ex01_6.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Graph algorithms with `networkx`\n",
    "\n",
    "Once we have linked data represented as a KG, we can begin to use *graph algorithms* and *network analysis* on the data.\n",
    "Perhaps the most famous of these is [PageRank](http://ilpubs.stanford.edu:8090/422/1/1999-66.pdf) which helped launch Google, also known as a stochastic variant of *eigenvector centrality*.\n",
    "\n",
    "We'll use the [`networkx`](https://networkx.org/) library to run graph algorithms, since `rdflib` lacks support for this.\n",
    "Note that `networkx` requires its own graph representation in memory, where there is a relatively simplified structure of the KG.\n",
    "For example, in `networkx` there is one edge that connects two nodes, while in `rdflib` there can be multiple relations (predicates) between RDF subjects and objects.\n",
    "\n",
    "Based on a branch of mathematics related to linear algebra called [*algebraic graph theory*](https://en.wikipedia.org/wiki/Algebraic_graph_theory), it's possible to convert between a simplified graph (such as in `networkx`) and its matrix representation.\n",
    "Then many of the popular graph algorithms can be optimized in terms of matrix operations – often leading to orders of magnitude in performance increases.\n",
    "Many of the algorithms implemented within `networkx` rely on these matrix transforms.\n",
    "In contrast, the more general form of mathematics for representing complex graphs and networks involves using [*tensors*](https://en.wikipedia.org/wiki/Tensor) instead of matrices.\n",
    "For example, you may have heard that word `tensor` used in association with neural networks?\n",
    "\n",
    "See also:\n",
    "\n",
    "  * <https://towardsdatascience.com/10-graph-algorithms-visually-explained-e57faa1336f3>\n",
    "  * <https://web.stanford.edu/class/cs97si/06-basic-graph-algorithms.pdf>\n",
    "  * <https://networkx.org/documentation/stable/reference/algorithms/index.html>\n",
    "  \n",
    "  \n",
    "The `kglab` library converts from `rdflib` representation into `networkx`, then helps convert back the results from graph algorithm analysis.\n",
    "In that case, we must choose which relations to include in our analysis."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To start, let's load our recipe KG:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import kglab\n",
    "\n",
    "namespaces = {\n",
    "    \"wtm\": \"http://purl.org/heals/food/\",\n",
    "    \"ind\": \"http://purl.org/heals/ingredient/\",\n",
    "    \"nom\": \"https://github.com/DerwenAI/kglab/wiki/Vocab#\",\n",
    "    }\n",
    "\n",
    "kg = kglab.KnowledgeGraph(\n",
    "    name = \"A recipe KG example based on Food.com\",\n",
    "    base_uri = \"https://www.food.com/recipe/\",\n",
    "    language = \"en\",\n",
    "    namespaces = namespaces,\n",
    "    )\n",
    "\n",
    "kg.load_ttl(\"tmp.ttl\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we'll run a SPARQL query to build a *subgraph* of recipe URLs and their related ingredients.\n",
    "In other words, let's start with a relatively simple graph to illustrate some graph algorithms:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "query = \"\"\"\n",
    "    SELECT ?rec ?ind\n",
    "    WHERE {\n",
    "        ?rec rdf:type wtm:Recipe .\n",
    "        ?rec wtm:hasIngredient ?ind .\n",
    "    }\n",
    "        \"\"\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, we'll use result set from query to load the `networkx` graph:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0: <https://www.food.com/recipe/258265>\n",
      " 1: ind:Water\n",
      "\n",
      "0: <https://www.food.com/recipe/258265>\n",
      " 2: ind:WholeWheatFlour\n",
      "\n",
      "3: <https://www.food.com/recipe/16051>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "3: <https://www.food.com/recipe/16051>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "3: <https://www.food.com/recipe/16051>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "3: <https://www.food.com/recipe/16051>\n",
      " 7: ind:Salt\n",
      "\n",
      "8: <https://www.food.com/recipe/96087>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "8: <https://www.food.com/recipe/96087>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "8: <https://www.food.com/recipe/96087>\n",
      " 7: ind:Salt\n",
      "\n",
      "8: <https://www.food.com/recipe/96087>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "9: <https://www.food.com/recipe/220141>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "9: <https://www.food.com/recipe/220141>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "9: <https://www.food.com/recipe/220141>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "10: <https://www.food.com/recipe/358993>\n",
      " 11: ind:Butter\n",
      "\n",
      "10: <https://www.food.com/recipe/358993>\n",
      " 12: ind:Garlic\n",
      "\n",
      "13: <https://www.food.com/recipe/441475>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "13: <https://www.food.com/recipe/441475>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "13: <https://www.food.com/recipe/441475>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "13: <https://www.food.com/recipe/441475>\n",
      " 7: ind:Salt\n",
      "\n",
      "13: <https://www.food.com/recipe/441475>\n",
      " 1: ind:Water\n",
      "\n",
      "14: <https://www.food.com/recipe/235671>\n",
      " 1: ind:Water\n",
      "\n",
      "14: <https://www.food.com/recipe/235671>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "14: <https://www.food.com/recipe/235671>\n",
      " 7: ind:Salt\n",
      "\n",
      "15: <https://www.food.com/recipe/124131>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "15: <https://www.food.com/recipe/124131>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "15: <https://www.food.com/recipe/124131>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "15: <https://www.food.com/recipe/124131>\n",
      " 1: ind:Water\n",
      "\n",
      "15: <https://www.food.com/recipe/124131>\n",
      " 7: ind:Salt\n",
      "\n",
      "16: <https://www.food.com/recipe/61633>\n",
      " 12: ind:Garlic\n",
      "\n",
      "16: <https://www.food.com/recipe/61633>\n",
      " 17: ind:OliveOil\n",
      "\n",
      "18: <https://www.food.com/recipe/168150>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "18: <https://www.food.com/recipe/168150>\n",
      " 11: ind:Butter\n",
      "\n",
      "19: <https://www.food.com/recipe/229516>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "19: <https://www.food.com/recipe/229516>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "19: <https://www.food.com/recipe/229516>\n",
      " 1: ind:Water\n",
      "\n",
      "20: <https://www.food.com/recipe/261361>\n",
      " 1: ind:Water\n",
      "\n",
      "20: <https://www.food.com/recipe/261361>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "20: <https://www.food.com/recipe/261361>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "20: <https://www.food.com/recipe/261361>\n",
      " 7: ind:Salt\n",
      "\n",
      "21: <https://www.food.com/recipe/284518>\n",
      " 22: ind:AppleCiderVinegar\n",
      "\n",
      "21: <https://www.food.com/recipe/284518>\n",
      " 7: ind:Salt\n",
      "\n",
      "21: <https://www.food.com/recipe/284518>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "21: <https://www.food.com/recipe/284518>\n",
      " 1: ind:Water\n",
      "\n",
      "23: <https://www.food.com/recipe/109196>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "23: <https://www.food.com/recipe/109196>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "23: <https://www.food.com/recipe/109196>\n",
      " 11: ind:Butter\n",
      "\n",
      "23: <https://www.food.com/recipe/109196>\n",
      " 1: ind:Water\n",
      "\n",
      "23: <https://www.food.com/recipe/109196>\n",
      " 7: ind:Salt\n",
      "\n",
      "24: <https://www.food.com/recipe/171106>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "24: <https://www.food.com/recipe/171106>\n",
      " 17: ind:OliveOil\n",
      "\n",
      "24: <https://www.food.com/recipe/171106>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "24: <https://www.food.com/recipe/171106>\n",
      " 7: ind:Salt\n",
      "\n",
      "24: <https://www.food.com/recipe/171106>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "25: <https://www.food.com/recipe/157638>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "25: <https://www.food.com/recipe/157638>\n",
      " 11: ind:Butter\n",
      "\n",
      "25: <https://www.food.com/recipe/157638>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "25: <https://www.food.com/recipe/157638>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "25: <https://www.food.com/recipe/157638>\n",
