optimization/linear_optimization_ted.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Introductory guide to Linear Optimization in Python"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import pulp\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import re\n",
    "import matplotlib.pyplot as plt\n",
    "from IPython.display import Image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
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       "      <th></th>\n",
       "      <th>comments</th>\n",
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       "      <th>0</th>\n",
       "      <td>4553</td>\n",
       "      <td>Sir Ken Robinson makes an entertaining and pro...</td>\n",
       "      <td>19.4</td>\n",
       "      <td>TED2006</td>\n",
       "      <td>1140825600</td>\n",
       "      <td>60</td>\n",
       "      <td>Ken Robinson</td>\n",
       "      <td>Ken Robinson: Do schools kill creativity?</td>\n",
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       "      <td>[{'id': 7, 'name': 'Funny', 'count': 19645}, {...</td>\n",
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       "      <td>Author/educator</td>\n",
       "      <td>['children', 'creativity', 'culture', 'dance',...</td>\n",
       "      <td>Do schools kill creativity?</td>\n",
       "      <td>https://www.ted.com/talks/ken_robinson_says_sc...</td>\n",
       "      <td>47227110</td>\n",
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       "      <th>1</th>\n",
       "      <td>265</td>\n",
       "      <td>With the same humor and humanity he exuded in ...</td>\n",
       "      <td>16.3</td>\n",
       "      <td>TED2006</td>\n",
       "      <td>1140825600</td>\n",
       "      <td>43</td>\n",
       "      <td>Al Gore</td>\n",
       "      <td>Al Gore: Averting the climate crisis</td>\n",
       "      <td>1</td>\n",
       "      <td>1151367060</td>\n",
       "      <td>[{'id': 7, 'name': 'Funny', 'count': 544}, {'i...</td>\n",
       "      <td>[{'id': 243, 'hero': 'https://pe.tedcdn.com/im...</td>\n",
       "      <td>Climate advocate</td>\n",
       "      <td>['alternative energy', 'cars', 'climate change...</td>\n",
       "      <td>Averting the climate crisis</td>\n",
       "      <td>https://www.ted.com/talks/al_gore_on_averting_...</td>\n",
       "      <td>3200520</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>124</td>\n",
       "      <td>New York Times columnist David Pogue takes aim...</td>\n",
       "      <td>21.4</td>\n",
       "      <td>TED2006</td>\n",
       "      <td>1140739200</td>\n",
       "      <td>26</td>\n",
       "      <td>David Pogue</td>\n",
       "      <td>David Pogue: Simplicity sells</td>\n",
       "      <td>1</td>\n",
       "      <td>1151367060</td>\n",
       "      <td>[{'id': 7, 'name': 'Funny', 'count': 964}, {'i...</td>\n",
       "      <td>[{'id': 1725, 'hero': 'https://pe.tedcdn.com/i...</td>\n",
       "      <td>Technology columnist</td>\n",
       "      <td>['computers', 'entertainment', 'interface desi...</td>\n",
       "      <td>Simplicity sells</td>\n",
       "      <td>https://www.ted.com/talks/david_pogue_says_sim...</td>\n",
       "      <td>1636292</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>200</td>\n",
       "      <td>In an emotionally charged talk, MacArthur-winn...</td>\n",
       "      <td>18.6</td>\n",
       "      <td>TED2006</td>\n",
       "      <td>1140912000</td>\n",
       "      <td>35</td>\n",
       "      <td>Majora Carter</td>\n",
       "      <td>Majora Carter: Greening the ghetto</td>\n",
       "      <td>1</td>\n",
       "      <td>1151367060</td>\n",
       "      <td>[{'id': 3, 'name': 'Courageous', 'count': 760}...</td>\n",
       "      <td>[{'id': 1041, 'hero': 'https://pe.tedcdn.com/i...</td>\n",
       "      <td>Activist for environmental justice</td>\n",
       "      <td>['MacArthur grant', 'activism', 'business', 'c...</td>\n",
       "      <td>Greening the ghetto</td>\n",
       "      <td>https://www.ted.com/talks/majora_carter_s_tale...</td>\n",
       "      <td>1697550</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>593</td>\n",
       "      <td>You've never seen data presented like this. Wi...</td>\n",
       "      <td>19.8</td>\n",
       "      <td>TED2006</td>\n",
       "      <td>1140566400</td>\n",
       "      <td>48</td>\n",
       "      <td>Hans Rosling</td>\n",
       "      <td>Hans Rosling: The best stats you've ever seen</td>\n",
       "      <td>1</td>\n",
       "      <td>1151440680</td>\n",
       "      <td>[{'id': 9, 'name': 'Ingenious', 'count': 3202}...</td>\n",
       "      <td>[{'id': 2056, 'hero': 'https://pe.tedcdn.com/i...</td>\n",
       "      <td>Global health expert; data visionary</td>\n",
       "      <td>['Africa', 'Asia', 'Google', 'demo', 'economic...</td>\n",
       "      <td>The best stats you've ever seen</td>\n",
       "      <td>https://www.ted.com/talks/hans_rosling_shows_t...</td>\n",
       "      <td>12005869</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
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       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
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       "    <tr>\n",
       "      <th>2545</th>\n",
       "      <td>17</td>\n",
       "      <td>Between 2008 and 2016, the United States depor...</td>\n",
       "      <td>7.9</td>\n",
       "      <td>TED2017</td>\n",
       "      <td>1496707200</td>\n",
       "      <td>4</td>\n",
       "      <td>Duarte Geraldino</td>\n",
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       "      <td>1</td>\n",
       "      <td>1505851216</td>\n",
       "      <td>[{'id': 3, 'name': 'Courageous', 'count': 24},...</td>\n",
       "      <td>[{'id': 2596, 'hero': 'https://pe.tedcdn.com/i...</td>\n",
       "      <td>Journalist</td>\n",
       "      <td>['TED Residency', 'United States', 'community'...</td>\n",
       "      <td>What we're missing in the debate about immigra...</td>\n",
       "      <td>https://www.ted.com/talks/duarte_geraldino_wha...</td>\n",
       "      <td>450430</td>\n",
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       "      <th>2546</th>\n",
       "      <td>6</td>\n",
       "      <td>How can you study Mars without a spaceship? He...</td>\n",
       "      <td>4.8</td>\n",
       "      <td>TED2017</td>\n",
       "      <td>1492992000</td>\n",
       "      <td>3</td>\n",
       "      <td>Armando Azua-Bustos</td>\n",
       "      <td>Armando Azua-Bustos: The most Martian place on...</td>\n",
       "      <td>1</td>\n",
       "      <td>1505919737</td>\n",
       "      <td>[{'id': 22, 'name': 'Fascinating', 'count': 32...</td>\n",
       "      <td>[{'id': 2491, 'hero': 'https://pe.tedcdn.com/i...</td>\n",
       "      <td>Astrobiologist</td>\n",
       "      <td>['Mars', 'South America', 'TED Fellows', 'astr...</td>\n",
       "      <td>The most Martian place on Earth</td>\n",
       "      <td>https://www.ted.com/talks/armando_azua_bustos_...</td>\n",
       "      <td>417470</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2547</th>\n",
       "      <td>10</td>\n",
       "      <td>Science fiction visions of the future show us ...</td>\n",
       "      <td>10.8</td>\n",
       "      <td>TED2017</td>\n",
       "      <td>1492992000</td>\n",
       "      <td>1</td>\n",
       "      <td>Radhika Nagpal</td>\n",
       "      <td>Radhika Nagpal: What intelligent machines can ...</td>\n",
       "      <td>1</td>\n",
       "      <td>1506006095</td>\n",
       "      <td>[{'id': 1, 'name': 'Beautiful', 'count': 14}, ...</td>\n",
       "      <td>[{'id': 2346, 'hero': 'https://pe.tedcdn.com/i...</td>\n",
       "      <td>Robotics engineer</td>\n",
       "      <td>['AI', 'ants', 'fish', 'future', 'innovation',...</td>\n",
       "      <td>What intelligent machines can learn from a sch...</td>\n",
       "      <td>https://www.ted.com/talks/radhika_nagpal_what_...</td>\n",
       "      <td>375647</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2548</th>\n",
       "      <td>32</td>\n",
       "      <td>In an unmissable talk about race and politics ...</td>\n",
       "      <td>18.3</td>\n",
       "      <td>TEDxMileHigh</td>\n",
       "      <td>1499472000</td>\n",
       "      <td>1</td>\n",
       "      <td>Theo E.J. Wilson</td>\n",
       "      <td>Theo E.J. Wilson: A black man goes undercover ...</td>\n",
       "      <td>1</td>\n",
       "      <td>1506024042</td>\n",
       "      <td>[{'id': 11, 'name': 'Longwinded', 'count': 3},...</td>\n",
       "      <td>[{'id': 2512, 'hero': 'https://pe.tedcdn.com/i...</td>\n",
       "      <td>Public intellectual</td>\n",
       "      <td>['Internet', 'TEDx', 'United States', 'communi...</td>\n",
       "      <td>A black man goes undercover in the alt-right</td>\n",
       "      <td>https://www.ted.com/talks/theo_e_j_wilson_a_bl...</td>\n",
       "      <td>419309</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2549</th>\n",
       "      <td>8</td>\n",
       "      <td>With more than half of the world population li...</td>\n",
       "      <td>8.6</td>\n",
       "      <td>TED2017</td>\n",
       "      <td>1492992000</td>\n",
       "      <td>1</td>\n",
       "      <td>Karoliina Korppoo</td>\n",
       "      <td>Karoliina Korppoo: How a video game might help...</td>\n",
       "      <td>1</td>\n",
       "      <td>1506092422</td>\n",
       "      <td>[{'id': 21, 'name': 'Unconvincing', 'count': 2...</td>\n",
       "      <td>[{'id': 2682, 'hero': 'https://pe.tedcdn.com/i...</td>\n",
       "      <td>Game designer</td>\n",
       "      <td>['cities', 'design', 'future', 'infrastructure...</td>\n",
       "      <td>How a video game might help us build better ci...</td>\n",
       "      <td>https://www.ted.com/talks/karoliina_korppoo_ho...</td>\n",
       "      <td>391721</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>2550 rows × 17 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "      comments                                        description  duration  \\\n",
       "0         4553  Sir Ken Robinson makes an entertaining and pro...      19.4   \n",
       "1          265  With the same humor and humanity he exuded in ...      16.3   \n",
       "2          124  New York Times columnist David Pogue takes aim...      21.4   \n",
       "3          200  In an emotionally charged talk, MacArthur-winn...      18.6   \n",
       "4          593  You've never seen data presented like this. Wi...      19.8   \n",
       "...        ...                                                ...       ...   \n",
       "2545        17  Between 2008 and 2016, the United States depor...       7.9   \n",
       "2546         6  How can you study Mars without a spaceship? He...       4.8   \n",
       "2547        10  Science fiction visions of the future show us ...      10.8   \n",
       "2548        32  In an unmissable talk about race and politics ...      18.3   \n",
       "2549         8  With more than half of the world population li...       8.6   \n",
       "\n",
       "             event   film_date  languages         main_speaker  \\\n",
       "0          TED2006  1140825600         60         Ken Robinson   \n",
       "1          TED2006  1140825600         43              Al Gore   \n",
       "2          TED2006  1140739200         26          David Pogue   \n",
       "3          TED2006  1140912000         35        Majora Carter   \n",
       "4          TED2006  1140566400         48         Hans Rosling   \n",
       "...            ...         ...        ...                  ...   \n",
       "2545       TED2017  1496707200          4     Duarte Geraldino   \n",
       "2546       TED2017  1492992000          3  Armando Azua-Bustos   \n",
       "2547       TED2017  1492992000          1       Radhika Nagpal   \n",
       "2548  TEDxMileHigh  1499472000          1     Theo E.J. Wilson   \n",
       "2549       TED2017  1492992000          1    Karoliina Korppoo   \n",
       "\n",
       "                                                   name  num_speaker  \\\n",
       "0             Ken Robinson: Do schools kill creativity?            1   \n",
       "1                  Al Gore: Averting the climate crisis            1   \n",
       "2                         David Pogue: Simplicity sells            1   \n",
       "3                    Majora Carter: Greening the ghetto            1   \n",
       "4         Hans Rosling: The best stats you've ever seen            1   \n",
       "...                                                 ...          ...   \n",
       "2545  Duarte Geraldino: What we're missing in the de...            1   \n",
       "2546  Armando Azua-Bustos: The most Martian place on...            1   \n",
       "2547  Radhika Nagpal: What intelligent machines can ...            1   \n",
       "2548  Theo E.J. Wilson: A black man goes undercover ...            1   \n",
       "2549  Karoliina Korppoo: How a video game might help...            1   \n",
       "\n",
       "      published_date                                            ratings  \\\n",
       "0         1151367060  [{'id': 7, 'name': 'Funny', 'count': 19645}, {...   \n",
       "1         1151367060  [{'id': 7, 'name': 'Funny', 'count': 544}, {'i...   \n",
       "2         1151367060  [{'id': 7, 'name': 'Funny', 'count': 964}, {'i...   \n",
       "3         1151367060  [{'id': 3, 'name': 'Courageous', 'count': 760}...   \n",
       "4         1151440680  [{'id': 9, 'name': 'Ingenious', 'count': 3202}...   \n",
       "...              ...                                                ...   \n",
       "2545      1505851216  [{'id': 3, 'name': 'Courageous', 'count': 24},...   \n",
       "2546      1505919737  [{'id': 22, 'name': 'Fascinating', 'count': 32...   \n",
       "2547      1506006095  [{'id': 1, 'name': 'Beautiful', 'count': 14}, ...   \n",
       "2548      1506024042  [{'id': 11, 'name': 'Longwinded', 'count': 3},...   \n",
       "2549      1506092422  [{'id': 21, 'name': 'Unconvincing', 'count': 2...   \n",
       "\n",
       "                                          related_talks  \\\n",
       "0     [{'id': 865, 'hero': 'https://pe.tedcdn.com/im...   \n",
       "1     [{'id': 243, 'hero': 'https://pe.tedcdn.com/im...   \n",
       "2     [{'id': 1725, 'hero': 'https://pe.tedcdn.com/i...   \n",
       "3     [{'id': 1041, 'hero': 'https://pe.tedcdn.com/i...   \n",
       "4     [{'id': 2056, 'hero': 'https://pe.tedcdn.com/i...   \n",
       "...                                                 ...   \n",
       "2545  [{'id': 2596, 'hero': 'https://pe.tedcdn.com/i...   \n",
       "2546  [{'id': 2491, 'hero': 'https://pe.tedcdn.com/i...   \n",
       "2547  [{'id': 2346, 'hero': 'https://pe.tedcdn.com/i...   \n",
       "2548  [{'id': 2512, 'hero': 'https://pe.tedcdn.com/i...   \n",
       "2549  [{'id': 2682, 'hero': 'https://pe.tedcdn.com/i...   \n",
       "\n",
       "                        speaker_occupation  \\\n",
       "0                          Author/educator   \n",
       "1                         Climate advocate   \n",
       "2                     Technology columnist   \n",
       "3       Activist for environmental justice   \n",
       "4     Global health expert; data visionary   \n",
       "...                                    ...   \n",
       "2545                            Journalist   \n",
       "2546                        Astrobiologist   \n",
       "2547                     Robotics engineer   \n",
       "2548                   Public intellectual   \n",
       "2549                         Game designer   \n",
       "\n",
       "                                                   tags  \\\n",
       "0     ['children', 'creativity', 'culture', 'dance',...   \n",
       "1     ['alternative energy', 'cars', 'climate change...   \n",
       "2     ['computers', 'entertainment', 'interface desi...   \n",
       "3     ['MacArthur grant', 'activism', 'business', 'c...   \n",
       "4     ['Africa', 'Asia', 'Google', 'demo', 'economic...   \n",
       "...                                                 ...   \n",
       "2545  ['TED Residency', 'United States', 'community'...   \n",
       "2546  ['Mars', 'South America', 'TED Fellows', 'astr...   \n",
       "2547  ['AI', 'ants', 'fish', 'future', 'innovation',...   \n",
       "2548  ['Internet', 'TEDx', 'United States', 'communi...   \n",
       "2549  ['cities', 'design', 'future', 'infrastructure...   \n",
       "\n",
       "                                                  title  \\\n",
       "0                           Do schools kill creativity?   \n",
       "1                           Averting the climate crisis   \n",
       "2                                      Simplicity sells   \n",
       "3                                   Greening the ghetto   \n",
       "4                       The best stats you've ever seen   \n",
       "...                                                 ...   \n",
       "2545  What we're missing in the debate about immigra...   \n",
       "2546                    The most Martian place on Earth   \n",
       "2547  What intelligent machines can learn from a sch...   \n",
       "2548       A black man goes undercover in the alt-right   \n",
       "2549  How a video game might help us build better ci...   \n",
       "\n",
       "                                                    url     views  \n",
       "0     https://www.ted.com/talks/ken_robinson_says_sc...  47227110  \n",
       "1     https://www.ted.com/talks/al_gore_on_averting_...   3200520  \n",
       "2     https://www.ted.com/talks/david_pogue_says_sim...   1636292  \n",
       "3     https://www.ted.com/talks/majora_carter_s_tale...   1697550  \n",
       "4     https://www.ted.com/talks/hans_rosling_shows_t...  12005869  \n",
       "...                                                 ...       ...  \n",
       "2545  https://www.ted.com/talks/duarte_geraldino_wha...    450430  \n",
       "2546  https://www.ted.com/talks/armando_azua_bustos_...    417470  \n",
       "2547  https://www.ted.com/talks/radhika_nagpal_what_...    375647  \n",
       "2548  https://www.ted.com/talks/theo_e_j_wilson_a_bl...    419309  \n",
       "2549  https://www.ted.com/talks/karoliina_korppoo_ho...    391721  \n",
       "\n",
       "[2550 rows x 17 columns]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ted_df = pd.read_csv('ted_main.csv', encoding='ISO-8859-1')\n",
    "ted_df['duration'] = ted_df['duration'] / 60\n",
    "ted_df['duration'] = ted_df['duration'].round(1)\n",
    "\n",
    "ted_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# set up as a maximization problem --> since we want to maximize the number of TED talks to watch\n",
    "prob = pulp.LpProblem('WatchingTEDTalks', pulp.LpMaximize)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Total number of decision variables: 2550\n"
     ]
    }
   ],
   "source": [
    "# create decision - yes or no to watch the talk?\n",
    "decision_variables = []\n",
    "for rownum, row in ted_df.iterrows():\n",
    "    # variable = set('x' + str(rownum))\n",
    "    variable = str('x' + str(rownum))\n",
    "    variable = pulp.LpVariable(str(variable), lowBound = 0, upBound = 1, cat = 'Integer') # make variable binary\n",
    "    decision_variables.append(variable)\n",
    "    \n",
    "print('Total number of decision variables: ' + str(len(decision_variables)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
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     ]
    }
   ],
   "source": [
    "# Create optimization Function\n",
    "total_views = ''\n",
    "for rownum, row in ted_df.iterrows():\n",
    "    for i, talk in enumerate(decision_variables):\n",
    "        if rownum == i:\n",
    "            formula = row['views'] * talk\n",
    "            total_views += formula\n",
    "            \n",
    "prob += total_views\n",
    "print('Optimization function: ' + str(total_views))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Contraints\n",
    "total_time_available_for_talks = 10*60 # Total time available is 10 hours . Converted to minutes\n",
    "total_talks_can_watch = 25 # Don't want an overload information"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create Constraint 1 - Time for talks\n",
    "total_time_talks = ''\n",
    "for rownum, row in ted_df.iterrows():\n",
    "    for i,  talk in enumerate(decision_variables):\n",
    "        if rownum == i:\n",
    "            formula = row['duration']*talk\n",
    "            total_time_talks += formula\n",
    "            \n",
    "prob += (total_time_talks == total_time_available_for_talks)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Create Constraint 2 - Number of talks\n",
    "total_talks = ''\n",
    "\n",
    "for rownum, row in ted_df.iterrows():\n",
    "    for i, talk in enumerate(decision_variables):\n",
    "        if rownum == i:\n",
    "            formula = talk\n",
    "            total_talks += formula\n",
    "            \n",
    "prob += (total_talks == total_talks_can_watch)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "WatchingTEDTalks:\n",
      "MAXIMIZE\n",
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1409327*x57 + 297107*x570 + 483137*x571 + 639995*x572 + 541603*x573 + 2066733*x574 + 553253*x575 + 819664*x576 + 497172*x577 + 706235*x578 + 415223*x579 + 3051507*x58 + 393459*x580 + 154698*x581 + 778978*x582 + 1939385*x583 + 1780196*x584 + 3157446*x585 + 397719*x586 + 652315*x587 + 564781*x588 + 572845*x589 + 978825*x59 + 149818*x590 + 415566*x591 + 1417163*x592 + 359942*x593 + 50443*x594 + 1055904*x595 + 15601385*x596 + 437800*x597 + 1705132*x598 + 556163*x599 + 3769987*x6 + 442553*x60 + 318423*x600 + 676741*x601 + 761716*x602 + 717531*x603 + 1224278*x604 + 702550*x605 + 2835976*x606 + 1406151*x607 + 495585*x608 + 528451*x609 + 691814*x61 + 496827*x610 + 696319*x611 + 433879*x612 + 741625*x613 + 7638978*x614 + 1718568*x615 + 656762*x616 + 2054164*x617 + 4329332*x618 + 540897*x619 + 2441805*x62 + 610454*x620 + 710710*x621 + 4375111*x622 + 840223*x623 + 674090*x624 + 3302312*x625 + 3841631*x626 + 567000*x627 + 654080*x628 + 521974*x629 + 849859*x63 + 1890066*x630 + 2797058*x631 + 971594*x632 + 680486*x633 + 575346*x634 + 1974007*x635 + 1022426*x636 + 757791*x637 + 708408*x638 + 384626*x639 + 1335732*x64 + 473220*x640 + 4573252*x641 + 719238*x642 + 733293*x643 + 3433437*x644 + 320717*x645 + 876649*x646 + 622046*x647 + 1163387*x648 + 176995*x649 + 1262674*x65 + 857400*x650 + 940686*x651 + 684929*x652 + 6475731*x653 + 4782854*x654 + 449161*x655 + 1222800*x656 + 523422*x657 + 1922563*x658 + 403708*x659 + 1663001*x66 + 860139*x660 + 1838628*x661 + 1209663*x662 + 766536*x663 + 524790*x664 + 399280*x665 + 579754*x666 + 2611707*x667 + 295059*x668 + 3917039*x669 + 5570544*x67 + 538014*x670 + 473956*x671 + 1542898*x672 + 642744*x673 + 619489*x674 + 2212944*x675 + 876307*x676 + 34309432*x677 + 612260*x678 + 649531*x679 + 1520908*x68 + 577356*x680 + 1324929*x681 + 851719*x682 + 316507*x683 + 2465179*x684 + 3362099*x685 + 1028630*x686 + 4149065*x687 + 2108816*x688 + 358820*x689 + 2138907*x69 + 603657*x690 + 1086357*x691 + 7266316*x692 + 1033272*x693 + 1057238*x694 + 541076*x695 + 518461*x696 + 389961*x697 + 1514014*x698 + 1426130*x699 + 967741*x7 + 680134*x70 + 1451649*x700 + 1616851*x701 + 1059130*x702 + 1160672*x703 + 327406*x704 + 1056987*x705 + 1294171*x706 + 1231159*x707 + 2428958*x708 + 777079*x709 + 690928*x71 + 428470*x710 + 1579033*x711 + 587639*x712 + 2785058*x713 + 629753*x714 + 772299*x715 + 957087*x716 + 1014201*x717 + 954924*x718 + 668454*x719 + 1762302*x72 + 362741*x720 + 1678493*x721 + 1332785*x722 + 1212079*x723 + 664485*x724 + 426610*x725 + 2934262*x726 + 594725*x727 + 2156157*x728 + 694714*x729 + 1392010*x73 + 1763449*x730 + 2278271*x731 + 819361*x732 + 1123482*x733 + 2468906*x734 + 486269*x735 + 3087856*x736 + 220099*x737 + 659664*x738 + 332099*x739 + 660909*x74 + 1236817*x740 + 1029186*x741 + 431548*x742 + 1049847*x743 + 292395*x744 + 734490*x745 + 799855*x746 + 4646183*x747 + 816019*x748 + 2581998*x749 + 867495*x75 + 592082*x750 + 544047*x751 + 479113*x752 + 452632*x753 + 1373377*x754 + 1597719*x755 + 924806*x756 + 800001*x757 + 4657799*x758 + 1424250*x759 + 395769*x76 + 2528934*x760 + 427590*x761 + 343532*x762 + 497710*x763 + 955329*x764 + 547649*x765 + 1306536*x766 + 2244295*x767 + 568761*x768 + 649740*x769 + 761930*x77 + 1157394*x770 + 3951683*x771 + 235221*x772 + 484254*x773 + 875821*x774 + 1147609*x775 + 112321*x776 + 865560*x777 + 942928*x778 + 343349*x779 + 1149090*x78 + 1059098*x780 + 1097901*x781 + 899942*x782 + 334820*x783 + 738895*x784 + 3450119*x785 + 1075196*x786 + 1189754*x787 + 317127*x788 + 414028*x789 + 762264*x79 + 1876053*x790 + 278672*x791 + 1359611*x792 + 1342475*x793 + 688861*x794 + 759736*x795 + 621361*x796 + 622593*x797 + 954049*x798 + 556032*x799 + 2567958*x8 + 1920434*x80 + 368770*x800 + 829399*x801 + 1021573*x802 + 543551*x803 + 454323*x804 + 611081*x805 + 1231423*x806 + 943245*x807 + 307628*x808 + 1347633*x809 + 560904*x81 + 586814*x810 + 1154719*x811 + 1499219*x812 + 2012387*x813 + 539950*x814 + 960523*x815 + 349168*x816 + 452578*x817 + 505716*x818 + 4908787*x819 + 606311*x82 + 1112351*x820 + 2152734*x821 + 1828181*x822 + 1393541*x823 + 532619*x824 + 833901*x825 + 588691*x826 + 2235818*x827 + 849372*x828 + 851862*x829 + 2197377*x83 + 1882742*x830 + 2108409*x831 + 1125092*x832 + 1854997*x833 + 858303*x834 + 7431179*x835 + 702793*x836 + 31168150*x837 + 948622*x838 + 4241096*x839 + 1697185*x84 + 1847256*x840 + 1231800*x841 + 892492*x842 + 2859644*x843 + 667218*x844 + 1475333*x845 + 1301834*x846 + 1208946*x847 + 953587*x848 + 900395*x849 + 1115081*x85 + 521502*x850 + 462012*x851 + 463366*x852 + 757335*x853 + 2327025*x854 + 497626*x855 + 1300622*x856 + 399314*x857 + 465856*x858 + 316975*x859 + 591379*x86 + 724865*x860 + 1272294*x861 + 2434842*x862 + 599444*x863 + 3813685*x864 + 1064574*x865 + 348647*x866 + 1740568*x867 + 1917442*x868 + 694181*x869 + 398713*x87 + 2513242*x870 + 861056*x871 + 710327*x872 + 729867*x873 + 880598*x874 + 620073*x875 + 439180*x876 + 420269*x877 + 746852*x878 + 922923*x879 + 2676717*x88 + 2626483*x880 + 914212*x881 + 1866264*x882 + 2783715*x883 + 953671*x884 + 4609857*x885 + 2475423*x886 + 596776*x887 + 1132752*x888 + 1119772*x889 + 4165572*x89 + 2178952*x890 + 562653*x891 + 10529854*x892 + 2391977*x893 + 710619*x894 + 1226731*x895 + 1370710*x896 + 400082*x897 + 1624741*x898 + 1349028*x899 + 3095993*x9 + 1426390*x90 + 1530711*x900 + 2442977*x901 + 3421371*x902 + 856326*x903 + 2467385*x904 + 893343*x905 + 2049103*x906 + 943624*x907 + 2030154*x908 + 656851*x909 + 754700*x91 + 7481004*x910 + 1612925*x911 + 1104345*x912 + 1479352*x913 + 620231*x914 + 1531265*x915 + 3976339*x916 + 1394203*x917 + 537035*x918 + 6636475*x919 + 643078*x92 + 1021180*x920 + 744089*x921 + 862689*x922 + 1507048*x923 + 1367702*x924 + 4039403*x925 + 820976*x926 + 657251*x927 + 1218882*x928 + 1549458*x929 + 513672*x93 + 1885751*x930 + 2004519*x931 + 747979*x932 + 4653286*x933 + 612377*x934 + 846544*x935 + 931567*x936 + 1586547*x937 + 1778606*x938 + 1215549*x939 + 428351*x94 + 6263759*x940 + 357454*x941 + 1474192*x942 + 509375*x943 + 650274*x944 + 1113407*x945 + 769926*x946 + 251313*x947 + 703439*x948 + 1670894*x949 + 616385*x95 + 1272198*x950 + 1202928*x951 + 681873*x952 + 2442996*x953 + 1832930*x954 + 461382*x955 + 1071132*x956 + 1621707*x957 + 869847*x958 + 1486880*x959 + 4374792*x96 + 602203*x960 + 938456*x961 + 788065*x962 + 929077*x963 + 800056*x964 + 1751030*x965 + 727487*x966 + 909194*x967 + 1637656*x968 + 525446*x969 + 609087*x97 + 1190085*x970 + 534289*x971 + 704205*x972 + 8838874*x973 + 1396197*x974 + 938976*x975 + 690977*x976 + 490275*x977 + 735708*x978 + 703559*x979 + 443180*x98 + 1734555*x980 + 498409*x981 + 1660801*x982 + 2462734*x983 + 3688975*x984 + 6264902*x985 + 659276*x986 + 1435933*x987 + 1948949*x988 + 812508*x989 + 904520*x99 + 5402228*x990 + 1134961*x991 + 2500389*x992 + 1421357*x993 + 551041*x994 + 2190746*x995 + 1349669*x996 + 984738*x997 + 393695*x998 + 842057*x999 + 0\n",
      "SUBJECT TO\n",
      "_C1: 19.4 x0 + 16.3 x1 + 23.6 x10 + 5.2 x100 + 4.4 x1000 + 5.1 x1001\n",
      " + 5.6 x1002 + 17 x1003 + 10.8 x1004 + 6.1 x1005 + 14 x1006 + 16.2 x1007\n",
      " + 14 x1008 + 15.2 x1009 + 20.6 x101 + 4.5 x1010 + 18.8 x1011 + 18.6 x1012\n",
      " + 9.1 x1013 + 11 x1014 + 13.2 x1015 + 19.6 x1016 + 20.3 x1017 + 14.1 x1018\n",
      " + 4.3 x1019 + 4.6 x102 + 13 x1020 + 5.8 x1021 + 18.5 x1022 + 6.3 x1023\n",
      " + 8.6 x1024 + 14.3 x1025 + 5.9 x1026 + 17.2 x1027 + 18.8 x1028 + 5.8 x1029\n",
      " + 19.7 x103 + 15.1 x1030 + 11 x1031 + 19.6 x1032 + 18.5 x1033 + 17.2 x1034\n",
      " + 5.7 x1035 + 18.8 x1036 + 7.5 x1037 + 19.1 x1038 + 12.8 x1039 + 17 x104\n",
      " + 9.4 x1040 + 18.8 x1041 + 4.3 x1042 + 16.9 x1043 + 11.8 x1044 + 15 x1045\n",
