{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from pprint import pprint"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Neo4j\n",
    "\n",
    "Neo4j is a graph database, and is useful when the *relationships* between items in our database is of interest.\n",
    "\n",
    "- [Developer's manual](https://neo4j.com/docs/developer-manual/3.4/)\n",
    "- [The Cypher query language](https://neo4j.com/docs/developer-manual/3.4/cypher/)\n",
    "- [Cypher magic](pip install ipython-cypher)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Graph concepts"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### elements\n",
    "\n",
    "- graph\n",
    "- vertex\n",
    "- edge\n",
    "- path\n",
    "\n",
    "### graph properties\n",
    "\n",
    "- directed or undirected\n",
    "- weighted or unweighted\n",
    "- cyclic or acyclic\n",
    "- single or multiple edges\n",
    "- connected or disconnected\n",
    "\n",
    "### vertex properties\n",
    "\n",
    "- in-degree\n",
    "- out-degree\n",
    "- centrality\n",
    "\n",
    "### edge properties\n",
    "\n",
    "- direction\n",
    "- weight\n",
    "- multiplicity\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Graph representations\n",
    "\n",
    "- Vertex and edge collections\n",
    "- Adjacency list\n",
    "- Adjacency matrix\n",
    "- Sparse matrix"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "vs = ['a', 'b', 'c', 'd']\n",
    "es = [('a','c', 1), ('b','c', 2), ('a','d', 3), ('c', 'd', 4)]\n",
    "\n",
    "g1 = nx.DiGraph()\n",
    "g1.add_nodes_from(vs)\n",
    "g1.add_weighted_edges_from(es)\n",
    "\n",
    "pos = nx.spring_layout(g1)\n",
    "labels = nx.get_edge_attributes(g1,'weight')\n",
    "nx.draw(g1, pos=pos, alpha=0.5)\n",
    "nx.draw_networkx_edge_labels(g1, pos=pos, edge_labels=labels)\n",
    "nx.draw_networkx_labels(g1, pos=pos)\n",
    "pass"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "#/usr/local/lib/python3.6/site-packages/ipykernel_launcher.py -f /Users/cliburn/Library/Jupyter/runtime/kernel-c9a57054-1320-4816-9dbe-da7c9fc8eeb8.json\n",
      "# GMT Fri Sep  7 18:57:23 2018\n",
      "# \n",
      "a c d\n",
      "b c\n",
      "c d\n",
      "d\n"
     ]
    }
   ],
   "source": [
    "nx.write_adjlist(g1, sys.stdout)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  (0, 2)\t1\n",
      "  (0, 3)\t3\n",
      "  (1, 2)\t2\n",
      "  (2, 3)\t4\n"
     ]
    }
   ],
   "source": [
    "print(nx.adj_matrix(g1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "matrix([[0, 0, 1, 3],\n",
       "        [0, 0, 2, 0],\n",
       "        [0, 0, 0, 4],\n",
       "        [0, 0, 0, 0]], dtype=int64)"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nx.adj_matrix(g1).todense()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Standard format for graph exchange is GraphML"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "graph [\n",
      "  directed 1\n",
      "  node [\n",
      "    id 0\n",
      "    label \"a\"\n",
      "  ]\n",
      "  node [\n",
      "    id 1\n",
      "    label \"b\"\n",
      "  ]\n",
      "  node [\n",
      "    id 2\n",
      "    label \"c\"\n",
      "  ]\n",
      "  node [\n",
      "    id 3\n",
      "    label \"d\"\n",
      "  ]\n",
      "  edge [\n",
      "    source 0\n",
      "    target 2\n",
      "    weight 1\n",
      "  ]\n",
      "  edge [\n",
      "    source 0\n",
      "    target 3\n",
      "    weight 3\n",
      "  ]\n",
      "  edge [\n",
      "    source 1\n",
      "    target 2\n",
      "    weight 2\n",
      "  ]\n",
      "  edge [\n",
      "    source 2\n",
      "    target 3\n",
      "    weight 4\n",
      "  ]\n",
      "]\n"
     ]
    }
   ],
   "source": [
    "nx.write_gml(g1, sys.stdout)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Some examples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "n = 50\n",
    "k = 6\n",
    "p =0.3\n",
    "g = nx.watts_strogatz_graph(n, k, p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Visual representations of the same graph may look very different"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Complete graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114874630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nx.draw_circular(nx.complete_graph(10), alpha=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114c0d7b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nx.draw(nx.complete_graph(10), alpha=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114a037f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nx.draw_random(nx.complete_graph(10), alpha=0.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Undirected graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114dd49b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nx.draw(nx.krackhardt_kite_graph(), alpha=0.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Directed graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114ad8390>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nx.draw(nx.gn_graph(25), alpha=0.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Cypher"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%load_ext cypher"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%config CypherMagic.uri='http://neo4j:bios-823@localhost:7474/db/data/'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Create a database\n",
    "\n",
    "This is a small subset of the full database. If you want to play with the full database, see [instructions](https://neo4j.com/developer/movie-database/)\n",
    "\n",
    "Note: There are [other ways to create a graph database by importing data](https://neo4j.com/developer/guide-importing-data-and-etl/)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "564 properties set.\n",
      "253 relationships created.\n",
      "171 labels added.\n",
      "171 nodes created.\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "    <tr>\n",
       "    </tr>\n",
       "</table>"
      ],
      "text/plain": [
       "[]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%%cypher\n",
    "\n",
    "CREATE (TheMatrix:Movie {title:'The Matrix', released:1999, tagline:'Welcome to the Real World'})\n",
