{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Bioethanol recovery and dehydration\n",
    "\n",
    "A realistic fuel-ethanol back end: fermentation beer in, anhydrous fuel ethanol out.\n",
    "Eight unit operations with a closed recycle loop, then a techno-economic analysis.\n",
    "\n",
    "**The process**\n",
    "\n",
    "| Unit | Job |\n",
    "|---|---|\n",
    "| P1 | pump beer up to column pressure |\n",
    "| H1 | preheat |\n",
    "| M1 | mix fresh beer with sieve recycle |\n",
    "| D1 | **beer column** — strip ethanol out of bulk water |\n",
    "| D2 | **rectifier** — concentrate toward the azeotrope |\n",
    "| H2 | vaporise |\n",
    "| MS | **molecular sieve** — break the azeotrope |\n",
    "| H3 | condense product |\n",
    "\n",
    "The interesting constraint is that ethanol and water form an **azeotrope** at\n",
    "89.4 mol%, so no amount of distillation gets past ~95 wt%. That is why every\n",
    "real fuel-ethanol plant has a molecular sieve."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "BioSTEAM 2.53.11\n"
     ]
    }
   ],
   "source": [
    "import os, warnings\n",
    "for p in ('/opt/homebrew/bin', '/usr/local/bin'):\n",
    "    if p not in os.environ.get('PATH', ''):\n",
    "        os.environ['PATH'] = os.environ.get('PATH', '') + ':' + p\n",
    "warnings.filterwarnings('ignore')\n",
    "\n",
    "import biosteam as bst\n",
    "from IPython.display import Image, display\n",
    "\n",
    "bst.settings.set_thermo(['Water', 'Ethanol'], cache=True)\n",
    "print('BioSTEAM', bst.__version__)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Where the azeotrope actually is\n",
    "\n",
    "Before designing anything, locate the wall. At the azeotrope the vapour and\n",
    "liquid compositions are identical (`x = y`), so distillation stops working."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  x_EtOH    y_EtOH     T (C)\n",
      "   0.600    0.7013     79.22\n",
      "   0.750    0.7852     78.51\n",
      "   0.850    0.8571     78.28\n",
      "   0.894    0.8940     78.25\n",
      "   0.950    0.9467     78.30\n",
      "\n",
      "x = y near 0.894 -> that is the azeotrope, at 78.25 C\n"
     ]
    }
   ],
   "source": [
    "print(f\"{'x_EtOH':>8}  {'y_EtOH':>8}  {'T (C)':>8}\")\n",
    "for x in [0.60, 0.75, 0.85, 0.894, 0.95]:\n",
    "    s = bst.Stream('probe', Water=1-x, Ethanol=x)\n",
    "    bp = s.bubble_point_at_P(101325)\n",
    "    print(f'{x:8.3f}  {bp.y[1]:8.4f}  {bp.T-273.15:8.2f}')\n",
    "print('\\nx = y near 0.894 -> that is the azeotrope, at 78.25 C')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Feed\n",
    "\n",
    "100 t/hr of fermentation beer at 9 wt% ethanol, typical of a corn ethanol plant."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Stream: beer\n",
      "phase: 'l', T: 305 K, P: 101325 Pa\n",
      "flow (kg/hr): Water    9.1e+04\n",
      "              Ethanol  9e+03\n"
     ]
    }
   ],
   "source": [
    "beer = bst.Stream('beer', Water=91000, Ethanol=9000, units='kg/hr', T=305)\n",
    "recycle = bst.Stream('sieve_recycle')   # closed later by the molecular sieve\n",
    "beer.show(flow='kg/hr')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. Build the units\n",
    "\n",
    "`P1-0` means \"outlet 0 of P1\", which is how units get wired together."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "units built\n"
     ]
    }
   ],
   "source": [
    "P1 = bst.units.Pump('P1', ins=beer, P=2*101325)\n",
    "H1 = bst.units.HXutility('H1', ins=P1-0, T=350, V=0)\n",
    "M1 = bst.units.Mixer('M1', ins=(H1-0, recycle))\n",
    "\n",
    "# Beer column: pull ethanol out of 91 t/hr of water\n",
    "D1 = bst.units.BinaryDistillation(\n",
    "    'D1', ins=M1-0, outs=('beer_overhead', 'stillage'),\n",
    "    LHK=('Ethanol', 'Water'), Lr=0.99, Hr=0.98, k=1.25, P=2*101325,\n",
    ")\n",
    "\n",
    "# Rectifier: concentrate, but deliberately stop short of the azeotrope\n",
    "D2 = bst.units.BinaryDistillation(\n",
    "    'D2', ins=D1-0, outs=('rectified', 'recycle_water'),\n",
    "    LHK=('Ethanol', 'Water'), Lr=0.99, Hr=0.50, k=1.25, P=101325,\n",
    ")\n",
    "\n",
    "H2 = bst.units.HXutility('H2', ins=D2-0, T=380, V=1)   # sieve needs vapour\n",
    "\n",
    "# Molecular sieve. Outlet 1 IS the recycle stream, which closes the loop.\n",
    "MS = bst.units.MolecularSieve(\n",
    "    'MS', ins=H2-0, outs=('ethanol_rich', recycle),\n",
    "    split=dict(Water=0.160, Ethanol=0.925),\n",
    ")\n",
    "\n",
    "H3 = bst.units.HXutility('H3', ins=MS-0, outs='fuel_ethanol', T=310, V=0)\n",
    "print('units built')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4. Assemble and solve\n",
    "\n",
    "Declaring `recycle=` tells BioSTEAM this is a **tear stream**: guess it, run\n",
    "the loop, compare, repeat until the guess comes back unchanged."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "converged\n",
      "recycle carrying: 1,485 kg/hr\n"
     ]
    }
   ],
   "source": [
    "sys = bst.System('ethanol_sys', path=[P1, H1, M1, D1, D2, H2, MS, H3],\n",
    "                 recycle=recycle)\n",
    "sys.simulate()\n",
    "print('converged')\n",
    "print('recycle carrying:', f'{recycle.F_mass:,.0f} kg/hr')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5. The flowsheet"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dot = sys.diagram(format='png', display=False)\n",
    "display(Image(dot.pipe(format='png')))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 6. Stream table"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "stream                   kg/hr   EtOH kg/hr   wt% EtOH\n",
      "------------------------------------------------------\n",
      "beer                   100,000        9,000        9.0\n",
      "beer overhead           11,452        9,617       84.0\n",
      "stillage                90,033           97        0.1\n",
      "rectified               10,438        9,521       91.2\n",
      "rectifier bottoms        1,014           96        9.5\n",
      "sieve product            8,954        8,807       98.4\n",
      "sieve recycle            1,485          714       48.1\n",
      "FUEL ETHANOL             8,954        8,807       98.4\n",
      "\n",
      "product purity   : 98.36 wt%\n",
      "ethanol recovery : 97.9 %\n"
     ]
    }
   ],
   "source": [
    "rows = [('beer', beer), ('beer overhead', D1-0), ('stillage', D1-1),\n",
    "        ('rectified', D2-0), ('rectifier bottoms', D2-1),\n",
    "        ('sieve product', MS-0), ('sieve recycle', recycle),\n",
    "        ('FUEL ETHANOL', H3-0)]\n",
    "\n",
    "print(f\"{'stream':<20}{'kg/hr':>10}{'EtOH kg/hr':>13}{'wt% EtOH':>11}\")\n",
    "print('-'*54)\n",
    "for name, s in rows:\n",
    "    tot, et = s.F_mass, s.imass['Ethanol']\n",
    "    print(f'{name:<20}{tot:>10,.0f}{et:>13,.0f}{100*et/tot if tot else 0:>11.1f}')\n",
    "\n",
    "prod = H3-0\n",
    "print()\n",
    "print(f\"product purity   : {100*prod.imass['Ethanol']/prod.F_mass:.2f} wt%\")\n",
    "print(f\"ethanol recovery : {100*prod.imass['Ethanol']/beer.imass['Ethanol']:.1f} %\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note the rectifier tops out around 91 wt%, short of the azeotrope, and the\n",
    "molecular sieve carries it past 98 wt%. Distillation alone cannot do that."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 7. What the recycle is worth\n",
    "\n",