      " + 12.8 x1046 + 18.2 x1047 + 14.5 x1048 + 16.6 x1049 + 3.1 x105 + 9.6 x1050\n",
      " + 20 x1051 + 5.7 x1052 + 16.9 x1053 + 15.7 x1054 + 14.6 x1055 + 7.8 x1056\n",
      " + 12.3 x1057 + 15.4 x1058 + 12.1 x1059 + 20.2 x106 + 15.6 x1060 + 16.4 x1061\n",
      " + 9.6 x1062 + 14.8 x1063 + 4.7 x1064 + 16.4 x1065 + 8.6 x1066 + 16.3 x1067\n",
      " + 12.8 x1068 + 14.3 x1069 + 16.7 x107 + 5.3 x1070 + 3.8 x1071 + 7.9 x1072\n",
      " + 9.7 x1073 + 3.8 x1074 + 16.8 x1075 + 11.3 x1076 + 16 x1077 + 16.8 x1078\n",
      " + 11.4 x1079 + 7.5 x108 + 12.2 x1080 + 12 x1081 + 16.6 x1082 + 14.5 x1083\n",
      " + 16.2 x1084 + 13.2 x1085 + 8.5 x1086 + 13 x1087 + 4.7 x1088 + 16.1 x1089\n",
      " + 17.9 x109 + 16.5 x1090 + 9.6 x1091 + 11.2 x1092 + 18.8 x1093 + 18.1 x1094\n",
      " + 18.7 x1095 + 10 x1096 + 16 x1097 + 12.7 x1098 + 19 x1099 + 25.6 x11\n",
      " + 20.2 x110 + 8.7 x1100 + 11.3 x1101 + 18.5 x1102 + 7.6 x1103 + 10.5 x1104\n",
      " + 9.7 x1105 + 16 x1106 + 16.3 x1107 + 15 x1108 + 9.1 x1109 + 4.6 x111\n",
      " + 5.5 x1110 + 10 x1111 + 13.6 x1112 + 3.6 x1113 + 19.3 x1114 + 9.4 x1115\n",
      " + 14 x1116 + 16.1 x1117 + 9.7 x1118 + 14.5 x1119 + 12.1 x112 + 12 x1120\n",
      " + 14.8 x1121 + 17 x1122 + 19.5 x1123 + 13.3 x1124 + 22.2 x1125 + 12.1 x1126\n",
      " + 17.2 x1127 + 15.6 x1128 + 12.3 x1129 + 24.6 x113 + 11.4 x1130 + 19.2 x1131\n",
      " + 18.2 x1132 + 9.9 x1133 + 18.2 x1134 + 9 x1135 + 17.5 x1136 + 10.9 x1137\n",
      " + 18.4 x1138 + 6.4 x1139 + 23.4 x114 + 6.2 x1140 + 18.6 x1141 + 17.8 x1142\n",
      " + 11.3 x1143 + 3.3 x1144 + 6.2 x1145 + 16.8 x1146 + 11 x1147 + 17.7 x1148\n",
      " + 11.2 x1149 + 3.6 x115 + 19.6 x1150 + 16 x1151 + 7.6 x1152 + 17.8 x1153\n",
      " + 12.3 x1154 + 16.9 x1155 + 20.9 x1156 + 7.3 x1157 + 16.8 x1158 + 9 x1159\n",
      " + 6.2 x116 + 16.2 x1160 + 16.8 x1161 + 16.8 x1162 + 19.1 x1163 + 23.7 x1164\n",
      " + 19.3 x1165 + 17.8 x1166 + 12.2 x1167 + 3.8 x1168 + 15.9 x1169 + 19 x117\n",
      " + 15.2 x1170 + 6.3 x1171 + 12.1 x1172 + 8.5 x1173 + 7.5 x1174 + 18.3 x1175\n",
      " + 5.2 x1176 + 20.6 x1177 + 11 x1178 + 19.8 x1179 + 17.7 x118 + 19.7 x1180\n",
      " + 16 x1181 + 3.5 x1182 + 15.2 x1183 + 17.4 x1184 + 13.3 x1185 + 15.2 x1186\n",
      " + 25 x1187 + 14.6 x1188 + 5.4 x1189 + 15.4 x119 + 6.5 x1190 + 5.6 x1191\n",
      " + 18.3 x1192 + 6 x1193 + 19.8 x1194 + 17.3 x1195 + 6.6 x1196 + 4 x1197\n",
      " + 5.1 x1198 + 17.8 x1199 + 25.8 x12 + 19.4 x120 + 11.4 x1200 + 16.9 x1201\n",
      " + 25.4 x1202 + 13.2 x1203 + 6.6 x1204 + 19.3 x1205 + 6.7 x1206 + 18 x1207\n",
      " + 11.6 x1208 + 5.5 x1209 + 17.2 x121 + 21.8 x1210 + 11 x1211 + 5.5 x1212\n",
      " + 12.4 x1213 + 5.4 x1214 + 4.5 x1215 + 9.4 x1216 + 12.1 x1217 + 27.2 x1218\n",
      " + 9 x1219 + 15.6 x122 + 6.6 x1220 + 18.4 x1221 + 7.5 x1222 + 18.1 x1223\n",
      " + 20.2 x1224 + 8.1 x1225 + 10.1 x1226 + 20.5 x1227 + 4.1 x1228 + 12.8 x1229\n",
      " + 16.6 x123 + 10.3 x1230 + 17.7 x1231 + 4.4 x1232 + 11.8 x1233 + 4.9 x1234\n",
      " + 6.5 x1235 + 7.8 x1236 + 11.6 x1237 + 7.2 x1238 + 13.3 x1239 + 9.2 x124\n",
      " + 19.1 x1240 + 15.5 x1241 + 9.7 x1242 + 18.6 x1243 + 17.2 x1244 + 14.9 x1245\n",
      " + 14.5 x1246 + 12.4 x1247 + 12.4 x1248 + 18.7 x1249 + 9.8 x125 + 17 x1250\n",
      " + 16.8 x1251 + 11.3 x1252 + 4 x1253 + 3 x1254 + 6.4 x1255 + 19.7 x1256\n",
      " + 22 x1257 + 16.6 x1258 + 13.2 x1259 + 4.8 x126 + 5.3 x1260 + 17.8 x1261\n",
      " + 18.3 x1262 + 10.5 x1263 + 18.3 x1264 + 10.4 x1265 + 6.1 x1266 + 6.2 x1267\n",
      " + 11.6 x1268 + 7.9 x1269 + 17.8 x127 + 15.2 x1270 + 14.9 x1271 + 10.8 x1272\n",
      " + 15.8 x1273 + 17.8 x1274 + 14.9 x1275 + 10.4 x1276 + 6.4 x1277 + 11 x1278\n",
      " + 14.5 x1279 + 22.2 x128 + 16.8 x1280 + 19.5 x1281 + 14.4 x1282 + 10.8 x1283\n",
      " + 19.4 x1284 + 10 x1285 + 15.8 x1286 + 4.8 x1287 + 16.3 x1288 + 12.2 x1289\n",
      " + 4.2 x129 + 9.8 x1290 + 8.1 x1291 + 9.6 x1292 + 12.2 x1293 + 14.1 x1294\n",
      " + 16.7 x1295 + 9.9 x1296 + 14.4 x1297 + 11 x1298 + 11.1 x1299 + 8.8 x13\n",
      " + 19 x130 + 12.7 x1300 + 11.8 x1301 + 18.8 x1302 + 14 x1303 + 20.7 x1304\n",
      " + 9.8 x1305 + 16.8 x1306 + 10 x1307 + 15.8 x1308 + 12.9 x1309 + 17.5 x131\n",
      " + 6.1 x1310 + 13.4 x1311 + 9.7 x1312 + 19.4 x1313 + 7.1 x1314 + 14.1 x1315\n",
      " + 9.4 x1316 + 18 x1317 + 11.1 x1318 + 16.4 x1319 + 17.6 x132 + 12.5 x1320\n",
      " + 12.2 x1321 + 15.9 x1322 + 14.8 x1323 + 16.7 x1324 + 20.8 x1325 + 12.4 x1326\n",
      " + 14.4 x1327 + 15 x1328 + 15.3 x1329 + 18.4 x133 + 17.4 x1330 + 14.2 x1331\n",
      " + 14.4 x1332 + 9.8 x1333 + 12 x1334 + 9.4 x1335 + 12.4 x1336 + 19.8 x1337\n",
      " + 14.1 x1338 + 13.4 x1339 + 10.1 x134 + 18.5 x1340 + 8.8 x1341 + 13.5 x1342\n",
      " + 5.9 x1343 + 16.6 x1344 + 14.6 x1345 + 21 x1346 + 16.4 x1347 + 19 x1348\n",
      " + 16.4 x1349 + 5 x135 + 16.6 x1350 + 6.5 x1351 + 16.7 x1352 + 8.7 x1353\n",
      " + 4.6 x1354 + 12.6 x1355 + 12.6 x1356 + 16.4 x1357 + 15.4 x1358 + 19 x1359\n",
      " + 15.5 x136 + 4.4 x1360 + 17 x1361 + 14 x1362 + 15.3 x1363 + 9 x1364\n",
      " + 6.6 x1365 + 13.7 x1366 + 14.4 x1367 + 16.4 x1368 + 16.7 x1369 + 5.2 x137\n",
      " + 5.3 x1370 + 10.3 x1371 + 5 x1372 + 12.1 x1373 + 10.7 x1374 + 18.5 x1375\n",
      " + 17.3 x1376 + 9.4 x1377 + 4.9 x1378 + 6.6 x1379 + 15.8 x138 + 9.1 x1380\n",
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      " + 7.7 x2315 + 13.8 x2316 + 11.2 x2317 + 11.7 x2318 + 6.2 x2319 + 15.7 x232\n",
      " + 19.3 x2320 + 14.8 x2321 + 20.3 x2322 + 7 x2323 + 10.5 x2324 + 18.8 x2325\n",
      " + 15 x2326 + 7.4 x2327 + 11.9 x2328 + 17.1 x2329 + 14.4 x233 + 19.8 x2330\n",
      " + 15.8 x2331 + 15.1 x2332 + 13.8 x2333 + 16.1 x2334 + 14.1 x2335 + 11.4 x2336\n",
      " + 12.4 x2337 + 17.1 x2338 + 10.2 x2339 + 16.8 x234 + 15.5 x2340 + 15.7 x2341\n",
      " + 12.4 x2342 + 17.2 x2343 + 13.7 x2344 + 18.4 x2345 + 10.3 x2346 + 11.9 x2347\n",
      " + 18.6 x2348 + 4 x2349 + 19.5 x235 + 11.9 x2350 + 16.4 x2351 + 15.9 x2352\n",
      " + 13.5 x2353 + 15 x2354 + 12.1 x2355 + 14.9 x2356 + 15.3 x2357 + 9.6 x2358\n",
      " + 12 x2359 + 17.2 x236 + 12.6 x2360 + 12.8 x2361 + 17.1 x2362 + 16.2 x2363\n",
      " + 10.8 x2364 + 12 x2365 + 18.3 x2366 + 11.9 x2367 + 14.4 x2368 + 20.2 x2369\n",
      " + 6.4 x237 + 8 x2370 + 21.8 x2371 + 12.8 x2372 + 11.4 x2373 + 15.3 x2374\n",
      " + 13.8 x2375 + 15.4 x2376 + 19.1 x2377 + 12.4 x2378 + 18.6 x2379 + 19.2 x238\n",
      " + 14.3 x2380 + 12.4 x2381 + 4.3 x2382 + 14.4 x2383 + 8.6 x2384 + 12.7 x2385\n",
      " + 10.3 x2386 + 60.1 x2387 + 12.5 x2388 + 14.2 x2389 + 2.2 x239 + 11.8 x2390\n",
      " + 15.7 x2391 + 7.3 x2392 + 6.2 x2393 + 6.1 x2394 + 15.3 x2395 + 5 x2396\n",
      " + 13 x2397 + 15.3 x2398 + 12.7 x2399 + 20.4 x24 + 17.3 x240 + 13.4 x2400\n",
      " + 8.7 x2401 + 7.5 x2402 + 11.9 x2403 + 6.1 x2404 + 17 x2405 + 16.2 x2406\n",
      " + 6.5 x2407 + 11.9 x2408 + 17 x2409 + 11.2 x241 + 11.9 x2410 + 14.4 x2411\n",
      " + 14.9 x2412 + 11.8 x2413 + 6 x2414 + 10 x2415 + 10.7 x2416 + 16.6 x2417\n",
      " + 10.2 x2418 + 10.8 x2419 + 3.2 x242 + 8.4 x2420 + 47.6 x2421 + 12.8 x2422\n",
      " + 13.8 x2423 + 17.4 x2424 + 11.2 x2425 + 13.7 x2426 + 14.9 x2427 + 5.4 x2428\n",
      " + 6.7 x2429 + 20.4 x243 + 29.5 x2430 + 12.8 x2431 + 15.4 x2432 + 10.6 x2433\n",
      " + 15.1 x2434 + 11 x2435 + 6.4 x2436 + 14.6 x2437 + 17.9 x2438 + 18.5 x2439\n",
      " + 3.5 x244 + 13.9 x2440 + 40.8 x2441 + 15.5 x2442 + 9.6 x2443 + 9.1 x2444\n",
      " + 7.1 x2445 + 10.8 x2446 + 15.8 x2447 + 16.7 x2448 + 11.8 x2449 + 19 x245\n",
      " + 17.8 x2450 + 17.6 x2451 + 16.2 x2452 + 13.1 x2453 + 10.6 x2454 + 15.6 x2455\n",
      " + 15 x2456 + 8.5 x2457 + 12.8 x2458 + 15.2 x2459 + 20.7 x246 + 17.6 x2460\n",
      " + 9 x2461 + 15.3 x2462 + 7.5 x2463 + 20.5 x2464 + 14.8 x2465 + 12.4 x2466\n",
      " + 14.4 x2467 + 12.6 x2468 + 7.2 x2469 + 16.7 x247 + 6.5 x2470 + 15.9 x2471\n",
      " + 13.4 x2472 + 7.1 x2473 + 13 x2474 + 15 x2475 + 3.5 x2476 + 22.2 x2477\n",
      " + 14.7 x2478 + 18.6 x2479 + 2.3 x248 + 10 x2480 + 14 x2481 + 14.2 x2482\n",
      " + 14 x2483 + 12.6 x2484 + 14.5 x2485 + 11.1 x2486 + 9.5 x2487 + 13.1 x2488\n",
      " + 17 x2489 + 3.1 x249 + 16.2 x2490 + 14.3 x2491 + 7.8 x2492 + 10.2 x2493\n",
      " + 12.2 x2494 + 17 x2495 + 7.1 x2496 + 7.2 x2497 + 14.6 x2498 + 12.9 x2499\n",
      " + 19 x25 + 4 x250 + 19.7 x2500 + 8.5 x2501 + 7.6 x2502 + 9.8 x2503\n",
      " + 14.8 x2504 + 11.6 x2505 + 12.3 x2506 + 9.6 x2507 + 10.1 x2508 + 5.4 x2509\n",
      " + 25.1 x251 + 16.2 x2510 + 11.9 x2511 + 10.5 x2512 + 14.3 x2513 + 12.4 x2514\n",
      " + 16 x2515 + 9.3 x2516 + 13.3 x2517 + 13.6 x2518 + 20.2 x2519 + 9.3 x252\n",
      " + 12.3 x2520 + 11.4 x2521 + 8.8 x2522 + 12.4 x2523 + 5.2 x2524 + 13.2 x2525\n",
      " + 13.6 x2526 + 14.4 x2527 + 12 x2528 + 19.3 x2529 + 18.3 x253 + 12.3 x2530\n",
      " + 11.6 x2531 + 16.6 x2532 + 11 x2533 + 12.1 x2534 + 12 x2535 + 14.4 x2536\n",
      " + 12.3 x2537 + 13.5 x2538 + 15.6 x2539 + 18.3 x254 + 12 x2540 + 16 x2541\n",
      " + 13.2 x2542 + 14.9 x2543 + 13.5 x2544 + 7.9 x2545 + 4.8 x2546 + 10.8 x2547\n",
      " + 18.3 x2548 + 8.6 x2549 + 4 x255 + 20.8 x256 + 5.6 x257 + 19.2 x258\n",
      " + 15.9 x259 + 21.9 x26 + 26.3 x260 + 17.7 x261 + 19.8 x262 + 23.7 x263\n",
      " + 2.6 x264 + 16.2 x265 + 15.6 x266 + 20.5 x267 + 15.4 x268 + 19.6 x269\n",
      " + 21.2 x27 + 16.4 x270 + 15.9 x271 + 3 x272 + 16.2 x273 + 20.9 x274\n",
      " + 14.9 x275 + 31.1 x276 + 14.8 x277 + 3.6 x278 + 13.7 x279 + 17.5 x28\n",
      " + 21 x280 + 16.6 x281 + 5.8 x282 + 16.4 x283 + 15.5 x284 + 31.6 x285\n",
      " + 12.5 x286 + 23.8 x287 + 25.3 x288 + 20.1 x289 + 21.3 x29 + 13.3 x290\n",
      " + 23.6 x291 + 16.1 x292 + 19.7 x293 + 18.7 x294 + 13.8 x295 + 14.6 x296\n",
      " + 13.6 x297 + 23.3 x298 + 3.5 x299 + 18.6 x3 + 19.6 x30 + 18.4 x300\n",
      " + 22.7 x301 + 18.8 x302 + 4.8 x303 + 15.1 x304 + 19.4 x305 + 5.9 x306\n",
      " + 21.1 x307 + 18.8 x308 + 16.5 x309 + 18.8 x31 + 4.7 x310 + 21.4 x311\n",
      " + 17.7 x312 + 16.2 x313 + 16.8 x314 + 16.7 x315 + 22.8 x316 + 18.9 x317\n",
      " + 4.6 x318 + 18.4 x319 + 22.8 x32 + 3.3 x320 + 15.8 x321 + 18.7 x322\n",
      " + 15.8 x323 + 16.9 x324 + 18.6 x325 + 16.8 x326 + 18.1 x327 + 16.9 x328\n",
      " + 12.2 x329 + 15.9 x33 + 17 x330 + 19.4 x331 + 28 x332 + 15.9 x333\n",
      " + 12.4 x334 + 23.2 x335 + 28.3 x336 + 16 x337 + 23.4 x338 + 14.3 x339\n",
      " + 12.9 x34 + 17.6 x340 + 19 x341 + 19 x342 + 20.4 x343 + 3.4 x344 + 3.8 x345\n",
      " + 19.5 x346 + 28.5 x347 + 9.2 x348 + 4 x349 + 18 x35 + 25.3 x350 + 18.2 x351\n",
      " + 16.5 x352 + 7.2 x353 + 33.6 x354 + 14.7 x355 + 18.5 x356 + 22 x357\n",
      " + 6.8 x358 + 16.6 x359 + 18.8 x36 + 29.5 x360 + 17.1 x361 + 21.8 x362\n",
      " + 15.6 x363 + 18.9 x364 + 15.6 x365 + 17.1 x366 + 15.6 x367 + 14.3 x368\n",
      " + 21.9 x369 + 19.6 x37 + 22.6 x370 + 16.2 x371 + 21.4 x372 + 12.6 x373\n",
      " + 13.8 x374 + 19.7 x375 + 22.4 x376 + 16.1 x377 + 18.8 x378 + 19.9 x379\n",
      " + 18 x38 + 20.3 x380 + 19.2 x381 + 15.2 x382 + 7.2 x383 + 20.8 x384\n",
      " + 18.8 x385 + 17 x386 + 17.1 x387 + 18.3 x388 + 21.4 x389 + 27.9 x39\n",
      " + 18.1 x390 + 7.3 x391 + 16.8 x392 + 14.5 x393 + 8 x394 + 13.1 x395\n",
      " + 20.7 x396 + 16.5 x397 + 20 x398 + 10.6 x399 + 19.8 x4 + 34.4 x40\n",
      " + 12.7 x400 + 8.7 x401 + 10 x402 + 26.7 x403 + 16.4 x404 + 7.8 x405\n",
      " + 16.4 x406 + 15.6 x407 + 13 x408 + 4.1 x409 + 26.8 x41 + 5.4 x410 + 7.5 x411\n",
      " + 27 x412 + 17.6 x413 + 12.2 x414 + 23.3 x415 + 6.1 x416 + 12.2 x417\n",
      " + 6.4 x418 + 16.1 x419 + 21.3 x42 + 10.4 x420 + 19.1 x421 + 18.2 x422\n",
      " + 22.9 x423 + 3.8 x424 + 18.1 x425 + 17.8 x426 + 6.4 x427 + 16.4 x428\n",
      " + 4.8 x429 + 13.4 x43 + 15.6 x430 + 17.3 x431 + 3.9 x432 + 9.3 x433\n",
      " + 11.2 x434 + 14.6 x435 + 23.1 x436 + 21 x437 + 21.1 x438 + 3.5 x439\n",
      " + 22.9 x44 + 7.3 x440 + 14.8 x441 + 11.9 x442 + 7.7 x443 + 18 x444\n",
      " + 17.5 x445 + 4.9 x446 + 10 x447 + 15.3 x448 + 3.9 x449 + 20 x45 + 15.9 x450\n",
      " + 17.4 x451 + 16.7 x452 + 3.5 x453 + 2.4 x454 + 6 x455 + 4.6 x456 + 12.5 x457\n",
      " + 6.6 x458 + 14.8 x459 + 14.1 x46 + 18.6 x460 + 8.8 x461 + 14.9 x462\n",
      " + 17.4 x463 + 3.8 x464 + 4.2 x465 + 3.3 x466 + 19.8 x467 + 11.9 x468 + 4 x469\n",
      " + 3.5 x47 + 15.9 x470 + 15.8 x471 + 6.4 x472 + 18.9 x473 + 3.1 x474\n",
      " + 6.6 x475 + 16.6 x476 + 12.6 x477 + 5.9 x478 + 3 x479 + 4.1 x48 + 4.1 x480\n",
      " + 18.6 x481 + 15.1 x482 + 6.4 x483 + 6 x484 + 4.6 x485 + 16.7 x486 + 9.6 x487\n",
      " + 4.2 x488 + 6.5 x489 + 3.3 x49 + 14.8 x490 + 16.7 x491 + 16.8 x492\n",
      " + 15.6 x493 + 17.2 x494 + 19.7 x495 + 9.5 x496 + 18.5 x497 + 17.7 x498\n",
      " + 18 x499 + 21.8 x5 + 14 x50 + 18.6 x500 + 10.2 x501 + 19.9 x502 + 14.6 x503\n",
      " + 17.1 x504 + 5.6 x505 + 18 x506 + 4.6 x507 + 14.5 x508 + 19.4 x509\n",
      " + 16.7 x51 + 18.9 x510 + 16.8 x511 + 13.6 x512 + 19.5 x513 + 18.2 x514\n",
      " + 10.4 x515 + 18.8 x516 + 4 x517 + 19.8 x518 + 11.9 x519 + 22 x52 + 6 x520\n",
      " + 17.5 x521 + 17.1 x522 + 18.9 x523 + 16.8 x524 + 9.9 x525 + 15.9 x526\n",
      " + 17.7 x527 + 15.7 x528 + 16.6 x529 + 18.6 x53 + 18.8 x530 + 16.5 x531\n",
      " + 4.4 x532 + 16.2 x533 + 5 x534 + 16.6 x535 + 14.8 x536 + 5.8 x537\n",
      " + 16.6 x538 + 6.1 x539 + 17.4 x54 + 20.8 x540 + 4.8 x541 + 7.1 x542\n",
      " + 16.6 x543 + 7.5 x544 + 7.2 x545 + 18.3 x546 + 2.4 x547 + 8.8 x548\n",
      " + 3.1 x549 + 19.2 x55 + 4.2 x550 + 3.7 x551 + 5.6 x552 + 13.8 x553\n",
      " + 18.1 x554 + 16.6 x555 + 18.4 x556 + 9.4 x557 + 15.8 x558 + 16.7 x559\n",
      " + 10 x56 + 11.7 x560 + 16.9 x561 + 17.9 x562 + 17.2 x563 + 16.4 x564\n",
      " + 17.2 x565 + 11.8 x566 + 12.7 x567 + 14.7 x568 + 20.9 x569 + 19 x57\n",
      " + 17.4 x570 + 5.1 x571 + 15.7 x572 + 11.3 x573 + 4.4 x574 + 16.6 x575\n",
      " + 9.5 x576 + 10.7 x577 + 9.9 x578 + 4.5 x579 + 13.8 x58 + 54.9 x580\n",
      " + 14.8 x581 + 17.8 x582 + 7.7 x583 + 13.3 x584 + 19.6 x585 + 17.3 x586\n",
      " + 25.1 x587 + 76.4 x588 + 37.4 x589 + 23.1 x59 + 8.5 x590 + 4 x591 + 9.5 x592\n",
      " + 2.9 x593 + 59.6 x594 + 18 x595 + 20.3 x596 + 6.6 x597 + 17.9 x598\n",
      " + 16.7 x599 + 16.5 x6 + 14.5 x60 + 57.9 x600 + 3 x601 + 9.4 x602 + 18.7 x603\n",
      " + 19.9 x604 + 4.8 x605 + 2.7 x606 + 21 x607 + 18 x608 + 16.9 x609 + 17.3 x61\n",
      " + 16.3 x610 + 23.7 x611 + 13.4 x612 + 17 x613 + 21.9 x614 + 7.8 x615\n",
      " + 14 x616 + 22 x617 + 27.8 x618 + 16.5 x619 + 19.2 x62 + 18.4 x620 + 17 x621\n",
      " + 19.7 x622 + 18.4 x623 + 17.9 x624 + 3.1 x625 + 20.1 x626 + 17 x627\n",
      " + 6.4 x628 + 65.9 x629 + 24.1 x63 + 17.1 x630 + 16.8 x631 + 18.2 x632\n",
      " + 5.6 x633 + 4.4 x634 + 19 x635 + 9.1 x636 + 15.4 x637 + 18.2 x638\n",
      " + 16.7 x639 + 22.6 x64 + 87.6 x640 + 20 x641 + 20.8 x642 + 21.2 x643\n",
      " + 23.1 x644 + 5.6 x645 + 4.4 x646 + 16.2 x647 + 9.4 x648 + 6.8 x649\n",
      " + 21.9 x65 + 18 x650 + 16.4 x651 + 3.4 x652 + 3.2 x653 + 8.2 x654 + 28.3 x655\n",
      " + 19.2 x656 + 19.5 x657 + 15.9 x658 + 7.2 x659 + 27.4 x66 + 29.3 x660\n",
      " + 19 x661 + 6 x662 + 6.2 x663 + 12.5 x664 + 4.2 x665 + 17.3 x666 + 17.3 x667\n",
      " + 6.2 x668 + 6.8 x669 + 17 x67 + 6.1 x670 + 23.6 x671 + 20 x672 + 18.6 x673\n",
      " + 18.6 x674 + 6 x675 + 16.8 x676 + 18.1 x677 + 18.3 x678 + 22.9 x679\n",
      " + 20.2 x68 + 5 x680 + 21 x681 + 17 x682 + 19.9 x683 + 11.6 x684 + 5.3 x685\n",
      " + 4.4 x686 + 20 x687 + 5.8 x688 + 15.2 x689 + 14.6 x69 + 9.8 x690 + 18.3 x691\n",
      " + 16.8 x692 + 15.6 x693 + 8.2 x694 + 21.1 x695 + 23.1 x696 + 18.8 x697\n",
      " + 15.4 x698 + 16.2 x699 + 20 x7 + 20.1 x70 + 13.2 x700 + 16.5 x701\n",
      " + 14.5 x702 + 19.7 x703 + 15.8 x704 + 12.6 x705 + 23 x706 + 16 x707 + 19 x708\n",
      " + 5.8 x709 + 22.3 x71 + 21.3 x710 + 21.4 x711 + 16.1 x712 + 17.6 x713\n",
      " + 16.5 x714 + 19 x715 + 9 x716 + 5.8 x717 + 13.1 x718 + 19.4 x719 + 15.5 x72\n",
      " + 15.7 x720 + 7 x721 + 2.9 x722 + 17.2 x723 + 11.2 x724 + 5.1 x725\n",
      " + 10.1 x726 + 19.9 x727 + 16.4 x728 + 19.8 x729 + 17.6 x73 + 19.8 x730\n",
      " + 19.6 x731 + 18.4 x732 + 18.5 x733 + 10.6 x734 + 6.8 x735 + 24.1 x736\n",
      " + 16.7 x737 + 18.7 x738 + 20.8 x739 + 20.7 x74 + 19.8 x740 + 9.8 x741\n",
      " + 19.5 x742 + 18.4 x743 + 7.6 x744 + 10.9 x745 + 9 x746 + 9.2 x747 + 12 x748\n",
      " + 17.9 x749 + 20.1 x75 + 9.8 x750 + 10.6 x751 + 14.2 x752 + 17.2 x753\n",
      " + 7.6 x754 + 16.8 x755 + 18.2 x756 + 25.4 x757 + 3.2 x758 + 14.1 x759\n",
      " + 4.6 x76 + 17.2 x760 + 16.8 x761 + 20.6 x762 + 12.7 x763 + 20.2 x764\n",
      " + 18.2 x765 + 18.9 x766 + 4 x767 + 17.9 x768 + 5.7 x769 + 14.2 x77 + 8.9 x770\n",
      " + 17.8 x771 + 18.5 x772 + 9.3 x773 + 4.2 x774 + 7.2 x775 + 28.2 x776\n",
      " + 5.2 x777 + 19.4 x778 + 10.7 x779 + 14.8 x78 + 13.8 x780 + 9.1 x781\n",
      " + 20.4 x782 + 20.1 x783 + 15.6 x784 + 3.3 x785 + 13.8 x786 + 16.5 x787\n",
      " + 8.5 x788 + 19.8 x789 + 16.9 x79 + 18 x790 + 12.9 x791 + 18.6 x792\n",
      " + 15.2 x793 + 5.3 x794 + 12.5 x795 + 3.2 x796 + 19.7 x797 + 18.2 x798\n",
      " + 9.4 x799 + 24.8 x8 + 23.3 x80 + 15.4 x800 + 11.2 x801 + 16.5 x802 + 7 x803\n",
      " + 17.2 x804 + 17.6 x805 + 19.3 x806 + 16.7 x807 + 17.6 x808 + 15.4 x809\n",
      " + 16.8 x81 + 17.8 x810 + 3.7 x811 + 17.3 x812 + 15.6 x813 + 15.8 x814\n",
      " + 13.6 x815 + 15.8 x816 + 9.4 x817 + 17.8 x818 + 15.4 x819 + 14.9 x82\n",
      " + 18 x820 + 5.2 x821 + 18.8 x822 + 16.6 x823 + 12.2 x824 + 8.8 x825\n",
      " + 9.8 x826 + 11.2 x827 + 8.8 x828 + 16.2 x829 + 17.4 x83 + 10.1 x830\n",
      " + 17.1 x831 + 16.6 x832 + 11.7 x833 + 17.3 x834 + 15 x835 + 18 x836\n",
      " + 20.3 x837 + 23.1 x838 + 4.2 x839 + 16.3 x84 + 9.6 x840 + 16.5 x841\n",
      " + 21.1 x842 + 17.6 x843 + 10.9 x844 + 7.9 x845 + 10.8 x846 + 11.1 x847\n",
      " + 12.5 x848 + 19.8 x849 + 16.4 x85 + 18.1 x850 + 12.8 x851 + 16.6 x852\n",
      " + 6.1 x853 + 21.5 x854 + 16.6 x855 + 6.7 x856 + 15.1 x857 + 20.6 x858\n",
      " + 10.1 x859 + 2.7 x86 + 11.8 x860 + 8.4 x861 + 15.9 x862 + 5.9 x863\n",
      " + 10.1 x864 + 14.1 x865 + 8.7 x866 + 13.8 x867 + 11.9 x868 + 15.9 x869\n",
      " + 7.6 x87 + 10.3 x870 + 17.8 x871 + 14.8 x872 + 13 x873 + 18.3 x874\n",
      " + 15.9 x875 + 10.2 x876 + 19.9 x877 + 9.4 x878 + 17.2 x879 + 21.8 x88\n",
      " + 24.2 x880 + 9.8 x881 + 10.3 x882 + 17.4 x883 + 11.4 x884 + 20.4 x885\n",
      " + 19.9 x886 + 8.8 x887 + 18.7 x888 + 17.7 x889 + 32.2 x89 + 4.1 x890\n",
      " + 16.8 x891 + 18.4 x892 + 9.2 x893 + 7 x894 + 19.7 x895 + 6.4 x896\n",
      " + 10.9 x897 + 10.6 x898 + 10.7 x899 + 21 x9 + 20.1 x90 + 18.2 x900 + 4.2 x901\n",
      " + 14.6 x902 + 4.1 x903 + 15.6 x904 + 14.1 x905 + 19.5 x906 + 7.8 x907\n",
      " + 19.3 x908 + 4.4 x909 + 17.2 x91 + 17.7 x910 + 7.1 x911 + 19.5 x912\n",
      " + 4.2 x913 + 16.4 x914 + 18.1 x915 + 17.8 x916 + 19.8 x917 + 14.1 x918\n",
      " + 5 x919 + 4.2 x92 + 17.4 x920 + 21.1 x921 + 10.4 x922 + 4.6 x923 + 15.5 x924\n",
      " + 9.1 x925 + 9.9 x926 + 15.8 x927 + 6.7 x928 + 15.9 x929 + 6.3 x93 + 7.8 x930\n",
      " + 17.9 x931 + 9.7 x932 + 7.4 x933 + 5.6 x934 + 14.7 x935 + 18.4 x936\n",
      " + 16.9 x937 + 8.2 x938 + 12.8 x939 + 5.2 x94 + 3 x940 + 3.3 x941 + 18.3 x942\n",
      " + 23.2 x943 + 10.7 x944 + 17.2 x945 + 9.4 x946 + 46 x947 + 9.1 x948\n",
      " + 9.6 x949 + 19.5 x95 + 7.8 x950 + 5.4 x951 + 16.3 x952 + 16.6 x953\n",
      " + 9.4 x954 + 9.2 x955 + 18.8 x956 + 4.2 x957 + 18.4 x958 + 16.8 x959\n",
      " + 29.2 x96 + 17.9 x960 + 4.2 x961 + 6.5 x962 + 20.2 x963 + 16.8 x964\n",
      " + 10.9 x965 + 3.6 x966 + 11.3 x967 + 5.8 x968 + 12.3 x969 + 19.9 x97\n",
      " + 17 x970 + 16.5 x971 + 5.7 x972 + 3.4 x973 + 10.1 x974 + 13.8 x975\n",
      " + 22.3 x976 + 4.2 x977 + 14.9 x978 + 17.9 x979 + 3.4 x98 + 18.1 x980\n",
      " + 13.6 x981 + 17.6 x982 + 13.9 x983 + 15.4 x984 + 6.3 x985 + 20 x986\n",
      " + 17.6 x987 + 16.3 x988 + 19.2 x989 + 14.3 x99 + 7.8 x990 + 5.5 x991\n",
      " + 12.8 x992 + 20.2 x993 + 5.4 x994 + 4.8 x995 + 13 x996 + 10.2 x997\n",
      " + 11.7 x998 + 17.7 x999 = 600\n",
      "\n",
      "_C2: x0 + x1 + x10 + x100 + x1000 + x1001 + x1002 + x1003 + x1004 + x1005\n",
      " + x1006 + x1007 + x1008 + x1009 + x101 + x1010 + x1011 + x1012 + x1013\n",
      " + x1014 + x1015 + x1016 + x1017 + x1018 + x1019 + x102 + x1020 + x1021\n",
      " + x1022 + x1023 + x1024 + x1025 + x1026 + x1027 + x1028 + x1029 + x103\n",
      " + x1030 + x1031 + x1032 + x1033 + x1034 + x1035 + x1036 + x1037 + x1038\n",
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      " + x357 + x358 + x359 + x36 + x360 + x361 + x362 + x363 + x364 + x365 + x366\n",
      " + x367 + x368 + x369 + x37 + x370 + x371 + x372 + x373 + x374 + x375 + x376\n",
      " + x377 + x378 + x379 + x38 + x380 + x381 + x382 + x383 + x384 + x385 + x386\n",
      " + x387 + x388 + x389 + x39 + x390 + x391 + x392 + x393 + x394 + x395 + x396\n",
      " + x397 + x398 + x399 + x4 + x40 + x400 + x401 + x402 + x403 + x404 + x405\n",
      " + x406 + x407 + x408 + x409 + x41 + x410 + x411 + x412 + x413 + x414 + x415\n",
      " + x416 + x417 + x418 + x419 + x42 + x420 + x421 + x422 + x423 + x424 + x425\n",
      " + x426 + x427 + x428 + x429 + x43 + x430 + x431 + x432 + x433 + x434 + x435\n",
      " + x436 + x437 + x438 + x439 + x44 + x440 + x441 + x442 + x443 + x444 + x445\n",
      " + x446 + x447 + x448 + x449 + x45 + x450 + x451 + x452 + x453 + x454 + x455\n",
      " + x456 + x457 + x458 + x459 + x46 + x460 + x461 + x462 + x463 + x464 + x465\n",
      " + x466 + x467 + x468 + x469 + x47 + x470 + x471 + x472 + x473 + x474 + x475\n",
      " + x476 + x477 + x478 + x479 + x48 + x480 + x481 + x482 + x483 + x484 + x485\n",
      " + x486 + x487 + x488 + x489 + x49 + x490 + x491 + x492 + x493 + x494 + x495\n",
      " + x496 + x497 + x498 + x499 + x5 + x50 + x500 + x501 + x502 + x503 + x504\n",
      " + x505 + x506 + x507 + x508 + x509 + x51 + x510 + x511 + x512 + x513 + x514\n",
      " + x515 + x516 + x517 + x518 + x519 + x52 + x520 + x521 + x522 + x523 + x524\n",
      " + x525 + x526 + x527 + x528 + x529 + x53 + x530 + x531 + x532 + x533 + x534\n",
      " + x535 + x536 + x537 + x538 + x539 + x54 + x540 + x541 + x542 + x543 + x544\n",
      " + x545 + x546 + x547 + x548 + x549 + x55 + x550 + x551 + x552 + x553 + x554\n",
      " + x555 + x556 + x557 + x558 + x559 + x56 + x560 + x561 + x562 + x563 + x564\n",
      " + x565 + x566 + x567 + x568 + x569 + x57 + x570 + x571 + x572 + x573 + x574\n",
      " + x575 + x576 + x577 + x578 + x579 + x58 + x580 + x581 + x582 + x583 + x584\n",
      " + x585 + x586 + x587 + x588 + x589 + x59 + x590 + x591 + x592 + x593 + x594\n",
      " + x595 + x596 + x597 + x598 + x599 + x6 + x60 + x600 + x601 + x602 + x603\n",
      " + x604 + x605 + x606 + x607 + x608 + x609 + x61 + x610 + x611 + x612 + x613\n",
      " + x614 + x615 + x616 + x617 + x618 + x619 + x62 + x620 + x621 + x622 + x623\n",
      " + x624 + x625 + x626 + x627 + x628 + x629 + x63 + x630 + x631 + x632 + x633\n",
      " + x634 + x635 + x636 + x637 + x638 + x639 + x64 + x640 + x641 + x642 + x643\n",
      " + x644 + x645 + x646 + x647 + x648 + x649 + x65 + x650 + x651 + x652 + x653\n",
      " + x654 + x655 + x656 + x657 + x658 + x659 + x66 + x660 + x661 + x662 + x663\n",
      " + x664 + x665 + x666 + x667 + x668 + x669 + x67 + x670 + x671 + x672 + x673\n",
      " + x674 + x675 + x676 + x677 + x678 + x679 + x68 + x680 + x681 + x682 + x683\n",
      " + x684 + x685 + x686 + x687 + x688 + x689 + x69 + x690 + x691 + x692 + x693\n",
      " + x694 + x695 + x696 + x697 + x698 + x699 + x7 + x70 + x700 + x701 + x702\n",
      " + x703 + x704 + x705 + x706 + x707 + x708 + x709 + x71 + x710 + x711 + x712\n",
      " + x713 + x714 + x715 + x716 + x717 + x718 + x719 + x72 + x720 + x721 + x722\n",
      " + x723 + x724 + x725 + x726 + x727 + x728 + x729 + x73 + x730 + x731 + x732\n",
      " + x733 + x734 + x735 + x736 + x737 + x738 + x739 + x74 + x740 + x741 + x742\n",
      " + x743 + x744 + x745 + x746 + x747 + x748 + x749 + x75 + x750 + x751 + x752\n",
      " + x753 + x754 + x755 + x756 + x757 + x758 + x759 + x76 + x760 + x761 + x762\n",
      " + x763 + x764 + x765 + x766 + x767 + x768 + x769 + x77 + x770 + x771 + x772\n",
      " + x773 + x774 + x775 + x776 + x777 + x778 + x779 + x78 + x780 + x781 + x782\n",
      " + x783 + x784 + x785 + x786 + x787 + x788 + x789 + x79 + x790 + x791 + x792\n",
      " + x793 + x794 + x795 + x796 + x797 + x798 + x799 + x8 + x80 + x800 + x801\n",
      " + x802 + x803 + x804 + x805 + x806 + x807 + x808 + x809 + x81 + x810 + x811\n",
      " + x812 + x813 + x814 + x815 + x816 + x817 + x818 + x819 + x82 + x820 + x821\n",
      " + x822 + x823 + x824 + x825 + x826 + x827 + x828 + x829 + x83 + x830 + x831\n",
      " + x832 + x833 + x834 + x835 + x836 + x837 + x838 + x839 + x84 + x840 + x841\n",
      " + x842 + x843 + x844 + x845 + x846 + x847 + x848 + x849 + x85 + x850 + x851\n",
      " + x852 + x853 + x854 + x855 + x856 + x857 + x858 + x859 + x86 + x860 + x861\n",
      " + x862 + x863 + x864 + x865 + x866 + x867 + x868 + x869 + x87 + x870 + x871\n",
      " + x872 + x873 + x874 + x875 + x876 + x877 + x878 + x879 + x88 + x880 + x881\n",
      " + x882 + x883 + x884 + x885 + x886 + x887 + x888 + x889 + x89 + x890 + x891\n",
      " + x892 + x893 + x894 + x895 + x896 + x897 + x898 + x899 + x9 + x90 + x900\n",
      " + x901 + x902 + x903 + x904 + x905 + x906 + x907 + x908 + x909 + x91 + x910\n",
      " + x911 + x912 + x913 + x914 + x915 + x916 + x917 + x918 + x919 + x92 + x920\n",
      " + x921 + x922 + x923 + x924 + x925 + x926 + x927 + x928 + x929 + x93 + x930\n",
      " + x931 + x932 + x933 + x934 + x935 + x936 + x937 + x938 + x939 + x94 + x940\n",
      " + x941 + x942 + x943 + x944 + x945 + x946 + x947 + x948 + x949 + x95 + x950\n",
      " + x951 + x952 + x953 + x954 + x955 + x956 + x957 + x958 + x959 + x96 + x960\n",
      " + x961 + x962 + x963 + x964 + x965 + x966 + x967 + x968 + x969 + x97 + x970\n",
      " + x971 + x972 + x973 + x974 + x975 + x976 + x977 + x978 + x979 + x98 + x980\n",
      " + x981 + x982 + x983 + x984 + x985 + x986 + x987 + x988 + x989 + x99 + x990\n",
      " + x991 + x992 + x993 + x994 + x995 + x996 + x997 + x998 + x999 = 25\n",
      "\n",
      "VARIABLES\n",
      "0 <= x0 <= 1 Integer\n",
      "0 <= x1 <= 1 Integer\n",
      "0 <= x10 <= 1 Integer\n",
      "0 <= x100 <= 1 Integer\n",
      "0 <= x1000 <= 1 Integer\n",
      "0 <= x1001 <= 1 Integer\n",
      "0 <= x1002 <= 1 Integer\n",
      "0 <= x1003 <= 1 Integer\n",
      "0 <= x1004 <= 1 Integer\n",
      "0 <= x1005 <= 1 Integer\n",
      "0 <= x1006 <= 1 Integer\n",
      "0 <= x1007 <= 1 Integer\n",
      "0 <= x1008 <= 1 Integer\n",
      "0 <= x1009 <= 1 Integer\n",
      "0 <= x101 <= 1 Integer\n",
      "0 <= x1010 <= 1 Integer\n",
      "0 <= x1011 <= 1 Integer\n",
      "0 <= x1012 <= 1 Integer\n",
      "0 <= x1013 <= 1 Integer\n",
      "0 <= x1014 <= 1 Integer\n",
      "0 <= x1015 <= 1 Integer\n",
      "0 <= x1016 <= 1 Integer\n",
      "0 <= x1017 <= 1 Integer\n",
      "0 <= x1018 <= 1 Integer\n",
      "0 <= x1019 <= 1 Integer\n",
      "0 <= x102 <= 1 Integer\n",
      "0 <= x1020 <= 1 Integer\n",
      "0 <= x1021 <= 1 Integer\n",
      "0 <= x1022 <= 1 Integer\n",
      "0 <= x1023 <= 1 Integer\n",
      "0 <= x1024 <= 1 Integer\n",
      "0 <= x1025 <= 1 Integer\n",
      "0 <= x1026 <= 1 Integer\n",
      "0 <= x1027 <= 1 Integer\n",
      "0 <= x1028 <= 1 Integer\n",
      "0 <= x1029 <= 1 Integer\n",
      "0 <= x103 <= 1 Integer\n",
      "0 <= x1030 <= 1 Integer\n",
      "0 <= x1031 <= 1 Integer\n",
      "0 <= x1032 <= 1 Integer\n",
      "0 <= x1033 <= 1 Integer\n",
      "0 <= x1034 <= 1 Integer\n",
      "0 <= x1035 <= 1 Integer\n",
      "0 <= x1036 <= 1 Integer\n",
      "0 <= x1037 <= 1 Integer\n",
      "0 <= x1038 <= 1 Integer\n",
      "0 <= x1039 <= 1 Integer\n",
      "0 <= x104 <= 1 Integer\n",
      "0 <= x1040 <= 1 Integer\n",
      "0 <= x1041 <= 1 Integer\n",
      "0 <= x1042 <= 1 Integer\n",
      "0 <= x1043 <= 1 Integer\n",
      "0 <= x1044 <= 1 Integer\n",
      "0 <= x1045 <= 1 Integer\n",
      "0 <= x1046 <= 1 Integer\n",
      "0 <= x1047 <= 1 Integer\n",
      "0 <= x1048 <= 1 Integer\n",
      "0 <= x1049 <= 1 Integer\n",
      "0 <= x105 <= 1 Integer\n",
      "0 <= x1050 <= 1 Integer\n",
      "0 <= x1051 <= 1 Integer\n",
      "0 <= x1052 <= 1 Integer\n",
      "0 <= x1053 <= 1 Integer\n",
      "0 <= x1054 <= 1 Integer\n",
      "0 <= x1055 <= 1 Integer\n",
      "0 <= x1056 <= 1 Integer\n",
      "0 <= x1057 <= 1 Integer\n",
      "0 <= x1058 <= 1 Integer\n",
      "0 <= x1059 <= 1 Integer\n",
      "0 <= x106 <= 1 Integer\n",
      "0 <= x1060 <= 1 Integer\n",
      "0 <= x1061 <= 1 Integer\n",
      "0 <= x1062 <= 1 Integer\n",
      "0 <= x1063 <= 1 Integer\n",
      "0 <= x1064 <= 1 Integer\n",
      "0 <= x1065 <= 1 Integer\n",
      "0 <= x1066 <= 1 Integer\n",
      "0 <= x1067 <= 1 Integer\n",
      "0 <= x1068 <= 1 Integer\n",
