWUvdbB8JvzjsXfJFNREbLmvF5n/bAn7kVCRERkJ7Z+RNKQMcEgIiKyl+qWA29CzxSYYBAREdmL6c9iqb2JYIJBRERkJ9VtaGbtZmcN2T2vg0FERER0N45gEBER2QkneRIREVHdaEKPQSxhgkFERGQnHMEgIiIi26vhbqpNARMMIiIiO7mf3iJhgkFERGQvXAeDiIiIbI0jGERERGR7nINBREREtsa3SIiIiMj2OIJBREREtsYRDCIiIrI9jmAQERGRrcn+LJbamwomGERERHbCRyRERERke3xEQkRERLYmE9WMYDDBICIiIqtxBIOIiIhsjUuFExERkc1xkicRERHZ3n30iERuTXBCQgIeeughtGjRAp6enhg+fDjOnDljFlNUVISoqCi0atUKrq6uCA8PR05OjllMdnY2wsLC4OLiAk9PT7z22msoLS01i9m3bx/69OkDhUKBzp07IzExsXZXSERE1FCIGpQmwqoEIzU1FVFRUTh06BCSk5NRUlKCYcOGobCwUIqZNm0atm3bhk2bNiE1NRVXr17Fs88+K7WXlZUhLCwMxcXFOHjwIFavXo3ExETEx8dLMVlZWQgLC8OQIUOQkZGBmJgYvPDCC9i9e7cNLpmIiKh+lD8isVSaCpkQotb50o0bN+Dp6YnU1FQMHjwYeXl58PDwwPr16zFy5EgAwOnTp9G1a1ekpaVhwIAB2LVrF5588klcvXoVGo0GALBixQrMmDEDN27cgJOTE2bMmIEdO3bg5MmT0rnGjBmD3NxcJCUl1ahvBoMBarUavvPehlyprO0lEhHRfcBUVIRLM99AXl4eVCqVzY9f/psUOO5tODhV/ZtUVlyEjLV11w97smoE4255eXkAAHd3dwBAeno6SkpKEBwcLMX4+/ujffv2SEtLAwCkpaWhR48eUnIBADqdDgaDAadOnZJi7jxGeUz5MSpjNBphMBjMChERUUNyP41g1DrBMJlMiImJwSOPPILu3bsDAPR6PZycnODm5mYWq9FooNfrpZg7k4vy9vI2SzEGgwG3bt2qtD8JCQlQq9VS8fHxqe2lERER1Q3OwaheVFQUTp48iQ0bNtiyP7UWFxeHvLw8qVy+fLm+u0RERGSmfB0MS6WpqNVrqtHR0di+fTv279+Pdu3aSfVeXl4oLi5Gbm6u2ShGTk4OvLy8pJgjR46YHa/8LZM7Y+5+8yQnJwcqlQrOzs6V9kmhUEChUNTmcoiIiOzifloHw6oRDCEEoqOjsWXLFuzZswd+fn5m7X379kWzZs2QkpIi1Z05cwbZ2dnQarUAAK1WixMnTuD69etSTHJyMlQqFQICAqSYO49RHlN+DCIiokbpPnpEYtUIRlRUFNavX4+vvvoKLVq0kOZMqNVqODs7Q61WY+LEiYiNjYW7uztUKhVeeuklaLVaDBgwAAAwbNgwBAQEYNy4cZg/fz70ej1mzZqFqKgoaQRiypQpWLJkCaZPn47nn38ee/bswcaNG7Fjxw4bXz4REZEdCQGZyUIWUfsXOxscqxKM5cuXAwAee+wxs/pVq1bhueeeAwAsWrQIcrkc4eHhMBqN0Ol0WLZsmRTr4OCA7du3Y+rUqdBqtWjevDkiIyMxd+5cKcbPzw87duzAtGnTsHjxYrRr1w6ffPIJdDpdLS+TiIio/t1Pe5FY/YikslKeXACAUqnE0qVLcfPmTRQWFmLz5s3S3Ipyvr6+2LlzJ/744w/cuHED7733HhwdzXOdxx57DMePH4fRaMT58+fNzkFERNQo1cEjkqVLl6JDhw5QKpUICgqqMM/xTiUlJZg7dy46deoEpVKJXr16VVhfas6cOZDJZGbF39/f6n7d0zoYREREVHOysuqLNT7//HPExsZi9uzZ+P7779GrVy/odDqzeY53mjVrFj766CN8+OGHyMzMxJQpUzBixAgcP37cLK5bt264du2aVA4cOGD1tTLBICIishNbv6a6cOFCTJo0CRMmTEBAQABWrFgBFxcXfPrpp5XGr127Fq+//jpCQ0PRsWNHTJ06FaGhoViwYIFZnKOjI7y8vKTSunVrq6+VCQYREZG9CFF9ASqsTG00Giscqri4GOnp6WYrX8vlcgQHB1e58rXRaITyru0znJ2dK4xQnD17Ft7e3ujYsSMiIiKQnZ1t9aUywSAiIrKTmi4V7uPjY7Y6dUJCQoVj/frrrygrK6t05evytzzvptPpsHDhQpw9exYmkwnJycnYvHkzrl27JsUEBQUhMTERSUlJWL58ObKysjBo0CDk5+dbda21WmiLiIiIrFfTt0guX75sttmZrRaSXLx4MSZNmgR/f3/IZDJ06tQJEyZMMHukEhISIv25Z8+eCAoKgq+vLzZu3IiJEyfW+FwcwSAiIrITmUlUWwBApVKZlcoSjNatW8PBwaHSla/vfnuznIeHB7Zu3YrCwkJcunQJp0+fhqurKzp27Fhln93c3NClSxecO3fOqmtlgkFERGQvNnxN1cnJCX379jVb+dpkMiElJaXala+VSiXatm2L0tJSfPnll3jmmWeqjC0oKMD58+fRpk2bmncOTDCIiIjsxtZvkcTGxuLjjz/G6tWr8dNPP2Hq1KkoLCzEhAkTAADjx49HXFycFH/48GFs3rwZFy5cwLfffosnnngCJpMJ06dPl2JeffVVpKam4uLFizh48CBGjBgBBwcHjB071qq+cQ4GERGRvZQJQG4hiyizLsMYPXo0bty4gfj4eOj1egQGBiIpKUma+JmdnQ25/L9jCUVFRZg1axYuXLgAV1dXhIaGYu3atWYblP7yyy8YO3YsfvvtN3h4eGDgwIE4dOgQPDw8rOobEwwiIiI7kaGaSZ61OGZ0dDSio6Mrbdu3b5/Z50cffRSZmZkWj7dhw4Za9KIiJhhERER2cudEzqramwomGERERPZS3UTOppNfMMEgIiKyF5kQkFnYkt1SW2PDBIOIiMhOZGUCMguTMGRWTvJsyJhgEBER2QsfkRAREZHN3bGhWZXtTQQTDCIiIjvhWyRERERkc3fumFpVe1PBBIOIiMheTOJ2sdTeRDDBICIishO+pkpERES2x0meREREZGsyk7C41gUneRIREZH1BKoZwbBbT+ocEwwiIiJ7KatmpS2u5ElERETWup8mecqt/cL+/fvx1FNPwdvbGzKZDFu3bjVrF0IgPj4ebdq0gbOzM4KDg3H27FmzmJs3byIiIgIqlQpubm6YOHEiCgoKzGJ+/PFHDBo0CEqlEj4+Ppg/f771V0dERNSQlE/ytFSaCKsTjMLCQvTq1QtLly6ttH3+/Pn44IMPsGLFChw+fBjNmzeHTqdDUVGRFBMREYFTp04hOTkZ27dvx/79+zF58mSp3WAwYNiwYfD19UV6ejreffddzJkzBytXrqzFJRIRETUQJlP1pYmw+hFJSEgIQkJCKm0TQuD999/HrFmz8MwzzwAA1qxZA41Gg61bt2LMmDH46aefkJSUhKNHj6Jfv34AgA8//BChoaF477334O3tjXXr1qG4uBiffvopnJyc0K1bN2RkZGDhwoVmiQgREVGjYgIgq6a9ibB6BMOSrKws6PV6BAcHS3VqtRpBQUFIS0sDAKSlpcHNzU1KLgAgODgYcrkchw8flmIGDx4MJycnKUan0+HMmTP4/fffKz230WiEwWAwK0RERA1J+RwMS6WpsGmCodfrAQAajcasXqPRSG16vR6enp5m7Y6OjnB3dzeLqewYd57jbgkJCVCr1VLx8fG59wsiIiKypTJT9aWJsGmCUZ/i4uKQl5cnlcuXL9d3l4iIiMzdR5M8bfqaqpeXFwAgJycHbdq0kepzcnIQGBgoxVy/ft3se6Wlpbh586b0fS8vL+Tk5JjFlH8uj7mbQqGAQqGwyXUQERHVCVHNRE7BEYxK+fn5wcvLCykpKVKdwWDA4cOHodVqAQBarRa5ublIT0+XYvbs2QOTyYSgoCApZv/+/SgpKZFikpOT8eCDD6Jly5a27DIREZH9lO+maqk0EVYnGAUFBcjIyEBGRgaA2xM7MzIykJ2dDZlMhpiYGPzzn//E119/jRMnTmD8+PHw9vbG8OHDAQBdu3bFE088gUmTJuHIkSP47rvvEB0djTFjxsDb2xsA8Je//AVOTk6YOHEiTp06hc8//xyLFy9GbGyszS6ciIjI7oSp+tJEWP2I5NixYxgyZIj0ufxHPzIyEomJiZg+fToKCwsxefJk5ObmYuDAgUhKSoJSqZS+s27dOkRHR2Po0KGQy+UIDw/HBx98ILWr1Wp88803iIqKQt++fdG6dWvEx8fzFVUiImrcyqpJIprQOhgyIZrQjJI7GAwGqNVq+M57G/I7khsiIqK7mYqKcGnmG8jLy4NKpbL58ct/k4K9X4SjvOr5gqUmI/7v6kd11g974l4kRERE9mISsLiaVhOag8EEg4iIyF5MJlhOMJrOIxImGERERPZS3VoXTWjWAhMMIiIie7mPJnkywSAiIrITIUwQFhIMS22NDRMMIiIiexHVLKbFRyRERERktbIyQFZWdbuw0NbIMMEgIiKyFyEAcASDiIiIbEiUlUFYGMEQTWgEo8ls105ERNTg1cFmZ0uXLkWHDh2gVCoRFBSEI0eOVBlbUlKCuXPnolOnTlAqlejVqxeSkpLu6ZhVYYJBRERkL0JUs9mZdQnG559/jtjYWMyePRvff/89evXqBZ1Oh+vXr1caP2vWLHz00Uf48MMPkZmZiSlTpmDEiBE4fvx4rY9ZFSYYREREdiLKyqot1li4cCEmTZqECRMmICAgACtWrICLiws+/fTTSuPXrl2L119/HaGhoejYsSOmTp2K0NBQLFiwoNbHrAoTDCIiIjspMRWjpMxCMRUDuL052p3FaDRWOFZxcTHS09MRHBws1cnlcgQHByMtLa3S8xuNRrPdzQHA2dkZBw4cqPUxq8JJnkRERHXMyckJXl5eOKDfXm2sq6srfHx8zOpmz56NOXPmmNX9+uuvKCsrg0ajMavXaDQ4ffp0pcfW6XRYuHAhBg8ejE6dOiElJQWbN29G2Z8jJ7U5ZlWYYBAREdUxpVKJrKwsFBcXVxsrhIBMJjOrUyiq3uLdGosXL8akSZPg7+8PmUyGTp06YcKECVY//qgJJhhERER2oFQqKzyeuBetW7eGg4MDcnJyzOpzcnLg5eVV6Xc8PDywdetWFBUV4bfffoO3tzdmzpyJjh071vqYVeEcDCIiokbIyckJffv2RUpKilRnMpmQkpICrVZr8btKpRJt27ZFaWkpvvzySzzzzDP3fMy7cQSDiIiokYqNjUVkZCT69euH/v374/3330dhYSEmTJgAABg/fjzatm2LhIQEAMDhw4dx5coVBAYG4sqVK5gzZw5MJhOmT59e42PWFBMMIiKiRmr06NG4ceMG4uPjodfrERgYiKSkJGmSZnZ2NuTy/z6sKCoqwqxZs3DhwgW4uroiNDQUa9euhZubW42PWVMyIZrQwud3MBgMUKvV8J33NuQ2fOZFRERNj6moCJdmvoG8vDyoVKr67k6TwDkYREREZHNMMIiIiMjmmGAQERGRzTHBICIiIptjgkFEREQ216ATDFvsR09ERET212ATDFvtR09ERET212ATDFvtR09ERET21yBX8izfjz4uLk6qq8ke90ajUfqcl5cH4PbiKURERJaU/1Y00bUn60WDTDBqsx99QkIC/vGPf1SovzznrTrpIxERNT35+flQq9X13Y0moUEmGLURFxeH2NhY6XNubi58fX2RnZ3N/7NUwmAwwMfHB5cvX+ayuJXg/bGM98cy3p/qNbR7JIRAfn4+vL2967srTUaDTDBqsx+9QqGAQqGoUK9WqxvE/3kbKpVKxftjAe+PZbw/lvH+VK8h3SP+Y9S2GuQkT1vuR09ERET21yBHMADb7UdPRERE9tdgE4x73Y9eoVBg9uzZlT42Id6f6vD+WMb7YxnvT/V4j5o+meA7OURERGRjDXIOBhERETVuTDCIiIjI5phgEBERkc0xwSAiIiKba5IJxv2wzXtCQgIeeughtGjRAp6enhg+fDjOnDljFlNUVISoqCi0atUKrq6uCA8Pr7B4WXZ2NsLCwuDi4gJPT0+89tprKC0tNYvZt28f+vTpA4VCgc6dOyMxMbGuL8/m5s2bB5lMhpiYGKmO9we4cuUK/vrXv6JVq1ZwdnZGjx49cOzYMaldCIH4+Hi0adMGzs7OCA4OxtmzZ82OcfPmTUREREClUsHNzQ0TJ05EQUGBWcyPP/6IQYMGQalUwsfHB/Pnz7fL9d2LsrIyvPnmm/Dz84OzszM6deqEt956y2yvivvp/uzfvx9PPfUUvL29IZPJsHXrVrN2e96LTZs2wd/fH0qlEj169MDOnTttfr1kA6KJ2bBhg3BychKffvqpOHXqlJg0aZJwc3MTOTk59d01m9LpdGLVqlXi5MmTIiMjQ4SGhor27duLgoICKWbKlCnCx8dHpKSkiGPHjokBAwaIhx9+WGovLS0V3bt3F8HBweL48eNi586donXr1iIuLk6KuXDhgnBxcRGxsbEiMzNTfPjhh8LBwUEkJSXZ9XrvxZEjR0SHDh1Ez549xSuvvCLV3+/35+bNm8LX11c899xz4vDhw+LChQti9+7d4ty5c1LMvHnzhFqtFlu3bhU//PCDePrpp4Wfn5+4deuWFPPEE0+IXr16iUOHDolvv/1WdO7cWYwdO1Zqz8vLExqNRkRERIiTJ0+Kzz77TDg7O4uPPvrIrtdrrbffflu0atVKbN++XWRlZYlNmzYJV1dXsXjxYinmfro/O3fuFG+88YbYvHmzACC2bNli1m6ve/Hdd98JBwcHMX/+fJGZmSlmzZolmjVrJk6cOFHn94Cs0+QSjP79+4uoqCjpc1lZmfD29hYJCQn12Ku6d/36dQFApKamCiGEyM3NFc2aNRObNm2SYn766ScBQKSlpQkhbv8HQy6XC71eL8UsX75cqFQqYTQahRBCTJ8+XXTr1s3sXKNHjxY6na6uL8km8vPzxQMPPCCSk5PFo48+KiUYvD9CzJgxQwwcOLDKdpPJJLy8vMS7774r1eXm5gqFQiE+++wzIYQQmZmZAoA4evSoFLNr1y4hk8nElStXhBBCLFu2TLRs2VK6Z+XnfvDBB219STYVFhYmnn/+ebO6Z599VkRERAgh7u/7c3eCYc978b//+78iLCzMrD9BQUHixRdftOk10r1rUo9Iyrd5Dw4Oluqq2+a9qSjfnt7d3R0AkJ6ejpKSErN74e/vj/bt20v3Ii0tDT169DBbvEyn08FgMODUqVNSzJ3HKI9pLPczKioKYWFhFa6B9wf4+uuv0a9fP4waNQqenp7o3bs3Pv74Y6k9KysLer3e7PrUajWCgoLM7pGbmxv69esnxQQHB0Mul+Pw4cNSzODBg+Hk5CTF6HQ6nDlzBr///ntdX2atPfzww0hJScHPP/8MAPjhhx9w4MABhISEAOD9uZM970Vj/jt3v2lSCYalbd71en099arumUwmxMTE4JFHHkH37t0BAHq9Hk5OTnBzczOLvfNe6PX6Su9VeZulGIPBgFu3btXF5djMhg0b8P333yMhIaFCG+8PcOHCBSxfvhwPPPAAdu/ejalTp+Lll1/G6tWrAfz3Gi39fdLr9fD09DRrd3R0hLu7u1X3sSGaOXMmxowZA39/fzRr1gy9e/dGTEwMIiIiAPD+3Mme96KqmMZyr+4nDXapcKq5qKgonDx5EgcOHKjvrjQYly9fxiuvvILk5GQolcr67k6DZDKZ0K9fP7zzzjsAgN69e+PkyZNYsWIFIiMj67l39W/jxo1Yt24d1q9fj27duiEjIwMxMTHw9vbm/SGqgSY1glGbbd4bu+joaGzfvh179+5Fu3btpHovLy8UFxcjNzfXLP7Oe+Hl5VXpvSpvsxSjUqng7Oxs68uxmfT0dFy/fh19+vSBo6MjHB0dkZqaig8++ACOjo7QaDT39f0BgDZt2iAgIMCsrmvXrsjOzgbw32u09PfJy8sL169fN2svLS3FzZs3rbqPDdFrr70mjWL06NED48aNw7Rp06QRsfv9/tzJnveiqpjGcq/uJ00qwbiftnkXQiA6OhpbtmzBnj174OfnZ9bet29fNGvWzOxenDlzBtnZ2dK90Gq1OHHihNlf+uTkZKhUKumHR6vVmh2jPKah38+hQ4fixIkTyMjIkEq/fv0QEREh/fl+vj8A8Mgjj1R4tfnnn3+Gr68vAMDPzw9eXl5m12cwGHD48GGze5Sbm4v09HQpZs+ePTCZTAgKCpJi9u/fj5KSEikmOTkZDz74IFq2bFln13ev/vjjD8jl5v+JdHBwgMlkAsD7cyd73ovG/HfuvlPfs0xtbcOGDUKhUIjExESRmZkpJk+eLNzc3MzeBGgKpk6dKtRqtdi3b5+4du2aVP744w8pZsqUKaJ9+/Ziz5494tixY0Kr1QqtViu1l7+GOWzYMJGRkSGSkpKEh4dHpa9hvvbaa+Knn34SS5cubTSvYd7tzrdIhOD9OXLkiHB0dBRvv/22OHv2rFi3bp1wcXER//nPf6SYefPmCTc3N/HVV1+JH3/8UTzzzDOVvnrYu3dvcfjwYXHgwAHxwAMPmL16mJubKzQajRg3bpw4efKk2LBhg3BxcWlwr2HeLTIyUrRt21Z6TXXz5s2idevWYvr06VLM/XR/8vPzxfHjx8Xx48cFALFw4UJx/PhxcenSJSGE/e7Fd999JxwdHcV7770nfvrpJzF79my+ptpANbkEQwghPvzwQ9G+fXvh5OQk+vfvLw4dOlTfXbI5AJWWVatWSTG3bt0Sf/vb30TLli2Fi4uLGDFihLh27ZrZcS5evChCQkKEs7OzaN26tfj73/8uSkpKzGL27t0rAgMDhZOTk+jYsaPZORqTuxMM3h8htm3bJrp37y4UCoXw9/cXK1euNGs3mUzizTffFBqNRigUCjF06FBx5swZs5jffvtNjB07Vri6ugqVSiUmTJgg8vPzzWJ++OEHMXDgQKFQKETbtm3FvHnz6vza7pXBYBCvvPKKaN++vVAqlaJjx47ijTfeMHuF8n66P3v37q30vzmRkZFCCPvei40bN4ouXboIJycn0a1bN7Fjx446u26qPW7XTkRERDbXpOZgEBERUcPABIOIiIhsjgkGERER2RwTDCIiIrI5JhhERERkc0wwiIiIyOaYYBAREZHNMcEgIiIim2OCQURERDbHBIOIiIhsjgkGERER2RwTDCIiIrK5/wd+7ODe3WpTggAAAABJRU5ErkJggg=="
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 2 Axes>",
      "image/png": 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NluYqKyvD999/j86dOyMkJAT29vY4dOiQVJ+bm4u8vDyo1WoAgFqtRlZWFgoLC6WY1NRUKJVKBAYGmnVtPuYgIiKykmoYUNVIfVO9+uqrGD16NPz8/HDlyhXMnz8ftra2GD9+PNzc3DB58mTEx8fDw8MDSqUSL7/8MtRqNQYOHAgACA8PR2BgICZMmIDly5dDp9Nh7ty5iI6ObtJIyK2YTBAREVlJjRCoEQ2PPpiqu91///tfjB8/HteuXUOnTp0waNAgnDp1Cp06dQIArFixAjY2NoiIiEBFRQU0Gg3Wrl0rfd/W1hZ79uzB9OnToVar4ezsjKioKCxcuNDsfsmEMKPl7Yher4ebmxv8li2GTRPf1yUionuTobwcP86ei5KSEqOJjy2l9jfpmwvecDXxNkdpqQEBPQvuWDvuFI5MEBERWUmlEKg08W94U3VtGZMJIiIiKzH8XkzVt0dMJoiIiKykWshQJRpeZ6LaRF1bxmSCiIjISmogQw0aThhM1bVlTCaIiIishMkEERERWaRK2KBKNPw2R1X7nH/JZIKIiMhaamCDGhOLT9dYsS0tickEERGRlQghg8HEJEvRTidgmrU3R0JCAmQymVEJCAiQ6svLyxEdHQ1PT0+4uLggIiKiziYieXl50Gq1cHJygpeXF2bOnInq6mqjmKNHjyI4OBgKhQLdu3dHcnJy83tIRETURlQK20ZLe2T2Rl+9evXC1atXpXLixAmpLi4uDrt378aOHTtw7NgxXLlyBWPGjJHqa2pqoNVqUVlZiZMnT2Lz5s1ITk7GvHnzpJjLly9Dq9Vi2LBhyMzMRGxsLF544QUcOHDAwq4SERG1LgNkMMDGRGmfIxNmP+aws7Ord2vSkpISfPjhh9i2bRuGDx8OANi0aRN69uyJU6dOYeDAgTh48CBycnLw+eefw9vbG/369cOiRYswe/ZsJCQkQC6XIykpCf7+/nj77bcBAD179sSJEyewYsUKaDQaC7tLRETUeiqFLexNjD5UttMJmGaPTFy8eBE+Pj7o1q0bIiMjkZeXBwDIyMhAVVUVwsLCpNiAgAD4+voiLS0NAJCWloagoCB4e3tLMRqNBnq9HtnZ2VLMreeojak9R0MqKiqg1+uNChERUVtyc2TCdGmPzEomQkNDkZycjP3792PdunW4fPkyBg8ejNLSUuh0Osjlcri7uxt9x9vbGzqdDgCg0+mMEona+to