    "The sieve regeneration stream is about half ethanol. Throwing it away is a\n",
    "large yield loss, so quantify it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ethanol circulating in the recycle : 714 kg/hr\n",
      "as a fraction of ethanol fed       : 7.9 %\n",
      "\n",
      "Without the loop that stream is a purge, and recovery falls\n",
      "from ~98% to ~91%.\n"
     ]
    }
   ],
   "source": [
    "lost = recycle.imass['Ethanol']\n",
    "fed  = beer.imass['Ethanol']\n",
    "print(f'ethanol circulating in the recycle : {lost:,.0f} kg/hr')\n",
    "print(f'as a fraction of ethanol fed       : {100*lost/fed:.1f} %')\n",
    "print('\\nWithout the loop that stream is a purge, and recovery falls')\n",
    "print('from ~98% to ~91%.')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 8. Equipment sizing and cost"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "unit    type                       installed cost, USD\n",
      "------------------------------------------------------\n",
      "P1      Pump                                    18,972\n",
      "H1      HXutility                              108,537\n",
      "M1      Mixer                                        0\n",
      "D1      BinaryDistillation                     777,554\n",
      "D2      BinaryDistillation                     866,270\n",
      "H2      HXutility                                7,163\n",
      "MS      MolecularSieve                         991,629\n",
      "H3      HXutility                               99,190\n",
      "------------------------------------------------------\n",
      "TOTAL                                        2,869,315\n",
      "\n",
      "D1 stages: 21   D2 stages: 33\n"
     ]
    }
   ],
   "source": [
    "print(f\"{'unit':<8}{'type':<24}{'installed cost, USD':>22}\")\n",
    "print('-'*54)\n",
    "for u in sys.units:\n",
    "    print(f'{u.ID:<8}{type(u).__name__:<24}{u.installed_cost:>22,.0f}')\n",
    "print('-'*54)\n",
    "print(f\"{'TOTAL':<32}{sys.installed_equipment_cost:>22,.0f}\")\n",
    "print()\n",
    "print(f'D1 stages: {D1.design_results[\"Actual stages\"]:.0f}   '\n",
    "      f'D2 stages: {D2.design_results[\"Actual stages\"]:.0f}')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 9. Techno-economic analysis\n",
    "\n",
    "`bst.TEA` is a template you subclass, defining how each cost layer scales:\n",
    "\n",
    "`installed equipment -> DPI -> TDC -> FCI -> fixed operating cost`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Installed equipment : $     3,310,447\n",
      "Fixed capital       : $     4,796,838\n",
      "Total capital       : $     5,036,680\n",
      "Annual operating    : $    20,440,344 /yr\n"
     ]
    }
   ],
   "source": [
    "class EthanolTEA(bst.TEA):\n",
    "    def _DPI(self, installed_equipment_cost):   # + site work\n",
    "        return installed_equipment_cost * 1.15\n",
    "    def _TDC(self, DPI):                        # + contractor fee, contingency\n",
    "        return DPI * 1.20\n",
    "    def _FCI(self, TDC):                        # + non-depreciable items\n",
    "        return TDC * 1.05\n",
    "    def _FOC(self, FCI):                        # labour, maintenance, insurance\n",
    "        return FCI * 0.06\n",
    "\n",
    "# price the feedstock, otherwise MPSP only reflects processing cost\n",
    "beer.price = 0.02          # USD/kg of beer\n",
    "\n",
    "tea = EthanolTEA(\n",
    "    system=sys, IRR=0.15, duration=(2026, 2046),\n",
    "    depreciation='MACRS7', income_tax=0.21, operating_days=330,\n",
    "    lang_factor=3, construction_schedule=(0.4, 0.6), WC_over_FCI=0.05,\n",
    "    startup_months=0, startup_FOCfrac=1, startup_VOCfrac=1,\n",
    "    startup_salesfrac=1,\n",