      "0 <= x1069 <= 1 Integer\n",
      "0 <= x107 <= 1 Integer\n",
      "0 <= x1070 <= 1 Integer\n",
      "0 <= x1071 <= 1 Integer\n",
      "0 <= x1072 <= 1 Integer\n",
      "0 <= x1073 <= 1 Integer\n",
      "0 <= x1074 <= 1 Integer\n",
      "0 <= x1075 <= 1 Integer\n",
      "0 <= x1076 <= 1 Integer\n",
      "0 <= x1077 <= 1 Integer\n",
      "0 <= x1078 <= 1 Integer\n",
      "0 <= x1079 <= 1 Integer\n",
      "0 <= x108 <= 1 Integer\n",
      "0 <= x1080 <= 1 Integer\n",
      "0 <= x1081 <= 1 Integer\n",
      "0 <= x1082 <= 1 Integer\n",
      "0 <= x1083 <= 1 Integer\n",
      "0 <= x1084 <= 1 Integer\n",
      "0 <= x1085 <= 1 Integer\n",
      "0 <= x1086 <= 1 Integer\n",
      "0 <= x1087 <= 1 Integer\n",
      "0 <= x1088 <= 1 Integer\n",
      "0 <= x1089 <= 1 Integer\n",
      "0 <= x109 <= 1 Integer\n",
      "0 <= x1090 <= 1 Integer\n",
      "0 <= x1091 <= 1 Integer\n",
      "0 <= x1092 <= 1 Integer\n",
      "0 <= x1093 <= 1 Integer\n",
      "0 <= x1094 <= 1 Integer\n",
      "0 <= x1095 <= 1 Integer\n",
      "0 <= x1096 <= 1 Integer\n",
      "0 <= x1097 <= 1 Integer\n",
      "0 <= x1098 <= 1 Integer\n",
      "0 <= x1099 <= 1 Integer\n",
      "0 <= x11 <= 1 Integer\n",
      "0 <= x110 <= 1 Integer\n",
      "0 <= x1100 <= 1 Integer\n",
      "0 <= x1101 <= 1 Integer\n",
      "0 <= x1102 <= 1 Integer\n",
      "0 <= x1103 <= 1 Integer\n",
      "0 <= x1104 <= 1 Integer\n",
      "0 <= x1105 <= 1 Integer\n",
      "0 <= x1106 <= 1 Integer\n",
      "0 <= x1107 <= 1 Integer\n",
      "0 <= x1108 <= 1 Integer\n",
      "0 <= x1109 <= 1 Integer\n",
      "0 <= x111 <= 1 Integer\n",
      "0 <= x1110 <= 1 Integer\n",
      "0 <= x1111 <= 1 Integer\n",
      "0 <= x1112 <= 1 Integer\n",
      "0 <= x1113 <= 1 Integer\n",
      "0 <= x1114 <= 1 Integer\n",
      "0 <= x1115 <= 1 Integer\n",
      "0 <= x1116 <= 1 Integer\n",
      "0 <= x1117 <= 1 Integer\n",
      "0 <= x1118 <= 1 Integer\n",
      "0 <= x1119 <= 1 Integer\n",
      "0 <= x112 <= 1 Integer\n",
      "0 <= x1120 <= 1 Integer\n",
      "0 <= x1121 <= 1 Integer\n",
      "0 <= x1122 <= 1 Integer\n",
      "0 <= x1123 <= 1 Integer\n",
      "0 <= x1124 <= 1 Integer\n",
      "0 <= x1125 <= 1 Integer\n",
      "0 <= x1126 <= 1 Integer\n",
      "0 <= x1127 <= 1 Integer\n",
      "0 <= x1128 <= 1 Integer\n",
      "0 <= x1129 <= 1 Integer\n",
      "0 <= x113 <= 1 Integer\n",
      "0 <= x1130 <= 1 Integer\n",
      "0 <= x1131 <= 1 Integer\n",
      "0 <= x1132 <= 1 Integer\n",
      "0 <= x1133 <= 1 Integer\n",
      "0 <= x1134 <= 1 Integer\n",
      "0 <= x1135 <= 1 Integer\n",
      "0 <= x1136 <= 1 Integer\n",
      "0 <= x1137 <= 1 Integer\n",
      "0 <= x1138 <= 1 Integer\n",
      "0 <= x1139 <= 1 Integer\n",
      "0 <= x114 <= 1 Integer\n",
      "0 <= x1140 <= 1 Integer\n",
      "0 <= x1141 <= 1 Integer\n",
      "0 <= x1142 <= 1 Integer\n",
      "0 <= x1143 <= 1 Integer\n",
      "0 <= x1144 <= 1 Integer\n",
      "0 <= x1145 <= 1 Integer\n",
      "0 <= x1146 <= 1 Integer\n",
      "0 <= x1147 <= 1 Integer\n",
      "0 <= x1148 <= 1 Integer\n",
      "0 <= x1149 <= 1 Integer\n",
      "0 <= x115 <= 1 Integer\n",
      "0 <= x1150 <= 1 Integer\n",
      "0 <= x1151 <= 1 Integer\n",
      "0 <= x1152 <= 1 Integer\n",
      "0 <= x1153 <= 1 Integer\n",
      "0 <= x1154 <= 1 Integer\n",
      "0 <= x1155 <= 1 Integer\n",
      "0 <= x1156 <= 1 Integer\n",
      "0 <= x1157 <= 1 Integer\n",
      "0 <= x1158 <= 1 Integer\n",
      "0 <= x1159 <= 1 Integer\n",
      "0 <= x116 <= 1 Integer\n",
      "0 <= x1160 <= 1 Integer\n",
      "0 <= x1161 <= 1 Integer\n",
      "0 <= x1162 <= 1 Integer\n",
      "0 <= x1163 <= 1 Integer\n",
      "0 <= x1164 <= 1 Integer\n",
      "0 <= x1165 <= 1 Integer\n",
      "0 <= x1166 <= 1 Integer\n",
      "0 <= x1167 <= 1 Integer\n",
      "0 <= x1168 <= 1 Integer\n",
      "0 <= x1169 <= 1 Integer\n",
      "0 <= x117 <= 1 Integer\n",
      "0 <= x1170 <= 1 Integer\n",
      "0 <= x1171 <= 1 Integer\n",
      "0 <= x1172 <= 1 Integer\n",
      "0 <= x1173 <= 1 Integer\n",
      "0 <= x1174 <= 1 Integer\n",
      "0 <= x1175 <= 1 Integer\n",
      "0 <= x1176 <= 1 Integer\n",
      "0 <= x1177 <= 1 Integer\n",
      "0 <= x1178 <= 1 Integer\n",
      "0 <= x1179 <= 1 Integer\n",
      "0 <= x118 <= 1 Integer\n",
      "0 <= x1180 <= 1 Integer\n",
      "0 <= x1181 <= 1 Integer\n",
      "0 <= x1182 <= 1 Integer\n",
      "0 <= x1183 <= 1 Integer\n",
      "0 <= x1184 <= 1 Integer\n",
      "0 <= x1185 <= 1 Integer\n",
      "0 <= x1186 <= 1 Integer\n",
      "0 <= x1187 <= 1 Integer\n",
      "0 <= x1188 <= 1 Integer\n",
      "0 <= x1189 <= 1 Integer\n",
      "0 <= x119 <= 1 Integer\n",
      "0 <= x1190 <= 1 Integer\n",
      "0 <= x1191 <= 1 Integer\n",
      "0 <= x1192 <= 1 Integer\n",
      "0 <= x1193 <= 1 Integer\n",
      "0 <= x1194 <= 1 Integer\n",
      "0 <= x1195 <= 1 Integer\n",
      "0 <= x1196 <= 1 Integer\n",
      "0 <= x1197 <= 1 Integer\n",
      "0 <= x1198 <= 1 Integer\n",
      "0 <= x1199 <= 1 Integer\n",
      "0 <= x12 <= 1 Integer\n",
      "0 <= x120 <= 1 Integer\n",
      "0 <= x1200 <= 1 Integer\n",
      "0 <= x1201 <= 1 Integer\n",
      "0 <= x1202 <= 1 Integer\n",
      "0 <= x1203 <= 1 Integer\n",
      "0 <= x1204 <= 1 Integer\n",
      "0 <= x1205 <= 1 Integer\n",
      "0 <= x1206 <= 1 Integer\n",
      "0 <= x1207 <= 1 Integer\n",
      "0 <= x1208 <= 1 Integer\n",
      "0 <= x1209 <= 1 Integer\n",
      "0 <= x121 <= 1 Integer\n",
      "0 <= x1210 <= 1 Integer\n",
      "0 <= x1211 <= 1 Integer\n",
      "0 <= x1212 <= 1 Integer\n",
      "0 <= x1213 <= 1 Integer\n",
      "0 <= x1214 <= 1 Integer\n",
      "0 <= x1215 <= 1 Integer\n",
      "0 <= x1216 <= 1 Integer\n",
      "0 <= x1217 <= 1 Integer\n",
      "0 <= x1218 <= 1 Integer\n",
      "0 <= x1219 <= 1 Integer\n",
      "0 <= x122 <= 1 Integer\n",
      "0 <= x1220 <= 1 Integer\n",
      "0 <= x1221 <= 1 Integer\n",
      "0 <= x1222 <= 1 Integer\n",
      "0 <= x1223 <= 1 Integer\n",
      "0 <= x1224 <= 1 Integer\n",
      "0 <= x1225 <= 1 Integer\n",
      "0 <= x1226 <= 1 Integer\n",
      "0 <= x1227 <= 1 Integer\n",
      "0 <= x1228 <= 1 Integer\n",
      "0 <= x1229 <= 1 Integer\n",
      "0 <= x123 <= 1 Integer\n",
      "0 <= x1230 <= 1 Integer\n",
      "0 <= x1231 <= 1 Integer\n",
      "0 <= x1232 <= 1 Integer\n",
      "0 <= x1233 <= 1 Integer\n",
      "0 <= x1234 <= 1 Integer\n",
      "0 <= x1235 <= 1 Integer\n",
      "0 <= x1236 <= 1 Integer\n",
      "0 <= x1237 <= 1 Integer\n",
      "0 <= x1238 <= 1 Integer\n",
      "0 <= x1239 <= 1 Integer\n",
      "0 <= x124 <= 1 Integer\n",
      "0 <= x1240 <= 1 Integer\n",
      "0 <= x1241 <= 1 Integer\n",
      "0 <= x1242 <= 1 Integer\n",
      "0 <= x1243 <= 1 Integer\n",
      "0 <= x1244 <= 1 Integer\n",
      "0 <= x1245 <= 1 Integer\n",
      "0 <= x1246 <= 1 Integer\n",
      "0 <= x1247 <= 1 Integer\n",
      "0 <= x1248 <= 1 Integer\n",
      "0 <= x1249 <= 1 Integer\n",
      "0 <= x125 <= 1 Integer\n",
      "0 <= x1250 <= 1 Integer\n",
      "0 <= x1251 <= 1 Integer\n",
      "0 <= x1252 <= 1 Integer\n",
      "0 <= x1253 <= 1 Integer\n",
      "0 <= x1254 <= 1 Integer\n",
      "0 <= x1255 <= 1 Integer\n",
      "0 <= x1256 <= 1 Integer\n",
      "0 <= x1257 <= 1 Integer\n",
      "0 <= x1258 <= 1 Integer\n",
      "0 <= x1259 <= 1 Integer\n",
      "0 <= x126 <= 1 Integer\n",
      "0 <= x1260 <= 1 Integer\n",
      "0 <= x1261 <= 1 Integer\n",
      "0 <= x1262 <= 1 Integer\n",
      "0 <= x1263 <= 1 Integer\n",
      "0 <= x1264 <= 1 Integer\n",
      "0 <= x1265 <= 1 Integer\n",
      "0 <= x1266 <= 1 Integer\n",
      "0 <= x1267 <= 1 Integer\n",
      "0 <= x1268 <= 1 Integer\n",
      "0 <= x1269 <= 1 Integer\n",
      "0 <= x127 <= 1 Integer\n",
      "0 <= x1270 <= 1 Integer\n",
      "0 <= x1271 <= 1 Integer\n",
      "0 <= x1272 <= 1 Integer\n",
      "0 <= x1273 <= 1 Integer\n",
      "0 <= x1274 <= 1 Integer\n",
      "0 <= x1275 <= 1 Integer\n",
      "0 <= x1276 <= 1 Integer\n",
      "0 <= x1277 <= 1 Integer\n",
      "0 <= x1278 <= 1 Integer\n",
      "0 <= x1279 <= 1 Integer\n",
      "0 <= x128 <= 1 Integer\n",
      "0 <= x1280 <= 1 Integer\n",
      "0 <= x1281 <= 1 Integer\n",
      "0 <= x1282 <= 1 Integer\n",
      "0 <= x1283 <= 1 Integer\n",
      "0 <= x1284 <= 1 Integer\n",
      "0 <= x1285 <= 1 Integer\n",
      "0 <= x1286 <= 1 Integer\n",
      "0 <= x1287 <= 1 Integer\n",
      "0 <= x1288 <= 1 Integer\n",
      "0 <= x1289 <= 1 Integer\n",
      "0 <= x129 <= 1 Integer\n",
      "0 <= x1290 <= 1 Integer\n",
      "0 <= x1291 <= 1 Integer\n",
      "0 <= x1292 <= 1 Integer\n",
      "0 <= x1293 <= 1 Integer\n",
      "0 <= x1294 <= 1 Integer\n",
      "0 <= x1295 <= 1 Integer\n",
      "0 <= x1296 <= 1 Integer\n",
      "0 <= x1297 <= 1 Integer\n",
      "0 <= x1298 <= 1 Integer\n",
      "0 <= x1299 <= 1 Integer\n",
      "0 <= x13 <= 1 Integer\n",
      "0 <= x130 <= 1 Integer\n",
      "0 <= x1300 <= 1 Integer\n",
      "0 <= x1301 <= 1 Integer\n",
      "0 <= x1302 <= 1 Integer\n",
      "0 <= x1303 <= 1 Integer\n",
      "0 <= x1304 <= 1 Integer\n",
      "0 <= x1305 <= 1 Integer\n",
      "0 <= x1306 <= 1 Integer\n",
      "0 <= x1307 <= 1 Integer\n",
      "0 <= x1308 <= 1 Integer\n",
      "0 <= x1309 <= 1 Integer\n",
      "0 <= x131 <= 1 Integer\n",
      "0 <= x1310 <= 1 Integer\n",
      "0 <= x1311 <= 1 Integer\n",
      "0 <= x1312 <= 1 Integer\n",
      "0 <= x1313 <= 1 Integer\n",
      "0 <= x1314 <= 1 Integer\n",
      "0 <= x1315 <= 1 Integer\n",
      "0 <= x1316 <= 1 Integer\n",
      "0 <= x1317 <= 1 Integer\n",
      "0 <= x1318 <= 1 Integer\n",
      "0 <= x1319 <= 1 Integer\n",
      "0 <= x132 <= 1 Integer\n",
      "0 <= x1320 <= 1 Integer\n",
      "0 <= x1321 <= 1 Integer\n",
      "0 <= x1322 <= 1 Integer\n",
      "0 <= x1323 <= 1 Integer\n",
      "0 <= x1324 <= 1 Integer\n",
      "0 <= x1325 <= 1 Integer\n",
      "0 <= x1326 <= 1 Integer\n",
      "0 <= x1327 <= 1 Integer\n",
      "0 <= x1328 <= 1 Integer\n",
      "0 <= x1329 <= 1 Integer\n",
      "0 <= x133 <= 1 Integer\n",
      "0 <= x1330 <= 1 Integer\n",
      "0 <= x1331 <= 1 Integer\n",
      "0 <= x1332 <= 1 Integer\n",
      "0 <= x1333 <= 1 Integer\n",
      "0 <= x1334 <= 1 Integer\n",
      "0 <= x1335 <= 1 Integer\n",
      "0 <= x1336 <= 1 Integer\n",
      "0 <= x1337 <= 1 Integer\n",
      "0 <= x1338 <= 1 Integer\n",
      "0 <= x1339 <= 1 Integer\n",
      "0 <= x134 <= 1 Integer\n",
      "0 <= x1340 <= 1 Integer\n",
      "0 <= x1341 <= 1 Integer\n",
      "0 <= x1342 <= 1 Integer\n",
      "0 <= x1343 <= 1 Integer\n",
      "0 <= x1344 <= 1 Integer\n",
      "0 <= x1345 <= 1 Integer\n",
      "0 <= x1346 <= 1 Integer\n",
      "0 <= x1347 <= 1 Integer\n",
      "0 <= x1348 <= 1 Integer\n",
      "0 <= x1349 <= 1 Integer\n",
      "0 <= x135 <= 1 Integer\n",
      "0 <= x1350 <= 1 Integer\n",
      "0 <= x1351 <= 1 Integer\n",
      "0 <= x1352 <= 1 Integer\n",
      "0 <= x1353 <= 1 Integer\n",
      "0 <= x1354 <= 1 Integer\n",
      "0 <= x1355 <= 1 Integer\n",
      "0 <= x1356 <= 1 Integer\n",
      "0 <= x1357 <= 1 Integer\n",
      "0 <= x1358 <= 1 Integer\n",
      "0 <= x1359 <= 1 Integer\n",
      "0 <= x136 <= 1 Integer\n",
      "0 <= x1360 <= 1 Integer\n",
      "0 <= x1361 <= 1 Integer\n",
      "0 <= x1362 <= 1 Integer\n",
      "0 <= x1363 <= 1 Integer\n",
      "0 <= x1364 <= 1 Integer\n",
      "0 <= x1365 <= 1 Integer\n",
      "0 <= x1366 <= 1 Integer\n",
      "0 <= x1367 <= 1 Integer\n",
      "0 <= x1368 <= 1 Integer\n",
      "0 <= x1369 <= 1 Integer\n",
      "0 <= x137 <= 1 Integer\n",
      "0 <= x1370 <= 1 Integer\n",
      "0 <= x1371 <= 1 Integer\n",
      "0 <= x1372 <= 1 Integer\n",
      "0 <= x1373 <= 1 Integer\n",
      "0 <= x1374 <= 1 Integer\n",
      "0 <= x1375 <= 1 Integer\n",
      "0 <= x1376 <= 1 Integer\n",
      "0 <= x1377 <= 1 Integer\n",
      "0 <= x1378 <= 1 Integer\n",
      "0 <= x1379 <= 1 Integer\n",
      "0 <= x138 <= 1 Integer\n",
      "0 <= x1380 <= 1 Integer\n",
      "0 <= x1381 <= 1 Integer\n",
      "0 <= x1382 <= 1 Integer\n",
      "0 <= x1383 <= 1 Integer\n",
      "0 <= x1384 <= 1 Integer\n",
      "0 <= x1385 <= 1 Integer\n",
      "0 <= x1386 <= 1 Integer\n",
      "0 <= x1387 <= 1 Integer\n",
      "0 <= x1388 <= 1 Integer\n",
      "0 <= x1389 <= 1 Integer\n",
      "0 <= x139 <= 1 Integer\n",
      "0 <= x1390 <= 1 Integer\n",
      "0 <= x1391 <= 1 Integer\n",
      "0 <= x1392 <= 1 Integer\n",
      "0 <= x1393 <= 1 Integer\n",
      "0 <= x1394 <= 1 Integer\n",
      "0 <= x1395 <= 1 Integer\n",
      "0 <= x1396 <= 1 Integer\n",
      "0 <= x1397 <= 1 Integer\n",
      "0 <= x1398 <= 1 Integer\n",
      "0 <= x1399 <= 1 Integer\n",
      "0 <= x14 <= 1 Integer\n",
      "0 <= x140 <= 1 Integer\n",
      "0 <= x1400 <= 1 Integer\n",
      "0 <= x1401 <= 1 Integer\n",
      "0 <= x1402 <= 1 Integer\n",
      "0 <= x1403 <= 1 Integer\n",
      "0 <= x1404 <= 1 Integer\n",
      "0 <= x1405 <= 1 Integer\n",
      "0 <= x1406 <= 1 Integer\n",
      "0 <= x1407 <= 1 Integer\n",
      "0 <= x1408 <= 1 Integer\n",
      "0 <= x1409 <= 1 Integer\n",
      "0 <= x141 <= 1 Integer\n",
      "0 <= x1410 <= 1 Integer\n",
      "0 <= x1411 <= 1 Integer\n",
      "0 <= x1412 <= 1 Integer\n",
      "0 <= x1413 <= 1 Integer\n",
      "0 <= x1414 <= 1 Integer\n",
      "0 <= x1415 <= 1 Integer\n",
      "0 <= x1416 <= 1 Integer\n",
      "0 <= x1417 <= 1 Integer\n",
      "0 <= x1418 <= 1 Integer\n",
      "0 <= x1419 <= 1 Integer\n",
      "0 <= x142 <= 1 Integer\n",
      "0 <= x1420 <= 1 Integer\n",
      "0 <= x1421 <= 1 Integer\n",
      "0 <= x1422 <= 1 Integer\n",
      "0 <= x1423 <= 1 Integer\n",
      "0 <= x1424 <= 1 Integer\n",
      "0 <= x1425 <= 1 Integer\n",
      "0 <= x1426 <= 1 Integer\n",
      "0 <= x1427 <= 1 Integer\n",
      "0 <= x1428 <= 1 Integer\n",
      "0 <= x1429 <= 1 Integer\n",
      "0 <= x143 <= 1 Integer\n",
      "0 <= x1430 <= 1 Integer\n",
      "0 <= x1431 <= 1 Integer\n",
      "0 <= x1432 <= 1 Integer\n",
      "0 <= x1433 <= 1 Integer\n",
      "0 <= x1434 <= 1 Integer\n",
      "0 <= x1435 <= 1 Integer\n",
      "0 <= x1436 <= 1 Integer\n",
      "0 <= x1437 <= 1 Integer\n",
      "0 <= x1438 <= 1 Integer\n",
      "0 <= x1439 <= 1 Integer\n",
      "0 <= x144 <= 1 Integer\n",
      "0 <= x1440 <= 1 Integer\n",
      "0 <= x1441 <= 1 Integer\n",
      "0 <= x1442 <= 1 Integer\n",
      "0 <= x1443 <= 1 Integer\n",
      "0 <= x1444 <= 1 Integer\n",
      "0 <= x1445 <= 1 Integer\n",
      "0 <= x1446 <= 1 Integer\n",
      "0 <= x1447 <= 1 Integer\n",
      "0 <= x1448 <= 1 Integer\n",
      "0 <= x1449 <= 1 Integer\n",
      "0 <= x145 <= 1 Integer\n",
      "0 <= x1450 <= 1 Integer\n",
      "0 <= x1451 <= 1 Integer\n",
      "0 <= x1452 <= 1 Integer\n",
      "0 <= x1453 <= 1 Integer\n",
      "0 <= x1454 <= 1 Integer\n",
      "0 <= x1455 <= 1 Integer\n",
      "0 <= x1456 <= 1 Integer\n",
      "0 <= x1457 <= 1 Integer\n",
      "0 <= x1458 <= 1 Integer\n",
      "0 <= x1459 <= 1 Integer\n",
      "0 <= x146 <= 1 Integer\n",
      "0 <= x1460 <= 1 Integer\n",
      "0 <= x1461 <= 1 Integer\n",
      "0 <= x1462 <= 1 Integer\n",
      "0 <= x1463 <= 1 Integer\n",
      "0 <= x1464 <= 1 Integer\n",
      "0 <= x1465 <= 1 Integer\n",
      "0 <= x1466 <= 1 Integer\n",
      "0 <= x1467 <= 1 Integer\n",
      "0 <= x1468 <= 1 Integer\n",
      "0 <= x1469 <= 1 Integer\n",
      "0 <= x147 <= 1 Integer\n",
      "0 <= x1470 <= 1 Integer\n",
      "0 <= x1471 <= 1 Integer\n",
      "0 <= x1472 <= 1 Integer\n",
      "0 <= x1473 <= 1 Integer\n",
      "0 <= x1474 <= 1 Integer\n",
      "0 <= x1475 <= 1 Integer\n",
      "0 <= x1476 <= 1 Integer\n",
      "0 <= x1477 <= 1 Integer\n",
      "0 <= x1478 <= 1 Integer\n",
      "0 <= x1479 <= 1 Integer\n",
      "0 <= x148 <= 1 Integer\n",
      "0 <= x1480 <= 1 Integer\n",
      "0 <= x1481 <= 1 Integer\n",
      "0 <= x1482 <= 1 Integer\n",
      "0 <= x1483 <= 1 Integer\n",
      "0 <= x1484 <= 1 Integer\n",
      "0 <= x1485 <= 1 Integer\n",
      "0 <= x1486 <= 1 Integer\n",
      "0 <= x1487 <= 1 Integer\n",
      "0 <= x1488 <= 1 Integer\n",
      "0 <= x1489 <= 1 Integer\n",
      "0 <= x149 <= 1 Integer\n",
      "0 <= x1490 <= 1 Integer\n",
      "0 <= x1491 <= 1 Integer\n",
      "0 <= x1492 <= 1 Integer\n",
      "0 <= x1493 <= 1 Integer\n",
      "0 <= x1494 <= 1 Integer\n",
      "0 <= x1495 <= 1 Integer\n",
      "0 <= x1496 <= 1 Integer\n",
      "0 <= x1497 <= 1 Integer\n",
      "0 <= x1498 <= 1 Integer\n",
      "0 <= x1499 <= 1 Integer\n",
      "0 <= x15 <= 1 Integer\n",
      "0 <= x150 <= 1 Integer\n",
      "0 <= x1500 <= 1 Integer\n",
      "0 <= x1501 <= 1 Integer\n",
      "0 <= x1502 <= 1 Integer\n",
      "0 <= x1503 <= 1 Integer\n",
      "0 <= x1504 <= 1 Integer\n",
      "0 <= x1505 <= 1 Integer\n",
      "0 <= x1506 <= 1 Integer\n",
      "0 <= x1507 <= 1 Integer\n",
      "0 <= x1508 <= 1 Integer\n",
      "0 <= x1509 <= 1 Integer\n",
      "0 <= x151 <= 1 Integer\n",
      "0 <= x1510 <= 1 Integer\n",
      "0 <= x1511 <= 1 Integer\n",
      "0 <= x1512 <= 1 Integer\n",
      "0 <= x1513 <= 1 Integer\n",
      "0 <= x1514 <= 1 Integer\n",
      "0 <= x1515 <= 1 Integer\n",
      "0 <= x1516 <= 1 Integer\n",
      "0 <= x1517 <= 1 Integer\n",
      "0 <= x1518 <= 1 Integer\n",
      "0 <= x1519 <= 1 Integer\n",
      "0 <= x152 <= 1 Integer\n",
      "0 <= x1520 <= 1 Integer\n",
      "0 <= x1521 <= 1 Integer\n",
      "0 <= x1522 <= 1 Integer\n",
      "0 <= x1523 <= 1 Integer\n",
      "0 <= x1524 <= 1 Integer\n",
      "0 <= x1525 <= 1 Integer\n",
      "0 <= x1526 <= 1 Integer\n",
      "0 <= x1527 <= 1 Integer\n",
      "0 <= x1528 <= 1 Integer\n",
      "0 <= x1529 <= 1 Integer\n",
      "0 <= x153 <= 1 Integer\n",
      "0 <= x1530 <= 1 Integer\n",
      "0 <= x1531 <= 1 Integer\n",
      "0 <= x1532 <= 1 Integer\n",
      "0 <= x1533 <= 1 Integer\n",
      "0 <= x1534 <= 1 Integer\n",
      "0 <= x1535 <= 1 Integer\n",
      "0 <= x1536 <= 1 Integer\n",
      "0 <= x1537 <= 1 Integer\n",
      "0 <= x1538 <= 1 Integer\n",
      "0 <= x1539 <= 1 Integer\n",
      "0 <= x154 <= 1 Integer\n",
      "0 <= x1540 <= 1 Integer\n",
      "0 <= x1541 <= 1 Integer\n",
      "0 <= x1542 <= 1 Integer\n",
      "0 <= x1543 <= 1 Integer\n",
      "0 <= x1544 <= 1 Integer\n",
      "0 <= x1545 <= 1 Integer\n",
      "0 <= x1546 <= 1 Integer\n",
      "0 <= x1547 <= 1 Integer\n",
      "0 <= x1548 <= 1 Integer\n",
      "0 <= x1549 <= 1 Integer\n",
      "0 <= x155 <= 1 Integer\n",
      "0 <= x1550 <= 1 Integer\n",
      "0 <= x1551 <= 1 Integer\n",
      "0 <= x1552 <= 1 Integer\n",
      "0 <= x1553 <= 1 Integer\n",
      "0 <= x1554 <= 1 Integer\n",
      "0 <= x1555 <= 1 Integer\n",
      "0 <= x1556 <= 1 Integer\n",
      "0 <= x1557 <= 1 Integer\n",
      "0 <= x1558 <= 1 Integer\n",
      "0 <= x1559 <= 1 Integer\n",
      "0 <= x156 <= 1 Integer\n",
      "0 <= x1560 <= 1 Integer\n",
      "0 <= x1561 <= 1 Integer\n",
      "0 <= x1562 <= 1 Integer\n",
      "0 <= x1563 <= 1 Integer\n",
      "0 <= x1564 <= 1 Integer\n",
      "0 <= x1565 <= 1 Integer\n",
      "0 <= x1566 <= 1 Integer\n",
      "0 <= x1567 <= 1 Integer\n",
      "0 <= x1568 <= 1 Integer\n",
      "0 <= x1569 <= 1 Integer\n",
      "0 <= x157 <= 1 Integer\n",
      "0 <= x1570 <= 1 Integer\n",
      "0 <= x1571 <= 1 Integer\n",
      "0 <= x1572 <= 1 Integer\n",
      "0 <= x1573 <= 1 Integer\n",
      "0 <= x1574 <= 1 Integer\n",
      "0 <= x1575 <= 1 Integer\n",
      "0 <= x1576 <= 1 Integer\n",
      "0 <= x1577 <= 1 Integer\n",
      "0 <= x1578 <= 1 Integer\n",
      "0 <= x1579 <= 1 Integer\n",
      "0 <= x158 <= 1 Integer\n",
      "0 <= x1580 <= 1 Integer\n",
      "0 <= x1581 <= 1 Integer\n",
      "0 <= x1582 <= 1 Integer\n",
      "0 <= x1583 <= 1 Integer\n",
      "0 <= x1584 <= 1 Integer\n",
      "0 <= x1585 <= 1 Integer\n",
      "0 <= x1586 <= 1 Integer\n",
      "0 <= x1587 <= 1 Integer\n",
      "0 <= x1588 <= 1 Integer\n",
      "0 <= x1589 <= 1 Integer\n",
      "0 <= x159 <= 1 Integer\n",
      "0 <= x1590 <= 1 Integer\n",
      "0 <= x1591 <= 1 Integer\n",
      "0 <= x1592 <= 1 Integer\n",
      "0 <= x1593 <= 1 Integer\n",
      "0 <= x1594 <= 1 Integer\n",
      "0 <= x1595 <= 1 Integer\n",
      "0 <= x1596 <= 1 Integer\n",
      "0 <= x1597 <= 1 Integer\n",
      "0 <= x1598 <= 1 Integer\n",
      "0 <= x1599 <= 1 Integer\n",
      "0 <= x16 <= 1 Integer\n",
      "0 <= x160 <= 1 Integer\n",
      "0 <= x1600 <= 1 Integer\n",
      "0 <= x1601 <= 1 Integer\n",
      "0 <= x1602 <= 1 Integer\n",
      "0 <= x1603 <= 1 Integer\n",
      "0 <= x1604 <= 1 Integer\n",
      "0 <= x1605 <= 1 Integer\n",
      "0 <= x1606 <= 1 Integer\n",
      "0 <= x1607 <= 1 Integer\n",
      "0 <= x1608 <= 1 Integer\n",
      "0 <= x1609 <= 1 Integer\n",
      "0 <= x161 <= 1 Integer\n",
      "0 <= x1610 <= 1 Integer\n",
      "0 <= x1611 <= 1 Integer\n",
      "0 <= x1612 <= 1 Integer\n",
      "0 <= x1613 <= 1 Integer\n",
      "0 <= x1614 <= 1 Integer\n",
      "0 <= x1615 <= 1 Integer\n",
      "0 <= x1616 <= 1 Integer\n",
      "0 <= x1617 <= 1 Integer\n",
      "0 <= x1618 <= 1 Integer\n",
      "0 <= x1619 <= 1 Integer\n",
      "0 <= x162 <= 1 Integer\n",
      "0 <= x1620 <= 1 Integer\n",
      "0 <= x1621 <= 1 Integer\n",
      "0 <= x1622 <= 1 Integer\n",
      "0 <= x1623 <= 1 Integer\n",
      "0 <= x1624 <= 1 Integer\n",
      "0 <= x1625 <= 1 Integer\n",
      "0 <= x1626 <= 1 Integer\n",
      "0 <= x1627 <= 1 Integer\n",
      "0 <= x1628 <= 1 Integer\n",
      "0 <= x1629 <= 1 Integer\n",
      "0 <= x163 <= 1 Integer\n",
      "0 <= x1630 <= 1 Integer\n",
      "0 <= x1631 <= 1 Integer\n",
      "0 <= x1632 <= 1 Integer\n",
      "0 <= x1633 <= 1 Integer\n",
      "0 <= x1634 <= 1 Integer\n",
      "0 <= x1635 <= 1 Integer\n",
      "0 <= x1636 <= 1 Integer\n",
      "0 <= x1637 <= 1 Integer\n",
      "0 <= x1638 <= 1 Integer\n",
      "0 <= x1639 <= 1 Integer\n",
      "0 <= x164 <= 1 Integer\n",
      "0 <= x1640 <= 1 Integer\n",
      "0 <= x1641 <= 1 Integer\n",
      "0 <= x1642 <= 1 Integer\n",
      "0 <= x1643 <= 1 Integer\n",
      "0 <= x1644 <= 1 Integer\n",
      "0 <= x1645 <= 1 Integer\n",
      "0 <= x1646 <= 1 Integer\n",
      "0 <= x1647 <= 1 Integer\n",
      "0 <= x1648 <= 1 Integer\n",
      "0 <= x1649 <= 1 Integer\n",
      "0 <= x165 <= 1 Integer\n",
      "0 <= x1650 <= 1 Integer\n",
      "0 <= x1651 <= 1 Integer\n",
      "0 <= x1652 <= 1 Integer\n",
      "0 <= x1653 <= 1 Integer\n",
      "0 <= x1654 <= 1 Integer\n",
      "0 <= x1655 <= 1 Integer\n",
      "0 <= x1656 <= 1 Integer\n",
      "0 <= x1657 <= 1 Integer\n",
      "0 <= x1658 <= 1 Integer\n",
      "0 <= x1659 <= 1 Integer\n",
      "0 <= x166 <= 1 Integer\n",
      "0 <= x1660 <= 1 Integer\n",
      "0 <= x1661 <= 1 Integer\n",
      "0 <= x1662 <= 1 Integer\n",
      "0 <= x1663 <= 1 Integer\n",
      "0 <= x1664 <= 1 Integer\n",
      "0 <= x1665 <= 1 Integer\n",
      "0 <= x1666 <= 1 Integer\n",
      "0 <= x1667 <= 1 Integer\n",
      "0 <= x1668 <= 1 Integer\n",
      "0 <= x1669 <= 1 Integer\n",
      "0 <= x167 <= 1 Integer\n",
      "0 <= x1670 <= 1 Integer\n",
      "0 <= x1671 <= 1 Integer\n",
      "0 <= x1672 <= 1 Integer\n",
      "0 <= x1673 <= 1 Integer\n",
      "0 <= x1674 <= 1 Integer\n",
      "0 <= x1675 <= 1 Integer\n",
      "0 <= x1676 <= 1 Integer\n",
      "0 <= x1677 <= 1 Integer\n",
      "0 <= x1678 <= 1 Integer\n",
      "0 <= x1679 <= 1 Integer\n",
      "0 <= x168 <= 1 Integer\n",
      "0 <= x1680 <= 1 Integer\n",
      "0 <= x1681 <= 1 Integer\n",
      "0 <= x1682 <= 1 Integer\n",
      "0 <= x1683 <= 1 Integer\n",
      "0 <= x1684 <= 1 Integer\n",
      "0 <= x1685 <= 1 Integer\n",
      "0 <= x1686 <= 1 Integer\n",
      "0 <= x1687 <= 1 Integer\n",
      "0 <= x1688 <= 1 Integer\n",
      "0 <= x1689 <= 1 Integer\n",
      "0 <= x169 <= 1 Integer\n",
      "0 <= x1690 <= 1 Integer\n",
      "0 <= x1691 <= 1 Integer\n",
      "0 <= x1692 <= 1 Integer\n",
      "0 <= x1693 <= 1 Integer\n",
      "0 <= x1694 <= 1 Integer\n",
      "0 <= x1695 <= 1 Integer\n",
      "0 <= x1696 <= 1 Integer\n",
      "0 <= x1697 <= 1 Integer\n",
      "0 <= x1698 <= 1 Integer\n",
      "0 <= x1699 <= 1 Integer\n",
      "0 <= x17 <= 1 Integer\n",
      "0 <= x170 <= 1 Integer\n",
      "0 <= x1700 <= 1 Integer\n",
      "0 <= x1701 <= 1 Integer\n",
      "0 <= x1702 <= 1 Integer\n",
      "0 <= x1703 <= 1 Integer\n",
      "0 <= x1704 <= 1 Integer\n",
      "0 <= x1705 <= 1 Integer\n",
      "0 <= x1706 <= 1 Integer\n",
      "0 <= x1707 <= 1 Integer\n",
      "0 <= x1708 <= 1 Integer\n",
      "0 <= x1709 <= 1 Integer\n",
      "0 <= x171 <= 1 Integer\n",
      "0 <= x1710 <= 1 Integer\n",
      "0 <= x1711 <= 1 Integer\n",
      "0 <= x1712 <= 1 Integer\n",
      "0 <= x1713 <= 1 Integer\n",
      "0 <= x1714 <= 1 Integer\n",
      "0 <= x1715 <= 1 Integer\n",
      "0 <= x1716 <= 1 Integer\n",
      "0 <= x1717 <= 1 Integer\n",
      "0 <= x1718 <= 1 Integer\n",
      "0 <= x1719 <= 1 Integer\n",
      "0 <= x172 <= 1 Integer\n",
      "0 <= x1720 <= 1 Integer\n",
      "0 <= x1721 <= 1 Integer\n",
      "0 <= x1722 <= 1 Integer\n",
      "0 <= x1723 <= 1 Integer\n",
      "0 <= x1724 <= 1 Integer\n",
      "0 <= x1725 <= 1 Integer\n",
      "0 <= x1726 <= 1 Integer\n",
      "0 <= x1727 <= 1 Integer\n",
      "0 <= x1728 <= 1 Integer\n",
      "0 <= x1729 <= 1 Integer\n",
      "0 <= x173 <= 1 Integer\n",
      "0 <= x1730 <= 1 Integer\n",
      "0 <= x1731 <= 1 Integer\n",
      "0 <= x1732 <= 1 Integer\n",
      "0 <= x1733 <= 1 Integer\n",
      "0 <= x1734 <= 1 Integer\n",
      "0 <= x1735 <= 1 Integer\n",
      "0 <= x1736 <= 1 Integer\n",
      "0 <= x1737 <= 1 Integer\n",
      "0 <= x1738 <= 1 Integer\n",
      "0 <= x1739 <= 1 Integer\n",
      "0 <= x174 <= 1 Integer\n",
      "0 <= x1740 <= 1 Integer\n",
      "0 <= x1741 <= 1 Integer\n",
      "0 <= x1742 <= 1 Integer\n",
      "0 <= x1743 <= 1 Integer\n",
      "0 <= x1744 <= 1 Integer\n",
      "0 <= x1745 <= 1 Integer\n",
      "0 <= x1746 <= 1 Integer\n",
      "0 <= x1747 <= 1 Integer\n",
      "0 <= x1748 <= 1 Integer\n",
      "0 <= x1749 <= 1 Integer\n",
      "0 <= x175 <= 1 Integer\n",
      "0 <= x1750 <= 1 Integer\n",
      "0 <= x1751 <= 1 Integer\n",
      "0 <= x1752 <= 1 Integer\n",
      "0 <= x1753 <= 1 Integer\n",
      "0 <= x1754 <= 1 Integer\n",
      "0 <= x1755 <= 1 Integer\n",
      "0 <= x1756 <= 1 Integer\n",
      "0 <= x1757 <= 1 Integer\n",
      "0 <= x1758 <= 1 Integer\n",
      "0 <= x1759 <= 1 Integer\n",
      "0 <= x176 <= 1 Integer\n",
      "0 <= x1760 <= 1 Integer\n",
      "0 <= x1761 <= 1 Integer\n",
      "0 <= x1762 <= 1 Integer\n",
      "0 <= x1763 <= 1 Integer\n",
      "0 <= x1764 <= 1 Integer\n",
      "0 <= x1765 <= 1 Integer\n",
      "0 <= x1766 <= 1 Integer\n",
      "0 <= x1767 <= 1 Integer\n",
      "0 <= x1768 <= 1 Integer\n",
      "0 <= x1769 <= 1 Integer\n",
      "0 <= x177 <= 1 Integer\n",
      "0 <= x1770 <= 1 Integer\n",
      "0 <= x1771 <= 1 Integer\n",
      "0 <= x1772 <= 1 Integer\n",
      "0 <= x1773 <= 1 Integer\n",
      "0 <= x1774 <= 1 Integer\n",
      "0 <= x1775 <= 1 Integer\n",
      "0 <= x1776 <= 1 Integer\n",
      "0 <= x1777 <= 1 Integer\n",
      "0 <= x1778 <= 1 Integer\n",
      "0 <= x1779 <= 1 Integer\n",
      "0 <= x178 <= 1 Integer\n",
      "0 <= x1780 <= 1 Integer\n",
      "0 <= x1781 <= 1 Integer\n",
      "0 <= x1782 <= 1 Integer\n",
      "0 <= x1783 <= 1 Integer\n",
      "0 <= x1784 <= 1 Integer\n",
      "0 <= x1785 <= 1 Integer\n",
      "0 <= x1786 <= 1 Integer\n",
      "0 <= x1787 <= 1 Integer\n",
      "0 <= x1788 <= 1 Integer\n",
      "0 <= x1789 <= 1 Integer\n",
      "0 <= x179 <= 1 Integer\n",
      "0 <= x1790 <= 1 Integer\n",
      "0 <= x1791 <= 1 Integer\n",
      "0 <= x1792 <= 1 Integer\n",
      "0 <= x1793 <= 1 Integer\n",
      "0 <= x1794 <= 1 Integer\n",
      "0 <= x1795 <= 1 Integer\n",
      "0 <= x1796 <= 1 Integer\n",
      "0 <= x1797 <= 1 Integer\n",
      "0 <= x1798 <= 1 Integer\n",
      "0 <= x1799 <= 1 Integer\n",
      "0 <= x18 <= 1 Integer\n",
      "0 <= x180 <= 1 Integer\n",
      "0 <= x1800 <= 1 Integer\n",
      "0 <= x1801 <= 1 Integer\n",
      "0 <= x1802 <= 1 Integer\n",
      "0 <= x1803 <= 1 Integer\n",
      "0 <= x1804 <= 1 Integer\n",
      "0 <= x1805 <= 1 Integer\n",
      "0 <= x1806 <= 1 Integer\n",
      "0 <= x1807 <= 1 Integer\n",
      "0 <= x1808 <= 1 Integer\n",
      "0 <= x1809 <= 1 Integer\n",
      "0 <= x181 <= 1 Integer\n",
      "0 <= x1810 <= 1 Integer\n",
      "0 <= x1811 <= 1 Integer\n",
      "0 <= x1812 <= 1 Integer\n",
      "0 <= x1813 <= 1 Integer\n",
      "0 <= x1814 <= 1 Integer\n",
      "0 <= x1815 <= 1 Integer\n",
      "0 <= x1816 <= 1 Integer\n",
      "0 <= x1817 <= 1 Integer\n",
      "0 <= x1818 <= 1 Integer\n",
      "0 <= x1819 <= 1 Integer\n",
      "0 <= x182 <= 1 Integer\n",
