Integrity-Constraint-Repair-for-Databases.ipynb

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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Imports"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from PW_explorer.run_clingo import run_clingo\n",
    "from PW_explorer.load_worlds import load_worlds\n",
    "from PW_explorer.pwe_query import PWEQuery\n",
    "from PW_explorer.pwe_nb_helper import ASPRules\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
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       "IPython.CodeCell.options_default.highlight_modes['prolog'] = {'reg':[/^%%(clingo|dlv)/]};"
      ]
     },
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    }
   ],
   "source": [
    "%load_ext PWE_NB_Extension"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# User Defined Custom Visualization Function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# https://matplotlib.org/gallery/lines_bars_and_markers/timeline.html\n",
    "from datetime import datetime as datetime\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.dates as mdates\n",
    "def artwork_viz_combined(artwork_df, artist_df, pw_id, start='1825', end='2030'):\n",
    "    \n",
    "    artwork_df = artwork_df[artwork_df['pw'] == pw_id]\n",
    "    artist_df = artist_df[artist_df['pw'] == pw_id]\n",
    "    artist_color_map = {}\n",
    "    artist_date_tuples = {}\n",
    "    artist_artworks = {}\n",
    "    for i, row in artist_df.iterrows():\n",
    "        artist_color_map[row['NAME']] = np.random.rand(3,)\n",
    "        artist_date_tuples[row['NAME']] = (row['BIRTHDATE'], row['DEATHDATE'])\n",
    "    for i, row in artwork_df.iterrows():\n",
    "        artist_name = row['ARTIST']\n",
    "        if artist_name not in artist_artworks:\n",
    "            artist_artworks[artist_name] = []\n",
    "        artist_artworks[artist_name].append((row['TITLE'], row['YEAR_PAINTED']))\n",
    "    \n",
    "    tags = ['Today']\n",
    "    dates = ['2019']\n",
    "    colors = ['g']\n",
    "    fig, ax = plt.subplots(figsize=(30, 10))\n",
    "    levels = np.array([-5, 5, -3, 3, -1, 1])\n",
    "    for artist in artist_color_map.keys():\n",
    "\n",
    "        birth = artist_date_tuples[artist][0]\n",
    "        if birth == '-1' or birth == '0':\n",
    "            birth = '1800'\n",
    "            #tags.append('Birth Not Known')\n",
    "        else:\n",
    "            tags.append(\"{}'s Birth\".format(artist))\n",
    "            dates.append(birth)\n",
    "            colors.append('r')\n",
    "            \n",
    "        death = artist_date_tuples[artist][1]\n",
    "        if death == '-1' or death == '0':\n",
    "            death = '2019'\n",
    "            #tags.append('Today')\n",
    "        else:\n",
    "            tags.append(\"{}'s Death\".format(artist))\n",
    "            dates.append(death)\n",
    "            colors.append('r')\n",
    "        \n",
    "        if artist in artist_artworks:\n",
    "            for artwork, date in artist_artworks[artist]:\n",
    "                \n",
    "                if date != '-1':\n",
    "                    dates.append(date)\n",
    "                    tags.append(\"{}'s {}\".format(artist,artwork))\n",
    "                    colors.append('b')\n",
    "        #print(dates)\n",
    "    \n",
    "    dates = list(map(lambda date: datetime.strptime(date, '%Y'), dates))\n",
    "    start = min(min(dates), datetime.strptime(start, '%Y'))\n",
    "    stop = max(max(dates), datetime.strptime(end, '%Y'))\n",
    "    ax.plot((start, stop), (0, 0), 'k', alpha=.5)\n",
    "\n",
    "    for ii, (iname, idate, color) in enumerate(sorted(zip(tags, dates, colors), key=lambda x: x[1])):\n",
    "        level = levels[ii % 6]\n",
    "        vert = 'top' if level < 0 else 'bottom'\n",
    "\n",
    "        ax.scatter(idate, 0, s=100, facecolor='w', edgecolor='k', zorder=9999)\n",
    "        # Plot a line up to the text\n",
    "        ax.plot((idate, idate), (0, level), c=color, alpha=.7, linewidth=7)\n",
    "        # Give the text a faint background and align it properly\n",
    "        ax.text(idate, level, iname,\n",
    "                horizontalalignment='right', verticalalignment=vert, fontsize=20,\n",
    "                backgroundcolor=(1., 1., 1., .3))\n",
    "    ax.set(title=\"Timeline for PW-{}\".format(pw_id))\n",
    "    # Set the xticks formatting\n",
    "    # format xaxis with 3 month intervals\n",
    "    ax.get_xaxis().set_major_locator(mdates.MonthLocator(interval=120))\n",
    "    ax.get_xaxis().set_major_formatter(mdates.DateFormatter(\"%Y\"))\n",
    "    fig.autofmt_xdate()\n",
    "\n",
    "    # Remove components for a cleaner look\n",
    "    plt.setp((ax.get_yticklabels() + ax.get_yticklines() +\n",
    "              list(ax.spines.values())), visible=False)\n",
    "    #plt.show()\n",
    "    return fig, ax\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Initial Analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### We first take a look at the original dataset (before data cleaning). We store these rules in the 'clingo_rules' variable as a list of strings"
   ]
  },
  {
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   "execution_count": 4,
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       "<div class=\"highlight\"><pre><span></span><span class=\"lineno\"> 1 </span><span class=\"c1\">% schema artist(NAME, ID, BIRTHDATE, DEATHDATE)</span>\n",
       "<span class=\"lineno\"> 2 </span><span class=\"nf\">artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">pablo_picasso</span><span class=\"p\">,</span> <span class=\"mi\">4609</span><span class=\"p\">,</span> <span class=\"mi\">1881</span><span class=\"p\">,</span> <span class=\"mi\">1973</span><span class=\"p\">).</span>\n",
       "<span class=\"lineno\"> 3 </span><span class=\"nf\">artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">artko</span><span class=\"p\">,</span> <span class=\"mi\">18</span><span class=\"p\">,</span> <span class=\"mi\">0</span><span class=\"p\">,</span> <span class=\"mi\">0</span><span class=\"p\">).</span>\n",
       "<span class=\"lineno\"> 4 </span><span class=\"nf\">artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span> <span class=\"mi\">3315</span><span class=\"p\">,</span> <span class=\"mi\">1929</span><span class=\"p\">,</span> <span class=\"mi\">0</span><span class=\"p\">).</span>\n",
       "<span class=\"lineno\"> 5 </span><span class=\"nf\">artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">picasso</span><span class=\"p\">,</span> <span class=\"mi\">4609</span><span class=\"p\">,</span> <span class=\"mi\">1881</span><span class=\"p\">,</span> <span class=\"mi\">1912</span><span class=\"p\">).</span>\n",
       "<span class=\"lineno\"> 6 </span><span class=\"nf\">artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">kusama</span><span class=\"p\">,</span> <span class=\"mi\">3315</span><span class=\"p\">,</span> <span class=\"mi\">1829</span><span class=\"p\">,</span> <span class=\"mi\">1929</span><span class=\"p\">).</span>\n",
       "<span class=\"lineno\"> 7 </span>\n",
       "<span class=\"lineno\"> 8 </span><span class=\"c1\">% schema artwork(TITLE, ARTIST, ARTIST_ID, YEAR_PAINTED)</span>\n",
       "<span class=\"lineno\"> 9 </span><span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">seated_woman</span><span class=\"p\">,</span> <span class=\"s s-Atom\">pablo_picasso</span><span class=\"p\">,</span> <span class=\"mi\">4609</span><span class=\"p\">,</span> <span class=\"mi\">1934</span><span class=\"p\">).</span>\n",
       "<span class=\"lineno\">10 </span><span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">war_and_peace</span><span class=\"p\">,</span> <span class=\"s s-Atom\">picasso</span><span class=\"p\">,</span> <span class=\"mi\">4609</span><span class=\"p\">,</span> <span class=\"mi\">1955</span><span class=\"p\">).</span>\n",
       "<span class=\"lineno\">11 </span><span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">flower</span><span class=\"p\">,</span> <span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span> <span class=\"mi\">3315</span><span class=\"p\">,</span> <span class=\"mi\">1953</span><span class=\"p\">).</span>\n",