      " 7: ind:Salt\n",
      "\n",
      "26: <https://www.food.com/recipe/220361>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "26: <https://www.food.com/recipe/220361>\n",
      " 11: ind:Butter\n",
      "\n",
      "26: <https://www.food.com/recipe/220361>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "26: <https://www.food.com/recipe/220361>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "26: <https://www.food.com/recipe/220361>\n",
      " 7: ind:Salt\n",
      "\n",
      "26: <https://www.food.com/recipe/220361>\n",
      " 1: ind:Water\n",
      "\n",
      "27: <https://www.food.com/recipe/458>\n",
      " 7: ind:Salt\n",
      "\n",
      "27: <https://www.food.com/recipe/458>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "27: <https://www.food.com/recipe/458>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "27: <https://www.food.com/recipe/458>\n",
      " 11: ind:Butter\n",
      "\n",
      "27: <https://www.food.com/recipe/458>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "28: <https://www.food.com/recipe/103073>\n",
      " 7: ind:Salt\n",
      "\n",
      "28: <https://www.food.com/recipe/103073>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "28: <https://www.food.com/recipe/103073>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "28: <https://www.food.com/recipe/103073>\n",
      " 11: ind:Butter\n",
      "\n",
      "28: <https://www.food.com/recipe/103073>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "29: <https://www.food.com/recipe/320154>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "29: <https://www.food.com/recipe/320154>\n",
      " 1: ind:Water\n",
      "\n",
      "29: <https://www.food.com/recipe/320154>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "29: <https://www.food.com/recipe/320154>\n",
      " 7: ind:Salt\n",
      "\n",
      "30: <https://www.food.com/recipe/210046>\n",
      " 12: ind:Garlic\n",
      "\n",
      "30: <https://www.food.com/recipe/210046>\n",
      " 17: ind:OliveOil\n",
      "\n",
      "31: <https://www.food.com/recipe/251602>\n",
      " 12: ind:Garlic\n",
      "\n",
      "31: <https://www.food.com/recipe/251602>\n",
      " 22: ind:AppleCiderVinegar\n",
      "\n",
      "32: <https://www.food.com/recipe/120884>\n",
      " 11: ind:Butter\n",
      "\n",
      "32: <https://www.food.com/recipe/120884>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "32: <https://www.food.com/recipe/120884>\n",
      " 7: ind:Salt\n",
      "\n",
      "32: <https://www.food.com/recipe/120884>\n",
      " 33: ind:BlackPepper\n",
      "\n",
      "32: <https://www.food.com/recipe/120884>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "32: <https://www.food.com/recipe/120884>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "34: <https://www.food.com/recipe/137046>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "34: <https://www.food.com/recipe/137046>\n",
      " 33: ind:BlackPepper\n",
      "\n",
      "34: <https://www.food.com/recipe/137046>\n",
      " 7: ind:Salt\n",
      "\n",
      "34: <https://www.food.com/recipe/137046>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "34: <https://www.food.com/recipe/137046>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "34: <https://www.food.com/recipe/137046>\n",
      " 11: ind:Butter\n",
      "\n",
      "35: <https://www.food.com/recipe/409347>\n",
      " 1: ind:Water\n",
      "\n",
      "35: <https://www.food.com/recipe/409347>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "36: <https://www.food.com/recipe/105830>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "36: <https://www.food.com/recipe/105830>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "36: <https://www.food.com/recipe/105830>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "36: <https://www.food.com/recipe/105830>\n",
      " 7: ind:Salt\n",
      "\n",
      "37: <https://www.food.com/recipe/531398>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "37: <https://www.food.com/recipe/531398>\n",
      " 1: ind:Water\n",
      "\n",
      "38: <https://www.food.com/recipe/475026>\n",
      " 1: ind:Water\n",
      "\n",
      "38: <https://www.food.com/recipe/475026>\n",
      " 12: ind:Garlic\n",
      "\n",
      "39: <https://www.food.com/recipe/497916>\n",
      " 11: ind:Butter\n",
      "\n",
      "39: <https://www.food.com/recipe/497916>\n",
      " 40: ind:Honey\n",
      "\n",
      "41: <https://www.food.com/recipe/225178>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "41: <https://www.food.com/recipe/225178>\n",
      " 11: ind:Butter\n",
      "\n",
      "42: <https://www.food.com/recipe/440609>\n",
      " 11: ind:Butter\n",
      "\n",
      "42: <https://www.food.com/recipe/440609>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "42: <https://www.food.com/recipe/440609>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "43: <https://www.food.com/recipe/279314>\n",
      " 1: ind:Water\n",
      "\n",
      "43: <https://www.food.com/recipe/279314>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "43: <https://www.food.com/recipe/279314>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "43: <https://www.food.com/recipe/279314>\n",
      " 11: ind:Butter\n",
      "\n",
      "44: <https://www.food.com/recipe/77354>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "44: <https://www.food.com/recipe/77354>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "44: <https://www.food.com/recipe/77354>\n",
      " 1: ind:Water\n",
      "\n",
      "44: <https://www.food.com/recipe/77354>\n",
      " 7: ind:Salt\n",
      "\n",
      "45: <https://www.food.com/recipe/232248>\n",
      " 7: ind:Salt\n",
      "\n",
      "45: <https://www.food.com/recipe/232248>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "45: <https://www.food.com/recipe/232248>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "45: <https://www.food.com/recipe/232248>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "46: <https://www.food.com/recipe/25168>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "46: <https://www.food.com/recipe/25168>\n",
      " 22: ind:AppleCiderVinegar\n",
      "\n",
      "47: <https://www.food.com/recipe/24799>\n",
      " 1: ind:Water\n",
      "\n",
      "47: <https://www.food.com/recipe/24799>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "48: <https://www.food.com/recipe/438738>\n",
      " 11: ind:Butter\n",
      "\n",
      "48: <https://www.food.com/recipe/438738>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "48: <https://www.food.com/recipe/438738>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "48: <https://www.food.com/recipe/438738>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "49: <https://www.food.com/recipe/511497>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "49: <https://www.food.com/recipe/511497>\n",
      " 7: ind:Salt\n",
      "\n",
      "49: <https://www.food.com/recipe/511497>\n",
      " 1: ind:Water\n",
      "\n",
      "50: <https://www.food.com/recipe/470634>\n",
      " 7: ind:Salt\n",
      "\n",
      "50: <https://www.food.com/recipe/470634>\n",
      " 33: ind:BlackPepper\n",
      "\n",
      "50: <https://www.food.com/recipe/470634>\n",
      " 11: ind:Butter\n",
      "\n",
      "50: <https://www.food.com/recipe/470634>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "51: <https://www.food.com/recipe/252783>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "51: <https://www.food.com/recipe/252783>\n",
      " 11: ind:Butter\n",
      "\n",
      "51: <https://www.food.com/recipe/252783>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "51: <https://www.food.com/recipe/252783>\n",
      " 7: ind:Salt\n",
      "\n",
      "51: <https://www.food.com/recipe/252783>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "52: <https://www.food.com/recipe/299759>\n",
      " 17: ind:OliveOil\n",
      "\n",
      "52: <https://www.food.com/recipe/299759>\n",
      " 1: ind:Water\n",
      "\n",
      "52: <https://www.food.com/recipe/299759>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "53: <https://www.food.com/recipe/327593>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "53: <https://www.food.com/recipe/327593>\n",
      " 2: ind:WholeWheatFlour\n",
      "\n",
      "53: <https://www.food.com/recipe/327593>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "54: <https://www.food.com/recipe/255748>\n",
      " 7: ind:Salt\n",
      "\n",
      "54: <https://www.food.com/recipe/255748>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "54: <https://www.food.com/recipe/255748>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "54: <https://www.food.com/recipe/255748>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "55: <https://www.food.com/recipe/75949>\n",