      "0 <= x1820 <= 1 Integer\n",
      "0 <= x1821 <= 1 Integer\n",
      "0 <= x1822 <= 1 Integer\n",
      "0 <= x1823 <= 1 Integer\n",
      "0 <= x1824 <= 1 Integer\n",
      "0 <= x1825 <= 1 Integer\n",
      "0 <= x1826 <= 1 Integer\n",
      "0 <= x1827 <= 1 Integer\n",
      "0 <= x1828 <= 1 Integer\n",
      "0 <= x1829 <= 1 Integer\n",
      "0 <= x183 <= 1 Integer\n",
      "0 <= x1830 <= 1 Integer\n",
      "0 <= x1831 <= 1 Integer\n",
      "0 <= x1832 <= 1 Integer\n",
      "0 <= x1833 <= 1 Integer\n",
      "0 <= x1834 <= 1 Integer\n",
      "0 <= x1835 <= 1 Integer\n",
      "0 <= x1836 <= 1 Integer\n",
      "0 <= x1837 <= 1 Integer\n",
      "0 <= x1838 <= 1 Integer\n",
      "0 <= x1839 <= 1 Integer\n",
      "0 <= x184 <= 1 Integer\n",
      "0 <= x1840 <= 1 Integer\n",
      "0 <= x1841 <= 1 Integer\n",
      "0 <= x1842 <= 1 Integer\n",
      "0 <= x1843 <= 1 Integer\n",
      "0 <= x1844 <= 1 Integer\n",
      "0 <= x1845 <= 1 Integer\n",
      "0 <= x1846 <= 1 Integer\n",
      "0 <= x1847 <= 1 Integer\n",
      "0 <= x1848 <= 1 Integer\n",
      "0 <= x1849 <= 1 Integer\n",
      "0 <= x185 <= 1 Integer\n",
      "0 <= x1850 <= 1 Integer\n",
      "0 <= x1851 <= 1 Integer\n",
      "0 <= x1852 <= 1 Integer\n",
      "0 <= x1853 <= 1 Integer\n",
      "0 <= x1854 <= 1 Integer\n",
      "0 <= x1855 <= 1 Integer\n",
      "0 <= x1856 <= 1 Integer\n",
      "0 <= x1857 <= 1 Integer\n",
      "0 <= x1858 <= 1 Integer\n",
      "0 <= x1859 <= 1 Integer\n",
      "0 <= x186 <= 1 Integer\n",
      "0 <= x1860 <= 1 Integer\n",
      "0 <= x1861 <= 1 Integer\n",
      "0 <= x1862 <= 1 Integer\n",
      "0 <= x1863 <= 1 Integer\n",
      "0 <= x1864 <= 1 Integer\n",
      "0 <= x1865 <= 1 Integer\n",
      "0 <= x1866 <= 1 Integer\n",
      "0 <= x1867 <= 1 Integer\n",
      "0 <= x1868 <= 1 Integer\n",
      "0 <= x1869 <= 1 Integer\n",
      "0 <= x187 <= 1 Integer\n",
      "0 <= x1870 <= 1 Integer\n",
      "0 <= x1871 <= 1 Integer\n",
      "0 <= x1872 <= 1 Integer\n",
      "0 <= x1873 <= 1 Integer\n",
      "0 <= x1874 <= 1 Integer\n",
      "0 <= x1875 <= 1 Integer\n",
      "0 <= x1876 <= 1 Integer\n",
      "0 <= x1877 <= 1 Integer\n",
      "0 <= x1878 <= 1 Integer\n",
      "0 <= x1879 <= 1 Integer\n",
      "0 <= x188 <= 1 Integer\n",
      "0 <= x1880 <= 1 Integer\n",
      "0 <= x1881 <= 1 Integer\n",
      "0 <= x1882 <= 1 Integer\n",
      "0 <= x1883 <= 1 Integer\n",
      "0 <= x1884 <= 1 Integer\n",
      "0 <= x1885 <= 1 Integer\n",
      "0 <= x1886 <= 1 Integer\n",
      "0 <= x1887 <= 1 Integer\n",
      "0 <= x1888 <= 1 Integer\n",
      "0 <= x1889 <= 1 Integer\n",
      "0 <= x189 <= 1 Integer\n",
      "0 <= x1890 <= 1 Integer\n",
      "0 <= x1891 <= 1 Integer\n",
      "0 <= x1892 <= 1 Integer\n",
      "0 <= x1893 <= 1 Integer\n",
      "0 <= x1894 <= 1 Integer\n",
      "0 <= x1895 <= 1 Integer\n",
      "0 <= x1896 <= 1 Integer\n",
      "0 <= x1897 <= 1 Integer\n",
      "0 <= x1898 <= 1 Integer\n",
      "0 <= x1899 <= 1 Integer\n",
      "0 <= x19 <= 1 Integer\n",
      "0 <= x190 <= 1 Integer\n",
      "0 <= x1900 <= 1 Integer\n",
      "0 <= x1901 <= 1 Integer\n",
      "0 <= x1902 <= 1 Integer\n",
      "0 <= x1903 <= 1 Integer\n",
      "0 <= x1904 <= 1 Integer\n",
      "0 <= x1905 <= 1 Integer\n",
      "0 <= x1906 <= 1 Integer\n",
      "0 <= x1907 <= 1 Integer\n",
      "0 <= x1908 <= 1 Integer\n",
      "0 <= x1909 <= 1 Integer\n",
      "0 <= x191 <= 1 Integer\n",
      "0 <= x1910 <= 1 Integer\n",
      "0 <= x1911 <= 1 Integer\n",
      "0 <= x1912 <= 1 Integer\n",
      "0 <= x1913 <= 1 Integer\n",
      "0 <= x1914 <= 1 Integer\n",
      "0 <= x1915 <= 1 Integer\n",
      "0 <= x1916 <= 1 Integer\n",
      "0 <= x1917 <= 1 Integer\n",
      "0 <= x1918 <= 1 Integer\n",
      "0 <= x1919 <= 1 Integer\n",
      "0 <= x192 <= 1 Integer\n",
      "0 <= x1920 <= 1 Integer\n",
      "0 <= x1921 <= 1 Integer\n",
      "0 <= x1922 <= 1 Integer\n",
      "0 <= x1923 <= 1 Integer\n",
      "0 <= x1924 <= 1 Integer\n",
      "0 <= x1925 <= 1 Integer\n",
      "0 <= x1926 <= 1 Integer\n",
      "0 <= x1927 <= 1 Integer\n",
      "0 <= x1928 <= 1 Integer\n",
      "0 <= x1929 <= 1 Integer\n",
      "0 <= x193 <= 1 Integer\n",
      "0 <= x1930 <= 1 Integer\n",
      "0 <= x1931 <= 1 Integer\n",
      "0 <= x1932 <= 1 Integer\n",
      "0 <= x1933 <= 1 Integer\n",
      "0 <= x1934 <= 1 Integer\n",
      "0 <= x1935 <= 1 Integer\n",
      "0 <= x1936 <= 1 Integer\n",
      "0 <= x1937 <= 1 Integer\n",
      "0 <= x1938 <= 1 Integer\n",
      "0 <= x1939 <= 1 Integer\n",
      "0 <= x194 <= 1 Integer\n",
      "0 <= x1940 <= 1 Integer\n",
      "0 <= x1941 <= 1 Integer\n",
      "0 <= x1942 <= 1 Integer\n",
      "0 <= x1943 <= 1 Integer\n",
      "0 <= x1944 <= 1 Integer\n",
      "0 <= x1945 <= 1 Integer\n",
      "0 <= x1946 <= 1 Integer\n",
      "0 <= x1947 <= 1 Integer\n",
      "0 <= x1948 <= 1 Integer\n",
      "0 <= x1949 <= 1 Integer\n",
      "0 <= x195 <= 1 Integer\n",
      "0 <= x1950 <= 1 Integer\n",
      "0 <= x1951 <= 1 Integer\n",
      "0 <= x1952 <= 1 Integer\n",
      "0 <= x1953 <= 1 Integer\n",
      "0 <= x1954 <= 1 Integer\n",
      "0 <= x1955 <= 1 Integer\n",
      "0 <= x1956 <= 1 Integer\n",
      "0 <= x1957 <= 1 Integer\n",
      "0 <= x1958 <= 1 Integer\n",
      "0 <= x1959 <= 1 Integer\n",
      "0 <= x196 <= 1 Integer\n",
      "0 <= x1960 <= 1 Integer\n",
      "0 <= x1961 <= 1 Integer\n",
      "0 <= x1962 <= 1 Integer\n",
      "0 <= x1963 <= 1 Integer\n",
      "0 <= x1964 <= 1 Integer\n",
      "0 <= x1965 <= 1 Integer\n",
      "0 <= x1966 <= 1 Integer\n",
      "0 <= x1967 <= 1 Integer\n",
      "0 <= x1968 <= 1 Integer\n",
      "0 <= x1969 <= 1 Integer\n",
      "0 <= x197 <= 1 Integer\n",
      "0 <= x1970 <= 1 Integer\n",
      "0 <= x1971 <= 1 Integer\n",
      "0 <= x1972 <= 1 Integer\n",
      "0 <= x1973 <= 1 Integer\n",
      "0 <= x1974 <= 1 Integer\n",
      "0 <= x1975 <= 1 Integer\n",
      "0 <= x1976 <= 1 Integer\n",
      "0 <= x1977 <= 1 Integer\n",
      "0 <= x1978 <= 1 Integer\n",
      "0 <= x1979 <= 1 Integer\n",
      "0 <= x198 <= 1 Integer\n",
      "0 <= x1980 <= 1 Integer\n",
      "0 <= x1981 <= 1 Integer\n",
      "0 <= x1982 <= 1 Integer\n",
      "0 <= x1983 <= 1 Integer\n",
      "0 <= x1984 <= 1 Integer\n",
      "0 <= x1985 <= 1 Integer\n",
      "0 <= x1986 <= 1 Integer\n",
      "0 <= x1987 <= 1 Integer\n",
      "0 <= x1988 <= 1 Integer\n",
      "0 <= x1989 <= 1 Integer\n",
      "0 <= x199 <= 1 Integer\n",
      "0 <= x1990 <= 1 Integer\n",
      "0 <= x1991 <= 1 Integer\n",
      "0 <= x1992 <= 1 Integer\n",
      "0 <= x1993 <= 1 Integer\n",
      "0 <= x1994 <= 1 Integer\n",
      "0 <= x1995 <= 1 Integer\n",
      "0 <= x1996 <= 1 Integer\n",
      "0 <= x1997 <= 1 Integer\n",
      "0 <= x1998 <= 1 Integer\n",
      "0 <= x1999 <= 1 Integer\n",
      "0 <= x2 <= 1 Integer\n",
      "0 <= x20 <= 1 Integer\n",
      "0 <= x200 <= 1 Integer\n",
      "0 <= x2000 <= 1 Integer\n",
      "0 <= x2001 <= 1 Integer\n",
      "0 <= x2002 <= 1 Integer\n",
      "0 <= x2003 <= 1 Integer\n",
      "0 <= x2004 <= 1 Integer\n",
      "0 <= x2005 <= 1 Integer\n",
      "0 <= x2006 <= 1 Integer\n",
      "0 <= x2007 <= 1 Integer\n",
      "0 <= x2008 <= 1 Integer\n",
      "0 <= x2009 <= 1 Integer\n",
      "0 <= x201 <= 1 Integer\n",
      "0 <= x2010 <= 1 Integer\n",
      "0 <= x2011 <= 1 Integer\n",
      "0 <= x2012 <= 1 Integer\n",
      "0 <= x2013 <= 1 Integer\n",
      "0 <= x2014 <= 1 Integer\n",
      "0 <= x2015 <= 1 Integer\n",
      "0 <= x2016 <= 1 Integer\n",
      "0 <= x2017 <= 1 Integer\n",
      "0 <= x2018 <= 1 Integer\n",
      "0 <= x2019 <= 1 Integer\n",
      "0 <= x202 <= 1 Integer\n",
      "0 <= x2020 <= 1 Integer\n",
      "0 <= x2021 <= 1 Integer\n",
      "0 <= x2022 <= 1 Integer\n",
      "0 <= x2023 <= 1 Integer\n",
      "0 <= x2024 <= 1 Integer\n",
      "0 <= x2025 <= 1 Integer\n",
      "0 <= x2026 <= 1 Integer\n",
      "0 <= x2027 <= 1 Integer\n",
      "0 <= x2028 <= 1 Integer\n",
      "0 <= x2029 <= 1 Integer\n",
      "0 <= x203 <= 1 Integer\n",
      "0 <= x2030 <= 1 Integer\n",
      "0 <= x2031 <= 1 Integer\n",
      "0 <= x2032 <= 1 Integer\n",
      "0 <= x2033 <= 1 Integer\n",
      "0 <= x2034 <= 1 Integer\n",
      "0 <= x2035 <= 1 Integer\n",
      "0 <= x2036 <= 1 Integer\n",
      "0 <= x2037 <= 1 Integer\n",
      "0 <= x2038 <= 1 Integer\n",
      "0 <= x2039 <= 1 Integer\n",
      "0 <= x204 <= 1 Integer\n",
      "0 <= x2040 <= 1 Integer\n",
      "0 <= x2041 <= 1 Integer\n",
      "0 <= x2042 <= 1 Integer\n",
      "0 <= x2043 <= 1 Integer\n",
      "0 <= x2044 <= 1 Integer\n",
      "0 <= x2045 <= 1 Integer\n",
      "0 <= x2046 <= 1 Integer\n",
      "0 <= x2047 <= 1 Integer\n",
      "0 <= x2048 <= 1 Integer\n",
      "0 <= x2049 <= 1 Integer\n",
      "0 <= x205 <= 1 Integer\n",
      "0 <= x2050 <= 1 Integer\n",
      "0 <= x2051 <= 1 Integer\n",
      "0 <= x2052 <= 1 Integer\n",
      "0 <= x2053 <= 1 Integer\n",
      "0 <= x2054 <= 1 Integer\n",
      "0 <= x2055 <= 1 Integer\n",
      "0 <= x2056 <= 1 Integer\n",
      "0 <= x2057 <= 1 Integer\n",
      "0 <= x2058 <= 1 Integer\n",
      "0 <= x2059 <= 1 Integer\n",
      "0 <= x206 <= 1 Integer\n",
      "0 <= x2060 <= 1 Integer\n",
      "0 <= x2061 <= 1 Integer\n",
      "0 <= x2062 <= 1 Integer\n",
      "0 <= x2063 <= 1 Integer\n",
      "0 <= x2064 <= 1 Integer\n",
      "0 <= x2065 <= 1 Integer\n",
      "0 <= x2066 <= 1 Integer\n",
      "0 <= x2067 <= 1 Integer\n",
      "0 <= x2068 <= 1 Integer\n",
      "0 <= x2069 <= 1 Integer\n",
      "0 <= x207 <= 1 Integer\n",
      "0 <= x2070 <= 1 Integer\n",
      "0 <= x2071 <= 1 Integer\n",
      "0 <= x2072 <= 1 Integer\n",
      "0 <= x2073 <= 1 Integer\n",
      "0 <= x2074 <= 1 Integer\n",
      "0 <= x2075 <= 1 Integer\n",
      "0 <= x2076 <= 1 Integer\n",
      "0 <= x2077 <= 1 Integer\n",
      "0 <= x2078 <= 1 Integer\n",
      "0 <= x2079 <= 1 Integer\n",
      "0 <= x208 <= 1 Integer\n",
      "0 <= x2080 <= 1 Integer\n",
      "0 <= x2081 <= 1 Integer\n",
      "0 <= x2082 <= 1 Integer\n",
      "0 <= x2083 <= 1 Integer\n",
      "0 <= x2084 <= 1 Integer\n",
      "0 <= x2085 <= 1 Integer\n",
      "0 <= x2086 <= 1 Integer\n",
      "0 <= x2087 <= 1 Integer\n",
      "0 <= x2088 <= 1 Integer\n",
      "0 <= x2089 <= 1 Integer\n",
      "0 <= x209 <= 1 Integer\n",
      "0 <= x2090 <= 1 Integer\n",
      "0 <= x2091 <= 1 Integer\n",
      "0 <= x2092 <= 1 Integer\n",
      "0 <= x2093 <= 1 Integer\n",
      "0 <= x2094 <= 1 Integer\n",
      "0 <= x2095 <= 1 Integer\n",
      "0 <= x2096 <= 1 Integer\n",
      "0 <= x2097 <= 1 Integer\n",
      "0 <= x2098 <= 1 Integer\n",
      "0 <= x2099 <= 1 Integer\n",
      "0 <= x21 <= 1 Integer\n",
      "0 <= x210 <= 1 Integer\n",
      "0 <= x2100 <= 1 Integer\n",
      "0 <= x2101 <= 1 Integer\n",
      "0 <= x2102 <= 1 Integer\n",
      "0 <= x2103 <= 1 Integer\n",
      "0 <= x2104 <= 1 Integer\n",
      "0 <= x2105 <= 1 Integer\n",
      "0 <= x2106 <= 1 Integer\n",
      "0 <= x2107 <= 1 Integer\n",
      "0 <= x2108 <= 1 Integer\n",
      "0 <= x2109 <= 1 Integer\n",
      "0 <= x211 <= 1 Integer\n",
      "0 <= x2110 <= 1 Integer\n",
      "0 <= x2111 <= 1 Integer\n",
      "0 <= x2112 <= 1 Integer\n",
      "0 <= x2113 <= 1 Integer\n",
      "0 <= x2114 <= 1 Integer\n",
      "0 <= x2115 <= 1 Integer\n",
      "0 <= x2116 <= 1 Integer\n",
      "0 <= x2117 <= 1 Integer\n",
      "0 <= x2118 <= 1 Integer\n",
      "0 <= x2119 <= 1 Integer\n",
      "0 <= x212 <= 1 Integer\n",
      "0 <= x2120 <= 1 Integer\n",
      "0 <= x2121 <= 1 Integer\n",
      "0 <= x2122 <= 1 Integer\n",
      "0 <= x2123 <= 1 Integer\n",
      "0 <= x2124 <= 1 Integer\n",
      "0 <= x2125 <= 1 Integer\n",
      "0 <= x2126 <= 1 Integer\n",
      "0 <= x2127 <= 1 Integer\n",
      "0 <= x2128 <= 1 Integer\n",
      "0 <= x2129 <= 1 Integer\n",
      "0 <= x213 <= 1 Integer\n",
      "0 <= x2130 <= 1 Integer\n",
      "0 <= x2131 <= 1 Integer\n",
      "0 <= x2132 <= 1 Integer\n",
      "0 <= x2133 <= 1 Integer\n",
      "0 <= x2134 <= 1 Integer\n",
      "0 <= x2135 <= 1 Integer\n",
      "0 <= x2136 <= 1 Integer\n",
      "0 <= x2137 <= 1 Integer\n",
      "0 <= x2138 <= 1 Integer\n",
      "0 <= x2139 <= 1 Integer\n",
      "0 <= x214 <= 1 Integer\n",
      "0 <= x2140 <= 1 Integer\n",
      "0 <= x2141 <= 1 Integer\n",
      "0 <= x2142 <= 1 Integer\n",
      "0 <= x2143 <= 1 Integer\n",
      "0 <= x2144 <= 1 Integer\n",
      "0 <= x2145 <= 1 Integer\n",
      "0 <= x2146 <= 1 Integer\n",
      "0 <= x2147 <= 1 Integer\n",
      "0 <= x2148 <= 1 Integer\n",
      "0 <= x2149 <= 1 Integer\n",
      "0 <= x215 <= 1 Integer\n",
      "0 <= x2150 <= 1 Integer\n",
      "0 <= x2151 <= 1 Integer\n",
      "0 <= x2152 <= 1 Integer\n",
      "0 <= x2153 <= 1 Integer\n",
      "0 <= x2154 <= 1 Integer\n",
      "0 <= x2155 <= 1 Integer\n",
      "0 <= x2156 <= 1 Integer\n",
      "0 <= x2157 <= 1 Integer\n",
      "0 <= x2158 <= 1 Integer\n",
      "0 <= x2159 <= 1 Integer\n",
      "0 <= x216 <= 1 Integer\n",
      "0 <= x2160 <= 1 Integer\n",
      "0 <= x2161 <= 1 Integer\n",
      "0 <= x2162 <= 1 Integer\n",
      "0 <= x2163 <= 1 Integer\n",
      "0 <= x2164 <= 1 Integer\n",
      "0 <= x2165 <= 1 Integer\n",
      "0 <= x2166 <= 1 Integer\n",
      "0 <= x2167 <= 1 Integer\n",
      "0 <= x2168 <= 1 Integer\n",
      "0 <= x2169 <= 1 Integer\n",
      "0 <= x217 <= 1 Integer\n",
      "0 <= x2170 <= 1 Integer\n",
      "0 <= x2171 <= 1 Integer\n",
      "0 <= x2172 <= 1 Integer\n",
      "0 <= x2173 <= 1 Integer\n",
      "0 <= x2174 <= 1 Integer\n",
      "0 <= x2175 <= 1 Integer\n",
      "0 <= x2176 <= 1 Integer\n",
      "0 <= x2177 <= 1 Integer\n",
      "0 <= x2178 <= 1 Integer\n",
      "0 <= x2179 <= 1 Integer\n",
      "0 <= x218 <= 1 Integer\n",
      "0 <= x2180 <= 1 Integer\n",
      "0 <= x2181 <= 1 Integer\n",
      "0 <= x2182 <= 1 Integer\n",
      "0 <= x2183 <= 1 Integer\n",
      "0 <= x2184 <= 1 Integer\n",
      "0 <= x2185 <= 1 Integer\n",
      "0 <= x2186 <= 1 Integer\n",
      "0 <= x2187 <= 1 Integer\n",
      "0 <= x2188 <= 1 Integer\n",
      "0 <= x2189 <= 1 Integer\n",
      "0 <= x219 <= 1 Integer\n",
      "0 <= x2190 <= 1 Integer\n",
      "0 <= x2191 <= 1 Integer\n",
      "0 <= x2192 <= 1 Integer\n",
      "0 <= x2193 <= 1 Integer\n",
      "0 <= x2194 <= 1 Integer\n",
      "0 <= x2195 <= 1 Integer\n",
      "0 <= x2196 <= 1 Integer\n",
      "0 <= x2197 <= 1 Integer\n",
      "0 <= x2198 <= 1 Integer\n",
      "0 <= x2199 <= 1 Integer\n",
      "0 <= x22 <= 1 Integer\n",
      "0 <= x220 <= 1 Integer\n",
      "0 <= x2200 <= 1 Integer\n",
      "0 <= x2201 <= 1 Integer\n",
      "0 <= x2202 <= 1 Integer\n",
      "0 <= x2203 <= 1 Integer\n",
      "0 <= x2204 <= 1 Integer\n",
      "0 <= x2205 <= 1 Integer\n",
      "0 <= x2206 <= 1 Integer\n",
      "0 <= x2207 <= 1 Integer\n",
      "0 <= x2208 <= 1 Integer\n",
      "0 <= x2209 <= 1 Integer\n",
      "0 <= x221 <= 1 Integer\n",
      "0 <= x2210 <= 1 Integer\n",
      "0 <= x2211 <= 1 Integer\n",
      "0 <= x2212 <= 1 Integer\n",
      "0 <= x2213 <= 1 Integer\n",
      "0 <= x2214 <= 1 Integer\n",
      "0 <= x2215 <= 1 Integer\n",
      "0 <= x2216 <= 1 Integer\n",
      "0 <= x2217 <= 1 Integer\n",
      "0 <= x2218 <= 1 Integer\n",
      "0 <= x2219 <= 1 Integer\n",
      "0 <= x222 <= 1 Integer\n",
      "0 <= x2220 <= 1 Integer\n",
      "0 <= x2221 <= 1 Integer\n",
      "0 <= x2222 <= 1 Integer\n",
      "0 <= x2223 <= 1 Integer\n",
      "0 <= x2224 <= 1 Integer\n",
      "0 <= x2225 <= 1 Integer\n",
      "0 <= x2226 <= 1 Integer\n",
      "0 <= x2227 <= 1 Integer\n",
      "0 <= x2228 <= 1 Integer\n",
      "0 <= x2229 <= 1 Integer\n",
      "0 <= x223 <= 1 Integer\n",
      "0 <= x2230 <= 1 Integer\n",
      "0 <= x2231 <= 1 Integer\n",
      "0 <= x2232 <= 1 Integer\n",
      "0 <= x2233 <= 1 Integer\n",
      "0 <= x2234 <= 1 Integer\n",
      "0 <= x2235 <= 1 Integer\n",
      "0 <= x2236 <= 1 Integer\n",
      "0 <= x2237 <= 1 Integer\n",
      "0 <= x2238 <= 1 Integer\n",
      "0 <= x2239 <= 1 Integer\n",
      "0 <= x224 <= 1 Integer\n",
      "0 <= x2240 <= 1 Integer\n",
      "0 <= x2241 <= 1 Integer\n",
      "0 <= x2242 <= 1 Integer\n",
      "0 <= x2243 <= 1 Integer\n",
      "0 <= x2244 <= 1 Integer\n",
      "0 <= x2245 <= 1 Integer\n",
      "0 <= x2246 <= 1 Integer\n",
      "0 <= x2247 <= 1 Integer\n",
      "0 <= x2248 <= 1 Integer\n",
      "0 <= x2249 <= 1 Integer\n",
      "0 <= x225 <= 1 Integer\n",
      "0 <= x2250 <= 1 Integer\n",
      "0 <= x2251 <= 1 Integer\n",
      "0 <= x2252 <= 1 Integer\n",
      "0 <= x2253 <= 1 Integer\n",
      "0 <= x2254 <= 1 Integer\n",
      "0 <= x2255 <= 1 Integer\n",
      "0 <= x2256 <= 1 Integer\n",
      "0 <= x2257 <= 1 Integer\n",
      "0 <= x2258 <= 1 Integer\n",
      "0 <= x2259 <= 1 Integer\n",
      "0 <= x226 <= 1 Integer\n",
      "0 <= x2260 <= 1 Integer\n",
      "0 <= x2261 <= 1 Integer\n",
      "0 <= x2262 <= 1 Integer\n",
      "0 <= x2263 <= 1 Integer\n",
      "0 <= x2264 <= 1 Integer\n",
      "0 <= x2265 <= 1 Integer\n",
      "0 <= x2266 <= 1 Integer\n",
      "0 <= x2267 <= 1 Integer\n",
      "0 <= x2268 <= 1 Integer\n",
      "0 <= x2269 <= 1 Integer\n",
      "0 <= x227 <= 1 Integer\n",
      "0 <= x2270 <= 1 Integer\n",
      "0 <= x2271 <= 1 Integer\n",
      "0 <= x2272 <= 1 Integer\n",
      "0 <= x2273 <= 1 Integer\n",
      "0 <= x2274 <= 1 Integer\n",
      "0 <= x2275 <= 1 Integer\n",
      "0 <= x2276 <= 1 Integer\n",
      "0 <= x2277 <= 1 Integer\n",
      "0 <= x2278 <= 1 Integer\n",
      "0 <= x2279 <= 1 Integer\n",
      "0 <= x228 <= 1 Integer\n",
      "0 <= x2280 <= 1 Integer\n",
      "0 <= x2281 <= 1 Integer\n",
      "0 <= x2282 <= 1 Integer\n",
      "0 <= x2283 <= 1 Integer\n",
      "0 <= x2284 <= 1 Integer\n",
      "0 <= x2285 <= 1 Integer\n",
      "0 <= x2286 <= 1 Integer\n",
      "0 <= x2287 <= 1 Integer\n",
      "0 <= x2288 <= 1 Integer\n",
      "0 <= x2289 <= 1 Integer\n",
      "0 <= x229 <= 1 Integer\n",
      "0 <= x2290 <= 1 Integer\n",
      "0 <= x2291 <= 1 Integer\n",
      "0 <= x2292 <= 1 Integer\n",
      "0 <= x2293 <= 1 Integer\n",
      "0 <= x2294 <= 1 Integer\n",
      "0 <= x2295 <= 1 Integer\n",
      "0 <= x2296 <= 1 Integer\n",
      "0 <= x2297 <= 1 Integer\n",
      "0 <= x2298 <= 1 Integer\n",
      "0 <= x2299 <= 1 Integer\n",
      "0 <= x23 <= 1 Integer\n",
      "0 <= x230 <= 1 Integer\n",
      "0 <= x2300 <= 1 Integer\n",
      "0 <= x2301 <= 1 Integer\n",
      "0 <= x2302 <= 1 Integer\n",
      "0 <= x2303 <= 1 Integer\n",
      "0 <= x2304 <= 1 Integer\n",
      "0 <= x2305 <= 1 Integer\n",
      "0 <= x2306 <= 1 Integer\n",
      "0 <= x2307 <= 1 Integer\n",
      "0 <= x2308 <= 1 Integer\n",
      "0 <= x2309 <= 1 Integer\n",
      "0 <= x231 <= 1 Integer\n",
      "0 <= x2310 <= 1 Integer\n",
      "0 <= x2311 <= 1 Integer\n",
      "0 <= x2312 <= 1 Integer\n",
      "0 <= x2313 <= 1 Integer\n",
      "0 <= x2314 <= 1 Integer\n",
      "0 <= x2315 <= 1 Integer\n",
      "0 <= x2316 <= 1 Integer\n",
      "0 <= x2317 <= 1 Integer\n",
      "0 <= x2318 <= 1 Integer\n",
      "0 <= x2319 <= 1 Integer\n",
      "0 <= x232 <= 1 Integer\n",
      "0 <= x2320 <= 1 Integer\n",
      "0 <= x2321 <= 1 Integer\n",
      "0 <= x2322 <= 1 Integer\n",
      "0 <= x2323 <= 1 Integer\n",
      "0 <= x2324 <= 1 Integer\n",
      "0 <= x2325 <= 1 Integer\n",
      "0 <= x2326 <= 1 Integer\n",
      "0 <= x2327 <= 1 Integer\n",
      "0 <= x2328 <= 1 Integer\n",
      "0 <= x2329 <= 1 Integer\n",
      "0 <= x233 <= 1 Integer\n",
      "0 <= x2330 <= 1 Integer\n",
      "0 <= x2331 <= 1 Integer\n",
      "0 <= x2332 <= 1 Integer\n",
      "0 <= x2333 <= 1 Integer\n",
      "0 <= x2334 <= 1 Integer\n",
      "0 <= x2335 <= 1 Integer\n",
      "0 <= x2336 <= 1 Integer\n",
      "0 <= x2337 <= 1 Integer\n",
      "0 <= x2338 <= 1 Integer\n",
      "0 <= x2339 <= 1 Integer\n",
      "0 <= x234 <= 1 Integer\n",
      "0 <= x2340 <= 1 Integer\n",
      "0 <= x2341 <= 1 Integer\n",
      "0 <= x2342 <= 1 Integer\n",
      "0 <= x2343 <= 1 Integer\n",
      "0 <= x2344 <= 1 Integer\n",
      "0 <= x2345 <= 1 Integer\n",
      "0 <= x2346 <= 1 Integer\n",
      "0 <= x2347 <= 1 Integer\n",
      "0 <= x2348 <= 1 Integer\n",
      "0 <= x2349 <= 1 Integer\n",
      "0 <= x235 <= 1 Integer\n",
      "0 <= x2350 <= 1 Integer\n",
      "0 <= x2351 <= 1 Integer\n",
      "0 <= x2352 <= 1 Integer\n",
      "0 <= x2353 <= 1 Integer\n",
      "0 <= x2354 <= 1 Integer\n",
      "0 <= x2355 <= 1 Integer\n",
      "0 <= x2356 <= 1 Integer\n",
      "0 <= x2357 <= 1 Integer\n",
      "0 <= x2358 <= 1 Integer\n",
      "0 <= x2359 <= 1 Integer\n",
      "0 <= x236 <= 1 Integer\n",
      "0 <= x2360 <= 1 Integer\n",
      "0 <= x2361 <= 1 Integer\n",
      "0 <= x2362 <= 1 Integer\n",
      "0 <= x2363 <= 1 Integer\n",
      "0 <= x2364 <= 1 Integer\n",
      "0 <= x2365 <= 1 Integer\n",
      "0 <= x2366 <= 1 Integer\n",
      "0 <= x2367 <= 1 Integer\n",
      "0 <= x2368 <= 1 Integer\n",
      "0 <= x2369 <= 1 Integer\n",
      "0 <= x237 <= 1 Integer\n",
      "0 <= x2370 <= 1 Integer\n",
      "0 <= x2371 <= 1 Integer\n",
      "0 <= x2372 <= 1 Integer\n",
      "0 <= x2373 <= 1 Integer\n",
      "0 <= x2374 <= 1 Integer\n",
      "0 <= x2375 <= 1 Integer\n",
      "0 <= x2376 <= 1 Integer\n",
      "0 <= x2377 <= 1 Integer\n",
      "0 <= x2378 <= 1 Integer\n",
      "0 <= x2379 <= 1 Integer\n",
      "0 <= x238 <= 1 Integer\n",
      "0 <= x2380 <= 1 Integer\n",
      "0 <= x2381 <= 1 Integer\n",
      "0 <= x2382 <= 1 Integer\n",
      "0 <= x2383 <= 1 Integer\n",
      "0 <= x2384 <= 1 Integer\n",
      "0 <= x2385 <= 1 Integer\n",
      "0 <= x2386 <= 1 Integer\n",
      "0 <= x2387 <= 1 Integer\n",
      "0 <= x2388 <= 1 Integer\n",
      "0 <= x2389 <= 1 Integer\n",
      "0 <= x239 <= 1 Integer\n",
      "0 <= x2390 <= 1 Integer\n",
      "0 <= x2391 <= 1 Integer\n",
      "0 <= x2392 <= 1 Integer\n",
      "0 <= x2393 <= 1 Integer\n",
      "0 <= x2394 <= 1 Integer\n",
      "0 <= x2395 <= 1 Integer\n",
      "0 <= x2396 <= 1 Integer\n",
      "0 <= x2397 <= 1 Integer\n",
      "0 <= x2398 <= 1 Integer\n",
      "0 <= x2399 <= 1 Integer\n",
      "0 <= x24 <= 1 Integer\n",
      "0 <= x240 <= 1 Integer\n",
      "0 <= x2400 <= 1 Integer\n",
      "0 <= x2401 <= 1 Integer\n",
      "0 <= x2402 <= 1 Integer\n",
      "0 <= x2403 <= 1 Integer\n",
      "0 <= x2404 <= 1 Integer\n",
      "0 <= x2405 <= 1 Integer\n",
      "0 <= x2406 <= 1 Integer\n",
      "0 <= x2407 <= 1 Integer\n",
      "0 <= x2408 <= 1 Integer\n",
      "0 <= x2409 <= 1 Integer\n",
      "0 <= x241 <= 1 Integer\n",
      "0 <= x2410 <= 1 Integer\n",
      "0 <= x2411 <= 1 Integer\n",
      "0 <= x2412 <= 1 Integer\n",
      "0 <= x2413 <= 1 Integer\n",
      "0 <= x2414 <= 1 Integer\n",
      "0 <= x2415 <= 1 Integer\n",
      "0 <= x2416 <= 1 Integer\n",
      "0 <= x2417 <= 1 Integer\n",
      "0 <= x2418 <= 1 Integer\n",
      "0 <= x2419 <= 1 Integer\n",
      "0 <= x242 <= 1 Integer\n",
      "0 <= x2420 <= 1 Integer\n",
      "0 <= x2421 <= 1 Integer\n",
      "0 <= x2422 <= 1 Integer\n",
      "0 <= x2423 <= 1 Integer\n",
      "0 <= x2424 <= 1 Integer\n",
      "0 <= x2425 <= 1 Integer\n",
      "0 <= x2426 <= 1 Integer\n",
      "0 <= x2427 <= 1 Integer\n",
      "0 <= x2428 <= 1 Integer\n",
      "0 <= x2429 <= 1 Integer\n",
      "0 <= x243 <= 1 Integer\n",
      "0 <= x2430 <= 1 Integer\n",
      "0 <= x2431 <= 1 Integer\n",
      "0 <= x2432 <= 1 Integer\n",
      "0 <= x2433 <= 1 Integer\n",
      "0 <= x2434 <= 1 Integer\n",
      "0 <= x2435 <= 1 Integer\n",
      "0 <= x2436 <= 1 Integer\n",
      "0 <= x2437 <= 1 Integer\n",
      "0 <= x2438 <= 1 Integer\n",
      "0 <= x2439 <= 1 Integer\n",
      "0 <= x244 <= 1 Integer\n",
      "0 <= x2440 <= 1 Integer\n",
      "0 <= x2441 <= 1 Integer\n",
      "0 <= x2442 <= 1 Integer\n",
      "0 <= x2443 <= 1 Integer\n",
      "0 <= x2444 <= 1 Integer\n",
      "0 <= x2445 <= 1 Integer\n",
      "0 <= x2446 <= 1 Integer\n",
      "0 <= x2447 <= 1 Integer\n",
      "0 <= x2448 <= 1 Integer\n",
      "0 <= x2449 <= 1 Integer\n",
      "0 <= x245 <= 1 Integer\n",
      "0 <= x2450 <= 1 Integer\n",
      "0 <= x2451 <= 1 Integer\n",
      "0 <= x2452 <= 1 Integer\n",
      "0 <= x2453 <= 1 Integer\n",
      "0 <= x2454 <= 1 Integer\n",
      "0 <= x2455 <= 1 Integer\n",
      "0 <= x2456 <= 1 Integer\n",
      "0 <= x2457 <= 1 Integer\n",
      "0 <= x2458 <= 1 Integer\n",
      "0 <= x2459 <= 1 Integer\n",
      "0 <= x246 <= 1 Integer\n",
      "0 <= x2460 <= 1 Integer\n",
      "0 <= x2461 <= 1 Integer\n",
      "0 <= x2462 <= 1 Integer\n",
      "0 <= x2463 <= 1 Integer\n",
      "0 <= x2464 <= 1 Integer\n",
      "0 <= x2465 <= 1 Integer\n",
      "0 <= x2466 <= 1 Integer\n",
      "0 <= x2467 <= 1 Integer\n",
      "0 <= x2468 <= 1 Integer\n",
      "0 <= x2469 <= 1 Integer\n",
      "0 <= x247 <= 1 Integer\n",
      "0 <= x2470 <= 1 Integer\n",
      "0 <= x2471 <= 1 Integer\n",
      "0 <= x2472 <= 1 Integer\n",
      "0 <= x2473 <= 1 Integer\n",
      "0 <= x2474 <= 1 Integer\n",
      "0 <= x2475 <= 1 Integer\n",
      "0 <= x2476 <= 1 Integer\n",
      "0 <= x2477 <= 1 Integer\n",
      "0 <= x2478 <= 1 Integer\n",
      "0 <= x2479 <= 1 Integer\n",
      "0 <= x248 <= 1 Integer\n",
      "0 <= x2480 <= 1 Integer\n",
      "0 <= x2481 <= 1 Integer\n",
      "0 <= x2482 <= 1 Integer\n",
      "0 <= x2483 <= 1 Integer\n",
      "0 <= x2484 <= 1 Integer\n",
      "0 <= x2485 <= 1 Integer\n",
      "0 <= x2486 <= 1 Integer\n",
      "0 <= x2487 <= 1 Integer\n",
      "0 <= x2488 <= 1 Integer\n",
      "0 <= x2489 <= 1 Integer\n",
      "0 <= x249 <= 1 Integer\n",
      "0 <= x2490 <= 1 Integer\n",
      "0 <= x2491 <= 1 Integer\n",
      "0 <= x2492 <= 1 Integer\n",
      "0 <= x2493 <= 1 Integer\n",
      "0 <= x2494 <= 1 Integer\n",
      "0 <= x2495 <= 1 Integer\n",
      "0 <= x2496 <= 1 Integer\n",
      "0 <= x2497 <= 1 Integer\n",
      "0 <= x2498 <= 1 Integer\n",
      "0 <= x2499 <= 1 Integer\n",
      "0 <= x25 <= 1 Integer\n",
      "0 <= x250 <= 1 Integer\n",
      "0 <= x2500 <= 1 Integer\n",
      "0 <= x2501 <= 1 Integer\n",
      "0 <= x2502 <= 1 Integer\n",
      "0 <= x2503 <= 1 Integer\n",
      "0 <= x2504 <= 1 Integer\n",
      "0 <= x2505 <= 1 Integer\n",
      "0 <= x2506 <= 1 Integer\n",
      "0 <= x2507 <= 1 Integer\n",
      "0 <= x2508 <= 1 Integer\n",
      "0 <= x2509 <= 1 Integer\n",
      "0 <= x251 <= 1 Integer\n",
      "0 <= x2510 <= 1 Integer\n",
      "0 <= x2511 <= 1 Integer\n",
      "0 <= x2512 <= 1 Integer\n",
      "0 <= x2513 <= 1 Integer\n",
      "0 <= x2514 <= 1 Integer\n",
      "0 <= x2515 <= 1 Integer\n",
      "0 <= x2516 <= 1 Integer\n",
      "0 <= x2517 <= 1 Integer\n",
      "0 <= x2518 <= 1 Integer\n",
      "0 <= x2519 <= 1 Integer\n",
      "0 <= x252 <= 1 Integer\n",
      "0 <= x2520 <= 1 Integer\n",
      "0 <= x2521 <= 1 Integer\n",
      "0 <= x2522 <= 1 Integer\n",
      "0 <= x2523 <= 1 Integer\n",
      "0 <= x2524 <= 1 Integer\n",
      "0 <= x2525 <= 1 Integer\n",
      "0 <= x2526 <= 1 Integer\n",
      "0 <= x2527 <= 1 Integer\n",
      "0 <= x2528 <= 1 Integer\n",
      "0 <= x2529 <= 1 Integer\n",
      "0 <= x253 <= 1 Integer\n",
      "0 <= x2530 <= 1 Integer\n",
      "0 <= x2531 <= 1 Integer\n",
      "0 <= x2532 <= 1 Integer\n",
      "0 <= x2533 <= 1 Integer\n",
      "0 <= x2534 <= 1 Integer\n",
      "0 <= x2535 <= 1 Integer\n",
      "0 <= x2536 <= 1 Integer\n",
      "0 <= x2537 <= 1 Integer\n",
      "0 <= x2538 <= 1 Integer\n",
      "0 <= x2539 <= 1 Integer\n",
      "0 <= x254 <= 1 Integer\n",
      "0 <= x2540 <= 1 Integer\n",
      "0 <= x2541 <= 1 Integer\n",
      "0 <= x2542 <= 1 Integer\n",
      "0 <= x2543 <= 1 Integer\n",
      "0 <= x2544 <= 1 Integer\n",
      "0 <= x2545 <= 1 Integer\n",
      "0 <= x2546 <= 1 Integer\n",
      "0 <= x2547 <= 1 Integer\n",
      "0 <= x2548 <= 1 Integer\n",
      "0 <= x2549 <= 1 Integer\n",
      "0 <= x255 <= 1 Integer\n",
      "0 <= x256 <= 1 Integer\n",
      "0 <= x257 <= 1 Integer\n",
      "0 <= x258 <= 1 Integer\n",
      "0 <= x259 <= 1 Integer\n",
      "0 <= x26 <= 1 Integer\n",
      "0 <= x260 <= 1 Integer\n",
      "0 <= x261 <= 1 Integer\n",
      "0 <= x262 <= 1 Integer\n",
      "0 <= x263 <= 1 Integer\n",
      "0 <= x264 <= 1 Integer\n",
      "0 <= x265 <= 1 Integer\n",
      "0 <= x266 <= 1 Integer\n",
      "0 <= x267 <= 1 Integer\n",
      "0 <= x268 <= 1 Integer\n",
      "0 <= x269 <= 1 Integer\n",
      "0 <= x27 <= 1 Integer\n",
      "0 <= x270 <= 1 Integer\n",
      "0 <= x271 <= 1 Integer\n",
      "0 <= x272 <= 1 Integer\n",
      "0 <= x273 <= 1 Integer\n",
      "0 <= x274 <= 1 Integer\n",
      "0 <= x275 <= 1 Integer\n",
      "0 <= x276 <= 1 Integer\n",
      "0 <= x277 <= 1 Integer\n",
      "0 <= x278 <= 1 Integer\n",