6UzF6vR43btxosG2JiYlwc3OTSteuXc3pGhER0R1n+P1tjoaKwfx/47cJZj3mGDVqlPTnPn36IDQ0FH5+fti+fTscHR1bvHHmmDNnDuLj46XPer2eCQUREbUpVcIOVSYec5haarstsygFcnd3x0MPPYTvvvsOKpUKlZWVKC4uNoopKCiQ5lioVKo6b3fUfm4sRqlUmkxYFAoFlEqlUSEiImpLaoSs0dIeWZRMlJWV4fvvv0fnzp0REhICe3t7HDp0SKrPzc1FXl4e1Go1AECtViMrKwuFhYVSTGpqKpRKJQIDA6WYW89RG1N7DiIiovbq5siE6dIemZVMvPrqqzh27Bh++OEHnDx5Ek8//TRsbW0xfvx4uLm5YfLkyYiPj8eRI0eQkZGBSZMmQa1WY+DAgQCA8PBwBAYGYsKECfjqq69w4MABzJ07F9HR0VAoFACAadOm4dKlS5g1axa++eYbrF27Ftu3b0dcXFzL956IiMiKTM2XaGx1zLbMrBTov//9L8aPH49r166hU6dOGDRoEE6dOoVOnToBAFasWAEbGxtERESgoqICGo0Ga9eulb5va2uLPXv2YPr06VCr1XB2dkZUVBQWLlwoxfj7+2Pv3r2Ii4vDqlWr0KVLF2zYsIGvhRIRUbtnAEw+yjBYryktSiaEaKdvtZqm1+vh5uYGv2WLYePg0NrNISKiNsxQXo4fZ89FSUnJHZlzV/ub9F5GKBxdGv53/I2yasSEpN+xdtwp7fPhDBERUTvU2FoS7XWdCSYTREREVlIjbFBjYgtyU3VtGZMJIiIiK6kStrAzuc5E+5x5wGSCiIjISgyNvLFxT6yASURERM1XJWxhy5EJIiIiai6DsIHBxLwIU3VtGZMJIiIiK6kBUGPijY0a6zWlRTGZICIispIqgx1sDQ3/9FYZ+JiDiIiITBCNrDMhuM4EERERmVJlsIWNwcQETEP7XFC7fc70ICIiaofu5EZfS5cuhUwmQ2xsrHRMp9NhwoQJUKlUcHZ2RnBwMD7++GOj7xUVFSEyMhJKpRLu7u6YPHkyysrKzLo2kwkiIiIrMQhZo6U5zpw5g/fffx99+vQxOj5x4kTk5uZi165dyMrKwpgxYzB27FicO3dOiomMjER2djZSU1OxZ88eHD9+HFOnTjXr+kwmiIiIrKRK2DZazFVWVobIyEisX78eHTp0MKo7efIkXn75ZTzyyCPo1q0b5s6dC3d3d2RkZAAALly4gP3792PDhg0IDQ3FoEGD8O677yIlJQVXrlxpchuYTBAREVlJU0cm9Hq9UamoqGjwnNHR0dBqtQgLC6tT9+ijj+Kjjz5CUVERDAYDUlJSUF5ejqFDhwIA0tLS4O7ujgEDBkjfCQsLg42NDdLT05vcL07AJCIishLRyKJV4ve6rl27Gh2fP38+EhIS6sSnpKTg7NmzOHPmTL3n2759O5555hl4enrCzs4OTk5O2LlzJ7p37w7g5pwKLy8vo+/Y2dnBw8MDOp2uyf1iMkFERGQlVUIGmYlkour3kYn8/HwolUrpuEKhqBObn5+PGTNmIDU1FQ4ODvWe7/XXX0dxcTE+//xzdOzYEZ9++inGjh2L//znPwgKCrKwN//DZIKIiMhKmrqctlKpNEom6pORkYHCwkIEBwdLx2pqanD8+HG89957yM3NxXvvvYfz58+jV69eAIC+ffviP//5D9asWYOkpCSoVCoUFhYanbe6uhpFRUVQqVRN7heTCSIiIiupEjaNjEw0fSrjiBEjkJWVZXRs0qRJCAgIwOzZs/Hbb78BAGxsjM9pa2sLw+/rWajVahQXFyMjIwMhISEAgMOHD8NgMCA0NLTJbWEyQUREZCUtudGXq6srevfubXTM2dkZnp6e6N27N6qqqtC9e3e8+OKLeOutt+Dp6YlPP/1UegUUAHr27ImRI0diypQpSEpKQlVVFWJiYjBu3Dj4+Pg0uS18m4OIiMhKDGjkbY4WXE7b3t4e+/btQ6dOnTB69Gj06dMH//jHP7B582Y88cQTUtzWrVsREBCAESNG4IknnsCgQYPwwQcfmHUtjkwQERFZSY2wQbWJ0YcaC7cgP3r0qNHnBx98sM6Kl7fz8PDAtm3bLLoukwkiIiIracnHHG0JkwkiIiIrqW5kAqapUYu2jMkEERGRlTS2/0Zz9+ZobUwmiIiIrORuTSYsGk+pb7vT8vJyREdHw9PTEy4uLoiIiEBBQYHR9/Ly8qDVauHk5AQvLy/MnDkT1dXVRjFHjx5FcHAwFAoFunfvjuTkZEuaSkRE1OqqDTaNlvao2a1uaLvTuLg47N69Gzt27MCxY8dw5coVjBkzRqqvqamBVqtFZWUlTp48ic2bNyM5ORnz5s2TYi5fvgytVothw4YhMzMTsbGxeOGFF3DgwIHmNpeIiKjVCfz+emgDRbR2A5upWclEQ9udlpSU4MMPP8Q777yD4cOHIyQkBJs2bcLJkydx6tQpAMDBgweRk5ODLVu2oF+/fhg1ahQWLVqENWvWoLKyEgCQlJQEf39/vP322+jZsydiYmLw5z//GStWrGiBLhMREbWOpu4a2t40K5loaLvTjIwMVFVVGR0PCAiAr68v0tLSANzc7jQoKAje3t5SjEajgV6vR3Z2thRz+7k1Go10jvpUVFTU2bKViIioLblbH3OYPQHT1HanOp0Ocrkc7u7uRse9vb2lrUx1Op1RIlFbX1tnKkav1+PGjRtwdHSsc+3ExEQsWLDA3O4QNejyjFdbuwlG/Fe91dpNICILcQIm/rfd6datWxvc7rS1zJkzByUlJVLJz89v7SYREREZqRE2jZb2yKxW37rdqZ2dHezs7HDs2DGsXr0adnZ28Pb2RmVlJYqLi42+V1BQIG1lqlKp6rzdUfu5sRilUlnvqARwc6/32i1bm7J1KxERkbVxzgT+t91pZmamVAYMGIDIyEjpz/b29jh06JD0ndzcXOTl5UGtVgO4ud1pVlaW0f7pqampUCqVCAwMlGJuPUdtTO05iIiI2iMhZI2W9sisORONbXcKAJMnT0Z8fDw8PDygVCrx8ssvQ61WY+DAgQCA8PBwBAYGYsKECVi+fDl0Oh3mzp2L6OhoKBQKAMC0adPw3nvvYdasWXj++edx+PBhbN++HXv37m2JPhMREbWKGoMNZCYmWdbcKxMwG7NixQrY2NggIiICFRUV0Gg0WLt2rVRva2uLPXv2YPr06VCr1XB2dkZUVBQWLlwoxfj7+2Pv3r2Ii4vDqlWr0KVLF2zYsAEajaalm0tERGQ1opFHGffEyER9bt/u1MHBAWvWrMGaNWsa/I6fnx/27dtn8rxDhw7FuXPnLG0eERFRm1EDGWAiYajBPZpMEBERUdM0Ni/inh2ZICIioqYxCBlkd+E6E0wmiIiIrMRgkEFmMJFMmKhry5hMEBERWQkfcxAREZFF+JiDiIiILGIwoJHHHFZsTAtiMkFERGQlfMxBREREFuFjDiIiIrKM+L2Yqm+HmEwQERFZS2ObeXFkgoiIiEwxGGQA15kgIiKiZhOm9+bgyAQRERGZJAw3i6n69ojJBBERkZXw1VAiIiKyXDt9Y8MUm9ZuABER0b1CGGSNluZaunQpZDIZYmNjjY6npaVh+PDhcHZ2hlKpxJAhQ3Djxg2pvqioCJGRkVAqlXB3d8fkyZNRVlZm1rWZTBAREVmNrAnFfGfOnMH777+PPn36GB1PS0vDyJEjER4ejtOnT+PMmTOIiYmBjc3/fv4jIyORnZ2N1NRU7NmzB8ePH8fUqVPNuj4fcxAREVnLHVi0qqysDJGRkVi/fj0WL15sVBcXF4dXXnkFr732mnSsR48e0p8vXLiA/fv348yZMxgwYAAA4N1338UTTzyBt956Cz4+Pk1qA0cmiIiIrKV2nQlTBYBerzcqFRUVDZ4yOjoaWq0WYWFhRscLCwuRnp4OLy8vPProo/D29sbjjz+OEydOSDFpaWlwd3eXEgkACAsLg42NDdLT05vcLSYTREREViJE4wUAunbtCjc3N6kkJibWe76UlBScPXu23vpLly4BABISEjBlyhTs378fwcHBGDFiBC5evAgA0Ol08PLyMvqenZ0dPDw8oNPpmtwvPuYgIiKylkZWwKyty8/Ph1KplA4rFIo6ofn5+ZgxYwZSU1Ph4OBQ91S/72f+4osvYtKkSQCA/v3749ChQ9i4cWODCUpzMJkgIiKyEpm4WUzVA4BSqTRKJuqTkZGBwsJCBAcHS8dqampw/PhxvPfee8jNzQUABAYGGn2vZ8+eyMvLAwCoVCoUFhYa1VdXV6OoqAgqlaqp3eJjDiIiIqsRTShNNGLECGRlZSEzM1MqAwYMQGRkJDIzM9GtWzf4+PhISUWtb7/9Fn5+fgAAtVqN4uJiZGRkSPWHDx+GwWBAaGhok9vCkQkiIiJraeJjjqZwdXVF7969jY45OzvD09NTOj5z5kzMnz8fffv2Rb9+/bB582Z88803+Ne//gXg5ijFyJEjMWXKFCQlJaGqqgoxMTEYN25ck9/kAJhMEBERWc8deDXUlNjYWJSXlyMuLg5FRUXo27cvUlNT8cADD0gxW7duRUxMDEaMGAEbGxtERERg9erVZl3HrMcc69atQ58+faRnOWq1Gp999plUX15ejujoaHh6esLFxQUREREoKCgwOkdeXh60Wi2cnJzg5eWFmTNnorq62ijm6NGjCA4OhkKhQPfu3ZGcnGxWp4iIiNqkJr4a2lxHjx7FypUrjY699tpryM/Px/Xr13Hy5EkMGjTIqN7DwwPbtm1DaWkpSkpKsHHjRri4uJh1XbOSiS5dumDp0qXIyMjAl19+ieHDh+PJJ59EdnY2gJuLY+zevRs7duzAsWPHcOXKFYwZM0b6fk1NDbRaLSorK3Hy5Els3rwZycnJmDdvnhRz+fJlaLVaDBs2DJmZmYiNjcULL7yAAwcOmNUxIiKitqZ2Aqap0h6Z9Zhj9OjRRp+XLFmCdevW4dSpU+jSpQs+/PBDbNu2DcOHDwcAbNq0CT179sSpU6cwcOBAHDx4EDk5Ofj888/h7e2Nfv36YdGiRZg9ezYSEhIgl8uRlJQEf39/vP322wBuPs85ceIEVqxYAY1G00LdJiIiagVWfsxhLc1+m6OmpgYpKSm4fv061Go1MjIyUFVVZbQCV0BAAHx9fZGWlgbg5kpbQUFB8Pb2lmI0Gg30er00upGWllZnFS+NRiOdoyEVFRV1VgwjIiJqS2RoZGSitRvYTGZPwMzKyoJarUZ5eTlcXFywc+dOBAYGIjMzE3K5HO7u7kbx3t7e0ipaOp3OKJGora+tMxWj1+tx48