      " 7: ind:Salt\n",
      "\n",
      "55: <https://www.food.com/recipe/75949>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "55: <https://www.food.com/recipe/75949>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "55: <https://www.food.com/recipe/75949>\n",
      " 11: ind:Butter\n",
      "\n",
      "55: <https://www.food.com/recipe/75949>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "56: <https://www.food.com/recipe/157688>\n",
      " 7: ind:Salt\n",
      "\n",
      "56: <https://www.food.com/recipe/157688>\n",
      " 1: ind:Water\n",
      "\n",
      "57: <https://www.food.com/recipe/60149>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "57: <https://www.food.com/recipe/60149>\n",
      " 7: ind:Salt\n",
      "\n",
      "57: <https://www.food.com/recipe/60149>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "57: <https://www.food.com/recipe/60149>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "58: <https://www.food.com/recipe/264735>\n",
      " 11: ind:Butter\n",
      "\n",
      "58: <https://www.food.com/recipe/264735>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "58: <https://www.food.com/recipe/264735>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "58: <https://www.food.com/recipe/264735>\n",
      " 7: ind:Salt\n",
      "\n",
      "59: <https://www.food.com/recipe/153034>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "60: <https://www.food.com/recipe/382101>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "60: <https://www.food.com/recipe/382101>\n",
      " 7: ind:Salt\n",
      "\n",
      "60: <https://www.food.com/recipe/382101>\n",
      " 1: ind:Water\n",
      "\n",
      "61: <https://www.food.com/recipe/31540>\n",
      " 7: ind:Salt\n",
      "\n",
      "61: <https://www.food.com/recipe/31540>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "61: <https://www.food.com/recipe/31540>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "61: <https://www.food.com/recipe/31540>\n",
      " 11: ind:Butter\n",
      "\n",
      "61: <https://www.food.com/recipe/31540>\n",
      " 33: ind:BlackPepper\n",
      "\n",
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      " 6: ind:ChickenEgg\n",
      "\n",
      "62: <https://www.food.com/recipe/489>\n",
      " 7: ind:Salt\n",
      "\n",
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      " 5: ind:AllPurposeFlour\n",
      "\n",
      "62: <https://www.food.com/recipe/489>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "62: <https://www.food.com/recipe/489>\n",
      " 11: ind:Butter\n",
      "\n",
      "63: <https://www.food.com/recipe/302972>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "63: <https://www.food.com/recipe/302972>\n",
      " 1: ind:Water\n",
      "\n",
      "64: <https://www.food.com/recipe/324267>\n",
      " 11: ind:Butter\n",
      "\n",
      "64: <https://www.food.com/recipe/324267>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "64: <https://www.food.com/recipe/324267>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "64: <https://www.food.com/recipe/324267>\n",
      " 7: ind:Salt\n",
      "\n",
      "65: <https://www.food.com/recipe/398819>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "65: <https://www.food.com/recipe/398819>\n",
      " 11: ind:Butter\n",
      "\n",
      "66: <https://www.food.com/recipe/4643>\n",
      " 7: ind:Salt\n",
      "\n",
      "66: <https://www.food.com/recipe/4643>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "66: <https://www.food.com/recipe/4643>\n",
      " 11: ind:Butter\n",
      "\n",
      "66: <https://www.food.com/recipe/4643>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "66: <https://www.food.com/recipe/4643>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "67: <https://www.food.com/recipe/425229>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "67: <https://www.food.com/recipe/425229>\n",
      " 22: ind:AppleCiderVinegar\n",
      "\n",
      "68: <https://www.food.com/recipe/148900>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "68: <https://www.food.com/recipe/148900>\n",
      " 7: ind:Salt\n",
      "\n",
      "68: <https://www.food.com/recipe/148900>\n",
      " 1: ind:Water\n",
      "\n",
      "68: <https://www.food.com/recipe/148900>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "68: <https://www.food.com/recipe/148900>\n",
      " 17: ind:OliveOil\n",
      "\n",
      "69: <https://www.food.com/recipe/21301>\n",
      " 11: ind:Butter\n",
      "\n",
      "69: <https://www.food.com/recipe/21301>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "69: <https://www.food.com/recipe/21301>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "69: <https://www.food.com/recipe/21301>\n",
      " 7: ind:Salt\n",
      "\n",
      "70: <https://www.food.com/recipe/257753>\n",
      " 11: ind:Butter\n",
      "\n",
      "70: <https://www.food.com/recipe/257753>\n",
      " 40: ind:Honey\n",
      "\n",
      "71: <https://www.food.com/recipe/358908>\n",
      " 7: ind:Salt\n",
      "\n",
      "71: <https://www.food.com/recipe/358908>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "71: <https://www.food.com/recipe/358908>\n",
      " 1: ind:Water\n",
      "\n",
      "71: <https://www.food.com/recipe/358908>\n",
      " 11: ind:Butter\n",
      "\n",
      "71: <https://www.food.com/recipe/358908>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "72: <https://www.food.com/recipe/152895>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "72: <https://www.food.com/recipe/152895>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "72: <https://www.food.com/recipe/152895>\n",
      " 11: ind:Butter\n",
      "\n",
      "72: <https://www.food.com/recipe/152895>\n",
      " 7: ind:Salt\n",
      "\n",
      "73: <https://www.food.com/recipe/280471>\n",
      " 1: ind:Water\n",
      "\n",
      "73: <https://www.food.com/recipe/280471>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "74: <https://www.food.com/recipe/399>\n",
      " 7: ind:Salt\n",
      "\n",
      "74: <https://www.food.com/recipe/399>\n",
      " 1: ind:Water\n",
      "\n",
      "74: <https://www.food.com/recipe/399>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "74: <https://www.food.com/recipe/399>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "75: <https://www.food.com/recipe/64854>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "75: <https://www.food.com/recipe/64854>\n",
      " 1: ind:Water\n",
      "\n",
      "76: <https://www.food.com/recipe/127989>\n",
      " 11: ind:Butter\n",
      "\n",
      "76: <https://www.food.com/recipe/127989>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "76: <https://www.food.com/recipe/127989>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "76: <https://www.food.com/recipe/127989>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "77: <https://www.food.com/recipe/72402>\n",
      " 12: ind:Garlic\n",
      "\n",
      "77: <https://www.food.com/recipe/72402>\n",
      " 17: ind:OliveOil\n",
      "\n",
      "77: <https://www.food.com/recipe/72402>\n",
      " 1: ind:Water\n",
      "\n",
      "78: <https://www.food.com/recipe/160402>\n",
      " 33: ind:BlackPepper\n",
      "\n",
      "78: <https://www.food.com/recipe/160402>\n",
      " 7: ind:Salt\n",
      "\n",
      "78: <https://www.food.com/recipe/160402>\n",
      " 11: ind:Butter\n",
      "\n",
      "78: <https://www.food.com/recipe/160402>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "78: <https://www.food.com/recipe/160402>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "79: <https://www.food.com/recipe/24420>\n",
      " 12: ind:Garlic\n",
      "\n",
      "79: <https://www.food.com/recipe/24420>\n",
      " 17: ind:OliveOil\n",
      "\n",
      "80: <https://www.food.com/recipe/163724>\n",
      " 1: ind:Water\n",
      "\n",
      "80: <https://www.food.com/recipe/163724>\n",
      " 7: ind:Salt\n",
      "\n",
      "80: <https://www.food.com/recipe/163724>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "81: <https://www.food.com/recipe/185458>\n",
      " 2: ind:WholeWheatFlour\n",
      "\n",
      "81: <https://www.food.com/recipe/185458>\n",
      " 1: ind:Water\n",
      "\n",
      "82: <https://www.food.com/recipe/138082>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "82: <https://www.food.com/recipe/138082>\n",
      " 7: ind:Salt\n",
      "\n",
      "83: <https://www.food.com/recipe/280663>\n",
      " 7: ind:Salt\n",
      "\n",
      "83: <https://www.food.com/recipe/280663>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "83: <https://www.food.com/recipe/280663>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "83: <https://www.food.com/recipe/280663>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "84: <https://www.food.com/recipe/423015>\n",