      "0 <= x279 <= 1 Integer\n",
      "0 <= x28 <= 1 Integer\n",
      "0 <= x280 <= 1 Integer\n",
      "0 <= x281 <= 1 Integer\n",
      "0 <= x282 <= 1 Integer\n",
      "0 <= x283 <= 1 Integer\n",
      "0 <= x284 <= 1 Integer\n",
      "0 <= x285 <= 1 Integer\n",
      "0 <= x286 <= 1 Integer\n",
      "0 <= x287 <= 1 Integer\n",
      "0 <= x288 <= 1 Integer\n",
      "0 <= x289 <= 1 Integer\n",
      "0 <= x29 <= 1 Integer\n",
      "0 <= x290 <= 1 Integer\n",
      "0 <= x291 <= 1 Integer\n",
      "0 <= x292 <= 1 Integer\n",
      "0 <= x293 <= 1 Integer\n",
      "0 <= x294 <= 1 Integer\n",
      "0 <= x295 <= 1 Integer\n",
      "0 <= x296 <= 1 Integer\n",
      "0 <= x297 <= 1 Integer\n",
      "0 <= x298 <= 1 Integer\n",
      "0 <= x299 <= 1 Integer\n",
      "0 <= x3 <= 1 Integer\n",
      "0 <= x30 <= 1 Integer\n",
      "0 <= x300 <= 1 Integer\n",
      "0 <= x301 <= 1 Integer\n",
      "0 <= x302 <= 1 Integer\n",
      "0 <= x303 <= 1 Integer\n",
      "0 <= x304 <= 1 Integer\n",
      "0 <= x305 <= 1 Integer\n",
      "0 <= x306 <= 1 Integer\n",
      "0 <= x307 <= 1 Integer\n",
      "0 <= x308 <= 1 Integer\n",
      "0 <= x309 <= 1 Integer\n",
      "0 <= x31 <= 1 Integer\n",
      "0 <= x310 <= 1 Integer\n",
      "0 <= x311 <= 1 Integer\n",
      "0 <= x312 <= 1 Integer\n",
      "0 <= x313 <= 1 Integer\n",
      "0 <= x314 <= 1 Integer\n",
      "0 <= x315 <= 1 Integer\n",
      "0 <= x316 <= 1 Integer\n",
      "0 <= x317 <= 1 Integer\n",
      "0 <= x318 <= 1 Integer\n",
      "0 <= x319 <= 1 Integer\n",
      "0 <= x32 <= 1 Integer\n",
      "0 <= x320 <= 1 Integer\n",
      "0 <= x321 <= 1 Integer\n",
      "0 <= x322 <= 1 Integer\n",
      "0 <= x323 <= 1 Integer\n",
      "0 <= x324 <= 1 Integer\n",
      "0 <= x325 <= 1 Integer\n",
      "0 <= x326 <= 1 Integer\n",
      "0 <= x327 <= 1 Integer\n",
      "0 <= x328 <= 1 Integer\n",
      "0 <= x329 <= 1 Integer\n",
      "0 <= x33 <= 1 Integer\n",
      "0 <= x330 <= 1 Integer\n",
      "0 <= x331 <= 1 Integer\n",
      "0 <= x332 <= 1 Integer\n",
      "0 <= x333 <= 1 Integer\n",
      "0 <= x334 <= 1 Integer\n",
      "0 <= x335 <= 1 Integer\n",
      "0 <= x336 <= 1 Integer\n",
      "0 <= x337 <= 1 Integer\n",
      "0 <= x338 <= 1 Integer\n",
      "0 <= x339 <= 1 Integer\n",
      "0 <= x34 <= 1 Integer\n",
      "0 <= x340 <= 1 Integer\n",
      "0 <= x341 <= 1 Integer\n",
      "0 <= x342 <= 1 Integer\n",
      "0 <= x343 <= 1 Integer\n",
      "0 <= x344 <= 1 Integer\n",
      "0 <= x345 <= 1 Integer\n",
      "0 <= x346 <= 1 Integer\n",
      "0 <= x347 <= 1 Integer\n",
      "0 <= x348 <= 1 Integer\n",
      "0 <= x349 <= 1 Integer\n",
      "0 <= x35 <= 1 Integer\n",
      "0 <= x350 <= 1 Integer\n",
      "0 <= x351 <= 1 Integer\n",
      "0 <= x352 <= 1 Integer\n",
      "0 <= x353 <= 1 Integer\n",
      "0 <= x354 <= 1 Integer\n",
      "0 <= x355 <= 1 Integer\n",
      "0 <= x356 <= 1 Integer\n",
      "0 <= x357 <= 1 Integer\n",
      "0 <= x358 <= 1 Integer\n",
      "0 <= x359 <= 1 Integer\n",
      "0 <= x36 <= 1 Integer\n",
      "0 <= x360 <= 1 Integer\n",
      "0 <= x361 <= 1 Integer\n",
      "0 <= x362 <= 1 Integer\n",
      "0 <= x363 <= 1 Integer\n",
      "0 <= x364 <= 1 Integer\n",
      "0 <= x365 <= 1 Integer\n",
      "0 <= x366 <= 1 Integer\n",
      "0 <= x367 <= 1 Integer\n",
      "0 <= x368 <= 1 Integer\n",
      "0 <= x369 <= 1 Integer\n",
      "0 <= x37 <= 1 Integer\n",
      "0 <= x370 <= 1 Integer\n",
      "0 <= x371 <= 1 Integer\n",
      "0 <= x372 <= 1 Integer\n",
      "0 <= x373 <= 1 Integer\n",
      "0 <= x374 <= 1 Integer\n",
      "0 <= x375 <= 1 Integer\n",
      "0 <= x376 <= 1 Integer\n",
      "0 <= x377 <= 1 Integer\n",
      "0 <= x378 <= 1 Integer\n",
      "0 <= x379 <= 1 Integer\n",
      "0 <= x38 <= 1 Integer\n",
      "0 <= x380 <= 1 Integer\n",
      "0 <= x381 <= 1 Integer\n",
      "0 <= x382 <= 1 Integer\n",
      "0 <= x383 <= 1 Integer\n",
      "0 <= x384 <= 1 Integer\n",
      "0 <= x385 <= 1 Integer\n",
      "0 <= x386 <= 1 Integer\n",
      "0 <= x387 <= 1 Integer\n",
      "0 <= x388 <= 1 Integer\n",
      "0 <= x389 <= 1 Integer\n",
      "0 <= x39 <= 1 Integer\n",
      "0 <= x390 <= 1 Integer\n",
      "0 <= x391 <= 1 Integer\n",
      "0 <= x392 <= 1 Integer\n",
      "0 <= x393 <= 1 Integer\n",
      "0 <= x394 <= 1 Integer\n",
      "0 <= x395 <= 1 Integer\n",
      "0 <= x396 <= 1 Integer\n",
      "0 <= x397 <= 1 Integer\n",
      "0 <= x398 <= 1 Integer\n",
      "0 <= x399 <= 1 Integer\n",
      "0 <= x4 <= 1 Integer\n",
      "0 <= x40 <= 1 Integer\n",
      "0 <= x400 <= 1 Integer\n",
      "0 <= x401 <= 1 Integer\n",
      "0 <= x402 <= 1 Integer\n",
      "0 <= x403 <= 1 Integer\n",
      "0 <= x404 <= 1 Integer\n",
      "0 <= x405 <= 1 Integer\n",
      "0 <= x406 <= 1 Integer\n",
      "0 <= x407 <= 1 Integer\n",
      "0 <= x408 <= 1 Integer\n",
      "0 <= x409 <= 1 Integer\n",
      "0 <= x41 <= 1 Integer\n",
      "0 <= x410 <= 1 Integer\n",
      "0 <= x411 <= 1 Integer\n",
      "0 <= x412 <= 1 Integer\n",
      "0 <= x413 <= 1 Integer\n",
      "0 <= x414 <= 1 Integer\n",
      "0 <= x415 <= 1 Integer\n",
      "0 <= x416 <= 1 Integer\n",
      "0 <= x417 <= 1 Integer\n",
      "0 <= x418 <= 1 Integer\n",
      "0 <= x419 <= 1 Integer\n",
      "0 <= x42 <= 1 Integer\n",
      "0 <= x420 <= 1 Integer\n",
      "0 <= x421 <= 1 Integer\n",
      "0 <= x422 <= 1 Integer\n",
      "0 <= x423 <= 1 Integer\n",
      "0 <= x424 <= 1 Integer\n",
      "0 <= x425 <= 1 Integer\n",
      "0 <= x426 <= 1 Integer\n",
      "0 <= x427 <= 1 Integer\n",
      "0 <= x428 <= 1 Integer\n",
      "0 <= x429 <= 1 Integer\n",
      "0 <= x43 <= 1 Integer\n",
      "0 <= x430 <= 1 Integer\n",
      "0 <= x431 <= 1 Integer\n",
      "0 <= x432 <= 1 Integer\n",
      "0 <= x433 <= 1 Integer\n",
      "0 <= x434 <= 1 Integer\n",
      "0 <= x435 <= 1 Integer\n",
      "0 <= x436 <= 1 Integer\n",
      "0 <= x437 <= 1 Integer\n",
      "0 <= x438 <= 1 Integer\n",
      "0 <= x439 <= 1 Integer\n",
      "0 <= x44 <= 1 Integer\n",
      "0 <= x440 <= 1 Integer\n",
      "0 <= x441 <= 1 Integer\n",
      "0 <= x442 <= 1 Integer\n",
      "0 <= x443 <= 1 Integer\n",
      "0 <= x444 <= 1 Integer\n",
      "0 <= x445 <= 1 Integer\n",
      "0 <= x446 <= 1 Integer\n",
      "0 <= x447 <= 1 Integer\n",
      "0 <= x448 <= 1 Integer\n",
      "0 <= x449 <= 1 Integer\n",
      "0 <= x45 <= 1 Integer\n",
      "0 <= x450 <= 1 Integer\n",
      "0 <= x451 <= 1 Integer\n",
      "0 <= x452 <= 1 Integer\n",
      "0 <= x453 <= 1 Integer\n",
      "0 <= x454 <= 1 Integer\n",
      "0 <= x455 <= 1 Integer\n",
      "0 <= x456 <= 1 Integer\n",
      "0 <= x457 <= 1 Integer\n",
      "0 <= x458 <= 1 Integer\n",
      "0 <= x459 <= 1 Integer\n",
      "0 <= x46 <= 1 Integer\n",
      "0 <= x460 <= 1 Integer\n",
      "0 <= x461 <= 1 Integer\n",
      "0 <= x462 <= 1 Integer\n",
      "0 <= x463 <= 1 Integer\n",
      "0 <= x464 <= 1 Integer\n",
      "0 <= x465 <= 1 Integer\n",
      "0 <= x466 <= 1 Integer\n",
      "0 <= x467 <= 1 Integer\n",
      "0 <= x468 <= 1 Integer\n",
      "0 <= x469 <= 1 Integer\n",
      "0 <= x47 <= 1 Integer\n",
      "0 <= x470 <= 1 Integer\n",
      "0 <= x471 <= 1 Integer\n",
      "0 <= x472 <= 1 Integer\n",
      "0 <= x473 <= 1 Integer\n",
      "0 <= x474 <= 1 Integer\n",
      "0 <= x475 <= 1 Integer\n",
      "0 <= x476 <= 1 Integer\n",
      "0 <= x477 <= 1 Integer\n",
      "0 <= x478 <= 1 Integer\n",
      "0 <= x479 <= 1 Integer\n",
      "0 <= x48 <= 1 Integer\n",
      "0 <= x480 <= 1 Integer\n",
      "0 <= x481 <= 1 Integer\n",
      "0 <= x482 <= 1 Integer\n",
      "0 <= x483 <= 1 Integer\n",
      "0 <= x484 <= 1 Integer\n",
      "0 <= x485 <= 1 Integer\n",
      "0 <= x486 <= 1 Integer\n",
      "0 <= x487 <= 1 Integer\n",
      "0 <= x488 <= 1 Integer\n",
      "0 <= x489 <= 1 Integer\n",
      "0 <= x49 <= 1 Integer\n",
      "0 <= x490 <= 1 Integer\n",
      "0 <= x491 <= 1 Integer\n",
      "0 <= x492 <= 1 Integer\n",
      "0 <= x493 <= 1 Integer\n",
      "0 <= x494 <= 1 Integer\n",
      "0 <= x495 <= 1 Integer\n",
      "0 <= x496 <= 1 Integer\n",
      "0 <= x497 <= 1 Integer\n",
      "0 <= x498 <= 1 Integer\n",
      "0 <= x499 <= 1 Integer\n",
      "0 <= x5 <= 1 Integer\n",
      "0 <= x50 <= 1 Integer\n",
      "0 <= x500 <= 1 Integer\n",
      "0 <= x501 <= 1 Integer\n",
      "0 <= x502 <= 1 Integer\n",
      "0 <= x503 <= 1 Integer\n",
      "0 <= x504 <= 1 Integer\n",
      "0 <= x505 <= 1 Integer\n",
      "0 <= x506 <= 1 Integer\n",
      "0 <= x507 <= 1 Integer\n",
      "0 <= x508 <= 1 Integer\n",
      "0 <= x509 <= 1 Integer\n",
      "0 <= x51 <= 1 Integer\n",
      "0 <= x510 <= 1 Integer\n",
      "0 <= x511 <= 1 Integer\n",
      "0 <= x512 <= 1 Integer\n",
      "0 <= x513 <= 1 Integer\n",
      "0 <= x514 <= 1 Integer\n",
      "0 <= x515 <= 1 Integer\n",
      "0 <= x516 <= 1 Integer\n",
      "0 <= x517 <= 1 Integer\n",
      "0 <= x518 <= 1 Integer\n",
      "0 <= x519 <= 1 Integer\n",
      "0 <= x52 <= 1 Integer\n",
      "0 <= x520 <= 1 Integer\n",
      "0 <= x521 <= 1 Integer\n",
      "0 <= x522 <= 1 Integer\n",
      "0 <= x523 <= 1 Integer\n",
      "0 <= x524 <= 1 Integer\n",
      "0 <= x525 <= 1 Integer\n",
      "0 <= x526 <= 1 Integer\n",
      "0 <= x527 <= 1 Integer\n",
      "0 <= x528 <= 1 Integer\n",
      "0 <= x529 <= 1 Integer\n",
      "0 <= x53 <= 1 Integer\n",
      "0 <= x530 <= 1 Integer\n",
      "0 <= x531 <= 1 Integer\n",
      "0 <= x532 <= 1 Integer\n",
      "0 <= x533 <= 1 Integer\n",
      "0 <= x534 <= 1 Integer\n",
      "0 <= x535 <= 1 Integer\n",
      "0 <= x536 <= 1 Integer\n",
      "0 <= x537 <= 1 Integer\n",
      "0 <= x538 <= 1 Integer\n",
      "0 <= x539 <= 1 Integer\n",
      "0 <= x54 <= 1 Integer\n",
      "0 <= x540 <= 1 Integer\n",
      "0 <= x541 <= 1 Integer\n",
      "0 <= x542 <= 1 Integer\n",
      "0 <= x543 <= 1 Integer\n",
      "0 <= x544 <= 1 Integer\n",
      "0 <= x545 <= 1 Integer\n",
      "0 <= x546 <= 1 Integer\n",
      "0 <= x547 <= 1 Integer\n",
      "0 <= x548 <= 1 Integer\n",
      "0 <= x549 <= 1 Integer\n",
      "0 <= x55 <= 1 Integer\n",
      "0 <= x550 <= 1 Integer\n",
      "0 <= x551 <= 1 Integer\n",
      "0 <= x552 <= 1 Integer\n",
      "0 <= x553 <= 1 Integer\n",
      "0 <= x554 <= 1 Integer\n",
      "0 <= x555 <= 1 Integer\n",
      "0 <= x556 <= 1 Integer\n",
      "0 <= x557 <= 1 Integer\n",
      "0 <= x558 <= 1 Integer\n",
      "0 <= x559 <= 1 Integer\n",
      "0 <= x56 <= 1 Integer\n",
      "0 <= x560 <= 1 Integer\n",
      "0 <= x561 <= 1 Integer\n",
      "0 <= x562 <= 1 Integer\n",
      "0 <= x563 <= 1 Integer\n",
      "0 <= x564 <= 1 Integer\n",
      "0 <= x565 <= 1 Integer\n",
      "0 <= x566 <= 1 Integer\n",
      "0 <= x567 <= 1 Integer\n",
      "0 <= x568 <= 1 Integer\n",
      "0 <= x569 <= 1 Integer\n",
      "0 <= x57 <= 1 Integer\n",
      "0 <= x570 <= 1 Integer\n",
      "0 <= x571 <= 1 Integer\n",
      "0 <= x572 <= 1 Integer\n",
      "0 <= x573 <= 1 Integer\n",
      "0 <= x574 <= 1 Integer\n",
      "0 <= x575 <= 1 Integer\n",
      "0 <= x576 <= 1 Integer\n",
      "0 <= x577 <= 1 Integer\n",
      "0 <= x578 <= 1 Integer\n",
      "0 <= x579 <= 1 Integer\n",
      "0 <= x58 <= 1 Integer\n",
      "0 <= x580 <= 1 Integer\n",
      "0 <= x581 <= 1 Integer\n",
      "0 <= x582 <= 1 Integer\n",
      "0 <= x583 <= 1 Integer\n",
      "0 <= x584 <= 1 Integer\n",
      "0 <= x585 <= 1 Integer\n",
      "0 <= x586 <= 1 Integer\n",
      "0 <= x587 <= 1 Integer\n",
      "0 <= x588 <= 1 Integer\n",
      "0 <= x589 <= 1 Integer\n",
      "0 <= x59 <= 1 Integer\n",
      "0 <= x590 <= 1 Integer\n",
      "0 <= x591 <= 1 Integer\n",
      "0 <= x592 <= 1 Integer\n",
      "0 <= x593 <= 1 Integer\n",
      "0 <= x594 <= 1 Integer\n",
      "0 <= x595 <= 1 Integer\n",
      "0 <= x596 <= 1 Integer\n",
      "0 <= x597 <= 1 Integer\n",
      "0 <= x598 <= 1 Integer\n",
      "0 <= x599 <= 1 Integer\n",
      "0 <= x6 <= 1 Integer\n",
      "0 <= x60 <= 1 Integer\n",
      "0 <= x600 <= 1 Integer\n",
      "0 <= x601 <= 1 Integer\n",
      "0 <= x602 <= 1 Integer\n",
      "0 <= x603 <= 1 Integer\n",
      "0 <= x604 <= 1 Integer\n",
      "0 <= x605 <= 1 Integer\n",
      "0 <= x606 <= 1 Integer\n",
      "0 <= x607 <= 1 Integer\n",
      "0 <= x608 <= 1 Integer\n",
      "0 <= x609 <= 1 Integer\n",
      "0 <= x61 <= 1 Integer\n",
      "0 <= x610 <= 1 Integer\n",
      "0 <= x611 <= 1 Integer\n",
      "0 <= x612 <= 1 Integer\n",
      "0 <= x613 <= 1 Integer\n",
      "0 <= x614 <= 1 Integer\n",
      "0 <= x615 <= 1 Integer\n",
      "0 <= x616 <= 1 Integer\n",
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      "0 <= x618 <= 1 Integer\n",
      "0 <= x619 <= 1 Integer\n",
      "0 <= x62 <= 1 Integer\n",
      "0 <= x620 <= 1 Integer\n",
      "0 <= x621 <= 1 Integer\n",
      "0 <= x622 <= 1 Integer\n",
      "0 <= x623 <= 1 Integer\n",
      "0 <= x624 <= 1 Integer\n",
      "0 <= x625 <= 1 Integer\n",
      "0 <= x626 <= 1 Integer\n",
      "0 <= x627 <= 1 Integer\n",
      "0 <= x628 <= 1 Integer\n",
      "0 <= x629 <= 1 Integer\n",
      "0 <= x63 <= 1 Integer\n",
      "0 <= x630 <= 1 Integer\n",
      "0 <= x631 <= 1 Integer\n",
      "0 <= x632 <= 1 Integer\n",
      "0 <= x633 <= 1 Integer\n",
      "0 <= x634 <= 1 Integer\n",
      "0 <= x635 <= 1 Integer\n",
      "0 <= x636 <= 1 Integer\n",
      "0 <= x637 <= 1 Integer\n",
      "0 <= x638 <= 1 Integer\n",
      "0 <= x639 <= 1 Integer\n",
      "0 <= x64 <= 1 Integer\n",
      "0 <= x640 <= 1 Integer\n",
      "0 <= x641 <= 1 Integer\n",
      "0 <= x642 <= 1 Integer\n",
      "0 <= x643 <= 1 Integer\n",
      "0 <= x644 <= 1 Integer\n",
      "0 <= x645 <= 1 Integer\n",
      "0 <= x646 <= 1 Integer\n",
      "0 <= x647 <= 1 Integer\n",
      "0 <= x648 <= 1 Integer\n",
      "0 <= x649 <= 1 Integer\n",
      "0 <= x65 <= 1 Integer\n",
      "0 <= x650 <= 1 Integer\n",
      "0 <= x651 <= 1 Integer\n",
      "0 <= x652 <= 1 Integer\n",
      "0 <= x653 <= 1 Integer\n",
      "0 <= x654 <= 1 Integer\n",
      "0 <= x655 <= 1 Integer\n",
      "0 <= x656 <= 1 Integer\n",
      "0 <= x657 <= 1 Integer\n",
      "0 <= x658 <= 1 Integer\n",
      "0 <= x659 <= 1 Integer\n",
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      "0 <= x661 <= 1 Integer\n",
      "0 <= x662 <= 1 Integer\n",
      "0 <= x663 <= 1 Integer\n",
      "0 <= x664 <= 1 Integer\n",
      "0 <= x665 <= 1 Integer\n",
      "0 <= x666 <= 1 Integer\n",
      "0 <= x667 <= 1 Integer\n",
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      "0 <= x669 <= 1 Integer\n",
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      "0 <= x670 <= 1 Integer\n",
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      "0 <= x672 <= 1 Integer\n",
      "0 <= x673 <= 1 Integer\n",
      "0 <= x674 <= 1 Integer\n",
      "0 <= x675 <= 1 Integer\n",
      "0 <= x676 <= 1 Integer\n",
      "0 <= x677 <= 1 Integer\n",
      "0 <= x678 <= 1 Integer\n",
      "0 <= x679 <= 1 Integer\n",
      "0 <= x68 <= 1 Integer\n",
      "0 <= x680 <= 1 Integer\n",
      "0 <= x681 <= 1 Integer\n",
      "0 <= x682 <= 1 Integer\n",
      "0 <= x683 <= 1 Integer\n",
      "0 <= x684 <= 1 Integer\n",
      "0 <= x685 <= 1 Integer\n",
      "0 <= x686 <= 1 Integer\n",
      "0 <= x687 <= 1 Integer\n",
      "0 <= x688 <= 1 Integer\n",
      "0 <= x689 <= 1 Integer\n",
      "0 <= x69 <= 1 Integer\n",
      "0 <= x690 <= 1 Integer\n",
      "0 <= x691 <= 1 Integer\n",
      "0 <= x692 <= 1 Integer\n",
      "0 <= x693 <= 1 Integer\n",
      "0 <= x694 <= 1 Integer\n",
      "0 <= x695 <= 1 Integer\n",
      "0 <= x696 <= 1 Integer\n",
      "0 <= x697 <= 1 Integer\n",
      "0 <= x698 <= 1 Integer\n",
      "0 <= x699 <= 1 Integer\n",
      "0 <= x7 <= 1 Integer\n",
      "0 <= x70 <= 1 Integer\n",
      "0 <= x700 <= 1 Integer\n",
      "0 <= x701 <= 1 Integer\n",
      "0 <= x702 <= 1 Integer\n",
      "0 <= x703 <= 1 Integer\n",
      "0 <= x704 <= 1 Integer\n",
      "0 <= x705 <= 1 Integer\n",
      "0 <= x706 <= 1 Integer\n",
      "0 <= x707 <= 1 Integer\n",
      "0 <= x708 <= 1 Integer\n",
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      "0 <= x71 <= 1 Integer\n",
      "0 <= x710 <= 1 Integer\n",
      "0 <= x711 <= 1 Integer\n",
      "0 <= x712 <= 1 Integer\n",
      "0 <= x713 <= 1 Integer\n",
      "0 <= x714 <= 1 Integer\n",
      "0 <= x715 <= 1 Integer\n",
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      "0 <= x718 <= 1 Integer\n",
      "0 <= x719 <= 1 Integer\n",
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      "0 <= x721 <= 1 Integer\n",
      "0 <= x722 <= 1 Integer\n",
      "0 <= x723 <= 1 Integer\n",
      "0 <= x724 <= 1 Integer\n",
      "0 <= x725 <= 1 Integer\n",
      "0 <= x726 <= 1 Integer\n",
      "0 <= x727 <= 1 Integer\n",
      "0 <= x728 <= 1 Integer\n",
      "0 <= x729 <= 1 Integer\n",
      "0 <= x73 <= 1 Integer\n",
      "0 <= x730 <= 1 Integer\n",
      "0 <= x731 <= 1 Integer\n",
      "0 <= x732 <= 1 Integer\n",
      "0 <= x733 <= 1 Integer\n",
      "0 <= x734 <= 1 Integer\n",
      "0 <= x735 <= 1 Integer\n",
      "0 <= x736 <= 1 Integer\n",
      "0 <= x737 <= 1 Integer\n",
      "0 <= x738 <= 1 Integer\n",
      "0 <= x739 <= 1 Integer\n",
      "0 <= x74 <= 1 Integer\n",
      "0 <= x740 <= 1 Integer\n",
      "0 <= x741 <= 1 Integer\n",
      "0 <= x742 <= 1 Integer\n",
      "0 <= x743 <= 1 Integer\n",
      "0 <= x744 <= 1 Integer\n",
      "0 <= x745 <= 1 Integer\n",
      "0 <= x746 <= 1 Integer\n",
      "0 <= x747 <= 1 Integer\n",
      "0 <= x748 <= 1 Integer\n",
      "0 <= x749 <= 1 Integer\n",
      "0 <= x75 <= 1 Integer\n",
      "0 <= x750 <= 1 Integer\n",
      "0 <= x751 <= 1 Integer\n",
      "0 <= x752 <= 1 Integer\n",
      "0 <= x753 <= 1 Integer\n",
      "0 <= x754 <= 1 Integer\n",
      "0 <= x755 <= 1 Integer\n",
      "0 <= x756 <= 1 Integer\n",
      "0 <= x757 <= 1 Integer\n",
      "0 <= x758 <= 1 Integer\n",
      "0 <= x759 <= 1 Integer\n",
      "0 <= x76 <= 1 Integer\n",
      "0 <= x760 <= 1 Integer\n",
      "0 <= x761 <= 1 Integer\n",
      "0 <= x762 <= 1 Integer\n",
      "0 <= x763 <= 1 Integer\n",
      "0 <= x764 <= 1 Integer\n",
      "0 <= x765 <= 1 Integer\n",
      "0 <= x766 <= 1 Integer\n",
      "0 <= x767 <= 1 Integer\n",
      "0 <= x768 <= 1 Integer\n",
      "0 <= x769 <= 1 Integer\n",
      "0 <= x77 <= 1 Integer\n",
      "0 <= x770 <= 1 Integer\n",
      "0 <= x771 <= 1 Integer\n",
      "0 <= x772 <= 1 Integer\n",
      "0 <= x773 <= 1 Integer\n",
      "0 <= x774 <= 1 Integer\n",
      "0 <= x775 <= 1 Integer\n",
      "0 <= x776 <= 1 Integer\n",
      "0 <= x777 <= 1 Integer\n",
      "0 <= x778 <= 1 Integer\n",
      "0 <= x779 <= 1 Integer\n",
      "0 <= x78 <= 1 Integer\n",
      "0 <= x780 <= 1 Integer\n",
      "0 <= x781 <= 1 Integer\n",
      "0 <= x782 <= 1 Integer\n",
      "0 <= x783 <= 1 Integer\n",
      "0 <= x784 <= 1 Integer\n",
      "0 <= x785 <= 1 Integer\n",
      "0 <= x786 <= 1 Integer\n",
      "0 <= x787 <= 1 Integer\n",
      "0 <= x788 <= 1 Integer\n",
      "0 <= x789 <= 1 Integer\n",
      "0 <= x79 <= 1 Integer\n",
      "0 <= x790 <= 1 Integer\n",
      "0 <= x791 <= 1 Integer\n",
      "0 <= x792 <= 1 Integer\n",
      "0 <= x793 <= 1 Integer\n",
      "0 <= x794 <= 1 Integer\n",
      "0 <= x795 <= 1 Integer\n",
      "0 <= x796 <= 1 Integer\n",
      "0 <= x797 <= 1 Integer\n",
      "0 <= x798 <= 1 Integer\n",
      "0 <= x799 <= 1 Integer\n",
      "0 <= x8 <= 1 Integer\n",
      "0 <= x80 <= 1 Integer\n",
      "0 <= x800 <= 1 Integer\n",
      "0 <= x801 <= 1 Integer\n",
      "0 <= x802 <= 1 Integer\n",
      "0 <= x803 <= 1 Integer\n",
      "0 <= x804 <= 1 Integer\n",
      "0 <= x805 <= 1 Integer\n",
      "0 <= x806 <= 1 Integer\n",
      "0 <= x807 <= 1 Integer\n",
      "0 <= x808 <= 1 Integer\n",
      "0 <= x809 <= 1 Integer\n",
      "0 <= x81 <= 1 Integer\n",
      "0 <= x810 <= 1 Integer\n",
      "0 <= x811 <= 1 Integer\n",
      "0 <= x812 <= 1 Integer\n",
      "0 <= x813 <= 1 Integer\n",
      "0 <= x814 <= 1 Integer\n",
      "0 <= x815 <= 1 Integer\n",
      "0 <= x816 <= 1 Integer\n",
      "0 <= x817 <= 1 Integer\n",
      "0 <= x818 <= 1 Integer\n",
      "0 <= x819 <= 1 Integer\n",
      "0 <= x82 <= 1 Integer\n",
      "0 <= x820 <= 1 Integer\n",
      "0 <= x821 <= 1 Integer\n",
      "0 <= x822 <= 1 Integer\n",
      "0 <= x823 <= 1 Integer\n",
      "0 <= x824 <= 1 Integer\n",
      "0 <= x825 <= 1 Integer\n",
      "0 <= x826 <= 1 Integer\n",
      "0 <= x827 <= 1 Integer\n",
      "0 <= x828 <= 1 Integer\n",
      "0 <= x829 <= 1 Integer\n",
      "0 <= x83 <= 1 Integer\n",
      "0 <= x830 <= 1 Integer\n",
      "0 <= x831 <= 1 Integer\n",
      "0 <= x832 <= 1 Integer\n",
      "0 <= x833 <= 1 Integer\n",
      "0 <= x834 <= 1 Integer\n",
      "0 <= x835 <= 1 Integer\n",
      "0 <= x836 <= 1 Integer\n",
      "0 <= x837 <= 1 Integer\n",
      "0 <= x838 <= 1 Integer\n",
      "0 <= x839 <= 1 Integer\n",
      "0 <= x84 <= 1 Integer\n",
      "0 <= x840 <= 1 Integer\n",
      "0 <= x841 <= 1 Integer\n",
      "0 <= x842 <= 1 Integer\n",
      "0 <= x843 <= 1 Integer\n",
      "0 <= x844 <= 1 Integer\n",
      "0 <= x845 <= 1 Integer\n",
      "0 <= x846 <= 1 Integer\n",
      "0 <= x847 <= 1 Integer\n",
      "0 <= x848 <= 1 Integer\n",
      "0 <= x849 <= 1 Integer\n",
      "0 <= x85 <= 1 Integer\n",
      "0 <= x850 <= 1 Integer\n",
      "0 <= x851 <= 1 Integer\n",
      "0 <= x852 <= 1 Integer\n",
      "0 <= x853 <= 1 Integer\n",
      "0 <= x854 <= 1 Integer\n",
      "0 <= x855 <= 1 Integer\n",
      "0 <= x856 <= 1 Integer\n",
      "0 <= x857 <= 1 Integer\n",
      "0 <= x858 <= 1 Integer\n",
      "0 <= x859 <= 1 Integer\n",
      "0 <= x86 <= 1 Integer\n",
      "0 <= x860 <= 1 Integer\n",
      "0 <= x861 <= 1 Integer\n",
      "0 <= x862 <= 1 Integer\n",
      "0 <= x863 <= 1 Integer\n",
      "0 <= x864 <= 1 Integer\n",
      "0 <= x865 <= 1 Integer\n",
      "0 <= x866 <= 1 Integer\n",
      "0 <= x867 <= 1 Integer\n",
      "0 <= x868 <= 1 Integer\n",
      "0 <= x869 <= 1 Integer\n",
      "0 <= x87 <= 1 Integer\n",
      "0 <= x870 <= 1 Integer\n",
      "0 <= x871 <= 1 Integer\n",
      "0 <= x872 <= 1 Integer\n",
      "0 <= x873 <= 1 Integer\n",
      "0 <= x874 <= 1 Integer\n",
      "0 <= x875 <= 1 Integer\n",
      "0 <= x876 <= 1 Integer\n",
      "0 <= x877 <= 1 Integer\n",
      "0 <= x878 <= 1 Integer\n",
      "0 <= x879 <= 1 Integer\n",
      "0 <= x88 <= 1 Integer\n",
      "0 <= x880 <= 1 Integer\n",
      "0 <= x881 <= 1 Integer\n",
      "0 <= x882 <= 1 Integer\n",
      "0 <= x883 <= 1 Integer\n",
      "0 <= x884 <= 1 Integer\n",
      "0 <= x885 <= 1 Integer\n",
      "0 <= x886 <= 1 Integer\n",
      "0 <= x887 <= 1 Integer\n",
      "0 <= x888 <= 1 Integer\n",
      "0 <= x889 <= 1 Integer\n",
      "0 <= x89 <= 1 Integer\n",
      "0 <= x890 <= 1 Integer\n",
      "0 <= x891 <= 1 Integer\n",
      "0 <= x892 <= 1 Integer\n",
      "0 <= x893 <= 1 Integer\n",
      "0 <= x894 <= 1 Integer\n",
      "0 <= x895 <= 1 Integer\n",
      "0 <= x896 <= 1 Integer\n",
      "0 <= x897 <= 1 Integer\n",
      "0 <= x898 <= 1 Integer\n",
      "0 <= x899 <= 1 Integer\n",
      "0 <= x9 <= 1 Integer\n",
      "0 <= x90 <= 1 Integer\n",
      "0 <= x900 <= 1 Integer\n",
      "0 <= x901 <= 1 Integer\n",
      "0 <= x902 <= 1 Integer\n",
      "0 <= x903 <= 1 Integer\n",
      "0 <= x904 <= 1 Integer\n",
      "0 <= x905 <= 1 Integer\n",
      "0 <= x906 <= 1 Integer\n",
      "0 <= x907 <= 1 Integer\n",
      "0 <= x908 <= 1 Integer\n",
      "0 <= x909 <= 1 Integer\n",
      "0 <= x91 <= 1 Integer\n",
      "0 <= x910 <= 1 Integer\n",
      "0 <= x911 <= 1 Integer\n",
      "0 <= x912 <= 1 Integer\n",
      "0 <= x913 <= 1 Integer\n",
      "0 <= x914 <= 1 Integer\n",
      "0 <= x915 <= 1 Integer\n",
      "0 <= x916 <= 1 Integer\n",
      "0 <= x917 <= 1 Integer\n",
      "0 <= x918 <= 1 Integer\n",
      "0 <= x919 <= 1 Integer\n",
      "0 <= x92 <= 1 Integer\n",
      "0 <= x920 <= 1 Integer\n",
      "0 <= x921 <= 1 Integer\n",
      "0 <= x922 <= 1 Integer\n",
      "0 <= x923 <= 1 Integer\n",
      "0 <= x924 <= 1 Integer\n",
      "0 <= x925 <= 1 Integer\n",
      "0 <= x926 <= 1 Integer\n",
      "0 <= x927 <= 1 Integer\n",
      "0 <= x928 <= 1 Integer\n",
      "0 <= x929 <= 1 Integer\n",
      "0 <= x93 <= 1 Integer\n",
      "0 <= x930 <= 1 Integer\n",
      "0 <= x931 <= 1 Integer\n",
      "0 <= x932 <= 1 Integer\n",
      "0 <= x933 <= 1 Integer\n",
      "0 <= x934 <= 1 Integer\n",
      "0 <= x935 <= 1 Integer\n",
      "0 <= x936 <= 1 Integer\n",
      "0 <= x937 <= 1 Integer\n",
      "0 <= x938 <= 1 Integer\n",
      "0 <= x939 <= 1 Integer\n",
      "0 <= x94 <= 1 Integer\n",
      "0 <= x940 <= 1 Integer\n",
      "0 <= x941 <= 1 Integer\n",
      "0 <= x942 <= 1 Integer\n",
      "0 <= x943 <= 1 Integer\n",
      "0 <= x944 <= 1 Integer\n",
      "0 <= x945 <= 1 Integer\n",
      "0 <= x946 <= 1 Integer\n",
      "0 <= x947 <= 1 Integer\n",
      "0 <= x948 <= 1 Integer\n",
      "0 <= x949 <= 1 Integer\n",
      "0 <= x95 <= 1 Integer\n",
      "0 <= x950 <= 1 Integer\n",
      "0 <= x951 <= 1 Integer\n",
      "0 <= x952 <= 1 Integer\n",
      "0 <= x953 <= 1 Integer\n",
      "0 <= x954 <= 1 Integer\n",
      "0 <= x955 <= 1 Integer\n",
      "0 <= x956 <= 1 Integer\n",
      "0 <= x957 <= 1 Integer\n",
      "0 <= x958 <= 1 Integer\n",
      "0 <= x959 <= 1 Integer\n",
      "0 <= x96 <= 1 Integer\n",
      "0 <= x960 <= 1 Integer\n",
      "0 <= x961 <= 1 Integer\n",
      "0 <= x962 <= 1 Integer\n",
      "0 <= x963 <= 1 Integer\n",
      "0 <= x964 <= 1 Integer\n",
      "0 <= x965 <= 1 Integer\n",
      "0 <= x966 <= 1 Integer\n",
      "0 <= x967 <= 1 Integer\n",
      "0 <= x968 <= 1 Integer\n",
      "0 <= x969 <= 1 Integer\n",
      "0 <= x97 <= 1 Integer\n",
      "0 <= x970 <= 1 Integer\n",
      "0 <= x971 <= 1 Integer\n",
      "0 <= x972 <= 1 Integer\n",
      "0 <= x973 <= 1 Integer\n",
      "0 <= x974 <= 1 Integer\n",
      "0 <= x975 <= 1 Integer\n",
      "0 <= x976 <= 1 Integer\n",
      "0 <= x977 <= 1 Integer\n",
      "0 <= x978 <= 1 Integer\n",
      "0 <= x979 <= 1 Integer\n",
      "0 <= x98 <= 1 Integer\n",
      "0 <= x980 <= 1 Integer\n",
      "0 <= x981 <= 1 Integer\n",
      "0 <= x982 <= 1 Integer\n",
      "0 <= x983 <= 1 Integer\n",
      "0 <= x984 <= 1 Integer\n",
      "0 <= x985 <= 1 Integer\n",
      "0 <= x986 <= 1 Integer\n",
      "0 <= x987 <= 1 Integer\n",
      "0 <= x988 <= 1 Integer\n",
      "0 <= x989 <= 1 Integer\n",
      "0 <= x99 <= 1 Integer\n",
      "0 <= x990 <= 1 Integer\n",
      "0 <= x991 <= 1 Integer\n",
      "0 <= x992 <= 1 Integer\n",
      "0 <= x993 <= 1 Integer\n",
      "0 <= x994 <= 1 Integer\n",
      "0 <= x995 <= 1 Integer\n",
      "0 <= x996 <= 1 Integer\n",
      "0 <= x997 <= 1 Integer\n",
      "0 <= x998 <= 1 Integer\n",
      "0 <= x999 <= 1 Integer\n",
      "\n"
     ]
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       " x1808,\n",
       " x1809,\n",
       " x181,\n",
       " x1810,\n",
       " x1811,\n",
       " x1812,\n",
       " x1813,\n",
       " x1814,\n",
       " x1815,\n",
       " x1816,\n",
       " x1817,\n",
       " x1818,\n",
       " x1819,\n",
       " x182,\n",
       " x1820,\n",
       " x1821,\n",
       " x1822,\n",
       " x1823,\n",
       " x1824,\n",
       " x1825,\n",
       " x1826,\n",
       " x1827,\n",
       " x1828,\n",
       " x1829,\n",
       " x183,\n",
       " x1830,\n",
       " x1831,\n",
       " x1832,\n",
       " x1833,\n",
       " x1834,\n",
       " x1835,\n",
       " x1836,\n",
       " x1837,\n",
       " x1838,\n",
       " x1839,\n",
       " x184,\n",
       " x1840,\n",
       " x1841,\n",
       " x1842,\n",
       " x1843,\n",
       " x1844,\n",
       " x1845,\n",
       " x1846,\n",
       " x1847,\n",
       " x1848,\n",
       " x1849,\n",
       " x185,\n",
       " x1850,\n",
       " x1851,\n",
       " x1852,\n",
       " x1853,\n",
       " x1854,\n",
       " x1855,\n",
       " x1856,\n",
       " x1857,\n",
       " x1858,\n",
       " x1859,\n",
       " x186,\n",
       " x1860,\n",
       " x1861,\n",
       " x1862,\n",
       " x1863,\n",
       " x1864,\n",
       " x1865,\n",
       " x1866,\n",
       " x1867,\n",
       " x1868,\n",
       " x1869,\n",
       " x187,\n",
       " x1870,\n",
       " x1871,\n",
       " x1872,\n",
       " x1873,\n",
       " x1874,\n",
       " x1875,\n",
       " x1876,\n",
       " x1877,\n",
       " x1878,\n",
       " x1879,\n",
       " x188,\n",
       " x1880,\n",
       " x1881,\n",
       " x1882,\n",
       " x1883,\n",
       " x1884,\n",
       " x1885,\n",
       " x1886,\n",
       " x1887,\n",
       " x1888,\n",
       " x1889,\n",
       " x189,\n",
       " x1890,\n",
       " x1891,\n",
       " x1892,\n",