       "<span class=\"lineno\">12 </span><span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">endless</span><span class=\"p\">,</span> <span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span> <span class=\"mi\">3315</span><span class=\"p\">,</span> <span class=\"mi\">1984</span><span class=\"p\">).</span>\n",
       "<span class=\"lineno\">13 </span><span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">accumulation</span><span class=\"p\">,</span> <span class=\"s s-Atom\">kusama</span><span class=\"p\">,</span> <span class=\"mi\">3315</span><span class=\"p\">,</span> <span class=\"mi\">2027</span><span class=\"p\">).</span>\n",
       "<span class=\"lineno\">14 </span><span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">war</span><span class=\"p\">,</span> <span class=\"s s-Atom\">picasso</span><span class=\"p\">,</span> <span class=\"mi\">4609</span><span class=\"p\">,</span> <span class=\"mi\">1988</span><span class=\"p\">).</span>\n",
       "<span class=\"lineno\">15 </span><span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">acapulco_gold</span><span class=\"p\">,</span> <span class=\"s s-Atom\">artko</span><span class=\"p\">,</span> <span class=\"mi\">18</span><span class=\"p\">,</span> <span class=\"mi\">1967</span><span class=\"p\">).</span>\n",
       "<span class=\"lineno\">16 </span><span class=\"c1\">%artwork(some_picasso_painting, pablo_picasso, 4609, 1911).</span>\n",
       "<span class=\"lineno\">17 </span><span class=\"c1\">%artwork(made_up_name, artko, 18, 1855).</span>\n",
       "</pre></div>\n"
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       "'% schema artist(NAME, ID, BIRTHDATE, DEATHDATE)\\nartist(pablo_picasso, 4609, 1881, 1973).\\nartist(artko, 18, 0, 0).\\nartist(yayoi_kusama, 3315, 1929, 0).\\nartist(picasso, 4609, 1881, 1912).\\nartist(kusama, 3315, 1829, 1929).\\n\\n% schema artwork(TITLE, ARTIST, ARTIST_ID, YEAR_PAINTED)\\nartwork(seated_woman, pablo_picasso, 4609, 1934).\\nartwork(war_and_peace, picasso, 4609, 1955).\\nartwork(flower, yayoi_kusama, 3315, 1953).\\nartwork(endless, yayoi_kusama, 3315, 1984).\\nartwork(accumulation, kusama, 3315, 2027).\\nartwork(war, picasso, 4609, 1988).\\nartwork(acapulco_gold, artko, 18, 1967).\\n%artwork(some_picasso_painting, pablo_picasso, 4609, 1911).\\n%artwork(made_up_name, artko, 18, 1855).'"
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   "source": [
    "moma_dataset = ASPRules('clingo_files/moma_dataset.lp4')\n",
    "moma_dataset"
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   "source": [
    "#### Using the run_clingo function, which runs the clingo solver (and also detects the custom %define syntax as can be seen in the clingo program above.), we get 1 PW (as expected since we don't have any constraints yet)."
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       "<div class=\"highlight\"><pre><span></span><span class=\"lineno\">1 </span><span class=\"nv\">Answer</span><span class=\"s s-Atom\">:</span> <span class=\"mi\">1</span>\n",
       "<span class=\"lineno\">2 </span><span class=\"nf\">artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">pablo_picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1973</span><span class=\"p\">)</span> <span class=\"nf\">artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">artko</span><span class=\"p\">,</span><span class=\"mi\">18</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">)</span> <span class=\"nf\">artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">)</span> <span class=\"nf\">artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1912</span><span class=\"p\">)</span> <span class=\"nf\">artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1829</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">seated_woman</span><span class=\"p\">,</span><span class=\"s s-Atom\">pablo_picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1934</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">war_and_peace</span><span class=\"p\">,</span><span class=\"s s-Atom\">picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1955</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">flower</span><span class=\"p\">,</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1953</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">endless</span><span class=\"p\">,</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1984</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">accumulation</span><span class=\"p\">,</span><span class=\"s s-Atom\">kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">2027</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">war</span><span class=\"p\">,</span><span class=\"s s-Atom\">picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1988</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">acapulco_gold</span><span class=\"p\">,</span><span class=\"s s-Atom\">artko</span><span class=\"p\">,</span><span class=\"mi\">18</span><span class=\"p\">,</span><span class=\"mi\">1967</span><span class=\"p\">)</span>\n",
       "<span class=\"lineno\">3 </span><span class=\"nv\">SATISFIABLE</span>\n",
       "<span class=\"lineno\">4 </span>\n",
       "<span class=\"lineno\">5 </span><span class=\"nv\">Models</span>       <span class=\"s s-Atom\">:</span> <span class=\"mi\">1</span>\n",
       "<span class=\"lineno\">6 </span><span class=\"nv\">Calls</span>        <span class=\"s s-Atom\">:</span> <span class=\"mi\">1</span>\n",
       "<span class=\"lineno\">7 </span><span class=\"nv\">Time</span>         <span class=\"s s-Atom\">:</span> <span class=\"mf\">0.001</span><span class=\"nf\">s</span> <span class=\"p\">(</span><span class=\"nv\">Solving</span><span class=\"s s-Atom\">:</span> <span class=\"mf\">0.00</span><span class=\"s s-Atom\">s</span> <span class=\"mi\">1</span><span class=\"s s-Atom\">st</span> <span class=\"nv\">Model</span><span class=\"s s-Atom\">:</span> <span class=\"mf\">0.00</span><span class=\"s s-Atom\">s</span> <span class=\"nv\">Unsat</span><span class=\"s s-Atom\">:</span> <span class=\"mf\">0.00</span><span class=\"s s-Atom\">s</span><span class=\"p\">)</span>\n",
       "<span class=\"lineno\">8 </span><span class=\"nv\">CPU</span> <span class=\"nv\">Time</span>     <span class=\"s s-Atom\">:</span> <span class=\"mf\">0.001</span><span class=\"s s-Atom\">s</span>\n",
       "</pre></div>\n"
      ],
      "text/plain": [
       "'Answer: 1\\nartist(pablo_picasso,4609,1881,1973) artist(artko,18,0,0) artist(yayoi_kusama,3315,1929,0) artist(picasso,4609,1881,1912) artist(kusama,3315,1829,1929) artwork(seated_woman,pablo_picasso,4609,1934) artwork(war_and_peace,picasso,4609,1955) artwork(flower,yayoi_kusama,3315,1953) artwork(endless,yayoi_kusama,3315,1984) artwork(accumulation,kusama,3315,2027) artwork(war,picasso,4609,1988) artwork(acapulco_gold,artko,18,1967)\\nSATISFIABLE\\n\\nModels       : 1\\nCalls        : 1\\nTime         : 0.001s (Solving: 0.00s 1st Model: 0.00s Unsat: 0.00s)\\nCPU Time     : 0.001s'"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "clingo_soln, meta_data = run_clingo(clingo_rules=moma_dataset.splitlines())\n",
    "ASPRules('\\n'.join(clingo_soln))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### The meta_data is helpful to name the columns of the Pandas Dataframes that we will create when parsing the solution and other custom syntax that PWE detects."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'temporal_dec': {},\n",
       " 'attr_def': {'artist_4': ['NAME', 'ID', 'BIRTHDATE', 'DEATHDATE'],\n",
       "  'artwork_4': ['TITLE', 'ARTIST', 'ARTIST_ID', 'YEAR_PAINTED']},\n",
       " 'graphviz': {'graph': {'graph_type': 'undirected', 'styles': []},\n",
       "  'node': {},\n",
       "  'edge': {}}}"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "meta_data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### From the solution of the above program, we extract the solutions and load the PWs into RDBMS-style Panda Dataframes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of Models: 1\n"
     ]
    }
   ],
   "source": [
    "pw_rel_dfs, rel_schemas, pw_objs = load_worlds(asp_output=clingo_soln, meta_data=meta_data, reasoner='clingo')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[{'relation_name': 'artist_4',\n",
       "  'arity': 4,\n",
       "  'r_id': 0,\n",
       "  'meta_data': {'attr_def': ['NAME', 'ID', 'BIRTHDATE', 'DEATHDATE']}},\n",
       " {'relation_name': 'artwork_4',\n",
       "  'arity': 4,\n",
       "  'r_id': 1,\n",
