ML0101EN-RecommendationSystem-Collaborative-Filtering-movies-V2.ipynb

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    "<center>\n",
    "    <img src=\"https://cf-courses-data.s3.us.cloud-object-storage.appdomain.cloud/IBMDeveloperSkillsNetwork-ML0101EN-SkillsNetwork/labs/Module%205/images/IDSNlogo.png\" width=\"300\" alt=\"cognitiveclass.ai logo\"  />\n",
    "</center>\n",
    "\n",
    "# Collaborative Filtering\n",
    "\n",
    "Course: Machine Learning with Python.¶\n",
    "\n",
    "Stephane Dedieu April May 2022 - Rev. Oct 2022. \n",
    "\n",
    "Estimated time needed: **25** minutes\n",
    "\n",
    "## Objectives\n",
    "\n",
    "After completing this lab you will be able to:\n",
    "\n",
    "*   Create recommendation system based on collaborative filtering\n"
   ]
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    "Recommendation systems are a collection of algorithms used to recommend items to users based on information taken from the user. These systems have become ubiquitous and can be commonly seen in online stores, movies databases and job finders. In this notebook, we will explore recommendation systems based on Collaborative Filtering and implement simple version of one using Python and the Pandas library.\n"
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    "<h1>Table of contents</h1>\n",
    "\n",
    "<div class=\"alert alert-block alert-info\" style=\"margin-top: 20px\">\n",
    "    <ol>\n",
    "        <li><a href=\"https://#ref1\">Acquiring the Data</a></li>\n",
    "        <li><a href=\"https://#ref2\">Preprocessing</a></li>\n",
    "        <li><a href=\"https://#ref3\">Collaborative Filtering</a></li>\n",
    "    </ol>\n",
    "</div>\n",
    "<br>\n",
    "<hr>\n"
   ]
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   "source": [
    "<a id=\"ref1\"></a>\n",
    "\n",
    "# Acquiring the Data\n"
   ]
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    "To acquire and extract the data, simply run the following Bash scripts:\\\n",
    "Dataset acquired from [GroupLens](http://grouplens.org/datasets/movielens/?utm_medium=Exinfluencer&utm_source=Exinfluencer&utm_content=000026UJ&utm_term=10006555&utm_id=NA-SkillsNetwork-Channel-SkillsNetworkCoursesIBMDeveloperSkillsNetworkML0101ENSkillsNetwork20718538-2022-01-01). Let's download the dataset. To download the data, we will use **`!wget`** to download it from IBM Object Storage.\\\n",
    "**Did you know?** When it comes to Machine Learning, you will likely be working with large datasets. As a business, where can you host your data? IBM is offering a unique opportunity for businesses, with 10 Tb of IBM Cloud Object Storage: [Sign up now for free](http://cocl.us/ML0101EN-IBM-Offer-CC)\n"
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      "unziping ...\n"
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      "--2022-10-13 17:16:22--  https://cf-courses-data.s3.us.cloud-object-storage.appdomain.cloud/IBMDeveloperSkillsNetwork-ML0101EN-SkillsNetwork/labs/Module%205/data/moviedataset.zip\n",
      "Resolving cf-courses-data.s3.us.cloud-object-storage.appdomain.cloud (cf-courses-data.s3.us.cloud-object-storage.appdomain.cloud)... 198.23.119.245\n",
      "Connecting to cf-courses-data.s3.us.cloud-object-storage.appdomain.cloud (cf-courses-data.s3.us.cloud-object-storage.appdomain.cloud)|198.23.119.245|:443... connected.\n",
      "HTTP request sent, awaiting response... 200 OK\n",
      "Length: 160301210 (153M) [application/zip]\n",
      "Saving to: 'moviedataset.zip'\n",
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      "  9050K .......... .......... .......... .......... ..........  5%  752K 3m26s\n",
      "  9100K .......... .......... .......... .......... ..........  5%  756K 3m26s\n",
      "  9150K .......... .......... .......... .......... ..........  5%  754K 3m26s\n",
      "  9200K .......... .......... .......... .......... ..........  5%  564K 3m26s\n",
      "  9250K .......... .......... .......... .......... ..........  5%  259K 3m28s\n",
      "  9300K .......... .......... .......... .......... ..........  5% 2.02M 3m27s\n",
      "  9350K .......... .......... .......... .......... ..........  6%  126M 3m26s\n",
      "  9400K .......... .......... .......... .......... ..........  6% 1.01M 3m25s\n",
      "  9450K .......... .......... .......... .......... ..........  6%  766K 3m25s\n",
      "  9500K .......... .......... .......... .......... ..........  6%  740K 3m25s\n",
      "  9550K .......... .......... .......... .......... ..........  6%  755K 3m25s\n",
      "  9600K .......... .......... .......... .......... ..........  6%  555K 3m25s\n",
      "  9650K .......... .......... .......... .......... ..........  6%  756K 3m25s\n",
      "  9700K .......... .......... .......... .......... ..........  6%  749K 3m25s\n",
      "  9750K .......... .......... .......... .......... ..........  6%  756K 3m25s\n",
      "  9800K .......... .......... .......... .......... ..........  6%  747K 3m25s\n",
      "  9850K .......... .......... .......... .......... ..........  6%  761K 3m25s\n",
      "  9900K .......... .......... .......... .......... ..........  6%  753K 3m24s\n",
      "  9950K .......... .......... .......... .......... ..........  6%  751K 3m24s\n",
      " 10000K .......... .......... .......... .......... ..........  6%  567K 3m25s\n",
      " 10050K .......... .......... .......... .......... ..........  6%  739K 3m24s\n",
      " 10100K .......... .......... .......... .......... ..........  6%  763K 3m24s\n",
      " 10150K .......... .......... .......... .......... ..........  6%  763K 3m24s\n",
      " 10200K .......... .......... .......... .......... ..........  6%  755K 3m24s\n",
      " 10250K .......... .......... .......... .......... ..........  6%  753K 3m24s\n",
      " 10300K .......... .......... .......... .......... ..........  6%  755K 3m24s\n",
      " 10350K .......... .......... .......... .......... ..........  6%  755K 3m24s\n",
      " 10400K .......... .......... .......... .......... ..........  6%  565K 3m24s\n",
      " 10450K .......... .......... .......... .......... ..........  6%  753K 3m24s\n",
      " 10500K .......... .......... .......... .......... ..........  6%  262K 3m25s\n",
      " 10550K .......... .......... .......... .......... ..........  6% 1.98M 3m25s\n",
      " 10600K .......... .......... .......... .......... ..........  6%  161M 3m24s\n",
      " 10650K .......... .......... .......... .......... ..........  6% 1016K 3m23s\n",
      " 10700K .......... .......... .......... .......... ..........  6%  755K 3m23s\n",
      " 10750K .......... .......... .......... .......... ..........  6%  571K 3m23s\n",
      " 10800K .......... .......... .......... .......... ..........  6%  750K 3m23s\n",
      " 10850K .......... .......... .......... .......... ..........  6%  753K 3m23s\n",
      " 10900K .......... .......... .......... .......... ..........  6%  754K 3m23s\n",
      " 10950K .......... .......... .......... .......... ..........  7%  730K 3m23s\n",
      " 11000K .......... .......... .......... .......... ..........  7%  779K 3m23s\n",
      " 11050K .......... .......... .......... .......... ..........  7%  754K 3m23s\n",
      " 11100K .......... .......... .......... .......... ..........  7%  742K 3m23s\n",
      " 11150K .......... .......... .......... .......... ..........  7%  768K 3m22s\n",
      " 11200K .......... .......... .......... .......... ..........  7%  567K 3m23s\n",
      " 11250K .......... .......... .......... .......... ..........  7%  752K 3m22s\n",
      " 11300K .......... .......... .......... .......... ..........  7%  753K 3m22s\n",
      " 11350K .......... .......... .......... .......... ..........  7%  754K 3m22s\n",
      " 11400K .......... .......... .......... .......... ..........  7%  768K 3m22s\n",
      " 11450K .......... .......... .......... .......... ..........  7%  745K 3m22s\n",
      " 11500K .......... .......... .......... .......... ..........  7%  754K 3m22s\n",
      " 11550K .......... .......... .......... .......... ..........  7%  753K 3m22s\n",
      " 11600K .......... .......... .......... .......... ..........  7%  566K 3m22s\n",
      " 11650K .......... .......... .......... .......... ..........  7%  756K 3m22s\n",
      " 11700K .......... .......... .......... .......... ..........  7%  755K 3m22s\n",
      " 11750K .......... .......... .......... .......... ..........  7%  750K 3m22s\n",
      " 11800K .......... .......... .......... .......... ..........  7%  757K 3m22s\n",
      " 11850K .......... .......... .......... .......... ..........  7%  753K 3m21s\n",
      " 11900K .......... .......... .......... .......... ..........  7%  754K 3m21s\n",
      " 11950K .......... .......... .......... .......... ..........  7%  753K 3m21s\n",
      " 12000K .......... .......... .......... .......... ..........  7%  565K 3m21s\n",
      " 12050K .......... .......... .......... .......... ..........  7%  757K 3m21s\n",
      " 12100K .......... .......... .......... .......... ..........  7%  752K 3m21s\n",
      " 12150K .......... .......... .......... .......... ..........  7%  749K 3m21s\n",
      " 12200K .......... .......... .......... .......... ..........  7%  753K 3m21s\n",
      " 12250K .......... .......... .......... .......... ..........  7%  737K 3m21s\n",
      " 12300K .......... .......... .......... .......... ..........  7%  784K 3m21s\n",
      " 12350K .......... .......... .......... .......... ..........  7%  735K 3m21s\n",
      " 12400K .......... .......... .......... .......... ..........  7%  573K 3m21s\n",
      " 12450K .......... .......... .......... .......... ..........  7%  757K 3m21s\n",
      " 12500K .......... .......... .......... .......... ..........  8%  754K 3m21s\n",
      " 12550K .......... .......... .......... .......... ..........  8%  759K 3m20s\n",
      " 12600K .......... .......... .......... .......... ..........  8%  753K 3m20s\n",
      " 12650K .......... .......... .......... .......... ..........  8%  752K 3m20s\n",
      " 12700K .......... .......... .......... .......... ..........  8%  753K 3m20s\n",
      " 12750K .......... .......... .......... .......... ..........  8%  756K 3m20s\n",
      " 12800K .......... .......... .......... .......... ..........  8%  566K 3m20s\n",
      " 12850K .......... .......... .......... .......... ..........  8%  752K 3m20s\n",
      " 12900K .......... .......... .......... .......... ..........  8%  755K 3m20s\n",
      " 12950K .......... .......... .......... .......... ..........  8%  753K 3m20s\n",
      " 13000K .......... .......... .......... .......... ..........  8%  753K 3m20s\n",
      " 13050K .......... .......... .......... .......... ..........  8%  754K 3m20s\n",
      " 13100K .......... .......... .......... .......... ..........  8%  749K 3m20s\n",
      " 13150K .......... .......... .......... .......... ..........  8%  754K 3m19s\n",
      " 13200K .......... .......... .......... .......... ..........  8%  569K 3m20s\n",
      " 13250K .......... .......... .......... .......... ..........  8%  754K 3m19s\n",