       " x1893,\n",
       " x1894,\n",
       " x1895,\n",
       " x1896,\n",
       " x1897,\n",
       " x1898,\n",
       " ...]"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "print(prob)\n",
    "prob.writeLP('WatchingTEDTalks.lp')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Status: Optimal\n",
      "Optimal Solution to the problem:  470591400.0\n",
      "Individual decision variables: \n",
      "x0 = 1.0\n",
      "x1 = 0.0\n",
      "x10 = 0.0\n",
      "x100 = 0.0\n",
      "x1000 = 0.0\n",
      "x1001 = 0.0\n",
      "x1002 = 0.0\n",
      "x1003 = 0.0\n",
      "x1004 = 0.0\n",
      "x1005 = 0.0\n",
      "x1006 = 0.0\n",
      "x1007 = 0.0\n",
      "x1008 = 0.0\n",
      "x1009 = 0.0\n",
      "x101 = 0.0\n",
      "x1010 = 0.0\n",
      "x1011 = 0.0\n",
      "x1012 = 0.0\n",
      "x1013 = 0.0\n",
      "x1014 = 0.0\n",
      "x1015 = 0.0\n",
      "x1016 = 0.0\n",
      "x1017 = 0.0\n",
      "x1018 = 0.0\n",
      "x1019 = 0.0\n",
      "x102 = 0.0\n",
      "x1020 = 0.0\n",
      "x1021 = 0.0\n",
      "x1022 = 0.0\n",
      "x1023 = 0.0\n",
      "x1024 = 0.0\n",
      "x1025 = 0.0\n",
      "x1026 = 0.0\n",
      "x1027 = 0.0\n",
      "x1028 = 0.0\n",
      "x1029 = 0.0\n",
      "x103 = 0.0\n",
      "x1030 = 0.0\n",
      "x1031 = 0.0\n",
      "x1032 = 0.0\n",
      "x1033 = 0.0\n",
      "x1034 = 0.0\n",
      "x1035 = 0.0\n",
      "x1036 = 1.0\n",
      "x1037 = 0.0\n",
      "x1038 = 0.0\n",
      "x1039 = 0.0\n",
      "x104 = 0.0\n",
      "x1040 = 0.0\n",
      "x1041 = 0.0\n",
      "x1042 = 0.0\n",
      "x1043 = 0.0\n",
      "x1044 = 0.0\n",
      "x1045 = 0.0\n",
      "x1046 = 0.0\n",
      "x1047 = 0.0\n",
      "x1048 = 0.0\n",
      "x1049 = 0.0\n",
      "x105 = 0.0\n",
      "x1050 = 0.0\n",
      "x1051 = 0.0\n",
      "x1052 = 0.0\n",
      "x1053 = 0.0\n",
      "x1054 = 0.0\n",
      "x1055 = 0.0\n",
      "x1056 = 0.0\n",
      "x1057 = 0.0\n",
      "x1058 = 0.0\n",
      "x1059 = 0.0\n",
      "x106 = 0.0\n",
      "x1060 = 0.0\n",
      "x1061 = 0.0\n",
      "x1062 = 0.0\n",
      "x1063 = 0.0\n",
      "x1064 = 0.0\n",
      "x1065 = 0.0\n",
      "x1066 = 0.0\n",
      "x1067 = 0.0\n",
      "x1068 = 0.0\n",
      "x1069 = 0.0\n",
      "x107 = 0.0\n",
      "x1070 = 0.0\n",
      "x1071 = 0.0\n",
      "x1072 = 0.0\n",
      "x1073 = 0.0\n",
      "x1074 = 0.0\n",
      "x1075 = 0.0\n",
      "x1076 = 0.0\n",
      "x1077 = 0.0\n",
      "x1078 = 0.0\n",
      "x1079 = 0.0\n",
      "x108 = 0.0\n",
      "x1080 = 0.0\n",
      "x1081 = 0.0\n",
      "x1082 = 0.0\n",
      "x1083 = 0.0\n",
      "x1084 = 0.0\n",
      "x1085 = 0.0\n",
      "x1086 = 0.0\n",
      "x1087 = 0.0\n",
      "x1088 = 0.0\n",
      "x1089 = 0.0\n",
      "x109 = 0.0\n",
      "x1090 = 0.0\n",
      "x1091 = 0.0\n",
      "x1092 = 0.0\n",
      "x1093 = 0.0\n",
      "x1094 = 0.0\n",
      "x1095 = 0.0\n",
      "x1096 = 0.0\n",
      "x1097 = 0.0\n",
      "x1098 = 0.0\n",
      "x1099 = 0.0\n",
      "x11 = 0.0\n",
      "x110 = 0.0\n",
      "x1100 = 0.0\n",
      "x1101 = 0.0\n",
      "x1102 = 0.0\n",
      "x1103 = 0.0\n",
      "x1104 = 0.0\n",
      "x1105 = 0.0\n",
      "x1106 = 0.0\n",
      "x1107 = 0.0\n",
      "x1108 = 0.0\n",
      "x1109 = 0.0\n",
      "x111 = 0.0\n",
      "x1110 = 0.0\n",
      "x1111 = 0.0\n",
      "x1112 = 0.0\n",
      "x1113 = 0.0\n",
      "x1114 = 0.0\n",
      "x1115 = 0.0\n",
      "x1116 = 0.0\n",
      "x1117 = 0.0\n",
      "x1118 = 0.0\n",
      "x1119 = 0.0\n",
      "x112 = 0.0\n",
      "x1120 = 0.0\n",
      "x1121 = 0.0\n",
      "x1122 = 0.0\n",
      "x1123 = 0.0\n",
      "x1124 = 0.0\n",
      "x1125 = 0.0\n",
      "x1126 = 0.0\n",
      "x1127 = 0.0\n",
      "x1128 = 0.0\n",
      "x1129 = 1.0\n",
      "x113 = 0.0\n",
      "x1130 = 0.0\n",
      "x1131 = 0.0\n",
      "x1132 = 0.0\n",
      "x1133 = 0.0\n",
      "x1134 = 0.0\n",
      "x1135 = 0.0\n",
      "x1136 = 0.0\n",
      "x1137 = 0.0\n",
      "x1138 = 0.0\n",
      "x1139 = 0.0\n",
      "x114 = 0.0\n",
      "x1140 = 0.0\n",
      "x1141 = 0.0\n",
      "x1142 = 0.0\n",
      "x1143 = 0.0\n",
      "x1144 = 0.0\n",
      "x1145 = 0.0\n",
      "x1146 = 0.0\n",
      "x1147 = 0.0\n",
      "x1148 = 0.0\n",
      "x1149 = 0.0\n",
      "x115 = 0.0\n",
      "x1150 = 0.0\n",
      "x1151 = 0.0\n",
      "x1152 = 0.0\n",
      "x1153 = 0.0\n",
      "x1154 = 0.0\n",
      "x1155 = 0.0\n",
      "x1156 = 0.0\n",
      "x1157 = 0.0\n",
      "x1158 = 0.0\n",
      "x1159 = 0.0\n",
      "x116 = 0.0\n",
      "x1160 = 0.0\n",
      "x1161 = 0.0\n",
      "x1162 = 0.0\n",
      "x1163 = 1.0\n",
      "x1164 = 0.0\n",
      "x1165 = 0.0\n",
      "x1166 = 0.0\n",
      "x1167 = 0.0\n",
      "x1168 = 0.0\n",
      "x1169 = 0.0\n",
      "x117 = 0.0\n",
      "x1170 = 0.0\n",
      "x1171 = 0.0\n",
      "x1172 = 0.0\n",
      "x1173 = 0.0\n",
      "x1174 = 0.0\n",
      "x1175 = 0.0\n",
      "x1176 = 0.0\n",
      "x1177 = 0.0\n",
      "x1178 = 0.0\n",
      "x1179 = 0.0\n",
      "x118 = 0.0\n",
      "x1180 = 0.0\n",
      "x1181 = 0.0\n",
      "x1182 = 0.0\n",
      "x1183 = 0.0\n",
      "x1184 = 0.0\n",
      "x1185 = 0.0\n",
      "x1186 = 0.0\n",
      "x1187 = 0.0\n",
      "x1188 = 0.0\n",
      "x1189 = 0.0\n",
      "x119 = 0.0\n",
      "x1190 = 0.0\n",
      "x1191 = 0.0\n",
      "x1192 = 0.0\n",
      "x1193 = 0.0\n",
      "x1194 = 0.0\n",
      "x1195 = 0.0\n",
      "x1196 = 0.0\n",
      "x1197 = 0.0\n",
      "x1198 = 0.0\n",
      "x1199 = 0.0\n",
      "x12 = 0.0\n",
      "x120 = 0.0\n",
      "x1200 = 0.0\n",
      "x1201 = 0.0\n",
      "x1202 = 0.0\n",
      "x1203 = 0.0\n",
      "x1204 = 0.0\n",
      "x1205 = 0.0\n",
      "x1206 = 0.0\n",
      "x1207 = 0.0\n",
      "x1208 = 0.0\n",
      "x1209 = 0.0\n",
      "x121 = 0.0\n",
      "x1210 = 0.0\n",
      "x1211 = 0.0\n",
      "x1212 = 0.0\n",
      "x1213 = 0.0\n",
      "x1214 = 0.0\n",
      "x1215 = 0.0\n",
      "x1216 = 0.0\n",
      "x1217 = 0.0\n",
      "x1218 = 0.0\n",
      "x1219 = 0.0\n",
      "x122 = 0.0\n",
      "x1220 = 0.0\n",
      "x1221 = 0.0\n",
      "x1222 = 0.0\n",
      "x1223 = 0.0\n",
      "x1224 = 0.0\n",
      "x1225 = 0.0\n",
      "x1226 = 0.0\n",
      "x1227 = 0.0\n",
      "x1228 = 0.0\n",
      "x1229 = 0.0\n",
      "x123 = 0.0\n",
      "x1230 = 0.0\n",
      "x1231 = 0.0\n",
      "x1232 = 0.0\n",
      "x1233 = 0.0\n",
      "x1234 = 0.0\n",
      "x1235 = 0.0\n",
      "x1236 = 0.0\n",
      "x1237 = 0.0\n",
      "x1238 = 0.0\n",
      "x1239 = 0.0\n",
      "x124 = 0.0\n",
      "x1240 = 0.0\n",
      "x1241 = 0.0\n",
      "x1242 = 0.0\n",
      "x1243 = 0.0\n",
      "x1244 = 0.0\n",
      "x1245 = 0.0\n",
      "x1246 = 0.0\n",
      "x1247 = 0.0\n",
      "x1248 = 0.0\n",
      "x1249 = 0.0\n",
      "x125 = 0.0\n",
      "x1250 = 0.0\n",
      "x1251 = 0.0\n",
      "x1252 = 0.0\n",
      "x1253 = 0.0\n",
      "x1254 = 0.0\n",
      "x1255 = 0.0\n",
      "x1256 = 0.0\n",
      "x1257 = 0.0\n",
      "x1258 = 0.0\n",
      "x1259 = 0.0\n",
      "x126 = 0.0\n",
      "x1260 = 0.0\n",
      "x1261 = 0.0\n",
      "x1262 = 0.0\n",
      "x1263 = 0.0\n",
      "x1264 = 0.0\n",
      "x1265 = 0.0\n",
      "x1266 = 0.0\n",
      "x1267 = 0.0\n",
      "x1268 = 0.0\n",
      "x1269 = 0.0\n",
      "x127 = 0.0\n",
      "x1270 = 0.0\n",
      "x1271 = 0.0\n",
      "x1272 = 0.0\n",
      "x1273 = 0.0\n",
      "x1274 = 0.0\n",
      "x1275 = 0.0\n",
      "x1276 = 0.0\n",
      "x1277 = 0.0\n",
      "x1278 = 0.0\n",
      "x1279 = 0.0\n",
      "x128 = 0.0\n",
      "x1280 = 0.0\n",
      "x1281 = 0.0\n",
      "x1282 = 0.0\n",
      "x1283 = 0.0\n",
      "x1284 = 0.0\n",
      "x1285 = 0.0\n",
      "x1286 = 0.0\n",
      "x1287 = 0.0\n",
      "x1288 = 0.0\n",
      "x1289 = 0.0\n",
      "x129 = 0.0\n",
      "x1290 = 0.0\n",
      "x1291 = 0.0\n",
      "x1292 = 0.0\n",
      "x1293 = 0.0\n",
      "x1294 = 0.0\n",
      "x1295 = 0.0\n",
      "x1296 = 0.0\n",
      "x1297 = 0.0\n",
      "x1298 = 0.0\n",
      "x1299 = 0.0\n",
      "x13 = 0.0\n",
      "x130 = 0.0\n",
      "x1300 = 0.0\n",
      "x1301 = 0.0\n",
      "x1302 = 0.0\n",
      "x1303 = 0.0\n",
      "x1304 = 0.0\n",
      "x1305 = 0.0\n",
      "x1306 = 0.0\n",
      "x1307 = 0.0\n",
      "x1308 = 0.0\n",
      "x1309 = 0.0\n",
      "x131 = 0.0\n",
      "x1310 = 0.0\n",
      "x1311 = 0.0\n",
      "x1312 = 0.0\n",
      "x1313 = 0.0\n",
      "x1314 = 0.0\n",
      "x1315 = 0.0\n",
      "x1316 = 0.0\n",
      "x1317 = 0.0\n",
      "x1318 = 0.0\n",
      "x1319 = 0.0\n",
      "x132 = 0.0\n",
      "x1320 = 0.0\n",
      "x1321 = 0.0\n",
      "x1322 = 0.0\n",
      "x1323 = 0.0\n",
      "x1324 = 0.0\n",
      "x1325 = 0.0\n",
      "x1326 = 0.0\n",
      "x1327 = 0.0\n",
      "x1328 = 0.0\n",
      "x1329 = 0.0\n",
      "x133 = 0.0\n",
      "x1330 = 0.0\n",
      "x1331 = 0.0\n",
      "x1332 = 0.0\n",
      "x1333 = 0.0\n",
      "x1334 = 0.0\n",
      "x1335 = 0.0\n",
      "x1336 = 0.0\n",
      "x1337 = 0.0\n",
      "x1338 = 0.0\n",
      "x1339 = 0.0\n",
      "x134 = 0.0\n",
      "x1340 = 0.0\n",
      "x1341 = 0.0\n",
      "x1342 = 0.0\n",
      "x1343 = 0.0\n",
      "x1344 = 0.0\n",
      "x1345 = 0.0\n",
      "x1346 = 1.0\n",
      "x1347 = 0.0\n",
      "x1348 = 0.0\n",
      "x1349 = 0.0\n",
      "x135 = 0.0\n",
      "x1350 = 0.0\n",
      "x1351 = 0.0\n",
      "x1352 = 0.0\n",
      "x1353 = 0.0\n",
      "x1354 = 0.0\n",
      "x1355 = 0.0\n",
      "x1356 = 0.0\n",
      "x1357 = 0.0\n",
      "x1358 = 0.0\n",
      "x1359 = 0.0\n",
      "x136 = 0.0\n",
      "x1360 = 0.0\n",
      "x1361 = 0.0\n",
      "x1362 = 0.0\n",
      "x1363 = 0.0\n",
      "x1364 = 0.0\n",
      "x1365 = 0.0\n",
      "x1366 = 0.0\n",
      "x1367 = 0.0\n",
      "x1368 = 0.0\n",
      "x1369 = 0.0\n",
      "x137 = 0.0\n",
      "x1370 = 0.0\n",
      "x1371 = 0.0\n",
      "x1372 = 0.0\n",
      "x1373 = 0.0\n",
      "x1374 = 0.0\n",
      "x1375 = 0.0\n",
      "x1376 = 0.0\n",
      "x1377 = 0.0\n",
      "x1378 = 0.0\n",
      "x1379 = 0.0\n",
      "x138 = 0.0\n",
      "x1380 = 0.0\n",
      "x1381 = 0.0\n",
      "x1382 = 0.0\n",
      "x1383 = 0.0\n",
      "x1384 = 0.0\n",
      "x1385 = 0.0\n",
      "x1386 = 0.0\n",
      "x1387 = 0.0\n",
      "x1388 = 0.0\n",
      "x1389 = 0.0\n",
      "x139 = 0.0\n",
      "x1390 = 0.0\n",
      "x1391 = 0.0\n",
      "x1392 = 0.0\n",
      "x1393 = 0.0\n",
      "x1394 = 0.0\n",
      "x1395 = 0.0\n",
      "x1396 = 0.0\n",
      "x1397 = 0.0\n",
      "x1398 = 0.0\n",
      "x1399 = 0.0\n",
      "x14 = 0.0\n",
      "x140 = 0.0\n",
      "x1400 = 0.0\n",
      "x1401 = 0.0\n",
      "x1402 = 0.0\n",
      "x1403 = 0.0\n",
      "x1404 = 0.0\n",
      "x1405 = 0.0\n",
      "x1406 = 0.0\n",
      "x1407 = 0.0\n",
      "x1408 = 0.0\n",
      "x1409 = 0.0\n",
      "x141 = 0.0\n",
      "x1410 = 0.0\n",
      "x1411 = 0.0\n",
      "x1412 = 0.0\n",
      "x1413 = 0.0\n",
      "x1414 = 0.0\n",
      "x1415 = 0.0\n",
      "x1416 = 1.0\n",
      "x1417 = 0.0\n",
      "x1418 = 0.0\n",
      "x1419 = 0.0\n",
      "x142 = 0.0\n",
      "x1420 = 0.0\n",
      "x1421 = 0.0\n",
      "x1422 = 0.0\n",
      "x1423 = 0.0\n",
      "x1424 = 0.0\n",
      "x1425 = 0.0\n",
      "x1426 = 0.0\n",
      "x1427 = 0.0\n",
      "x1428 = 0.0\n",
      "x1429 = 0.0\n",
      "x143 = 0.0\n",
      "x1430 = 0.0\n",
      "x1431 = 0.0\n",
      "x1432 = 0.0\n",
      "x1433 = 0.0\n",
      "x1434 = 0.0\n",
      "x1435 = 0.0\n",
      "x1436 = 0.0\n",
      "x1437 = 0.0\n",
      "x1438 = 0.0\n",
      "x1439 = 0.0\n",
      "x144 = 0.0\n",
      "x1440 = 0.0\n",
      "x1441 = 0.0\n",
      "x1442 = 0.0\n",
      "x1443 = 0.0\n",
      "x1444 = 0.0\n",
      "x1445 = 0.0\n",
      "x1446 = 0.0\n",
      "x1447 = 0.0\n",
      "x1448 = 0.0\n",
      "x1449 = 0.0\n",
      "x145 = 0.0\n",
      "x1450 = 0.0\n",
      "x1451 = 0.0\n",
      "x1452 = 0.0\n",
      "x1453 = 0.0\n",
      "x1454 = 0.0\n",
      "x1455 = 0.0\n",
      "x1456 = 0.0\n",
      "x1457 = 0.0\n",
      "x1458 = 0.0\n",
      "x1459 = 0.0\n",
      "x146 = 0.0\n",
      "x1460 = 0.0\n",
      "x1461 = 0.0\n",
      "x1462 = 0.0\n",
      "x1463 = 0.0\n",
      "x1464 = 0.0\n",
      "x1465 = 0.0\n",
      "x1466 = 0.0\n",
      "x1467 = 0.0\n",
      "x1468 = 0.0\n",
      "x1469 = 0.0\n",
      "x147 = 0.0\n",
      "x1470 = 0.0\n",
      "x1471 = 0.0\n",
      "x1472 = 0.0\n",
      "x1473 = 0.0\n",
      "x1474 = 0.0\n",
      "x1475 = 0.0\n",
      "x1476 = 0.0\n",
      "x1477 = 0.0\n",
      "x1478 = 0.0\n",
      "x1479 = 0.0\n",
      "x148 = 0.0\n",
      "x1480 = 0.0\n",
      "x1481 = 0.0\n",
      "x1482 = 0.0\n",
      "x1483 = 0.0\n",
      "x1484 = 0.0\n",
      "x1485 = 0.0\n",
      "x1486 = 0.0\n",
      "x1487 = 0.0\n",
      "x1488 = 0.0\n",
      "x1489 = 0.0\n",
      "x149 = 0.0\n",
      "x1490 = 0.0\n",
      "x1491 = 0.0\n",
      "x1492 = 0.0\n",
      "x1493 = 0.0\n",
      "x1494 = 0.0\n",
      "x1495 = 0.0\n",
      "x1496 = 0.0\n",
      "x1497 = 0.0\n",
      "x1498 = 0.0\n",
      "x1499 = 0.0\n",
      "x15 = 0.0\n",
      "x150 = 0.0\n",
      "x1500 = 0.0\n",
      "x1501 = 0.0\n",
      "x1502 = 0.0\n",
      "x1503 = 0.0\n",
      "x1504 = 0.0\n",
      "x1505 = 0.0\n",
      "x1506 = 0.0\n",
      "x1507 = 0.0\n",
      "x1508 = 0.0\n",
      "x1509 = 0.0\n",
      "x151 = 0.0\n",
      "x1510 = 0.0\n",
      "x1511 = 0.0\n",
      "x1512 = 0.0\n",
      "x1513 = 0.0\n",
      "x1514 = 0.0\n",
      "x1515 = 0.0\n",
      "x1516 = 0.0\n",
      "x1517 = 0.0\n",
      "x1518 = 0.0\n",
      "x1519 = 0.0\n",
      "x152 = 0.0\n",
      "x1520 = 0.0\n",
      "x1521 = 0.0\n",
      "x1522 = 0.0\n",
      "x1523 = 0.0\n",
      "x1524 = 0.0\n",
      "x1525 = 0.0\n",
      "x1526 = 0.0\n",
      "x1527 = 0.0\n",
      "x1528 = 0.0\n",
      "x1529 = 0.0\n",
      "x153 = 0.0\n",
      "x1530 = 0.0\n",
      "x1531 = 0.0\n",
      "x1532 = 0.0\n",
      "x1533 = 0.0\n",
      "x1534 = 0.0\n",
      "x1535 = 0.0\n",
      "x1536 = 0.0\n",
      "x1537 = 0.0\n",
      "x1538 = 0.0\n",
      "x1539 = 0.0\n",
      "x154 = 0.0\n",
      "x1540 = 0.0\n",
      "x1541 = 0.0\n",
      "x1542 = 0.0\n",
      "x1543 = 0.0\n",
      "x1544 = 0.0\n",
      "x1545 = 0.0\n",
      "x1546 = 0.0\n",
      "x1547 = 0.0\n",
      "x1548 = 0.0\n",
      "x1549 = 0.0\n",
      "x155 = 0.0\n",
      "x1550 = 0.0\n",
      "x1551 = 0.0\n",
      "x1552 = 0.0\n",
      "x1553 = 0.0\n",
      "x1554 = 0.0\n",
      "x1555 = 0.0\n",
      "x1556 = 0.0\n",
      "x1557 = 0.0\n",
      "x1558 = 0.0\n",
      "x1559 = 0.0\n",
      "x156 = 0.0\n",
      "x1560 = 0.0\n",
      "x1561 = 0.0\n",
      "x1562 = 0.0\n",
      "x1563 = 0.0\n",
      "x1564 = 0.0\n",
      "x1565 = 0.0\n",
      "x1566 = 0.0\n",
      "x1567 = 0.0\n",
      "x1568 = 0.0\n",
      "x1569 = 0.0\n",
      "x157 = 0.0\n",
      "x1570 = 0.0\n",
      "x1571 = 0.0\n",
      "x1572 = 1.0\n",
      "x1573 = 0.0\n",
      "x1574 = 0.0\n",
      "x1575 = 0.0\n",
      "x1576 = 0.0\n",
      "x1577 = 0.0\n",
      "x1578 = 0.0\n",
      "x1579 = 0.0\n",
      "x158 = 0.0\n",
      "x1580 = 0.0\n",
      "x1581 = 0.0\n",
      "x1582 = 0.0\n",
      "x1583 = 0.0\n",
      "x1584 = 0.0\n",
      "x1585 = 0.0\n",
      "x1586 = 0.0\n",
      "x1587 = 0.0\n",
      "x1588 = 0.0\n",
      "x1589 = 0.0\n",
      "x159 = 0.0\n",
      "x1590 = 0.0\n",
      "x1591 = 0.0\n",
      "x1592 = 0.0\n",
      "x1593 = 0.0\n",
      "x1594 = 0.0\n",
      "x1595 = 0.0\n",
      "x1596 = 0.0\n",
      "x1597 = 0.0\n",
      "x1598 = 0.0\n",
      "x1599 = 0.0\n",
      "x16 = 0.0\n",
      "x160 = 0.0\n",
      "x1600 = 0.0\n",
      "x1601 = 0.0\n",
      "x1602 = 0.0\n",
      "x1603 = 0.0\n",
      "x1604 = 0.0\n",
      "x1605 = 0.0\n",
      "x1606 = 0.0\n",
      "x1607 = 0.0\n",
      "x1608 = 0.0\n",
      "x1609 = 0.0\n",
      "x161 = 0.0\n",
      "x1610 = 0.0\n",
      "x1611 = 0.0\n",
      "x1612 = 0.0\n",
      "x1613 = 0.0\n",
      "x1614 = 0.0\n",
      "x1615 = 0.0\n",
      "x1616 = 0.0\n",
      "x1617 = 0.0\n",
      "x1618 = 0.0\n",
      "x1619 = 0.0\n",
      "x162 = 0.0\n",
      "x1620 = 0.0\n",
      "x1621 = 0.0\n",
      "x1622 = 0.0\n",
      "x1623 = 0.0\n",
      "x1624 = 0.0\n",
      "x1625 = 0.0\n",
      "x1626 = 0.0\n",
      "x1627 = 0.0\n",
      "x1628 = 0.0\n",
      "x1629 = 0.0\n",
      "x163 = 0.0\n",
      "x1630 = 0.0\n",
      "x1631 = 0.0\n",
      "x1632 = 0.0\n",
      "x1633 = 0.0\n",
      "x1634 = 0.0\n",
      "x1635 = 0.0\n",
      "x1636 = 0.0\n",
      "x1637 = 0.0\n",
      "x1638 = 0.0\n",
      "x1639 = 0.0\n",
      "x164 = 0.0\n",
      "x1640 = 0.0\n",
      "x1641 = 0.0\n",
      "x1642 = 0.0\n",
      "x1643 = 0.0\n",
      "x1644 = 0.0\n",
      "x1645 = 0.0\n",
      "x1646 = 0.0\n",
      "x1647 = 0.0\n",
      "x1648 = 0.0\n",
      "x1649 = 0.0\n",
      "x165 = 0.0\n",
      "x1650 = 0.0\n",
      "x1651 = 0.0\n",
      "x1652 = 0.0\n",
      "x1653 = 0.0\n",
      "x1654 = 0.0\n",
      "x1655 = 0.0\n",
      "x1656 = 0.0\n",
      "x1657 = 0.0\n",
      "x1658 = 0.0\n",
      "x1659 = 0.0\n",
      "x166 = 0.0\n",
      "x1660 = 0.0\n",
      "x1661 = 0.0\n",
      "x1662 = 0.0\n",
      "x1663 = 0.0\n",
      "x1664 = 0.0\n",
      "x1665 = 0.0\n",
      "x1666 = 0.0\n",
      "x1667 = 0.0\n",
      "x1668 = 0.0\n",
      "x1669 = 0.0\n",
      "x167 = 0.0\n",
      "x1670 = 0.0\n",
      "x1671 = 0.0\n",
      "x1672 = 0.0\n",
      "x1673 = 0.0\n",
      "x1674 = 0.0\n",
      "x1675 = 0.0\n",
      "x1676 = 0.0\n",
      "x1677 = 0.0\n",
      "x1678 = 0.0\n",
      "x1679 = 0.0\n",
      "x168 = 0.0\n",
      "x1680 = 0.0\n",
      "x1681 = 0.0\n",
      "x1682 = 0.0\n",
      "x1683 = 0.0\n",
      "x1684 = 0.0\n",
      "x1685 = 0.0\n",
      "x1686 = 0.0\n",
      "x1687 = 0.0\n",
      "x1688 = 0.0\n",
      "x1689 = 0.0\n",
      "x169 = 0.0\n",
      "x1690 = 0.0\n",
      "x1691 = 0.0\n",
      "x1692 = 0.0\n",
      "x1693 = 0.0\n",
      "x1694 = 0.0\n",
      "x1695 = 0.0\n",
      "x1696 = 0.0\n",
      "x1697 = 0.0\n",
      "x1698 = 0.0\n",
      "x1699 = 0.0\n",
      "x17 = 0.0\n",
      "x170 = 0.0\n",
      "x1700 = 0.0\n",
      "x1701 = 0.0\n",
      "x1702 = 0.0\n",
      "x1703 = 0.0\n",
      "x1704 = 0.0\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "x1705 = 0.0\n",
      "x1706 = 0.0\n",
      "x1707 = 0.0\n",
      "x1708 = 0.0\n",
      "x1709 = 0.0\n",
      "x171 = 0.0\n",
      "x1710 = 0.0\n",
      "x1711 = 0.0\n",
      "x1712 = 0.0\n",
      "x1713 = 0.0\n",
      "x1714 = 0.0\n",
      "x1715 = 0.0\n",
      "x1716 = 0.0\n",
      "x1717 = 0.0\n",
      "x1718 = 0.0\n",
      "x1719 = 0.0\n",
      "x172 = 0.0\n",
      "x1720 = 0.0\n",
      "x1721 = 0.0\n",
      "x1722 = 0.0\n",
      "x1723 = 0.0\n",
      "x1724 = 0.0\n",
      "x1725 = 0.0\n",
      "x1726 = 0.0\n",
      "x1727 = 0.0\n",
      "x1728 = 0.0\n",
      "x1729 = 0.0\n",
      "x173 = 0.0\n",
      "x1730 = 0.0\n",
      "x1731 = 0.0\n",
      "x1732 = 0.0\n",
      "x1733 = 0.0\n",
      "x1734 = 0.0\n",
      "x1735 = 0.0\n",
      "x1736 = 0.0\n",
      "x1737 = 0.0\n",
      "x1738 = 0.0\n",
      "x1739 = 0.0\n",
      "x174 = 0.0\n",
      "x1740 = 0.0\n",
      "x1741 = 0.0\n",
      "x1742 = 0.0\n",
      "x1743 = 0.0\n",
      "x1744 = 0.0\n",
      "x1745 = 0.0\n",
      "x1746 = 0.0\n",
      "x1747 = 0.0\n",
      "x1748 = 0.0\n",
      "x1749 = 0.0\n",
      "x175 = 0.0\n",
      "x1750 = 0.0\n",
      "x1751 = 0.0\n",
      "x1752 = 0.0\n",
      "x1753 = 0.0\n",
      "x1754 = 0.0\n",
      "x1755 = 0.0\n",
      "x1756 = 0.0\n",
      "x1757 = 0.0\n",
      "x1758 = 0.0\n",
      "x1759 = 0.0\n",
      "x176 = 0.0\n",
      "x1760 = 0.0\n",
      "x1761 = 0.0\n",
      "x1762 = 0.0\n",
      "x1763 = 0.0\n",
      "x1764 = 0.0\n",
      "x1765 = 0.0\n",
      "x1766 = 0.0\n",
      "x1767 = 0.0\n",
      "x1768 = 0.0\n",
      "x1769 = 0.0\n",
      "x177 = 0.0\n",
      "x1770 = 0.0\n",
      "x1771 = 0.0\n",
      "x1772 = 0.0\n",
      "x1773 = 0.0\n",
      "x1774 = 0.0\n",
      "x1775 = 0.0\n",
      "x1776 = 1.0\n",
      "x1777 = 0.0\n",
      "x1778 = 0.0\n",
      "x1779 = 0.0\n",
      "x178 = 0.0\n",
      "x1780 = 0.0\n",
      "x1781 = 0.0\n",
      "x1782 = 0.0\n",
      "x1783 = 0.0\n",
      "x1784 = 0.0\n",
      "x1785 = 0.0\n",
      "x1786 = 0.0\n",
      "x1787 = 0.0\n",
      "x1788 = 0.0\n",
      "x1789 = 0.0\n",
      "x179 = 0.0\n",
      "x1790 = 0.0\n",
      "x1791 = 0.0\n",
      "x1792 = 0.0\n",
      "x1793 = 0.0\n",
      "x1794 = 0.0\n",
      "x1795 = 0.0\n",
      "x1796 = 0.0\n",
      "x1797 = 0.0\n",
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      "x1799 = 0.0\n",
      "x18 = 0.0\n",
      "x180 = 0.0\n",
      "x1800 = 0.0\n",
      "x1801 = 0.0\n",
      "x1802 = 0.0\n",
      "x1803 = 0.0\n",
      "x1804 = 0.0\n",
      "x1805 = 0.0\n",
      "x1806 = 0.0\n",
      "x1807 = 0.0\n",
      "x1808 = 0.0\n",
      "x1809 = 0.0\n",
      "x181 = 0.0\n",
      "x1810 = 0.0\n",
      "x1811 = 0.0\n",
      "x1812 = 0.0\n",
      "x1813 = 0.0\n",
      "x1814 = 0.0\n",
      "x1815 = 0.0\n",
      "x1816 = 0.0\n",
      "x1817 = 0.0\n",
      "x1818 = 0.0\n",
      "x1819 = 0.0\n",
      "x182 = 0.0\n",
      "x1820 = 0.0\n",
      "x1821 = 0.0\n",
      "x1822 = 0.0\n",
      "x1823 = 0.0\n",
      "x1824 = 0.0\n",
      "x1825 = 0.0\n",
      "x1826 = 0.0\n",
      "x1827 = 0.0\n",
      "x1828 = 0.0\n",
      "x1829 = 0.0\n",
      "x183 = 0.0\n",
      "x1830 = 0.0\n",
      "x1831 = 0.0\n",
      "x1832 = 0.0\n",
      "x1833 = 0.0\n",
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      "x1835 = 0.0\n",
      "x1836 = 0.0\n",
      "x1837 = 0.0\n",
      "x1838 = 0.0\n",
      "x1839 = 0.0\n",
      "x184 = 0.0\n",
      "x1840 = 0.0\n",
      "x1841 = 0.0\n",
      "x1842 = 0.0\n",
      "x1843 = 0.0\n",
      "x1844 = 0.0\n",
      "x1845 = 0.0\n",
      "x1846 = 0.0\n",
      "x1847 = 0.0\n",
      "x1848 = 0.0\n",
      "x1849 = 0.0\n",
      "x185 = 0.0\n",
      "x1850 = 0.0\n",
      "x1851 = 0.0\n",
      "x1852 = 0.0\n",
      "x1853 = 0.0\n",
      "x1854 = 0.0\n",
      "x1855 = 0.0\n",
      "x1856 = 0.0\n",
      "x1857 = 0.0\n",
      "x1858 = 0.0\n",
      "x1859 = 0.0\n",
      "x186 = 0.0\n",
      "x1860 = 0.0\n",
      "x1861 = 0.0\n",
      "x1862 = 0.0\n",
      "x1863 = 0.0\n",
      "x1864 = 0.0\n",
      "x1865 = 0.0\n",
      "x1866 = 0.0\n",
      "x1867 = 0.0\n",
      "x1868 = 0.0\n",
      "x1869 = 0.0\n",
      "x187 = 0.0\n",
      "x1870 = 0.0\n",
      "x1871 = 0.0\n",
      "x1872 = 0.0\n",
      "x1873 = 0.0\n",
      "x1874 = 0.0\n",
      "x1875 = 0.0\n",
      "x1876 = 0.0\n",
      "x1877 = 0.0\n",
      "x1878 = 0.0\n",
      "x1879 = 0.0\n",
      "x188 = 0.0\n",
      "x1880 = 0.0\n",
      "x1881 = 0.0\n",
      "x1882 = 0.0\n",
      "x1883 = 0.0\n",
      "x1884 = 0.0\n",
      "x1885 = 0.0\n",
      "x1886 = 0.0\n",
      "x1887 = 0.0\n",
      "x1888 = 0.0\n",
      "x1889 = 0.0\n",
      "x189 = 0.0\n",
      "x1890 = 0.0\n",
      "x1891 = 0.0\n",
      "x1892 = 0.0\n",
      "x1893 = 0.0\n",
      "x1894 = 0.0\n",
      "x1895 = 0.0\n",
      "x1896 = 0.0\n",
      "x1897 = 0.0\n",
      "x1898 = 0.0\n",
      "x1899 = 0.0\n",
      "x19 = 0.0\n",
      "x190 = 0.0\n",
      "x1900 = 0.0\n",
      "x1901 = 0.0\n",
      "x1902 = 0.0\n",
      "x1903 = 0.0\n",
      "x1904 = 0.0\n",
      "x1905 = 0.0\n",
      "x1906 = 0.0\n",
      "x1907 = 0.0\n",
      "x1908 = 0.0\n",
      "x1909 = 0.0\n",
      "x191 = 0.0\n",
      "x1910 = 0.0\n",
      "x1911 = 0.0\n",
      "x1912 = 0.0\n",
      "x1913 = 0.0\n",
      "x1914 = 0.0\n",
      "x1915 = 0.0\n",
      "x1916 = 0.0\n",
      "x1917 = 0.0\n",
      "x1918 = 0.0\n",
      "x1919 = 0.0\n",
      "x192 = 0.0\n",
      "x1920 = 0.0\n",
      "x1921 = 0.0\n",
      "x1922 = 0.0\n",
      "x1923 = 0.0\n",
      "x1924 = 0.0\n",
      "x1925 = 0.0\n",
      "x1926 = 0.0\n",
      "x1927 = 0.0\n",
      "x1928 = 0.0\n",
      "x1929 = 0.0\n",
      "x193 = 0.0\n",
      "x1930 = 0.0\n",
      "x1931 = 0.0\n",
      "x1932 = 0.0\n",
      "x1933 = 0.0\n",
      "x1934 = 0.0\n",
      "x1935 = 0.0\n",
      "x1936 = 0.0\n",
      "x1937 = 0.0\n",
      "x1938 = 0.0\n",
      "x1939 = 0.0\n",
      "x194 = 0.0\n",
      "x1940 = 0.0\n",
      "x1941 = 0.0\n",
      "x1942 = 0.0\n",
      "x1943 = 0.0\n",
      "x1944 = 0.0\n",
      "x1945 = 0.0\n",
      "x1946 = 0.0\n",
      "x1947 = 0.0\n",
      "x1948 = 0.0\n",
      "x1949 = 0.0\n",
      "x195 = 0.0\n",
      "x1950 = 0.0\n",
      "x1951 = 0.0\n",
      "x1952 = 0.0\n",
      "x1953 = 0.0\n",
      "x1954 = 0.0\n",
      "x1955 = 0.0\n",
      "x1956 = 0.0\n",
      "x1957 = 0.0\n",
      "x1958 = 0.0\n",
      "x1959 = 0.0\n",
      "x196 = 0.0\n",
      "x1960 = 0.0\n",
      "x1961 = 0.0\n",
      "x1962 = 0.0\n",
      "x1963 = 0.0\n",
      "x1964 = 0.0\n",
      "x1965 = 0.0\n",
      "x1966 = 0.0\n",
      "x1967 = 0.0\n",
      "x1968 = 0.0\n",
      "x1969 = 0.0\n",
      "x197 = 0.0\n",
      "x1970 = 0.0\n",
      "x1971 = 0.0\n",
      "x1972 = 0.0\n",
      "x1973 = 0.0\n",
      "x1974 = 0.0\n",
      "x1975 = 0.0\n",
      "x1976 = 0.0\n",
      "x1977 = 0.0\n",
      "x1978 = 0.0\n",
      "x1979 = 0.0\n",
      "x198 = 0.0\n",
      "x1980 = 0.0\n",
      "x1981 = 0.0\n",
      "x1982 = 0.0\n",
      "x1983 = 0.0\n",
      "x1984 = 0.0\n",
      "x1985 = 0.0\n",
      "x1986 = 0.0\n",
      "x1987 = 0.0\n",
      "x1988 = 0.0\n",
      "x1989 = 0.0\n",
      "x199 = 0.0\n",
      "x1990 = 0.0\n",
      "x1991 = 0.0\n",
      "x1992 = 0.0\n",
      "x1993 = 0.0\n",
      "x1994 = 0.0\n",
      "x1995 = 0.0\n",
      "x1996 = 0.0\n",
      "x1997 = 0.0\n",
      "x1998 = 0.0\n",
      "x1999 = 0.0\n",
      "x2 = 0.0\n",
      "x20 = 0.0\n",
      "x200 = 0.0\n",
      "x2000 = 0.0\n",
      "x2001 = 0.0\n",
      "x2002 = 0.0\n",
      "x2003 = 0.0\n",
      "x2004 = 0.0\n",
      "x2005 = 0.0\n",
      "x2006 = 0.0\n",
      "x2007 = 0.0\n",
      "x2008 = 0.0\n",
      "x2009 = 0.0\n",
      "x201 = 1.0\n",
      "x2010 = 0.0\n",
      "x2011 = 0.0\n",
      "x2012 = 0.0\n",
      "x2013 = 0.0\n",
      "x2014 = 0.0\n",
      "x2015 = 0.0\n",
      "x2016 = 0.0\n",
      "x2017 = 0.0\n",
      "x2018 = 0.0\n",
      "x2019 = 0.0\n",
      "x202 = 0.0\n",
      "x2020 = 0.0\n",
      "x2021 = 0.0\n",
      "x2022 = 0.0\n",
      "x2023 = 0.0\n",
      "x2024 = 0.0\n",
      "x2025 = 0.0\n",
      "x2026 = 0.0\n",
      "x2027 = 0.0\n",
      "x2028 = 0.0\n",
      "x2029 = 0.0\n",
      "x203 = 0.0\n",
      "x2030 = 0.0\n",
      "x2031 = 0.0\n",
      "x2032 = 0.0\n",
      "x2033 = 0.0\n",
      "x2034 = 0.0\n",
      "x2035 = 0.0\n",
      "x2036 = 0.0\n",
      "x2037 = 0.0\n",
      "x2038 = 0.0\n",
      "x2039 = 0.0\n",
      "x204 = 0.0\n",
      "x2040 = 0.0\n",
      "x2041 = 0.0\n",
      "x2042 = 0.0\n",
      "x2043 = 0.0\n",
      "x2044 = 0.0\n",
      "x2045 = 0.0\n",
      "x2046 = 0.0\n",
      "x2047 = 0.0\n",
      "x2048 = 0.0\n",
      "x2049 = 0.0\n",
      "x205 = 0.0\n",
      "x2050 = 0.0\n",
      "x2051 = 0.0\n",
      "x2052 = 0.0\n",
      "x2053 = 0.0\n",
      "x2054 = 0.0\n",
      "x2055 = 0.0\n",
      "x2056 = 0.0\n",
      "x2057 = 0.0\n",
      "x2058 = 0.0\n",
      "x2059 = 0.0\n",
      "x206 = 0.0\n",
      "x2060 = 0.0\n",
      "x2061 = 0.0\n",
      "x2062 = 0.0\n",
      "x2063 = 0.0\n",
      "x2064 = 0.0\n",
      "x2065 = 0.0\n",
      "x2066 = 0.0\n",
      "x2067 = 0.0\n",
      "x2068 = 0.0\n",
      "x2069 = 0.0\n",
      "x207 = 0.0\n",
      "x2070 = 0.0\n",
      "x2071 = 0.0\n",
      "x2072 = 0.0\n",
      "x2073 = 0.0\n",
      "x2074 = 0.0\n",
      "x2075 = 0.0\n",
      "x2076 = 0.0\n",
      "x2077 = 0.0\n",
      "x2078 = 0.0\n",
      "x2079 = 0.0\n",
      "x208 = 0.0\n",
      "x2080 = 0.0\n",
      "x2081 = 0.0\n",
      "x2082 = 0.0\n",
      "x2083 = 0.0\n",
      "x2084 = 0.0\n",
      "x2085 = 0.0\n",
      "x2086 = 0.0\n",
      "x2087 = 0.0\n",
      "x2088 = 0.0\n",
      "x2089 = 0.0\n",
      "x209 = 0.0\n",
      "x2090 = 0.0\n",
      "x2091 = 0.0\n",
      "x2092 = 0.0\n",
      "x2093 = 0.0\n",
      "x2094 = 0.0\n",
      "x2095 = 0.0\n",
      "x2096 = 0.0\n",
      "x2097 = 0.0\n",
      "x2098 = 0.0\n",
      "x2099 = 0.0\n",
      "x21 = 0.0\n",
      "x210 = 0.0\n",
      "x2100 = 0.0\n",
      "x2101 = 0.0\n",
      "x2102 = 0.0\n",
      "x2103 = 0.0\n",
      "x2104 = 0.0\n",
      "x2105 = 0.0\n",
      "x2106 = 0.0\n",
      "x2107 = 0.0\n",
      "x2108 = 0.0\n",
      "x2109 = 1.0\n",
      "x211 = 0.0\n",
      "x2110 = 0.0\n",
      "x2111 = 0.0\n",
      "x2112 = 0.0\n",
      "x2113 = 0.0\n",
      "x2114 = 1.0\n",
      "x2115 = 0.0\n",
      "x2116 = 0.0\n",
      "x2117 = 0.0\n",
      "x2118 = 0.0\n",
      "x2119 = 0.0\n",
      "x212 = 0.0\n",
      "x2120 = 0.0\n",
      "x2121 = 0.0\n",
      "x2122 = 0.0\n",