    "    finance_interest=0, finance_years=0, finance_fraction=0,\n",
    ")\n",
    "\n",
    "print(f'Installed equipment : ${tea.installed_equipment_cost:>14,.0f}')\n",
    "print(f'Fixed capital       : ${tea.FCI:>14,.0f}')\n",
    "print(f'Total capital       : ${tea.TCI:>14,.0f}')\n",
    "print(f'Annual operating    : ${tea.AOC:>14,.0f} /yr')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Minimum product selling price\n",
    "\n",
    "The price at which the plant exactly hits its target return. This is the\n",
    "headline number of every biofuel techno-economic paper."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "MPSP : $0.302 /kg ethanol\n",
      "       $0.87 /gal  (approx, 2.9 kg/gal)\n"
     ]
    }
   ],
   "source": [
    "mpsp = tea.solve_price(H3-0)\n",
    "print(f'MPSP : ${mpsp:.3f} /kg ethanol')\n",
    "print(f'       ${mpsp*2.9:.2f} /gal  (approx, 2.9 kg/gal)')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 10. Sensitivity: what does chasing rectifier purity cost?\n",
    "\n",
    "Sweep the rectifier's water recovery and watch stage count, capital, and MPSP\n",
    "respond. Push too far and the column hits the azeotrope and fails outright."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Hr=0.30  rectifier 88.1 wt%  16 stages  MPSP $0.297/kg\n",
      "Hr=0.40  rectifier 89.6 wt%  22 stages  MPSP $0.299/kg\n",
      "Hr=0.50  rectifier 91.2 wt%  33 stages  MPSP $0.302/kg\n",
      "Hr=0.60  FAILED - azeotrope reached\n",
      "Hr=0.65  FAILED - azeotrope reached\n"
     ]
    },
    {
     "data": {
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CgoI0GTNm1AwcODB21apVkebn37x5U7t+/fpE06Ts3btXZ36e/J4ZM2aki9cTMKtfv76xdu3aliCt8ePHk2UFAAAASAZm6gAAAJCu+Pv7a4oVK2YaMGBA7KlTp8L79OkTq/z306dP+6xYscIqsALPmjRpUowyEKhVq1aJRvn89NNPVjtQW7Zs6VBk0M6dOyOVx5LMLLwn3vkee6O08ncAjuDz/qwPP/zQspgs2bukpEd6+DRt3rzZEnzSqVOn2AoVKjyTVaZ169YG5cL7pk2bfBMrqzh06NAA8+NJkyZF586dm2sy0p3XXnvNUmfr+PHjOrKsAAAAAElHwAoAAADSLV9fX83ixYujSpcubbWIs3jxYgJW3OD+/fuWckvBwcGaDBkyuOMwAADEO3bsmM/hw4ctwZKvvvqqZZE5LTMajZpffvnF8ne3aNHCZqCe8t9Onjxpt7TJ7Nmz/S5duhQ/l1imTJm4YcOGpYvXE1Br3769IXv27JZgrZkzZ/rxKgEAAABJQ8AKAAAANOk9aEW5S1L8/PPPOnMafbhOeHi45f+lPEF6IrvSKTUFgH7FsxYtWmRZRJaSYFKGLj18Ch8/fqyJjLRU+9GUKFHimewqZiVLloxLKLBU7e7du9oPPvjAkq1m4cKFUentWg4oMzZ26NDB0p/s3LlTf+PGDZvtBwAAAIBt3FkCAAAg3ZNa9Oqdyb/++qtPjRo1bC7wqJ0/f95n48aN+r1798qEtc8///yjlSCFrFmzmgoXLhzXuHFjQ9euXQ1SjiA5L7ic13fffaeX1ONXr17VPXjwQPvkyRNNxowZNVmyZDFlyZIlrmzZsnG1atUy1qtXz1CiRAnL7s+4uLj4v02YTNYZ/OX7cr72AnuUlL/LvBDo4+Nj9zkmk8lqIt/e8exRn0tKvDfyd8nfl9A53bx5U7tmzRrfbdu26e/cueMjC4DR0dEaeV/Onj37X9SOC8jfJiWsdu3apb97967P06dPNbly5TIVKFAgTko99OjRIzap5RoceY8TEhERodmwYYN+69atvr/88ovPvXv34s9LXqOMGTOa5Ctz5sym4sWLx5UrVy6uUaNGhooVK8Ypf7enP6sp5datW1p5rY4cOaKX1+r+/fvxr5VkIJLXqFSpUsY6deoY5X0sWLBgou+jK1+3lOznktP+JPuDtIk9e/ZIm9BKHyl9o5yftIlevXrF5s2b1+E2IYFm5tdSq9U6FWzn7GfPFf2Ks31zUj8nyuc4+7rYen3Vf3NyhYWFWZW4qVu3rlGZEcHZ98AW9Wvu6Oth61iueH/CwsKsrrfSp9gSEhJiOUhUVFT8e5LQ+Y8ePTpA+ifxyiuvxKrHTinJVX2Tu/tQs3v37mlXrlzpu2nTJv3Nmzfj23NISIgmX7588ddEKVspGWw0XnBdcbR9uPNvMgc9f/vtt/rt27f7SvnOv//+20fGv5kyZTLlzJnTJONeyRYkZf88FUjVsWPH2E8++cTX/HmRa8+UKVPIOgQAAAA4SWsymZ44+0MAAACAt5FU3G+++aZl52+zZs0MO3bs+G97sR2STSVLliyhyu9t3bo1okWLFokuxly7dk07bty4gG+++UavXtxQk4XD3r17x86cOTMqU6ZMGmf89ttv2rfffjtg/fr1euViQWKePHnyNDT0//80mejv0KFDoCYJIiIingYG/vejkydP9psyZYrl9d60aVOkLAYrf+b999/3mzhxouU5rvLXX3+FJbbo6O73pkePHgGrV6+2rNScOXMmXBbCxowZ479gwQI/5eKlmSzUnDt3ziUBK7Jzfvz48TaPZRYQEKB57733ot94442YL774wrd3794B5n9bsGBB1JAhQ2yuvjnyHqt9/fXX+uHDhwfY26WfkAsXLoSXKlXK8sH29GdVyd3Pl8Vg+fsWLlzod+jQIbvlN5SLgvL5nDt3blRQUJDN57nydUuJfs5RCbU/yRIxbNiwgM8++8zX3jlKKbKpU6dGvf766w5FzBUsWDBEFoDl/3PkyGG6f/9+mKPnuXDhQt+hQ4da2txnn30W1b9//1h39iuOfB6T+zmRa1C+fPlCHz16FP89+Uz+8ccfTyVw0hn//vuvJm/evKESJCEyZ84sWTxsfg6dtXr1an2PHj0sv2zWrFnRo0aNsruYPGrUKP85c+ZYsrL8+OOPERLoYu9nevbsGbBq1SqraIXbt2+H5cuXz25jqV27dtCRI0fi+wA/Pz/NgwcPnsoCvyvasXpcc+LEifCqVasmOHiQ4Ib27dvHH09+Vn6H+jn79+/XNWzYMMjchi5duhSWJ0+eJAVDupKr+yZX9qEJtWcJ0pw+fbrf5MmT/c2fe1vnOnLkyJjp06dHOxJg6c7ripIn/yal5cuX+8p48o8//kh0bCFjidmzZ0e9+OKLDgVUJWWsYyZ9co4cOUL+/fff+POSQNwrV664NDAZAAAASA+8Y1sZAAAAkIISCgAxGAyJTopLlpOqVauGSBBJYgsl5ontZcuW+datWzf4zp07Di/ob9++XVelSpUQCQZwJlglPfPUe6NcLGrbtm3g3LlzbQaQOHIejpCsCq1btw6ydywzWTySQK433njD5YFDanPmzPHt0qVLoLPBKunN4cOHdfI6ObqoKGRXvwRi1K5dO/jBgweatNyWkkJen9atWwcuWbLEbrCKkB35Q4YMCXjrrbfc3iaSy5P9ijMkU0O3bt1ilFmVJCDO2d/z+eef+ykXuLt27RrjqmAVIVmelI8ly0ZiP6N+zvfff59oO/3hhx+eSefw/fff6xPL/vLTTz9ZfnfVqlWNEqziKhI8pAxCuHr1qo+9zG3m/5cMXQm1L2kz5scTJ06M9oZgldTQN6n1798/YOzYsXYDO8znKoHYw4cP9/f264q7/ibzz7z22msB/fr1C3AkWEVcvHjRp3nz5jJGcl26JjtBOPXq1TMq29mVK1cYAwEAAABOImAFAAAA6Z6UUlG/CJJG3t4Ls3fvXt1LL70UJLuYzWSH/7x586IkW0R4ePjT6Ojop1evXg2T7yl3Wkvq+hYtWgQlNrkvtmzZon/55ZeDHj9+bPmeLGqNGDEiZv/+/RGSbcRgMDx99OjR019++SVcsmZImn4pSfDM4N/HJ35yXb7U/678t4S+Evp9iVH/TjV7x0vOsT313ii99957/lKqQ/6/QoUKccuWLYv6/fffw2JiYp7+8ccfYVu2bImoXbu2S8onyMLNnj17rF7Qrl27xu7bty/i33//fRoVFfX08uXL4VOnTo2WUijy77NmzfKTNP0aNzl79qzPmDFjLAuaok2bNoYNGzZE3rx5M0xeb/mc/vPPP0+PHz8eLq/7Cy+8YLS1y9rTn9WUIOdZvXp14wcffBC9e/fuiDt37oRFRkbGv07SruV7AwcOjFUu4Et5h169etlc0Xf165YSbSkppP1JWSzz+S1ZsiTq1q1bYbGxsU/v3bsX9u2330aqs2TMmDHDb8GCBW5f0EwOd/UrrvicDB482CpTzNKlSy1ZSRy1dOlSq9dfPu8aF5HgTmU/KX2hI+VI5Pop2U7M9u/fb7fflGCP27dvaxNqO/Z+7sCBAzpleZkGDRoYXPn+yPMqVqxo+Wxs377d5t+xY8cOy79Vrlz5mc+TBExJEID8f+nSpeOGDx+e4iVP3NU3ufPaI1lIJGBG/r9y5cpxK1eujJR+Strz48ePn+7atSuiQYMGVq+/ZExJ7LPk7utKSv5No0eP9jeX3DGTsYOMLaRvlz5eshlJ36jM0ibtf+TIkfEZtzRuVr9+fYO9QDkAAAAAiSNgBQAAAOmepLq3GiT7+GjKlStncxHw3r172u7duwfGxPy3ZiMlV86fPx8+bNiwWJk0l53NsuhVrFgxk3zv4sWLYQ0bNjQqF/jHjRtnd5fpjRs3tL169QpQ7qyvU6eO8ddffw2bM2dOtEzaS2kcWSiR3dTly5ePkxIvP/zwQ4ScS8uWLQ3KBZS2bdsaZNFCvtQLTrKIYf63hL6ktIyzxo8fH6P8HUWKFLEsGMn52jue8qtRo0YOL8h66r1RMweDDB06NOann34K79u3b2zBggVNknI/d+7cppYtWxoXL16c7JV7CWBas2aNZTFE3vu1a9dGfvnll1GyKCQlNfz9/eMX7saNGxcjpUKkpIjyHN1h3rx5fpINQvE4auPGjZHymStQoIBJXm8516xZs2qqVasmpVtiJeBKFhNfeeWVWHVAk6c/q54kn4kePXrEXr58OezYsWMR0k6aNGlizJs3r0nOXV4LadfyvU8//TTq1KlT4cq2IwEMmzdvTvC9dOXrllJtKSm+++47vfnv//nnn8MHDBgQmz9/fpNer9fkzJnT1K5dO4P0i2PGjLF6TcaPHx/w+++/e22Ek7v6FVd8TiRwQRkEdO7cOZ+jR486PMckARuXL1+2PL9atWpGKS2icREJJDGX6RDyux0pQyLZY+RczI+PHz+uCw+3XeFDHTzoaKCLOgNL48aNja5ux61atbJ0yuvWrfM9c+bMMy/Atm3bdAcPHrT8DW3atLEKGpKsFu+//76lDUtQrHz+UpI7+yZ3Xnu+/PLL+BdOrs1SoqlHjx4G6afk9ZQyS02bNjV+//33Ed26dbN6D6ZNm+afkteVlPqbdu3apZs/f75VIJyUOJSxg7xP0rdLHy/BSNI3nj59OlyCd5XPHzVqVMDVq1fd2sdXrFjRqt86evSowwFGAAAAAP4fASsAAABI12SH7aJFi6wmxCW9t0y02zJ+/Hh/WTAxP5ZFjY8++ihaJs5tCQ0NlcXHCOUCweLFi/3+/vtvmxPpb775ZsDDhw+1ypIBslvVkVT8smCzZcuWSFeWGEgNPPXeJEQChObPn2/3WMklafeVjyWLSufOnW2WuZDPys6dOyPsfZ5dYd++fZY/ukSJEvEBKY78nLzma9asiZIAG006UatWLePKlSujSpQo4VBJDQk42rp1a4RykXjBggVOZ7NITW0pKSQg4csvv4y0VVJGghWmT58e3b59e4OyLMuUKVO8ujSQJ/qVpBo0aJDVgv6SJUsc/lxK+Sbl4379+rksu4o4ceKE1aJx2bJlHQ58fOGFFyyfEQmKkOAaR/o+5cL13bt3tZcuXbI556YMaJEgmZo1a7okA5dS//79YySIUUg2lxdffDHoyy+/1EtWEmmTixYt8u3ataulblChQoVMHTt2tLqeSDk5KaMlunTpEqvOlpESUlvfpNS7d+9YuW7byy62aNGiKHN2NHPpoz///FPrrdcVd/1NY8eODVCWepLMMG+//bbN7D4SrPvFF19EyWuh7OMnT57s1j6+QoUKVm3i5MmTBKwAAAAATiJgBQAAAOlWdHS0TLQHSs155fffeuutaFs/IxPs5h2lQnaSTps2zebz1QsmU6ZMseyGj4yMfGbRzkx2hCozYshO4VWrVkXJrmGk7Htja0FGsoq487358ccfdeayDKJ48eJxI0eOTLQ0g2Q4sfeZdgXl4qEErLjzWOmRLC62b9/esqAvC+jyGU2LbSmpZs+eHeVIdh318yTzhLLkmjfxRL+SHB06dDDkyJHDsqK8fv16h17Lf//9V7NhwwbLZ0IC6iTTkivP7cKFC1bX9cKFCzvcLymznSSUDUVZdkQZzCIBPMqAUlvZV/755x+tZKQxP65du7ZBWYbIVSSj1dy5cy0dxf3797XdunULzJIlS2iOHDlChgwZEvD06dP4f5Ngj2XLlkUqz+OHH37QffXVV77mdj1z5ky3XkfSat+kDEyS/iex50kGOmVgnXzOfvrpJ503Xlfc9TdJ1h8pVWR+LMEu06ZNS/Q4EoAjwTHK7ILffPONb2LBMckhf5uyjKhk7YqIiHDX4QAAAIA0iYAVAAAApEmyK1