      " 13300K .......... .......... .......... .......... ..........  8%  753K 3m19s\n",
      " 13350K .......... .......... .......... .......... ..........  8%  757K 3m19s\n",
      " 13400K .......... .......... .......... .......... ..........  8%  754K 3m19s\n",
      " 13450K .......... .......... .......... .......... ..........  8%  752K 3m19s\n",
      " 13500K .......... .......... .......... .......... ..........  8%  754K 3m19s\n",
      " 13550K .......... .......... .......... .......... ..........  8%  753K 3m19s\n",
      " 13600K .......... .......... .......... .......... ..........  8%  566K 3m19s\n",
      " 13650K .......... .......... .......... .......... ..........  8%  756K 3m19s\n",
      " 13700K .......... .......... .......... .......... ..........  8%  766K 3m19s\n",
      " 13750K .......... .......... .......... .......... ..........  8%  744K 3m19s\n",
      " 13800K .......... .......... .......... .......... ..........  8%  756K 3m19s\n",
      " 13850K .......... .......... .......... .......... ..........  8%  751K 3m18s\n",
      " 13900K .......... .......... .......... .......... ..........  8%  759K 3m18s\n",
      " 13950K .......... .......... .......... .......... ..........  8%  569K 3m18s\n",
      " 14000K .......... .......... .......... .......... ..........  8%  745K 3m18s\n",
      " 14050K .......... .......... .......... .......... ..........  9%  752K 3m18s\n",
      " 14100K .......... .......... .......... .......... ..........  9%  758K 3m18s\n",
      " 14150K .......... .......... .......... .......... ..........  9%  760K 3m18s\n",
      " 14200K .......... .......... .......... .......... ..........  9%  750K 3m18s\n",
      " 14250K .......... .......... .......... .......... ..........  9%  757K 3m18s\n",
      " 14300K .......... .......... .......... .......... ..........  9%  753K 3m18s\n",
      " 14350K .......... .......... .......... .......... ..........  9%  752K 3m18s\n",
      " 14400K .......... .......... .......... .......... ..........  9%  560K 3m18s\n",
      " 14450K .......... .......... .......... .......... ..........  9%  766K 3m18s\n",
      " 14500K .......... .......... .......... .......... ..........  9%  753K 3m18s\n",
      " 14550K .......... .......... .......... .......... ..........  9%  752K 3m17s\n",
      " 14600K .......... .......... .......... .......... ..........  9%  755K 3m17s\n",
      " 14650K .......... .......... .......... .......... ..........  9%  755K 3m17s\n",
      " 14700K .......... .......... .......... .......... ..........  9%  752K 3m17s\n",
      " 14750K .......... .......... .......... .......... ..........  9%  756K 3m17s\n",
      " 14800K .......... .......... .......... .......... ..........  9%  249K 3m18s\n",
      " 14850K .......... .......... .......... .......... ..........  9% 1.49M 3m18s\n",
      " 14900K .......... .......... .......... .......... ..........  9%  255M 3m17s\n",
      " 14950K .......... .......... .......... .......... ..........  9%  923K 3m17s\n",
      " 15000K .......... .......... .......... .......... ..........  9%  758K 3m17s\n",
      " 15050K .......... .......... .......... .......... ..........  9%  743K 3m17s\n",
      " 15100K .......... .......... .......... .......... ..........  9%  762K 3m17s\n",
      " 15150K .......... .......... .......... .......... ..........  9%  752K 3m16s\n",
      " 15200K .......... .......... .......... .......... ..........  9%  568K 3m17s\n",
      " 15250K .......... .......... .......... .......... ..........  9%  756K 3m16s\n",
      " 15300K .......... .......... .......... .......... ..........  9%  751K 3m16s\n",
      " 15350K .......... .......... .......... .......... ..........  9%  755K 3m16s\n",
      " 15400K .......... .......... .......... .......... ..........  9%  757K 3m16s\n",
      " 15450K .......... .......... .......... .......... ..........  9%  749K 3m16s\n",
      " 15500K .......... .......... .......... .......... ..........  9%  756K 3m16s\n",
      " 15550K .......... .......... .......... .......... ..........  9%  751K 3m16s\n",
      " 15600K .......... .......... .......... .......... ..........  9%  570K 3m16s\n",
      " 15650K .......... .......... .......... .......... .......... 10%  754K 3m16s\n",
      " 15700K .......... .......... .......... .......... .......... 10%  751K 3m16s\n",
      " 15750K .......... .......... .......... .......... .......... 10%  759K 3m16s\n",
      " 15800K .......... .......... .......... .......... .......... 10%  753K 3m16s\n",
      " 15850K .......... .......... .......... .......... .......... 10%  755K 3m15s\n",
      " 15900K .......... .......... .......... .......... .......... 10%  758K 3m15s\n",
      " 15950K .......... .......... .......... .......... .......... 10%  748K 3m15s\n",
      " 16000K .......... .......... .......... .......... .......... 10%  566K 3m15s\n",
      " 16050K .......... .......... .......... .......... .......... 10%  768K 3m15s\n",
      " 16100K .......... .......... .......... .......... .......... 10%  741K 3m15s\n",
      " 16150K .......... .......... .......... .......... .......... 10%  755K 3m15s\n",
      " 16200K .......... .......... .......... .......... .......... 10%  685K 3m15s\n",
      " 16250K .......... .......... .......... .......... .......... 10%  231K 3m16s\n",
      " 16300K .......... .......... .......... .......... .......... 10%  859K 3m16s\n",
      " 16350K .......... .......... .......... .......... .......... 10%  117K 3m19s\n",
      " 16400K .......... .......... .......... .......... .......... 10%  447K 3m19s\n",
      " 16450K .......... .......... .......... .......... .......... 10%  215K 3m21s\n",
      " 16500K .......... .......... .......... .......... .......... 10% 1.26M 3m20s\n",
      " 16550K .......... .......... .......... .......... .......... 10% 7.10M 3m20s\n",
      " 16600K .......... .......... .......... .......... .......... 10%  114K 3m23s\n",
      " 16650K .......... .......... .......... .......... .......... 10%  168M 3m22s\n",
      " 16700K .......... .......... .......... .......... .......... 10%  253M 3m21s\n",
      " 16750K .......... .......... .......... .......... .......... 10%  428K 3m22s\n",
      " 16800K .......... .......... .......... .......... .......... 10%  236K 3m23s\n",
      " 16850K .......... .......... .......... .......... .......... 10%  275M 3m22s\n",
      " 16900K .......... .......... .......... .......... .......... 10% 5.28M 3m21s\n",
      " 16950K .......... .......... .......... .......... .......... 10%  744K 3m21s\n",
      " 17000K .......... .......... .......... .......... .......... 10%  764K 3m21s\n",
      " 17050K .......... .......... .......... .......... .......... 10%  753K 3m21s\n",
      " 17100K .......... .......... .......... .......... .......... 10%  750K 3m21s\n",
      " 17150K .......... .......... .......... .......... .......... 10%  754K 3m21s\n",
      " 17200K .......... .......... .......... .......... .......... 11%  567K 3m21s\n",
      " 17250K .......... .......... .......... .......... .......... 11%  753K 3m21s\n",
      " 17300K .......... .......... .......... .......... .......... 11%  688K 3m21s\n",
      " 17350K .......... .......... .......... .......... .......... 11%  268K 3m22s\n",
      " 17400K .......... .......... .......... .......... .......... 11% 96.1M 3m21s\n",
      " 17450K .......... .......... .......... .......... .......... 11% 3.83M 3m20s\n",
      " 17500K .......... .......... .......... .......... .......... 11%  753K 3m20s\n",
      " 17550K .......... .......... .......... .......... .......... 11%  755K 3m20s\n",
      " 17600K .......... .......... .......... .......... .......... 11%  532K 3m20s\n",
      " 17650K .......... .......... .......... .......... .......... 11%  785K 3m20s\n",
      " 17700K .......... .......... .......... .......... .......... 11%  765K 3m20s\n",
      " 17750K .......... .......... .......... .......... .......... 11%  753K 3m20s\n",
      " 17800K .......... .......... .......... .......... .......... 11%  753K 3m20s\n",
      " 17850K .......... .......... .......... .......... .......... 11%  756K 3m20s\n",
      " 17900K .......... .......... .......... .......... .......... 11%  754K 3m20s\n",
      " 17950K .......... .......... .......... .......... .......... 11%  741K 3m19s\n",
      " 18000K .......... .......... .......... .......... .......... 11%  574K 3m19s\n",
      " 18050K .......... .......... .......... .......... .......... 11%  751K 3m19s\n",
      " 18100K .......... .......... .......... .......... .......... 11%  758K 3m19s\n",
      " 18150K .......... .......... .......... .......... .......... 11%  754K 3m19s\n",
      " 18200K .......... .......... .......... .......... .......... 11%  669K 3m19s\n",
      " 18250K .......... .......... .......... .......... .......... 11%  858K 3m19s\n",
      " 18300K .......... .......... .......... .......... .......... 11%  737K 3m19s\n",
      " 18350K .......... .......... .......... .......... .......... 11%  763K 3m19s\n",
      " 18400K .......... .......... .......... .......... .......... 11%  550K 3m19s\n",
      " 18450K .......... .......... .......... .......... .......... 11%  742K 3m19s\n",
      " 18500K .......... .......... .......... .......... .......... 11%  740K 3m19s\n",
      " 18550K .......... .......... .......... .......... .......... 11%  760K 3m18s\n",
      " 18600K .......... .......... .......... .......... .......... 11%  721K 3m18s\n",
      " 18650K .......... .......... .......... .......... .......... 11%  750K 3m18s\n",
      " 18700K .......... .......... .......... .......... .......... 11%  753K 3m18s\n",
      " 18750K .......... .......... .......... .......... .......... 12%  734K 3m18s\n",
      " 18800K .......... .......... .......... .......... .......... 12%  567K 3m18s\n",
      " 18850K .......... .......... .......... .......... .......... 12%  737K 3m18s\n",
      " 18900K .......... .......... .......... .......... .......... 12%  770K 3m18s\n",
      " 18950K .......... .......... .......... .......... .......... 12%  721K 3m18s\n",
      " 19000K .......... .......... .......... .......... .......... 12%  788K 3m18s\n",
      " 19050K .......... .......... .......... .......... .......... 12%  725K 3m17s\n",
      " 19100K .......... .......... .......... .......... .......... 12%  792K 3m17s\n",
      " 19150K .......... .......... .......... .......... .......... 12%  753K 3m17s\n",
      " 19200K .......... .......... .......... .......... .......... 12%  566K 3m17s\n",
      " 19250K .......... .......... .......... .......... .......... 12%  754K 3m17s\n",
      " 19300K .......... .......... .......... .......... .......... 12%  756K 3m17s\n",
      " 19350K .......... .......... .......... .......... .......... 12%  754K 3m17s\n",
      " 19400K .......... .......... .......... .......... .......... 12%  753K 3m17s\n",
      " 19450K .......... .......... .......... .......... .......... 12%  752K 3m17s\n",
      " 19500K .......... .......... .......... .......... .......... 12%  755K 3m17s\n",