    "CREATE (Keanu:Person {name:'Keanu Reeves', born:1964})\n",
    "CREATE (Carrie:Person {name:'Carrie-Anne Moss', born:1967})\n",
    "CREATE (Laurence:Person {name:'Laurence Fishburne', born:1961})\n",
    "CREATE (Hugo:Person {name:'Hugo Weaving', born:1960})\n",
    "CREATE (LillyW:Person {name:'Lilly Wachowski', born:1967})\n",
    "CREATE (LanaW:Person {name:'Lana Wachowski', born:1965})\n",
    "CREATE (JoelS:Person {name:'Joel Silver', born:1952})\n",
    "CREATE\n",
    "  (Keanu)-[:ACTED_IN {roles:['Neo']}]->(TheMatrix),\n",
    "  (Carrie)-[:ACTED_IN {roles:['Trinity']}]->(TheMatrix),\n",
    "  (Laurence)-[:ACTED_IN {roles:['Morpheus']}]->(TheMatrix),\n",
    "  (Hugo)-[:ACTED_IN {roles:['Agent Smith']}]->(TheMatrix),\n",
    "  (LillyW)-[:DIRECTED]->(TheMatrix),\n",
    "  (LanaW)-[:DIRECTED]->(TheMatrix),\n",
    "  (JoelS)-[:PRODUCED]->(TheMatrix)\n",
    "\n",
    "CREATE (Emil:Person {name:\"Emil Eifrem\", born:1978})\n",
    "CREATE (Emil)-[:ACTED_IN {roles:[\"Emil\"]}]->(TheMatrix)\n",
    "\n",
    "CREATE (TheMatrixReloaded:Movie {title:'The Matrix Reloaded', released:2003, tagline:'Free your mind'})\n",
    "CREATE\n",
    "  (Keanu)-[:ACTED_IN {roles:['Neo']}]->(TheMatrixReloaded),\n",
    "  (Carrie)-[:ACTED_IN {roles:['Trinity']}]->(TheMatrixReloaded),\n",
    "  (Laurence)-[:ACTED_IN {roles:['Morpheus']}]->(TheMatrixReloaded),\n",
    "  (Hugo)-[:ACTED_IN {roles:['Agent Smith']}]->(TheMatrixReloaded),\n",
    "  (LillyW)-[:DIRECTED]->(TheMatrixReloaded),\n",
    "  (LanaW)-[:DIRECTED]->(TheMatrixReloaded),\n",
    "  (JoelS)-[:PRODUCED]->(TheMatrixReloaded)\n",
    "\n",
    "CREATE (TheMatrixRevolutions:Movie {title:'The Matrix Revolutions', released:2003, tagline:'Everything that has a beginning has an end'})\n",
    "CREATE\n",
    "  (Keanu)-[:ACTED_IN {roles:['Neo']}]->(TheMatrixRevolutions),\n",
    "  (Carrie)-[:ACTED_IN {roles:['Trinity']}]->(TheMatrixRevolutions),\n",
    "  (Laurence)-[:ACTED_IN {roles:['Morpheus']}]->(TheMatrixRevolutions),\n",
    "  (Hugo)-[:ACTED_IN {roles:['Agent Smith']}]->(TheMatrixRevolutions),\n",
    "  (LillyW)-[:DIRECTED]->(TheMatrixRevolutions),\n",
    "  (LanaW)-[:DIRECTED]->(TheMatrixRevolutions),\n",
    "  (JoelS)-[:PRODUCED]->(TheMatrixRevolutions)\n",
    "\n",
    "CREATE (TheDevilsAdvocate:Movie {title:\"The Devil's Advocate\", released:1997, tagline:'Evil has its winning ways'})\n",
    "CREATE (Charlize:Person {name:'Charlize Theron', born:1975})\n",
    "CREATE (Al:Person {name:'Al Pacino', born:1940})\n",
    "CREATE (Taylor:Person {name:'Taylor Hackford', born:1944})\n",
    "CREATE\n",
    "  (Keanu)-[:ACTED_IN {roles:['Kevin Lomax']}]->(TheDevilsAdvocate),\n",
    "  (Charlize)-[:ACTED_IN {roles:['Mary Ann Lomax']}]->(TheDevilsAdvocate),\n",
    "  (Al)-[:ACTED_IN {roles:['John Milton']}]->(TheDevilsAdvocate),\n",
    "  (Taylor)-[:DIRECTED]->(TheDevilsAdvocate)\n",
    "\n",
    "CREATE (AFewGoodMen:Movie {title:\"A Few Good Men\", released:1992, tagline:\"In the heart of the nation's capital, in a courthouse of the U.S. government, one man will stop at nothing to keep his honor, and one will stop at nothing to find the truth.\"})\n",
    "CREATE (TomC:Person {name:'Tom Cruise', born:1962})\n",
    "CREATE (JackN:Person {name:'Jack Nicholson', born:1937})\n",
    "CREATE (DemiM:Person {name:'Demi Moore', born:1962})\n",
    "CREATE (KevinB:Person {name:'Kevin Bacon', born:1958})\n",
    "CREATE (KieferS:Person {name:'Kiefer Sutherland', born:1966})\n",
    "CREATE (NoahW:Person {name:'Noah Wyle', born:1971})\n",
    "CREATE (CubaG:Person {name:'Cuba Gooding Jr.', born:1968})\n",
    "CREATE (KevinP:Person {name:'Kevin Pollak', born:1957})\n",
    "CREATE (JTW:Person {name:'J.T. Walsh', born:1943})\n",
    "CREATE (JamesM:Person {name:'James Marshall', born:1967})\n",
    "CREATE (ChristopherG:Person {name:'Christopher Guest', born:1948})\n",
    "CREATE (RobR:Person {name:'Rob Reiner', born:1947})\n",
    "CREATE (AaronS:Person {name:'Aaron Sorkin', born:1961})\n",
    "CREATE\n",
    "  (TomC)-[:ACTED_IN {roles:['Lt. Daniel Kaffee']}]->(AFewGoodMen),\n",
    "  (JackN)-[:ACTED_IN {roles:['Col. Nathan R. Jessup']}]->(AFewGoodMen),\n",
    "  (DemiM)-[:ACTED_IN {roles:['Lt. Cdr. JoAnne Galloway']}]->(AFewGoodMen),\n",
    "  (KevinB)-[:ACTED_IN {roles:['Capt. Jack Ross']}]->(AFewGoodMen),\n",
    "  (KieferS)-[:ACTED_IN {roles:['Lt. Jonathan Kendrick']}]->(AFewGoodMen),\n",
    "  (NoahW)-[:ACTED_IN {roles:['Cpl. Jeffrey Barnes']}]->(AFewGoodMen),\n",
    "  (CubaG)-[:ACTED_IN {roles:['Cpl. Carl Hammaker']}]->(AFewGoodMen),\n",
    "  (KevinP)-[:ACTED_IN {roles:['Lt. Sam Weinberg']}]->(AFewGoodMen),\n",
    "  (JTW)-[:ACTED_IN {roles:['Lt. Col. Matthew Andrew Markinson']}]->(AFewGoodMen),\n",
    "  (JamesM)-[:ACTED_IN {roles:['Pfc. Louden Downey']}]->(AFewGoodMen),\n",
    "  (ChristopherG)-[:ACTED_IN {roles:['Dr. Stone']}]->(AFewGoodMen),\n",
    "  (AaronS)-[:ACTED_IN {roles:['Man in Bar']}]->(AFewGoodMen),\n",
    "  (RobR)-[:DIRECTED]->(AFewGoodMen),\n",
    "  (AaronS)-[:WROTE]->(AFewGoodMen)\n",
    "\n",
    "CREATE (TopGun:Movie {title:\"Top Gun\", released:1986, tagline:'I feel the need, the need for speed.'})\n",
    "CREATE (KellyM:Person {name:'Kelly McGillis', born:1957})\n",
    "CREATE (ValK:Person {name:'Val Kilmer', born:1959})\n",
    "CREATE (AnthonyE:Person {name:'Anthony Edwards', born:1962})\n",
    "CREATE (TomS:Person {name:'Tom Skerritt', born:1933})\n",
    "CREATE (MegR:Person {name:'Meg Ryan', born:1961})\n",
    "CREATE (TonyS:Person {name:'Tony Scott', born:1944})\n",
    "CREATE (JimC:Person {name:'Jim Cash', born:1941})\n",
    "CREATE\n",
    "  (TomC)-[:ACTED_IN {roles:['Maverick']}]->(TopGun),\n",
    "  (KellyM)-[:ACTED_IN {roles:['Charlie']}]->(TopGun),\n",
    "  (ValK)-[:ACTED_IN {roles:['Iceman']}]->(TopGun),\n",
    "  (AnthonyE)-[:ACTED_IN {roles:['Goose']}]->(TopGun),\n",
    "  (TomS)-[:ACTED_IN {roles:['Viper']}]->(TopGun),\n",
    "  (MegR)-[:ACTED_IN {roles:['Carole']}]->(TopGun),\n",
    "  (TonyS)-[:DIRECTED]->(TopGun),\n",
    "  (JimC)-[:WROTE]->(TopGun)\n",
    "\n",