       "  'meta_data': {'attr_def': ['TITLE', 'ARTIST', 'ARTIST_ID', 'YEAR_PAINTED']}}]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list(map(lambda x: x.__dict__, rel_schemas))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### These are the atom types that were detected. They are stored as \"atomName_arity\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dict_keys(['artist_4', 'artwork_4'])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pw_rel_dfs.keys()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is what the Pandas Dataframe for the 'new_artist' relation (with arity 4) looks like."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>pw</th>\n",
       "      <th>NAME</th>\n",
       "      <th>ID</th>\n",
       "      <th>BIRTHDATE</th>\n",
       "      <th>DEATHDATE</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>pablo_picasso</td>\n",
       "      <td>4609</td>\n",
       "      <td>1881</td>\n",
       "      <td>1973</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>artko</td>\n",
       "      <td>18</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>yayoi_kusama</td>\n",
       "      <td>3315</td>\n",
       "      <td>1929</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>picasso</td>\n",
       "      <td>4609</td>\n",
       "      <td>1881</td>\n",
       "      <td>1912</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>kusama</td>\n",
       "      <td>3315</td>\n",
       "      <td>1829</td>\n",
       "      <td>1929</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   pw           NAME    ID BIRTHDATE DEATHDATE\n",
       "0   1  pablo_picasso  4609      1881      1973\n",
       "1   1          artko    18         0         0\n",
       "2   1   yayoi_kusama  3315      1929         0\n",
       "3   1        picasso  4609      1881      1912\n",
       "4   1         kusama  3315      1829      1929"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pw_rel_dfs['artist_4']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Likewise for the relation 'new_artwork'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>pw</th>\n",
       "      <th>TITLE</th>\n",
       "      <th>ARTIST</th>\n",
       "      <th>ARTIST_ID</th>\n",
       "      <th>YEAR_PAINTED</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>seated_woman</td>\n",
       "      <td>pablo_picasso</td>\n",
       "      <td>4609</td>\n",
       "      <td>1934</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>war_and_peace</td>\n",
       "      <td>picasso</td>\n",
       "      <td>4609</td>\n",
       "      <td>1955</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>flower</td>\n",
       "      <td>yayoi_kusama</td>\n",
       "      <td>3315</td>\n",
       "      <td>1953</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>endless</td>\n",
       "      <td>yayoi_kusama</td>\n",
       "      <td>3315</td>\n",
       "      <td>1984</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>accumulation</td>\n",
       "      <td>kusama</td>\n",
       "      <td>3315</td>\n",
       "      <td>2027</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1</td>\n",
       "      <td>war</td>\n",
       "      <td>picasso</td>\n",
       "      <td>4609</td>\n",
       "      <td>1988</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>1</td>\n",
       "      <td>acapulco_gold</td>\n",
       "      <td>artko</td>\n",
       "      <td>18</td>\n",
       "      <td>1967</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   pw          TITLE         ARTIST ARTIST_ID YEAR_PAINTED\n",
       "0   1   seated_woman  pablo_picasso      4609         1934\n",
       "1   1  war_and_peace        picasso      4609         1955\n",
       "2   1         flower   yayoi_kusama      3315         1953\n",
       "3   1        endless   yayoi_kusama      3315         1984\n",
       "4   1   accumulation         kusama      3315         2027\n",
       "5   1            war        picasso      4609         1988\n",
       "6   1  acapulco_gold          artko        18         1967"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pw_rel_dfs['artwork_4']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### We can now visualize this PW using the custom visualization function defined above."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/anaconda3/envs/LeanEuler-prod-env/lib/python3.6/site-packages/pandas/plotting/_converter.py:129: FutureWarning: Using an implicitly registered datetime converter for a matplotlib plotting method. The converter was registered by pandas on import. Future versions of pandas will require you to explicitly register matplotlib converters.\n",
      "\n",
      "To register the converters:\n",
      "\t>>> from pandas.plotting import register_matplotlib_converters\n",
      "\t>>> register_matplotlib_converters()\n",
      "  warnings.warn(msg, FutureWarning)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 2160x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = artwork_viz_combined(pw_rel_dfs['artwork_4'], pw_rel_dfs['artist_4'], 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And save them in various formats."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# for ftype in ['pdf', 'svg']:\n",
    "#     fig.savefig(fname='Timeline Visualizations/input.{}'.format(ftype), format=ftype, dpi=1200)\n",
    "# fig.savefig(fname='Timeline Visualizations/input.{}'.format('png'), format='png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### As is evident above, there are a lot of inconsistencies here. For example, there are multiple instances of Picasso and other artists, some artworks are dated in the future, some are dated outside the lifetime of their artist, etc. We must add integrity constraints to detect these, and if possible, fix them."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Adding the integrity constraints to the ASP"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We add these integrity constraints and repair rules."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "%asp_loadfiles clingo_files/artwork_db_repair_rules.lp4 -r clingo"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "%%clingo --donot-run -lci repair_rules --donot-display_input\n",
    "\n",
    "#const current_year=2019.\n",
    "\n",
    "% Integrity Constraint Violation for ARTIST_ID (denial):\n",
    "icv_PK(ID, NAME1, NAME2, X1, Y1, X2, Y2) :- artist(NAME1, ID, X1, Y1), artist(NAME2, ID, X2, Y2), NAME1 != NAME2.\n",
    "\n",
    "% Make sure there's exactly one record per ARTIST_ID\n",
    "del_artist(NAME1, ID, X1, Y1) ; del_artist(NAME2,ID, X2,Y2) :- icv_PK(ID,NAME1, NAME2, X1, Y1, X2, Y2).\n",
    "\n",
    "% Artist DB Repair\n",
    "% schema new_artist(NAME, ID, BIRTHDATE, DEATHDATE)\n",
    "new_artist(NAME,ID,BD,DD) :- artist(NAME,ID,BD,DD), not del_artist(NAME, ID, BD,DD).\n",
    "\n",
    "% Keep atleast one artist entry per ID\n",
    ":- artist(_, ID, _, _), not new_artist(_, ID, _, _).\n",
    "\n",
    "% Integrity Constraint Violation: ARTIST_NAME or ARTIST_ID mismatch in the artworks record.\n",
    "% schema icv_FK(TITLE, ARTIST_ID)\n",
    "icv_FK(TITLE, ARTIST_ID) :- artwork(TITLE, ARTIST, ARTIST_ID, YEAR_PAINTED), not new_artist(ARTIST, ARTIST_ID, _, _).\n",
    "\n",
    "% Adding Date Integrity Constraint Violation Checks: Artwork Date not within Artist's Lifetime\n",
    "% schema icv_DATE(TITLE)\n",
    "icv_DATE(TITLE) :- artwork(TITLE, ARTIST, ARTIST_ID, YEAR), new_artist(NAME, ARTIST_ID, BIRTHDATE, DEATHDATE), YEAR > DEATHDATE, DEATHDATE != 0, DEATHDATE != -1.\n",
    "icv_DATE(TITLE) :- artwork(TITLE, ARTIST, ARTIST_ID, YEAR), new_artist(NAME, ARTIST_ID, BIRTHDATE, DEATHDATE), YEAR < BIRTHDATE, BIRTHDATE != -1.\n",
    "\n",
    "% Adding Integrity Constraint Violation Check: Painting dated in the future\n",
    "% schema icv_FUTURE(TITLE)\n",
    "icv_FUTURE(TITLE) :- artwork(TITLE, ARTIST, ARTIST_ID, YEAR), new_artist(NAME, ARTIST_ID, BIRTHDATE, DEATHDATE), YEAR > current_year.\n",
    "\n",
    "% Artwork DB Repair\n",
    "% Fixing the ARTIST_NAME/ARTIST_ID mismatch error if possible.\n",
    "% schema new_artwork(TITLE, ARTIST, ARTIST_ID, YEAR_PAINTED)\n",
    "new_artwork(TITLE, ARTIST, ARTIST_ID, YEAR) :- icv_FK(TITLE, ARTIST_ID), artwork(TITLE, W_ARTIST, ARTIST_ID, YEAR), new_artist(ARTIST, ARTIST_ID, _, _), not icv_DATE(TITLE), not icv_FUTURE(TITLE).\n",
    "\n",
    "% Keeping the artworks with no constraint violations\n",