      " 19550K .......... .......... .......... .......... .......... 12%  752K 3m17s\n",
      " 19600K .......... .......... .......... .......... .......... 12%  567K 3m17s\n",
      " 19650K .......... .......... .......... .......... .......... 12%  738K 3m16s\n",
      " 19700K .......... .......... .......... .......... .......... 12%  771K 3m16s\n",
      " 19750K .......... .......... .......... .......... .......... 12%  754K 3m16s\n",
      " 19800K .......... .......... .......... .......... .......... 12%  753K 3m16s\n",
      " 19850K .......... .......... .......... .......... .......... 12%  755K 3m16s\n",
      " 19900K .......... .......... .......... .......... .......... 12%  754K 3m16s\n",
      " 19950K .......... .......... .......... .......... .......... 12%  753K 3m16s\n",
      " 20000K .......... .......... .......... .......... .......... 12%  564K 3m16s\n",
      " 20050K .......... .......... .......... .......... .......... 12%  754K 3m16s\n",
      " 20100K .......... .......... .......... .......... .......... 12%  756K 3m16s\n",
      " 20150K .......... .......... .......... .......... .......... 12%  754K 3m16s\n",
      " 20200K .......... .......... .......... .......... .......... 12%  750K 3m15s\n",
      " 20250K .......... .......... .......... .......... .......... 12%  755K 3m15s\n",
      " 20300K .......... .......... .......... .......... .......... 12%  755K 3m15s\n",
      " 20350K .......... .......... .......... .......... .......... 13%  754K 3m15s\n",
      " 20400K .......... .......... .......... .......... .......... 13%  564K 3m15s\n",
      " 20450K .......... .......... .......... .......... .......... 13%  756K 3m15s\n",
      " 20500K .......... .......... .......... .......... .......... 13%  748K 3m15s\n",
      " 20550K .......... .......... .......... .......... .......... 13%  760K 3m15s\n",
      " 20600K .......... .......... .......... .......... .......... 13%  766K 3m15s\n",
      " 20650K .......... .......... .......... .......... .......... 13%  790K 3m15s\n",
      " 20700K .......... .......... .......... .......... .......... 13%  591K 3m15s\n",
      " 20750K .......... .......... .......... .......... .......... 13%  782K 3m14s\n",
      " 20800K .......... .......... .......... .......... .......... 13%  675K 3m14s\n",
      " 20850K .......... .......... .......... .......... .......... 13%  786K 3m14s\n",
      " 20900K .......... .......... .......... .......... .......... 13%  782K 3m14s\n",
      " 20950K .......... .......... .......... .......... .......... 13%  786K 3m14s\n",
      " 21000K .......... .......... .......... .......... .......... 13%  583K 3m14s\n",
      " 21050K .......... .......... .......... .......... .......... 13%  901K 3m14s\n",
      " 21100K .......... .......... .......... .......... .......... 13%  782K 3m14s\n",
      " 21150K .......... .......... .......... .......... .......... 13%  587K 3m14s\n",
      " 21200K .......... .......... .......... .......... .......... 13%  777K 3m14s\n",
      " 21250K .......... .......... .......... .......... .......... 13%  642K 3m14s\n",
      " 21300K .......... .......... .......... .......... .......... 13%  281K 3m14s\n",
      " 21350K .......... .......... .......... .......... .......... 13%  183M 3m14s\n",
      " 21400K .......... .......... .......... .......... .......... 13% 3.80M 3m13s\n",
      " 21450K .......... .......... .......... .......... .......... 13%  682K 3m13s\n",
      " 21500K .......... .......... .......... .......... .......... 13%  587K 3m13s\n",
      " 21550K .......... .......... .......... .......... .......... 13%  791K 3m13s\n",
      " 21600K .......... .......... .......... .......... .......... 13%  788K 3m13s\n",
      " 21650K .......... .......... .......... .......... .......... 13%  681K 3m13s\n",
      " 21700K .......... .......... .......... .......... .......... 13%  785K 3m13s\n",
      " 21750K .......... .......... .......... .......... .......... 13%  779K 3m13s\n",
      " 21800K .......... .......... .......... .......... .......... 13%  706K 3m13s\n",
      " 21850K .......... .......... .......... .......... .......... 13%  773K 3m12s\n",
      " 21900K .......... .......... .......... .......... .......... 14%  591K 3m12s\n",
      " 21950K .......... .......... .......... .......... .......... 14%  686K 3m12s\n",
      " 22000K .......... .......... .......... .......... .......... 14%  787K 3m12s\n",
      " 22050K .......... .......... .......... .......... .......... 14%  783K 3m12s\n",
      " 22100K .......... .......... .......... .......... .......... 14%  779K 3m12s\n",
      " 22150K .......... .......... .......... .......... .......... 14%  787K 3m12s\n",
      " 22200K .......... .......... .......... .......... .......... 14%  680K 3m12s\n",
      " 22250K .......... .......... .......... .......... .......... 14%  785K 3m12s\n",
      " 22300K .......... .......... .......... .......... .......... 14%  592K 3m12s\n",
      " 22350K .......... .......... .......... .......... .......... 14%  773K 3m12s\n",
      " 22400K .......... .......... .......... .......... .......... 14%  686K 3m12s\n",
      " 22450K .......... .......... .......... .......... .......... 14%  770K 3m11s\n",
      " 22500K .......... .......... .......... .......... .......... 14%  784K 3m11s\n",
      " 22550K .......... .......... .......... .......... .......... 14%  785K 3m11s\n",
      " 22600K .......... .......... .......... .......... .......... 14%  689K 3m11s\n",
      " 22650K .......... .......... .......... .......... .......... 14%  787K 3m11s\n",
      " 22700K .......... .......... .......... .......... .......... 14%  592K 3m11s\n",
      " 22750K .......... .......... .......... .......... .......... 14%  953K 3m11s\n",
      " 22800K .......... .......... .......... .......... .......... 14%  591K 3m11s\n",
      " 22850K .......... .......... .......... .......... .......... 14%  788K 3m11s\n",
      " 22900K .......... .......... .......... .......... .......... 14%  774K 3m11s\n",
      " 22950K .......... .......... .......... .......... .......... 14%  230K 3m11s\n",
      " 23000K .......... .......... .......... .......... .......... 14%  244M 3m11s\n",
      " 23050K .......... .......... .......... .......... .......... 14%  344M 3m10s\n",
      " 23100K .......... .......... .......... .......... .......... 14%  754K 3m10s\n",
      " 23150K .......... .......... .......... .......... .......... 14%  695K 3m10s\n",
      " 23200K .......... .......... .......... .......... .......... 14%  786K 3m10s\n",
      " 23250K .......... .......... .......... .......... .......... 14%  771K 3m10s\n",
      " 23300K .......... .......... .......... .......... .......... 14%  806K 3m10s\n",
      " 23350K .......... .......... .......... .......... .......... 14%  685K 3m10s\n",
      " 23400K .......... .......... .......... .......... .......... 14%  780K 3m10s\n",
      " 23450K .......... .......... .......... .......... .......... 15%  594K 3m10s\n",
      " 23500K .......... .......... .......... .......... .......... 15%  965K 3m10s\n",
      " 23550K .......... .......... .......... .......... .......... 15%  588K 3m10s\n",
      " 23600K .......... .......... .......... .......... .......... 15%  779K 3m10s\n",
      " 23650K .......... .......... .......... .......... .......... 15%  786K 3m9s\n",
      " 23700K .......... .......... .......... .......... .......... 15%  686K 3m9s\n",
      " 23750K .......... .......... .......... .......... .......... 15%  785K 3m9s\n",
      " 23800K .......... .......... .......... .......... .......... 15%  782K 3m9s\n",
      " 23850K .......... .......... .......... .......... .......... 15%  552K 3m9s\n",
      " 23900K .......... .......... .......... .......... .......... 15%  979K 3m9s\n",
      " 23950K .......... .......... .......... .......... .......... 15%  589K 3m9s\n",
      " 24000K .......... .......... .......... .......... .......... 15%  787K 3m9s\n",
      " 24050K .......... .......... .......... .......... .......... 15%  770K 3m9s\n",
      " 24100K .......... .......... .......... .......... .......... 15%  685K 3m9s\n",
      " 24150K .......... .......... .......... .......... .......... 15%  787K 3m9s\n",
      " 24200K .......... .......... .......... .......... .......... 15%  793K 3m8s\n",
      " 24250K .......... .......... .......... .......... .......... 15%  681K 3m8s\n",
      " 24300K .......... .......... .......... .......... .......... 15%  789K 3m8s\n",
      " 24350K .......... .......... .......... .......... .......... 15%  592K 3m8s\n",
      " 24400K .......... .......... .......... .......... .......... 15%  782K 3m8s\n",
      " 24450K .......... .......... .......... .......... .......... 15%  688K 3m8s\n",
      " 24500K .......... .......... .......... .......... .......... 15%  331K 3m8s\n",
      " 24550K .......... .......... .......... .......... .......... 15%  223M 3m8s\n",
      " 24600K .......... .......... .......... .......... .......... 15% 1.22M 3m8s\n",
      " 24650K .......... .......... .......... .......... .......... 15%  698K 3m8s\n",
      " 24700K .......... .......... .......... .......... .......... 15%  589K 3m8s\n",
      " 24750K .......... .......... .......... .......... .......... 15%  782K 3m8s\n",
      " 24800K .......... .......... .......... .......... .......... 15%  787K 3m7s\n",
      " 24850K .......... .......... .......... .......... .......... 15%  685K 3m7s\n",
      " 24900K .......... .......... .......... .......... .......... 15%  742K 3m7s\n",
      " 24950K .......... .......... .......... .......... .......... 15%  788K 3m7s\n",
      " 25000K .......... .......... .......... .......... .......... 16%  731K 3m7s\n",
      " 25050K .......... .......... .......... .......... .......... 16%  785K 3m7s\n",
      " 25100K .......... .......... .......... .......... .......... 16%  592K 3m7s\n",
      " 25150K .......... .......... .......... .......... .......... 16%  787K 3m7s\n",
      " 25200K .......... .......... .......... .......... .......... 16%  677K 3m7s\n",
      " 25250K .......... .......... .......... .......... .......... 16%  782K 3m7s\n",
      " 25300K .......... .......... .......... .......... .......... 16%  787K 3m7s\n",
      " 25350K .......... .......... .......... .......... .......... 16%  779K 3m7s\n",
      " 25400K .......... .......... .......... .......... .......... 16%  700K 3m6s\n",
      " 25450K .......... .......... .......... .......... .......... 16%  789K 3m6s\n",
      " 25500K .......... .......... .......... .......... .......... 16%  588K 3m6s\n",
      " 25550K .......... .......... .......... .......... .......... 16%  783K 3m6s\n",
      " 25600K .......... .......... .......... .......... .......... 16%  626K 3m6s\n",
      " 25650K .......... .......... .......... .......... .......... 16%  886K 3m6s\n",
      " 25700K .......... .......... .......... .......... .......... 16%  782K 3m6s\n",
      " 25750K .......... .......... .......... .......... .......... 16%  788K 3m6s\n",