    "CREATE (JerryMaguire:Movie {title:'Jerry Maguire', released:2000, tagline:'The rest of his life begins now.'})\n",
    "CREATE (ReneeZ:Person {name:'Renee Zellweger', born:1969})\n",
    "CREATE (KellyP:Person {name:'Kelly Preston', born:1962})\n",
    "CREATE (JerryO:Person {name:\"Jerry O'Connell\", born:1974})\n",
    "CREATE (JayM:Person {name:'Jay Mohr', born:1970})\n",
    "CREATE (BonnieH:Person {name:'Bonnie Hunt', born:1961})\n",
    "CREATE (ReginaK:Person {name:'Regina King', born:1971})\n",
    "CREATE (JonathanL:Person {name:'Jonathan Lipnicki', born:1996})\n",
    "CREATE (CameronC:Person {name:'Cameron Crowe', born:1957})\n",
    "CREATE\n",
    "  (TomC)-[:ACTED_IN {roles:['Jerry Maguire']}]->(JerryMaguire),\n",
    "  (CubaG)-[:ACTED_IN {roles:['Rod Tidwell']}]->(JerryMaguire),\n",
    "  (ReneeZ)-[:ACTED_IN {roles:['Dorothy Boyd']}]->(JerryMaguire),\n",
    "  (KellyP)-[:ACTED_IN {roles:['Avery Bishop']}]->(JerryMaguire),\n",
    "  (JerryO)-[:ACTED_IN {roles:['Frank Cushman']}]->(JerryMaguire),\n",
    "  (JayM)-[:ACTED_IN {roles:['Bob Sugar']}]->(JerryMaguire),\n",
    "  (BonnieH)-[:ACTED_IN {roles:['Laurel Boyd']}]->(JerryMaguire),\n",
    "  (ReginaK)-[:ACTED_IN {roles:['Marcee Tidwell']}]->(JerryMaguire),\n",
    "  (JonathanL)-[:ACTED_IN {roles:['Ray Boyd']}]->(JerryMaguire),\n",
    "  (CameronC)-[:DIRECTED]->(JerryMaguire),\n",
    "  (CameronC)-[:PRODUCED]->(JerryMaguire),\n",
    "  (CameronC)-[:WROTE]->(JerryMaguire)\n",
    "\n",
    "CREATE (StandByMe:Movie {title:\"Stand By Me\", released:1986, tagline:\"For some, it's the last real taste of innocence, and the first real taste of life. But for everyone, it's the time that memories are made of.\"})\n",
    "CREATE (RiverP:Person {name:'River Phoenix', born:1970})\n",
    "CREATE (CoreyF:Person {name:'Corey Feldman', born:1971})\n",
    "CREATE (WilW:Person {name:'Wil Wheaton', born:1972})\n",
    "CREATE (JohnC:Person {name:'John Cusack', born:1966})\n",
    "CREATE (MarshallB:Person {name:'Marshall Bell', born:1942})\n",
    "CREATE\n",
    "  (WilW)-[:ACTED_IN {roles:['Gordie Lachance']}]->(StandByMe),\n",
    "  (RiverP)-[:ACTED_IN {roles:['Chris Chambers']}]->(StandByMe),\n",
    "  (JerryO)-[:ACTED_IN {roles:['Vern Tessio']}]->(StandByMe),\n",
    "  (CoreyF)-[:ACTED_IN {roles:['Teddy Duchamp']}]->(StandByMe),\n",
    "  (JohnC)-[:ACTED_IN {roles:['Denny Lachance']}]->(StandByMe),\n",
    "  (KieferS)-[:ACTED_IN {roles:['Ace Merrill']}]->(StandByMe),\n",
    "  (MarshallB)-[:ACTED_IN {roles:['Mr. Lachance']}]->(StandByMe),\n",
    "  (RobR)-[:DIRECTED]->(StandByMe)\n",
    "\n",
    "CREATE (AsGoodAsItGets:Movie {title:'As Good as It Gets', released:1997, tagline:'A comedy from the heart that goes for the throat.'})\n",
    "CREATE (HelenH:Person {name:'Helen Hunt', born:1963})\n",
    "CREATE (GregK:Person {name:'Greg Kinnear', born:1963})\n",
    "CREATE (JamesB:Person {name:'James L. Brooks', born:1940})\n",
    "CREATE\n",
    "  (JackN)-[:ACTED_IN {roles:['Melvin Udall']}]->(AsGoodAsItGets),\n",
    "  (HelenH)-[:ACTED_IN {roles:['Carol Connelly']}]->(AsGoodAsItGets),\n",
    "  (GregK)-[:ACTED_IN {roles:['Simon Bishop']}]->(AsGoodAsItGets),\n",
    "  (CubaG)-[:ACTED_IN {roles:['Frank Sachs']}]->(AsGoodAsItGets),\n",
    "  (JamesB)-[:DIRECTED]->(AsGoodAsItGets)\n",
    "\n",
    "CREATE (WhatDreamsMayCome:Movie {title:'What Dreams May Come', released:1998, tagline:'After life there is more. The end is just the beginning.'})\n",
    "CREATE (AnnabellaS:Person {name:'Annabella Sciorra', born:1960})\n",
    "CREATE (MaxS:Person {name:'Max von Sydow', born:1929})\n",
    "CREATE (WernerH:Person {name:'Werner Herzog', born:1942})\n",
    "CREATE (Robin:Person {name:'Robin Williams', born:1951})\n",
    "CREATE (VincentW:Person {name:'Vincent Ward', born:1956})\n",
    "CREATE\n",
    "  (Robin)-[:ACTED_IN {roles:['Chris Nielsen']}]->(WhatDreamsMayCome),\n",
    "  (CubaG)-[:ACTED_IN {roles:['Albert Lewis']}]->(WhatDreamsMayCome),\n",
    "  (AnnabellaS)-[:ACTED_IN {roles:['Annie Collins-Nielsen']}]->(WhatDreamsMayCome),\n",
    "  (MaxS)-[:ACTED_IN {roles:['The Tracker']}]->(WhatDreamsMayCome),\n",
    "  (WernerH)-[:ACTED_IN {roles:['The Face']}]->(WhatDreamsMayCome),\n",
    "  (VincentW)-[:DIRECTED]->(WhatDreamsMayCome)\n",
    "\n",
    "CREATE (SnowFallingonCedars:Movie {title:'Snow Falling on Cedars', released:1999, tagline:'First loves last. Forever.'})\n",
    "CREATE (EthanH:Person {name:'Ethan Hawke', born:1970})\n",
    "CREATE (RickY:Person {name:'Rick Yune', born:1971})\n",
    "CREATE (JamesC:Person {name:'James Cromwell', born:1940})\n",
    "CREATE (ScottH:Person {name:'Scott Hicks', born:1953})\n",
    "CREATE\n",
    "  (EthanH)-[:ACTED_IN {roles:['Ishmael Chambers']}]->(SnowFallingonCedars),\n",
    "  (RickY)-[:ACTED_IN {roles:['Kazuo Miyamoto']}]->(SnowFallingonCedars),\n",
    "  (MaxS)-[:ACTED_IN {roles:['Nels Gudmundsson']}]->(SnowFallingonCedars),\n",
    "  (JamesC)-[:ACTED_IN {roles:['Judge Fielding']}]->(SnowFallingonCedars),\n",
    "  (ScottH)-[:DIRECTED]->(SnowFallingonCedars)\n",
    "\n",
    "CREATE (YouveGotMail:Movie {title:\"You've Got Mail\", released:1998, tagline:'At odds in life... in love on-line.'})\n",
    "CREATE (ParkerP:Person {name:'Parker Posey', born:1968})\n",
    "CREATE (DaveC:Person {name:'Dave Chappelle', born:1973})\n",
    "CREATE (SteveZ:Person {name:'Steve Zahn', born:1967})\n",
    "CREATE (TomH:Person {name:'Tom Hanks', born:1956})\n",
    "CREATE (NoraE:Person {name:'Nora Ephron', born:1941})\n",
    "CREATE\n",
    "  (TomH)-[:ACTED_IN {roles:['Joe Fox']}]->(YouveGotMail),\n",
    "  (MegR)-[:ACTED_IN {roles:['Kathleen Kelly']}]->(YouveGotMail),\n",
    "  (GregK)-[:ACTED_IN {roles:['Frank Navasky']}]->(YouveGotMail),\n",
    "  (ParkerP)-[:ACTED_IN {roles:['Patricia Eden']}]->(YouveGotMail),\n",
    "  (DaveC)-[:ACTED_IN {roles:['Kevin Jackson']}]->(YouveGotMail),\n",
    "  (SteveZ)-[:ACTED_IN {roles:['George Pappas']}]->(YouveGotMail),\n",
    "  (NoraE)-[:DIRECTED]->(YouveGotMail)\n",
    "\n",
    "CREATE (SleeplessInSeattle:Movie {title:'Sleepless in Seattle', released:1993, tagline:'What if someone you never met, someone you never saw, someone you never knew was the only someone for you?'})\n",