YNODo61tuuxMRELFiwwNzuEDXIf9Vbrd0EIrrbCNnNYqq+HTJ7ZKJHjx7IzMxEeno6pk+fjqioKOTk5NyJtpllzpw5KCkpkUp+fn5rN4mIiMhYC64z0ZaYPTIhl8vRvXt3AEBISAjOnDmDVatW4ZlnnkFlZSWKi4uNRicKCgqkVbRUKhVOnz5tdL7atz1ujbn9DZCCggIolcoGRyWAm0uN1rfcKBERUVshM9wspurbI4tXwDQYDKioqEBISAjs7e1x6NAhqS43Nxd5eXlQq9UAbq60lZWVZbR0Z2pqKpRKpbTcp1qtNjpHbUztOYiIiNotjkzcfJQwatQo+Pr6orS0FNu2bcPRo0dx4MABuLm5YfLkyYiPj4eHhweUSiVefvllqNVqDBw4EAAQHh6OwMBATJgwAcuXL4dOp8PcuXMRHR0tjSpMmzYN7733HmbNmoXnn38ehw8fxvbt27F3796W7z0REZEV3a0jE2YlE4WFhZg4cSKuXr0KNzc39OnTBwcOHMAf/vAHAMCKFSuk1bMqKiqg0Wiwdu1a6fu2trbYs2cPpk+fDrVaDWdnZ0RFRWHhwoVSjL+/P/bu3Yu4uDisWrUKXbp0wYYNG/haKBERtX936QRMmRCinQ6qmKbX6+Hm5ga/ZYthU8/WrERERLUM5eX4cfZclJSUNLpbZ3PU/ib5J7xh8jfJUF6Oywl/u2PtuFO4NwcREZGV8DEHERERWaaxJbPb6bMCJhNERETWYvi9mKpvh5hMEBERWUljm3m1142+LF5ngoiIiO5tHJkgIiKyEk7AJCIiIsu100cZpjCZICIishKOTBAREZFlGtt/o52OWjCZICIispK79W0OJhNERETWwnUmiIiIyBIcmSAiIiLLcM4EERERWYJvcxAREZFlODJBREREluDIBBEREVmGIxNERERkCdnvxVR9e8RkgoiIyEr4mIOIiIgsc5c+5rBp7QYQERHdK2Tif6MT9RYLkomlS5dCJpMhNja2Tp0QAqNGjYJMJsOnn35qVJeXlwetVgsnJyd4eXlh5syZqK6uNuvaHJkgIiKyljs0MnHmzBm8//776NOnT731K1euhExWd0ZGTU0NtFotVCoVTp48iatXr2LixImwt7fHG2+80eTrc2SCiIjISmqX0zZVzFVWVobIyEisX78eHTp0qFOfmZmJt99+Gxs3bqxTd/DgQeTk5GDLli3o168fRo0ahUWLFmHNmjWorKxschuYTBAREVmJyUcct0zO1Ov1RqWioqLBc0ZHR0Or1SIsLKxO3W+//YZnn30Wa9asgUqlqlOflpaGoKAgeHt7S8c0Gg30ej2ys7Ob3C8mE0RERNYimlAAdO3aFW5ublJJTEys93QpKSk4e/Zsg/VxcXF49NFH8eSTT9Zbr9PpjBIJANJnnU7X5G6ZlUwkJibi4YcfhqurK7y8vPDUU08hNzfXKKa8vBzR0dHw9PSEi4sLIiIiUFBQYBTTlMkeR48eRXBwMBQKBbp3747k5GRzmkpERNT2NDGZyM/PR0lJiVTmzJlT51T5+fmYMWMGtm7dCgcHhzr1u3btwuHDh7Fy5co71Jn/MSuZOHbsGKKjo3Hq1CmkpqaiqqoK4eHhuH79uhQTFxeH3bt3Y8eOHTh27BiuXLmCMWPGSPW1kz0qKytx8uRJbN68GcnJyZg3b54Uc/nyZWi1WgwbNgyZmZmIjY3FCy+8gAMHDrRAl4mIiFpHUx9zKJVKo6JQKOqcKyMjA4WFhQgODoadnR3s7Oxw7NgxrF69GnZ2dkhNTcX3338Pd3d3qR4AIiIiMHToUACASqWq8w/+2s/1PRZpsF9CiGa/iPLzzz/Dy8sLx44dw5AhQ1BSUoJOnTph27Zt+POf/wwA+Oabb9CzZ0+kpaVh4MCB+Oyzz/DHP/4RV65ckYZSkpKSMHv2bPz888+Qy+WYPXs29u7di/Pnz0vXGjduHIqLi7F///4mtU2v18PNzQ1+yxbDpp6MjYiIqJahvBw/zp6LkpISKJXKFj9/7W9SvwlLYCtv+DepprIcmf/39ya1o7S0FD/++KPRsUmTJiEgIACzZ89Gx44d8csvvxjVBwUFYdWqVRg9ejT8/f2l3+SrV6/Cy8sLAPDBBx9g5syZKCwsrDeJqY9Fr4aWlJQAADw8PADczJKqqqqMJoEEBATA19dXSiYamuwxffp0ZGdno3///khLS6szkUSj0dT77mytiooKowkqer3ekq4RERG1uJZcAdPV1RW9e/c2Oubs7AxPT0/peH2jC76+vvD39wcAhIeHIzAwEBMmTMDy5cuh0+kwd+5cREdHNzmRACxIJgwGA2JjY/HYY49JjdbpdJDL5XB3dzeK9fb2liZyNGWyR0Mxer0eN27cgKOjY532JCYmYsGCBc3tDhHRXe/yjFdbuwlG/Fe91dpNsL42tgKmra0t9uzZg+nTp0OtVsPZ2RlRUVFYuHChWedpdjIRHR2N8+fP48SJE809RYuaM2cO4uPjpc96vR5du3ZtxRYREREZa2wtCUtWwARuvrxgSn0zG/z8/LBv3z6LrtusZCImJgZ79uzB8ePH0aVLF+m4SqVCZWUliouLjUYnCgoKpKEWlUqF06dPG53v9skeDU0IUSqV9Y5KAIBCoTBrSIaIiMja7taNvsx6m0MIgZiYGOzcuROHDx+WnrnUCgkJgb29PQ4dOiQdy83NRV5eHtRqNQBArVYjKysLhYWFUkxqaiqUSiUCAwOlmFvPURtTew4iIqJ2qYmvhrY3Zo1MREdHY9u2bfj3v/8NV1dXaY6Dm5sbHB0d4ebmhsmTJyM+Ph4eHh5QKpV4+eWXoVarMXDgQABNm+wxbdo0vPfee5g1axaef/55HD58GNu3b8fevXtbuPtERERWJARkBhMZQ/NfsGxVZiUT69atAwDp/dRamzZtwl//+lcAwIoVK2BjY4OIiAhUVFRAo9Fg7dq1UmxTJnv4+/tj7969iIuLw6pVq9ClSxds2LABGo2mmd0kIiJqfXd6zkRrMSuZaMqSFA4ODlizZg3WrFnTYExTJnsMHToU586dM6d5REREbVsbe5ujpXALciIiIiuR1QAyE7MVZTXWa0tLYjJBRERkJXzMQURERJYRwvQky3thAiYRERE13926zgSTCSIiIivhYw4iIiKyiMxgep0Jk2tQtGFMJoiIiKyFr4YSERGRJfiYg4iIiCxTIwAbExlDTfvMJphMEBERWYkMjYxMWK0lLYvJBBERkZVwAiYRERFZhhMwiYiIyBIyISAzscqlqbq2jMkEERGRlchqBGQmJk3IOAGTiIiITOJjDiIiIrIIN/oiIiIiS/BtDiIiIrIIdw0lIiIiyxjEzWKqvh1iMkFERGQlfDWUiIiILMMJmERERGQJmUGYXEuCEzCJiIjINIFGRias1pIWxWSCiIjIWmoaWbWqna6AadPaDSAiIrpX1E7ANFWaa+nSpZDJZIiNjQUAFBUV4eWXX0aPHj3g6OgIX19fvPLKKygpKTH6Xl5eHrRaLZycnODl5YWZM2eiurrarGubnUwcP34co0ePho+PD2QyGT799FOjeiEE5s2bh86dO8PR0RFhYWG4ePGiUUxRUREiIyOhVCrh7u6OyZMno6yszCjm66+/xuDBg+Hg4ICuXbti+fLl5jaViIiobamdgGmqNMOZM2fw/vvvo0+fPtKxK1eu4MqVK3jrrbdw/vx5JCcnY//+/Zg8ebIUU1NTA61Wi8rKSpw8eRKbN29GcnIy5s2bZ9b1zU4mrl+/jr59+2LNmjX11i9fvhyrV69GUlIS0tPT4ezsDI1Gg/LycikmMjIS2dnZSE1NxZ49e3D8+HFMnTpVqtfr9QgPD4efnx8yMjLw5ptvIiEhAR988IG5zSUiImo7DIbGi5nKysoQGRmJ9evXo0OHDtLx3r174+OPP8bo0aPxwAMPYPjw4ViyZAl2794tjTwcPHgQOTk52LJlC/r164dRo0Zh0aJFWLNmDSorK5vcBrOTiVGjRmHx4sV4+umn69QJIbBy5UrMnTsXTz75JPr06YN//OMfuHLlijSCceHCBezfvx8bNmxAaGgoBg0ahHfffRcpKSm4cuUKAGDr1q2orKzExo0b0atXL4wbNw6vvPIK3nnnHXObS0RE1HYYmlBw8x/Vt5aKiooGTxkdHQ2tVouwsLBGL19SUgKlUgk7u5tTJtPS0hAUFARvb28pRqPRQK/XIzs7u8ndatE5E5cvX4ZOpzPqkJubG0JDQ5GWlgbgZsPd3d0xYMAAKSYsLAw2NjZIT0+XYoYMGQK5XC7FaDQa5Obm4tdff6332hUVFXVuPhERUVvS1DkTXbt2hZubm1QSExPrPV9KSgrOnj3bYP2tfvnlFyxatMjoSYBOpzNKJABIn3U6XZP71aJvc9ReuL6G1dbpdDp4eXkZN8LODh4eHkYx/v7+dc5RW3frME6txMRELFiwoGU6QkR0F/Jf9VZrN4Fqbhl+aLAeyM/Ph1KplA4rFIo6ofn5+ZgxYwZSU1Ph4OBg8rJ6vR5arRaBgYFISEhoTstNumve5pgzZw5KSkqkkp+f39pNIiIiMtbECZhKpdKo1JdMZGRkoLCwEMHBwbCzs4OdnR2OHTuG1atXw87ODjU1NQCA0tJSjBw5Eq6urti5cyfs7e2lc6hUKhQUFBidt/azSqVqcrdaNJmovXB9DautU6lUKCwsNKqvrq5GUVGRUYy5nVMoFHVuPhERUZsiGpl8KZo+AXPEiBHIyspCZmamVAYMGIDIyEhkZmbC1tZWeqFBLpdj165ddUYw1Go1srKyjH6XU1NToVQqERgY2OS2tGgy4e/vD5VKhUOHDknH9Ho90tPToVarAdxseHFxMTIyMqSYw4cPw2AwIDQ0VIo5fvw4qqqqpJjU1FT06NGj3kccRERE7ULtrqGmShO5urqid+/eRsXZ2Rmenp7o3bu3lEhcv34dH374IfR6PXQ6HXQ6nTRqER4ejsDAQEyYMAFfffUVDhw4gLlz5yI6Orre0ZCGmJ1MlJWVSRkQcHPSZWZmJvLy8qTFMhYvXoxdu3YhKysLEydOhI+PD5566ikAQM+ePTFy5EhMmTIFp0+fxhdffIGYmBiMGzcOPj4+AIBnn30WcrkckydPRnZ2Nj766COsWrUK8fHx5jaXiIio7RCGxksLOXv2LNLT05GVlYXu3bujc+fOUqmdCmBra4s9e/bA1tYWarUazz33HCZOnIiFCxeadS2zJ2B++eWXGDZsmPS59gc+KioKycnJmDVrFq5fv46pU6eiuLgYgwYNwv79+42GVrZu3YqYmBiMGDECNjY2iIiIwOrVq6V6Nzc3HDx4ENHR0QgJCUHHjh0xb948oxmoRERE7U5NIwlDM9aZuNXRo0elPw8dOhSiCYtg+fn5Yd++fRZdVyaacqV2SK/Xw83NDX7LFsOmkVmuRER0bzOUl+PH2XOldRhaWu1vUpjPi7CzafjxQbWhAp9fef+OteNO4UZfRERE1mIQMPlqKLcgJyIiIpMMjawzYeFjjtbCZIKIiMhaGtvMq53OPGAyQUREZC13eAJma2EyQUREZCVCGCBMJBOm6toyJhNERETWIhpZmIqPOYiIiMikmhpAVtNwvTBR14YxmSAiIrIWIQBwZIKIiIiaSdTUQJgYmRAcmSAiIiKTDAKQcWSCiIiImks0sgImkwkiIiIy5eZjjoY37OZjDiIiIjKpylAJYWICZjWqrNialsNkgoiI6A6Ty+VQqVQ4odvTaKxKpYJcLrdCq1oOkwkiIqI7zMHBAZcvX0ZlZWWjsXK5HA4ODlZoVcthMkFERGQFDg4O7S5JaKqGZ4EQERERNQGTCSIiIrIIkwkiIiKyCJMJIiIisgiTCSIiIrIIkwkiIiKyCJMJIiIisgiTCSIiIrIIkwkiIiKySJtOJtasWYP7778fDg4OCA0NxenTp1u7SURERHSbNptMfPTRR4iPj8f8+fNx9uxZ9O3bFxqNBoWFha3dNCIiIrpFm00m3nnnHUyZMgWTJk1CYGAgkpKS4OTkhI0bN7Z204iIiOgWbXKjr8rKSmRkZGDOnDnSMRsbG4SFhSEtLa3e71RUVKCiokL6XFJSAgAwlJff2cYSEVG7V/tbIYRo5Za0T20ymfjll19QU1MDb29vo+Pe3t745ptv6v1OYmIiFixYUOd4/vzFd6SNRER09yktLYWbm1trN6PdaZPJRHPMmTMH8fHx0ufi4mL4+fkhLy+P/8eoh16vR9euXZGfnw+lUtnazWlzeH9M4/0xjfencW3tHgkhUFpaCh8fn9ZuSrvUJpOJjh07wtbWFgUFBUbHCwoKoFKp6v2OQqGAQqGoc9zNza1N/B+1rVIqlbw/JvD+mMb7YxrvT+Pa0j3iPzybr01OwJTL5QgJCcGhQ4ekYwaDAYcOHYJarW7FlhEREdHt2uTIBADEx8cjKioKAwYMwCOPPIKVK1fi+vXrmDRpUms3jYiIiG7RZpOJZ555Bj///DPmzZsHnU6Hfv36Yf/+/XUmZTZEoVBg/vz59T76IN6fxvD+mMb7YxrvT+N4j+4uMsH3YIiIiMgCbXLOBBEREbUfTCaIiIjIIkwmiIiIyCJMJoiIiMgid2UycS9sXZ6YmIiHH34Yrq6u8PLywlNPPYXc3FyjmPLyckRHR8PT0xMuLi6IiIiosxBYXl4etFotnJyc4OXlhZkzZ6K6utoo5ujRowgODoZCoUD37t2RnJx8p7vX4pYuXQqZTIbY2FjpGO8P8NNPP+G5556Dp6cnHB0dERQUhC+//FKqF0Jg3rx56Ny5MxwdHREWFoaLFy8anaOoqAiRkZFQKpVwd3fH5MmTUVZWZhTz9ddfY/DgwXBwcEDXrl2xfPlyq/TPEjU1NXj99dfh7+8PR0dHPPDAA1i0aJHR3g330v05fvw4Ro8eDR8fH8hkMnz66adG9da8Fzt27EBAQAAcHBwQFBSEffv2tXh/yUziLpOSkiLkcrnYuHGjyM7OFlOmTBHu7u6ioKCgtZvWojQajdi0aZM4f/68yMzMFE888YTw9fUVZWVlUsy0adNE165dxaFDh8SXX34pBg4cKB599FGpvrq6WvTu3VuEhYWJc+fOiX379omOHTuKOXPmSDGXLl0STk5OIj4+XuTk5Ih3331X2Nraiv3791u1v5Y4ffq0uP/++0WfPn3EjBkzpOP3+v0pKioSfn5+4q9//atIT08Xly5dEgcOHBDfffedFLN06VLh5uYmPv30U/HVV1+JP/3pT8Lf31/cuHFDihk5cqTo27evOHXqlPjPf/4junfvLsaPHy/Vl5SUCG9vbxEZGSnOnz8v/vnPfwpHR0fx/vvvW7W/5lqyZInw9PQUe/bsEZcvXxY7duwQLi4uYtWqVVLMvXR/9u3bJ/7+97+LTz75RAAQO3fuNKq31r344osvhK2trVi+fLnIyckRc+fOFfb29iIrK+uO3wNq2F2XTDzyyCMiOjpa+lxTUyN8fHxEYmJiK7bqzissLBQAxLFjx4QQQhQXFwt7e3uxY8cOKebChQsCgEhLSxNC3PyPg42NjdDpdFLMunXrhFKpFBUVFUIIIWbNmiV69epldK1nnnlGaDSaO92lFlFaWioefPBBkZqaKh5//HEpmeD9EWL27Nli0KBBDdYbDAahUqnEm2++KR0rLi4WCoVC/POf/xRCCJGTkyMAiDNnzkgxn332mZDJZOKnn34SQgixdu1a0aFDB+me1V67R48eLd2lFqXVasXzzz9vdGzMmDEiMjJSCHFv35/bkwlr3ouxY8cKrVZr1J7Q0FDx4osvtmgfyTx31WOO2q3Lw8LCpGONbV1+t6jdct3DwwMAkJGRgaqqKqN7ERAQAF9fX+lepKWlISgoyGghMI1GA71ej+zsbCnm1nPUxrSX+xkdHQ2tVlunD7w/wK5duzBgwAD85S9/gZeXF/r374/169dL9ZcvX4ZOpzPqn5ubG0JDQ43ukbu7OwYMGCDFhIWFwcbGBunp6VLMkCFDIJfLpRiNRoPc3Fz8+uuvd7qbzfboo4/i0KFD+PbbbwEAX331FU6cOIFRo0YB4P25lTXvRXv+O3c3u6uSCVNbl+t0ulZq1Z1nMBgQGxuLxx57DL179wYA6HQ6yOVyuLu7G8Xeei90Ol2996q2zlSMXq/HjRs37kR3WkxKSgrOnj2LxMTEOnW8P8ClS5ewbt06PPjggzhw4ACmT5+OV155BZs3bwbwvz6a+vuk0+ng5eVlVG9nZwcPDw+z7mNb9Nprr2HcuHEICAiAvb09+vfvj9jYWERGRgLg/bmVNe9FQzHt5V7drdrsctrUdNHR0Th//jxOnDjR2k1pM/Lz8zFjxgykpqbCwcGhtZvTJhkMBgwYMABvvPEGAKB///44f/48kpKSEBUV1cqta33bt2/H1q1bsW3bNvTq1QuZmZmIjY2Fj48P7w/Rbe6qkYnmbF3e3sXExGDPnj04cuQIunTpIh1XqVSorKxEcXGxUfyt90KlUtV7r2rrTMUolUo4Ojq2dHdaTEZGBgoLCxEcHAw7OzvY2dnh2LFjWL16Nezs7ODt7X1P3x8A6Ny5MwIDA42O9ezZE3l5eQD+10dTf59UKhUKCwuN6qurq1FUVGTWfWyLZs6cKY1OBAUFYcKECYiLi5NGuu71+3Mra96LhmLay726W91VycS9tHW5EAIxMTHYuXMnDh8+DH9/f6P6kJAQ2NvbG92L3Nxc5OXlSfdCrVYjKyvL6C94amoqlEql9COjVquNzlEb09bv54gRI5CVlYXMzEypDBgwAJGRkdKf7+X7AwCPPfZYndeJv/32W/j5+QEA/P39oVKpjPqn1+uRnp5udI+Ki4uRkZEhxRw+fBgGgwGhoaFSzPHjx1FVVSXFpKamokePHujQocMd65+lfvvtN9jYGP8n0tbWFgaDAQDvz62seS/a89+5u1przwBtaSkpKUKhUIjk5GSRk5Mjpk6dKtzd3Y1m5N8Npk+fLtzc3MTRo0fF1atXpfLbb79JMdOmTRO+vr7i8OHD4ssvvxRqtVqo1WqpvvbVx/DwcJGZmSn2798vOnXqVO+rjzNnzhQXLlwQa9asaTevPt7u1rc5hOD9OX36tLCzsxNLliwRFy9eFFu3bhVOTk5iy5YtUszSpUuFu7u7+Pe//y2+/vpr8eSTT9b7ul///v1Fenq6OHHihHjwwQeNXvcrLi4W3t7eYsKECeL8+fMiJSVFODk5tblXH28XFRUl7rvvPunV0E8++UR07NhRzJo1S4q5l+5PaWmpOHfunDh37pwAIN555x1x7tw58eOPPwohrHcvvvjiC2FnZyfeeustceHCBTF//ny+GtoG3HXJhBBCvPvuu8LX11fI5XLxyCOPiFOnTrV2k1ocgHrLpk2bpJgbN26Il156SXTo0EE4OTmJp59+Wly9etXoPD/88IMYNWqUcHR0FB07dhT/7//9P1FVVWUUc+TIEdGvXz8hl8tFt27djK7RntyeTPD+CLF7927Ru3dvoVAoREBAgPjggw+M6g0Gg3j99deFt7e3UCgUYsSIESI3N9co5tq1a2L8+PHCxcVFKJVKMWnSJFFaWmoU89VXX4lBgwYJhUIh7rvvPrF06dI73jdL6fV6MWPGDOHr6yscHBxEt27dxN///nej1xbvpftz5MiRev+bExUVJYSw7r3Yvn27eOihh4RcLhe9evUSe/fuvWP9pqbhFuRERERkkbtqzgQRERFZH5MJIiIisgiTCSIiIrIIkwkiIiKyCJMJIiIisgiTCSIiIrIIkwkiIiKyCJMJIiIisgiTCSIiIrIIkwkiIiKyCJMJIiIisgiTCSIiIrLI/wcmPbB2o1DX0gAAAABJRU5ErkJggg=="
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 2 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 2 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bas = mf.ModflowBas(model, ibound=ibound, strt=455.0)\n",
    "bas.plot()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-08-16T13:08:23.131629Z",
     "start_time": "2023-08-16T13:08:22.499143Z"
    }
   }
  },
  {
   "cell_type": "markdown",
   "source": [
    "### Setup Flow-Package (incl. soil parameters)"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "outputs": [],
   "source": [
    "lpf = mf.ModflowLpf(model, hk=8.64, vka=0.864, ss=1e-5, sy=0.2, wetdry=wetdry)\n",
    "#lpf.plot()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-08-16T13:08:23.165501Z",
