demo_colab.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "GW972nhfM5NC"
   },
   "source": [
    "# Demo (Colab)\n",
    "\n",
    "This notebook contains code to generate RF pulses with SLR and SLfRank. This is meant to be run on Colab. Otherwise, you should run `demo.ipynb`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "id": "No8_CLkUM9hq"
   },
   "outputs": [],
   "source": [
    "!git clone https://github.com/MRSRL/slfrank\n",
    "%cd slfrank\n",
    "!pip install -r requirements.txt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "id": "tj_tgyJWM5NG"
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import cvxpy as cp\n",
    "import slfrank\n",
    "import sigpy as sp\n",
    "import sigpy.mri.rf as rf"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "e039Hhq2M5NG"
   },
   "source": [
    "# Set parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "id": "3wJzwrFnM5NG"
   },
   "outputs": [],
   "source": [
    "# Use SigPy as solver\n",
    "n = 64  # Pulse length\n",
    "tb = 8  # Time bandwidth\n",
    "d1 = 0.01  # Passband ripple\n",
    "d2 = 0.01  # Stopband ripple\n",
    "solver = 'PDHG'\n",
    "\n",
    "# To use CVXPy as solver, comment out the following\n",
    "# CVXPy gives more accurate solutions, but is much slower.\n",
    "# if 'MOSEK' in cp.installed_solvers():\n",
    "#     solver = 'MOSEK'\n",
    "# else:\n",
    "#     solver = 'SCS'\n",
    "# n = 16  # Pulse length\n",
    "# tb = 4  # Time bandwidth\n",
    "# d1 = 0.01  # Passband ripple\n",
    "# d2 = 0.01  # Stopband ripple"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "qr7VeXbKM5NG"
   },
   "source": [
    "## Generate Pulses"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 1000,
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    "id": "OQDTxAkqM5NG",
    "outputId": "d69b7ad9-6069-4693-8c64-45de10ca9de2",
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Pulse Type:\tex\n",
      "Phase:\t\tlinear\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "1183776d856f483fb8b07983323c6fba",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(FloatProgress(value=0.0, description='DesignPaulynomials', max=3000.0, style=ProgressStyle(desc…"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "SLR:\t\tEnergy=0.31805496430224967\tPeak=0.2081714423878843\n",
      "SLfRank:\tEnergy=0.2588000498263858\tPeak=0.18879261555080062\n"
     ]
    },
    {
     "data": {
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BN4rIvIRqbwA3A79PdwcNNsdehYkLeHrn4Bfn9kRhUTH+wMiuhxrsdhuJfPzjHycajfLEE0/Q0tJCVVUVxcXFvPbaa6xfv75fbVx66aXcfvvtXH755bSlbV1MPP28jwD+qKp19j8jTsOIu7CEaHjoAtXW0UFpwdADlgzJ9GcO6q3AHlXdp6pB4A/AVc4KqnpAVV8BzEzhcLH/OZi1nPpmH9PHDTz3Xm+IpwQioRGNRhrKdhtORIQvfvGLfOtb3+LSSy8lHA5z2mmncfvtt7Ns2bJ+9+faa6/lIx/5CFdeeSWdncOyNqzP+8gwwniKITL0+dd2n4+ywjS53A1x9MfFNxU45HhfD5w5mIuJyK3ArQAzZswYTBNjl85mfHnlFHka09+2y0WhK0IgHKVwhMLNB7rdxquvvtr1+te//nXcsXe/+928+93vBuCxxx5LeX57e/eCzJUrV7Jy5cqktm655RZuueWW/nR/MPT3Pnq37TLfBfybqh5KUcfcS+kgvwSi4b7r9UG7r5PSIrPVxnAwolF8qnqvqi5V1aXjx48fyUvnNuEguD2s3X2Cc+cMz/dW6oE2kzw20/wNqFXVhcBTQI+TcuZeSgNuD+jQgxvafJ2UFhuBGg76I1CHAWc41jS6J3ENI8HhTTB1Ka/Ue1k4tWJYLpFXWEoklK7EmYYU9HkfqWqjqsZ+hPuAJSPUN8MQaOsMUFqcXre7waI/ArUBOEVEZolIPnADsGp4u2WI440XiUyzvEEuV/pSqsTNOXmKkWjIbD+QgjTNzfV5H4nIZMfbK4Gd6biwoWfSsatuIBCkoLAoDb0xJNKnQKlqGPg48ATWDfOgqm4Xka+IyJUAIvIWEakHrgV+LiLbh7PTY46gj5ePhVg8vSptTRYWFtLY2Nj98BWh1B2hIzB0n/xoQlVpbGyksLBwqO30eR8BnxSR7SKyFfgkVmSsIduJhpH89GR2McTTr3VQqvoo8GhC2ZccrzdguSwM6SbYAZ4iXtjTyEfPm522ZqdNm0Z9fT0NDQ1dZRpooy16jPIiE5HkpLCwkGnThv7n3Y/76A7gjiFfyDCyRENWRKAh7ZhMEtnOwXXojLPwvxZJa4Sdx+Nh1qxZ8YXHd/LtJ17n8++/OvVJBsMoRFW7FnEPikgIPMbFNxyYXHzZTv0GdntOG/LeT/1i/FymRw9zqGnkk8caDJmg2B3FFxxaJJ9EQ1bIuiHtGIHKdiJBntndzAWnpjd7REpEWF7TyprXjw//tQyGLKA0L0L7UOddjQU1bBiBymbaj0PpBFr9ISqKRyaVypSptRw9+uaIXMtgyDSleVHa/EMVqLCZgxomjEBlM3v/wZvjz2VyxdAiyAbESReQ5z1AMGyyVhlGP+VpsKAUBZfZomU4MAKVzZzYxdPHSrgozclhe6VsIm8pOcbGg00jd02DIUOU5kVoH4IFZS3TMGsHhwsjUNlKNAoIb7YEmFI5sv7tpTVhNuw181CG0Y/l4ht8RvPOUIQis5vusGEEKls5upXjlQupKR35NUmFs5YRbEqZo9RgGFWU5kWGJFDt/jBlHiNQw4URqGxl3xoea5/DO06f3HfddDP9TCb4D3KsdWT3iDIYRpqyQs+Qtn1v9YcpyzMCNVwYgcpWAm0c8cmIu/cAyMvnvGqvCTc3jHpKigpp9w1eoNr8IcrNdu/DhhGobMTfwhvhcUwfl7m1FbWTxnHgzWMZu77BMBJ4CooJhwa/zUybP0xZnslfOVwYgcpG9q3hseBCLluQAfdejJMvoqh1P76gufkMoxhPkbXQdpC0dIao8BgLargwApWNvLmF5rzxjCvJYNLWqlrOLX6DtbtPZK4PBsNwY28z04WvCV68p+f6e/8B+57tetvYHqA63wjUcGEECqyV4E374MQeaNxrvc8U4QCv+cqZO6k8c32wWTTBzSv7M+jmi0at3yP2u4TNjr+GNOMpsrKRx9jxF2h4DUKdqesfeB72dwtUsy9EpbGgho2xm808HITtf4YTu8CVB1W11v81Clt+b/3/5Iug9pyR7de+Z3k0sJDb5o/g4twecJ16GfLEDsKR08lzj+BYpn4T7HrM+g2qT7Z+l2gEXnnQephUzoSF15n8Z4ah4ymGSHPX2yf3dHCi6B285/hOmHoGf91ymPrmTj587iwK3C7WN5ezyVvCx+wM6AqkcQ9RQwJjT6BCnbD5f6C1Hk6/FhbdkLpeNAo7/wpP3wXnfAqK0rdZYG+07d+Au3IlxflZ8NOMP5UlnsfYdLCZM2dXD//1Au2We6VqJpx3O0fbw/xt65u0B8LWWn09g9LCPBa52nnLmm/hKqmGJTdBQdnw980wOvEUodHuPdE2e0s465SZ/O+LO8mvHU9xgZur6qbwjUdf4+o5hbzYPolFFV7W7z7KWXNic8Qmk8RwkQVPwRFCFXaugkP/hKW3QPVJvdd3uWD+NTDrPHjuOzDvapj+luHtYyTMw0equead04f3Ov1FhLMnRPjpriPDL1DHtsPm38Lb/o1DoXL+8PQeKovyWblkGlWOubiWzhCbDzbzzdB1TPT5WfmP71E+ZQ6cfp31mxkMAyG/hCIJ4QuGeaPJx6mlfs5bPI/n96/GVVXE2SfXAPCht83ixQ0b+fRZVUT9eXx/+35LoKIRcI9MIuexyNgQqIbXYeOv4NTL4O1fG9i5xePgkv+Ctd+BsB9mnTs8fQSiB9ZSnz+LGdXZkxm5YO5FBJ/Zi+r8oW3q1huHN8Nrj8Dbv8E/djWwrf4wn7jglJQbNFYUeTh/7gTOnzuBw95O7n2pmElvHuX6Q3fgWfIemLxoePpoGJ14iphR6OdQUydPvXqUD05qB5eLt1W3gy1OANPHFXP9lOMw7nRcgXZ0+zGiUYVIEPJHYK+2MUq/BEpELgV+ALiB+1T17oTjBcBvgSVAI3C9qh5Ib1cHQbAD1v8ECsrhkq+mHOlEo8q+Ex3sPNLKm95OOgJhsB/EFUUelsysYv6Ucjznfg7W/QgiAWtuahh4ftM23nbGtcPS9qCZvIhF7jVsfsPLkpnD4OZ84yXYtxo9/4v88oUD1JQW8KmLTunXqVMri/jc209l17EpfP2las7bvJUVxX+HZR+Dosr099Uw+vAUUVvYwd6Gdjo6WimdEvMUpHDbed+AuZeDr5FFpbt4cW8jpXkRs1nhMNKnQImIG/gxcDFQD2wQkVWqusNR7UNAs6qeLCI3AN8Erh+ODveLaAS2PmAFQLz1o1AxteuQqiVIa3c10NAewC3CrPElzJ9SwflzJ1Ba0P2VNHUE2XywmR/9Yw/BSJR3LPgApx+4H4qrYcri9PY5HOT5xlJunzMpve0OFRHOnxzinu2H0i9QDbtgz1Nw/p387Nl9vKW2iqW14wbczJyJZXzpnfN5akcNX91Vz83P/JzpE6vhjJuM+8XQO55i5hS18NV1B/jIfKCsl/sv7LcCc0rG87bSw1z3+E6+fG4Z5BmBGi76Y0G9FdijqvsAROQPwFWAU6CuAu6yXz8E/EhERK1c9CNHJATbH4Y3t8DCa2Hx+wDw+oK8tL+JbfUtRFWZVVPCO06fzITy3vdZGleSz0XzJnLRvImEIlEe3XaEh5sv4bp1f2HuRRPihG+obHruEeadeiquLAwJyl/0buRv/8Qfmp/S7TYoOhphw33w9q/zu3++wWmTywYlTjFEhEvmT2L5nPH8z7pxdB45yk2PfZWKKSdb81OeEdxTqxdy1hsxWnHn44kG+eLl85jfvg5KbIHyFFkemFTWUV4BxRLiu9fVcXLodegwAjVc9EegpgLO1Nb1wJk91VHVsIi0ANVA3CpPEbkVuBVgxowZPV6wxRfivuf3UV2Sz0kTSplYXkhVcT6VxR48ieHOqnB8J+x6jKCvjeMzr+DwnAt5/WAbJ159naharrq3zBrHRRdPxD1IAfC4XVxVN5XLT5/MA+sLePL3f+ZD7/0AJeUVg2rPSTSq/G1HE1/62DVDbmtYGDebS0r/yFM7jvLORWkQ5XAA1nwDLvwSj+5ooKzQw4pTJwy9XaDQ4+Yjy2fT0DaVX66voeDNE1x79LtMKPHAKRdbc1TDNZfWBznpjRjt2H8LC6ZWwKZjMGmBVV4xHbyHYMJcZ2XHa2XOxDLY7zMuvmFkRIMkVPVe4F6ApUuX9mhdVRR7+MzFc2hs7WDfthfZtSdEc6SA5qDLypsVCSKdXoiEUKJIcQ067mI8BUVMaCtgSmWUSxdMYkJZ+kfNeW4X7z/nZI7NvoZv//ZBVl5zLQumDm2+46/PvsSVc8uz0nqKMX9+HX/bsiM9AvXst+Dsj7O9Salv9nHr8j4iKgfB+LIC62+ofSb/t2ki3rYO5m3ez3l5f6ciH8uiGjfbClHPL7Ws70CbtTPq7BWQV5D2PpFL3oixRGzA0nEcSuyBUuUMaHEIVDSSemAT9EFpegZXhmT6I1CHAWfc8zS7LFWdehHJAyqw3BODw9+KrP8JNZEgNbPPh8KJ1sMjHID8KmvEUjUzo+tfJk6expeuXMhvnn2Ul2efw/vOnDGoKLeOQJjXXt/BNR96zzD0Mn3InEuY8MLPOdZ6LhP7cI32ytY/wMyz8BZM4aHnd/Mfl89LXydTUF1awG3nnYSqsvNILQ/sXoAvGIFgEE54kWgIDXtB3JBXSkcgxMIN93HlJC+y7KNQUtP3RfrPiHsjDAMgEoY8e0lD5QwrsjRG29GE+Sn7Xg+2Q/6sEeviWKM/ArUBOEVEZmEJ0Q1A4tN0FXATsA5YCfxjSCM+TzGc/YmsN51dM87kg6fu5OXwfr76SAefuvAUKor7Pymvqvzoqe3cVOvNmjmSHnG5eecs4S/rX+PWS+oG18aRrdDRQPT06/n+Izv4t4vnjJjVKCLMm1LOvCl9p5Bav6+OL79SzyfCBYzA8uRB0V9vhGEgOL7G0onQ7thuxnvQymCSSE/zVIa00OfKRlUNAx8HngB2Ag+q6nYR+YqIXGlX+yVQLSJ7gM8Atw+pV+683PnRz7iJxa2r+eTSQr7/zC42HWzq96m/WLuPi2QjU8581zB2MH1MOPM6Wg5uGVyG844TlvW07F/5xdp9XP+W6VQUZWeE3bLZ1dxxxQLKS9P+NzgQbwRp8UYYBoBjsJToDfG+YXltYngKLfdeyMxBDSf9Wnqvqo+q6hxVPUlVv2aXfUlVV9mv/ap6raqerKpvjfnYxwQicP4XqNz8Y7508Qz2NXTw3ad2WeupeuHBjYc4qTjAktImKw9gLlBSzQ2zAzywevPAzgsHYc3dcP4XWLP7BBPLCzltcuaT4fZGQZ47OSBn6HR5I0QkH8sbsSqhTswbAenwRhj6pj9fr/cQlE/rfl86EdqPWum5zELdYcPkhkkHeQVw3r8ja77BtWdM5b1nzuCH/9jNfWv30dgeiKu653gb33hsJ+WFHi5s/B2c9bEMdXpwTD/vgzTt3USHv5976KjCmq/D2Z+g3udm44Fmrl6cvvD8XCIj3ghD/+hLpKKh7vkpgLLJ0HYMomGz1m4YGRupjkaC0glQdyOs+ToTV3yBOy47jaMtfv5vUz2+QBgRIRJVJlcW8pmL51CwfzXMPDv33AN5+dx47gIeWPV3Pnzd1b3XVYUXvg+nvB1fyVR+/uhr3Hn5aSPTzyxFVR8FHk0o+5LjtR/IsnQiY4BAKxQmWPUF5eBvgcIUS0nKJsPx7SPTtzGMEah0Mul06//PfBku/BKTKgq57bwUIdRtx6yNzy79+sj2L01MO/1cWl78BY2H91A99eTUlVStcPLZ5xGe+la+9fedfPLC1Pn1DIaMImJF6ZUmbHFTNROaD8LkhcSvgQLKJ8PeZ0asi2MV4+JLN5NOh7r3whN3xkcBxTiyFV74AVxw58j3LY189H3v5ft/fo7g/nXJB31N8NSXYM7b0eln8r2nd/GBs2YyvmxY1hYZDEOjsMJKi5a4nqmq1trI1N+a7OmIWVeGYcVYUMPB+Dlw3v+DTb+y9pU66QLoaIDGPZbP+pL/yvmtIUpLirn1Pdfz/b/+jc8fWodMmGuNQA88Z61XO/sTBAqr+eGTr3PB3InMHm8mkg1ZSnE1HHkFFiYk7Kg5FV5/zDo+eWH8sa4oPxO/MpwYgRouisfBuZ+1cs4degnKJsKUut6TUZ7O2xIAACAASURBVOYY06tLWL7iYn70+iE+VBShuOM4LLwByidz2NvJzx7Zya3LZzN9XPZsH2IwJFE6AV7+H2tQ6SQv39pO482X4YwPJJ8XDYM7P7nckDaMQA03JdUw9x2Z7sWwsWx2NRPKCvjZy4fJzyvHc9RHm/91igvc3Hn5aWbOyZD9TF4EJ3anjsYrKLfcfKm2b+n0wrSlw9+/MYwRKMOQmT2+lM9cciotvhDigvJCE3ZryCGKquDjG1IfO/M2K51RKi75KrjNvOpwYgTKkDYGkubJYMgqesrrmZcPeT1sA5NrS0RykNyeqTcYDAbDqEUylUVFRBqAg71UqSEhg3MOYz5LdjLUzzJTVcenqzODpR/3UiYwfyfZSbZ+lpT3UsYEqi9EZKOqjooZSPNZspPR9FmyjdH03ZrPkjmMi89gMBgMWYkRKIPBYDBkJdksUPdmugNpxHyW7GQ0fZZsYzR9t+azZIisnYMyGAwGw9gmmy0og8FgMIxhjEAZDAaDISvJSoESkUtF5HUR2SMiObWjqIhMF5HVIrJDRLaLyKfs8nEi8pSI7Lb/X5XpvvYHEXGLyMsi8oj9fpaIvGT/Nn+0ty7PCUSkUkQeEpHXRGSniJyVq79LLiAi37a/61dE5GERSZHQLrvJ5WeRk56eS9lO1gmUiLiBHwOXAfOAG0VkXmZ7NSDCwGdVdR6wDPhXu/+3A8+o6inAM+TOVt6fwtqePMY3ge+p6slAM/ChjPRqcPwAeFxV5wKLsD5Xrv4uucBTwAJVXQjsAu7IcH8GxCh4Fjnp6bmU1WSdQAFvBfao6j5VDQJ/AK7KcJ/6jaoeUdXN9us2rIfgVKzP8Bu72m+APvZLzzwiMg24HLjPfi/ABcBDdpWc+BwAIlIBLAd+CaCqQVX1koO/S66gqk+qath+ux6Ylsn+DIKcfhY56eW5lNVko0BNBQ453teTA19kKkSkFlgMvARMVNUj9qGjwMQeTssmvg/8PyBqv68GvI6HTi79NrOABuBXtsvyPhEpITd/l1zkFuCxTHdigIyaZ5GThOdSVpONAjUqEJFS4E/Ap1W11XlMrdj+rI7vF5ErgOOquinTfUkTecAZwE9VdTHQQYI7Lxd+l2xDRJ4WkVdT/LvKUedOLBfT7zLXUwP0/lzKRrJxu43DwHTH+2l2Wc4gIh6sP4Lfqeqf7eJjIjJZVY+IyGTgeOZ62C/OAa4UkXcAhUA51hxOpYjk2VZULv029UC9qsZGjQ9hCVSu/S5Zhape1NtxEbkZuAK4UHNv0WXOP4uc9PBcymqy0YLaAJxiR4vlAzcAqzLcp35jz9P8Etipqt91HFoF3GS/vgn460j3bSCo6h2qOk1Va7F+g3+o6nuB1cBKu1rWf44YqnoUOCQip9pFFwI7yLHfJZcQkUuxXMRXqqov0/0ZBDn9LHLSy3Mpq8nKTBL2qP37gBu4X1W/luEu9RsReRuwFthG99zNF7D8vQ8CM7C2RrhOVZsy0skBIiIrgM+p6hUiMhtrsngc8DLwPlUNZLJ//UVE6rACPvKBfcAHsQZpOfm7ZDsisgcoABrtovWqelsGuzRgcvlZ5KSn55KqPpq5XvVNVgqUwWAwGAzZ6OIzGAwGg8EIlMFgMBiyEyNQBoPBYMhKjEAZDAaDISsxAmUwGAyGrMQIVI4gItUissX+d1REDtuv20XkJ5nun8FgMKQbE2aeg4jIXUC7qn4n030xGAyG4cJYUDmOiKxw7NV0l4j8RkTWishBEXmXiHxLRLaJyON2qhNEZImIPCsim0TkCTvFj8EwqhGRWhHpFJEtQ2znLhH5nOP9i4Nsp8j2ggRFpGYofRqtGIEafZyEtSXGlcD/AqtV9XSgE7jcFql7gJWqugS4H8jJ1fEGwyDYq6p1iYViMajnoaqePcjzOu2+vDmY88cCRqBGH4+paggrpYkbeNwu3wbUAqcCC4Cn7JHkF8m9fXoMhi5E5EoR+VNC2b+IyD19nFdr75b7W+BVYLqI/MX2LGwXkVsdde8UkV0i8jzWPeRsp93+f9K59jV2isgv7PInRaQoTR991JON2cwNQyMAoKpREQk5MkhHsX5vAbar6lmZ6qDBkGa+BtyYULYXeHc/zj0FuElV1wOIyC2q2mSLyAZb+GqxEsXWYd1Dm4FU29CkOjd2jRtV9SMi8qDdr/8d0CccoxgLauzxOjBeRM4CKwW/iMzPcJ8MhkEhIosAl6q+KiIzReRf7EMe+re318GYONl8UkS2Yu0APB1LXM4FHlZVn72HUk8ZzVOdC7BfVWPzXpuwBM/QD4wFNcZQ1aCIrAR+KNY26HlY2Zq3Z7ZnBsOgqKPbmrmYblGYB2ztx/kdsRd21v6LgLNU1Scia7D2QuuTPs51ZvuPAMbF10+MQOUgqnqX4/UaYE1iuf2+tIdztgDLh7WTBsPI4AJKRcQNvAs4bLvYbgbeP8C2KoBmW2DmAsvs8ueAX4vIN7Ceme8Eft7Pcw1DwLj4DAZDLvMoMBvYAvwMmA9sBO5V1c0DbOtxIE9EdgJ3Y7nqsNv5I5ZF9hjWRob9OtcwNMxCXYPBMCYQkVrgEVVdkOGuxCEiB4Clqnoi033JNowFZTAYxgoRoGKoC3XTRWyhLlZAR7Sv+mMRY0EZDAaDISsxFpTBYDAYshIjUAaDwWDISoxAGQwGgyErMQJlMBgMhqzECJTBYDAYshIjUAaDwWDISoxAGQwGgyErMQJlMBgMhqzECJTBYDAYshIjUAaDwWDISoxAGQwGgyErMQJlMBgMhqzECFSOICJ3ichdudq+wWAwDBQjUDmKiFSJiIrIwYTyaSLiE5GmTPXNYDAY0oERqNylDjgMVIlImaP860A91u6fBoOhF0TkMyJyT0KZGfxlCXmZ7oBh0NQBLwM1WNtcrxeRM4CzgbVAcwb7ZjBkPSJSh7U9+9sTDsUN/lS1zS6PDf4Oj1wvxzbGgspdFgNbgFeA2BbW/w3cAcyzjxkMhhSIiBu4D/hfVV2dcDg2+NuONfjDMfh7wT5mGAGMQOUudXQL1HwRuRIoAB4GTsfcRAZDb/wbMB34XIpjZvCXJRgXXw4iIgXAaVg3yhRgJXAp8EFgDtbAY2fGOmgwZDEiMgv4MvAhVU01n1QH/BWYRPLg7zeYwd+IYSyo3GQB4AP2AduAFcBWVV2PNfp7VVXDInKJiNwPICK/EZELROQHInK2XXaJiHwtMx/BYMgYPwfWqOofEg8kDP5ewRKrbwKfwQz+RhwjULnJYuAVtfAC5wMft4/FXH+o6pOAX0R+DLSo6j+wRoDvs+u+F/ifEe25wZBBROQm4CzgX3qo0q/Bn92WGQAOM8bFl5t0iRCAqq5xHFsM/MXx/h6syd6Zdt3NIjJPRCqA6ar62vB312DIPCIyHmsu6X6gWETmJlQ5imPwB3hF5HzgVft44n33pIhc7RwAiogX+DDwItYA8BvD+qFGOUagchBV/Xgvxy6KvRYRAb4N3IblpniPfegR4GdYfnaDYazwA6Aa+KT9L5FPAHPp/+APzABwWDECNbq5DVirqveKyMkicoPtd/8d8F/ApzLbPYNh5FDV99A9SBvM+Rc535sB4PAjliVryHZEZAUkjegG29Yk4GeqevVwtG8wjAVE5F+AclX9poh8C9isqn8QkcnAfmCGqh7PbC9zGyNQYwwROQdr1Pc5VX0x0/0xGEYbqQaAhsFhBMpgMBjShBkAphcjUAaDwWDISvoMkrDj/K8AjqvqghTHBSs65h1Y6wduVtXNfbVbU1OjtbW1A+6wwZAtbNq06YSqjs90P8y9ZMh1erqX+hPF92vgR8Bvezh+GXCK/e9M4Kf2/3ultraWjRs39uPyBkN2krgdQ6Yw95Ih1+npXuozk4SqPgf0tv/JVcBv7awG64FKO4rFYDAYDIZBk451UFOBQ4739XbZkcSKInIrcCvAjBkz0nDpsUvgyS/zk863E219kxkcYemF19Kwbysn9r3ChNkLGH/a2zixfxsNr71A+fiZTDnjEnav+T1b2yvQmrncFvk9ZVd/O9MfwzAK+c+/vsqXr4qfDbjjz9v4xrtOH1R7L+49wdkn1XS9j0SVZl+QmtKCrrIDJzoQgZnVJYPrdBp5dlcD580Zn/R6qPzs2b3cdt5JaWkr3agqT2w/yqULbNskGoGtf6D+cD3TxhXD2Z8YVLsjmotPVe9V1aWqunT8+Iy77nMXVR4+Us07O//MZ+e3c8byK3n5qd8TaG+h9qKP0OHzseGvP6Pt0Damn/9hKBnHpkfuZdycs/jMWZXc1PJj/tgwEyKhTH8Swwhz73N7k8pe3HsiqaypIzjoa/xmXbK35oF/vpFUFokmB2g9ti1+XKuqPLXjWFzZtsMt3PLrDXFlu4+386bXH1c2lM8wFG66/58pXwP8/Nm9HG2J7+f6fY1JbWw6GL/faDSq3P1YfFKKYDjKrmNtcWUtvhCPv3o0rszrC/J0wnfY4gvx/O74370zGGHP8fj2VBV/KJLUvzgiIXy71rB13VOw6ddWWdsR/O1eHsi7CgLtvZ/fC+kQqMNY+6rEmIbZcXJ46TjB4Wg1J9/wLTjjA5w0czrvuunTnHvpSuZNKee8S65h5S2fZcU1H2H+1ArOftsFvPuDn2PJokW45l7GhPfdR0vhNGjan+lPYhhhDjT6ksqe3H4sqexnzyYL2c9TlP11y+Bv9WXfeCbuvary0v742QR/KEogHI0ra+oIUFWcH1fWHgihxAveL9bui3v/zcczn3Xot+sOEkz4PDfcuz7uvaomfa+t/hDlhfEOr2Otfl7YEy8yDe0BjrXGC2BDW4AjLZ1xZUdb/Rxs6ogrO+z1seFAvDAeaPTF90WVhjde5/kn/g8OvGCVHXwR79H96OQ6aD3SVa/FVcFQY8TTIVCrgA+IxTKspIlJ7j1DGmmtRwrLh9SEFJVDS/Ko1jB6iUaVFl+81ayqeH3BpLJU1seBxo6kss0JI/1UpFrKEopEaWwPxJV1hiIEwvGj9VZ/iMTTWzpDVBV74sra/WESn4adwfi2fromWWBHmnA0Sp5beq3TFggnWS0n2gPUlBXElbV0pv5uEr/vls5QklCkOtfrS1HW0oqe2ANHt1kFh17iyKZHOFIwC/Y/a5VphObSOajb+ZsozcGhy0ufLYjIA8A64FQRqReRD4nIbSJym13lUazU9HuAXwAfG3KvDL2iHY3gKRpSG6UlpbS19Bb7YkgnIjJdRFaLyA4R2S4iSXkQRWSFiLSIyBb735fS2Yc2f5hwNH703h4IE4zEl3WGIkkPSH8oQkcgviwUidLmDyfV8yQ8gNsDYUry3XFlXl+IygQrqKcHbiKtnWHKCuMFqi0QTqrXkaJsuIk63JahSBRXghYJEicW0RRuzoa2QNL3cKI9SE1JvEC1phSeYFJZKuFJJVpeXxA6m8BnPxe2/wXvxgchGoadf7PKwgG8NWegpRMB+8Op0hKItaZdZd6ga8gWVJ9BEqp6Yx/HFfjXIfbDMAAamr1MqBxakMm0CVXUN2zltDT1ydAnYeCzdrbrMmCTiDylqjsS6q1V1SuGowPNvmSryOtLFoBmX6qHV+pReDThyef1hZLcb15fiKqSRDEKUlnkSShL7otVFn+NNn+I0gR3V7s/nNQ/X7CPuZNhoLEjyDj7sza2xwdyAEiCYDX5gknW4Im2eMsSYhZUsqAn0t8yry8IkTCEA5BXAHueoWXDNlSKoeo1WHQD+E7QOuNi1F0KHZusEzVKc0Cg0Nma0uzXhJ/JFqg86/VgMRsW5iBHmtqZXF05pDYmVldzvM3fd0VDWlDVI7EF7KrahrUr69SR7IM3hYXS7Asml3UEk54pqVx+ia7BWHuJApWqrKUzREXCgznlSD+FgLb5w5QnWFDtqSyo4MhbUMfb/EywXXENbQEmlCcIFPEuzxPtgSQRO9GebAU1dwR7sDgT3Hk9WUvOwl1P0LLtUcsqevVPVpn3IN6p56NTl9DVgCpef8R626WsitefaC2BN1FTNYp3JFx8huyjqd1HVWXVkNqoKsmnOejuu6Ih7YhILdbeQi+lOHyWiGwVkcdEZH4vbdwqIhtFZGNDQ0O/rtvsS/HgSyEAqawqry+Y9DBMZVU1dwSpKokXj2ZfiMriZGsplQWVGOiQyu0XCEcpyIt/dLX5w3H1VBVfYOQtqDe9fiZXWOZFQ7uf8Q7xUVVEJK6fJ9qSrawT7QGKPPH3ZmsKUU5tLSVYknuexrvjGfSVB+HIK1bZ4c20Tl0Bs5aDRmOdo8UfsYUoXqDiUMUb0ITfSfEGYnNr3W6/5qAryWIcKEagcpDmgDCurHhIbYwryacpZLYDG2lEpBT4E/BpVW1NOLwZmKmqi7A2wkvcHK+LwSzZaPGFkh58Xl+QPHf8Y6DZF0zpipKEwuYUo/XmFC6+5o5kC8rrC1GRQqAESSor9PQ9kGrzh+MemoFwNGm+bSTYfbyNUyaWAXC8NcB4R2BDS2fyZ04V/NDUkez2SyXK3kSBOraD1r0vwfa/wHE7YvGN9bRNOgsmL4Jwt8fEGgxIt7WEJVAKKco0rqzZr/G/u0YJRsCT8HfUGZGksoFiBCoHaQq6k3z6A6W80EOLEagRRUQ8WOL0O1X9c+JxVW1V1Xb79aOAR0RqEusNluYU8x1eX7Il4/UFkx6kzR1ByhLmfZp9waQHUJMvmPS3meq6LZ0pgiR8yXNLbf4wpQXJf6eJlltiUEdiBN9I0REIdw0CEt13x1O4/Kw68d+DQvJkVSK+JoLH96K7noCQHUK+9QEiE+ajE+aB32uViZuo2tKt3YId7Zoy6raWrOj3eAuqM5Qg8gqdXZ7TbmtJHC7ArrKu4cbgzSgjUDlIazgvaU3EQHG5ZAhTl4aBYidV/iWwU1W/20OdSXY9ROStWPdn8irOQdLSGaI8hdWSKEbeFC65VELW4ksO9/Z2JAc/tHaGk65rReIlBDoEwpQkiFFUFVdCKJxI6tB1Z5EvFBnxv+9QJEqey+V4r3EC3tAW6JqfitHqT45ITEIVOr1wbAeE7Xm/574D+cWQXwpBe22bpwjJy499QV2niwiIK84Kso/EzTd16YijXqJLEo1aZfEdTPFdKzpE9x4YgcpRNMndYsh6zgHeD1zgCCN/R8KSjZXAqyKyFfghcIOmcT+cqIIr4e8mHFXcCQIQimrcgzZWlmgttaUQlFT1oqpJ101VppAUlp2KRDcg2M9kx3tfIJzkfhxuNh5oZsnMnueGG9osl19ivxI/jaBIZxPEXJR//yziPQAdx8DfYpUVlCKlE1Fx4xQcwf4iNN7ysa7pFK0ECwrr97DcflHnSUlilNSeFUWRIGTp+fKNj8dgGAFU9Xn68HWo6o+wdg7IGRLHSUMdNqVLVBJDzEdi37sX9pzgUxedkpSmKMbxNj8TywtT2htdrP0u7C+HzmboqIWySVAyHgrq4M3NpAzZ1gThcQY6dMmQ06qSbkeew4KybffuczVK1y8a+6G76sV1wPE6Vs9x7hAwFlROYqwnw/AxkL+uTOx3msp5YLmiujvjC0bIdwQVpLIU04k/FMHl6j0ooD0QoSTfYRMceMHKxvDqn6DdjsQMB9BZy6FyRu8uOaTbCtLEYJBEF1/sVSq3XzTuWGKQhCvmLtREwYsLmezqj6MQklyBA8cIlMFgSCLb5yedwhgMR/EkiE9nKEyxI3tFqig4wgF48R54Iz4X3mB4/NWjXDJvYnwfEzosbUeQ1/6ONu63yvathtrlMO4kiCakoHJaMj20as0FuRxlmvxfdVhAthg5p51i9SLRKC5xxV1Xo5o0WolEoo45QbHrRZOCJDQaTcsw2ghUTpLGx0cmhsCGjJHuX3ukp0LDkSh5LokbwbcHrICLuDmoYCROoHzBMMVO6yUahWe+AnOvgN1PQkdyRvf+oqpsf7OFBVMrEg9AxF7B+uI94G9BxtWibXaqUnFbX6CQZMnYK3rtZmKWSLfIRNX+7h31/BGxRbjbgvJFXLbV1l3WERFKCtxx57YGhYqivO5+A50RKPa4477X1oBSUeCKe2y0hZSygngp8YWiFOd1SVg/vsXUGIHKQdL2THB7IJSc3dpgyFYnckyM4spikXDOKL5AhCJPXtz7LsFShdVfg7r3wLhZ1l5F63/afbK/Bdb+Nzzz1e71RL2wauubXHRavPUU2fkorv2ruzN+hzqhZo6dQzPxgd0tHjGjxTFLRGdErL47ovPaw0JZQZ5tIdkiE86jqjg/zu3XEnJTWeyJs6qaQ26rniPMzhsUqoo9cUES3qDLOtfRXW9QqSpyx7Xn9SuVhQnr6zojVBYM/a/IBEnkJOl5fLjceUQDHbjyM7/Jm2F4CUeiuEXicufFyiKOskjUmndw1otGtV9/cSHbugk7EqAGw1E8biEU6S5LHSKefI3YuUHHuW1+K2Tduc6pLRBKEq22BCHrsqjCAXj6LivX3MT5+IJhfvvPJnyHT6X4z08iwTbCbQ1Epl1IxF0If/snWvg6MsHOWhkJooc2IJEglNQQnjCfcSUFXFVnZ63a/RS0uPCzjaK5K/HtimX8joJYUXbxLjZwBiZ0RFyUFuTR7qjQGnZTUeHBWu1klbWE8qgoz6fNYQW1hNxUFHlocrTXEnZRUeSh2SGC3qDHWqgf7Ogqaw66qKrKp6m9+3ttDghV4/JxJrRqtsXImSTNG4TKIjf1HbHPAs2dYSoLhTcZGkagco00ro4vyffQ0dFGWdmEtLVpyE6shbGeuJx6rf4wFUV5NDlSG1nrovLiUiDFRKHVkbnAH4pQkOci5MiEHrvGifbua3g7g1QU58clQI2JhTPSrj1gLch15tSLrdFqcLTX5reEx3lui52VIs7t508QqGN7KfYfg44GGD8XJi9CVfnvJ3fx0eWzGf+2Wjq3rYLKmbinXU2ey4VLQGQu7HwE6v8XiqutTN/X3wblk2Htf6MLz0IqplgX2fJ7aDsKvukEyix3W7x/wg4ksEUhEIVCj4uAo6wtlEdZRR7tOC0jF+WFHo46RKYlnEdFkYc2h8XTEnJTUeyhyTHf1Bx0U1mcjxVX6LCgSvJp8jqELGgJWWNbZ7eQhVxUleRz1CFaLQEYV+rmTccgo9mvVJXngWM3lha/bUGFrM89WIyLL8eIBn3gSs+4oqTQQ0dH8h4/htFHqnx4zXbWB+fjw5siE4S3h8zjyYt5UyQ0tRf4ap/npk59lLjAt80foqwgvqyxI0h1Qj67iCoutR+su5/Cd2AjJRK0Hr5iPfbW7Wtk2exqJpQXIm43xXXXUFy7lII8N26XdE/8n3YFrLgDFr8fLv6yJU4Ab/kIsvE+6/WOVYDAwusACEaFglQpmqR7/qwt7LYX6XYLRVvYRVmhxwoVt0WmNeSmvCg2odNtLVnfa/e53liZI/jBG7KsJWeYeXMwj3HF+TjXS3mDQlWsHg6rKuYytGkOKJVdLj7r+/EGoDI2fxU7tzNCVfxPMiiMQOUYnZ0dFKdI/TIYSosKaO/o7LuiIedp6UwWj1Si4B1QZonk9pLqDUCMErObt/otgXIKaMyac3oJmzqC1JTmd5e98APY9yzsetx6H2jDN2ExxR774WsLz+rXjnPh3H56DzxFUDwuvqywHCYthMf+HXyNUHcjMbEJRF3JUYNgCVQ0No/kpix2L9tCYYlWfLCClTnGFjKHO8/6XuPLKoo9cauWm0Jue/sPh0DZc1DOOS2vLUbO63qD7q6tQ2I0B6CqKP75YwlUwhxUIEploVkHNebo6GhPr0B1miCJsUBzR4q0RCm2wUhV1pzCMorl14ubQO9JtIrirTTLdRdfrzWFMMZcfM4RfFsgZFkTXZXqad67gcpt91t9UYVgBzL7PCiMRdUpHSGlJC/atWZn/4kOZtWUJqVRGjDzr4ZL74alH7Te2w/9QJS4dVjxdAtUaUFenFBYFlReXJCEZUHFxCjmznM5vq+Y8FiWkcZZRnaZo15MyJyWVsyN6Ayw8AbdVBTnx/3GbUGlvNAdb6UFoCJhDjBdQRJGoHIMX4eP0oI+cnf1k