    "CREATE (RitaW:Person {name:'Rita Wilson', born:1956})\n",
    "CREATE (BillPull:Person {name:'Bill Pullman', born:1953})\n",
    "CREATE (VictorG:Person {name:'Victor Garber', born:1949})\n",
    "CREATE (RosieO:Person {name:\"Rosie O'Donnell\", born:1962})\n",
    "CREATE\n",
    "  (TomH)-[:ACTED_IN {roles:['Sam Baldwin']}]->(SleeplessInSeattle),\n",
    "  (MegR)-[:ACTED_IN {roles:['Annie Reed']}]->(SleeplessInSeattle),\n",
    "  (RitaW)-[:ACTED_IN {roles:['Suzy']}]->(SleeplessInSeattle),\n",
    "  (BillPull)-[:ACTED_IN {roles:['Walter']}]->(SleeplessInSeattle),\n",
    "  (VictorG)-[:ACTED_IN {roles:['Greg']}]->(SleeplessInSeattle),\n",
    "  (RosieO)-[:ACTED_IN {roles:['Becky']}]->(SleeplessInSeattle),\n",
    "  (NoraE)-[:DIRECTED]->(SleeplessInSeattle)\n",
    "\n",
    "CREATE (JoeVersustheVolcano:Movie {title:'Joe Versus the Volcano', released:1990, tagline:'A story of love, lava and burning desire.'})\n",
    "CREATE (JohnS:Person {name:'John Patrick Stanley', born:1950})\n",
    "CREATE (Nathan:Person {name:'Nathan Lane', born:1956})\n",
    "CREATE\n",
    "  (TomH)-[:ACTED_IN {roles:['Joe Banks']}]->(JoeVersustheVolcano),\n",
    "  (MegR)-[:ACTED_IN {roles:['DeDe', 'Angelica Graynamore', 'Patricia Graynamore']}]->(JoeVersustheVolcano),\n",
    "  (Nathan)-[:ACTED_IN {roles:['Baw']}]->(JoeVersustheVolcano),\n",
    "  (JohnS)-[:DIRECTED]->(JoeVersustheVolcano)\n",
    "\n",
    "CREATE (WhenHarryMetSally:Movie {title:'When Harry Met Sally', released:1998, tagline:'At odds in life... in love on-line.'})\n",
    "CREATE (BillyC:Person {name:'Billy Crystal', born:1948})\n",
    "CREATE (CarrieF:Person {name:'Carrie Fisher', born:1956})\n",
    "CREATE (BrunoK:Person {name:'Bruno Kirby', born:1949})\n",
    "CREATE\n",
    "  (BillyC)-[:ACTED_IN {roles:['Harry Burns']}]->(WhenHarryMetSally),\n",
    "  (MegR)-[:ACTED_IN {roles:['Sally Albright']}]->(WhenHarryMetSally),\n",
    "  (CarrieF)-[:ACTED_IN {roles:['Marie']}]->(WhenHarryMetSally),\n",
    "  (BrunoK)-[:ACTED_IN {roles:['Jess']}]->(WhenHarryMetSally),\n",
    "  (RobR)-[:DIRECTED]->(WhenHarryMetSally),\n",
    "  (RobR)-[:PRODUCED]->(WhenHarryMetSally),\n",
    "  (NoraE)-[:PRODUCED]->(WhenHarryMetSally),\n",
    "  (NoraE)-[:WROTE]->(WhenHarryMetSally)\n",
    "\n",
    "CREATE (ThatThingYouDo:Movie {title:'That Thing You Do', released:1996, tagline:'In every life there comes a time when that thing you dream becomes that thing you do'})\n",
    "CREATE (LivT:Person {name:'Liv Tyler', born:1977})\n",
    "CREATE\n",
    "  (TomH)-[:ACTED_IN {roles:['Mr. White']}]->(ThatThingYouDo),\n",
    "  (LivT)-[:ACTED_IN {roles:['Faye Dolan']}]->(ThatThingYouDo),\n",
    "  (Charlize)-[:ACTED_IN {roles:['Tina']}]->(ThatThingYouDo),\n",
    "  (TomH)-[:DIRECTED]->(ThatThingYouDo)\n",
    "\n",
    "CREATE (TheReplacements:Movie {title:'The Replacements', released:2000, tagline:'Pain heals, Chicks dig scars... Glory lasts forever'})\n",
    "CREATE (Brooke:Person {name:'Brooke Langton', born:1970})\n",
    "CREATE (Gene:Person {name:'Gene Hackman', born:1930})\n",
    "CREATE (Orlando:Person {name:'Orlando Jones', born:1968})\n",
    "CREATE (Howard:Person {name:'Howard Deutch', born:1950})\n",
    "CREATE\n",
    "  (Keanu)-[:ACTED_IN {roles:['Shane Falco']}]->(TheReplacements),\n",
    "  (Brooke)-[:ACTED_IN {roles:['Annabelle Farrell']}]->(TheReplacements),\n",
    "  (Gene)-[:ACTED_IN {roles:['Jimmy McGinty']}]->(TheReplacements),\n",
    "  (Orlando)-[:ACTED_IN {roles:['Clifford Franklin']}]->(TheReplacements),\n",
    "  (Howard)-[:DIRECTED]->(TheReplacements)\n",
    "\n",
    "CREATE (RescueDawn:Movie {title:'RescueDawn', released:2006, tagline:\"Based on the extraordinary true story of one man's fight for freedom\"})\n",
    "CREATE (ChristianB:Person {name:'Christian Bale', born:1974})\n",
    "CREATE (ZachG:Person {name:'Zach Grenier', born:1954})\n",
    "CREATE\n",
    "  (MarshallB)-[:ACTED_IN {roles:['Admiral']}]->(RescueDawn),\n",
    "  (ChristianB)-[:ACTED_IN {roles:['Dieter Dengler']}]->(RescueDawn),\n",
    "  (ZachG)-[:ACTED_IN {roles:['Squad Leader']}]->(RescueDawn),\n",
    "  (SteveZ)-[:ACTED_IN {roles:['Duane']}]->(RescueDawn),\n",
    "  (WernerH)-[:DIRECTED]->(RescueDawn)\n",
    "\n",
    "CREATE (TheBirdcage:Movie {title:'The Birdcage', released:1996, tagline:'Come as you are'})\n",
    "CREATE (MikeN:Person {name:'Mike Nichols', born:1931})\n",
    "CREATE\n",
    "  (Robin)-[:ACTED_IN {roles:['Armand Goldman']}]->(TheBirdcage),\n",
    "  (Nathan)-[:ACTED_IN {roles:['Albert Goldman']}]->(TheBirdcage),\n",
    "  (Gene)-[:ACTED_IN {roles:['Sen. Kevin Keeley']}]->(TheBirdcage),\n",
    "  (MikeN)-[:DIRECTED]->(TheBirdcage)\n",
    "\n",
    "CREATE (Unforgiven:Movie {title:'Unforgiven', released:1992, tagline:\"It's a hell of a thing, killing a man\"})\n",
    "CREATE (RichardH:Person {name:'Richard Harris', born:1930})\n",
    "CREATE (ClintE:Person {name:'Clint Eastwood', born:1930})\n",
    "CREATE\n",
    "  (RichardH)-[:ACTED_IN {roles:['English Bob']}]->(Unforgiven),\n",
    "  (ClintE)-[:ACTED_IN {roles:['Bill Munny']}]->(Unforgiven),\n",
    "  (Gene)-[:ACTED_IN {roles:['Little Bill Daggett']}]->(Unforgiven),\n",
    "  (ClintE)-[:DIRECTED]->(Unforgiven)\n",
    "\n",
    "CREATE (JohnnyMnemonic:Movie {title:'Johnny Mnemonic', released:1995, tagline:'The hottest data on earth. In the coolest head in town'})\n",
    "CREATE (Takeshi:Person {name:'Takeshi Kitano', born:1947})\n",
    "CREATE (Dina:Person {name:'Dina Meyer', born:1968})\n",
    "CREATE (IceT:Person {name:'Ice-T', born:1958})\n",
    "CREATE (RobertL:Person {name:'Robert Longo', born:1953})\n",
    "CREATE\n",
    "  (Keanu)-[:ACTED_IN {roles:['Johnny Mnemonic']}]->(JohnnyMnemonic),\n",
    "  (Takeshi)-[:ACTED_IN {roles:['Takahashi']}]->(JohnnyMnemonic),\n",
    "  (Dina)-[:ACTED_IN {roles:['Jane']}]->(JohnnyMnemonic),\n",
    "  (IceT)-[:ACTED_IN {roles:['J-Bone']}]->(JohnnyMnemonic),\n",
    "  (RobertL)-[:DIRECTED]->(JohnnyMnemonic)\n",
    "\n",
    "CREATE (CloudAtlas:Movie {title:'Cloud Atlas', released:2012, tagline:'Everything is connected'})\n",