    "new_artwork(TITLE, ARTIST, ARTIST_ID, YEAR) :- artwork(TITLE, ARTIST, ARTIST_ID, YEAR), not icv_FK(TITLE, ARTIST_ID), not icv_DATE(TITLE), not icv_FUTURE(TITLE)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And re-run the ASP reasoner, which now gives us 4 PWs or 4 sets of \"repairs\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Output:\n"
     ]
    },
    {
     "data": {
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       "<div class=\"highlight\"><pre><span></span><span class=\"lineno\"> 1 </span><span class=\"nv\">Answer</span><span class=\"s s-Atom\">:</span> <span class=\"mi\">1</span>\n",
       "<span class=\"lineno\"> 2 </span><span class=\"nf\">artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">pablo_picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1973</span><span class=\"p\">)</span> <span class=\"nf\">artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">artko</span><span class=\"p\">,</span><span class=\"mi\">18</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">)</span> <span class=\"nf\">artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">)</span> <span class=\"nf\">artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1912</span><span class=\"p\">)</span> <span class=\"nf\">artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1829</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">)</span> <span class=\"nf\">icv_PK</span><span class=\"p\">(</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"s s-Atom\">picasso</span><span class=\"p\">,</span><span class=\"s s-Atom\">pablo_picasso</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1912</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1973</span><span class=\"p\">)</span> <span class=\"nf\">icv_PK</span><span class=\"p\">(</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"s s-Atom\">kusama</span><span class=\"p\">,</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"mi\">1829</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">)</span> <span class=\"nf\">icv_PK</span><span class=\"p\">(</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"s s-Atom\">pablo_picasso</span><span class=\"p\">,</span><span class=\"s s-Atom\">picasso</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1973</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1912</span><span class=\"p\">)</span> <span class=\"nf\">icv_PK</span><span class=\"p\">(</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"s s-Atom\">kusama</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">,</span><span class=\"mi\">1829</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">)</span> <span class=\"nf\">new_artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">artko</span><span class=\"p\">,</span><span class=\"mi\">18</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">seated_woman</span><span class=\"p\">,</span><span class=\"s s-Atom\">pablo_picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1934</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">war_and_peace</span><span class=\"p\">,</span><span class=\"s s-Atom\">picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1955</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">flower</span><span class=\"p\">,</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1953</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">endless</span><span class=\"p\">,</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1984</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">accumulation</span><span class=\"p\">,</span><span class=\"s s-Atom\">kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">2027</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">war</span><span class=\"p\">,</span><span class=\"s s-Atom\">picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1988</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">acapulco_gold</span><span class=\"p\">,</span><span class=\"s s-Atom\">artko</span><span class=\"p\">,</span><span class=\"mi\">18</span><span class=\"p\">,</span><span class=\"mi\">1967</span><span class=\"p\">)</span> <span class=\"nf\">new_artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">acapulco_gold</span><span class=\"p\">,</span><span class=\"s s-Atom\">artko</span><span class=\"p\">,</span><span class=\"mi\">18</span><span class=\"p\">,</span><span class=\"mi\">1967</span><span class=\"p\">)</span> <span class=\"nf\">del_artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">pablo_picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1973</span><span class=\"p\">)</span> <span class=\"nf\">del_artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1829</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">)</span> <span class=\"nf\">new_artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">)</span> <span class=\"nf\">new_artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1912</span><span class=\"p\">)</span> <span class=\"nf\">icv_DATE</span><span class=\"p\">(</span><span class=\"s s-Atom\">war</span><span class=\"p\">)</span> <span class=\"nf\">icv_DATE</span><span class=\"p\">(</span><span class=\"s s-Atom\">seated_woman</span><span class=\"p\">)</span> <span class=\"nf\">icv_DATE</span><span class=\"p\">(</span><span class=\"s s-Atom\">war_and_peace</span><span class=\"p\">)</span> <span class=\"nf\">icv_FUTURE</span><span class=\"p\">(</span><span class=\"s s-Atom\">accumulation</span><span class=\"p\">)</span> <span class=\"nf\">icv_FK</span><span class=\"p\">(</span><span class=\"s s-Atom\">seated_woman</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">)</span> <span class=\"nf\">icv_FK</span><span class=\"p\">(</span><span class=\"s s-Atom\">accumulation</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">)</span> <span class=\"nf\">new_artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">flower</span><span class=\"p\">,</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1953</span><span class=\"p\">)</span> <span class=\"nf\">new_artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">endless</span><span class=\"p\">,</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1984</span><span class=\"p\">)</span>\n",
       "<span class=\"lineno\"> 3 </span><span class=\"nv\">Answer</span><span class=\"s s-Atom\">:</span> <span class=\"mi\">2</span>\n",
       "<span class=\"lineno\"> 4 </span><span class=\"nf\">artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">pablo_picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1973</span><span class=\"p\">)</span> <span class=\"nf\">artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">artko</span><span class=\"p\">,</span><span class=\"mi\">18</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">)</span> <span class=\"nf\">artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">)</span> <span class=\"nf\">artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1912</span><span class=\"p\">)</span> <span class=\"nf\">artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1829</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">)</span> <span class=\"nf\">icv_PK</span><span class=\"p\">(</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"s s-Atom\">picasso</span><span class=\"p\">,</span><span class=\"s s-Atom\">pablo_picasso</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1912</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1973</span><span class=\"p\">)</span> <span class=\"nf\">icv_PK</span><span class=\"p\">(</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"s s-Atom\">kusama</span><span class=\"p\">,</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"mi\">1829</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">)</span> <span class=\"nf\">icv_PK</span><span class=\"p\">(</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"s s-Atom\">pablo_picasso</span><span class=\"p\">,</span><span class=\"s s-Atom\">picasso</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1973</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1912</span><span class=\"p\">)</span> <span class=\"nf\">icv_PK</span><span class=\"p\">(</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"s s-Atom\">kusama</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">,</span><span class=\"mi\">1829</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">)</span> <span class=\"nf\">new_artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">artko</span><span class=\"p\">,</span><span