      " 25800K .......... .......... .......... .......... .......... 16%  687K 3m6s\n",
      " 25850K .......... .......... .......... .......... .......... 16%  781K 3m6s\n",
      " 25900K .......... .......... .......... .......... .......... 16%  585K 3m6s\n",
      " 25950K .......... .......... .......... .......... .......... 16%  962K 3m6s\n",
      " 26000K .......... .......... .......... .......... .......... 16%  586K 3m6s\n",
      " 26050K .......... .......... .......... .......... .......... 16%  779K 3m5s\n",
      " 26100K .......... .......... .......... .......... .......... 16%  785K 3m5s\n",
      " 26150K .......... .......... .......... .......... .......... 16%  691K 3m5s\n",
      " 26200K .......... .......... .......... .......... .......... 16%  782K 3m5s\n",
      " 26250K .......... .......... .......... .......... .......... 16%  726K 3m5s\n",
      " 26300K .......... .......... .......... .......... .......... 16%  590K 3m5s\n",
      " 26350K .......... .......... .......... .......... .......... 16%  739K 3m5s\n",
      " 26400K .......... .......... .......... .......... .......... 16%  784K 3m5s\n",
      " 26450K .......... .......... .......... .......... .......... 16%  783K 3m5s\n",
      " 26500K .......... .......... .......... .......... .......... 16%  786K 3m5s\n",
      " 26550K .......... .......... .......... .......... .......... 16%  688K 3m5s\n",
      " 26600K .......... .......... .......... .......... .......... 17%  766K 3m4s\n",
      " 26650K .......... .......... .......... .......... .......... 17%  602K 3m4s\n",
      " 26700K .......... .......... .......... .......... .......... 17%  967K 3m4s\n",
      " 26750K .......... .......... .......... .......... .......... 17%  590K 3m4s\n",
      " 26800K .......... .......... .......... .......... .......... 17%  786K 3m4s\n",
      " 26850K .......... .......... .......... .......... .......... 17%  781K 3m4s\n",
      " 26900K .......... .......... .......... .......... .......... 17%  696K 3m4s\n",
      " 26950K .......... .......... .......... .......... .......... 17%  786K 3m4s\n",
      " 27000K .......... .......... .......... .......... .......... 17%  601K 3m4s\n",
      " 27050K .......... .......... .......... .......... .......... 17%  209K 3m5s\n",
      " 27100K .......... .......... .......... .......... .......... 17%  217K 3m5s\n",
      " 27150K .......... .......... .......... .......... .......... 17%  262K 3m6s\n",
      " 27200K .......... .......... .......... .......... .......... 17% 1.16M 3m6s\n",
      " 27250K .......... .......... .......... .......... .......... 17%  270K 3m6s\n",
      " 27300K .......... .......... .......... .......... .......... 17%  898K 3m6s\n",
      " 27350K .......... .......... .......... .......... .......... 17%  551K 3m6s\n",
      " 27400K .......... .......... .......... .......... .......... 17%  247K 3m6s\n",
      " 27450K .......... .......... .......... .......... .......... 17%  309K 3m7s\n",
      " 27500K .......... .......... .......... .......... .......... 17%  629K 3m7s\n",
      " 27550K .......... .......... .......... .......... .......... 17%  480K 3m7s\n",
      " 27600K .......... .......... .......... .......... .......... 17%  245K 3m7s\n",
      " 27650K .......... .......... .......... .......... .......... 17%  347K 3m8s\n",
      " 27700K .......... .......... .......... .......... .......... 17%  298K 3m8s\n",
      " 27750K .......... .......... .......... .......... .......... 17%  156M 3m8s\n",
      " 27800K .......... .......... .......... .......... .......... 17%  321K 3m8s\n",
      " 27850K .......... .......... .......... .......... .......... 17%  554K 3m8s\n",
      " 27900K .......... .......... .......... .......... .......... 17%  316K 3m8s\n",
      " 27950K .......... .......... .......... .......... .......... 17%  437K 3m8s\n",
      " 28000K .......... .......... .......... .......... .......... 17%  427K 3m8s\n",
      " 28050K .......... .......... .......... .......... .......... 17%  372K 3m9s\n",
      " 28100K .......... .......... .......... .......... .......... 17%  440K 3m9s\n",
      " 28150K .......... .......... .......... .......... .......... 18%  441K 3m9s\n",
      " 28200K .......... .......... .......... .......... .......... 18%  344K 3m9s\n",
      " 28250K .......... .......... .......... .......... .......... 18%  485K 3m9s\n",
      " 28300K .......... .......... .......... .......... .......... 18%  316K 3m10s\n",
      " 28350K .......... .......... .......... .......... .......... 18%  440K 3m10s\n",
      " 28400K .......... .......... .......... .......... .......... 18%  383K 3m10s\n",
      " 28450K .......... .......... .......... .......... .......... 18%  424K 3m10s\n",
      " 28500K .......... .......... .......... .......... .......... 18%  440K 3m10s\n",
      " 28550K .......... .......... .......... .......... .......... 18%  410K 3m10s\n",
      " 28600K .......... .......... .......... .......... .......... 18%  383K 3m10s\n",
      " 28650K .......... .......... .......... .......... .......... 18%  439K 3m10s\n",
      " 28700K .......... .......... .......... .......... .......... 18%  325K 3m11s\n",
      " 28750K .......... .......... .......... .......... .......... 18%  630K 3m11s\n",
      " 28800K .......... .......... .......... .......... .......... 18%  639K 3m11s\n",
      " 28850K .......... .......... .......... .......... .......... 18%  716K 3m11s\n",
      " 28900K .......... .......... .......... .......... .......... 18%  645K 3m10s\n",
      " 28950K .......... .......... .......... .......... .......... 18%  630K 3m10s\n",
      " 29000K .......... .......... .......... .......... .......... 18%  684K 3m10s\n",
      " 29050K .......... .......... .......... .......... .......... 18%  730K 3m10s\n",
      " 29100K .......... .......... .......... .......... .......... 18%  564K 3m10s\n",
      " 29150K .......... .......... .......... .......... .......... 18%  614K 3m10s\n",
      " 29200K .......... .......... .......... .......... .......... 18%  731K 3m10s\n",
      " 29250K .......... .......... .......... .......... .......... 18%  742K 3m10s\n",
      " 29300K .......... .......... .......... .......... .......... 18%  760K 3m10s\n",
      " 29350K .......... .......... .......... .......... .......... 18%  652K 3m10s\n",
      " 29400K .......... .......... .......... .......... .......... 18%  746K 3m10s\n",
      " 29450K .......... .......... .......... .......... .......... 18%  573K 3m10s\n",
      " 29500K .......... .......... .......... .......... .......... 18%  785K 3m10s\n",
      " 29550K .......... .......... .......... .......... .......... 18%  687K 3m9s\n",
      " 29600K .......... .......... .......... .......... .......... 18%  782K 3m9s\n",
      " 29650K .......... .......... .......... .......... .......... 18%  782K 3m9s\n",
      " 29700K .......... .......... .......... .......... .......... 19%  703K 3m9s\n",
      " 29750K .......... .......... .......... .......... .......... 19%  778K 3m9s\n",
      " 29800K .......... .......... .......... .......... .......... 19%  788K 3m9s\n",
      " 29850K .......... .......... .......... .......... .......... 19%  590K 3m9s\n",
      " 29900K .......... .......... .......... .......... .......... 19%  961K 3m9s\n",
      " 29950K .......... .......... .......... .......... .......... 19%  591K 3m9s\n",
      " 30000K .......... .......... .......... .......... .......... 19%  786K 3m9s\n",
      " 30050K .......... .......... .......... .......... .......... 19%  779K 3m8s\n",
      " 30100K .......... .......... .......... .......... .......... 19%  692K 3m8s\n",
      " 30150K .......... .......... .......... .......... .......... 19%  783K 3m8s\n",
      " 30200K .......... .......... .......... .......... .......... 19%  784K 3m8s\n",
      " 30250K .......... .......... .......... .......... .......... 19%  592K 3m8s\n",
      " 30300K .......... .......... .......... .......... .......... 19%  789K 3m8s\n",
      " 30350K .......... .......... .......... .......... .......... 19%  654K 3m8s\n",
      " 30400K .......... .......... .......... .......... .......... 19%  784K 3m8s\n",
      " 30450K .......... .......... .......... .......... .......... 19%  792K 3m8s\n",
      " 30500K .......... .......... .......... .......... .......... 19%  782K 3m8s\n",
      " 30550K .......... .......... .......... .......... .......... 19%  694K 3m7s\n",
      " 30600K .......... .......... .......... .......... .......... 19%  785K 3m7s\n",
      " 30650K .......... .......... .......... .......... .......... 19%  591K 3m7s\n",
      " 30700K .......... .......... .......... .......... .......... 19%  959K 3m7s\n",
      " 30750K .......... .......... .......... .......... .......... 19%  593K 3m7s\n",
      " 30800K .......... .......... .......... .......... .......... 19%  782K 3m7s\n",
      " 30850K .......... .......... .......... .......... .......... 19%  786K 3m7s\n",
      " 30900K .......... .......... .......... .......... .......... 19%  686K 3m7s\n",
      " 30950K .......... .......... .......... .......... .......... 19%  767K 3m7s\n",
      " 31000K .......... .......... .......... .......... .......... 19%  793K 3m7s\n",
      " 31050K .......... .......... .......... .......... .......... 19%  593K 3m7s\n",
      " 31100K .......... .......... .......... .......... .......... 19%  990K 3m6s\n",
      " 31150K .......... .......... .......... .......... .......... 19%  591K 3m6s\n",
      " 31200K .......... .......... .......... .......... .......... 19%  788K 3m6s\n",
      " 31250K .......... .......... .......... .......... .......... 19%  780K 3m6s\n",
      " 31300K .......... .......... .......... .......... .......... 20%  689K 3m6s\n",
      " 31350K .......... .......... .......... .......... .......... 20%  766K 3m6s\n",
      " 31400K .......... .......... .......... .......... .......... 20%  803K 3m6s\n",
      " 31450K .......... .......... .......... .......... .......... 20%  591K 3m6s\n",
      " 31500K .......... .......... .......... .......... .......... 20%  788K 3m6s\n",
      " 31550K .......... .......... .......... .......... .......... 20%  785K 3m5s\n",
      " 31600K .......... .......... .......... .......... .......... 20%  632K 3m5s\n",
      " 31650K .......... .......... .......... .......... .......... 20%  785K 3m5s\n",
      " 31700K .......... .......... .......... .......... .......... 20%  788K 3m5s\n",
      " 31750K .......... .......... .......... .......... .......... 20%  784K 3m5s\n",
      " 31800K .......... .......... .......... .......... .......... 20%  686K 3m5s\n",
      " 31850K .......... .......... .......... .......... .......... 20%  779K 3m5s\n",
      " 31900K .......... .......... .......... .......... .......... 20%  596K 3m5s\n",
      " 31950K .......... .......... .......... .......... .......... 20%  994K 3m5s\n",
      " 32000K .......... .......... .......... .......... .......... 20%  583K 3m5s\n",
      " 32050K .......... .......... .......... .......... .......... 20%  788K 3m5s\n",