    "CREATE (HalleB:Person {name:'Halle Berry', born:1966})\n",
    "CREATE (JimB:Person {name:'Jim Broadbent', born:1949})\n",
    "CREATE (TomT:Person {name:'Tom Tykwer', born:1965})\n",
    "CREATE (DavidMitchell:Person {name:'David Mitchell', born:1969})\n",
    "CREATE (StefanArndt:Person {name:'Stefan Arndt', born:1961})\n",
    "CREATE\n",
    "  (TomH)-[:ACTED_IN {roles:['Zachry', 'Dr. Henry Goose', 'Isaac Sachs', 'Dermot Hoggins']}]->(CloudAtlas),\n",
    "  (Hugo)-[:ACTED_IN {roles:['Bill Smoke', 'Haskell Moore', 'Tadeusz Kesselring', 'Nurse Noakes', 'Boardman Mephi', 'Old Georgie']}]->(CloudAtlas),\n",
    "  (HalleB)-[:ACTED_IN {roles:['Luisa Rey', 'Jocasta Ayrs', 'Ovid', 'Meronym']}]->(CloudAtlas),\n",
    "  (JimB)-[:ACTED_IN {roles:['Vyvyan Ayrs', 'Captain Molyneux', 'Timothy Cavendish']}]->(CloudAtlas),\n",
    "  (TomT)-[:DIRECTED]->(CloudAtlas),\n",
    "  (LillyW)-[:DIRECTED]->(CloudAtlas),\n",
    "  (LanaW)-[:DIRECTED]->(CloudAtlas),\n",
    "  (DavidMitchell)-[:WROTE]->(CloudAtlas),\n",
    "  (StefanArndt)-[:PRODUCED]->(CloudAtlas)\n",
    "\n",
    "CREATE (TheDaVinciCode:Movie {title:'The Da Vinci Code', released:2006, tagline:'Break The Codes'})\n",
    "CREATE (IanM:Person {name:'Ian McKellen', born:1939})\n",
    "CREATE (AudreyT:Person {name:'Audrey Tautou', born:1976})\n",
    "CREATE (PaulB:Person {name:'Paul Bettany', born:1971})\n",
    "CREATE (RonH:Person {name:'Ron Howard', born:1954})\n",
    "CREATE\n",
    "  (TomH)-[:ACTED_IN {roles:['Dr. Robert Langdon']}]->(TheDaVinciCode),\n",
    "  (IanM)-[:ACTED_IN {roles:['Sir Leight Teabing']}]->(TheDaVinciCode),\n",
    "  (AudreyT)-[:ACTED_IN {roles:['Sophie Neveu']}]->(TheDaVinciCode),\n",
    "  (PaulB)-[:ACTED_IN {roles:['Silas']}]->(TheDaVinciCode),\n",
    "  (RonH)-[:DIRECTED]->(TheDaVinciCode)\n",
    "\n",
    "CREATE (VforVendetta:Movie {title:'V for Vendetta', released:2006, tagline:'Freedom! Forever!'})\n",
    "CREATE (NatalieP:Person {name:'Natalie Portman', born:1981})\n",
    "CREATE (StephenR:Person {name:'Stephen Rea', born:1946})\n",
    "CREATE (JohnH:Person {name:'John Hurt', born:1940})\n",
    "CREATE (BenM:Person {name: 'Ben Miles', born:1967})\n",
    "CREATE\n",
    "  (Hugo)-[:ACTED_IN {roles:['V']}]->(VforVendetta),\n",
    "  (NatalieP)-[:ACTED_IN {roles:['Evey Hammond']}]->(VforVendetta),\n",
    "  (StephenR)-[:ACTED_IN {roles:['Eric Finch']}]->(VforVendetta),\n",
    "  (JohnH)-[:ACTED_IN {roles:['High Chancellor Adam Sutler']}]->(VforVendetta),\n",
    "  (BenM)-[:ACTED_IN {roles:['Dascomb']}]->(VforVendetta),\n",
    "  (JamesM)-[:DIRECTED]->(VforVendetta),\n",
    "  (LillyW)-[:PRODUCED]->(VforVendetta),\n",
    "  (LanaW)-[:PRODUCED]->(VforVendetta),\n",
    "  (JoelS)-[:PRODUCED]->(VforVendetta),\n",
    "  (LillyW)-[:WROTE]->(VforVendetta),\n",
    "  (LanaW)-[:WROTE]->(VforVendetta)\n",
    "\n",
    "CREATE (SpeedRacer:Movie {title:'Speed Racer', released:2008, tagline:'Speed has no limits'})\n",
    "CREATE (EmileH:Person {name:'Emile Hirsch', born:1985})\n",
    "CREATE (JohnG:Person {name:'John Goodman', born:1960})\n",
    "CREATE (SusanS:Person {name:'Susan Sarandon', born:1946})\n",
    "CREATE (MatthewF:Person {name:'Matthew Fox', born:1966})\n",
    "CREATE (ChristinaR:Person {name:'Christina Ricci', born:1980})\n",
    "CREATE (Rain:Person {name:'Rain', born:1982})\n",
    "CREATE\n",
    "  (EmileH)-[:ACTED_IN {roles:['Speed Racer']}]->(SpeedRacer),\n",
    "  (JohnG)-[:ACTED_IN {roles:['Pops']}]->(SpeedRacer),\n",
    "  (SusanS)-[:ACTED_IN {roles:['Mom']}]->(SpeedRacer),\n",
    "  (MatthewF)-[:ACTED_IN {roles:['Racer X']}]->(SpeedRacer),\n",
    "  (ChristinaR)-[:ACTED_IN {roles:['Trixie']}]->(SpeedRacer),\n",
    "  (Rain)-[:ACTED_IN {roles:['Taejo Togokahn']}]->(SpeedRacer),\n",
    "  (BenM)-[:ACTED_IN {roles:['Cass Jones']}]->(SpeedRacer),\n",
    "  (LillyW)-[:DIRECTED]->(SpeedRacer),\n",
    "  (LanaW)-[:DIRECTED]->(SpeedRacer),\n",
    "  (LillyW)-[:WROTE]->(SpeedRacer),\n",
    "  (LanaW)-[:WROTE]->(SpeedRacer),\n",
    "  (JoelS)-[:PRODUCED]->(SpeedRacer)\n",
    "\n",
    "CREATE (NinjaAssassin:Movie {title:'Ninja Assassin', released:2009, tagline:'Prepare to enter a secret world of assassins'})\n",
    "CREATE (NaomieH:Person {name:'Naomie Harris'})\n",
    "CREATE\n",
    "  (Rain)-[:ACTED_IN {roles:['Raizo']}]->(NinjaAssassin),\n",
    "  (NaomieH)-[:ACTED_IN {roles:['Mika Coretti']}]->(NinjaAssassin),\n",
    "  (RickY)-[:ACTED_IN {roles:['Takeshi']}]->(NinjaAssassin),\n",
    "  (BenM)-[:ACTED_IN {roles:['Ryan Maslow']}]->(NinjaAssassin),\n",
    "  (JamesM)-[:DIRECTED]->(NinjaAssassin),\n",
    "  (LillyW)-[:PRODUCED]->(NinjaAssassin),\n",
    "  (LanaW)-[:PRODUCED]->(NinjaAssassin),\n",
    "  (JoelS)-[:PRODUCED]->(NinjaAssassin)\n",
    "\n",
    "CREATE (TheGreenMile:Movie {title:'The Green Mile', released:1999, tagline:\"Walk a mile you'll never forget.\"})\n",
    "CREATE (MichaelD:Person {name:'Michael Clarke Duncan', born:1957})\n",
    "CREATE (DavidM:Person {name:'David Morse', born:1953})\n",
    "CREATE (SamR:Person {name:'Sam Rockwell', born:1968})\n",
    "CREATE (GaryS:Person {name:'Gary Sinise', born:1955})\n",
    "CREATE (PatriciaC:Person {name:'Patricia Clarkson', born:1959})\n",
    "CREATE (FrankD:Person {name:'Frank Darabont', born:1959})\n",
    "CREATE\n",
    "  (TomH)-[:ACTED_IN {roles:['Paul Edgecomb']}]->(TheGreenMile),\n",
    "  (MichaelD)-[:ACTED_IN {roles:['John Coffey']}]->(TheGreenMile),\n",
    "  (DavidM)-[:ACTED_IN {roles:['Brutus \"Brutal\" Howell']}]->(TheGreenMile),\n",
    "  (BonnieH)-[:ACTED_IN {roles:['Jan Edgecomb']}]->(TheGreenMile),\n",
    "  (JamesC)-[:ACTED_IN {roles:['Warden Hal Moores']}]->(TheGreenMile),\n",
    "  (SamR)-[:ACTED_IN {roles:['\"Wild Bill\" Wharton']}]->(TheGreenMile),\n",
    "  (GaryS)-[:ACTED_IN {roles:['Burt Hammersmith']}]->(TheGreenMile),\n",
    "  (PatriciaC)-[:ACTED_IN {roles:['Melinda Moores']}]->(TheGreenMile),\n",
    "  (FrankD)-[:DIRECTED]->(TheGreenMile)\n",
    "\n",
    "CREATE (FrostNixon:Movie {title:'Frost/Nixon', released:2008, tagline:'400 million people were waiting for the truth.'})\n",
    "CREATE (FrankL:Person {name:'Frank Langella', born:1938})\n",