N2FKu/ZKewLGQtWLDAt1y5csFff/211ULUoEGDYps1a2ZzB/Hq1at9JdDFbMCAATHOlCDp1KmTQSb4EysbIAsyylJArVu3NqSnLBRJ4an3JiH169c3Knduu8OGDRuszqdPnz6xjpZmePXVVx1+blIoS/pcuXKF+0w3kBJg5v+Xvsydu7hTsi0lhQRvOVo6TAK4mjVrZlk4lYXFrVu3el/6Eg/1K8khwQ29evWyLHhL6ZyVK1cm2tF8/vnnfpLdzKxz586xrs4GdvPmTat+SMqGOPqzku1EeT7KLCpKp0+ftio71KRJE0ODBg0sn629e/cm+HN79+7VyYK9mbJUjav17NnTIGV8JPuELRIwtH79+kjleUiJNwloMT+eOHFitJSXUZcLGj16tH+pUqWCg4ODQ/39/UMLFy4c0r9//4Dz58+75TqQ2vomJQkOMWe8SYwyS4i5hJE3Xlfc9TepxztS6idTpkwOHadChQpxtWvXNiqzJEk5RY0bqTMf/v7774yDAAAAACcwgAYAAECatGvXLr2fn1+o+itjxoyhZcqUCR42bFiAcmFddhePGTMmRnZm2vu96tIAL7/8ss1yLLYW+CpWrGi0VbbA7Mcff7SaXHf17vO0yFPvTWIlJNzl+PHjSf77smXLZnJHyQmzokWLWlZfpV1Nnz7d7SVr0jIJVlMH22XPnt1qQez69es+abEtJUXz5s2dOr9WrVoZ7LUtb+GJfiW5Bg8eHKMsBbJs2bJE2/6yZcusglok6MDV5yXZRJSP1e0nsc9vrVq1DMqFdcmKon6eMvOKBBYVLlzYpAycOnjwoF4ZeGorAKZx48ZufZ+HDBkSe/bs2bDXX389RgJfJdOILP6XLVs2TsY9ly9fDmvTpo3VOcybN8/PnKVGMnGMGDHC6j367rvv9M8//3zI7Nmz/aT0kQR+SWCAZJeQ97dixYrBs2bN8kvvfZNS3bp1jUm5pgplYJQ3XVfc9TcdO3bM6n1Rfz4TI0He9n6fq6lfRwnmcufxAAAAgLTGK3cRAQAAAJ4kE9tTp06NLlWqVKIZTJSLG5JV4rnnnrP6GeWuacnyomR+nCtXLss/SDp+KaEgKcWVTp8+bTW5XqNGDbcFG6QVnnpvElKuXDm3Z785d+6c5e8LDAzUOJtxp3z58kYpK+SOc2vdurUsiFq28I8dO9Z/+/btelmIlgVF2cGPZz18+DC+jIq8LxcuXNDduXNHGxYWplVmn7BXViUttqWkkB31Tj7fqj89c+aMVwaseKJfSS4J0mjatKlh586d8fNLZ86c8Tl27JhPjRo14mwFHEiAg/lxxYoV46pWreryv1PakfJxYGCgU5lqJNvI7t279ebPtGRF6dy5s8FW4EnDhg0N6uATad8nT570qV69utXft3//fsvnTUqJyGugcbMSJUqYFi5cKKlJEi2fI+VT3nvvPUt/LhlalBm65D3s2LFjoAQ82CIZWt544w3/DBkymAYMGBCbXvsmewEb9mTMmNHq5J8+far1xuuKu/6ms2fPWvXJlStXdmoMXKlSJY/28er+JTw8nIAVAAAAwAkErAAAACBNkvr1yl3f5oUM9QKG2LFjh75q1arGUqVK2d3lLQswyl3Wsls1ICAgNLnn+uDBA61yIl92KT969Mjy71KaQLnAgpR7b2yRRUd3vi+ye13KbZjlyZMnTrICOSN//vxuO8dRo0bFrFq1yk9215u/J4tlP/74Y6Ccpyw2SYaXevXqGSVrhKMlBNIqKU32zjvv+H/88cd+0t6TwpkFzNTUlpKiQIECTi34FypUyOr5CWXP8Abu7ldcZfDgwbHmgBWxZMkSvxo1aiS4Or5kyRKr7Cr9+vVzeXYVoSwbI+yVxElIo0aNJPDEX1neRxmwIu32yJEjOtXz4/tZKVF19epVH3MWlurVq1v+xlu3bmnN/2Yu+6Qeq6Q0CTSRIA5zCR1l1hgJUunXr1+AOVhFsrXMmDEjSkq2SPYSCVQcOnRogAS9/O93BUhGI1eMYVJj36TkzDHU13f5273xuuKOv0kCa2TMoziGxtkxQ5EiRVyeocYedf8SGRnpzsMBAAAAaY533RUDAAAALvLiiy8aDAbDU+VXbGzs03v37oVt3bo1QpleXCb23377bf/Ro0fbXdF6+PChNqGAl+RS78SUxRPlY08spKR2nnpvbJFd5Bo3evTokdV5SBCTs9z5OZLyErt37w5PKEuRLEpJyZW5c+f6tWvXLjBbtmyhL7zwQtCKFSt87e3QT6vu3bunrVWrVrC8HvYWFSXoTjIImL8SCsBLi20pKUJDQ506YXXGn8ePH3tlwIq7+xVXadGihaFAgQKWc5XsDrJ4nlD2ho0bN1oCVoKDgzU9evRwSycQEBBgshfAkphKlSrFZcmSxfI79u3bZ5WhQYJVzEGE0lYbN25sVGZnUQa62Coj9L/nelXZJ8me8uWXX/qag1FmzZplFXi0adMm/bVr1yyd0erVqyMHDRoUK0EFkvmrffv2hl27dkWYM7LI50AdpJSe+iYlZ4NMU8N1xR1/kzq4xNn+XWTKlMlkbwzlaursNdIWAAAAADiOgBUAAACkGzI5nzNnTlOLFi2MGzdujPz888+jlJP1s2fP9lu1apXN2feEFgGUE/9J/UqMOxZo0pqUem+Ui0Dezl0BDmbFixc3/fLLL+ELFy6MKlu2bJy985BF0T59+gSUKlUqWJmlID3o0qVL4IULFywdjyzsyiLv4sWLo44fPx7+xx9/hEVERDyNi4uzCrjbvHnzf1vO03Bb8oTU0qemhn5FyPurzJQSFhamWbVq1TNBCp9//rmfMvNAx44dY91VLkwd1BcREeHUiyljA8l+Yn4sQRrKDFLKwBMp3ZQtWzaTOtuKOHbsmE65mC2lhZTHadKkidcErEhwoWRHMT+eMGFCdL58+away8aNGy1/t2TNkpJv6t8j/X/nzp0tgUhbtmxxSVRDeuib0up1xdP9tfpn3N2XRkZGqoOKU8dFBgAAAPASlAQCAABAutW7d+/YGzduaN99911LZpWhQ4cGNmrUKCxPnjzPTDYrF6SE7Ci/efNmmLvLQHjr7n9v4qn3JqUod/ontRyMu0rIKMki2euvvx4rX7/99ptWsgscPHhQd/jwYb1ysdfst99+82ncuHHQ3r17w2vWrOneiBovsHnzZr0E65gf586d27Rjx46I8uXLJ/q3h4WFeaQfSI1t6cmTJ069Nk+fPrV6TBar5BswYEDs+++/72/OmrR06VI/6QeUz1m2bJmv+mc0bpIrVy5pU5a29tdffzndfiT7iTJAY8+ePXrzOe/fv19nK0uKBKxIwIsE50mAzqFDh3TmDCw//PCD5fdJ+aASJUp4zcL2ggULfM+dOxcf9PDcc8/FjRw58pkIkVOnTumUmexs/a6WLVsaVq9eHf9+nz17ViefC3PWlfTUN3lCariueHq8ox43qzOuuNrff/9tdby8efN6TbsGAAAAUgMyrAAAACBde/vtt2OU2SAeP36sGTt2rL+tGvXK3eB3797V2ku9nlR+fn6azJkzWx5L2YE///zT6xYVvImn3puUEhAQEF8+w+yPP/7Qym54Z9y8edOjn6FixYqZBg4cGLt69eqoGzduhMnC4scffxwlu/KVz5MF3UGDBqWL/Pnr16+32jQyf/78KEcWFZO64J5e2tLNmzedmtu4fv261fOzZ89uc3FRmYXL2Z3+6SnYUBbJW7dubemUfvnlF58TJ05YXrwff/xRd+nSJcvjMmXKxNWqVcuqL3ClggULWr1Zt2/fdnr+S1nmR1neRzLI/PTTT5YAgcaNG1t1xlmyZNEo27UEush/5e+Xvtv8/QYNGnhNdhUpKfPuu+8GKPsmGYuo3b9/3/I6lixZ0mbfVbx4ccu/Sf+hLnWYXvomT0gN1xVnxzvKDElSVkrKiSWnj1cHwbiafBaV2VwKFSqU5gNwAQAAAFciYAUAAADpmuz4nTFjhlXx+TVr1vieP38+wbFy5cqVLQtYRqMxfue0O86rSpUqVgtlR48eTRt5693IU+9NSilfvrzl75MSE8rFX0ecOXMmRV8P2Q0/ePDg2CNHjkR88cUXkcoU/WfPnvVRljNIq5TvgSzKJVROwxZlZgN3S21tSYIjnHy+1d9ToUIFm4ETQUFBloXO8PBwpxZ3lcEJ6cHgwYOtogeWLFliiXhYsmSJVXoNZQkhdyhdurTR3gK2IyTLiLIkzg8//BD/udm/f7/enElGgjqUpYMSCkYxZ2PZs2eP1edOWToopb355pv+jx49iv//jh07Gpo0aZJgm5BgHbOgoCCbvy80NFSdJSNd9k2ekFquK84oV66cMTnnefr0aYf7+OR6+PChfFn6+sKFC5vkfQAAAADguDQ/IQgAAAAkplmzZsa6detaJrMljf/kyZMTzLKiTv2/fv365OW4t6FevXpWx/nyyy9dehxlsEBa4an3JqVUq1bNasHlu+++0zuTrv7YsWNeszDVs2dPQ6tWrazeL1tBYmnps/rPP/9olVk9EspgkBBZHDdnaXBUcl631NaWtm/f7tRrs2XLFqvnV69e3eZiZubMmS0L7xEREc+UfrBHSmFpvJwr21fDhg2Nyqwb69at85VABVnQ3bBhg+UzFBgYqOnVq5fbygGJqlWrWmU4MJe6cdYLL7xgaQv379/Xyu/Zu3evTvnZUWa/SijriiyeSzDIvn37rD4PjRo1SnQR3RP9n5Rtk0Bd+X/JbDFr1iyrIF4lZeYLyf5mi7qMS2hoqEvO1ZN9U2q59njyuuIpNWrUSPJ4J6HnuzObkzoAUhlUBQAAAMAxBKwAAAAAGo1m4sSJ0coXYuPGjfqEFri6desWK1lZzFasWOF7+/Ztl69qdO/ePVav/2++ffPmzfqLFy+6bPweHBxsUpdlSe089d6klA4dOlgt1H3xxRe+5l3+iVm8eLGvsyWE3K106dJWC8q2Sjukpc+qLNSbPXr0SCvBcY6QxWRns3Uk53VLbW3p2rVrPursFfZKY+3atUuvXIBv0aKFwV6WDeXjw4cPO3QcKYdz5swZr59zcXX7evXVVy2dkgSrrFq1yvfzzz/3U/7etm3bxirL3rlDiRIl4rJmzWr5286fP6+TjBzOUgeVyAK/MvDEVlkfybpiDhyQ40o5ISmLpPxc5c2bN9EyJe7u/+S6MGTIkABzuavx48dH58+f3+Z55cyZ09IeLl++bPPz/euvv1r+TV4H5XuRHJ7sm1LLtceT1xVP6dChg9Xg5quvvvKVwDdHM24p+2nJdqIOkHUldTaXWrVqeddgCwAAAEgFvH7yBAAAAPAESX+v3IEpE/5Tpkx5JsuKpPqWYBJlaZbOnTsHRkdbxbskW6FChUwdO3a0HEcCE3r27Blob0ezM7JkyWK1EHP37t1Uf2/gqfcmpdSuXdtYpkwZy0rUb7/95jNz5sxEt1L//vvv2hkzZiSYMSglyfkrH9taJE1Ln9WCBQvGKRfz9+3bl2jww507d7RvvPGG0+9fcl631NiWRo8eHeDIgvKIESMClH9Hp06dYjNkyGDz+ersK8uXL080o4P010OHDk0VNSFc3b769u0boywVs3TpUr9ly5b52gpqcRcfHx+5rlsWjiXDyc8//+z036bMlCLWrVunV2aDslU6R14D5Wdn1qxZfsqyIepMIba4u/9buHChr5Rkk/+X7DijR4+2W6pJmT3CXmajrVu36pXlXZRBJsnhyb4ptVx7PHld8ZSaNWvGVa5c2fJ3/fvvv9q33norwJG+9/XXX7cEYJn7eMk8465zPXDggNXrbS8AEgAAAEDCvPJmCwAAAEgJkyZNcijLytSpU6Pz5ctnmfw+evSo7oUXXgiSwABHjiPBMLKg0KZNm8Bdu3bZXFiYPn16tHJX8qlTp3yaNGkS5Mhu4tOnT/s0bdo0KCwsLMF/L1u2rNUWXHWpgtTKU+9NSpk+fbpVqYaJEyf6r1mzxuZ7J5+VZs2aBckilrtcunTJp0GDBkHffPON3laWFLWdO3fqpH0pFwZtpexPS5/Vpk2bWi1kSVDDgwcPbD7/6tWrWnltHzx44PQu+OS+bqmtLUlfLQvXtoL6JMvFqFGj/Ddt2qRXlil55513ohPb6a/MYCDlhFavXm3ztZTjd+jQIfDEiRNe1394on1lypQpfoHY/FiCRJTZwSTziWQf0XhAy5YtrdqbZDlx9ndIGyhevLjlNTp+/LjOvBgugU72ykkps69I+3G2HJC7+z8pcTRlyhRLEMD8+fOjEisn07ZtW8vfdPLkSd369ev1CY0/pByU+XHr1q1duoDvqb4ptVx7PHld8aQZM2ZESeCZ2WeffeY7ZcoUP1sZZCRgsUePHoFHjhyxvKfSRhPr45NDriuHDh3SK/u34sWLuy04BgAAAEirCFgBAAAA/ufFF180KhefbGVZyZUrl+nbb7+NCA4Otnzv2LFjupIlS4b06tUrQBZwrl+/rn3y5En84uXdu3e1x48f91myZIlvv379AvLmzRvSqFGjoO+++05vr0yLZJxYtWpVpLI0kCzMPPfccyGvv/66vyy0yC5ZmaSXhSc5huzirlmzZlDlypWDpUSGcpepUs2aNY3KrAISbDB+/Hh/2TkuQS6yS1X5lVp46r1JKc2bNzf27NkzVrlY0r1798D27dsHShDIvXv3tBKcIov3srBTrly5EHNpho4dO7rlD5LP2A8//KDr2LFjYI4cOULlv/Pnz/c9ePCgTgJm5PMUERGhuXXrllYW+7t37x7QsmXLIOXr+/bbb0fbWihNS5/VQYMGxWTOnNmkLKlRvnz5EHm9ZBFRXqe///5bK6VDhg0b5i/vnzkTjTKrgCOS+7qlprZkLpcln68KFSoEL1q0yPfatWtaOS/5DH711Vf6OnXqBM2ZM8fqQzZt2rSoAgUK2F1clNI1r776qlUkVu/evQMHDhwYcOzYMZ/Hjx9r5EuyVEyfPt1PXh8p4Sb9tpQv0Xg5d7SvwYMH24xc69evn8dekzZt2hgkKMlM3pek/J6GDRsmGFxSp04dg73MIY0bN07w53Q6nc1SQp7s/8aMGeMvmWdE+/btDU2bNjU68poWLVo0TtkW5s6d6yvXHvldX375pf6ll16y9O8SwDRw4ECXvuee6ptSy7XHk9cVT5J2N2rUKKu+ZPLkyf7169cP+vrrr/UyppD3V/r6Tz/91Ff6fvm+8vkLFiyILFKkiNsCSGTsoyxV1LVrV699PQEAAABv5pW7AwAAAICUzLLSokWLIHWWFfVO22rVqsUdPnw4vG3btkE3btyI36Uq2SVWrlzpK1+uOp+XXnrJuG3btojOnTsHmReWZPHh448/9pOvpP5eWeiRRVhzSRkJzvnwww/95Cuh50dERDxVZhnwZp56b1LKkiVLov766y/tzp07LfdzGzZs0MuXrZ8ZP358jOz8TWg3vCvJwr0s6smXoz/Tv3//2OHDh8emh8+qLN5+/vnnUe3atQs07xKXxdThw4cHDB8+3ObPTZgwIaZmzZqG1atXO/z5dcXrllra0rhx46KlJIgErMhC7JAhQxItHSFt4rXXXot1NKODZOcwl4KRQDFZ/JYvWwEJy5cvj3z8+LF2zZo1XvM6eap9yeemUqVKcZJpQ/l9CUrr27dvrCf/tnbt2sV+8cUXvuagBmlvefPmdWoBu1GjRobFixf7OhrIYlajRg2jBMyoM1xVrFjRKIFQjv4N7uj/Dh8+rFu1apWv+RizZ8+2yt5liwToLFu2LEqyvUmQhoxHRo4cGTBy5MgEnz9v3rxId5Rj8UTflFquPZ68rniaZBqUoKK5c+daXvNDhw7pDh06ZPeFlj544cKFUT179nRrtOQ333xjee20Wq0EcBGwAgAAACQBGVYAAAAAVQaLqlWrJpplRZQvXz7u1KlTYWPGjIlR7sJ1hkxwJ0Z2PZ88eTKsU6dOBmV69OT+/g8++CDanJkgrfHUe5MS/P39NZs2bYp88803Y5TZd2wtuM2bNy9K3mt3nU9SXyfZJS8Ln5999plV2v+0/lmV8hjfffddRLZs2RJdxJVd88uXL496//33k/T+ueJ1Sw1tSdrBt99+Gzl06NCYxD5Lsri7ePFip9pEUFCQ5sCBA+G2MmYoSTDE1q1bI3r06JFqPq/uaF8DBw6MSeiz78jn3pVef/31GOX13Byk4WzASkKfK3UploSCOyQLi/r7DRo0MKbk+yMBVxLUZc7AJgFfiWUaUpKSTuvXr4/MmDGj3evUokWL3Bow4Im+KbVcezx5XfEkaXdz5syJXr16dWTBggUd+oxWqFAhbs+ePRGDBg1ya/CIBEkqg3ObN29uKFSoEOWAAAAAgCQgwwoAAADSBJnUlh2VZsr/T0qWlTZt2liyrMiufdlZX6ZMGassK0J2ScsO0LFjx0Zv3bpVv2/fPv3PP/+s++eff7QPHz7UynlkyJDBJF8ZM2Y05cmTx1S2bFmjLLSUL1/e6Giq8qJFi5q+/vrrSCnvsmnTJv3333+vv3nzpvaff/7xkUlz+d2yCCGLFfL7a9WqZaxTp44xJCTE5u+U3e6y6CRp4iWN+qlTp3S///67pLrXyu9UlhNSL+qoX29HAml0Op1Jp9Npzf/vyN+t+Dmb52KLO98b+dmknJOryGLgjBkzoqW8hmQP2LVrl17KQ4WHh2tz5coVJ+Wk2rRpEyvp/rNmzRr/Mz4+PiZn3jNH3+Pnn38+7vbt22FnzpzxOXv2rE4yEt28edNHXuNHjx5pJcuEvD7yOufLl09e27iXXnrJ0KJFC4P8HY7w5GfV3c8XLVu2NF6/fj1s2bJlvtu3b/e9cOGCj7xWgYGBppw5c5qKFy8e1759+1hlSZOkHCc5r1tK9HPJIcEB8+fPjx4xYkTMihUrfPfs2aO/e/euz4MHD7TSNxYpUiTu5ZdfNvTo0SNWXmNnf3+WLFk0sgi6e/du3dq1a32PHDmi++uvv3xk97+0OclgJOUg2rVrZzBnWXD2uuSKfiUlPydKUg5p2LBhAfLzZgMGDLBZKshdqlatGicBFgcOHIh/UaTNSYCDM8Gf8t5XqlTJKJ958/fkM6TOvJaQRo0aGXfv3m0199a4cWOnAiBc/f5I+RTpp+VzUqxYsTgJftQkIUDi8uXLYZL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      "text/plain": [
       "<Figure size 2250x1320 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "Hrs, purity, stages, mpsps = [], [], [], []\n",
    "for Hr in [0.30, 0.40, 0.50, 0.60, 0.65]:\n",
    "    D2.Hr = Hr\n",
    "    try:\n",
    "        sys.simulate()\n",
    "        Hrs.append(Hr)\n",
    "        purity.append(100*(D2-0).imass['Ethanol']/(D2-0).F_mass)\n",
    "        stages.append(D2.design_results['Actual stages'])\n",
    "        mpsps.append(tea.solve_price(H3-0))\n",
    "        print(f'Hr={Hr:.2f}  rectifier {purity[-1]:.1f} wt%  '\n",
    "              f'{stages[-1]:.0f} stages  MPSP ${mpsps[-1]:.3f}/kg')\n",
    "    except Exception as e:\n",
    "        print(f'Hr={Hr:.2f}  FAILED - azeotrope reached')\n",
    "\n",
    "fig, ax1 = plt.subplots(figsize=(7.5, 4.4))\n",
    "ax1.plot(purity, stages, 'o-', color='#0a66c2')\n",
    "ax1.set_xlabel('Rectifier distillate purity (wt% ethanol)')\n",
    "ax1.set_ylabel('Actual stages', color='#0a66c2')\n",
    "ax2 = ax1.twinx()\n",
    "ax2.plot(purity, mpsps, 's--', color='#c2410c')\n",
    "ax2.set_ylabel('MPSP (USD/kg)', color='#c2410c')\n",
    "ax1.set_title('Approaching the azeotrope gets expensive fast')\n",
    "ax1.grid(alpha=0.3)\n",
    "plt.tight_layout(); plt.show()\n",
    "\n",
    "D2.Hr = 0.50\n",
    "sys.simulate()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "## Things to try\n",
    "\n",
    "1. Weaken the beer: `Water=95000, Ethanol=5000`. Dilute feed is the central\n",
    "   economic problem in cellulosic ethanol — watch MPSP move.\n",
    "2. Disconnect the recycle (give MS a plain `'water_rich'` outlet instead) and\n",
    "   compare recovery.\n",
    "3. Change the sieve split to `Ethanol=0.95` and see how much the loop shrinks.\n",
    "4. Set `beer.price = 0` and re-solve MPSP to separate feedstock cost from\n",
    "   processing cost."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.14.6"
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 },
 "nbformat": 4,
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