      " 32100K .......... .......... .......... .......... .......... 20%  785K 3m4s\n",
      " 32150K .......... .......... .......... .......... .......... 20%  685K 3m4s\n",
      " 32200K .......... .......... .......... .......... .......... 20%  787K 3m4s\n",
      " 32250K .......... .......... .......... .......... .......... 20%  787K 3m4s\n",
      " 32300K .......... .......... .......... .......... .......... 20%  591K 3m4s\n",
      " 32350K .......... .......... .......... .......... .......... 20%  684K 3m4s\n",
      " 32400K .......... .......... .......... .......... .......... 20%  789K 3m4s\n",
      " 32450K .......... .......... .......... .......... .......... 20%  783K 3m4s\n",
      " 32500K .......... .......... .......... .......... .......... 20%  784K 3m4s\n",
      " 32550K .......... .......... .......... .......... .......... 20%  689K 3m4s\n",
      " 32600K .......... .......... .......... .......... .......... 20%  785K 3m3s\n",
      " 32650K .......... .......... .......... .......... .......... 20%  590K 3m3s\n",
      " 32700K .......... .......... .......... .......... .......... 20% 1002K 3m3s\n",
      " 32750K .......... .......... .......... .......... .......... 20%  583K 3m3s\n",
      " 32800K .......... .......... .......... .......... .......... 20%  789K 3m3s\n",
      " 32850K .......... .......... .......... .......... .......... 21%  783K 3m3s\n",
      " 32900K .......... .......... .......... .......... .......... 21%  687K 3m3s\n",
      " 32950K .......... .......... .......... .......... .......... 21%  786K 3m3s\n",
      " 33000K .......... .......... .......... .......... .......... 21%  786K 3m3s\n",
      " 33050K .......... .......... .......... .......... .......... 21%  590K 3m3s\n",
      " 33100K .......... .......... .......... .......... .......... 21%  965K 3m3s\n",
      " 33150K .......... .......... .......... .......... .......... 21%  589K 3m2s\n",
      " 33200K .......... .......... .......... .......... .......... 21%  787K 3m2s\n",
      " 33250K .......... .......... .......... .......... .......... 21%  787K 3m2s\n",
      " 33300K .......... .......... .......... .......... .......... 21%  693K 3m2s\n",
      " 33350K .......... .......... .......... .......... .......... 21%  788K 3m2s\n",
      " 33400K .......... .......... .......... .......... .......... 21%  785K 3m2s\n",
      " 33450K .......... .......... .......... .......... .......... 21%  657K 3m2s\n",
      " 33500K .......... .......... .......... .......... .......... 21%  831K 3m2s\n",
      " 33550K .......... .......... .......... .......... .......... 21%  589K 3m2s\n",
      " 33600K .......... .......... .......... .......... .......... 21%  787K 3m2s\n",
      " 33650K .......... .......... .......... .......... .......... 21%  687K 3m2s\n",
      " 33700K .......... .......... .......... .......... .......... 21%  783K 3m1s\n",
      " 33750K .......... .......... .......... .......... .......... 21%  786K 3m1s\n",
      " 33800K .......... .......... .......... .......... .......... 21%  785K 3m1s\n",
      " 33850K .......... .......... .......... .......... .......... 21%  687K 3m1s\n",
      " 33900K .......... .......... .......... .......... .......... 21%  592K 3m1s\n",
      " 33950K .......... .......... .......... .......... .......... 21%  784K 3m1s\n",
      " 34000K .......... .......... .......... .......... .......... 21%  780K 3m1s\n",
      " 34050K .......... .......... .......... .......... .......... 21%  698K 3m1s\n",
      " 34100K .......... .......... .......... .......... .......... 21%  785K 3m1s\n",
      " 34150K .......... .......... .......... .......... .......... 21%  786K 3m1s\n",
      " 34200K .......... .......... .......... .......... .......... 21%  687K 3m1s\n",
      " 34250K .......... .......... .......... .......... .......... 21%  785K 3m0s\n",
      " 34300K .......... .......... .......... .......... .......... 21%  590K 3m0s\n",
      " 34350K .......... .......... .......... .......... .......... 21%  785K 3m0s\n",
      " 34400K .......... .......... .......... .......... .......... 22%  687K 3m0s\n",
      " 34450K .......... .......... .......... .......... .......... 22%  786K 3m0s\n",
      " 34500K .......... .......... .......... .......... .......... 22%  786K 3m0s\n",
      " 34550K .......... .......... .......... .......... .......... 22%  787K 3m0s\n",
      " 34600K .......... .......... .......... .......... .......... 22%  685K 3m0s\n",
      " 34650K .......... .......... .......... .......... .......... 22%  787K 3m0s\n",
      " 34700K .......... .......... .......... .......... .......... 22%  590K 3m0s\n",
      " 34750K .......... .......... .......... .......... .......... 22%  785K 3m0s\n",
      " 34800K .......... .......... .......... .......... .......... 22%  695K 2m59s\n",
      " 34850K .......... .......... .......... .......... .......... 22%  783K 2m59s\n",
      " 34900K .......... .......... .......... .......... .......... 22%  787K 2m59s\n",
      " 34950K .......... .......... .......... .......... .......... 22%  787K 2m59s\n",
      " 35000K .......... .......... .......... .......... .......... 22%  684K 2m59s\n",
      " 35050K .......... .......... .......... .......... .......... 22%  791K 2m59s\n",
      " 35100K .......... .......... .......... .......... .......... 22%  589K 2m59s\n",
      " 35150K .......... .......... .......... .......... .......... 22%  970K 2m59s\n",
      " 35200K .......... .......... .......... .......... .......... 22%  588K 2m59s\n",
      " 35250K .......... .......... .......... .......... .......... 22%  751K 2m59s\n",
      " 35300K .......... .......... .......... .......... .......... 22%  783K 2m58s\n",
      " 35350K .......... .......... .......... .......... .......... 22%  722K 2m58s\n",
      " 35400K .......... .......... .......... .......... .......... 22%  796K 2m58s\n",
      " 35450K .......... .......... .......... .......... .......... 22%  195K 2m59s\n",
      " 35500K .......... .......... .......... .......... .......... 22%  216K 2m59s\n",
      " 35550K .......... .......... .......... .......... .......... 22% 2.48M 2m59s\n",
      " 35600K .......... .......... .......... .......... .......... 22%  289K 2m59s\n",
      " 35650K .......... .......... .......... .......... .......... 22% 1.21M 2m59s\n",
      " 35700K .......... .......... .......... .......... .......... 22% 1.62M 2m59s\n",
      " 35750K .......... .......... .......... .......... .......... 22%  367K 2m59s\n",
      " 35800K .......... .......... .......... .......... .......... 22%  285K 2m59s\n",
      " 35850K .......... .......... .......... .......... .......... 22% 1.63M 2m59s\n",
      " 35900K .......... .......... .......... .......... .......... 22%  439K 2m59s\n",
      " 35950K .......... .......... .......... .......... .......... 22%  319K 2m59s\n",
      " 36000K .......... .......... .......... .......... .......... 23%  421K 2m59s\n",
      " 36050K .......... .......... .......... .......... .......... 23%  427K 2m59s\n",
      " 36100K .......... .......... .......... .......... .......... 23%  501K 2m59s\n",
      " 36150K .......... .......... .......... .......... .......... 23%  631K 2m59s\n",
      " 36200K .......... .......... .......... .......... .......... 23%  701K 2m59s\n",
      " 36250K .......... .......... .......... .......... .......... 23%  539K 2m59s\n",
      " 36300K .......... .......... .......... .......... .......... 23%  833K 2m59s\n",
      " 36350K .......... .......... .......... .......... .......... 23%  536K 2m59s\n",
      " 36400K .......... .......... .......... .......... .......... 23%  690K 2m59s\n",
      " 36450K .......... .......... .......... .......... .......... 23%  701K 2m59s\n",
      " 36500K .......... .......... .......... .......... .......... 23%  611K 2m59s\n",
      " 36550K .......... .......... .......... .......... .......... 23%  701K 2m59s\n",
      " 36600K .......... .......... .......... .......... .......... 23%  699K 2m59s\n",
      " 36650K .......... .......... .......... .......... .......... 23%  622K 2m59s\n",
      " 36700K .......... .......... .......... .......... .......... 23%  585K 2m59s\n",
      " 36750K .......... .......... .......... .......... .......... 23%  493K 2m59s\n",
      " 36800K .......... .......... .......... .......... .......... 23%  653K 2m59s\n",
      " 36850K .......... .......... .......... .......... .......... 23%  668K 2m59s\n",
      " 36900K .......... .......... .......... .......... .......... 23%  729K 2m58s\n",
      " 36950K .......... .......... .......... .......... .......... 23%  698K 2m58s\n",
      " 37000K .......... .......... .......... .......... .......... 23%  624K 2m58s\n",
      " 37050K .......... .......... .......... .......... .......... 23%  687K 2m58s\n",
      " 37100K .......... .......... .......... .......... .......... 23%  524K 2m58s\n",
      " 37150K .......... .......... .......... .......... .......... 23%  670K 2m58s\n",
      " 37200K .......... .......... .......... .......... .......... 23%  677K 2m58s\n",
      " 37250K .......... .......... .......... .......... .......... 23%  621K 2m58s\n",
      " 37300K .......... .......... .......... .......... .......... 23%  758K 2m58s\n",
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      " 37550K .......... .......... .......... .......... .......... 24%  704K 2m58s\n",
      " 37600K .......... .......... .......... .......... .......... 24%  688K 2m58s\n",
      " 37650K .......... .......... .......... .......... .......... 24%  574K 2m58s\n",
      " 37700K .......... .......... .......... .......... .......... 24%  721K 2m57s\n",
      " 37750K .......... .......... .......... .......... .......... 24%  611K 2m57s\n",
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      " 38100K .......... .......... .......... .......... .......... 24%  497K 2m57s\n",
      " 38150K .......... .......... .......... .......... .......... 24%  680K 2m57s\n",
      " 38200K .......... .......... .......... .......... .......... 24%  460K 2m57s\n",
      " 38250K .......... .......... .......... .......... .......... 24%  967K 2m57s\n",
      " 38300K .......... .......... .......... .......... .......... 24%  503K 2m57s\n",
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      " 38400K .......... .......... .......... .......... .......... 24%  694K 2m57s\n",
      " 38450K .......... .......... .......... .......... .......... 24%  785K 2m57s\n",
      " 38500K .......... .......... .......... .......... .......... 24%  786K 2m56s\n",
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      " 38650K .......... .......... .......... .......... .......... 24%  781K 2m56s\n",
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      " 38950K .......... .......... .......... .......... .......... 24%  782K 2m56s\n",
      " 39000K .......... .......... .......... .......... .......... 24%  689K 2m56s\n",
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      " 39950K .......... .......... .......... .......... .......... 25%  584K 2m54s\n",