    "CREATE (MichaelS:Person {name:'Michael Sheen', born:1969})\n",
    "CREATE (OliverP:Person {name:'Oliver Platt', born:1960})\n",
    "CREATE\n",
    "  (FrankL)-[:ACTED_IN {roles:['Richard Nixon']}]->(FrostNixon),\n",
    "  (MichaelS)-[:ACTED_IN {roles:['David Frost']}]->(FrostNixon),\n",
    "  (KevinB)-[:ACTED_IN {roles:['Jack Brennan']}]->(FrostNixon),\n",
    "  (OliverP)-[:ACTED_IN {roles:['Bob Zelnick']}]->(FrostNixon),\n",
    "  (SamR)-[:ACTED_IN {roles:['James Reston, Jr.']}]->(FrostNixon),\n",
    "  (RonH)-[:DIRECTED]->(FrostNixon)\n",
    "\n",
    "CREATE (Hoffa:Movie {title:'Hoffa', released:1992, tagline:\"He didn't want law. He wanted justice.\"})\n",
    "CREATE (DannyD:Person {name:'Danny DeVito', born:1944})\n",
    "CREATE (JohnR:Person {name:'John C. Reilly', born:1965})\n",
    "CREATE\n",
    "  (JackN)-[:ACTED_IN {roles:['Hoffa']}]->(Hoffa),\n",
    "  (DannyD)-[:ACTED_IN {roles:['Robert \"Bobby\" Ciaro']}]->(Hoffa),\n",
    "  (JTW)-[:ACTED_IN {roles:['Frank Fitzsimmons']}]->(Hoffa),\n",
    "  (JohnR)-[:ACTED_IN {roles:['Peter \"Pete\" Connelly']}]->(Hoffa),\n",
    "  (DannyD)-[:DIRECTED]->(Hoffa)\n",
    "\n",
    "CREATE (Apollo13:Movie {title:'Apollo 13', released:1995, tagline:'Houston, we have a problem.'})\n",
    "CREATE (EdH:Person {name:'Ed Harris', born:1950})\n",
    "CREATE (BillPax:Person {name:'Bill Paxton', born:1955})\n",
    "CREATE\n",
    "  (TomH)-[:ACTED_IN {roles:['Jim Lovell']}]->(Apollo13),\n",
    "  (KevinB)-[:ACTED_IN {roles:['Jack Swigert']}]->(Apollo13),\n",
    "  (EdH)-[:ACTED_IN {roles:['Gene Kranz']}]->(Apollo13),\n",
    "  (BillPax)-[:ACTED_IN {roles:['Fred Haise']}]->(Apollo13),\n",
    "  (GaryS)-[:ACTED_IN {roles:['Ken Mattingly']}]->(Apollo13),\n",
    "  (RonH)-[:DIRECTED]->(Apollo13)\n",
    "\n",
    "CREATE (Twister:Movie {title:'Twister', released:1996, tagline:\"Don't Breathe. Don't Look Back.\"})\n",
    "CREATE (PhilipH:Person {name:'Philip Seymour Hoffman', born:1967})\n",
    "CREATE (JanB:Person {name:'Jan de Bont', born:1943})\n",
    "CREATE\n",
    "  (BillPax)-[:ACTED_IN {roles:['Bill Harding']}]->(Twister),\n",
    "  (HelenH)-[:ACTED_IN {roles:['Dr. Jo Harding']}]->(Twister),\n",
    "  (ZachG)-[:ACTED_IN {roles:['Eddie']}]->(Twister),\n",
    "  (PhilipH)-[:ACTED_IN {roles:['Dustin \"Dusty\" Davis']}]->(Twister),\n",
    "  (JanB)-[:DIRECTED]->(Twister)\n",
    "\n",
    "CREATE (CastAway:Movie {title:'Cast Away', released:2000, tagline:'At the edge of the world, his journey begins.'})\n",
    "CREATE (RobertZ:Person {name:'Robert Zemeckis', born:1951})\n",
    "CREATE\n",
    "  (TomH)-[:ACTED_IN {roles:['Chuck Noland']}]->(CastAway),\n",
    "  (HelenH)-[:ACTED_IN {roles:['Kelly Frears']}]->(CastAway),\n",
    "  (RobertZ)-[:DIRECTED]->(CastAway)\n",
    "\n",
    "CREATE (OneFlewOvertheCuckoosNest:Movie {title:\"One Flew Over the Cuckoo's Nest\", released:1975, tagline:\"If he's crazy, what does that make you?\"})\n",
    "CREATE (MilosF:Person {name:'Milos Forman', born:1932})\n",
    "CREATE\n",
    "  (JackN)-[:ACTED_IN {roles:['Randle McMurphy']}]->(OneFlewOvertheCuckoosNest),\n",
    "  (DannyD)-[:ACTED_IN {roles:['Martini']}]->(OneFlewOvertheCuckoosNest),\n",
    "  (MilosF)-[:DIRECTED]->(OneFlewOvertheCuckoosNest)\n",
    "\n",
    "CREATE (SomethingsGottaGive:Movie {title:\"Something's Gotta Give\", released:2003})\n",
    "CREATE (DianeK:Person {name:'Diane Keaton', born:1946})\n",
    "CREATE (NancyM:Person {name:'Nancy Meyers', born:1949})\n",
    "CREATE\n",
    "  (JackN)-[:ACTED_IN {roles:['Harry Sanborn']}]->(SomethingsGottaGive),\n",
    "  (DianeK)-[:ACTED_IN {roles:['Erica Barry']}]->(SomethingsGottaGive),\n",
    "  (Keanu)-[:ACTED_IN {roles:['Julian Mercer']}]->(SomethingsGottaGive),\n",
    "  (NancyM)-[:DIRECTED]->(SomethingsGottaGive),\n",
    "  (NancyM)-[:PRODUCED]->(SomethingsGottaGive),\n",
    "  (NancyM)-[:WROTE]->(SomethingsGottaGive)\n",
    "\n",
    "CREATE (BicentennialMan:Movie {title:'Bicentennial Man', released:1999, tagline:\"One robot's 200 year journey to become an ordinary man.\"})\n",
    "CREATE (ChrisC:Person {name:'Chris Columbus', born:1958})\n",
    "CREATE\n",
    "  (Robin)-[:ACTED_IN {roles:['Andrew Marin']}]->(BicentennialMan),\n",
    "  (OliverP)-[:ACTED_IN {roles:['Rupert Burns']}]->(BicentennialMan),\n",
    "  (ChrisC)-[:DIRECTED]->(BicentennialMan)\n",
    "\n",
    "CREATE (CharlieWilsonsWar:Movie {title:\"Charlie Wilson's War\", released:2007, tagline:\"A stiff drink. A little mascara. A lot of nerve. Who said they couldn't bring down the Soviet empire.\"})\n",
    "CREATE (JuliaR:Person {name:'Julia Roberts', born:1967})\n",
    "CREATE\n",
    "  (TomH)-[:ACTED_IN {roles:['Rep. Charlie Wilson']}]->(CharlieWilsonsWar),\n",
    "  (JuliaR)-[:ACTED_IN {roles:['Joanne Herring']}]->(CharlieWilsonsWar),\n",
    "  (PhilipH)-[:ACTED_IN {roles:['Gust Avrakotos']}]->(CharlieWilsonsWar),\n",
    "  (MikeN)-[:DIRECTED]->(CharlieWilsonsWar)\n",
    "\n",
    "CREATE (ThePolarExpress:Movie {title:'The Polar Express', released:2004, tagline:'This Holiday Season… Believe'})\n",
    "CREATE\n",
    "  (TomH)-[:ACTED_IN {roles:['Hero Boy', 'Father', 'Conductor', 'Hobo', 'Scrooge', 'Santa Claus']}]->(ThePolarExpress),\n",
    "  (RobertZ)-[:DIRECTED]->(ThePolarExpress)\n",
    "\n",
    "CREATE (ALeagueofTheirOwn:Movie {title:'A League of Their Own', released:1992, tagline:'Once in a lifetime you get a chance to do something different.'})\n",
    "CREATE (Madonna:Person {name:'Madonna', born:1954})\n",
    "CREATE (GeenaD:Person {name:'Geena Davis', born:1956})\n",
    "CREATE (LoriP:Person {name:'Lori Petty', born:1963})\n",
    "CREATE (PennyM:Person {name:'Penny Marshall', born:1943})\n",
    "CREATE\n",
    "  (TomH)-[:ACTED_IN {roles:['Jimmy Dugan']}]->(ALeagueofTheirOwn),\n",
    "  (GeenaD)-[:ACTED_IN {roles:['Dottie Hinson']}]->(ALeagueofTheirOwn),\n",
    "  (LoriP)-[:ACTED_IN {roles:['Kit Keller']}]->(ALeagueofTheirOwn),\n",
    "  (RosieO)-[:ACTED_IN {roles:['Doris Murphy']}]->(ALeagueofTheirOwn),\n",
    "  (Madonna)-[:ACTED_IN {roles:['\"All the Way\" Mae Mordabito']}]->(ALeagueofTheirOwn),\n",