class=\"mi\">18</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">seated_woman</span><span class=\"p\">,</span><span class=\"s s-Atom\">pablo_picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1934</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">war_and_peace</span><span class=\"p\">,</span><span class=\"s s-Atom\">picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1955</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">flower</span><span class=\"p\">,</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1953</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">endless</span><span class=\"p\">,</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1984</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">accumulation</span><span class=\"p\">,</span><span class=\"s s-Atom\">kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">2027</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">war</span><span class=\"p\">,</span><span class=\"s s-Atom\">picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1988</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">acapulco_gold</span><span class=\"p\">,</span><span class=\"s s-Atom\">artko</span><span class=\"p\">,</span><span class=\"mi\">18</span><span class=\"p\">,</span><span class=\"mi\">1967</span><span class=\"p\">)</span> <span class=\"nf\">new_artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">acapulco_gold</span><span class=\"p\">,</span><span class=\"s s-Atom\">artko</span><span class=\"p\">,</span><span class=\"mi\">18</span><span class=\"p\">,</span><span class=\"mi\">1967</span><span class=\"p\">)</span> <span class=\"nf\">del_artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">pablo_picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1973</span><span class=\"p\">)</span> <span class=\"nf\">del_artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">)</span> <span class=\"nf\">new_artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1912</span><span class=\"p\">)</span> <span class=\"nf\">new_artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1829</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">)</span> <span class=\"nf\">icv_DATE</span><span class=\"p\">(</span><span class=\"s s-Atom\">war</span><span class=\"p\">)</span> <span class=\"nf\">icv_DATE</span><span class=\"p\">(</span><span class=\"s s-Atom\">seated_woman</span><span class=\"p\">)</span> <span class=\"nf\">icv_DATE</span><span class=\"p\">(</span><span class=\"s s-Atom\">war_and_peace</span><span class=\"p\">)</span> <span class=\"nf\">icv_DATE</span><span class=\"p\">(</span><span class=\"s s-Atom\">flower</span><span class=\"p\">)</span> <span class=\"nf\">icv_DATE</span><span class=\"p\">(</span><span class=\"s s-Atom\">endless</span><span class=\"p\">)</span> <span class=\"nf\">icv_DATE</span><span class=\"p\">(</span><span class=\"s s-Atom\">accumulation</span><span class=\"p\">)</span> <span class=\"nf\">icv_FUTURE</span><span class=\"p\">(</span><span class=\"s s-Atom\">accumulation</span><span class=\"p\">)</span> <span class=\"nf\">icv_FK</span><span class=\"p\">(</span><span class=\"s s-Atom\">seated_woman</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">)</span> <span class=\"nf\">icv_FK</span><span class=\"p\">(</span><span class=\"s s-Atom\">flower</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">)</span> <span class=\"nf\">icv_FK</span><span class=\"p\">(</span><span class=\"s s-Atom\">endless</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">)</span>\n",
       "<span class=\"lineno\"> 5 </span><span class=\"nv\">Answer</span><span class=\"s s-Atom\">:</span> <span class=\"mi\">3</span>\n",
       "<span class=\"lineno\"> 6 </span><span class=\"nf\">artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">pablo_picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1973</span><span class=\"p\">)</span> <span class=\"nf\">artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">artko</span><span class=\"p\">,</span><span class=\"mi\">18</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">)</span> <span class=\"nf\">artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">)</span> <span class=\"nf\">artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1912</span><span class=\"p\">)</span> <span class=\"nf\">artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1829</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">)</span> <span class=\"nf\">icv_PK</span><span class=\"p\">(</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"s s-Atom\">picasso</span><span class=\"p\">,</span><span class=\"s s-Atom\">pablo_picasso</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1912</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1973</span><span class=\"p\">)</span> <span class=\"nf\">icv_PK</span><span class=\"p\">(</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"s s-Atom\">kusama</span><span class=\"p\">,</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"mi\">1829</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">)</span> <span class=\"nf\">icv_PK</span><span class=\"p\">(</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"s s-Atom\">pablo_picasso</span><span class=\"p\">,</span><span class=\"s s-Atom\">picasso</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1973</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1912</span><span class=\"p\">)</span> <span class=\"nf\">icv_PK</span><span class=\"p\">(</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"s s-Atom\">kusama</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">,</span><span class=\"mi\">1829</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">)</span> <span class=\"nf\">new_artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">artko</span><span class=\"p\">,</span><span class=\"mi\">18</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">seated_woman</span><span class=\"p\">,</span><span class=\"s s-Atom\">pablo_picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1934</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">war_and_peace</span><span class=\"p\">,</span><span class=\"s s-Atom\">picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1955</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">flower</span><span class=\"p\">,</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1953</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">endless</span><span class=\"p\">,</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1984</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">accumulation</span><span class=\"p\">,</span><span class=\"s s-Atom\">kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">2027</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">war</span><span class=\"p\">,</span><span class=\"s s-Atom\">picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1988</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">acapulco_gold</span><span class=\"p\">,</span><span class=\"s s-Atom\">artko</span><span class=\"p\">,</span><span class=\"mi\">18</span><span class=\"p\">,</span><span class=\"mi\">1967</span><span class=\"p\">)</span> <span class=\"nf\">new_artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">acapulco_gold</span><span class=\"p\">,</span><span class=\"s s-Atom\">artko</span><span class=\"p\">,</span><span class=\"mi\">18</span><span class=\"p\">,</span><span class=\"mi\">1967</span><span class=\"p\">)</span> <span class=\"nf\">del_artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1912</span><span class=\"p\">)</span> <span class=\"nf\">del_artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1829</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">)</span> <span class=\"nf\">new_artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">pablo_picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1973</span><span class=\"p\">)</span> <span class=\"nf\">new_artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">)</span> <span class=\"nf\">icv_DATE</span><span class=\"p\">(</span><span class=\"s s-Atom\">war</span><span class=\"p\">)</span> <span class=\"nf\">icv_FUTURE</span><span class=\"p\">(</span><span class=\"s s-Atom\">accumulation</span><span class=\"p\">)</span> <span class=\"nf\">icv_FK</span><span class=\"p\">(</span><span class=\"s s-Atom\">war_and_peace</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">)</span> <span class=\"nf\">icv_FK</span><span class=\"p\">(</span><span class=\"s s-Atom\">accumulation</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">)</span> <span class=\"nf\">icv_FK</span><span class=\"p\">(</span><span class=\"s s-Atom\">war</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">)</span> <span class=\"nf\">new_artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">seated_woman</span><span class=\"p\">,</span><span class=\"s s-Atom\">pablo_picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1934</span><span class=\"p\">)</span> <span class=\"nf\">new_artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">flower</span><span class=\"p\">,</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1953</span><span class=\"p\">)</span> <span class=\"nf\">new_artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">endless</span><span class=\"p\">,</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1984</span><span class=\"p\">)</span> <span class=\"nf\">new_artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">war_and_peace</span><span class=\"p\">,</span><span class=\"s s-Atom\">pablo_picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1955</span><span class=\"p\">)</span>\n",