9KiIjp8Zk+osYC3s58WT09bY6SygvplLQVTtJecjDaV5ZZKtNq9jZQdeAqN2HNVz30HrZiBK7bDtO3CS1yD1NQZpcoTJmZBPbrtCJefPpm0EBdrb70ORl0U5DmtCsuxJwliZCXH7T6/NWS7/Zwh4GG3lXvT6eILu6ksinfdxVyGTjddUC2hdNaLgh2q332NaBRcbjtE3T43pJCflLYKXBJfFlEcGfHtzx/RXgS6/xiByjE6On0UF6bBuQuUlBTT1mkEaizg9QWpTNqnKZVllCxkqbfLsMqcz2avL5gkWqnErd9lviAVoYbucLfH/p3W+h2UNW9HY8sjSidAURXdMzuWhRSHKm3BKCV5EdAoios2fzipr2lBrIWzgUi8iy+i2EEXjlBxO2Iv1kdwiFGCaHVbULH1TW6KutZ5OT55wtqoeGL1nOmLUtRzpj9yuZNqJGbt6BEZuryYKL4co6PTT0maBKq0uJh2f/KuqIbRR6s/3D3fYdOWsiw5ZLulM5yUPT+VtdQeSH2N0oL4RbQ9zkE5y174AS07iik/9CIU/6tVVlhJcNISCsr90Bz/gOzO5qMOi8aZ3SCWSFXZ2+ri1EmlDAv2/E8gKnEWRGfETXGBG7RbStu75pucQRIOK0i7LZnEFErSdSlnWiM7T57GC093SqSEMu0+V1AkIZNErGKcGGksg0WsF3RbrRrpPldTDBQGgbGgcoyOTj/FRUVpaauktIzOQPKunIbRSWIGfIWkORjV5LKIatKmhr5gJGnzQ9Xka6S6bmKWB7b+Ad/rqyn6v/d1lwV9hGrPI//kFQk9JiF1eXfb1oPUsl7y3Y5rJoz21x7L45yT07bNVgLWdRODJHwRF8X5eXHWR1vItqAcmST8UReFHldCdglH244M45aUSLzwIAkWlEOsHe0JMRdfd/ojiWWwqbbMiwAAIABJREFU13iBiieV8GiKeimqDQIjUDmGzx+gpKgwLW2VFJfErTsxGAZC0l5BvdWNvdjzNHLweeSvH+8+2LQPZi1HpixKcaIz11z3dZ1lsUd27IF7IpRn72SrcTWsl0qT38WEsvTcQ8n9jUXxETcH1RF2WemFHBZKe8TdPQeVsAdTfIog6f6fIyVS0iaB3UeSxC3eMtK4I93/jxetro/j/Hgo4or97hp3JClZbKw9k+po7NARCFJSPLTt3mMUFhXjT9wx02BIFyf2oEe2whN3dpftehKdcRZUTHNUTDXUdlhLCfWcVkg4Cm6R7nqqHA944rZaj2VxiLU7vPkDY1F8Lgo83Y/XDqcFZYeZB+ICKZJmelLMIyXPGWnc5oSODOcJLj6rKNHtl2B9iSRt1ZH0VdkTXYmSmOxWJbVVNUCMQOUYvkCIkpL0+M/FZX7+scbgx7Kp6XoGBTvAexC2PdR98PnvQuVMcKbSKqoESbGAtecrJD+oxdUlUM0hN+NKPA6vltIQ8MRZSJFIt7URjkToZUeMoSPdLj5nBFwsaWvK3YATRKabXgIY4mqmFrdQJEqeRB21lUA4Qn6CpWOlvIqJjHWuM71V7JJWKqt4F18kqrgS3H5W2iprXkqSPtPAME+oHKMjEKa4JH2589L9wDKMAVSthKrHtlvvfU2w6pOWpXJka3e9iumWIMU9oFK7paxD8Q8ySSiLPSidO+o2BfMYV1KA2PNPqNIQzKOmtKDrWs1BqC62gjeOtoWYlB4HRGpsC8TKJOGwoMJ2kEScyzKVq83RTuJ+UHbb6ghAiLnk/KEIBa6ow8ZSvL4QVZ6INd9kK7jXF6IyP2zXsK7R6g9TkReOs77a/GHKPRE7IMIq9fpCVHqitovP6kNrZ4gKT7yF2uoPU+aBoQhTDCNQOUYgFCG/0CR3NQyOXpxpPRONQNsx67W/FR7+KDTvt3LPgZWAtfYcqJoFnlRP/76ukHy8O9N29yO3IyKUFsQHGjQG86gudYbAK42B+LKGTmG8HWLfGohQkZ4g2B6wLahI/DqojpgFRQoLKsWcUexzdwYjFLocx1Rp7QxTkRexBcUFqtbCaU/YthTFFqMglZ5It9ZplGZfkHGxMgGwzq20hSx2rtVe/K7ELZ1BKgrid8pt9gWpyo/GhZS3+EJWFgnj4huDaBTJy++7Xj8ZVne8ISsIhCPxUW2k3uQvFIlau87GHqBN+4k8dgeuQ+ut7ScAQp3otLfC5DrIL+l68IWjQl5ieyrW/JCDrn2MHH95oShWXxwP7lhGBWvXV6v8RCCPmjIrbU+cQJXkxz2Ew8R2trXqNPiF8aWWQLX5I5R7hvGvviuThMRF8cVCyuMjGiX+nHCEfHGKUZQmX5Dq/Eh3fY3S2BGgOj+MM0iiuSPUJSgxK6jZF2Jc7Fzb+mruCFHpCTnas4Us33GuOkWr+2dp9oWo8kSRLjFSa4G1J4VoFVjtD9VD0y+BEpFLReR1EdkjIrenOH6ziDSIyBb734eH2C+DYVTSj3upQET+aB9/SURqh3rNFl8oOYmrYx2TALQeoeXxr1F56GlYc7dVqfUwbTPfTvncFVBUZZ+p+CNih5h3PyBbwnYeOMcjqTXs7rpGrLQ1LkWPRXPIQ2VCzremmGXkeKBbYlSAOITQcvE56qVYf9McoKsfrf4IZcNuQVkuPuccVJfg0tMiV9slF3O/2aLV1B6kKkFkmjqCjMuPF5mWzhCV+RFH6HmUpo4glZ5wXDi6ZfHErCWsMlvcugIn7L5UesIJC7HtaziiN72+IFUFkbggCW9nyEpzNBIWlIi4gR8DlwHzgBtFZF6Kqn9U1Tr7331D7pkhJUMfk8Rj5qBGjn7eSx8CmlX1ZOB7wDeHet1mX6grE4QCeN/A++xPqdz3CLzwQ7vSfryTzqZy8VXdJ6rSHIQqZwYKjdrJRm1xi81tBJOFxxt0JDSN9SWUnIC0ybaCnDQG3YwrseaRYmefsPcxcj7km0PWdhLxmSTi6QzTteHf/2/v3IPkuqv8/jn9nvdDGuttyZYl/JRsLNvCNmGxeRgChmIheDfsrnmUgzcU4Y/NbgiV1NZWJZWtTaVSFZIC74aEAMsjLCxm14DtwMLaIGMJkPFLRrJlS7JsPWa6Z/p5u/ue/HHv7b6v0fTM9Gi65d+nSprpX//uo+/0/X3vOb/zO2eu1mBkRS0oZ0i1kcB6smLDrWwbm4XBEY+zRb+1BKBMly0mM76lIKqcLVlty8jtV6i03Xl+y2gyZGm15qVaVqxjBTlpoNrH8FyGzlbO/zNli/FM0Fry5qWCbRbjWX+QxNLpxIK6ETisqs+rqgV8DXjPAtsYDIYondxL7wG+6P7+TeB2iVv92inlafK/+DbjT38ZjvzQaTvyI/Jb38r4jR90ou/AeQqvESqroU611IGghZJvZdJuT+Ln3bpDfvJuAT1oP1hN19ORftNe1my/tVR3Rcs/Se/WMRLffIcNTmkM1Xay2FDIc7nhlS4X5qpNhjMrOLMRCG5oo55gufM+3qJif4/pUnvex8t6MV2qscbvknP7rfFbVWq7QuF38cF0QGTaltZYOujOy5ctxkJi5FhzNv4CiwXPxZfw/ibiPPxkmoG/3Uyp7eJbLp38pTYBx3yvj7ttYX5bRJ4QkW+KyJa4HYnIPSKyX0T2nz59egmna+j2rJGZgzqvdHIvtfqoagMoAGvCO+r4Xjr0ADND2x3LqHC8Ffs1UxXXqmqLjN8V5jTZ5C1COetixEiVQl1ccWt/owqudePP/DBjJZ1aRL71NtMxVtXZWrod6OAvJzGQ9kWRQfQbHGdBCTk3c4XVVLKplfzWnzuw2gvwmK02GE0125uotuaW2jtwrKqJkAXluPi8NtdaqjhzS600RKrU6ja5ZGv3oEql3iSX0HabiJPyKmUHrK/Zap2RlN9KE4q1hpMR3idac9U6IylfkES9TOGlJxk9cr9TjmSZdOtR4rvANlXdBTxE+wkwgKrep6p7VHXP1NRUlw792sK45AywiHtJlQJDTkE5XxLQfLUZdMmpkq/RrhMUbvNvayVCefji2iBfT/lEyxOjlOsybFsarXkk2hFuLdGS4GLXoUz8wlZHAxWr0aQd3e30sWzIJh13U71p+95fAeZLwNp62/ncZ4o1pgLBD8pMzNzSXLXBaKoVXw9qYzVssomg9VW2HOHxdZz3vER876kvyzqBZje5LQTT8NrtvnYdu3CSxMsHIOH+XV73TprZMVL/9D/DuqvOdaU6opM/1QnAbxFtdttaqOpZVfVqOv8VcP2yz8xw3ugoM7GhGyx4L/n7iEgKGAPOLv2Q6lQ3HUjhT5OTrzTdyrmeGNlOXZ+w8FSjbr+ZVnG79rYzVtLNgt7+LuVbhfHchbWqTjXXkDsvTsha5SpCA75Ia9QM4A2apWqD4VCSci/PnIrQsJVUKKKxq7hRhxoRKZ94KJyZq7Em67OCWhFxQfcb+C+V0y8w1yb+ftLuH0pX5O2v5fyMZIPAdedF12a1mqwynDncznA+uhGsOXjrn8HAhNNv6xtgZD0kfUmDsyOxl6oTOhGox4EdInKJiGSAu4D7/R1ExF9Y5U7gmSWfkeGcdPvWyiVsk+7o/LHgveS+/gP39/cDP9TlPEGoUq4rA5kUrUFNlaJl+6wRAGXOUicbuc9aKlgaLLseFxChylxdIlnQZ71s3a05etspE5EO5qRrqjjJaAOT6sEBvfV762d0