    "  (BillPax)-[:ACTED_IN {roles:['Bob Hinson']}]->(ALeagueofTheirOwn),\n",
    "  (PennyM)-[:DIRECTED]->(ALeagueofTheirOwn)\n",
    "\n",
    "CREATE (PaulBlythe:Person {name:'Paul Blythe'})\n",
    "CREATE (AngelaScope:Person {name:'Angela Scope'})\n",
    "CREATE (JessicaThompson:Person {name:'Jessica Thompson'})\n",
    "CREATE (JamesThompson:Person {name:'James Thompson'})\n",
    "\n",
    "CREATE\n",
    "  (JamesThompson)-[:FOLLOWS]->(JessicaThompson),\n",
    "  (AngelaScope)-[:FOLLOWS]->(JessicaThompson),\n",
    "  (PaulBlythe)-[:FOLLOWS]->(AngelaScope)\n",
    "\n",
    "CREATE\n",
    "  (JessicaThompson)-[:REVIEWED {summary:'An amazing journey', rating:95}]->(CloudAtlas),\n",
    "  (JessicaThompson)-[:REVIEWED {summary:'Silly, but fun', rating:65}]->(TheReplacements),\n",
    "  (JamesThompson)-[:REVIEWED {summary:'The coolest football movie ever', rating:100}]->(TheReplacements),\n",
    "  (AngelaScope)-[:REVIEWED {summary:'Pretty funny at times', rating:62}]->(TheReplacements),\n",
    "  (JessicaThompson)-[:REVIEWED {summary:'Dark, but compelling', rating:85}]->(Unforgiven),\n",
    "  (JessicaThompson)-[:REVIEWED {summary:\"Slapstick redeemed only by the Robin Williams and Gene Hackman's stellar performances\", rating:45}]->(TheBirdcage),\n",
    "  (JessicaThompson)-[:REVIEWED {summary:'A solid romp', rating:68}]->(TheDaVinciCode),\n",
    "  (JamesThompson)-[:REVIEWED {summary:'Fun, but a little far fetched', rating:65}]->(TheDaVinciCode),\n",
    "  (JessicaThompson)-[:REVIEWED {summary:'You had me at Jerry', rating:92}]->(JerryMaguire)\n",
    "\n",
    ";"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Queries"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Find all actors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5 rows affected.\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "    <tr>\n",
       "        <th>Actor</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>Aaron Sorkin</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>Al Pacino</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>Angela Scope</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>Annabella Sciorra</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>Anthony Edwards</td>\n",
       "    </tr>\n",
       "</table>"
      ],
      "text/plain": [
       "[['Aaron Sorkin'],\n",
       " ['Al Pacino'],\n",
       " ['Angela Scope'],\n",
       " ['Annabella Sciorra'],\n",
       " ['Anthony Edwards']]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%%cypher\n",
    "\n",
    "MATCH (a:Person)\n",
    "RETURN DISTINCT a.name AS Actor\n",
    "ORDER BY a.name\n",
    "LIMIT 5"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Find all movies"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5 rows affected.\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "    <tr>\n",
       "        <th>Movie</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>A Few Good Men</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>A League of Their Own</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>Apollo 13</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>As Good as It Gets</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>Bicentennial Man</td>\n",
       "    </tr>\n",
       "</table>"
      ],
      "text/plain": [
       "[['A Few Good Men'],\n",
       " ['A League of Their Own'],\n",
       " ['Apollo 13'],\n",
       " ['As Good as It Gets'],\n",
       " ['Bicentennial Man']]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%%cypher\n",
    "\n",
    "MATCH (m:Movie)\n",
    "RETURN DISTINCT m.title AS Movie\n",
    "ORDER BY m.title\n",
    "LIMIT 5"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Find movies that Keanu Reeeves acted in"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "7 rows affected.\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "    <tr>\n",
       "        <th>m.title</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>Something&#x27;s Gotta Give</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>Johnny Mnemonic</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>The Replacements</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>The Devil&#x27;s Advocate</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>The Matrix Revolutions</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>The Matrix Reloaded</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>The Matrix</td>\n",
       "    </tr>\n",
       "</table>"
      ],
      "text/plain": [
       "[[\"Something's Gotta Give\"],\n",
       " ['Johnny Mnemonic'],\n",
       " ['The Replacements'],\n",
       " [\"The Devil's Advocate\"],\n",
       " ['The Matrix Revolutions'],\n",
       " ['The Matrix Reloaded'],\n",
       " ['The Matrix']]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%%cypher\n",
    "\n",
    "MATCH (p:Person) -[:ACTED_IN]-> (m:Movie)\n",
    "WHERE p.name = 'Keanu Reeves'\n",
    "RETURN DISTINCT m.title"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Find movies that Keanu Reeves and Al Pacino both acted in"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 rows affected.\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "    <tr>\n",
       "        <th>m.title</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>The Devil&#x27;s Advocate</td>\n",
       "    </tr>\n",
       "</table>"
      ],
      "text/plain": [
       "[[\"The Devil's Advocate\"]]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%%cypher\n",
    "\n",
    "MATCH (p1:Person) -[:ACTED_IN]-> (m:Movie) <-[:ACTED_IN]- (p2:Person)\n",
    "WHERE p1.name = 'Keanu Reeves' AND p2.name = 'Al Pacino'\n",
    "RETURN DISTINCT m.title"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### More efficient to use attributes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 rows affected.\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "    <tr>\n",
       "        <th>m.title</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>The Devil&#x27;s Advocate</td>\n",
       "    </tr>\n",
       "</table>"
      ],
      "text/plain": [
       "[[\"The Devil's Advocate\"]]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%%cypher\n",