      " 40: ind:Honey\n",
      "\n",
      "84: <https://www.food.com/recipe/423015>\n",
      " 11: ind:Butter\n",
      "\n",
      "84: <https://www.food.com/recipe/423015>\n",
      " 2: ind:WholeWheatFlour\n",
      "\n",
      "84: <https://www.food.com/recipe/423015>\n",
      " 1: ind:Water\n",
      "\n",
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      " 33: ind:BlackPepper\n",
      "\n",
      "85: <https://www.food.com/recipe/359793>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "85: <https://www.food.com/recipe/359793>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "85: <https://www.food.com/recipe/359793>\n",
      " 7: ind:Salt\n",
      "\n",
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      " 5: ind:AllPurposeFlour\n",
      "\n",
      "86: <https://www.food.com/recipe/368491>\n",
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      "\n",
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      "\n",
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      " 6: ind:ChickenEgg\n",
      "\n",
      "86: <https://www.food.com/recipe/368491>\n",
      " 1: ind:Water\n",
      "\n",
      "87: <https://www.food.com/recipe/440451>\n",
      " 2: ind:WholeWheatFlour\n",
      "\n",
      "87: <https://www.food.com/recipe/440451>\n",
      " 1: ind:Water\n",
      "\n",
      "87: <https://www.food.com/recipe/440451>\n",
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      "\n",
      "87: <https://www.food.com/recipe/440451>\n",
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      "\n",
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      "\n",
      "88: <https://www.food.com/recipe/109179>\n",
      " 11: ind:Butter\n",
      "\n",
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      "\n",
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      "\n",
      "88: <https://www.food.com/recipe/109179>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "89: <https://www.food.com/recipe/80546>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "89: <https://www.food.com/recipe/80546>\n",
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      "\n",
      "89: <https://www.food.com/recipe/80546>\n",
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      "\n",
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      "\n",
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      "\n",
      "90: <https://www.food.com/recipe/50402>\n",
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      "\n",
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      "\n",
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      "\n",
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      "\n",
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      "\n",
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      " 1: ind:Water\n",
      "\n",
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      "\n",
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      "\n",
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      "\n",
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      "\n",
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      "\n",
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      "\n",
      "94: <https://www.food.com/recipe/268209>\n",
      " 7: ind:Salt\n",
      "\n",
      "94: <https://www.food.com/recipe/268209>\n",
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      "\n",
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      "\n",
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      "\n",
      "94: <https://www.food.com/recipe/268209>\n",
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      "\n",
      "94: <https://www.food.com/recipe/268209>\n",
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      "\n",
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      "\n",
      "95: <https://www.food.com/recipe/315525>\n",
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      "\n",
      "95: <https://www.food.com/recipe/315525>\n",
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      "\n",
      "95: <https://www.food.com/recipe/315525>\n",
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      "\n",
      "96: <https://www.food.com/recipe/93990>\n",
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      "\n",
      "96: <https://www.food.com/recipe/93990>\n",
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      "\n",
      "96: <https://www.food.com/recipe/93990>\n",
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      "\n",
      "97: <https://www.food.com/recipe/424328>\n",
      " 1: ind:Water\n",
      "\n",
      "97: <https://www.food.com/recipe/424328>\n",
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      "\n",
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      "\n",
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      " 5: ind:AllPurposeFlour\n",
      "\n",
      "98: <https://www.food.com/recipe/124176>\n",
      " 11: ind:Butter\n",
      "\n",
      "98: <https://www.food.com/recipe/124176>\n",
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      "\n",
      "98: <https://www.food.com/recipe/124176>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
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      "\n",
      "98: <https://www.food.com/recipe/124176>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "99: <https://www.food.com/recipe/440398>\n",
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      "\n",
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      "\n",
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      "\n",
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      "\n",
      "99: <https://www.food.com/recipe/440398>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "100: <https://www.food.com/recipe/71214>\n",
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      "\n",
      "100: <https://www.food.com/recipe/71214>\n",
      " 1: ind:Water\n",
      "\n",
      "100: <https://www.food.com/recipe/71214>\n",
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      "\n",
      "100: <https://www.food.com/recipe/71214>\n",
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      "\n",
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      "\n",
      "101: <https://www.food.com/recipe/86710>\n",
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      "101: <https://www.food.com/recipe/86710>\n",
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      "\n",
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      " 4: ind:CowMilk\n",
      "\n",
      "102: <https://www.food.com/recipe/272746>\n",
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      "\n",
      "102: <https://www.food.com/recipe/272746>\n",
      " 7: ind:Salt\n",
      "\n",
      "102: <https://www.food.com/recipe/272746>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "102: <https://www.food.com/recipe/272746>\n",
      " 11: ind:Butter\n",
      "\n",
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      " 5: ind:AllPurposeFlour\n",
      "\n",
      "103: <https://www.food.com/recipe/139989>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "103: <https://www.food.com/recipe/139989>\n",
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      "\n",
      "103: <https://www.food.com/recipe/139989>\n",
      " 7: ind:Salt\n",
      "\n",
      "103: <https://www.food.com/recipe/139989>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "104: <https://www.food.com/recipe/382707>\n",
      " 22: ind:AppleCiderVinegar\n",
      "\n",
      "104: <https://www.food.com/recipe/382707>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "104: <https://www.food.com/recipe/382707>\n",
      " 7: ind:Salt\n",
      "\n",
      "105: <https://www.food.com/recipe/201097>\n",
      " 33: ind:BlackPepper\n",
      "\n",
      "105: <https://www.food.com/recipe/201097>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "105: <https://www.food.com/recipe/201097>\n",
      " 7: ind:Salt\n",
      "\n",
      "105: <https://www.food.com/recipe/201097>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "106: <https://www.food.com/recipe/164636>\n",
      " 1: ind:Water\n",
      "\n",
      "106: <https://www.food.com/recipe/164636>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "106: <https://www.food.com/recipe/164636>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "107: <https://www.food.com/recipe/256577>\n",
      " 7: ind:Salt\n",
      "\n",
      "107: <https://www.food.com/recipe/256577>\n",
      " 1: ind:Water\n",
      "\n",
      "107: <https://www.food.com/recipe/256577>\n",
      " 2: ind:WholeWheatFlour\n",
      "\n",