     "start_time": "2023-08-16T13:08:23.133223Z"
    }
   }
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The Solver and Output Control"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-16T13:08:23.165644Z",
     "start_time": "2023-08-16T13:08:23.135613Z"
    }
   },
   "outputs": [],
   "source": [
    "pcg = mf.ModflowPcg(model, rclose=1e-2, hclose=1e-2)\n",
    "oc = mf.ModflowOc(model)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Calculate the model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-16T13:08:23.165841Z",
     "start_time": "2023-08-16T13:08:23.137752Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "FloPy is using the following executable to run the model: ../modflow/mf2005\n",
      "\n",
      "                                  MODFLOW-2005     \n",
      "    U.S. GEOLOGICAL SURVEY MODULAR FINITE-DIFFERENCE GROUND-WATER FLOW MODEL\n",
      "                             Version 1.12.00 2/3/2017                        \n",
      "\n",
      " Using NAME file: RP1.nam \n",
      " Run start date and time (yyyy/mm/dd hh:mm:ss): 2023/08/16 15:08:23\n"
     ]
    },
    {
     "data": {
      "text/plain": "(False, [])"
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.write_input()\n",
    "model.run_model()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Read calculated data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-16T13:08:23.462741Z",
     "start_time": "2023-08-16T13:08:23.156742Z"
    }
   },
   "outputs": [
    {
     "ename": "ValueError",
     "evalue": "datafile error: file is empty: workspace/RP1.hds",
     "output_type": "error",
     "traceback": [
      "\u001B[0;31m---------------------------------------------------------------------------\u001B[0m",
      "\u001B[0;31mValueError\u001B[0m                                Traceback (most recent call last)",
      "Cell \u001B[0;32mIn[17], line 3\u001B[0m\n\u001B[1;32m      1\u001B[0m \u001B[38;5;28;01mimport\u001B[39;00m \u001B[38;5;21;01mflopy\u001B[39;00m\u001B[38;5;21;01m.\u001B[39;00m\u001B[38;5;21;01mutils\u001B[39;00m \u001B[38;5;28;01mas\u001B[39;00m \u001B[38;5;21;01mfu\u001B[39;00m\n\u001B[0;32m----> 3\u001B[0m hds \u001B[38;5;241m=\u001B[39m \u001B[43mfu\u001B[49m\u001B[38;5;241;43m.\u001B[39;49m\u001B[43mHeadFile\u001B[49m\u001B[43m(\u001B[49m\u001B[43mos\u001B[49m\u001B[38;5;241;43m.\u001B[39;49m\u001B[43mpath\u001B[49m\u001B[38;5;241;43m.\u001B[39;49m\u001B[43mjoin\u001B[49m\u001B[43m(\u001B[49m\u001B[43mworkspace\u001B[49m\u001B[43m,\u001B[49m\u001B[43m \u001B[49m\u001B[38;5;124;43m'\u001B[39;49m\u001B[38;5;124;43mRP1.hds\u001B[39;49m\u001B[38;5;124;43m'\u001B[39;49m\u001B[43m)\u001B[49m\u001B[43m)\u001B[49m\n\u001B[1;32m      4\u001B[0m h \u001B[38;5;241m=\u001B[39m hds\u001B[38;5;241m.\u001B[39mget_data(kstpkper\u001B[38;5;241m=\u001B[39m(\u001B[38;5;241m0\u001B[39m,\u001B[38;5;241m0\u001B[39m))\n",
      "File \u001B[0;32m~/Projects/inowas/jupyter-notebooks/rio-primero-case-study/venv/lib/python3.9/site-packages/flopy/utils/binaryfile.py:639\u001B[0m, in \u001B[0;36mHeadFile.__init__\u001B[0;34m(self, filename, text, precision, verbose, **kwargs)\u001B[0m\n\u001B[1;32m    637\u001B[0m \u001B[38;5;28mself\u001B[39m\u001B[38;5;241m.\u001B[39mtext \u001B[38;5;241m=\u001B[39m text\u001B[38;5;241m.\u001B[39mencode()\n\u001B[1;32m    638\u001B[0m \u001B[38;5;28;01mif\u001B[39;00m precision \u001B[38;5;241m==\u001B[39m \u001B[38;5;124m\"\u001B[39m\u001B[38;5;124mauto\u001B[39m\u001B[38;5;124m\"\u001B[39m:\n\u001B[0;32m--> 639\u001B[0m     precision \u001B[38;5;241m=\u001B[39m \u001B[43mget_headfile_precision\u001B[49m\u001B[43m(\u001B[49m\u001B[43mfilename\u001B[49m\u001B[43m)\u001B[49m\n\u001B[1;32m    640\u001B[0m     \u001B[38;5;28;01mif\u001B[39;00m precision \u001B[38;5;241m==\u001B[39m \u001B[38;5;124m\"\u001B[39m\u001B[38;5;124munknown\u001B[39m\u001B[38;5;124m\"\u001B[39m:\n\u001B[1;32m    641\u001B[0m         s \u001B[38;5;241m=\u001B[39m \u001B[38;5;124mf\u001B[39m\u001B[38;5;124m\"\u001B[39m\u001B[38;5;124mError. Precision could not be determined for \u001B[39m\u001B[38;5;132;01m{\u001B[39;00mfilename\u001B[38;5;132;01m}\u001B[39;00m\u001B[38;5;124m\"\u001B[39m\n",
      "File \u001B[0;32m~/Projects/inowas/jupyter-notebooks/rio-primero-case-study/venv/lib/python3.9/site-packages/flopy/utils/binaryfile.py:372\u001B[0m, in \u001B[0;36mget_headfile_precision\u001B[0;34m(filename)\u001B[0m\n\u001B[1;32m    370\u001B[0m \u001B[38;5;28;01massert\u001B[39;00m f\u001B[38;5;241m.\u001B[39mtell() \u001B[38;5;241m==\u001B[39m \u001B[38;5;241m0\u001B[39m\n\u001B[1;32m    371\u001B[0m \u001B[38;5;28;01mif\u001B[39;00m totalbytes \u001B[38;5;241m==\u001B[39m \u001B[38;5;241m0\u001B[39m:\n\u001B[0;32m--> 372\u001B[0m     \u001B[38;5;28;01mraise\u001B[39;00m \u001B[38;5;167;01mValueError\u001B[39;00m(\u001B[38;5;124mf\u001B[39m\u001B[38;5;124m\"\u001B[39m\u001B[38;5;124mdatafile error: file is empty: \u001B[39m\u001B[38;5;132;01m{\u001B[39;00mfilename\u001B[38;5;132;01m}\u001B[39;00m\u001B[38;5;124m\"\u001B[39m)\n\u001B[1;32m    374\u001B[0m \u001B[38;5;66;03m# first try single\u001B[39;00m\n\u001B[1;32m    375\u001B[0m vartype \u001B[38;5;241m=\u001B[39m [\n\u001B[1;32m    376\u001B[0m     (\u001B[38;5;124m\"\u001B[39m\u001B[38;5;124mkstp\u001B[39m\u001B[38;5;124m\"\u001B[39m, \u001B[38;5;124m\"\u001B[39m\u001B[38;5;124m<i4\u001B[39m\u001B[38;5;124m\"\u001B[39m),\n\u001B[1;32m    377\u001B[0m     (\u001B[38;5;124m\"\u001B[39m\u001B[38;5;124mkper\u001B[39m\u001B[38;5;124m\"\u001B[39m, \u001B[38;5;124m\"\u001B[39m\u001B[38;5;124m<i4\u001B[39m\u001B[38;5;124m\"\u001B[39m),\n\u001B[0;32m   (...)\u001B[0m\n\u001B[1;32m    380\u001B[0m     (\u001B[38;5;124m\"\u001B[39m\u001B[38;5;124mtext\u001B[39m\u001B[38;5;124m\"\u001B[39m, \u001B[38;5;124m\"\u001B[39m\u001B[38;5;124mS16\u001B[39m\u001B[38;5;124m\"\u001B[39m),\n\u001B[1;32m    381\u001B[0m ]\n",