sauqUrSaDKVixEGcWkdN246EvneXc+/bcfHZnC1ZrPW781SxFZIhMYrsO9QUyT7e6te+Pv4gCVfKYpdOi+8XVRtqxXanZApOPQ27PgBDU87ub/gYsnanU/LkXNz8iXO/fw4WLLehqg0R+QTwAyAJfEFVnxKRPwP2q+r9wCdF5E6gAUwDdy/5jAznleEMlCoVBjIrVH7A0KLDe+l/Al8SkcM499Jdyzuos8pfEonAoIVI0K2jMW0otoqzNqrl9rOp2UIuncSZ7Pd6yjkyo7u5s1VBPCuI2HG15YZqtcW5q2ISyOLkuCtWm4ykg/NT0urhnL8kFpNqaZFI4GiAlw7I/77j4rshEwx+CJxzbCYJIv2ct+PD1kMnFukXfOmzlqZfgLOPwhtvbYvWP/nXUHsONu1E6s3QVr6PtsBZLJaO6kGp6gPAA6G2f+/7/dPAp5d5LoYFcPJjddcdN5hJUyrOsXbMCNT5oIN7qQp8oItHdH/6BsEYN07sUKLeduHGUFtgfxJt8ydqbbXFpfyJWgjzzqeoYzEFDA6UktWIWFDqRfZ5g/6KW1DB4zvBD+3oPFVCgQ4sWWTihCyYBFba70TcfgonD6LFKbh2qn3m7/s88tBzcPlOpOEv0eE/s3PMs837zuIxBQv7iEq9yUCyu+64oVyaUrnU1X0aeghv4ao7kKm/LdQvWGkV1/oKVnz1rCAPaT3Vx4mWzyXnzkGpvy2M+FczeeeS8I3TQbEtWU2GU3Z7W1Xmqk3G0mHhC5wYK5pAx3+d3eOdmq0xla27bzuf0XHn+a2gmPs6TrTUDl0551pEr2aMuB16AJmtwO7JdvPvfg0eeg5u3AnN+LFlsR7mmMeVJWMEqo8oWQ0Guy5QGcrlclf3aeghWqUmgs+/0X4xIjPvU3JIZNT2bep3I3rdEq7whKyqSKh41EKId/E5/QuVeitU21s3VLIabAoFSQjaugYaEtiuIwksWxj2hWifnqtxUTYYFh6cBIrOqakItu1fUEt7bsjXz/k16h6sH32M9NkqXD3utA2MYd3+P0g/dgpu2tE6fLXebKVk8jJEWA2bdLIdcKHq9Mu0+jltTkSkBE6jaWtX5/iMQPURpYrFcHpxTzMLMZjLUaxUurpPQw8iifbTd2gxa8tmCaQLYp4n+A7Fzd/mhZEF6jLFzy3FBkngPcUHhWzWJ1DefktWk6FIFJ8bJBFawLsiiFBsJFiftVrHOjVXZYf7upXoNnAKgm2HLSMo1dWpuOvzBFbr6sz/teb+wDp1mPSradjgdswOU7jyI4y+MgZ7L20do2DnAsEtqk4mCC/LiHf8fMWKLrr29fO3hZcWFCp1xga6JysmWWwfUSoWGcqmF+64CIYGc5TK1a7u09A7OMXxfPMvTmtMx/ksqDi3ny8qTOfZX2CWQhBR1PalxBG/8NBqUzQ2qCDg3nbnr2YrdUZbmRecfc3V/GHmMbFqGsy8vRKUmsm26xE4U/RH7InvyrQ/e6FmB9JCCcJczQ5FRgqFSpWxyvF2BpChKQrNDGMbd8Lt/87tlqQwuoOxoWDSwUKlzlhIZGbKVkBkFA0Ij/cY4YiW1+ZZsFZgfyJumiNf23Ifp41A9RHFconhge5lMgcYGhikVDUCdaFSaSgDocWt1YYGKrkKYDXbbh2vZ9PLbu5DY+ZKmk2bdu1LcduatDZ1XUdlq8FgKigyxVrD5w5zLC2/8HjWUqFSZyxkLQWzMQioTdmyGQo9wPtdfLLiQRJOYli/QFkNJ6ODc5oxufhEyFftoDUiwmzNdj+f2z83SuH5A4xKBd70x0637AiFS+5gfE0w1DtfrkdyIxYqVmBNmyMoPjFyn2FmSlbbqnKv1Uwp3E/dHI+hxL8xVtVyMALVR5TKZQZzuYU7LoKhoUHKVWvhjoa+JG+Js0jXN3lfsITxweAonq8qYzl3OPDmeGrKmDeyuoNqybIDC2FF3BpLvjKtIjBXqTOa9lVzVS/jtr+NGOFx0ux4C1Y9a2e20mA0HVzYWqy5aXYAcee5mrbtW4irvv/9bSsrUMWAQEXFaK6eYDS0ZqxYsxn2e0dSWWaf+REjR38Au92VBgOTFHZ9lLHt10NurLX3OFfbbCWawT6uX75sRVx3YZFR9cQtE2jLl+uBNnD7+a0qlocRqD6iWC4zPNBdgRocHKJYrS/c0dCXzFjicx1pq20i/HRtKRO59nAgQL6mjOeCQ8RMpcF41t8L8oE2x+2Xr1htMZIEIl6mBHfAdsWoUKmHhCdOtAgkOfXmtIrVtvXlPf235pv8nNcwc6f201CyMe/7+Zq41k07UnHumYcZeeqvYevNTtvweuauv5fRG+6CyUtb2zpzPGGRiROK+H6RUif+OSj3uvhFy/krudbSkK88C1H3IDiWVtiqWg4mSKKPKFVqDE0MdHWf2dwQtboRqAuVgpXwJWy1XeHx581zgiRmqsp4yFrK15TxgeCi1kKl6RMjh3y1yVg2OOi3yzDQEpR8uc6Y34LCy67tE7JWWzDqrVCpsz4V3Hau1vBZKv6gi/a5NJo2KfFEy+uzsgJVsxMMJMOzL64dJ8Jc4Sxrjz4IF7nD7+gm5nbey6Y1o7BprLXFbLXO9qng+sRCpc7OdcG2fKXOznXBdEL5shVKUeXWAAtZQXEik68E3XnO/oJBEoqb3Xwobk6re9MQxoLqI8rVGkOD3S33LtkhaBqBulBpWUu+yrT5eiLq/qlGxShfoy1a3lxEpcFENuhCy1eaToE6/7YVi7FMUDAKZYvxjM+Ccueb/NaSqoasJedHsM0Ztqp1m2zCc/E5mSTa803OxuV6k8Fks72j82BB1W0h5Z+T0yZUZ51XmUGKI5cyfPmbnewMgCQSFONSRVUakbZ4y8gK5VB05+cGwm31yP5qDdvNCtKmYjXddFQOXpi518+ztIq1RihdFk5m9KyJ4ntNUqpZDA11V6BIDyG2EagLlba11LYw8pZfoNTnzgsLVIxoVWPEqGozkQuGcBfKvvkmT3iqDZ9AOUNPvuwTHr+LL9AWI1rhRKriOaPa+wGoWk1yCTfy0ImxX/EovrrSLt3eqMHRR+Hq9zmvEymKY69jaHSi1V/VLVuRCwpKJ22CIxRhUWjaGhPgQiAdVeuSxNBOPCvhFWyty6++fq1jQCTl1XIwLr4+wm40SGa7LFDJlMlmfgGTrycY8woOqjcHlYiuaanRFiPPWqriBFhA2/qqNBkfCQtUk/FQxSqn4F0w84MzBxJsC7jzAgtwfdF+ajNXrTOcCs5V+X9vRccFLCSnDMWgV8OotRB4hS2oeoNU0r2Wl93u/Nyys3W2xVrDWd/kI66t3tTW4lgPWwkIjxflv1RRmC/XxsLbnZ8xw1hQ/UTTgkyXBcpwQXP5SJVcJoXfgqo0JeLWKdVhKFQoaa6ujGTDVpXti9hzwsdnazYjmbYoABSqdUZ97jwBynWblkHmX1ibDEb7OYX2NNBP1ZfpOya7hFcqQiBgIc1VG4wk2xVfJf9SVwrpnYtGeoT0LfcCTvh+WGTmqg2GQ642K0aM4lhZae3smOfykMa99fkfH1nysY0F1U8065Ae7PpuV+NLbzg/3H5RsT2ieGuYVJ3s5oD311e0neXbtZYcl1Bw0HSe6oPfGNtWksmgkDVtJeU91XuCoor4n/RDdYwcIQs/mUfFyJWjYKu0P4f/Gz1XrTNCydlmYhs6sa0rhfTOhaUJ0u71qFhNpobbUSUiUKzVGeriPE036dS+nM/pEtdctpoxrZ3Rm1fJEI9dNxaUYZEEM0n4szsEu0WDBwLzOYE0SMF5jPC8TytTdiS1kG/+Z54ce+29hyyowLkkUG0G+3l59pTA55h97Mts2bwNEkl0oD3vs5LUmzZpV8RrjaZvobQjraVak6HMwkNvrzrew/NOK4kRqD5CVdullbu53569FQzLJpDax59WKKYtIlrE+HM0sq1qUIy0NaveFjeNCGDcICcxj+YxbXEuvoSgJ59ATk/Ddbudxm1vZG5igNFL17RdfDFH7TaNppJOOtdIlUBEHMQHMKwGnebN7XR0WImpbDMHZTBcyHgi45o6LavDJxYabvMFGQTCsz1in6DPJWQxId6+sPewtRTM4B0tTggCdhPyL4K4g//WW8hnNzB29dvbi11x53tcd5p9noSh4XNvihCY71uM8RHXtaMABtXIceqhVFYQH5hRrjUYyobDzqPh5LWG3cqC7tGwg9nNAWxVEsuwuIxA9RErdWut/rOcYeXwRMZndfitG5d4+2K+NUNBa0kIPooHQ7/BW4Ab2DbWool3+wGI3Wi/N7YJCsedvIC3fNJ5f+JiziTWsnY0mGlltlpvrQcqWQ0GMytYTTdw2u1PNhA6ph0pOhi/j07FKCwAs9UGo7no4tuFEsV6/cJZKWZiMpkXKjHbluuMhxbuzlbqjC4ju7kRqD5ipRxxKXGesAwXIP5SE2pHrSUvN7U/RZA7VyVxLr7Yha5Rt1/Y4nIi7MLzUqF1S948mf+Lnh2BU8+gxx6Dq9/vtE1eSmXzLQytuwzS7cwqZ4oWa4eDA6Q/LLvR1FUITpCAiy/WKurwxo6zWuaqjYgAzJQtJsMZHkoWk2GRiS2hES884YXATkqj0LaVeiR7hT8rxVIwc1B9Qq3RbK2a7zbj6Qb5cp2pkezCnQ2LRkT+Ang3YAFHgA+raj6m31FgDmgCDVXds+yD+wsWqlKtN5lM2gGRqTVsRhJB4WnaNlnxufg8kfG733AXZhJqaxlLbTGyVckkCARJOJkffEgS+9jjZNMpuG2v07b+GiqXJFkznIWp7a2uZ+ZqgfQ+Apwp1gIRc2FEOO8CJRKagxI6cnnVGnZEeAqVOptCqc6mSxa7t4wF2uIyis+UrZjM41Yrv55/23D6oviEsnFCNl/i2aWnPjIWVJ8QXF3fXSYzTWbKJqP5CvIQcLWq7gKeAz59jr5vVtVruyJOHt4cFM6T9Hjge6SOuyYbfIyfrTScTBD+iLhqg5EMgTmquWqd0YwE+pVqDUayXu47p/9ctclozteGMPvys4we+2E7GequD5JffwvjV78Vtr+5tb+zpahFcLpYC1hLIk7l2jXnEihgOHt+XHx+BjLBYTYsknGh3YVKNItEvhy1ghxrKfiZZ2KuVz5GKJyF09H9hYUszgoK5/VrHyPULyYn4GIwAtUnFMr10MDSPSbSdaZLRqBWClV9UFW9NAj7gM2rdS5z1QbjmeD3aKbkJnb1BUnMlC03sWs7wKFQqTt5+HxilC/XGc+BX3gatlumwxckYc+dYuyVn7XKRPC6dzAzeAkTu98Fuz/otKUyTq6/GPfUmlDb2aLF2pAYzYQGQ3XP289gB+Hd3UQIBUkgEZGs1puRubF8nFDE1F+ajnHdTZfiLZ6otRQ9RiFGtOLcfnH7azQ10q9Ya0TOZTEYgeoTZlZQoCZzCWbmSiuyb0OEjwDfm+c9BR4UkQMick/3D63YqpHvUb1pM5H1iRGOFeRYUO0holCpu5nM/QJlMR6wqoB6mfH8U5B0B6utNyOpDOPX3AFXvddpG1rLTCMTEaO4AXeu2ohYBGeKtYBACUJCJJDyR1VDueckErW2EmwYawdqRFx8RC2oar0ZsZZmq9E5nqZq/PUaDl+vqJuuVGtG9ldvaiTxbMlqRERmrtqIt5ZiiqeGjyEiyxIoMwfVJ7wyM8eVgysTJjE5PsaBmRng4hXZ/2sBEXkYWB/z1mdU9Ttun88ADeAr8+zmVlU9ISIXAQ+JyLOq+pN5jncPcA/AxRcv7u82kfbXKhJEcEpe+BbjiggT6aCLz1Z1EsVKe9uGbTPeOA1sdJo234Acfp7x67bBruudtslLkPESo2PBhbJWoxkZDJt2dBAGWBNyY9UaNmtCA3N0wj9amuJ8zEE9+ie3BV4HFuoKkTRHArHXIS64IPwZK/VmRNAzqWQkLHwom4yktxrNpUglE6G2dGsNV3vbVCQNUyaZiEQnZlKJiCWYSkSztC8GI1B9wqtnp7ltYmThjktgYs1apg9F5uwNi0BV33Ku90XkbuBdwO06T3ZeVT3h/jwlIt8GbgRiBUpV7wPuA9izZ885nlyiIc3jqXAxPWEiZC0BriswGBY+nrIAd0DMjiDTLzB+5QBsvsFp2/EWePYpxrdcDMng8NLJgIsQsZZEiBGj4EAqAmtDQT5N1UjgT3jgXgkCVhtCLhWM4huOcTOGLRmIsUaIXsPBdDIiFJND6Ui2hzgrJi54Ib5f9NzGh2LaBqPHHR1ILyu7uXHx9QnFuVmGJ+Me0JdPemQd9apx8a0UInIH8MfAnapanqfPkIiMeL8DbwOe7PKZIEgo2MYRsIAYub8FgiRUkbOHmZg9BBvcTA03fwJZs53xXe+EtM+thUTCkkUkMggL8e6f8ICYSycjT+bh+SeBSIg5wNRI0N12vqP4culEZICOWFDzXJvwdRjOpiJWUNi9B/EiE9cWfhCAeDEKW2iL2d9yq+t2JFAicoeIHBKRwyLyb2Lez4rI1933HxORbcs6K0MErRVhZGUEiuEpsGLHTUN3+CwwguO2+5WIfA5ARDaKyANun3XAIyJyEPg58Peq+v3lHzo4OA5mk+1M4S65dIIBf5j52cOkpp9jpHwcvPx1b/40ibU7GH3TH8LAeHvv4riKAkcUYucnwoNwKhl1/4zmUmRTUTEKP5nHLYkIh5gLcJGvX1LkvC3U9bh8fTBzuojEimT42uTSicjcVZzrMxzB57R1KB6xgtKZpdWp9RV33MWw4OOEiCSB/w68FTgOPC4i96vq075uHwVmVPUyEbkL+HPgg8s6M0OQ2hyMblqZfQ+vA6u4Mvs2oKqXzdP+MvBO9/fngd1dP/g1H/Af0RlE/IP9zFEmZp5AzhyCa9yieu/7S8a/9SRy+z8P7Gp0IB07ZxFuu3LDaGTO4rKLhiNzG+ODmYh10ekgF7agiHEDQlDIdm8ZP6+JTgF++/pgwKYIsYEaYYtzYigTOde46xCObvS2jbbFuRBj2jq0giZj2m69bG2kzW/BLoVO7N0bgcPuDYSIfA14D+AXqPcAf+r+/k3gsyIi8/naF2KuWuc7/7APXn0SLt4LrzwJyQxMXgLHD8Cm18P0ESeEdP0uePERx+0wexKsOdhwHbz0U5i63BnYS6cdH/lL+5x9qA35l2DLXuT4Phhej2SGSJ59juS2W9AT+0kNjtMcnEJPPkH60ltonDhINpPBHt+GffwA2e23Uj71PDm7QmPLGT5EAAAJk0lEQVTN5VhH95HbtofqqcMMJJroul1UjjxCbusN1M4cZTRRo7n5JoqHfsTQxddRfvU35FJCamon1aOPMbLzjRRf2M+OTRdx1koyXDlBc+oqEid/ycn0FgbOPAFDK6T5qSwbqkf4yje/yRWDBY6nL+ESjnOoPMKOdWPMHH8WvfQ2Ro9+n5OTe5jUAq+ePo1s2EXm2KPMTN1AtngM6hVyG68mfewR8hfdxEDxJerVMrJxF7ljj1Kcuo6clmjOnKC+cQ+5l35Mde3VpKwClM5Q33gj6WOPUJ/ciTQtkrPHaF58M4kXH0VHN6PJDDJ9BN16C3rscRhcQ3JoEnn117DtVjjxC0gPouNb4cR+dPONcOYQKklYdw0c/QlsvB7NvwT1Mmy81ql2etFVUJ2B8lnYvAd9cR/Nye28/U1vjA6E/cZanzZOP88/G/wxzJ5ot739P7Lr6TLccHe7LZGYd44hTNzgFR6UAT60d2tH28atY/rwLdsibbddcVHg9dRwNnKMS6eGAy6xd+/eGNnP+WZsIE0mJNSphETmpeKE+uNv2h5pixOty9dH56p3bR6PtF27Jdq2ObQQGOJFK86CesuV6yJtn7p9R6RtMchCGiIi7wfuUNWPua9/D7hJVT/h6/Ok2+e4+/qI2+fMfPvds2eP7t+/P/a9RinP9M++BK//ffjZZ+HKO6FehRf/EfZ8DA5+FTa+HhIpePbv4KZ74YmvwUVXwPjFcPBrsPdfwuGHIDMM66+B/V+AvR+Hw/8PJAnbfwv2fQ72fBQ99QxaPEVzx9tp7vs8svsuGqcPk8q/ALvvor7vPtJXvINKpULi5QMkrr0L67H/xeDF11JNDpF66REyN32M6i+/QXbzbqp2CjnyEANvuIfKL79BduNVFDWHHHmYkb13Uzr4twxsfT21OjRe/Cm5Pb/H7KN/xdDuO/nN8y+wNl0jn9tM+uX91DbfzPrZg1w6CsN7/2CRf97OKe/7As/MDXIqvZmttUO8mN7O5cMVfvPKDJOX3Yg88XXmrryLDSd/yHRmA+u2XAbP/j213b/PxFNfxNpwA4yso/r0g1i7foeJJ/83lfV7SI1tgGe+S3X3hxk69H+pDawnue5yUge/Sm3vJ8i+8DDN7ASs3Un611/Buv4e0kcegvQAzc17SRz4Anr9h5FXf43UCuiltyE//zyJ138I+5WnsWdPwlXvg59/Hr3iTqRWhBP7kes+BE98HbbcAHYdOfR9eMMfIge/Cut3IyPr4KlvwU3/Ap77AQyudQbzX34Z9t5L8tnvMrnrHaTHN8x7zUTkQFcX1C6Rc91LAV7a59wjubEFu5atRmTN0C9fmuG6i4ORePcffJk7lzjwf//JV7jj6qDbutZoRlx8FzrPnJzlig1BV+CR00W2Tw3Ps0WbY9Nltkx2r0acuhGcfsIh/QCPHj7DLTEW01KZ7146rwIVCo29/sUXX1zepzIYVpG+EyiDoUeZ717qJEjiBLDF93qz2xbbR0RSwBhwNrwjVb1PVfeo6p6pqalOz91gMBgMr0E6EajHgR0icomIZIC7gPtDfe4HPP/T+4EfLnX+yWAwGAwG6MDFByAi7wT+K5AEvqCq/0FE/gzYr6r3i0gO+BJwHTAN3OUFVZxjn6eBXvPxrQXmnTfrQy6kz9OLn2Wrqq66K8DcSyuO+SwrT+y91JFAvVYQkf29MKfQLS6kz3MhfZbXAhfS38t8ltXDZJIwGAwGQ09iBMpgMBgMPYkRqCD3rfYJdJkL6fNcSJ/ltcCF9Pcyn2WVMHNQBoPBYOhJjAVlMBgMhp7ECJTBYDAYehIjUCFE5C9E5FkReUJEvi0i0YyKPc5C5VH6BRHZIiI/EpGnReQpEflXq31Ohs4x91Lv0K/3kpmDCiEib8PJhNEQkT8HUNU/WeXT6hi3PMpz+MqjAL8TKo/SF4jIBmCDqv7CLeZ3AHhvP36W1yLmXuod+vVeMhZUCFV9UFW9mtj7cHIP9hOt8iiqagFeeZS+Q1VPquov3N/ngGeAFSqKZeg25l7qHfr1XjICdW4+AnxvtU9ikWwCjvleH6cPvogL4VZpvg54bHXPxLBEzL3UI/TTvdRJwcILDhF5GIirn/4ZVf2O2+czQAP4yvk8N0MUERkG/gb4lKrOrvb5GNqYe6m/6Ld76TUpUKr6lnO9LyJ3A+8Cbu/DrOydlEfpG0QkjXNDfUVVv7Xa52MIYu6l/qEf7yUTJBFCRO4A/gvwJlU9vdrns1jcelzPAbfj3EyPA7+rqk+t6oktAXFKe34RmFbVT632+RgWh7mXeod+vZeMQIUQkcNAlnbBxX2q+vFVPKVFE1ceZZVPaUmIyK3APwK/Bmy3+d+q6gOrd1aGTjH3Uu/Qr/eSESiDwWAw9CQmis9gMBgMPYkRKIPBYDD0JEagDAaDwdCTGIEyGAwGQ09iBMpgMBgMPYkRKIPBYDD0JEagDAaDwdCTGIHqcURkm4hURORXy9zPn4rIH/le/3SJ+xkQkV+JiCUia5dzTgbD+cTcS/2HEaj+4IiqXhtuFIcl/Q1V9eYlbldxz+XlpWxvMKwy5l7qI4xArRIicqeI/E2o7V4R+W8LbLfNrfD5f4AngS0i8rcicsCtlHmPr+9nROQ5EXkEeF1oP0X3Z2Rb9xjPiMhfuu0PishAlz66wdBVzL10AaOq5t8q/MPJiXV1qO1twMOhtm3Ak6HXNrDX1zbp/hzAudHWANe7xxgERoHDwB/5timeY9ttOOURrnXf+wbwodB5HQXWrvZ1NP/MP3MvXbj/jAW1CojIbiChqk+KyFYRudd9Kw10khzxRVXd53v9SRE5iFO1dAuwA3gj8G1VLatT9+X+efYVty3AC6rq+eoP4NxoBkNPYe6lC5vXZD2oHuBanC8qwFtpf5GvBA52sH3J+0VEfgt4C/AGVS2LyD8AuU5OYoFta76uTZynQoOh1zD30gWMsaBWhwQwLCJJ4H3AiOuXvhv460XuawyYcW+Ky4G9bvtPgPe6kUIjwLsXsa3B0C+Ye+kCxgjU6vAAcCnwK+BzwFXAfuA+Vf3FIvf1fSAlIs8A/wnHvYC7n6/jPEV+D6fYWkfbGgx9hLmXLmBMPageR0S2AX+nqlev8qkEEJGjwB5VPbPa52IwdIK5l/oPY0H1Pk1gbLmLC7uFt7gQZxLaXqi/wdBDmHupzzAWlMFgMBh6EmNBGQwGg6EnMQJlMBgMhp7ECJTBYDAYehIjUAaDwWDoSYxAGQwGg6EnMQJlMBgMhp7ECJTBYDAYepL/D992hk8qv5soAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Pulse Type:\tex\n",
      "Phase:\t\tmin\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "bd8872f5674543deb6f06b93d42c8612",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(FloatProgress(value=0.0, description='DesignPaulynomials', max=20000.0, style=ProgressStyle(des…"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "SLR:\t\tEnergy=0.31750783057295495\tPeak=0.1867161955924386\n",
      "SLfRank:\tEnergy=0.23415362538532714\tPeak=0.16474447582694351\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Pulse Type:\tsat\n",
      "Phase:\t\tmax\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ebf4af1683af467abf4fead9891ee0b1",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(FloatProgress(value=0.0, description='DesignPaulynomials', max=10000.0, style=ProgressStyle(des…"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "SLR:\t\tEnergy=0.3520533336550258\tPeak=0.21152538830998166\n",
      "SLfRank:\tEnergy=0.33349269174628193\tPeak=0.20845268662559244\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Pulse Type:\tinv\n",
      "Phase:\t\tmin\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "8bb79a8f85384df087f1d0194414d08e",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(FloatProgress(value=0.0, description='DesignPaulynomials', max=20000.0, style=ProgressStyle(des…"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "SLR:\t\tEnergy=2.9950849534115935\tPeak=0.7805176849429784\n",
      "SLfRank:\tEnergy=2.3051393211173528\tPeak=0.6786259762204384\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Pulse Type:\tse\n",
      "Phase:\t\tlinear\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "2e9e0952ef3d436698e7000dfd4c462a",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "HBox(children=(FloatProgress(value=0.0, description='DesignPaulynomials', max=3000.0, style=ProgressStyle(desc…"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "SLR:\t\tEnergy=2.73540298905502\tPeak=0.827458237466556\n",
      "SLfRank:\tEnergy=2.2273945861548334\tPeak=0.715981548588925\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "tags": []
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for ptype, phase in [('ex', 'linear'), ('ex', 'min'), ('sat', 'max'), ('inv', 'min'), ('se', 'linear')]:\n",
    "    print(f'Pulse Type:\\t{ptype}')\n",
    "    print(f'Phase:\\t\\t{phase}')\n",
    "    if phase == 'linear':\n",
    "        ftype = 'pm'\n",
    "    else:\n",
    "        ftype = phase\n",
    "\n",
    "    pulse_slr = rf.dzrf(n=n, tb=tb, ptype=ptype, ftype=ftype, d1=d1, d2=d2)\n",
    "    pulse_slfrank = slfrank.design_rf(n=n, tb=tb, ptype=ptype, phase=phase,\n",
    "                                      d1=d1, d2=d2, solver=solver)\n",
    "\n",
    "    print(f'SLR:\\t\\tEnergy={np.sum(np.abs(pulse_slr)**2)}\\tPeak={np.abs(pulse_slr).max()}')\n",
    "    print(f'SLfRank:\\tEnergy={np.sum(np.abs(pulse_slfrank)**2)}\\tPeak={np.abs(pulse_slfrank).max()}')\n",
    "\n",
    "    fig = slfrank.plot_slr_pulses(\n",
    "        pulse_slr, pulse_slfrank, ptype=ptype, phase=phase, \n",
    "        omega_range=[-1, 1], tb=tb, d1=d1, d2=d2)\n",
    "    plt.tight_layout()\n",
    "    plt.show()\n",
    "    fig.savefig(f'{ptype}_{phase}.pdf')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "id": "80pVGYUsPz1M"
   },
   "outputs": [],
   "source": []
  }
 ],
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