       "<span class=\"lineno\"> 7 </span><span class=\"nv\">Answer</span><span class=\"s s-Atom\">:</span> <span class=\"mi\">4</span>\n",
       "<span class=\"lineno\"> 8 </span><span class=\"nf\">artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">pablo_picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1973</span><span class=\"p\">)</span> <span class=\"nf\">artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">artko</span><span class=\"p\">,</span><span class=\"mi\">18</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">)</span> <span class=\"nf\">artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">)</span> <span class=\"nf\">artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1912</span><span class=\"p\">)</span> <span class=\"nf\">artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1829</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">)</span> <span class=\"nf\">icv_PK</span><span class=\"p\">(</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"s s-Atom\">picasso</span><span class=\"p\">,</span><span class=\"s s-Atom\">pablo_picasso</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1912</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1973</span><span class=\"p\">)</span> <span class=\"nf\">icv_PK</span><span class=\"p\">(</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"s s-Atom\">kusama</span><span class=\"p\">,</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"mi\">1829</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">)</span> <span class=\"nf\">icv_PK</span><span class=\"p\">(</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"s s-Atom\">pablo_picasso</span><span class=\"p\">,</span><span class=\"s s-Atom\">picasso</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1973</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1912</span><span class=\"p\">)</span> <span class=\"nf\">icv_PK</span><span class=\"p\">(</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"s s-Atom\">kusama</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">,</span><span class=\"mi\">1829</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">)</span> <span class=\"nf\">new_artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">artko</span><span class=\"p\">,</span><span class=\"mi\">18</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">seated_woman</span><span class=\"p\">,</span><span class=\"s s-Atom\">pablo_picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1934</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">war_and_peace</span><span class=\"p\">,</span><span class=\"s s-Atom\">picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1955</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">flower</span><span class=\"p\">,</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1953</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">endless</span><span class=\"p\">,</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1984</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">accumulation</span><span class=\"p\">,</span><span class=\"s s-Atom\">kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">2027</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">war</span><span class=\"p\">,</span><span class=\"s s-Atom\">picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1988</span><span class=\"p\">)</span> <span class=\"nf\">artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">acapulco_gold</span><span class=\"p\">,</span><span class=\"s s-Atom\">artko</span><span class=\"p\">,</span><span class=\"mi\">18</span><span class=\"p\">,</span><span class=\"mi\">1967</span><span class=\"p\">)</span> <span class=\"nf\">new_artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">acapulco_gold</span><span class=\"p\">,</span><span class=\"s s-Atom\">artko</span><span class=\"p\">,</span><span class=\"mi\">18</span><span class=\"p\">,</span><span class=\"mi\">1967</span><span class=\"p\">)</span> <span class=\"nf\">del_artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1912</span><span class=\"p\">)</span> <span class=\"nf\">del_artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">yayoi_kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">,</span><span class=\"mi\">0</span><span class=\"p\">)</span> <span class=\"nf\">new_artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">pablo_picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1881</span><span class=\"p\">,</span><span class=\"mi\">1973</span><span class=\"p\">)</span> <span class=\"nf\">new_artist</span><span class=\"p\">(</span><span class=\"s s-Atom\">kusama</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">,</span><span class=\"mi\">1829</span><span class=\"p\">,</span><span class=\"mi\">1929</span><span class=\"p\">)</span> <span class=\"nf\">icv_DATE</span><span class=\"p\">(</span><span class=\"s s-Atom\">war</span><span class=\"p\">)</span> <span class=\"nf\">icv_DATE</span><span class=\"p\">(</span><span class=\"s s-Atom\">flower</span><span class=\"p\">)</span> <span class=\"nf\">icv_DATE</span><span class=\"p\">(</span><span class=\"s s-Atom\">endless</span><span class=\"p\">)</span> <span class=\"nf\">icv_DATE</span><span class=\"p\">(</span><span class=\"s s-Atom\">accumulation</span><span class=\"p\">)</span> <span class=\"nf\">icv_FUTURE</span><span class=\"p\">(</span><span class=\"s s-Atom\">accumulation</span><span class=\"p\">)</span> <span class=\"nf\">icv_FK</span><span class=\"p\">(</span><span class=\"s s-Atom\">war_and_peace</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">)</span> <span class=\"nf\">icv_FK</span><span class=\"p\">(</span><span class=\"s s-Atom\">flower</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">)</span> <span class=\"nf\">icv_FK</span><span class=\"p\">(</span><span class=\"s s-Atom\">endless</span><span class=\"p\">,</span><span class=\"mi\">3315</span><span class=\"p\">)</span> <span class=\"nf\">icv_FK</span><span class=\"p\">(</span><span class=\"s s-Atom\">war</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">)</span> <span class=\"nf\">new_artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">seated_woman</span><span class=\"p\">,</span><span class=\"s s-Atom\">pablo_picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1934</span><span class=\"p\">)</span> <span class=\"nf\">new_artwork</span><span class=\"p\">(</span><span class=\"s s-Atom\">war_and_peace</span><span class=\"p\">,</span><span class=\"s s-Atom\">pablo_picasso</span><span class=\"p\">,</span><span class=\"mi\">4609</span><span class=\"p\">,</span><span class=\"mi\">1955</span><span class=\"p\">)</span>\n",
       "<span class=\"lineno\"> 9 </span><span class=\"nv\">SATISFIABLE</span>\n",
       "<span class=\"lineno\">10 </span>\n",
       "<span class=\"lineno\">11 </span><span class=\"nv\">Models</span>       <span class=\"s s-Atom\">:</span> <span class=\"mi\">4</span>\n",
       "<span class=\"lineno\">12 </span><span class=\"nv\">Calls</span>        <span class=\"s s-Atom\">:</span> <span class=\"mi\">1</span>\n",