      "x2123 = 0.0\n",
      "x2124 = 0.0\n",
      "x2125 = 0.0\n",
      "x2126 = 0.0\n",
      "x2127 = 0.0\n",
      "x2128 = 0.0\n",
      "x2129 = 0.0\n",
      "x213 = 0.0\n",
      "x2130 = 0.0\n",
      "x2131 = 0.0\n",
      "x2132 = 0.0\n",
      "x2133 = 0.0\n",
      "x2134 = 0.0\n",
      "x2135 = 0.0\n",
      "x2136 = 0.0\n",
      "x2137 = 0.0\n",
      "x2138 = 0.0\n",
      "x2139 = 0.0\n",
      "x214 = 0.0\n",
      "x2140 = 0.0\n",
      "x2141 = 0.0\n",
      "x2142 = 0.0\n",
      "x2143 = 0.0\n",
      "x2144 = 0.0\n",
      "x2145 = 0.0\n",
      "x2146 = 0.0\n",
      "x2147 = 0.0\n",
      "x2148 = 0.0\n",
      "x2149 = 0.0\n",
      "x215 = 0.0\n",
      "x2150 = 0.0\n",
      "x2151 = 0.0\n",
      "x2152 = 0.0\n",
      "x2153 = 0.0\n",
      "x2154 = 0.0\n",
      "x2155 = 0.0\n",
      "x2156 = 0.0\n",
      "x2157 = 0.0\n",
      "x2158 = 0.0\n",
      "x2159 = 0.0\n",
      "x216 = 0.0\n",
      "x2160 = 0.0\n",
      "x2161 = 1.0\n",
      "x2162 = 0.0\n",
      "x2163 = 0.0\n",
      "x2164 = 0.0\n",
      "x2165 = 0.0\n",
      "x2166 = 0.0\n",
      "x2167 = 0.0\n",
      "x2168 = 0.0\n",
      "x2169 = 0.0\n",
      "x217 = 0.0\n",
      "x2170 = 0.0\n",
      "x2171 = 0.0\n",
      "x2172 = 0.0\n",
      "x2173 = 0.0\n",
      "x2174 = 0.0\n",
      "x2175 = 0.0\n",
      "x2176 = 0.0\n",
      "x2177 = 0.0\n",
      "x2178 = 0.0\n",
      "x2179 = 0.0\n",
      "x218 = 0.0\n",
      "x2180 = 0.0\n",
      "x2181 = 0.0\n",
      "x2182 = 0.0\n",
      "x2183 = 0.0\n",
      "x2184 = 0.0\n",
      "x2185 = 0.0\n",
      "x2186 = 0.0\n",
      "x2187 = 0.0\n",
      "x2188 = 0.0\n",
      "x2189 = 0.0\n",
      "x219 = 0.0\n",
      "x2190 = 0.0\n",
      "x2191 = 0.0\n",
      "x2192 = 0.0\n",
      "x2193 = 0.0\n",
      "x2194 = 0.0\n",
      "x2195 = 0.0\n",
      "x2196 = 0.0\n",
      "x2197 = 0.0\n",
      "x2198 = 0.0\n",
      "x2199 = 0.0\n",
      "x22 = 0.0\n",
      "x220 = 0.0\n",
      "x2200 = 0.0\n",
      "x2201 = 0.0\n",
      "x2202 = 0.0\n",
      "x2203 = 0.0\n",
      "x2204 = 0.0\n",
      "x2205 = 0.0\n",
      "x2206 = 0.0\n",
      "x2207 = 0.0\n",
      "x2208 = 0.0\n",
      "x2209 = 0.0\n",
      "x221 = 0.0\n",
      "x2210 = 0.0\n",
      "x2211 = 0.0\n",
      "x2212 = 0.0\n",
      "x2213 = 0.0\n",
      "x2214 = 0.0\n",
      "x2215 = 0.0\n",
      "x2216 = 0.0\n",
      "x2217 = 0.0\n",
      "x2218 = 0.0\n",
      "x2219 = 0.0\n",
      "x222 = 0.0\n",
      "x2220 = 0.0\n",
      "x2221 = 0.0\n",
      "x2222 = 0.0\n",
      "x2223 = 0.0\n",
      "x2224 = 0.0\n",
      "x2225 = 0.0\n",
      "x2226 = 0.0\n",
      "x2227 = 0.0\n",
      "x2228 = 0.0\n",
      "x2229 = 0.0\n",
      "x223 = 0.0\n",
      "x2230 = 0.0\n",
      "x2231 = 0.0\n",
      "x2232 = 0.0\n",
      "x2233 = 0.0\n",
      "x2234 = 0.0\n",
      "x2235 = 0.0\n",
      "x2236 = 0.0\n",
      "x2237 = 0.0\n",
      "x2238 = 0.0\n",
      "x2239 = 0.0\n",
      "x224 = 0.0\n",
      "x2240 = 0.0\n",
      "x2241 = 0.0\n",
      "x2242 = 0.0\n",
      "x2243 = 0.0\n",
      "x2244 = 0.0\n",
      "x2245 = 0.0\n",
      "x2246 = 0.0\n",
      "x2247 = 0.0\n",
      "x2248 = 0.0\n",
      "x2249 = 0.0\n",
      "x225 = 0.0\n",
      "x2250 = 0.0\n",
      "x2251 = 0.0\n",
      "x2252 = 0.0\n",
      "x2253 = 0.0\n",
      "x2254 = 0.0\n",
      "x2255 = 0.0\n",
      "x2256 = 0.0\n",
      "x2257 = 0.0\n",
      "x2258 = 0.0\n",
      "x2259 = 0.0\n",
      "x226 = 0.0\n",
      "x2260 = 0.0\n",
      "x2261 = 0.0\n",
      "x2262 = 0.0\n",
      "x2263 = 0.0\n",
      "x2264 = 0.0\n",
      "x2265 = 0.0\n",
      "x2266 = 0.0\n",
      "x2267 = 0.0\n",
      "x2268 = 0.0\n",
      "x2269 = 0.0\n",
      "x227 = 0.0\n",
      "x2270 = 0.0\n",
      "x2271 = 0.0\n",
      "x2272 = 0.0\n",
      "x2273 = 0.0\n",
      "x2274 = 0.0\n",
      "x2275 = 0.0\n",
      "x2276 = 0.0\n",
      "x2277 = 0.0\n",
      "x2278 = 0.0\n",
      "x2279 = 0.0\n",
      "x228 = 0.0\n",
      "x2280 = 0.0\n",
      "x2281 = 0.0\n",
      "x2282 = 0.0\n",
      "x2283 = 0.0\n",
      "x2284 = 0.0\n",
      "x2285 = 0.0\n",
      "x2286 = 0.0\n",
      "x2287 = 0.0\n",
      "x2288 = 0.0\n",
      "x2289 = 0.0\n",
      "x229 = 0.0\n",
      "x2290 = 0.0\n",
      "x2291 = 0.0\n",
      "x2292 = 0.0\n",
      "x2293 = 0.0\n",
      "x2294 = 0.0\n",
      "x2295 = 0.0\n",
      "x2296 = 0.0\n",
      "x2297 = 0.0\n",
      "x2298 = 0.0\n",
      "x2299 = 0.0\n",
      "x23 = 0.0\n",
      "x230 = 0.0\n",
      "x2300 = 0.0\n",
      "x2301 = 0.0\n",
      "x2302 = 0.0\n",
      "x2303 = 0.0\n",
      "x2304 = 0.0\n",
      "x2305 = 0.0\n",
      "x2306 = 0.0\n",
      "x2307 = 0.0\n",
      "x2308 = 0.0\n",
      "x2309 = 0.0\n",
      "x231 = 0.0\n",
      "x2310 = 0.0\n",
      "x2311 = 0.0\n",
      "x2312 = 0.0\n",
      "x2313 = 0.0\n",
      "x2314 = 0.0\n",
      "x2315 = 0.0\n",
      "x2316 = 0.0\n",
      "x2317 = 0.0\n",
      "x2318 = 0.0\n",
      "x2319 = 0.0\n",
      "x232 = 0.0\n",
      "x2320 = 0.0\n",
      "x2321 = 0.0\n",
      "x2322 = 0.0\n",
      "x2323 = 0.0\n",
      "x2324 = 0.0\n",
      "x2325 = 0.0\n",
      "x2326 = 0.0\n",
      "x2327 = 0.0\n",
      "x2328 = 0.0\n",
      "x2329 = 0.0\n",
      "x233 = 0.0\n",
      "x2330 = 0.0\n",
      "x2331 = 0.0\n",
      "x2332 = 0.0\n",
      "x2333 = 0.0\n",
      "x2334 = 0.0\n",
      "x2335 = 0.0\n",
      "x2336 = 0.0\n",
      "x2337 = 0.0\n",
      "x2338 = 0.0\n",
      "x2339 = 0.0\n",
      "x234 = 0.0\n",
      "x2340 = 0.0\n",
      "x2341 = 0.0\n",
      "x2342 = 0.0\n",
      "x2343 = 0.0\n",
      "x2344 = 0.0\n",
      "x2345 = 0.0\n",
      "x2346 = 0.0\n",
      "x2347 = 0.0\n",
      "x2348 = 0.0\n",
      "x2349 = 0.0\n",
      "x235 = 0.0\n",
      "x2350 = 0.0\n",
      "x2351 = 0.0\n",
      "x2352 = 0.0\n",
      "x2353 = 0.0\n",
      "x2354 = 0.0\n",
      "x2355 = 0.0\n",
      "x2356 = 0.0\n",
      "x2357 = 0.0\n",
      "x2358 = 0.0\n",
      "x2359 = 0.0\n",
      "x236 = 0.0\n",
      "x2360 = 0.0\n",
      "x2361 = 0.0\n",
      "x2362 = 0.0\n",
      "x2363 = 0.0\n",
      "x2364 = 0.0\n",
      "x2365 = 0.0\n",
      "x2366 = 0.0\n",
      "x2367 = 0.0\n",
      "x2368 = 0.0\n",
      "x2369 = 0.0\n",
      "x237 = 0.0\n",
      "x2370 = 0.0\n",
      "x2371 = 0.0\n",
      "x2372 = 0.0\n",
      "x2373 = 0.0\n",
      "x2374 = 0.0\n",
      "x2375 = 0.0\n",
      "x2376 = 0.0\n",
      "x2377 = 0.0\n",
      "x2378 = 0.0\n",
      "x2379 = 0.0\n",
      "x238 = 0.0\n",
      "x2380 = 0.0\n",
      "x2381 = 0.0\n",
      "x2382 = 0.0\n",
      "x2383 = 0.0\n",
      "x2384 = 0.0\n",
      "x2385 = 0.0\n",
      "x2386 = 0.0\n",
      "x2387 = 0.0\n",
      "x2388 = 0.0\n",
      "x2389 = 0.0\n",
      "x239 = 0.0\n",
      "x2390 = 0.0\n",
      "x2391 = 0.0\n",
      "x2392 = 0.0\n",
      "x2393 = 0.0\n",
      "x2394 = 0.0\n",
      "x2395 = 0.0\n",
      "x2396 = 0.0\n",
      "x2397 = 0.0\n",
      "x2398 = 0.0\n",
      "x2399 = 0.0\n",
      "x24 = 0.0\n",
      "x240 = 0.0\n",
      "x2400 = 0.0\n",
      "x2401 = 0.0\n",
      "x2402 = 0.0\n",
      "x2403 = 0.0\n",
      "x2404 = 0.0\n",
      "x2405 = 0.0\n",
      "x2406 = 0.0\n",
      "x2407 = 0.0\n",
      "x2408 = 0.0\n",
      "x2409 = 0.0\n",
      "x241 = 0.0\n",
      "x2410 = 0.0\n",
      "x2411 = 0.0\n",
      "x2412 = 0.0\n",
      "x2413 = 0.0\n",
      "x2414 = 0.0\n",
      "x2415 = 0.0\n",
      "x2416 = 0.0\n",
      "x2417 = 0.0\n",
      "x2418 = 0.0\n",
      "x2419 = 0.0\n",
      "x242 = 0.0\n",
      "x2420 = 0.0\n",
      "x2421 = 0.0\n",
      "x2422 = 0.0\n",
      "x2423 = 0.0\n",
      "x2424 = 0.0\n",
      "x2425 = 0.0\n",
      "x2426 = 0.0\n",
      "x2427 = 0.0\n",
      "x2428 = 0.0\n",
      "x2429 = 0.0\n",
      "x243 = 0.0\n",
      "x2430 = 0.0\n",
      "x2431 = 0.0\n",
      "x2432 = 0.0\n",
      "x2433 = 0.0\n",
      "x2434 = 0.0\n",
      "x2435 = 0.0\n",
      "x2436 = 0.0\n",
      "x2437 = 0.0\n",
      "x2438 = 0.0\n",
      "x2439 = 0.0\n",
      "x244 = 0.0\n",
      "x2440 = 0.0\n",
      "x2441 = 0.0\n",
      "x2442 = 0.0\n",
      "x2443 = 0.0\n",
      "x2444 = 0.0\n",
      "x2445 = 0.0\n",
      "x2446 = 0.0\n",
      "x2447 = 0.0\n",
      "x2448 = 0.0\n",
      "x2449 = 0.0\n",
      "x245 = 0.0\n",
      "x2450 = 0.0\n",
      "x2451 = 0.0\n",
      "x2452 = 0.0\n",
      "x2453 = 0.0\n",
      "x2454 = 0.0\n",
      "x2455 = 0.0\n",
      "x2456 = 0.0\n",
      "x2457 = 0.0\n",
      "x2458 = 0.0\n",
      "x2459 = 0.0\n",
      "x246 = 0.0\n",
      "x2460 = 0.0\n",
      "x2461 = 0.0\n",
      "x2462 = 0.0\n",
      "x2463 = 0.0\n",
      "x2464 = 0.0\n",
      "x2465 = 0.0\n",
      "x2466 = 0.0\n",
      "x2467 = 0.0\n",
      "x2468 = 0.0\n",
      "x2469 = 0.0\n",
      "x247 = 0.0\n",
      "x2470 = 0.0\n",
      "x2471 = 0.0\n",
      "x2472 = 0.0\n",
      "x2473 = 0.0\n",
      "x2474 = 0.0\n",
      "x2475 = 0.0\n",
      "x2476 = 0.0\n",
      "x2477 = 0.0\n",
      "x2478 = 0.0\n",
      "x2479 = 0.0\n",
      "x248 = 0.0\n",
      "x2480 = 0.0\n",
      "x2481 = 0.0\n",
      "x2482 = 0.0\n",
      "x2483 = 0.0\n",
      "x2484 = 0.0\n",
      "x2485 = 0.0\n",
      "x2486 = 0.0\n",
      "x2487 = 0.0\n",
      "x2488 = 0.0\n",
      "x2489 = 0.0\n",
      "x249 = 0.0\n",
      "x2490 = 0.0\n",
      "x2491 = 0.0\n",
      "x2492 = 0.0\n",
      "x2493 = 0.0\n",
      "x2494 = 0.0\n",
      "x2495 = 0.0\n",
      "x2496 = 0.0\n",
      "x2497 = 0.0\n",
      "x2498 = 0.0\n",
      "x2499 = 0.0\n",
      "x25 = 0.0\n",
      "x250 = 0.0\n",
      "x2500 = 0.0\n",
      "x2501 = 0.0\n",
      "x2502 = 0.0\n",
      "x2503 = 0.0\n",
      "x2504 = 0.0\n",
      "x2505 = 0.0\n",
      "x2506 = 0.0\n",
      "x2507 = 0.0\n",
      "x2508 = 0.0\n",
      "x2509 = 0.0\n",
      "x251 = 0.0\n",
      "x2510 = 0.0\n",
      "x2511 = 0.0\n",
      "x2512 = 0.0\n",
      "x2513 = 0.0\n",
      "x2514 = 0.0\n",
      "x2515 = 0.0\n",
      "x2516 = 0.0\n",
      "x2517 = 0.0\n",
      "x2518 = 0.0\n",
      "x2519 = 0.0\n",
      "x252 = 0.0\n",
      "x2520 = 0.0\n",
      "x2521 = 0.0\n",
      "x2522 = 0.0\n",
      "x2523 = 0.0\n",
      "x2524 = 0.0\n",
      "x2525 = 0.0\n",
      "x2526 = 0.0\n",
      "x2527 = 0.0\n",
      "x2528 = 0.0\n",
      "x2529 = 0.0\n",
      "x253 = 0.0\n",
      "x2530 = 0.0\n",
      "x2531 = 0.0\n",
      "x2532 = 0.0\n",
      "x2533 = 0.0\n",
      "x2534 = 0.0\n",
      "x2535 = 0.0\n",
      "x2536 = 0.0\n",
      "x2537 = 0.0\n",
      "x2538 = 0.0\n",
      "x2539 = 0.0\n",
      "x254 = 0.0\n",
      "x2540 = 0.0\n",
      "x2541 = 0.0\n",
      "x2542 = 0.0\n",
      "x2543 = 0.0\n",
      "x2544 = 0.0\n",
      "x2545 = 0.0\n",
      "x2546 = 0.0\n",
      "x2547 = 0.0\n",
      "x2548 = 0.0\n",
      "x2549 = 0.0\n",
      "x255 = 0.0\n",
      "x256 = 0.0\n",
      "x257 = 0.0\n",
      "x258 = 0.0\n",
      "x259 = 0.0\n",
      "x26 = 0.0\n",
      "x260 = 0.0\n",
      "x261 = 0.0\n",
      "x262 = 1.0\n",
      "x263 = 0.0\n",
      "x264 = 0.0\n",
      "x265 = 0.0\n",
      "x266 = 0.0\n",
      "x267 = 0.0\n",
      "x268 = 0.0\n",
      "x269 = 0.0\n",
      "x27 = 0.0\n",
      "x270 = 0.0\n",
      "x271 = 0.0\n",
      "x272 = 0.0\n",
      "x273 = 0.0\n",
      "x274 = 0.0\n",
      "x275 = 0.0\n",
      "x276 = 0.0\n",
      "x277 = 0.0\n",
      "x278 = 0.0\n",
      "x279 = 0.0\n",
      "x28 = 0.0\n",
      "x280 = 0.0\n",
      "x281 = 0.0\n",
      "x282 = 0.0\n",
      "x283 = 0.0\n",
      "x284 = 0.0\n",
      "x285 = 0.0\n",
      "x286 = 0.0\n",
      "x287 = 0.0\n",
      "x288 = 0.0\n",
      "x289 = 0.0\n",
      "x29 = 1.0\n",
      "x290 = 0.0\n",
      "x291 = 0.0\n",
      "x292 = 0.0\n",
      "x293 = 0.0\n",
      "x294 = 0.0\n",
      "x295 = 0.0\n",
      "x296 = 0.0\n",
      "x297 = 0.0\n",
      "x298 = 0.0\n",
      "x299 = 0.0\n",
      "x3 = 0.0\n",
      "x30 = 0.0\n",
      "x300 = 0.0\n",
      "x301 = 0.0\n",
      "x302 = 0.0\n",
      "x303 = 0.0\n",
      "x304 = 0.0\n",
      "x305 = 0.0\n",
      "x306 = 0.0\n",
      "x307 = 0.0\n",
      "x308 = 0.0\n",
      "x309 = 0.0\n",
      "x31 = 0.0\n",
      "x310 = 0.0\n",
      "x311 = 0.0\n",
      "x312 = 0.0\n",
      "x313 = 0.0\n",
      "x314 = 0.0\n",
      "x315 = 0.0\n",
      "x316 = 0.0\n",
      "x317 = 0.0\n",
      "x318 = 0.0\n",
      "x319 = 0.0\n",
      "x32 = 0.0\n",
      "x320 = 0.0\n",
      "x321 = 0.0\n",
      "x322 = 0.0\n",
      "x323 = 0.0\n",
      "x324 = 0.0\n",
      "x325 = 0.0\n",
      "x326 = 0.0\n",
      "x327 = 0.0\n",
      "x328 = 0.0\n",
      "x329 = 0.0\n",
      "x33 = 0.0\n",
      "x330 = 0.0\n",
      "x331 = 0.0\n",
      "x332 = 0.0\n",
      "x333 = 0.0\n",
      "x334 = 0.0\n",
      "x335 = 0.0\n",
      "x336 = 0.0\n",
      "x337 = 0.0\n",
      "x338 = 0.0\n",
      "x339 = 0.0\n",
      "x34 = 0.0\n",
      "x340 = 0.0\n",
      "x341 = 0.0\n",
      "x342 = 0.0\n",
      "x343 = 0.0\n",
      "x344 = 0.0\n",
      "x345 = 0.0\n",
      "x346 = 0.0\n",
      "x347 = 0.0\n",
      "x348 = 0.0\n",
      "x349 = 0.0\n",
      "x35 = 0.0\n",
      "x350 = 0.0\n",
      "x351 = 0.0\n",
      "x352 = 0.0\n",
      "x353 = 0.0\n",
      "x354 = 0.0\n",
      "x355 = 0.0\n",
      "x356 = 0.0\n",
      "x357 = 0.0\n",
      "x358 = 0.0\n",
      "x359 = 0.0\n",
      "x36 = 0.0\n",
      "x360 = 0.0\n",
      "x361 = 0.0\n",
      "x362 = 0.0\n",
      "x363 = 0.0\n",
      "x364 = 0.0\n",
      "x365 = 0.0\n",
      "x366 = 0.0\n",
      "x367 = 0.0\n",
      "x368 = 0.0\n",
      "x369 = 0.0\n",
      "x37 = 0.0\n",
      "x370 = 0.0\n",
      "x371 = 0.0\n",
      "x372 = 0.0\n",
      "x373 = 0.0\n",
      "x374 = 0.0\n",
      "x375 = 0.0\n",
      "x376 = 0.0\n",
      "x377 = 0.0\n",
      "x378 = 0.0\n",
      "x379 = 0.0\n",
      "x38 = 0.0\n",
      "x380 = 0.0\n",
      "x381 = 0.0\n",
      "x382 = 0.0\n",
      "x383 = 0.0\n",
      "x384 = 0.0\n",
      "x385 = 0.0\n",
      "x386 = 0.0\n",
      "x387 = 0.0\n",
      "x388 = 0.0\n",
      "x389 = 0.0\n",
      "x39 = 0.0\n",
      "x390 = 0.0\n",
      "x391 = 0.0\n",
      "x392 = 0.0\n",
      "x393 = 0.0\n",
      "x394 = 0.0\n",
      "x395 = 0.0\n",
      "x396 = 0.0\n",
      "x397 = 0.0\n",
      "x398 = 0.0\n",
      "x399 = 0.0\n",
      "x4 = 1.0\n",
      "x40 = 0.0\n",
      "x400 = 0.0\n",
      "x401 = 0.0\n",
      "x402 = 0.0\n",
      "x403 = 0.0\n",
      "x404 = 0.0\n",
      "x405 = 0.0\n",
      "x406 = 0.0\n",
      "x407 = 0.0\n",
      "x408 = 0.0\n",
      "x409 = 0.0\n",
      "x41 = 0.0\n",
      "x410 = 0.0\n",
      "x411 = 0.0\n",
      "x412 = 0.0\n",
      "x413 = 0.0\n",
      "x414 = 0.0\n",
      "x415 = 0.0\n",
      "x416 = 0.0\n",
      "x417 = 0.0\n",
      "x418 = 0.0\n",
      "x419 = 0.0\n",
      "x42 = 0.0\n",
      "x420 = 0.0\n",
      "x421 = 0.0\n",
      "x422 = 0.0\n",
      "x423 = 0.0\n",
      "x424 = 0.0\n",
      "x425 = 0.0\n",
      "x426 = 0.0\n",
      "x427 = 0.0\n",
      "x428 = 0.0\n",
      "x429 = 0.0\n",
      "x43 = 0.0\n",
      "x430 = 0.0\n",
      "x431 = 0.0\n",
      "x432 = 0.0\n",
      "x433 = 0.0\n",
      "x434 = 0.0\n",
      "x435 = 0.0\n",
      "x436 = 0.0\n",
      "x437 = 0.0\n",
      "x438 = 0.0\n",
      "x439 = 0.0\n",
      "x44 = 0.0\n",
      "x440 = 0.0\n",
      "x441 = 0.0\n",
      "x442 = 0.0\n",
      "x443 = 0.0\n",
      "x444 = 0.0\n",
      "x445 = 0.0\n",
      "x446 = 0.0\n",
      "x447 = 0.0\n",
      "x448 = 0.0\n",
      "x449 = 0.0\n",
      "x45 = 0.0\n",
      "x450 = 0.0\n",
      "x451 = 0.0\n",
      "x452 = 1.0\n",
      "x453 = 0.0\n",
      "x454 = 0.0\n",
      "x455 = 0.0\n",
      "x456 = 0.0\n",
      "x457 = 0.0\n",
      "x458 = 0.0\n",
      "x459 = 0.0\n",
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      "x469 = 0.0\n",
      "x47 = 0.0\n",
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      "x478 = 0.0\n",
      "x479 = 0.0\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "x48 = 0.0\n",
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      "x773 = 0.0\n",
      "x774 = 0.0\n",
      "x775 = 0.0\n",
      "x776 = 0.0\n",
      "x777 = 0.0\n",
      "x778 = 0.0\n",
      "x779 = 0.0\n",
      "x78 = 0.0\n",
      "x780 = 0.0\n",
      "x781 = 0.0\n",
      "x782 = 0.0\n",
      "x783 = 0.0\n",
      "x784 = 0.0\n",
      "x785 = 0.0\n",
      "x786 = 0.0\n",
      "x787 = 0.0\n",
      "x788 = 0.0\n",
      "x789 = 0.0\n",
      "x79 = 0.0\n",
      "x790 = 0.0\n",
      "x791 = 0.0\n",
      "x792 = 0.0\n",
      "x793 = 0.0\n",
      "x794 = 0.0\n",
      "x795 = 0.0\n",
      "x796 = 0.0\n",
      "x797 = 0.0\n",
      "x798 = 0.0\n",
      "x799 = 0.0\n",
      "x8 = 0.0\n",
      "x80 = 0.0\n",
      "x800 = 0.0\n",
      "x801 = 0.0\n",
      "x802 = 0.0\n",
      "x803 = 0.0\n",
      "x804 = 0.0\n",
      "x805 = 0.0\n",
      "x806 = 0.0\n",
      "x807 = 0.0\n",
      "x808 = 0.0\n",
      "x809 = 0.0\n",
      "x81 = 0.0\n",
      "x810 = 0.0\n",
      "x811 = 0.0\n",
      "x812 = 0.0\n",
      "x813 = 0.0\n",
      "x814 = 0.0\n",
      "x815 = 0.0\n",
      "x816 = 0.0\n",
      "x817 = 0.0\n",
      "x818 = 0.0\n",
      "x819 = 0.0\n",
      "x82 = 0.0\n",
      "x820 = 0.0\n",
      "x821 = 0.0\n",
      "x822 = 0.0\n",
      "x823 = 0.0\n",
      "x824 = 0.0\n",
      "x825 = 0.0\n",
      "x826 = 0.0\n",
      "x827 = 0.0\n",
      "x828 = 0.0\n",
      "x829 = 0.0\n",
      "x83 = 0.0\n",
      "x830 = 0.0\n",
      "x831 = 0.0\n",
      "x832 = 0.0\n",
      "x833 = 0.0\n",
      "x834 = 0.0\n",
      "x835 = 0.0\n",
      "x836 = 0.0\n",
      "x837 = 1.0\n",
      "x838 = 0.0\n",
      "x839 = 0.0\n",
      "x84 = 0.0\n",
      "x840 = 0.0\n",
      "x841 = 0.0\n",
      "x842 = 0.0\n",
      "x843 = 0.0\n",
      "x844 = 0.0\n",
      "x845 = 0.0\n",
      "x846 = 0.0\n",
      "x847 = 0.0\n",
      "x848 = 0.0\n",
      "x849 = 0.0\n",
      "x85 = 0.0\n",
      "x850 = 0.0\n",
      "x851 = 0.0\n",
      "x852 = 0.0\n",
      "x853 = 0.0\n",
      "x854 = 0.0\n",
      "x855 = 0.0\n",
      "x856 = 0.0\n",
      "x857 = 0.0\n",
      "x858 = 0.0\n",
      "x859 = 0.0\n",
      "x86 = 0.0\n",
      "x860 = 0.0\n",
      "x861 = 0.0\n",
      "x862 = 0.0\n",
      "x863 = 0.0\n",
      "x864 = 0.0\n",
      "x865 = 0.0\n",
      "x866 = 0.0\n",
      "x867 = 0.0\n",
      "x868 = 0.0\n",
      "x869 = 0.0\n",
      "x87 = 0.0\n",
      "x870 = 0.0\n",
      "x871 = 0.0\n",
      "x872 = 0.0\n",
      "x873 = 0.0\n",
      "x874 = 0.0\n",
      "x875 = 0.0\n",
      "x876 = 0.0\n",
      "x877 = 0.0\n",
      "x878 = 0.0\n",
      "x879 = 0.0\n",
      "x88 = 0.0\n",
      "x880 = 0.0\n",
      "x881 = 0.0\n",
      "x882 = 0.0\n",
      "x883 = 0.0\n",
      "x884 = 0.0\n",
      "x885 = 0.0\n",
      "x886 = 0.0\n",
      "x887 = 0.0\n",
      "x888 = 0.0\n",
      "x889 = 0.0\n",
      "x89 = 0.0\n",
      "x890 = 0.0\n",
      "x891 = 0.0\n",
      "x892 = 0.0\n",
      "x893 = 0.0\n",
      "x894 = 0.0\n",
      "x895 = 0.0\n",
      "x896 = 0.0\n",
      "x897 = 0.0\n",
      "x898 = 0.0\n",
      "x899 = 0.0\n",
      "x9 = 0.0\n",
      "x90 = 0.0\n",
      "x900 = 0.0\n",
      "x901 = 0.0\n",
      "x902 = 0.0\n",
      "x903 = 0.0\n",
      "x904 = 0.0\n",
      "x905 = 0.0\n",
      "x906 = 0.0\n",
      "x907 = 0.0\n",
      "x908 = 0.0\n",
      "x909 = 0.0\n",
      "x91 = 0.0\n",
      "x910 = 0.0\n",
      "x911 = 0.0\n",
      "x912 = 0.0\n",
      "x913 = 0.0\n",
      "x914 = 0.0\n",
      "x915 = 0.0\n",
      "x916 = 0.0\n",
      "x917 = 0.0\n",
      "x918 = 0.0\n",
      "x919 = 0.0\n",
      "x92 = 0.0\n",
      "x920 = 0.0\n",
      "x921 = 0.0\n",
      "x922 = 0.0\n",
      "x923 = 0.0\n",
      "x924 = 0.0\n",
      "x925 = 0.0\n",
      "x926 = 0.0\n",
      "x927 = 0.0\n",
      "x928 = 0.0\n",
      "x929 = 0.0\n",
      "x93 = 0.0\n",
      "x930 = 0.0\n",
      "x931 = 0.0\n",
      "x932 = 0.0\n",
      "x933 = 0.0\n",
      "x934 = 0.0\n",
      "x935 = 0.0\n",
      "x936 = 0.0\n",
      "x937 = 0.0\n",
      "x938 = 0.0\n",
      "x939 = 0.0\n",
      "x94 = 0.0\n",
      "x940 = 0.0\n",
      "x941 = 0.0\n",
      "x942 = 0.0\n",
      "x943 = 0.0\n",
      "x944 = 0.0\n",
      "x945 = 0.0\n",
      "x946 = 0.0\n",
      "x947 = 0.0\n",
      "x948 = 0.0\n",
      "x949 = 0.0\n",
      "x95 = 0.0\n",
      "x950 = 0.0\n",
      "x951 = 0.0\n",
      "x952 = 0.0\n",
      "x953 = 0.0\n",
      "x954 = 0.0\n",
      "x955 = 0.0\n",
      "x956 = 0.0\n",
      "x957 = 0.0\n",
      "x958 = 0.0\n",
      "x959 = 0.0\n",
      "x96 = 0.0\n",
      "x960 = 0.0\n",
      "x961 = 0.0\n",
      "x962 = 0.0\n",
      "x963 = 0.0\n",
      "x964 = 0.0\n",
      "x965 = 0.0\n",
      "x966 = 0.0\n",
      "x967 = 0.0\n",
      "x968 = 0.0\n",
      "x969 = 0.0\n",
      "x97 = 0.0\n",
      "x970 = 0.0\n",
      "x971 = 0.0\n",
      "x972 = 0.0\n",
      "x973 = 0.0\n",
      "x974 = 0.0\n",
      "x975 = 0.0\n",
      "x976 = 0.0\n",
      "x977 = 0.0\n",
      "x978 = 0.0\n",
      "x979 = 0.0\n",
      "x98 = 0.0\n",
      "x980 = 0.0\n",
      "x981 = 0.0\n",
      "x982 = 0.0\n",
      "x983 = 0.0\n",
      "x984 = 0.0\n",
      "x985 = 0.0\n",
      "x986 = 0.0\n",
      "x987 = 0.0\n",
      "x988 = 0.0\n",
      "x989 = 0.0\n",
      "x99 = 0.0\n",
      "x990 = 0.0\n",
      "x991 = 0.0\n",
      "x992 = 0.0\n",
      "x993 = 0.0\n",
      "x994 = 0.0\n",
      "x995 = 0.0\n",
      "x996 = 0.0\n",
      "x997 = 0.0\n",
      "x998 = 0.0\n",
      "x999 = 0.0\n"
     ]
    }
   ],
   "source": [
    "optimization_result = prob.solve()\n",
    "\n",
    "assert optimization_result == pulp.LpStatusOptimal\n",
    "print('Status:', pulp.LpStatus[prob.status])\n",
    "print('Optimal Solution to the problem: ', pulp.value(prob.objective))\n",
    "print('Individual decision variables: ')\n",
    "for v in prob.variables():\n",
    "    print(v.name, '=', v.varValue)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
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       "      <td>10 things you didn't know about orgasm</td>\n",
       "      <td>https://www.ted.com/talks/mary_roach_10_things...</td>\n",
       "      <td>22270883</td>\n",
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       "    <tr>\n",
       "      <th>500</th>\n",
       "      <td>1094</td>\n",
       "      <td>Career analyst Dan Pink examines the puzzle of...</td>\n",
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       "      <td>1</td>\n",
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       "      <td>Career analyst</td>\n",
       "      <td>['brain', 'business', 'creativity', 'motivatio...</td>\n",
       "      <td>The puzzle of motivation</td>\n",
       "      <td>https://www.ted.com/talks/dan_pink_on_motivati...</td>\n",
       "      <td>18830983</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>553</th>\n",
       "      <td>1329</td>\n",
       "      <td>At TEDIndia, Pranav Mistry demos several tools...</td>\n",
       "      <td>13.8</td>\n",
       "      <td>TEDIndia 2009</td>\n",
       "      <td>1257379200</td>\n",
       "      <td>42</td>\n",
       "      <td>Pranav Mistry</td>\n",
       "      <td>Pranav Mistry: The thrilling potential of Sixt...</td>\n",
       "      <td>1</td>\n",
       "      <td>1258333200</td>\n",
       "      <td>[{'id': 23, 'name': 'Jaw-dropping', 'count': 8...</td>\n",
       "      <td>[{'id': 481, 'hero': 'https://pe.tedcdn.com/im...</td>\n",
       "      <td>Director of research, Samsung Research America</td>\n",
       "      <td>['demo', 'design', 'open-source', 'technology']</td>\n",
       "      <td>The thrilling potential of SixthSense technology</td>\n",
       "      <td>https://www.ted.com/talks/pranav_mistry_the_th...</td>\n",
       "      <td>16097077</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>588</th>\n",
       "      <td>124</td>\n",
       "      <td>In 2007, Carnegie Mellon professor Randy Pausc...</td>\n",
       "      <td>76.4</td>\n",
       "      <td>Carnegie Mellon University</td>\n",
       "      <td>1190073600</td>\n",
       "      <td>0</td>\n",
       "      <td>Randy Pausch</td>\n",
       "      <td>Randy Pausch: Really achieving your childhood ...</td>\n",
       "      <td>1</td>\n",
       "      <td>1262950320</td>\n",
       "      <td>[{'id': 3, 'name': 'Courageous', 'count': 299}...</td>\n",
       "      <td>[{'id': 229, 'hero': 'https://pe.tedcdn.com/im...</td>\n",
       "      <td>Professor</td>\n",
       "      <td>['culture', 'disease', 'education', 'life', 's...</td>\n",
       "      <td>Really achieving your childhood dreams</td>\n",
       "      <td>https://www.ted.com/talks/randy_pausch_really_...</td>\n",
       "      <td>564781</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>596</th>\n",
       "      <td>296</td>\n",
       "      <td>In this highly personal talk from TEDMED, magi...</td>\n",
       "      <td>20.3</td>\n",
       "      <td>TEDMED 2009</td>\n",
       "      <td>1256601600</td>\n",
       "      <td>34</td>\n",
       "      <td>David Blaine</td>\n",
       "      <td>David Blaine: How I held my breath for 17 minutes</td>\n",
       "      <td>1</td>\n",
       "      <td>1263889320</td>\n",
       "      <td>[{'id': 22, 'name': 'Fascinating', 'count': 91...</td>\n",
       "      <td>[{'id': 310, 'hero': 'https://pe.tedcdn.com/im...</td>\n",
       "      <td>Illusionist, endurance artist</td>\n",
       "      <td>['biology', 'magic', 'medicine', 'performance']</td>\n",
       "      <td>How I held my breath for 17 minutes</td>\n",
       "      <td>https://www.ted.com/talks/david_blaine_how_i_h...</td>\n",
       "      <td>15601385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>629</th>\n",
       "      <td>146</td>\n",
       "      <td>In this archival footage from BBC TV, celebrat...</td>\n",
       "      <td>65.9</td>\n",
       "      <td>BBC TV</td>\n",
       "      <td>426531600</td>\n",
       "      <td>0</td>\n",
       "      <td>Richard Feynman</td>\n",
       "      <td>Richard Feynman: Physics is fun to imagine</td>\n",
       "      <td>1</td>\n",
       "      <td>1267631820</td>\n",
       "      <td>[{'id': 8, 'name': 'Informative', 'count': 324...</td>\n",
       "      <td>[{'id': 194, 'hero': 'https://pe.tedcdn.com/im...</td>\n",
       "      <td>Physicist</td>\n",
       "      <td>['astronomy', 'physics', 'science']</td>\n",
       "      <td>Physics is fun to imagine</td>\n",
       "      <td>https://www.ted.com/talks/richard_feynman\\n</td>\n",
       "      <td>521974</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>640</th>\n",
       "      <td>101</td>\n",
       "      <td>Blind river dolphins, reclusive lemurs, a parr...</td>\n",
       "      <td>87.6</td>\n",
       "      <td>University of California</td>\n",
       "      <td>989971200</td>\n",
       "      <td>0</td>\n",
       "      <td>Douglas Adams</td>\n",
       "      <td>Douglas Adams: Parrots, the universe and every...</td>\n",
       "      <td>1</td>\n",
       "      <td>1268762040</td>\n",
       "      <td>[{'id': 22, 'name': 'Fascinating', 'count': 29...</td>\n",
       "      <td>[{'id': 635, 'hero': 'https://pe.tedcdn.com/im...</td>\n",
       "      <td>Author, satirist</td>\n",
       "      <td>['biodiversity', 'biology', 'comedy', 'humor',...</td>\n",
       "      <td>Parrots, the universe and everything</td>\n",
       "      <td>https://www.ted.com/talks/douglas_adams_parrot...</td>\n",
       "      <td>473220</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>677</th>\n",
       "      <td>1930</td>\n",
       "      <td>Simon Sinek has a simple but powerful model fo...</td>\n",
       "      <td>18.1</td>\n",
       "      <td>TEDxPuget Sound</td>\n",
       "      <td>1253145600</td>\n",
       "      <td>45</td>\n",
       "      <td>Simon Sinek</td>\n",
       "      <td>Simon Sinek: How great leaders inspire action</td>\n",
       "      <td>1</td>\n",
       "      <td>1272965460</td>\n",
       "      <td>[{'id': 21, 'name': 'Unconvincing', 'count': 9...</td>\n",
       "      <td>[{'id': 814, 'hero': 'https://pe.tedcdn.com/im...</td>\n",
       "      <td>Leadership expert</td>\n",
       "      <td>['TEDx', 'business', 'entrepreneur', 'leadersh...</td>\n",
       "      <td>How great leaders inspire action</td>\n",
       "      <td>https://www.ted.com/talks/simon_sinek_how_grea...</td>\n",
       "      <td>34309432</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>837</th>\n",
       "      <td>1927</td>\n",
       "      <td>BrenÃ© Brown studies human connection -- our a...</td>\n",
       "      <td>20.3</td>\n",
       "      <td>TEDxHouston</td>\n",
       "      <td>1275782400</td>\n",
       "      <td>52</td>\n",
       "      <td>BrenÃ© Brown</td>\n",
       "      <td>BrenÃ© Brown: The power of vulnerability</td>\n",
       "      <td>1</td>\n",
       "      <td>1293115500</td>\n",
       "      <td>[{'id': 10, 'name': 'Inspiring', 'count': 2144...</td>\n",