      "108: <https://www.food.com/recipe/186303>\n",
      " 17: ind:OliveOil\n",
      "\n",
      "108: <https://www.food.com/recipe/186303>\n",
      " 12: ind:Garlic\n",
      "\n",
      "109: <https://www.food.com/recipe/317697>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "109: <https://www.food.com/recipe/317697>\n",
      " 7: ind:Salt\n",
      "\n",
      "109: <https://www.food.com/recipe/317697>\n",
      " 1: ind:Water\n",
      "\n",
      "109: <https://www.food.com/recipe/317697>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "110: <https://www.food.com/recipe/508734>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "110: <https://www.food.com/recipe/508734>\n",
      " 7: ind:Salt\n",
      "\n",
      "110: <https://www.food.com/recipe/508734>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "110: <https://www.food.com/recipe/508734>\n",
      " 1: ind:Water\n",
      "\n",
      "111: <https://www.food.com/recipe/131054>\n",
      " 40: ind:Honey\n",
      "\n",
      "111: <https://www.food.com/recipe/131054>\n",
      " 11: ind:Butter\n",
      "\n",
      "112: <https://www.food.com/recipe/104441>\n",
      " 11: ind:Butter\n",
      "\n",
      "112: <https://www.food.com/recipe/104441>\n",
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      "\n",
      "112: <https://www.food.com/recipe/104441>\n",
      " 7: ind:Salt\n",
      "\n",
      "112: <https://www.food.com/recipe/104441>\n",
      " 12: ind:Garlic\n",
      "\n",
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      " 33: ind:BlackPepper\n",
      "\n",
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      " 7: ind:Salt\n",
      "\n",
      "113: <https://www.food.com/recipe/202806>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "113: <https://www.food.com/recipe/202806>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "113: <https://www.food.com/recipe/202806>\n",
      " 11: ind:Butter\n",
      "\n",
      "114: <https://www.food.com/recipe/331765>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "114: <https://www.food.com/recipe/331765>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "114: <https://www.food.com/recipe/331765>\n",
      " 1: ind:Water\n",
      "\n",
      "114: <https://www.food.com/recipe/331765>\n",
      " 7: ind:Salt\n",
      "\n",
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      " 5: ind:AllPurposeFlour\n",
      "\n",
      "115: <https://www.food.com/recipe/11846>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "116: <https://www.food.com/recipe/48178>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "116: <https://www.food.com/recipe/48178>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "116: <https://www.food.com/recipe/48178>\n",
      " 11: ind:Butter\n",
      "\n",
      "116: <https://www.food.com/recipe/48178>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "116: <https://www.food.com/recipe/48178>\n",
      " 7: ind:Salt\n",
      "\n",
      "117: <https://www.food.com/recipe/400>\n",
      " 11: ind:Butter\n",
      "\n",
      "117: <https://www.food.com/recipe/400>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "117: <https://www.food.com/recipe/400>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "117: <https://www.food.com/recipe/400>\n",
      " 7: ind:Salt\n",
      "\n",
      "117: <https://www.food.com/recipe/400>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "118: <https://www.food.com/recipe/173837>\n",
      " 1: ind:Water\n",
      "\n",
      "118: <https://www.food.com/recipe/173837>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "119: <https://www.food.com/recipe/277824>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "119: <https://www.food.com/recipe/277824>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "119: <https://www.food.com/recipe/277824>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "119: <https://www.food.com/recipe/277824>\n",
      " 7: ind:Salt\n",
      "\n",
      "120: <https://www.food.com/recipe/140570>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "120: <https://www.food.com/recipe/140570>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "120: <https://www.food.com/recipe/140570>\n",
      " 7: ind:Salt\n",
      "\n",
      "121: <https://www.food.com/recipe/471396>\n",
      " 1: ind:Water\n",
      "\n",
      "121: <https://www.food.com/recipe/471396>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "121: <https://www.food.com/recipe/471396>\n",
      " 7: ind:Salt\n",
      "\n",
      "122: <https://www.food.com/recipe/501918>\n",
      " 17: ind:OliveOil\n",
      "\n",
      "122: <https://www.food.com/recipe/501918>\n",
      " 12: ind:Garlic\n",
      "\n",
      "123: <https://www.food.com/recipe/180624>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "123: <https://www.food.com/recipe/180624>\n",
      " 11: ind:Butter\n",
      "\n",
      "123: <https://www.food.com/recipe/180624>\n",
      " 7: ind:Salt\n",
      "\n",
      "124: <https://www.food.com/recipe/186892>\n",
      " 11: ind:Butter\n",
      "\n",
      "124: <https://www.food.com/recipe/186892>\n",
      " 1: ind:Water\n",
      "\n",
      "124: <https://www.food.com/recipe/186892>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "124: <https://www.food.com/recipe/186892>\n",
      " 7: ind:Salt\n",
      "\n",
      "124: <https://www.food.com/recipe/186892>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "125: <https://www.food.com/recipe/78459>\n",
      " 7: ind:Salt\n",
      "\n",
      "125: <https://www.food.com/recipe/78459>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "125: <https://www.food.com/recipe/78459>\n",
      " 1: ind:Water\n",
      "\n",
      "125: <https://www.food.com/recipe/78459>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "126: <https://www.food.com/recipe/157254>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "126: <https://www.food.com/recipe/157254>\n",
      " 40: ind:Honey\n",
      "\n",
      "127: <https://www.food.com/recipe/19104>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "127: <https://www.food.com/recipe/19104>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "127: <https://www.food.com/recipe/19104>\n",
      " 7: ind:Salt\n",
      "\n",
      "127: <https://www.food.com/recipe/19104>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "127: <https://www.food.com/recipe/19104>\n",
      " 11: ind:Butter\n",
      "\n",
      "128: <https://www.food.com/recipe/455430>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "128: <https://www.food.com/recipe/455430>\n",
      " 1: ind:Water\n",
      "\n",
      "129: <https://www.food.com/recipe/65521>\n",
      " 11: ind:Butter\n",
      "\n",
      "129: <https://www.food.com/recipe/65521>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "130: <https://www.food.com/recipe/93428>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "130: <https://www.food.com/recipe/93428>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "130: <https://www.food.com/recipe/93428>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "131: <https://www.food.com/recipe/124106>\n",
      " 1: ind:Water\n",
      "\n",
      "131: <https://www.food.com/recipe/124106>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "131: <https://www.food.com/recipe/124106>\n",
      " 7: ind:Salt\n",
      "\n",
      "131: <https://www.food.com/recipe/124106>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "132: <https://www.food.com/recipe/308224>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "132: <https://www.food.com/recipe/308224>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "132: <https://www.food.com/recipe/308224>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "132: <https://www.food.com/recipe/308224>\n",
      " 1: ind:Water\n",
      "\n",
      "133: <https://www.food.com/recipe/357691>\n",
      " 40: ind:Honey\n",
      "\n",
      "133: <https://www.food.com/recipe/357691>\n",
      " 11: ind:Butter\n",
      "\n",
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      " 11: ind:Butter\n",
      "\n",
      "134: <https://www.food.com/recipe/40772>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "134: <https://www.food.com/recipe/40772>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "134: <https://www.food.com/recipe/40772>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "134: <https://www.food.com/recipe/40772>\n",
      " 7: ind:Salt\n",
      "\n",
      "135: <https://www.food.com/recipe/91311>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "135: <https://www.food.com/recipe/91311>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "135: <https://www.food.com/recipe/91311>\n",
      " 7: ind:Salt\n",
      "\n",