      " 40000K .......... .......... .......... .......... .......... 25%  790K 2m54s\n",
      " 40050K .......... .......... .......... .......... .......... 25%  782K 2m54s\n",
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      " 43600K .......... .......... .......... .......... .......... 27% 98.2M 2m47s\n",
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      " 44300K .......... .......... .......... .......... .......... 28%  589K 2m46s\n",
      " 44350K .......... .......... .......... .......... .......... 28%  786K 2m46s\n",
      " 44400K .......... .......... .......... .......... .......... 28%  782K 2m46s\n",
      " 44450K .......... .......... .......... .......... .......... 28%  688K 2m46s\n",
      " 44500K .......... .......... .......... .......... .......... 28%  786K 2m46s\n",
      " 44550K .......... .......... .......... .......... .......... 28%  784K 2m46s\n",
      " 44600K .......... .......... .......... .......... .......... 28%  689K 2m46s\n",
      " 44650K .......... .......... .......... .......... .......... 28%  780K 2m45s\n",
      " 44700K .......... .......... .......... .......... .......... 28%  594K 2m45s\n",
      " 44750K .......... .......... .......... .......... .......... 28%  782K 2m45s\n",
      " 44800K .......... .......... .......... .......... .......... 28%  688K 2m45s\n",
      " 44850K .......... .......... .......... .......... .......... 28%  790K 2m45s\n",
      " 44900K .......... .......... .......... .......... .......... 28%  727K 2m45s\n",
      " 44950K .......... .......... .......... .......... .......... 28%  791K 2m45s\n",
      " 45000K .......... .......... .......... .......... .......... 28%  748K 2m45s\n",
      " 45050K .......... .......... .......... .......... .......... 28%  259K 2m45s\n",
      " 45100K .......... .......... .......... .......... .......... 28%  160M 2m45s\n",
      " 45150K .......... .......... .......... .......... .......... 28% 2.65M 2m45s\n",
      " 45200K .......... .......... .......... .......... .......... 28%  676K 2m45s\n",
      " 45250K .......... .......... .......... .......... .......... 28%  791K 2m44s\n",
      " 45300K .......... .......... .......... .......... .......... 28%  782K 2m44s\n",
      " 45350K .......... .......... .......... .......... .......... 29%  788K 2m44s\n",
      " 45400K .......... .......... .......... .......... .......... 29%  685K 2m44s\n",
      " 45450K .......... .......... .......... .......... .......... 29%  785K 2m44s\n",
      " 45500K .......... .......... .......... .......... .......... 29%  590K 2m44s\n",
      " 45550K .......... .......... .......... .......... .......... 29%  969K 2m44s\n",
      " 45600K .......... .......... .......... .......... .......... 29%  591K 2m44s\n",
      " 45650K .......... .......... .......... .......... .......... 29%  782K 2m44s\n",
      " 45700K .......... .......... .......... .......... .......... 29%  776K 2m44s\n",
      " 45750K .......... .......... .......... .......... .......... 29%  699K 2m44s\n",
      " 45800K .......... .......... .......... .......... .......... 29%  787K 2m43s\n",
      " 45850K .......... .......... .......... .......... .......... 29%  590K 2m43s\n",
      " 45900K .......... .......... .......... .......... .......... 29%  786K 2m43s\n",
      " 45950K .......... .......... .......... .......... .......... 29%  687K 2m43s\n",
      " 46000K .......... .......... .......... .......... .......... 29%  788K 2m43s\n",
      " 46050K .......... .......... .......... .......... .......... 29%  778K 2m43s\n",
      " 46100K .......... .......... .......... .......... .......... 29%  787K 2m43s\n",
      " 46150K .......... .......... .......... .......... .......... 29%  690K 2m43s\n",
      " 46200K .......... .......... .......... .......... .......... 29%  783K 2m43s\n",
      " 46250K .......... .......... .......... .......... .......... 29%  592K 2m43s\n",
      " 46300K .......... .......... .......... .......... .......... 29%  961K 2m43s\n",
      " 46350K .......... .......... .......... .......... .......... 29%  592K 2m43s\n",
      " 46400K .......... .......... .......... .......... .......... 29%  783K 2m42s\n",
      " 46450K .......... .......... .......... .......... .......... 29%  785K 2m42s\n",
      " 46500K .......... .......... .......... .......... .......... 29%  694K 2m42s\n",
      " 46550K .......... .......... .......... .......... .......... 29%  782K 2m42s\n",
      " 46600K .......... .......... .......... .......... .......... 29%  793K 2m42s\n",
      " 46650K .......... .......... .......... .......... .......... 29%  588K 2m42s\n",
      " 46700K .......... .......... .......... .......... .......... 29%  956K 2m42s\n",
      " 46750K .......... .......... .......... .......... .......... 29%  583K 2m42s\n",
      " 46800K .......... .......... .......... .......... .......... 29%  805K 2m42s\n",
      " 46850K .......... .......... .......... .......... .......... 29%  788K 2m42s\n",
      " 46900K .......... .......... .......... .......... .......... 29%  686K 2m42s\n",
      " 46950K .......... .......... .......... .......... .......... 30%  786K 2m41s\n",
      " 47000K .......... .......... .......... .......... .......... 30%  777K 2m41s\n",
      " 47050K .......... .......... .......... .......... .......... 30%  693K 2m41s\n",
      " 47100K .......... .......... .......... .......... .......... 30%  785K 2m41s\n",
      " 47150K .......... .......... .......... .......... .......... 30%  582K 2m41s\n",
      " 47200K .......... .......... .......... .......... .......... 30%  799K 2m41s\n",
      " 47250K .......... .......... .......... .......... .......... 30%  694K 2m41s\n",
      " 47300K .......... .......... .......... .......... .......... 30%  783K 2m41s\n",
      " 47350K .......... .......... .......... .......... .......... 30%  788K 2m41s\n",
      " 47400K .......... .......... .......... .......... .......... 30%  589K 2m41s\n",
      " 47450K .......... .......... .......... .......... .......... 30%  965K 2m41s\n",
      " 47500K .......... .......... .......... .......... .......... 30%  767K 2m41s\n",
      " 47550K .......... .......... .......... .......... .......... 30%  569K 2m40s\n",
      " 47600K .......... .......... .......... .......... .......... 30%  749K 2m40s\n",
      " 47650K .......... .......... .......... .......... .......... 30%  764K 2m40s\n",
      " 47700K .......... .......... .......... .......... .......... 30%  742K 2m40s\n",
      " 47750K .......... .......... .......... .......... .......... 30%  785K 2m40s\n",
      " 47800K .......... .......... .......... .......... .......... 30%  787K 2m40s\n",
      " 47850K .......... .......... .......... .......... .......... 30%  713K 2m40s\n",
      " 47900K .......... .......... .......... .......... .......... 30%  759K 2m40s\n",
      " 47950K .......... .......... .......... .......... .......... 30%  590K 2m40s\n",
      " 48000K .......... .......... .......... .......... .......... 30%  715K 2m40s\n",
      " 48050K .......... .......... .......... .......... .......... 30%  785K 2m40s\n",
      " 48100K .......... .......... .......... .......... .......... 30%  741K 2m40s\n",
      " 48150K .......... .......... .......... .......... .......... 30%  756K 2m39s\n",
      " 48200K .......... .......... .......... .......... .......... 30%  766K 2m39s\n",
      " 48250K .......... .......... .......... .......... .......... 30%  786K 2m39s\n",
      " 48300K .......... .......... .......... .......... .......... 30%  590K 2m39s\n",
      " 48350K .......... .......... .......... .......... .......... 30%  787K 2m39s\n",
      " 48400K .......... .......... .......... .......... .......... 30%  242K 2m39s\n",
      " 48450K .......... .......... .......... .......... .......... 30%  996K 2m39s\n",
      " 48500K .......... .......... .......... .......... .......... 31% 1.15M 2m39s\n",
      " 48550K .......... .......... .......... .......... .......... 31%  144M 2m39s\n",
      " 48600K .......... .......... .......... .......... .......... 31% 1.23M 2m39s\n",
      " 48650K .......... .......... .......... .......... .......... 31%  787K 2m39s\n",
      " 48700K .......... .......... .......... .......... .......... 31%  588K 2m39s\n",
      " 48750K .......... .......... .......... .......... .......... 31%  786K 2m38s\n",
      " 48800K .......... .......... .......... .......... .......... 31%  680K 2m38s\n",
      " 48850K .......... .......... .......... .......... .......... 31%  785K 2m38s\n",
      " 48900K .......... .......... .......... .......... .......... 31%  795K 2m38s\n",
      " 48950K .......... .......... .......... .......... .......... 31%  782K 2m38s\n",
      " 49000K .......... .......... .......... .......... .......... 31%  690K 2m38s\n",
      " 49050K .......... .......... .......... .......... .......... 31%  781K 2m38s\n",
      " 49100K .......... .......... .......... .......... .......... 31%  591K 2m38s\n",
      " 49150K .......... .......... .......... .......... .......... 31%  785K 2m38s\n",
      " 49200K .......... .......... .......... .......... .......... 31%  685K 2m38s\n",
      " 49250K .......... .......... .......... .......... .......... 31%  788K 2m38s\n",
      " 49300K .......... .......... .......... .......... .......... 31%  780K 2m37s\n",
      " 49350K .......... .......... .......... .......... .......... 31%  789K 2m37s\n",
      " 49400K .......... .......... .......... .......... .......... 31%  691K 2m37s\n",
      " 49450K .......... .......... .......... .......... .......... 31%  718K 2m37s\n",
      " 49500K .......... .......... .......... .......... .......... 31%  638K 2m37s\n",
      " 49550K .......... .......... .......... .......... .......... 31%  967K 2m37s\n",
      " 49600K .......... .......... .......... .......... .......... 31%  275K 2m37s\n",
      " 49650K .......... .......... .......... .......... .......... 31%  248M 2m37s\n",
      " 49700K .......... .......... .......... .......... .......... 31% 1.60M 2m37s\n",
      " 49750K .......... .......... .......... .......... .......... 31%  685K 2m37s\n",
      " 49800K .......... .......... .......... .......... .......... 31%  791K 2m37s\n",
      " 49850K .......... .......... .......... .......... .......... 31%  783K 2m37s\n",
      " 49900K .......... .......... .......... .......... .......... 31%  590K 2m37s\n",
      " 49950K .......... .......... .......... .......... .......... 31%  687K 2m36s\n",
      " 50000K .......... .......... .......... .......... .......... 31%  784K 2m36s\n",
      " 50050K .......... .......... .......... .......... .......... 32%  790K 2m36s\n",
      " 50100K .......... .......... .......... .......... .......... 32%  780K 2m36s\n",
      " 50150K .......... .......... .......... .......... .......... 32%  698K 2m36s\n",
      " 50200K .......... .......... .......... .......... .......... 32%  783K 2m36s\n",
      " 50250K .......... .......... .......... .......... .......... 32%  590K 2m36s\n",
      " 50300K .......... .......... .......... .......... .......... 32%  968K 2m36s\n",