      "\u001B[0;31mValueError\u001B[0m: datafile error: file is empty: workspace/RP1.hds"
     ]
    }
   ],
   "source": [
    "import flopy.utils as fu\n",
    "\n",
    "hds = fu.HeadFile(os.path.join(workspace, 'RP1.hds'))\n",
    "h = hds.get_data(kstpkper=(0,0))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "ExecuteTime": {
     "start_time": "2023-08-16T13:08:23.459852Z"
    }
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "x = np.linspace(0, delr * ncol, ncol)\n",
    "y = np.linspace(delc* nrow, 0, nrow)\n",
    "\n",
    "c = plt.contour(x, y, h[0], np.arange(435.0, 460.0, 1))\n",
    "plt.clabel(c, fmt='%2.1f')\n",
    "plt.axis('scaled')\n",
    "plt.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "outputs": [],
   "source": [],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2023-08-16T13:08:23.461288Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "outputs": [
    {
     "ename": "Exception",
     "evalue": "Transient3d error: value cannot be a list anymore.  try a dict{kper,value}",
     "output_type": "error",
     "traceback": [
      "\u001B[0;31m---------------------------------------------------------------------------\u001B[0m",
      "\u001B[0;31mException\u001B[0m                                 Traceback (most recent call last)",
      "Cell \u001B[0;32mIn[19], line 14\u001B[0m\n\u001B[1;32m     11\u001B[0m lak \u001B[38;5;241m=\u001B[39m LakAdapter(lakObj)\n\u001B[1;32m     12\u001B[0m lak\u001B[38;5;241m.\u001B[39mmerge()\n\u001B[0;32m---> 14\u001B[0m lakPkg \u001B[38;5;241m=\u001B[39m \u001B[43mlak\u001B[49m\u001B[38;5;241;43m.\u001B[39;49m\u001B[43mget_package\u001B[49m\u001B[43m(\u001B[49m\u001B[43mmodel\u001B[49m\u001B[43m)\u001B[49m\n",
      "File \u001B[0;32m~/Projects/inowas/jupyter-notebooks/rio-primero-case-study/adapters/lakAdapter.py:62\u001B[0m, in \u001B[0;36mLakAdapter.get_package\u001B[0;34m(self, _mf)\u001B[0m\n\u001B[1;32m     60\u001B[0m \u001B[38;5;28;01mdef\u001B[39;00m \u001B[38;5;21mget_package\u001B[39m(\u001B[38;5;28mself\u001B[39m, _mf):\n\u001B[1;32m     61\u001B[0m     content \u001B[38;5;241m=\u001B[39m \u001B[38;5;28mself\u001B[39m\u001B[38;5;241m.\u001B[39mmerge()\n\u001B[0;32m---> 62\u001B[0m     \u001B[38;5;28;01mreturn\u001B[39;00m \u001B[43mmf\u001B[49m\u001B[38;5;241;43m.\u001B[39;49m\u001B[43mModflowLak\u001B[49m\u001B[43m(\u001B[49m\n\u001B[1;32m     63\u001B[0m \u001B[43m        \u001B[49m\u001B[43m_mf\u001B[49m\u001B[43m,\u001B[49m\n\u001B[1;32m     64\u001B[0m \u001B[43m        \u001B[49m\u001B[38;5;241;43m*\u001B[39;49m\u001B[38;5;241;43m*\u001B[39;49m\u001B[43mcontent\u001B[49m\n\u001B[1;32m     65\u001B[0m \u001B[43m    \u001B[49m\u001B[43m)\u001B[49m\n",
      "File \u001B[0;32m~/Projects/inowas/jupyter-notebooks/rio-primero-case-study/venv/lib/python3.9/site-packages/flopy/modflow/mflak.py:401\u001B[0m, in \u001B[0;36mModflowLak.__init__\u001B[0;34m(self, model, nlakes, ipakcb, theta, nssitr, sscncr, surfdep, stages, stage_range, tab_files, tab_units, lakarr, bdlknc, sill_data, flux_data, extension, unitnumber, filenames, options, lwrt, **kwargs)\u001B[0m\n\u001B[1;32m    399\u001B[0m     \u001B[38;5;28;01mraise\u001B[39;00m \u001B[38;5;167;01mException\u001B[39;00m(err)\n\u001B[1;32m    400\u001B[0m nrow, ncol, nlay, nper \u001B[38;5;241m=\u001B[39m \u001B[38;5;28mself\u001B[39m\u001B[38;5;241m.\u001B[39mparent\u001B[38;5;241m.\u001B[39mget_nrow_ncol_nlay_nper()\n\u001B[0;32m--> 401\u001B[0m \u001B[38;5;28mself\u001B[39m\u001B[38;5;241m.\u001B[39mlakarr \u001B[38;5;241m=\u001B[39m \u001B[43mTransient3d\u001B[49m\u001B[43m(\u001B[49m\n\u001B[1;32m    402\u001B[0m \u001B[43m    \u001B[49m\u001B[43mmodel\u001B[49m\u001B[43m,\u001B[49m\u001B[43m \u001B[49m\u001B[43m(\u001B[49m\u001B[43mnlay\u001B[49m\u001B[43m,\u001B[49m\u001B[43m \u001B[49m\u001B[43mnrow\u001B[49m\u001B[43m,\u001B[49m\u001B[43m \u001B[49m\u001B[43mncol\u001B[49m\u001B[43m)\u001B[49m\u001B[43m,\u001B[49m\u001B[43m \u001B[49m\u001B[43mnp\u001B[49m\u001B[38;5;241;43m.\u001B[39;49m\u001B[43mint32\u001B[49m\u001B[43m,\u001B[49m\u001B[43m \u001B[49m\u001B[43mlakarr\u001B[49m\u001B[43m,\u001B[49m\u001B[43m \u001B[49m\u001B[43mname\u001B[49m\u001B[38;5;241;43m=\u001B[39;49m\u001B[38;5;124;43m\"\u001B[39;49m\u001B[38;5;124;43mlakarr_\u001B[39;49m\u001B[38;5;124;43m\"\u001B[39;49m\n\u001B[1;32m    403\u001B[0m \u001B[43m\u001B[49m\u001B[43m)\u001B[49m\n\u001B[1;32m    404\u001B[0m \u001B[38;5;28mself\u001B[39m\u001B[38;5;241m.\u001B[39mbdlknc \u001B[38;5;241m=\u001B[39m Transient3d(\n\u001B[1;32m    405\u001B[0m     model, (nlay, nrow, ncol), np\u001B[38;5;241m.\u001B[39mfloat32, bdlknc, name\u001B[38;5;241m=\u001B[39m\u001B[38;5;124m\"\u001B[39m\u001B[38;5;124mbdlknc_\u001B[39m\u001B[38;5;124m\"\u001B[39m\n\u001B[1;32m    406\u001B[0m )\n\u001B[1;32m    408\u001B[0m \u001B[38;5;28;01mif\u001B[39;00m sill_data \u001B[38;5;129;01mis\u001B[39;00m \u001B[38;5;129;01mnot\u001B[39;00m \u001B[38;5;28;01mNone\u001B[39;00m:\n",