      "135: <https://www.food.com/recipe/91311>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "136: <https://www.food.com/recipe/189437>\n",
      " 11: ind:Butter\n",
      "\n",
      "136: <https://www.food.com/recipe/189437>\n",
      " 1: ind:Water\n",
      "\n",
      "136: <https://www.food.com/recipe/189437>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "137: <https://www.food.com/recipe/37825>\n",
      " 7: ind:Salt\n",
      "\n",
      "137: <https://www.food.com/recipe/37825>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "137: <https://www.food.com/recipe/37825>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "137: <https://www.food.com/recipe/37825>\n",
      " 11: ind:Butter\n",
      "\n",
      "138: <https://www.food.com/recipe/154001>\n",
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      "\n",
      "138: <https://www.food.com/recipe/154001>\n",
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      "\n",
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      " 1: ind:Water\n",
      "\n",
      "138: <https://www.food.com/recipe/154001>\n",
      " 11: ind:Butter\n",
      "\n",
      "139: <https://www.food.com/recipe/161962>\n",
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      "\n",
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      "\n",
      "139: <https://www.food.com/recipe/161962>\n",
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      "\n",
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      " 1: ind:Water\n",
      "\n",
      "140: <https://www.food.com/recipe/363253>\n",
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      "\n",
      "141: <https://www.food.com/recipe/471598>\n",
      " 11: ind:Butter\n",
      "\n",
      "141: <https://www.food.com/recipe/471598>\n",
      " 1: ind:Water\n",
      "\n",
      "141: <https://www.food.com/recipe/471598>\n",
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      "\n",
      "141: <https://www.food.com/recipe/471598>\n",
      " 7: ind:Salt\n",
      "\n",
      "142: <https://www.food.com/recipe/1975>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "142: <https://www.food.com/recipe/1975>\n",
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      "\n",
      "142: <https://www.food.com/recipe/1975>\n",
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      "\n",
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      " 4: ind:CowMilk\n",
      "\n",
      "143: <https://www.food.com/recipe/459>\n",
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      "\n",
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      "\n",
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      "\n",
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      "\n",
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      "\n",
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      "\n",
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      "\n",
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      "\n",
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      "\n",
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      "\n",
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      "\n",
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      "\n",
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      "\n",
      "146: <https://www.food.com/recipe/408065>\n",
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      "\n",
      "146: <https://www.food.com/recipe/408065>\n",
      " 1: ind:Water\n",
      "\n",
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      "\n",
      "147: <https://www.food.com/recipe/61108>\n",
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      "\n",
      "147: <https://www.food.com/recipe/61108>\n",
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      "\n",
      "147: <https://www.food.com/recipe/61108>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
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      " 5: ind:AllPurposeFlour\n",
      "\n",
      "148: <https://www.food.com/recipe/1079>\n",
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      "\n",
      "148: <https://www.food.com/recipe/1079>\n",
      " 4: ind:CowMilk\n",
      "\n",
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      "\n",
      "148: <https://www.food.com/recipe/1079>\n",
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      "\n",
      "149: <https://www.food.com/recipe/262538>\n",
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      "\n",
      "149: <https://www.food.com/recipe/262538>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "149: <https://www.food.com/recipe/262538>\n",
      " 11: ind:Butter\n",
      "\n",
      "150: <https://www.food.com/recipe/111008>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "150: <https://www.food.com/recipe/111008>\n",
      " 7: ind:Salt\n",
      "\n",
      "150: <https://www.food.com/recipe/111008>\n",
      " 1: ind:Water\n",
      "\n",
      "150: <https://www.food.com/recipe/111008>\n",
      " 11: ind:Butter\n",
      "\n",
      "150: <https://www.food.com/recipe/111008>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "150: <https://www.food.com/recipe/111008>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "151: <https://www.food.com/recipe/118047>\n",
      " 11: ind:Butter\n",
      "\n",
      "151: <https://www.food.com/recipe/118047>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "151: <https://www.food.com/recipe/118047>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "151: <https://www.food.com/recipe/118047>\n",
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      "\n",
      "152: <https://www.food.com/recipe/354371>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "153: <https://www.food.com/recipe/240584>\n",
      " 12: ind:Garlic\n",
      "\n",
      "153: <https://www.food.com/recipe/240584>\n",
      " 17: ind:OliveOil\n",
      "\n",
      "154: <https://www.food.com/recipe/72129>\n",
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      "\n",
      "154: <https://www.food.com/recipe/72129>\n",
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      "\n",
      "154: <https://www.food.com/recipe/72129>\n",
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      "\n",
      "154: <https://www.food.com/recipe/72129>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "155: <https://www.food.com/recipe/228819>\n",
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      "\n",
      "155: <https://www.food.com/recipe/228819>\n",
      " 1: ind:Water\n",
      "\n",
      "156: <https://www.food.com/recipe/160167>\n",
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      "\n",
      "156: <https://www.food.com/recipe/160167>\n",
      " 1: ind:Water\n",
      "\n",
      "156: <https://www.food.com/recipe/160167>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "157: <https://www.food.com/recipe/136111>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "157: <https://www.food.com/recipe/136111>\n",
      " 7: ind:Salt\n",
      "\n",
      "157: <https://www.food.com/recipe/136111>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "157: <https://www.food.com/recipe/136111>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "158: <https://www.food.com/recipe/406738>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "158: <https://www.food.com/recipe/406738>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "158: <https://www.food.com/recipe/406738>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "159: <https://www.food.com/recipe/271545>\n",
      " 1: ind:Water\n",
      "\n",
      "159: <https://www.food.com/recipe/271545>\n",
      " 7: ind:Salt\n",
      "\n",
      "159: <https://www.food.com/recipe/271545>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "159: <https://www.food.com/recipe/271545>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "160: <https://www.food.com/recipe/374125>\n",
      " 17: ind:OliveOil\n",
      "\n",
      "160: <https://www.food.com/recipe/374125>\n",
      " 12: ind:Garlic\n",
      "\n",
      "161: <https://www.food.com/recipe/60413>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "161: <https://www.food.com/recipe/60413>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "161: <https://www.food.com/recipe/60413>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "161: <https://www.food.com/recipe/60413>\n",
      " 7: ind:Salt\n",
      "\n",
      "162: <https://www.food.com/recipe/356829>\n",
      " 1: ind:Water\n",
      "\n",
      "162: <https://www.food.com/recipe/356829>\n",
      " 7: ind:Salt\n",
      "\n",
      "162: <https://www.food.com/recipe/356829>\n",
      " 2: ind:WholeWheatFlour\n",
      "\n",
      "163: <https://www.food.com/recipe/68491>\n",
      " 1: ind:Water\n",
      "\n",