       "<span class=\"lineno\">13 </span><span class=\"nv\">Time</span>         <span class=\"s s-Atom\">:</span> <span class=\"mf\">0.003</span><span class=\"nf\">s</span> <span class=\"p\">(</span><span class=\"nv\">Solving</span><span class=\"s s-Atom\">:</span> <span class=\"mf\">0.00</span><span class=\"s s-Atom\">s</span> <span class=\"mi\">1</span><span class=\"s s-Atom\">st</span> <span class=\"nv\">Model</span><span class=\"s s-Atom\">:</span> <span class=\"mf\">0.00</span><span class=\"s s-Atom\">s</span> <span class=\"nv\">Unsat</span><span class=\"s s-Atom\">:</span> <span class=\"mf\">0.00</span><span class=\"s s-Atom\">s</span><span class=\"p\">)</span>\n",
       "<span class=\"lineno\">14 </span><span class=\"nv\">CPU</span> <span class=\"nv\">Time</span>     <span class=\"s s-Atom\">:</span> <span class=\"mf\">0.003</span><span class=\"s s-Atom\">s</span>\n",
       "</pre></div>\n"
      ],
      "text/plain": [
       "'Answer: 1\\nartist(pablo_picasso,4609,1881,1973) artist(artko,18,0,0) artist(yayoi_kusama,3315,1929,0) artist(picasso,4609,1881,1912) artist(kusama,3315,1829,1929) icv_PK(4609,picasso,pablo_picasso,1881,1912,1881,1973) icv_PK(3315,kusama,yayoi_kusama,1829,1929,1929,0) icv_PK(4609,pablo_picasso,picasso,1881,1973,1881,1912) icv_PK(3315,yayoi_kusama,kusama,1929,0,1829,1929) new_artist(artko,18,0,0) artwork(seated_woman,pablo_picasso,4609,1934) artwork(war_and_peace,picasso,4609,1955) artwork(flower,yayoi_kusama,3315,1953) artwork(endless,yayoi_kusama,3315,1984) artwork(accumulation,kusama,3315,2027) artwork(war,picasso,4609,1988) artwork(acapulco_gold,artko,18,1967) new_artwork(acapulco_gold,artko,18,1967) del_artist(pablo_picasso,4609,1881,1973) del_artist(kusama,3315,1829,1929) new_artist(yayoi_kusama,3315,1929,0) new_artist(picasso,4609,1881,1912) icv_DATE(war) icv_DATE(seated_woman) icv_DATE(war_and_peace) icv_FUTURE(accumulation) icv_FK(seated_woman,4609) icv_FK(accumulation,3315) new_artwork(flower,yayoi_kusama,3315,1953) new_artwork(endless,yayoi_kusama,3315,1984)\\nAnswer: 2\\nartist(pablo_picasso,4609,1881,1973) artist(artko,18,0,0) artist(yayoi_kusama,3315,1929,0) artist(picasso,4609,1881,1912) artist(kusama,3315,1829,1929) icv_PK(4609,picasso,pablo_picasso,1881,1912,1881,1973) icv_PK(3315,kusama,yayoi_kusama,1829,1929,1929,0) icv_PK(4609,pablo_picasso,picasso,1881,1973,1881,1912) icv_PK(3315,yayoi_kusama,kusama,1929,0,1829,1929) new_artist(artko,18,0,0) artwork(seated_woman,pablo_picasso,4609,1934) artwork(war_and_peace,picasso,4609,1955) artwork(flower,yayoi_kusama,3315,1953) artwork(endless,yayoi_kusama,3315,1984) artwork(accumulation,kusama,3315,2027) artwork(war,picasso,4609,1988) artwork(acapulco_gold,artko,18,1967) new_artwork(acapulco_gold,artko,18,1967) del_artist(pablo_picasso,4609,1881,1973) del_artist(yayoi_kusama,3315,1929,0) new_artist(picasso,4609,1881,1912) new_artist(kusama,3315,1829,1929) icv_DATE(war) icv_DATE(seated_woman) icv_DATE(war_and_peace) icv_DATE(flower) icv_DATE(endless) icv_DATE(accumulation) icv_FUTURE(accumulation) icv_FK(seated_woman,4609) icv_FK(flower,3315) icv_FK(endless,3315)\\nAnswer: 3\\nartist(pablo_picasso,4609,1881,1973) artist(artko,18,0,0) artist(yayoi_kusama,3315,1929,0) artist(picasso,4609,1881,1912) artist(kusama,3315,1829,1929) icv_PK(4609,picasso,pablo_picasso,1881,1912,1881,1973) icv_PK(3315,kusama,yayoi_kusama,1829,1929,1929,0) icv_PK(4609,pablo_picasso,picasso,1881,1973,1881,1912) icv_PK(3315,yayoi_kusama,kusama,1929,0,1829,1929) new_artist(artko,18,0,0) artwork(seated_woman,pablo_picasso,4609,1934) artwork(war_and_peace,picasso,4609,1955) artwork(flower,yayoi_kusama,3315,1953) artwork(endless,yayoi_kusama,3315,1984) artwork(accumulation,kusama,3315,2027) artwork(war,picasso,4609,1988) artwork(acapulco_gold,artko,18,1967) new_artwork(acapulco_gold,artko,18,1967) del_artist(picasso,4609,1881,1912) del_artist(kusama,3315,1829,1929) new_artist(pablo_picasso,4609,1881,1973) new_artist(yayoi_kusama,3315,1929,0) icv_DATE(war) icv_FUTURE(accumulation) icv_FK(war_and_peace,4609) icv_FK(accumulation,3315) icv_FK(war,4609) new_artwork(seated_woman,pablo_picasso,4609,1934) new_artwork(flower,yayoi_kusama,3315,1953) new_artwork(endless,yayoi_kusama,3315,1984) new_artwork(war_and_peace,pablo_picasso,4609,1955)\\nAnswer: 4\\nartist(pablo_picasso,4609,1881,1973) artist(artko,18,0,0) artist(yayoi_kusama,3315,1929,0) artist(picasso,4609,1881,1912) artist(kusama,3315,1829,1929) icv_PK(4609,picasso,pablo_picasso,1881,1912,1881,1973) icv_PK(3315,kusama,yayoi_kusama,1829,1929,1929,0) icv_PK(4609,pablo_picasso,picasso,1881,1973,1881,1912) icv_PK(3315,yayoi_kusama,kusama,1929,0,1829,1929) new_artist(artko,18,0,0) artwork(seated_woman,pablo_picasso,4609,1934) artwork(war_and_peace,picasso,4609,1955) artwork(flower,yayoi_kusama,3315,1953) artwork(endless,yayoi_kusama,3315,1984) artwork(accumulation,kusama,3315,2027) artwork(war,picasso,4609,1988) artwork(acapulco_gold,artko,18,1967) new_artwork(acapulco_gold,artko,18,1967) del_artist(picasso,4609,1881,1912) del_artist(yayoi_kusama,3315,1929,0) new_artist(pablo_picasso,4609,1881,1973) new_artist(kusama,3315,1829,1929) icv_DATE(war) icv_DATE(flower) icv_DATE(endless) icv_DATE(accumulation) icv_FUTURE(accumulation) icv_FK(war_and_peace,4609) icv_FK(flower,3315) icv_FK(endless,3315) icv_FK(war,4609) new_artwork(seated_woman,pablo_picasso,4609,1934) new_artwork(war_and_peace,pablo_picasso,4609,1955)\\nSATISFIABLE\\n\\nModels       : 4\\nCalls        : 1\\nTime         : 0.003s (Solving: 0.00s 1st Model: 0.00s Unsat: 0.00s)\\nCPU Time     : 0.003s'"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%clingo -l moma_dataset repair_rules --donot-display_input --saveto clingo_soln --save_meta_data_to meta_data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We once again load them into Pandas Dataframes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of Models: 4\n"
     ]
    }
   ],
   "source": [
    "pw_rel_dfs, rel_schemas, pw_objs = load_worlds(asp_output=clingo_soln, meta_data=meta_data, reasoner='clingo')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[{'relation_name': 'artist_4',\n",
       "  'arity': 4,\n",
       "  'r_id': 0,\n",
       "  'meta_data': {'attr_def': ['NAME', 'ID', 'BIRTHDATE', 'DEATHDATE']}},\n",
       " {'relation_name': 'icv_PK_7', 'arity': 7, 'r_id': 1, 'meta_data': {}},\n",
       " {'relation_name': 'new_artist_4',\n",
       "  'arity': 4,\n",
       "  'r_id': 2,\n",
       "  'meta_data': {'attr_def': ['NAME', 'ID', 'BIRTHDATE', 'DEATHDATE']}},\n",
       " {'relation_name': 'artwork_4',\n",
       "  'arity': 4,\n",
       "  'r_id': 3,\n",
       "  'meta_data': {'attr_def': ['TITLE', 'ARTIST', 'ARTIST_ID', 'YEAR_PAINTED']}},\n",
       " {'relation_name': 'new_artwork_4',\n",
       "  'arity': 4,\n",
       "  'r_id': 4,\n",
       "  'meta_data': {'attr_def': ['TITLE', 'ARTIST', 'ARTIST_ID', 'YEAR_PAINTED']}},\n",
       " {'relation_name': 'del_artist_4', 'arity': 4, 'r_id': 5, 'meta_data': {}},\n",
       " {'relation_name': 'icv_DATE_1',\n",
       "  'arity': 1,\n",
       "  'r_id': 6,\n",
       "  'meta_data': {'attr_def': ['TITLE']}},\n",
       " {'relation_name': 'icv_FUTURE_1',\n",
       "  'arity': 1,\n",
       "  'r_id': 7,\n",
       "  'meta_data': {'attr_def': ['TITLE']}},\n",
       " {'relation_name': 'icv_FK_2',\n",
       "  'arity': 2,\n",
       "  'r_id': 8,\n",
       "  'meta_data': {'attr_def': ['TITLE', 'ARTIST_ID']}}]"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list(map(lambda x: x.__dict__, rel_schemas))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dict_keys(['artist_4', 'icv_PK_7', 'new_artist_4', 'artwork_4', 'new_artwork_4', 'del_artist_4', 'icv_DATE_1', 'icv_FUTURE_1', 'icv_FK_2'])"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pw_rel_dfs.keys()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>pw</th>\n",
       "      <th>NAME</th>\n",
       "      <th>ID</th>\n",
       "      <th>BIRTHDATE</th>\n",
       "      <th>DEATHDATE</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>artko</td>\n",
       "      <td>18</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>yayoi_kusama</td>\n",
       "      <td>3315</td>\n",
       "      <td>1929</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>picasso</td>\n",
       "      <td>4609</td>\n",
       "      <td>1881</td>\n",
       "      <td>1912</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2</td>\n",
       "      <td>artko</td>\n",
       "      <td>18</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2</td>\n",
       "      <td>picasso</td>\n",
       "      <td>4609</td>\n",
       "      <td>1881</td>\n",
       "      <td>1912</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>2</td>\n",