      " 50350K .......... .......... .......... .......... .......... 32%  590K 2m36s\n",
      " 50400K .......... .......... .......... .......... .......... 32%  788K 2m36s\n",
      " 50450K .......... .......... .......... .......... .......... 32%  783K 2m36s\n",
      " 50500K .......... .......... .......... .......... .......... 32%  690K 2m36s\n",
      " 50550K .......... .......... .......... .......... .......... 32%  786K 2m35s\n",
      " 50600K .......... .......... .......... .......... .......... 32%  784K 2m35s\n",
      " 50650K .......... .......... .......... .......... .......... 32%  588K 2m35s\n",
      " 50700K .......... .......... .......... .......... .......... 32%  949K 2m35s\n",
      " 50750K .......... .......... .......... .......... .......... 32%  505K 2m35s\n",
      " 50800K .......... .......... .......... .......... .......... 32% 1.01M 2m35s\n",
      " 50850K .......... .......... .......... .......... .......... 32%  785K 2m35s\n",
      " 50900K .......... .......... .......... .......... .......... 32%  693K 2m35s\n",
      " 50950K .......... .......... .......... .......... .......... 32%  785K 2m35s\n",
      " 51000K .......... .......... .......... .......... .......... 32%  785K 2m35s\n",
      " 51050K .......... .......... .......... .......... .......... 32%  688K 2m35s\n",
      " 51100K .......... .......... .......... .......... .......... 32%  783K 2m34s\n",
      " 51150K .......... .......... .......... .......... .......... 32%  588K 2m34s\n",
      " 51200K .......... .......... .......... .......... .......... 32%  793K 2m34s\n",
      " 51250K .......... .......... .......... .......... .......... 32%  684K 2m34s\n",
      " 51300K .......... .......... .......... .......... .......... 32%  791K 2m34s\n",
      " 51350K .......... .......... .......... .......... .......... 32%  733K 2m34s\n",
      " 51400K .......... .......... .......... .......... .......... 32%  842K 2m34s\n",
      " 51450K .......... .......... .......... .......... .......... 32%  690K 2m34s\n",
      " 51500K .......... .......... .......... .......... .......... 32%  589K 2m34s\n",
      " 51550K .......... .......... .......... .......... .......... 32%  782K 2m34s\n",
      " 51600K .......... .......... .......... .......... .......... 32%  788K 2m34s\n",
      " 51650K .......... .......... .......... .......... .......... 33%  694K 2m34s\n",
      " 51700K .......... .......... .......... .......... .......... 33%  786K 2m34s\n",
      " 51750K .......... .......... .......... .......... .......... 33%  778K 2m33s\n",
      " 51800K .......... .......... .......... .......... .......... 33%  688K 2m33s\n",
      " 51850K .......... .......... .......... .......... .......... 33%  791K 2m33s\n",
      " 51900K .......... .......... .......... .......... .......... 33%  594K 2m33s\n",
      " 51950K .......... .......... .......... .......... .......... 33%  780K 2m33s\n",
      " 52000K .......... .......... .......... .......... .......... 33%  684K 2m33s\n",
      " 52050K .......... .......... .......... .......... .......... 33%  790K 2m33s\n",
      " 52100K .......... .......... .......... .......... .......... 33%  784K 2m33s\n",
      " 52150K .......... .......... .......... .......... .......... 33%  785K 2m33s\n",
      " 52200K .......... .......... .......... .......... .......... 33%  689K 2m33s\n",
      " 52250K .......... .......... .......... .......... .......... 33%  782K 2m33s\n",
      " 52300K .......... .......... .......... .......... .......... 33%  592K 2m33s\n",
      " 52350K .......... .......... .......... .......... .......... 33%  787K 2m32s\n",
      " 52400K .......... .......... .......... .......... .......... 33%  690K 2m32s\n",
      " 52450K .......... .......... .......... .......... .......... 33%  792K 2m32s\n",
      " 52500K .......... .......... .......... .......... .......... 33%  781K 2m32s\n",
      " 52550K .......... .......... .......... .......... .......... 33%  789K 2m32s\n",
      " 52600K .......... .......... .......... .......... .......... 33%  684K 2m32s\n",
      " 52650K .......... .......... .......... .......... .......... 33%  781K 2m32s\n",
      " 52700K .......... .......... .......... .......... .......... 33%  584K 2m32s\n",
      " 52750K .......... .......... .......... .......... .......... 33%  979K 2m32s\n",
      " 52800K .......... .......... .......... .......... .......... 33%  251K 2m32s\n",
      " 52850K .......... .......... .......... .......... .......... 33%  290M 2m32s\n",
      " 52900K .......... .......... .......... .......... .......... 33% 4.01M 2m32s\n",
      " 52950K .......... .......... .......... .......... .......... 33%  686K 2m31s\n",
      " 53000K .......... .......... .......... .......... .......... 33%  788K 2m31s\n",
      " 53050K .......... .......... .......... .......... .......... 33%  785K 2m31s\n",
      " 53100K .......... .......... .......... .......... .......... 33%  591K 2m31s\n",
      " 53150K .......... .......... .......... .......... .......... 33%  692K 2m31s\n",
      " 53200K .......... .......... .......... .......... .......... 34%  784K 2m31s\n",
      " 53250K .......... .......... .......... .......... .......... 34%  788K 2m31s\n",
      " 53300K .......... .......... .......... .......... .......... 34%  783K 2m31s\n",
      " 53350K .......... .......... .......... .......... .......... 34%  684K 2m31s\n",
      " 53400K .......... .......... .......... .......... .......... 34%  790K 2m31s\n",
      " 53450K .......... .......... .......... .......... .......... 34%  590K 2m31s\n",
      " 53500K .......... .......... .......... .......... .......... 34%  967K 2m31s\n",
      " 53550K .......... .......... .......... .......... .......... 34%  589K 2m30s\n",
      " 53600K .......... .......... .......... .......... .......... 34%  788K 2m30s\n",
      " 53650K .......... .......... .......... .......... .......... 34%  786K 2m30s\n",
      " 53700K .......... .......... .......... .......... .......... 34%  693K 2m30s\n",
      " 53750K .......... .......... .......... .......... .......... 34%  786K 2m30s\n",
      " 53800K .......... .......... .......... .......... .......... 34%  788K 2m30s\n",
      " 53850K .......... .......... .......... .......... .......... 34%  588K 2m30s\n",
      " 53900K .......... .......... .......... .......... .......... 34%  969K 2m30s\n",
      " 53950K .......... .......... .......... .......... .......... 34%  590K 2m30s\n",
      " 54000K .......... .......... .......... .......... .......... 34%  785K 2m30s\n",
      " 54050K .......... .......... .......... .......... .......... 34%  785K 2m30s\n",
      " 54100K .......... .......... .......... .......... .......... 34%  687K 2m30s\n",
      " 54150K .......... .......... .......... .......... .......... 34%  788K 2m29s\n",
      " 54200K .......... .......... .......... .......... .......... 34%  784K 2m29s\n",
      " 54250K .......... .......... .......... .......... .......... 34%  689K 2m29s\n",
      " 54300K .......... .......... .......... .......... .......... 34%  775K 2m29s\n",
      " 54350K .......... .......... .......... .......... .......... 34%  593K 2m29s\n",
      " 54400K .......... .......... .......... .......... .......... 34%  790K 2m29s\n",
      " 54450K .......... .......... .......... .......... .......... 34%  693K 2m29s\n",
      " 54500K .......... .......... .......... .......... .......... 34%  784K 2m29s\n",
      " 54550K .......... .......... .......... .......... .......... 34%  282K 2m29s\n",
      " 54600K .......... .......... .......... .......... .......... 34%  275M 2m29s\n",
      " 54650K .......... .......... .......... .......... .......... 34% 2.17M 2m29s\n",
      " 54700K .......... .......... .......... .......... .......... 34%  577K 2m29s\n",
      " 54750K .......... .......... .......... .......... .......... 35%  809K 2m29s\n",
      " 54800K .......... .......... .......... .......... .......... 35%  787K 2m28s\n",
      " 54850K .......... .......... .......... .......... .......... 35%  688K 2m28s\n",
      " 54900K .......... .......... .......... .......... .......... 35%  785K 2m28s\n",
      " 54950K .......... .......... .......... .......... .......... 35%  784K 2m28s\n",
      " 55000K .......... .......... .......... .......... .......... 35%  686K 2m28s\n",
      " 55050K .......... .......... .......... .......... .......... 35%  786K 2m28s\n",
      " 55100K .......... .......... .......... .......... .......... 35%  591K 2m28s\n",
      " 55150K .......... .......... .......... .......... .......... 35%  785K 2m28s\n",
      " 55200K .......... .......... .......... .......... .......... 35%  692K 2m28s\n",
      " 55250K .......... .......... .......... .......... .......... 35%  785K 2m28s\n",
      " 55300K .......... .......... .......... .......... .......... 35%  786K 2m28s\n",
      " 55350K .......... .......... .......... .......... .......... 35%  789K 2m28s\n",
      " 55400K .......... .......... .......... .......... .......... 35%  686K 2m27s\n",
      " 55450K .......... .......... .......... .......... .......... 35%  788K 2m27s\n",
      " 55500K .......... .......... .......... .......... .......... 35%  588K 2m27s\n",
      " 55550K .......... .......... .......... .......... .......... 35%  706K 2m27s\n",
      " 55600K .......... .......... .......... .......... .......... 35%  761K 2m27s\n",
      " 55650K .......... .......... .......... .......... .......... 35%  787K 2m27s\n",
      " 55700K .......... .......... .......... .......... .......... 35%  785K 2m27s\n",
      " 55750K .......... .......... .......... .......... .......... 35%  787K 2m27s\n",
      " 55800K .......... .......... .......... .......... .......... 35%  686K 2m27s\n",
      " 55850K .......... .......... .......... .......... .......... 35%  787K 2m27s\n",
      " 55900K .......... .......... .......... .......... .......... 35%  723K 2m27s\n",
      " 55950K .......... .......... .......... .......... .......... 35%  306K 2m27s\n",
      " 56000K .......... .......... .......... .......... .......... 35%  334M 2m27s\n",
      " 56050K .......... .......... .......... .......... .......... 35%  906K 2m26s\n",
      " 56100K .......... .......... .......... .......... .......... 35%  784K 2m26s\n",
      " 56150K .......... .......... .......... .......... .......... 35%  722K 2m26s\n",
      " 56200K .......... .......... .......... .......... .......... 35%  564K 2m26s\n",
      " 56250K .......... .......... .......... .......... .......... 35%  225K 2m26s\n",
      " 56300K .......... .......... .......... .......... .......... 35%  205K 2m27s\n",
      " 56350K .......... .......... .......... .......... .......... 36%  114M 2m26s\n",
      " 56400K .......... .......... .......... .......... .......... 36%  263K 2m27s\n",
      " 56450K .......... .......... .......... .......... .......... 36% 4.25M 2m26s\n",
      " 56500K .......... .......... .......... .......... .......... 36%  554K 2m26s\n",
      " 56550K .......... .......... .......... .......... .......... 36%  257K 2m26s\n",