      "File \u001B[0;32m~/Projects/inowas/jupyter-notebooks/rio-primero-case-study/venv/lib/python3.9/site-packages/flopy/utils/util_array.py:1063\u001B[0m, in \u001B[0;36mTransient3d.__init__\u001B[0;34m(self, model, shape, dtype, value, name, fmtin, cnstnt, iprn, ext_filename, locat, bin, array_free_format)\u001B[0m\n\u001B[1;32m   1061\u001B[0m \u001B[38;5;28mself\u001B[39m\u001B[38;5;241m.\u001B[39mlocat \u001B[38;5;241m=\u001B[39m locat\n\u001B[1;32m   1062\u001B[0m \u001B[38;5;28mself\u001B[39m\u001B[38;5;241m.\u001B[39marray_free_format \u001B[38;5;241m=\u001B[39m array_free_format\n\u001B[0;32m-> 1063\u001B[0m \u001B[38;5;28mself\u001B[39m\u001B[38;5;241m.\u001B[39mtransient_3ds \u001B[38;5;241m=\u001B[39m \u001B[38;5;28;43mself\u001B[39;49m\u001B[38;5;241;43m.\u001B[39;49m\u001B[43mbuild_transient_sequence\u001B[49m\u001B[43m(\u001B[49m\u001B[43m)\u001B[49m\n\u001B[1;32m   1064\u001B[0m \u001B[38;5;28;01mreturn\u001B[39;00m\n",
      "File \u001B[0;32m~/Projects/inowas/jupyter-notebooks/rio-primero-case-study/venv/lib/python3.9/site-packages/flopy/utils/util_array.py:1207\u001B[0m, in \u001B[0;36mTransient3d.build_transient_sequence\u001B[0;34m(self)\u001B[0m\n\u001B[1;32m   1205\u001B[0m \u001B[38;5;66;03m# lists aren't allowed\u001B[39;00m\n\u001B[1;32m   1206\u001B[0m \u001B[38;5;28;01melif\u001B[39;00m \u001B[38;5;28misinstance\u001B[39m(\u001B[38;5;28mself\u001B[39m\u001B[38;5;241m.\u001B[39m__value, \u001B[38;5;28mlist\u001B[39m):\n\u001B[0;32m-> 1207\u001B[0m     \u001B[38;5;28;01mraise\u001B[39;00m \u001B[38;5;167;01mException\u001B[39;00m(\n\u001B[1;32m   1208\u001B[0m         \u001B[38;5;124m\"\u001B[39m\u001B[38;5;124mTransient3d error: value cannot be a list \u001B[39m\u001B[38;5;124m\"\u001B[39m\n\u001B[1;32m   1209\u001B[0m         \u001B[38;5;124m\"\u001B[39m\u001B[38;5;124manymore.  try a dict\u001B[39m\u001B[38;5;124m{\u001B[39m\u001B[38;5;124mkper,value}\u001B[39m\u001B[38;5;124m\"\u001B[39m\n\u001B[1;32m   1210\u001B[0m     )\n\u001B[1;32m   1211\u001B[0m \u001B[38;5;28;01melse\u001B[39;00m:\n\u001B[1;32m   1212\u001B[0m     \u001B[38;5;28;01mraise\u001B[39;00m \u001B[38;5;167;01mException\u001B[39;00m(\n\u001B[1;32m   1213\u001B[0m         \u001B[38;5;124mf\u001B[39m\u001B[38;5;124m\"\u001B[39m\u001B[38;5;124mTransient3d error: value type not recognized: \u001B[39m\u001B[38;5;132;01m{\u001B[39;00m\u001B[38;5;28mtype\u001B[39m(\u001B[38;5;28mself\u001B[39m\u001B[38;5;241m.\u001B[39m__value)\u001B[38;5;132;01m}\u001B[39;00m\u001B[38;5;124m\"\u001B[39m\n\u001B[1;32m   1214\u001B[0m     )\n",
      "\u001B[0;31mException\u001B[0m: Transient3d error: value cannot be a list anymore.  try a dict{kper,value}"
     ]
    }
   ],
   "source": [
    "import json\n",
    " \n",
    "# Opening JSON file\n",
    "f = open('./lak.json')\n",
    "\n",
    "lakObj = json.load(f)\n",
    "f.close()\n",
    "from adapters.lakAdapter import LakAdapter\n",
    "\n",
    "\n",
    "lak = LakAdapter(lakObj)\n",
    "lak.merge()\n",
    "\n",
    "lakPkg = lak.get_package(model)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-08-16T13:09:07.363842Z",
     "start_time": "2023-08-16T13:09:07.254975Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "outputs": [],
   "source": [
    "for key in lakObj:\n",
    "    if key == 'flux_data':\n",
    "        print(key)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-08-16T13:08:23.465429Z",
     "start_time": "2023-08-16T13:08:23.464624Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "outputs": [],
   "source": [],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2023-08-16T13:08:23.465825Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "outputs": [
    {
     "data": {
      "text/plain": "array([[1, 2, 3],\n       [4, 5, 6]])"
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arr = np.array([[1,2,3],[4,5,6]])\n",
    "arr\n"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-08-16T13:49:48.216169Z",
     "start_time": "2023-08-16T13:49:48.203229Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "outputs": [
    {
     "ename": "AttributeError",
     "evalue": "'numpy.ndarray' object has no attribute '__name__'",
     "output_type": "error",
     "traceback": [
      "\u001B[0;31m---------------------------------------------------------------------------\u001B[0m",
      "\u001B[0;31mAttributeError\u001B[0m                            Traceback (most recent call last)",
      "Cell \u001B[0;32mIn[22], line 1\u001B[0m\n\u001B[0;32m----> 1\u001B[0m (\u001B[43marr\u001B[49m\u001B[38;5;241;43m.\u001B[39;49m\u001B[38;5;18;43m__name__\u001B[39;49m)\n",
      "\u001B[0;31mAttributeError\u001B[0m: 'numpy.ndarray' object has no attribute '__name__'"
     ]
    }
   ],
   "source": [
    "(arr.__name__)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-08-16T13:50:55.036263Z",
     "start_time": "2023-08-16T13:50:55.024515Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "outputs": [],
   "source": [],
   "metadata": {
    "collapsed": false
   }
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
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