       "      <td>kusama</td>\n",
       "      <td>3315</td>\n",
       "      <td>1829</td>\n",
       "      <td>1929</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>3</td>\n",
       "      <td>artko</td>\n",
       "      <td>18</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>3</td>\n",
       "      <td>pablo_picasso</td>\n",
       "      <td>4609</td>\n",
       "      <td>1881</td>\n",
       "      <td>1973</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>3</td>\n",
       "      <td>yayoi_kusama</td>\n",
       "      <td>3315</td>\n",
       "      <td>1929</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>4</td>\n",
       "      <td>artko</td>\n",
       "      <td>18</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>4</td>\n",
       "      <td>pablo_picasso</td>\n",
       "      <td>4609</td>\n",
       "      <td>1881</td>\n",
       "      <td>1973</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>4</td>\n",
       "      <td>kusama</td>\n",
       "      <td>3315</td>\n",
       "      <td>1829</td>\n",
       "      <td>1929</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    pw           NAME    ID BIRTHDATE DEATHDATE\n",
       "0    1          artko    18         0         0\n",
       "1    1   yayoi_kusama  3315      1929         0\n",
       "2    1        picasso  4609      1881      1912\n",
       "3    2          artko    18         0         0\n",
       "4    2        picasso  4609      1881      1912\n",
       "5    2         kusama  3315      1829      1929\n",
       "6    3          artko    18         0         0\n",
       "7    3  pablo_picasso  4609      1881      1973\n",
       "8    3   yayoi_kusama  3315      1929         0\n",
       "9    4          artko    18         0         0\n",
       "10   4  pablo_picasso  4609      1881      1973\n",
       "11   4         kusama  3315      1829      1929"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pw_rel_dfs['new_artist_4']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>pw</th>\n",
       "      <th>TITLE</th>\n",
       "      <th>ARTIST</th>\n",
       "      <th>ARTIST_ID</th>\n",
       "      <th>YEAR_PAINTED</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>acapulco_gold</td>\n",
       "      <td>artko</td>\n",
       "      <td>18</td>\n",
       "      <td>1967</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>flower</td>\n",
       "      <td>yayoi_kusama</td>\n",
       "      <td>3315</td>\n",
       "      <td>1953</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>endless</td>\n",
       "      <td>yayoi_kusama</td>\n",
       "      <td>3315</td>\n",
       "      <td>1984</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2</td>\n",
       "      <td>acapulco_gold</td>\n",
       "      <td>artko</td>\n",
       "      <td>18</td>\n",
       "      <td>1967</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>3</td>\n",
       "      <td>acapulco_gold</td>\n",
       "      <td>artko</td>\n",
       "      <td>18</td>\n",
       "      <td>1967</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>3</td>\n",
       "      <td>seated_woman</td>\n",
       "      <td>pablo_picasso</td>\n",
       "      <td>4609</td>\n",
       "      <td>1934</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>3</td>\n",
       "      <td>flower</td>\n",
       "      <td>yayoi_kusama</td>\n",
       "      <td>3315</td>\n",
       "      <td>1953</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>3</td>\n",
       "      <td>endless</td>\n",
       "      <td>yayoi_kusama</td>\n",
       "      <td>3315</td>\n",
       "      <td>1984</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>3</td>\n",
       "      <td>war_and_peace</td>\n",
       "      <td>pablo_picasso</td>\n",
       "      <td>4609</td>\n",
       "      <td>1955</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>4</td>\n",
       "      <td>acapulco_gold</td>\n",
       "      <td>artko</td>\n",
       "      <td>18</td>\n",
       "      <td>1967</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>4</td>\n",
       "      <td>seated_woman</td>\n",
       "      <td>pablo_picasso</td>\n",
       "      <td>4609</td>\n",
       "      <td>1934</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>4</td>\n",
       "      <td>war_and_peace</td>\n",
       "      <td>pablo_picasso</td>\n",
       "      <td>4609</td>\n",
       "      <td>1955</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    pw          TITLE         ARTIST ARTIST_ID YEAR_PAINTED\n",
       "0    1  acapulco_gold          artko        18         1967\n",
       "1    1         flower   yayoi_kusama      3315         1953\n",
       "2    1        endless   yayoi_kusama      3315         1984\n",
       "3    2  acapulco_gold          artko        18         1967\n",
       "4    3  acapulco_gold          artko        18         1967\n",
       "5    3   seated_woman  pablo_picasso      4609         1934\n",
       "6    3         flower   yayoi_kusama      3315         1953\n",
       "7    3        endless   yayoi_kusama      3315         1984\n",
       "8    3  war_and_peace  pablo_picasso      4609         1955\n",
       "9    4  acapulco_gold          artko        18         1967\n",
       "10   4   seated_woman  pablo_picasso      4609         1934\n",
       "11   4  war_and_peace  pablo_picasso      4609         1955"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pw_rel_dfs['new_artwork_4']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Analysis of the 4 repair options"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### We can now visualize these 4 PWs to determine the differences between them"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 2160x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 2160x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 2160x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2160x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for pw_id in range(1, len(pw_objs)+1):\n",
    "    fig, ax = artwork_viz_combined(pw_rel_dfs['new_artwork_4'], pw_rel_dfs['new_artist_4'], pw_id)\n",
    "#     for ftype in ['pdf', 'svg']:\n",
    "#         fig.savefig('Timeline Visualizations/pw_{}.{}'.format(pw_id, ftype), format=ftype, dpi=1200)\n",
    "#     fig.savefig('Timeline Visualizations/pw_{}.{}'.format(pw_id, 'png'), format='png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Since the ASP program removes the paintings that do not \"fit\" the PW, each world ends up with a different set of painting, based on the artist selected in case of duplicate artists, etc. We can find the number of paintings in these PWs as follows"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "There exist 3 tuples of relation new_artwork_4 in PW 1\n",
      "There exist 1 tuples of relation new_artwork_4 in PW 2\n",
      "There exist 5 tuples of relation new_artwork_4 in PW 3\n",
      "There exist 3 tuples of relation new_artwork_4 in PW 4\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[(1, 3), (2, 1), (3, 5), (4, 3)]"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "num_paintings = [(pw_id, PWEQuery.num_tuples(dfs=pw_rel_dfs, pw_id=pw_id, rl_name='new_artwork_4')) for pw_id in range(1, len(pw_objs)+1)]\n",
    "num_paintings"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### On sorting them , we see that PW3 has 5 paintings, PW1 has 3 and so on..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(3, 5), (1, 3), (4, 3), (2, 1)]"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "num_paintings = sorted(num_paintings, key=lambda x: x[1], reverse=True)\n",
    "num_paintings"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Choosing a reasonable repair option"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Assuming the number of errors in the database entry were minimal, the most plausible \"repair\"/PW must be the one which preserves most paintings (keeps most paintings consistent). That in our case is PW3. (which also turns out to be the PW consistent with the original database (before we added inconsistencies to it))."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 2160x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ = artwork_viz_combined(pw_rel_dfs['new_artwork_4'], pw_rel_dfs['new_artist_4'], num_paintings[0][0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}