    "\n",
    "MATCH (p1:Person {name: 'Keanu Reeves'}) -[:ACTED_IN]-> (m:Movie) <-[:ACTED_IN]- (p2:Person {name: 'Al Pacino'})\n",
    "RETURN DISTINCT m.title"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Find people who acted in Johnny Mnemonic"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4 rows affected.\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "    <tr>\n",
       "        <th>p.name</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>Dina Meyer</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>Ice-T</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>Keanu Reeves</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>Takeshi Kitano</td>\n",
       "    </tr>\n",
       "</table>"
      ],
      "text/plain": [
       "[['Dina Meyer'], ['Ice-T'], ['Keanu Reeves'], ['Takeshi Kitano']]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%%cypher\n",
    "\n",
    "MATCH (m:Movie {title: 'Johnny Mnemonic'}) <-[:ACTED_IN]- (p:Person)\n",
    "RETURN p.name"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Find oldest actor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 rows affected.\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "    <tr>\n",
       "        <th>p.name</th>\n",
       "        <th>p.born</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>Max von Sydow</td>\n",
       "        <td>1929</td>\n",
       "    </tr>\n",
       "</table>"
      ],
      "text/plain": [
       "[['Max von Sydow', 1929]]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%%cypher\n",
    "\n",
    "MATCH (p:Person) -[:ACTED_IN]-> (:Movie) \n",
    "WHERE EXISTS(p.born)\n",
    "RETURN DISTINCT p.name, p.born\n",
    "ORDER BY p.born ASC\n",
    "limit 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Find youngest actor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 rows affected.\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "    <tr>\n",
       "        <th>p.name</th>\n",
       "        <th>p.born</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>Jonathan Lipnicki</td>\n",
       "        <td>1996</td>\n",
       "    </tr>\n",
       "</table>"
      ],
      "text/plain": [
       "[['Jonathan Lipnicki', 1996]]"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%%cypher\n",
    "\n",
    "MATCH (p:Person) -[:ACTED_IN]-> (:Movie) \n",
    "WHERE EXISTS(p.born)\n",
    "RETURN DISTINCT p.name, p.born\n",
    "ORDER BY p.born DESC\n",
    "limit 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Find shortest path between oldest and youngest actor"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 rows affected.\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "    <tr>\n",
       "        <th>p</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "        <td>[{&#x27;name&#x27;: &#x27;Max von Sydow&#x27;, &#x27;born&#x27;: 1929}, {&#x27;roles&#x27;: [&#x27;The Tracker&#x27;]}, {&#x27;released&#x27;: 1998, &#x27;tagline&#x27;: &#x27;After life there is more. The end is just the beginning.&#x27;, &#x27;title&#x27;: &#x27;What Dreams May Come&#x27;}, {&#x27;roles&#x27;: [&#x27;Albert Lewis&#x27;]}, {&#x27;name&#x27;: &#x27;Cuba Gooding Jr.&#x27;, &#x27;born&#x27;: 1968}, {&#x27;roles&#x27;: [&#x27;Rod Tidwell&#x27;]}, {&#x27;released&#x27;: 2000, &#x27;tagline&#x27;: &#x27;The rest of his life begins now.&#x27;, &#x27;title&#x27;: &#x27;Jerry Maguire&#x27;}, {&#x27;roles&#x27;: [&#x27;Ray Boyd&#x27;]}, {&#x27;name&#x27;: &#x27;Jonathan Lipnicki&#x27;, &#x27;born&#x27;: 1996}]</td>\n",
       "    </tr>\n",
       "</table>"
      ],
      "text/plain": [
       "[[[{'born': 1929, 'name': 'Max von Sydow'},\n",
       "   {'roles': ['The Tracker']},\n",
       "   {'released': 1998,\n",
       "    'tagline': 'After life there is more. The end is just the beginning.',\n",
       "    'title': 'What Dreams May Come'},\n",
       "   {'roles': ['Albert Lewis']},\n",
       "   {'born': 1968, 'name': 'Cuba Gooding Jr.'},\n",
       "   {'roles': ['Rod Tidwell']},\n",
       "   {'released': 2000,\n",
       "    'tagline': 'The rest of his life begins now.',\n",
       "    'title': 'Jerry Maguire'},\n",
       "   {'roles': ['Ray Boyd']},\n",
       "   {'born': 1996, 'name': 'Jonathan Lipnicki'}]]]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%%cypher\n",
    "\n",
    "MATCH p=shortestPath(\n",
    "  (:Person {name:\"Max von Sydow\"})-[*]-(:Person {name:\"Jonathan Lipnicki\"})\n",
    ")\n",
    "RETURN p"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Store result in Python variable"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 rows affected.\n"
     ]
    }
   ],
   "source": [
    "paths = %cypher MATCH p=shortestPath((:Person {name:\"Max von Sydow\"})-[*]-(:Person {name:\"Jonathan Lipnicki\"})) RETURN DISTINCT p"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(paths)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[{'born': 1929, 'name': 'Max von Sydow'},\n",
      "  {'roles': ['The Tracker']},\n",
      "  {'released': 1998,\n",
      "   'tagline': 'After life there is more. The end is just the beginning.',\n",
      "   'title': 'What Dreams May Come'},\n",
      "  {'roles': ['Albert Lewis']},\n",
      "  {'born': 1968, 'name': 'Cuba Gooding Jr.'},\n",
      "  {'roles': ['Rod Tidwell']},\n",
      "  {'released': 2000,\n",
      "   'tagline': 'The rest of his life begins now.',\n",
      "   'title': 'Jerry Maguire'},\n",
      "  {'roles': ['Ray Boyd']},\n",
      "  {'born': 1996, 'name': 'Jonathan Lipnicki'}]]\n"
     ]
    }
   ],
   "source": [
    "for p in paths:\n",
    "    pprint(p)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Delete all notes and relationships"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "253 relationship deleted.\n",
      "171 nodes deleted.\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "    <tr>\n",
       "    </tr>\n",
       "</table>"
      ],
      "text/plain": [
       "[]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%%cypher\n",
    "\n",
    "MATCH (n)\n",
    "DETACH DELETE n"
   ]
  }
 ],
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