      "163: <https://www.food.com/recipe/68491>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "164: <https://www.food.com/recipe/114917>\n",
      " 12: ind:Garlic\n",
      "\n",
      "164: <https://www.food.com/recipe/114917>\n",
      " 1: ind:Water\n",
      "\n",
      "165: <https://www.food.com/recipe/19446>\n",
      " 2: ind:WholeWheatFlour\n",
      "\n",
      "165: <https://www.food.com/recipe/19446>\n",
      " 1: ind:Water\n",
      "\n",
      "166: <https://www.food.com/recipe/215483>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "166: <https://www.food.com/recipe/215483>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "167: <https://www.food.com/recipe/90391>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "167: <https://www.food.com/recipe/90391>\n",
      " 7: ind:Salt\n",
      "\n",
      "167: <https://www.food.com/recipe/90391>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "167: <https://www.food.com/recipe/90391>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "167: <https://www.food.com/recipe/90391>\n",
      " 11: ind:Butter\n",
      "\n",
      "168: <https://www.food.com/recipe/137357>\n",
      " 11: ind:Butter\n",
      "\n",
      "168: <https://www.food.com/recipe/137357>\n",
      " 1: ind:Water\n",
      "\n",
      "168: <https://www.food.com/recipe/137357>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "168: <https://www.food.com/recipe/137357>\n",
      " 7: ind:Salt\n",
      "\n",
      "168: <https://www.food.com/recipe/137357>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "169: <https://www.food.com/recipe/371915>\n",
      " 11: ind:Butter\n",
      "\n",
      "169: <https://www.food.com/recipe/371915>\n",
      " 1: ind:Water\n",
      "\n",
      "169: <https://www.food.com/recipe/371915>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "169: <https://www.food.com/recipe/371915>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "169: <https://www.food.com/recipe/371915>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "170: <https://www.food.com/recipe/41305>\n",
      " 7: ind:Salt\n",
      "\n",
      "170: <https://www.food.com/recipe/41305>\n",
      " 1: ind:Water\n",
      "\n",
      "170: <https://www.food.com/recipe/41305>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "170: <https://www.food.com/recipe/41305>\n",
      " 17: ind:OliveOil\n",
      "\n",
      "171: <https://www.food.com/recipe/113757>\n",
      " 1: ind:Water\n",
      "\n",
      "171: <https://www.food.com/recipe/113757>\n",
      " 7: ind:Salt\n",
      "\n",
      "171: <https://www.food.com/recipe/113757>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "172: <https://www.food.com/recipe/262038>\n",
      " 11: ind:Butter\n",
      "\n",
      "172: <https://www.food.com/recipe/262038>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "172: <https://www.food.com/recipe/262038>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "172: <https://www.food.com/recipe/262038>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "172: <https://www.food.com/recipe/262038>\n",
      " 7: ind:Salt\n",
      "\n",
      "173: <https://www.food.com/recipe/320182>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "173: <https://www.food.com/recipe/320182>\n",
      " 7: ind:Salt\n",
      "\n",
      "173: <https://www.food.com/recipe/320182>\n",
      " 11: ind:Butter\n",
      "\n",
      "173: <https://www.food.com/recipe/320182>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "174: <https://www.food.com/recipe/47651>\n",
      " 11: ind:Butter\n",
      "\n",
      "174: <https://www.food.com/recipe/47651>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "175: <https://www.food.com/recipe/221279>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "175: <https://www.food.com/recipe/221279>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "175: <https://www.food.com/recipe/221279>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "175: <https://www.food.com/recipe/221279>\n",
      " 7: ind:Salt\n",
      "\n",
      "176: <https://www.food.com/recipe/368529>\n",
      " 40: ind:Honey\n",
      "\n",
      "176: <https://www.food.com/recipe/368529>\n",
      " 11: ind:Butter\n",
      "\n",
      "177: <https://www.food.com/recipe/12055>\n",
      " 1: ind:Water\n",
      "\n",
      "177: <https://www.food.com/recipe/12055>\n",
      " 11: ind:Butter\n",
      "\n",
      "177: <https://www.food.com/recipe/12055>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "177: <https://www.food.com/recipe/12055>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "177: <https://www.food.com/recipe/12055>\n",
      " 7: ind:Salt\n",
      "\n",
      "177: <https://www.food.com/recipe/12055>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "178: <https://www.food.com/recipe/197303>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "178: <https://www.food.com/recipe/197303>\n",
      " 11: ind:Butter\n",
      "\n",
      "178: <https://www.food.com/recipe/197303>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "179: <https://www.food.com/recipe/31041>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "179: <https://www.food.com/recipe/31041>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "179: <https://www.food.com/recipe/31041>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "179: <https://www.food.com/recipe/31041>\n",
      " 7: ind:Salt\n",
      "\n",
      "180: <https://www.food.com/recipe/497918>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "180: <https://www.food.com/recipe/497918>\n",
      " 7: ind:Salt\n",
      "\n",
      "180: <https://www.food.com/recipe/497918>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "180: <https://www.food.com/recipe/497918>\n",
      " 4: ind:CowMilk\n",
      "\n",
      "181: <https://www.food.com/recipe/482308>\n",
      " 11: ind:Butter\n",
      "\n",
      "181: <https://www.food.com/recipe/482308>\n",
      " 1: ind:Water\n",
      "\n",
      "181: <https://www.food.com/recipe/482308>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "181: <https://www.food.com/recipe/482308>\n",
      " 33: ind:BlackPepper\n",
      "\n",
      "181: <https://www.food.com/recipe/482308>\n",
      " 7: ind:Salt\n",
      "\n",
      "182: <https://www.food.com/recipe/328388>\n",
      " 1: ind:Water\n",
      "\n",
      "182: <https://www.food.com/recipe/328388>\n",
      " 6: ind:ChickenEgg\n",
      "\n",
      "182: <https://www.food.com/recipe/328388>\n",
      " 7: ind:Salt\n",
      "\n",
      "182: <https://www.food.com/recipe/328388>\n",
      " 5: ind:AllPurposeFlour\n",
      "\n",
      "183: <https://www.food.com/recipe/492846>\n",
      " 40: ind:Honey\n",
      "\n",
      "183: <https://www.food.com/recipe/492846>\n",
      " 17: ind:OliveOil\n",
      "\n"
     ]
    }
   ],
   "source": [
    "import networkx as nx\n",
    "g = nx.Graph()\n",
    "\n",
    "for row in kg.query(query):\n",
    "    rec, ind = row\n",
    "\n",
    "    s_label = rec.n3(kg._g.namespace_manager)\n",
    "    s_id = kg.get_node_id(rec)\n",
    "\n",
    "    o_label = ind.n3(kg._g.namespace_manager)\n",
    "    o_id = kg.get_node_id(ind)\n",
    "\n",
    "    print(\"{}: {}\\n {}: {}\\n\".format(s_id, s_label, o_id, o_label))\n",
    "\n",
    "    g.add_node(s_id, bipartite=0)\n",
    "    g.add_node(o_id, bipartite=1)\n",
    "    g.add_edge(s_id, o_id)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Simple graph measures"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A very simple test in `networkx` is to determine whether or not the graph is fully *connected*.\n",
    "In other words, are there nodes that aren't linked to the remainder of the graph?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nx.is_connected(g)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There are ways to \"measure\" graphs, for example using [*graph diameter*](https://mathworld.wolfram.com/GraphDiameter.html) which is defined by *Wolfram MathWorld* as:\n",
    "\n",
    "> the largest number of vertices which must be traversed in order to travel from one vertex to another when paths which backtrack, detour, or loop are excluded from consideration\n",
    "\n",
    "Also called the \"longest shorted path\" within the graph.\n",
    "A smaller graph diameter indicates lots of interconnections, while a larger measure indicates relatively sparser connections:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import networkx.algorithms.distance_measures as nx_measure\n",
    "\n",
    "nx_measure.diameter(g)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The way that we've built this subgraph, it has two distinct and independent sets of nodes – namely, the *recipes* and the *ingredients*.\n",