       "      <td>[{'id': 1391, 'hero': 'https://pe.tedcdn.com/i...</td>\n",
       "      <td>Vulnerability researcher</td>\n",
       "      <td>['TEDx', 'communication', 'culture', 'depressi...</td>\n",
       "      <td>The power of vulnerability</td>\n",
       "      <td>https://www.ted.com/talks/brene_brown_on_vulne...</td>\n",
       "      <td>31168150</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1036</th>\n",
       "      <td>561</td>\n",
       "      <td>On any given day we're lied to from 10 to 200 ...</td>\n",
       "      <td>18.8</td>\n",
       "      <td>TEDGlobal 2011</td>\n",
       "      <td>1310515200</td>\n",
       "      <td>39</td>\n",
       "      <td>Pamela Meyer</td>\n",
       "      <td>Pamela Meyer: How to spot a liar</td>\n",
       "      <td>1</td>\n",
       "      <td>1318516493</td>\n",
       "      <td>[{'id': 24, 'name': 'Persuasive', 'count': 131...</td>\n",
       "      <td>[{'id': 16, 'hero': 'https://pe.tedcdn.com/ima...</td>\n",
       "      <td>Lie detector</td>\n",
       "      <td>['culture', 'psychology', 'science', 'society']</td>\n",
       "      <td>How to spot a liar</td>\n",
       "      <td>https://www.ted.com/talks/pamela_meyer_how_to_...</td>\n",
       "      <td>16861578</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1129</th>\n",
       "      <td>754</td>\n",
       "      <td>We believe we should work hard in order to be ...</td>\n",
       "      <td>12.3</td>\n",
       "      <td>TEDxBloomington</td>\n",
       "      <td>1305072000</td>\n",
       "      <td>46</td>\n",
       "      <td>Shawn Achor</td>\n",
       "      <td>Shawn Achor: The happy secret to better work</td>\n",
       "      <td>1</td>\n",
       "      <td>1328112578</td>\n",
       "      <td>[{'id': 10, 'name': 'Inspiring', 'count': 1121...</td>\n",
       "      <td>[{'id': 366, 'hero': 'https://pe.tedcdn.com/im...</td>\n",
       "      <td>Psychologist</td>\n",
       "      <td>['TEDx', 'brain', 'business', 'cognitive scien...</td>\n",
       "      <td>The happy secret to better work</td>\n",
       "      <td>https://www.ted.com/talks/shawn_achor_the_happ...</td>\n",
       "      <td>16209727</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1163</th>\n",
       "      <td>1155</td>\n",
       "      <td>In a culture where being social and outgoing a...</td>\n",
       "      <td>19.1</td>\n",
       "      <td>TED2012</td>\n",
       "      <td>1330387200</td>\n",
       "      <td>44</td>\n",
       "      <td>Susan Cain</td>\n",
       "      <td>Susan Cain: The power of introverts</td>\n",
       "      <td>1</td>\n",
       "      <td>1330720092</td>\n",
       "      <td>[{'id': 24, 'name': 'Persuasive', 'count': 336...</td>\n",
       "      <td>[{'id': 1042, 'hero': 'https://pe.tedcdn.com/i...</td>\n",
       "      <td>Quiet revolutionary</td>\n",
       "      <td>['business', 'culture', 'introvert', 'psycholo...</td>\n",
       "      <td>The power of introverts</td>\n",
       "      <td>https://www.ted.com/talks/susan_cain_the_power...</td>\n",
       "      <td>17629275</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1346</th>\n",
       "      <td>2290</td>\n",
       "      <td>Body language affects how others see us, but i...</td>\n",
       "      <td>21.0</td>\n",
       "      <td>TEDGlobal 2012</td>\n",
       "      <td>1340668800</td>\n",
       "      <td>51</td>\n",
       "      <td>Amy Cuddy</td>\n",
       "      <td>Amy Cuddy: Your body language may shape who yo...</td>\n",
       "      <td>1</td>\n",
       "      <td>1349103608</td>\n",
       "      <td>[{'id': 23, 'name': 'Jaw-dropping', 'count': 3...</td>\n",
       "      <td>[{'id': 605, 'hero': 'https://pe.tedcdn.com/im...</td>\n",
       "      <td>Social psychologist</td>\n",
       "      <td>['body language', 'brain', 'business', 'psycho...</td>\n",
       "      <td>Your body language may shape who you are</td>\n",
       "      <td>https://www.ted.com/talks/amy_cuddy_your_body_...</td>\n",
       "      <td>43155405</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1416</th>\n",
       "      <td>846</td>\n",
       "      <td>Cameron Russell admits she won âa genetic lo...</td>\n",
       "      <td>9.6</td>\n",
       "      <td>TEDxMidAtlantic</td>\n",
       "      <td>1351296000</td>\n",
       "      <td>43</td>\n",
       "      <td>Cameron Russell</td>\n",
       "      <td>Cameron Russell: Looks aren't everything. Beli...</td>\n",
       "      <td>1</td>\n",
       "      <td>1358352354</td>\n",
       "      <td>[{'id': 11, 'name': 'Longwinded', 'count': 92}...</td>\n",
       "      <td>[{'id': 1438, 'hero': 'https://pe.tedcdn.com/i...</td>\n",
       "      <td>Model</td>\n",
       "      <td>['TEDx', 'beauty', 'culture', 'fashion', 'phot...</td>\n",
       "      <td>Looks aren't everything. Believe me, I'm a model.</td>\n",
       "      <td>https://www.ted.com/talks/cameron_russell_look...</td>\n",
       "      <td>19787465</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1572</th>\n",
       "      <td>693</td>\n",
       "      <td>Stress. It makes your heart pound, your breath...</td>\n",
       "      <td>14.5</td>\n",
       "      <td>TEDGlobal 2013</td>\n",
       "      <td>1370908800</td>\n",
       "      <td>47</td>\n",
       "      <td>Kelly McGonigal</td>\n",
       "      <td>Kelly McGonigal: How to make stress your friend</td>\n",
       "      <td>1</td>\n",
       "      <td>1378306783</td>\n",
       "      <td>[{'id': 8, 'name': 'Informative', 'count': 524...</td>\n",
       "      <td>[{'id': 1501, 'hero': 'https://pe.tedcdn.com/i...</td>\n",
       "      <td>Health psychologist</td>\n",
       "      <td>['body language', 'health', 'psychology']</td>\n",
       "      <td>How to make stress your friend</td>\n",
       "      <td>https://www.ted.com/talks/kelly_mcgonigal_how_...</td>\n",
       "      <td>14566463</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1776</th>\n",
       "      <td>297</td>\n",
       "      <td>Have you ever felt like you're talking, but no...</td>\n",
       "      <td>10.0</td>\n",
       "      <td>TEDGlobal 2013</td>\n",
       "      <td>1370822400</td>\n",
       "      <td>45</td>\n",
       "      <td>Julian Treasure</td>\n",
       "      <td>Julian Treasure: How to speak so that people w...</td>\n",
       "      <td>1</td>\n",
       "      <td>1403879897</td>\n",
       "      <td>[{'id': 24, 'name': 'Persuasive', 'count': 267...</td>\n",
       "      <td>[{'id': 1200, 'hero': 'https://pe.tedcdn.com/i...</td>\n",
       "      <td>Sound consultant</td>\n",
       "      <td>['culture', 'sound', 'speech']</td>\n",
       "      <td>How to speak so that people want to listen</td>\n",
       "      <td>https://www.ted.com/talks/julian_treasure_how_...</td>\n",
       "      <td>21594632</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2109</th>\n",
       "      <td>527</td>\n",
       "      <td>What keeps us happy and healthy as we go throu...</td>\n",
       "      <td>12.8</td>\n",
       "      <td>TEDxBeaconStreet</td>\n",
       "      <td>1447459200</td>\n",
       "      <td>43</td>\n",
       "      <td>Robert Waldinger</td>\n",
       "      <td>Robert Waldinger: What makes a good life? Less...</td>\n",
       "      <td>1</td>\n",
       "      <td>1450889841</td>\n",
       "      <td>[{'id': 10, 'name': 'Inspiring', 'count': 8590...</td>\n",
       "      <td>[{'id': 1669, 'hero': 'https://pe.tedcdn.com/i...</td>\n",
       "      <td>Psychiatrist, psychoanalyst and Zen priest</td>\n",
       "      <td>['TEDx', 'aging', 'data', 'friendship', 'happi...</td>\n",
       "      <td>What makes a good life? Lessons from the longe...</td>\n",
       "      <td>https://www.ted.com/talks/robert_waldinger_wha...</td>\n",
       "      <td>16601927</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2114</th>\n",
       "      <td>150</td>\n",
       "      <td>Suspicious emails: unclaimed insurance bonds, ...</td>\n",
       "      <td>9.8</td>\n",
       "      <td>TEDGlobal&gt;Geneva</td>\n",
       "      <td>1449532800</td>\n",
       "      <td>43</td>\n",
       "      <td>James Veitch</td>\n",
       "      <td>James Veitch: This is what happens when you re...</td>\n",
       "      <td>1</td>\n",
       "      <td>1452269020</td>\n",
       "      <td>[{'id': 7, 'name': 'Funny', 'count': 7731}, {'...</td>\n",
       "      <td>[{'id': 2236, 'hero': 'https://pe.tedcdn.com/i...</td>\n",
       "      <td>Comedian and writer</td>\n",
       "      <td>['comedy', 'communication', 'curiosity', 'humo...</td>\n",
       "      <td>This is what happens when you reply to spam email</td>\n",
       "      <td>https://www.ted.com/talks/james_veitch_this_is...</td>\n",
       "      <td>20475972</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2161</th>\n",
       "      <td>310</td>\n",
       "      <td>Tim Urban knows that procrastination doesn't m...</td>\n",
       "      <td>14.0</td>\n",
       "      <td>TED2016</td>\n",
       "      <td>1455580800</td>\n",
       "      <td>40</td>\n",
       "      <td>Tim Urban</td>\n",
       "      <td>Tim Urban: Inside the mind of a master procras...</td>\n",
       "      <td>1</td>\n",
       "      <td>1458067019</td>\n",
       "      <td>[{'id': 3, 'name': 'Courageous', 'count': 1026...</td>\n",
       "      <td>[{'id': 1993, 'hero': 'https://pe.tedcdn.com/i...</td>\n",
       "      <td>Blogger</td>\n",
       "      <td>['Internet', 'brain', 'choice', 'comedy', 'dec...</td>\n",
       "      <td>Inside the mind of a master procrastinator</td>\n",
       "      <td>https://www.ted.com/talks/tim_urban_inside_the...</td>\n",
       "      <td>14745406</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      comments                                        description  duration  \\\n",
       "0         4553  Sir Ken Robinson makes an entertaining and pro...      19.4   \n",
       "4          593  You've never seen data presented like this. Wi...      19.8   \n",
       "5          672  Tony Robbins discusses the \"invisible forces\" ...      21.8   \n",
       "29         970  Dan Gilbert, author of \"Stumbling on Happiness...      21.3   \n",
       "201       2877  Jill Bolte Taylor got a research opportunity f...      18.3   \n",
       "262        669  First, Keith Barry shows us how our brains can...      19.8   \n",
       "452        354  \"Bonk\" author Mary Roach delves into obscure s...      16.7   \n",
       "500       1094  Career analyst Dan Pink examines the puzzle of...      18.6   \n",
       "553       1329  At TEDIndia, Pranav Mistry demos several tools...      13.8   \n",
       "588        124  In 2007, Carnegie Mellon professor Randy Pausc...      76.4   \n",
       "596        296  In this highly personal talk from TEDMED, magi...      20.3   \n",
       "629        146  In this archival footage from BBC TV, celebrat...      65.9   \n",
       "640        101  Blind river dolphins, reclusive lemurs, a parr...      87.6   \n",
       "677       1930  Simon Sinek has a simple but powerful model fo...      18.1   \n",
       "837       1927  BrenÃ© Brown studies human connection -- our a...      20.3   \n",
       "1036       561  On any given day we're lied to from 10 to 200 ...      18.8   \n",
       "1129       754  We believe we should work hard in order to be ...      12.3   \n",
       "1163      1155  In a culture where being social and outgoing a...      19.1   \n",
       "1346      2290  Body language affects how others see us, but i...      21.0   \n",
       "1416       846  Cameron Russell admits she won âa genetic lo...       9.6   \n",
       "1572       693  Stress. It makes your heart pound, your breath...      14.5   \n",
       "1776       297  Have you ever felt like you're talking, but no...      10.0   \n",
       "2109       527  What keeps us happy and healthy as we go throu...      12.8   \n",
       "2114       150  Suspicious emails: unclaimed insurance bonds, ...       9.8   \n",
       "2161       310  Tim Urban knows that procrastination doesn't m...      14.0   \n",
       "\n",
       "                           event   film_date  languages       main_speaker  \\\n",
       "0                        TED2006  1140825600         60       Ken Robinson   \n",
       "4                        TED2006  1140566400         48       Hans Rosling   \n",
       "5                        TED2006  1138838400         36       Tony Robbins   \n",
       "29                       TED2004  1075680000         43        Dan Gilbert   \n",
       "201                      TED2008  1204070400         49  Jill Bolte Taylor   \n",
       "262                      TED2004  1075680000         28        Keith Barry   \n",
       "452                      TED2009  1233878400         37         Mary Roach   \n",
       "500               TEDGlobal 2009  1248393600         44           Dan Pink   \n",
       "553                TEDIndia 2009  1257379200         42      Pranav Mistry   \n",
       "588   Carnegie Mellon University  1190073600          0       Randy Pausch   \n",
       "596                  TEDMED 2009  1256601600         34       David Blaine   \n",
       "629                       BBC TV   426531600          0    Richard Feynman   \n",
       "640     University of California   989971200          0      Douglas Adams   \n",
       "677             TEDxPuget Sound   1253145600         45        Simon Sinek   \n",
       "837                  TEDxHouston  1275782400         52       BrenÃ© Brown   \n",
       "1036              TEDGlobal 2011  1310515200         39       Pamela Meyer   \n",
       "1129             TEDxBloomington  1305072000         46        Shawn Achor   \n",
       "1163                     TED2012  1330387200         44         Susan Cain   \n",
       "1346              TEDGlobal 2012  1340668800         51          Amy Cuddy   \n",
       "1416             TEDxMidAtlantic  1351296000         43    Cameron Russell   \n",
       "1572              TEDGlobal 2013  1370908800         47    Kelly McGonigal   \n",
       "1776              TEDGlobal 2013  1370822400         45    Julian Treasure   \n",
       "2109            TEDxBeaconStreet  1447459200         43   Robert Waldinger   \n",
       "2114            TEDGlobal>Geneva  1449532800         43       James Veitch   \n",
       "2161                     TED2016  1455580800         40          Tim Urban   \n",
       "\n",
       "                                                   name  num_speaker  \\\n",
       "0             Ken Robinson: Do schools kill creativity?            1   \n",
       "4         Hans Rosling: The best stats you've ever seen            1   \n",
       "5                    Tony Robbins: Why we do what we do            1   \n",
       "29     Dan Gilbert: The surprising science of happiness            1   \n",
       "201             Jill Bolte Taylor: My stroke of insight            1   \n",
       "262                            Keith Barry: Brain magic            1   \n",
       "452   Mary Roach: 10 things you didn't know about or...            1   \n",
       "500                  Dan Pink: The puzzle of motivation            1   \n",
       "553   Pranav Mistry: The thrilling potential of Sixt...            1   \n",
       "588   Randy Pausch: Really achieving your childhood ...            1   \n",
       "596   David Blaine: How I held my breath for 17 minutes            1   \n",
       "629          Richard Feynman: Physics is fun to imagine            1   \n",
       "640   Douglas Adams: Parrots, the universe and every...            1   \n",
       "677       Simon Sinek: How great leaders inspire action            1   \n",
       "837            BrenÃ© Brown: The power of vulnerability            1   \n",
       "1036                   Pamela Meyer: How to spot a liar            1   \n",
       "1129       Shawn Achor: The happy secret to better work            1   \n",
       "1163                Susan Cain: The power of introverts            1   \n",
       "1346  Amy Cuddy: Your body language may shape who yo...            1   \n",
       "1416  Cameron Russell: Looks aren't everything. Beli...            1   \n",
       "1572    Kelly McGonigal: How to make stress your friend            1   \n",
       "1776  Julian Treasure: How to speak so that people w...            1   \n",
       "2109  Robert Waldinger: What makes a good life? Less...            1   \n",
       "2114  James Veitch: This is what happens when you re...            1   \n",
       "2161  Tim Urban: Inside the mind of a master procras...            1   \n",
       "\n",
       "      published_date                                            ratings  \\\n",
       "0         1151367060  [{'id': 7, 'name': 'Funny', 'count': 19645}, {...   \n",
       "4         1151440680  [{'id': 9, 'name': 'Ingenious', 'count': 3202}...   \n",
       "5         1151440680  [{'id': 7, 'name': 'Funny', 'count': 1102}, {'...   \n",
       "29        1159229460  [{'id': 7, 'name': 'Funny', 'count': 1728}, {'...   \n",
       "201       1205284200  [{'id': 22, 'name': 'Fascinating', 'count': 14...   \n",
       "262       1216366800  [{'id': 2, 'name': 'Confusing', 'count': 273},...   \n",
       "452       1242781200  [{'id': 23, 'name': 'Jaw-dropping', 'count': 3...   \n",
       "500       1251075600  [{'id': 22, 'name': 'Fascinating', 'count': 38...   \n",
       "553       1258333200  [{'id': 23, 'name': 'Jaw-dropping', 'count': 8...   \n",
       "588       1262950320  [{'id': 3, 'name': 'Courageous', 'count': 299}...   \n",
       "596       1263889320  [{'id': 22, 'name': 'Fascinating', 'count': 91...   \n",
       "629       1267631820  [{'id': 8, 'name': 'Informative', 'count': 324...   \n",
       "640       1268762040  [{'id': 22, 'name': 'Fascinating', 'count': 29...   \n",
       "677       1272965460  [{'id': 21, 'name': 'Unconvincing', 'count': 9...   \n",
       "837       1293115500  [{'id': 10, 'name': 'Inspiring', 'count': 2144...   \n",
       "1036      1318516493  [{'id': 24, 'name': 'Persuasive', 'count': 131...   \n",
       "1129      1328112578  [{'id': 10, 'name': 'Inspiring', 'count': 1121...   \n",
       "1163      1330720092  [{'id': 24, 'name': 'Persuasive', 'count': 336...   \n",
       "1346      1349103608  [{'id': 23, 'name': 'Jaw-dropping', 'count': 3...   \n",
       "1416      1358352354  [{'id': 11, 'name': 'Longwinded', 'count': 92}...   \n",
       "1572      1378306783  [{'id': 8, 'name': 'Informative', 'count': 524...   \n",
       "1776      1403879897  [{'id': 24, 'name': 'Persuasive', 'count': 267...   \n",
       "2109      1450889841  [{'id': 10, 'name': 'Inspiring', 'count': 8590...   \n",
       "2114      1452269020  [{'id': 7, 'name': 'Funny', 'count': 7731}, {'...   \n",
       "2161      1458067019  [{'id': 3, 'name': 'Courageous', 'count': 1026...   \n",
       "\n",
       "                                          related_talks  \\\n",
       "0     [{'id': 865, 'hero': 'https://pe.tedcdn.com/im...   \n",
       "4     [{'id': 2056, 'hero': 'https://pe.tedcdn.com/i...   \n",
       "5     [{'id': 229, 'hero': 'https://pe.tedcdn.com/im...   \n",
       "29    [{'id': 944, 'hero': 'https://pe.tedcdn.com/im...   \n",
       "201   [{'id': 184, 'hero': 'https://pe.tedcdn.com/im...   \n",
       "262   [{'id': 1821, 'hero': 'https://pe.tedcdn.com/i...   \n",
       "452   [{'id': 16, 'hero': 'https://pe.tedcdn.com/ima...   \n",
       "500   [{'id': 548, 'hero': 'https://pe.tedcdn.com/im...   \n",
       "553   [{'id': 481, 'hero': 'https://pe.tedcdn.com/im...   \n",
       "588   [{'id': 229, 'hero': 'https://pe.tedcdn.com/im...   \n",
       "596   [{'id': 310, 'hero': 'https://pe.tedcdn.com/im...   \n",
       "629   [{'id': 194, 'hero': 'https://pe.tedcdn.com/im...   \n",
       "640   [{'id': 635, 'hero': 'https://pe.tedcdn.com/im...   \n",
       "677   [{'id': 814, 'hero': 'https://pe.tedcdn.com/im...   \n",
       "837   [{'id': 1391, 'hero': 'https://pe.tedcdn.com/i...   \n",
       "1036  [{'id': 16, 'hero': 'https://pe.tedcdn.com/ima...   \n",
       "1129  [{'id': 366, 'hero': 'https://pe.tedcdn.com/im...   \n",
       "1163  [{'id': 1042, 'hero': 'https://pe.tedcdn.com/i...   \n",
       "1346  [{'id': 605, 'hero': 'https://pe.tedcdn.com/im...   \n",
       "1416  [{'id': 1438, 'hero': 'https://pe.tedcdn.com/i...   \n",
       "1572  [{'id': 1501, 'hero': 'https://pe.tedcdn.com/i...   \n",
       "1776  [{'id': 1200, 'hero': 'https://pe.tedcdn.com/i...   \n",
       "2109  [{'id': 1669, 'hero': 'https://pe.tedcdn.com/i...   \n",
       "2114  [{'id': 2236, 'hero': 'https://pe.tedcdn.com/i...   \n",
       "2161  [{'id': 1993, 'hero': 'https://pe.tedcdn.com/i...   \n",
       "\n",
       "                                  speaker_occupation  \\\n",
       "0                                    Author/educator   \n",
       "4               Global health expert; data visionary   \n",
       "5        Life coach; expert in leadership psychology   \n",
       "29                    Psychologist; happiness expert   \n",
       "201                                   Neuroanatomist   \n",
       "262                                         Magician   \n",
       "452                                           Writer   \n",
       "500                                   Career analyst   \n",
       "553   Director of research, Samsung Research America   \n",
       "588                                        Professor   \n",
       "596                    Illusionist, endurance artist   \n",
       "629                                        Physicist   \n",
       "640                                 Author, satirist   \n",
       "677                                Leadership expert   \n",
       "837                         Vulnerability researcher   \n",
       "1036                                    Lie detector   \n",
       "1129                                    Psychologist   \n",
       "1163                             Quiet revolutionary   \n",
       "1346                             Social psychologist   \n",
       "1416                                           Model   \n",
       "1572                             Health psychologist   \n",
       "1776                                Sound consultant   \n",
       "2109      Psychiatrist, psychoanalyst and Zen priest   \n",
       "2114                             Comedian and writer   \n",
       "2161                                         Blogger   \n",
       "\n",
       "                                                   tags  \\\n",
       "0     ['children', 'creativity', 'culture', 'dance',...   \n",
       "4     ['Africa', 'Asia', 'Google', 'demo', 'economic...   \n",
       "5     ['business', 'culture', 'entertainment', 'goal...   \n",
       "29    ['TED Brain Trust', 'brain', 'choice', 'cultur...   \n",
       "201   ['biology', 'brain', 'consciousness', 'global ...   \n",
       "262     ['brain', 'entertainment', 'illusion', 'magic']   \n",
       "452   ['books', 'culture', 'history', 'humor', 'scie...   \n",
       "500   ['brain', 'business', 'creativity', 'motivatio...   \n",
       "553     ['demo', 'design', 'open-source', 'technology']   \n",
       "588   ['culture', 'disease', 'education', 'life', 's...   \n",
       "596     ['biology', 'magic', 'medicine', 'performance']   \n",
       "629                 ['astronomy', 'physics', 'science']   \n",
       "640   ['biodiversity', 'biology', 'comedy', 'humor',...   \n",
       "677   ['TEDx', 'business', 'entrepreneur', 'leadersh...   \n",
       "837   ['TEDx', 'communication', 'culture', 'depressi...   \n",
       "1036    ['culture', 'psychology', 'science', 'society']   \n",
       "1129  ['TEDx', 'brain', 'business', 'cognitive scien...   \n",
       "1163  ['business', 'culture', 'introvert', 'psycholo...   \n",
       "1346  ['body language', 'brain', 'business', 'psycho...   \n",
       "1416  ['TEDx', 'beauty', 'culture', 'fashion', 'phot...   \n",
       "1572          ['body language', 'health', 'psychology']   \n",
       "1776                     ['culture', 'sound', 'speech']   \n",
       "2109  ['TEDx', 'aging', 'data', 'friendship', 'happi...   \n",
       "2114  ['comedy', 'communication', 'curiosity', 'humo...   \n",
       "2161  ['Internet', 'brain', 'choice', 'comedy', 'dec...   \n",
       "\n",
       "                                                  title  \\\n",
       "0                           Do schools kill creativity?   \n",
       "4                       The best stats you've ever seen   \n",
       "5                                  Why we do what we do   \n",
       "29                  The surprising science of happiness   \n",
       "201                                My stroke of insight   \n",
       "262                                         Brain magic   \n",
       "452              10 things you didn't know about orgasm   \n",
       "500                            The puzzle of motivation   \n",
       "553    The thrilling potential of SixthSense technology   \n",
       "588              Really achieving your childhood dreams   \n",
       "596                 How I held my breath for 17 minutes   \n",
       "629                           Physics is fun to imagine   \n",
       "640                Parrots, the universe and everything   \n",
       "677                    How great leaders inspire action   \n",
       "837                          The power of vulnerability   \n",
       "1036                                 How to spot a liar   \n",
       "1129                    The happy secret to better work   \n",
       "1163                            The power of introverts   \n",
       "1346           Your body language may shape who you are   \n",
       "1416  Looks aren't everything. Believe me, I'm a model.   \n",
       "1572                     How to make stress your friend   \n",
       "1776         How to speak so that people want to listen   \n",
       "2109  What makes a good life? Lessons from the longe...   \n",
       "2114  This is what happens when you reply to spam email   \n",
       "2161         Inside the mind of a master procrastinator   \n",
       "\n",
       "                                                    url     views  \n",
       "0     https://www.ted.com/talks/ken_robinson_says_sc...  47227110  \n",
       "4     https://www.ted.com/talks/hans_rosling_shows_t...  12005869  \n",
       "5     https://www.ted.com/talks/tony_robbins_asks_wh...  20685401  \n",
       "29    https://www.ted.com/talks/dan_gilbert_asks_why...  14689301  \n",
       "201   https://www.ted.com/talks/jill_bolte_taylor_s_...  21190883  \n",
       "262   https://www.ted.com/talks/keith_barry_does_bra...  13327101  \n",
       "452   https://www.ted.com/talks/mary_roach_10_things...  22270883  \n",
       "500   https://www.ted.com/talks/dan_pink_on_motivati...  18830983  \n",
       "553   https://www.ted.com/talks/pranav_mistry_the_th...  16097077  \n",
       "588   https://www.ted.com/talks/randy_pausch_really_...    564781  \n",
       "596   https://www.ted.com/talks/david_blaine_how_i_h...  15601385  \n",
       "629         https://www.ted.com/talks/richard_feynman\\n    521974  \n",
       "640   https://www.ted.com/talks/douglas_adams_parrot...    473220  \n",
       "677   https://www.ted.com/talks/simon_sinek_how_grea...  34309432  \n",
       "837   https://www.ted.com/talks/brene_brown_on_vulne...  31168150  \n",
       "1036  https://www.ted.com/talks/pamela_meyer_how_to_...  16861578  \n",
       "1129  https://www.ted.com/talks/shawn_achor_the_happ...  16209727  \n",
       "1163  https://www.ted.com/talks/susan_cain_the_power...  17629275  \n",
       "1346  https://www.ted.com/talks/amy_cuddy_your_body_...  43155405  \n",
       "1416  https://www.ted.com/talks/cameron_russell_look...  19787465  \n",
       "1572  https://www.ted.com/talks/kelly_mcgonigal_how_...  14566463  \n",
       "1776  https://www.ted.com/talks/julian_treasure_how_...  21594632  \n",
       "2109  https://www.ted.com/talks/robert_waldinger_wha...  16601927  \n",
       "2114  https://www.ted.com/talks/james_veitch_this_is...  20475972  \n",
       "2161  https://www.ted.com/talks/tim_urban_inside_the...  14745406  "
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# reorder results\n",
    "#variable_name = []\n",
    "#variable_value = []\n",
    "indexes_to_keep = []\n",
    "\n",
    "#talks_to_watch_df\n",
    "for v in prob.variables():\n",
    "    #variable_name.append(v.name)\n",
    "    #variable_value.append(v.varValue)\n",
    "    if v.varValue == 1:\n",
    "        indexes_to_keep.append(int(v.name[1:]))\n",
    "    \n",
    "should_watch_df = ted_df[ted_df.index.isin(indexes_to_keep)]\n",
    "should_watch_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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