    "In other words, the recipes only link to ingredients, and the ingredients only link to recipes.\n",
    "This fits the formal definitions of a [*bipartite graph*](https://en.wikipedia.org/wiki/Bipartite_graph), which is important for working AI applications such as recommender systems, search engines, etc.\n",
    "\n",
    "Let's decompose our subgraph into its two sets of nodes:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "recipes\n",
      " {0, 3, 8, 9, 10, 13, 14, 15, 16, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 34, 35, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183} \n",
      "\n",
      "ingredients\n",
      " {1, 2, 33, 4, 5, 6, 7, 40, 11, 12, 17, 22}\n"
     ]
    }
   ],
   "source": [
    "from networkx.algorithms import bipartite\n",
    "\n",
    "rec_nodes, ind_nodes = bipartite.sets(g)\n",
    "\n",
    "print(\"recipes\\n\", rec_nodes, \"\\n\")\n",
    "print(\"ingredients\\n\", ind_nodes)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Centrality and connectedness"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's make good use of those bipartite sets for filtering results from other algorithms.\n",
    "\n",
    "Some of the ingredients are used more frequently than others.\n",
    "In very simple graphs we could use statistical frequency counts to measure that, although a more general purpose approach is to measure the *degree centrality*, i.e., \"How connected is each node?\"\n",
    "This is similar to calculating PageRank:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 0.645 ind:ChickenEgg\n",
      " 0.585 ind:Salt\n",
      " 0.568 ind:AllPurposeFlour\n",
      " 0.432 ind:CowMilk\n",
      " 0.399 ind:Butter\n",
      " 0.383 ind:Water\n",
      " 0.093 ind:OliveOil\n",
      " 0.071 ind:Garlic\n",
      " 0.060 ind:BlackPepper\n",
      " 0.055 ind:WholeWheatFlour\n",
      " 0.049 ind:Honey\n",
      " 0.027 ind:AppleCiderVinegar\n"
     ]
    }
   ],
   "source": [
    "results = nx.degree_centrality(g)\n",
    "ind_rank = {}\n",
    "\n",
    "for node_id, rank in sorted(results.items(), key=lambda item: item[1], reverse=True):\n",
    "    if node_id in ind_nodes:\n",
    "        node = kg.get_node(node_id)\n",
    "        ind_rank[node_id] = rank\n",
    "        print(\"{:6.3f} {}\".format(rank, kg.get_node_label(node)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can plot the graph directly from `networkx` using [`matplotlib`](https://matplotlib.org/):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "color = [ \"red\" if n in ind_nodes else \"blue\" for n in g.nodes()]\n",
    "\n",
    "nx.draw(g, node_color=color, with_labels=False)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, let's determine the [*k-cores*](https://en.wikipedia.org/wiki/Degeneracy_(graph_theory)#k-Cores) which are \"maximal connected subgraphs\" such that each node has `k` connections:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "NodeView((1, 4, 5, 6, 7, 134, 11, 13, 15, 143, 145, 148, 150, 23, 25, 26, 27, 28, 32, 33, 34, 167, 168, 169, 172, 177, 51, 181, 55, 61, 62, 66, 71, 78, 88, 91, 94, 98, 99, 101, 102, 103, 113, 116, 117, 124, 127))"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "core_g = nx.k_core(g)\n",
    "core_g.nodes()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let's plot those k-core nodes in a simplified visualization, which helps reveal the interconnections:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "color = [ \"red\" if n in ind_nodes else \"blue\" for n in core_g ]\n",
    "size = [ ind_rank[n] * 800 if n in ind_nodes else 1 for n in core_g ]\n",
    "\n",
    "nx.draw(core_g, node_color=color, node_size=size, edge_color=\"gray\", with_labels=True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  6  0.645 ind:ChickenEgg\n",
      "  7  0.585 ind:Salt\n",
      "  5  0.568 ind:AllPurposeFlour\n",
      "  4  0.432 ind:CowMilk\n",
      " 11  0.399 ind:Butter\n",
      "  1  0.383 ind:Water\n",
      " 33  0.060 ind:BlackPepper\n"
     ]
    }
   ],
   "source": [
    "for node_id, rank in sorted(ind_rank.items(), key=lambda item: item[1], reverse=True):\n",
    "    if node_id in core_g:\n",
    "        node = kg.get_node(node_id)\n",
    "        print(\"{:3} {:6.3f} {}\".format(node_id, rank, kg.get_node_label(node)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In other words, as the popular ingredients for recipes in our graph tend to be: `eggs`, `salt`, `flour`, `milk`, `butter`, `water` – although not so much `black pepper`.\n",
    "\n",
    "We can show a similar ranking with PageRank, although with different weights:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  6  0.645  0.088 ind:ChickenEgg\n",
      "  7  0.585  0.076 ind:Salt\n",
      "  5  0.568  0.074 ind:AllPurposeFlour\n",
      "  4  0.432  0.056 ind:CowMilk\n",
      " 11  0.399  0.054 ind:Butter\n",
      "  1  0.383  0.055 ind:Water\n",
      " 33  0.060  0.008 ind:BlackPepper\n"
     ]
    }
   ],
   "source": [
    "page_rank = nx.pagerank(g)\n",
    "\n",
    "for node_id, rank in sorted(ind_rank.items(), key=lambda item: item[1], reverse=True):\n",
    "    if node_id in core_g:\n",
    "        node = kg.get_node(node_id)\n",
    "        label = kg.get_node_label(node)\n",
    "        print(\"{:3} {:6.3f} {:6.3f} {}\".format(node_id, rank, page_rank[node_id], label))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Multi-scale structure"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Another interesting topic about analyzing graphs is to understand how their structure changes as you \"zoom out\" to different levels of detail.\n",
    "This is generally described as *multi-scale struture* in a graph.\n",
    "The general case of this kind of analysis involves an area of mathematics called [*persistent homology*](https://en.wikipedia.org/wiki/Persistent_homology), which is far beyond the scope of this tutorial.\n",
    "While relatively advanced, it finds good use in online marketing and also in ways to blend KGs with machine learning.\n",
    "\n",
    "A much simpler notion is called [*onion decomposition*](https://www.nature.com/articles/srep31708) where we can \"peel off layers\" of a graph, relatively speaking, by removing *k-cores* –– not unlike removing the most connected nodes first along with their close connectsions. In `networkx` this can be performed using the `onion_layers()` function:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "14.000 ind:CowMilk\n",
      "14.000 ind:AllPurposeFlour\n",
      "14.000 ind:ChickenEgg\n",
      "14.000 ind:Salt\n",
      "14.000 ind:Butter\n",
      "12.000 ind:BlackPepper\n",
      "12.000 ind:Water\n",
      " 9.000 ind:OliveOil\n",
      " 6.000 ind:WholeWheatFlour\n",
      " 3.000 ind:Garlic\n",
      " 3.000 ind:AppleCiderVinegar\n",
      " 3.000 ind:Honey\n"
     ]
    }
   ],
   "source": [
    "results = nx.onion_layers(g)\n",
    "\n",
    "for node_id, core_number in sorted(results.items(), key=lambda item: item[1], reverse=True):\n",
    "    if node_id in ind_nodes:\n",
    "        node = kg.get_node(node_id)\n",
    "        print(\"{:6.3f} {}\".format(core_number, kg.get_node_label(node)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---\n",
    "\n",
    "## Exercises"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Exercise 1:**\n",
    "    \n",
    "Given that `node_id = 24` represents the `\"black pepper\"` ingredient:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<https://www.food.com/recipe/171106>\n"
     ]
    }
   ],
   "source": [
    "node_id = 24\n",
    "node = kg.get_node(node_id)\n",
    "print(kg.get_node_label(node))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Use the [`bfs_edges()`](https://networkx.org/documentation/stable/reference/algorithms/generated/networkx.algorithms.traversal.breadth_first_search.bfs_edges.html#networkx.algorithms.traversal.breadth_first_search.bfs_edges) function with its source set to `node_id` to perform a *breadth first search* traversal of the graph to depth `2` to find the closest neighbors and print their labels."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Exercise 2:**\n",
    "\n",
    "Use the [`dfs_edges()`](https://networkx.org/documentation/stable/reference/algorithms/generated/networkx.algorithms.traversal.depth_first_search.dfs_edges.html#networkx.algorithms.traversal.depth_first_search.dfs_edges) function to perform a *depth first search* with the same parameters."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Exercise 3:**\n",
    "\n",
    "Find the [*shortest path*](https://networkx.org/documentation/stable/reference/algorithms/shortest_paths.html) that connects between `n1 = 24` \"black pepper\" and `n2 = 38` \"honey\", and print the labels for each node in the path."
   ]
  }
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