      " 56600K .......... .......... .......... .......... .......... 36%  500K 2m26s\n",
      " 56650K .......... .......... .......... .......... .......... 36%  921K 2m26s\n",
      " 56700K .......... .......... .......... .......... .......... 36%  394K 2m26s\n",
      " 56750K .......... .......... .......... .......... .......... 36%  478K 2m26s\n",
      " 56800K .......... .......... .......... .......... .......... 36%  301K 2m26s\n",
      " 56850K .......... .......... .......... .......... .......... 36%  592K 2m26s\n",
      " 56900K .......... .......... .......... .......... .......... 36%  703K 2m26s\n",
      " 56950K .......... .......... .......... .......... .......... 36%  634K 2m26s\n",
      " 57000K .......... .......... .......... .......... .......... 36%  719K 2m26s\n",
      " 57050K .......... .......... .......... .......... .......... 36%  635K 2m26s\n",
      " 57100K .......... .......... .......... .......... .......... 36%  525K 2m26s\n",
      " 57150K .......... .......... .......... .......... .......... 36%  532K 2m26s\n",
      " 57200K .......... .......... .......... .......... .......... 36%  746K 2m26s\n",
      " 57250K .......... .......... .......... .......... .......... 36%  569K 2m26s\n",
      " 57300K .......... .......... .......... .......... .......... 36%  808K 2m26s\n",
      " 57350K .......... .......... .......... .......... .......... 36%  651K 2m26s\n",
      " 57400K .......... .......... .......... .......... .......... 36%  724K 2m26s\n",
      " 57450K .......... .......... .......... .......... .......... 36%  590K 2m26s\n",
      " 57500K .......... .......... .......... .......... .......... 36%  962K 2m25s\n",
      " 57550K .......... .......... .......... .......... .......... 36%  582K 2m25s\n",
      " 57600K .......... .......... .......... .......... .......... 36%  717K 2m25s\n",
      " 57650K .......... .......... .......... .......... .......... 36%  784K 2m25s\n",
      " 57700K .......... .......... .......... .......... .......... 36%  676K 2m25s\n",
      " 57750K .......... .......... .......... .......... .......... 36%  780K 2m25s\n",
      " 57800K .......... .......... .......... .......... .......... 36%  771K 2m25s\n",
      " 57850K .......... .......... .......... .......... .......... 36%  586K 2m25s\n",
      " 57900K .......... .......... .......... .......... .......... 37%  952K 2m25s\n",
      " 57950K .......... .......... .......... .......... .......... 37%  589K 2m25s\n",
      " 58000K .......... .......... .......... .......... .......... 37%  747K 2m25s\n",
      " 58050K .......... .......... .......... .......... .......... 37%  777K 2m25s\n",
      " 58100K .......... .......... .......... .......... .......... 37%  647K 2m25s\n",
      " 58150K .......... .......... .......... .......... .......... 37%  769K 2m24s\n",
      " 58200K .......... .......... .......... .......... .......... 37%  787K 2m24s\n",
      " 58250K .......... .......... .......... .......... .......... 37%  612K 2m24s\n",
      " 58300K .......... .......... .......... .......... .......... 37%  865K 2m24s\n",
      " 58350K .......... .......... .......... .......... .......... 37%  549K 2m24s\n",
      " 58400K .......... .......... .......... .......... .......... 37%  766K 2m24s\n",
      " 58450K .......... .......... .......... .......... .......... 37%  678K 2m24s\n",
      " 58500K .......... .......... .......... .......... .......... 37%  768K 2m24s\n",
      " 58550K .......... .......... .......... .......... .......... 37%  746K 2m24s\n",
      " 58600K .......... .......... .......... .......... .......... 37%  773K 2m24s\n",
      " 58650K .......... .......... .......... .......... .......... 37%  681K 2m24s\n",
      " 58700K .......... .......... .......... .......... .......... 37%  533K 2m24s\n",
      " 58750K .......... .......... .......... .......... .......... 37%  774K 2m24s\n",
      " 58800K .......... .......... .......... .......... .......... 37%  786K 2m23s\n",
      " 58850K .......... .......... .......... .......... .......... 37%  677K 2m23s\n",
      " 58900K .......... .......... .......... .......... .......... 37%  756K 2m23s\n",
      " 58950K .......... .......... .......... .......... .......... 37%  765K 2m23s\n",
      " 59000K .......... .......... .......... .......... .......... 37%  687K 2m23s\n",
      " 59050K .......... .......... .......... .......... .......... 37%  777K 2m23s\n",
      " 59100K .......... .......... .......... .......... .......... 37%  582K 2m23s\n",
      " 59150K .......... .......... .......... .......... .......... 37%  785K 2m23s\n",
      " 59200K .......... .......... .......... .......... .......... 37%  660K 2m23s\n",
      " 59250K .......... .......... .......... .......... .......... 37%  757K 2m23s\n",
      " 59300K .......... .......... .......... .......... .......... 37%  777K 2m23s\n",
      " 59350K .......... .......... .......... .......... .......... 37%  777K 2m23s\n",
      " 59400K .......... .......... .......... .......... .......... 37%  792K 2m23s\n",
      " 59450K .......... .......... .......... .......... .......... 38%  591K 2m22s\n",
      " 59500K .......... .......... .......... .......... .......... 38%  779K 2m22s\n",
      " 59550K .......... .......... .......... .......... .......... 38%  792K 2m22s\n",
      " 59600K .......... .......... .......... .......... .......... 38%  788K 2m22s\n",
      " 59650K .......... .......... .......... .......... .......... 38%  589K 2m22s\n",
      " 59700K .......... .......... .......... .......... .......... 38%  786K 2m22s\n",
      " 59750K .......... .......... .......... .......... .......... 38%  784K 2m22s\n",
      " 59800K .......... .......... .......... .......... .......... 38%  747K 2m22s\n",
      " 59850K .......... .......... .......... .......... .......... 38%  787K 2m22s\n",
      " 59900K .......... .......... .......... .......... .......... 38%  590K 2m22s\n",
      " 59950K .......... .......... .......... .......... .......... 38%  788K 2m22s\n",
      " 60000K .......... .......... .......... .......... .......... 38%  685K 2m22s\n",
      " 60050K .......... .......... .......... .......... .......... 38%  788K 2m21s\n",
      " 60100K .......... .......... .......... .......... .......... 38%  781K 2m21s\n",
      " 60150K .......... .......... .......... .......... .......... 38%  770K 2m21s\n",
      " 60200K .......... .......... .......... .......... .......... 38%  697K 2m21s\n",
      " 60250K .......... .......... .......... .......... .......... 38%  721K 2m21s\n",
      " 60300K .......... .......... .......... .......... .......... 38%  636K 2m21s\n",
      " 60350K .......... .......... .......... .......... .......... 38%  954K 2m21s\n",
      " 60400K .......... .......... .......... .......... .......... 38%  594K 2m21s\n",
      " 60450K .......... .......... .......... .......... .......... 38%  785K 2m21s\n",
      " 60500K .......... .......... .......... .......... .......... 38%  764K 2m21s\n",
      " 60550K .......... .......... .......... .......... .......... 38%  715K 2m21s\n",
      " 60600K .......... .......... .......... .......... .......... 38%  782K 2m21s\n",
      " 60650K .......... .......... .......... .......... .......... 38%  591K 2m21s\n",
      " 60700K .......... .......... .......... .......... .......... 38%  737K 2m20s\n",
      " 60750K .......... .......... .......... .......... .......... 38%  729K 2m20s\n",
      " 60800K .......... .......... .......... .......... .......... 38%  785K 2m20s\n",
      " 60850K .......... .......... .......... .......... .......... 38%  771K 2m20s\n",
      " 60900K .......... .......... .......... .......... .......... 38%  758K 2m20s\n",
      " 60950K .......... .......... .......... .......... .......... 38%  722K 2m20s\n",
      " 61000K .......... .......... .......... .......... .......... 38%  786K 2m20s\n",
      " 61050K .......... .......... .......... .......... .......... 39%  591K 2m20s\n",
      " 61100K .......... .......... .......... .......... .......... 39%  976K 2m20s\n",
      " 61150K .......... .......... .......... .......... .......... 39%  592K 2m20s\n",
      " 61200K .......... .......... .......... .......... .......... 39%  785K 2m20s\n",
      " 61250K .......... .......... .......... .......... .......... 39%  662K 2m20s\n",
      " 61300K .......... .......... .......... .......... .......... 39%  822K 2m19s\n",
      " 61350K .......... .......... .......... .......... .......... 39%  779K 2m19s\n",
      " 61400K .......... .......... .......... .......... .......... 39%  788K 2m19s\n",
      " 61450K .......... .......... .......... .......... .......... 39%  587K 2m19s\n",
      " 61500K .......... .......... .......... .......... .......... 39%  978K 2m19s\n",
      " 61550K .......... .......... .......... .......... .......... 39%  591K 2m19s\n",
      " 61600K .......... .......... .......... .......... .......... 39%  786K 2m19s\n",
      " 61650K .......... .......... .......... .......... .......... 39%  785K 2m19s\n",
      " 61700K .......... .......... .......... .......... .......... 39%  610K 2m19s\n",
      " 61750K .......... .......... .......... .......... .......... 39%  671K 2m19s\n",
      " 61800K .......... .......... .......... .......... .......... 39% 1.11M 2m19s\n",
      " 61850K .......... .......... .......... .......... .......... 39%  697K 2m19s\n",
      " 61900K .......... .......... .......... .......... .......... 39%  590K 2m19s\n",
      " 61950K .......... .......... .......... .......... .......... 39%  778K 2m18s\n",
      " 62000K .......... .......... .......... .......... .......... 39%  793K 2m18s\n",
      " 62050K .......... .......... .......... .......... .......... 39%  686K 2m18s\n",
      " 62100K .......... .......... .......... .......... .......... 39%  779K 2m18s\n",
      " 62150K .......... .......... .......... .......... .......... 39%  794K 2m18s\n",
      " 62200K .......... .......... .......... .......... .......... 39%  589K 2m18s\n",
      " 62250K .......... .......... .......... .......... .......... 39%  956K 2m18s\n",
      " 62300K .......... .......... .......... .......... .......... 39%  594K 2m18s\n",
      " 62350K .......... .......... .......... .......... .......... 39%  789K 2m18s\n",
      " 62400K .......... .......... .......... .......... .......... 39%  783K 2m18s\n",
      " 62450K .......... .......... .......... .......... .......... 39%  683K 2m18s\n",
      " 62500K .......... .......... .......... .......... .......... 39%  791K 2m18s\n",
      " 62550K .......... .......... .......... .......... .......... 39%  779K 2m17s\n",
      " 62600K .......... .......... .......... .......... .......... 40%  615K 2m17s\n",
      " 62650K .......... .......... .......... .......... .......... 40%  921K 2m17s\n",
      " 62700K .......... .......... .......... .......... .......... 40%  591K 2m17s\n",
      " 62750K .......... .......... .......... .......... .......... 40%  787K 2m17s\n",
      " 62800K .......... .......... .......... .......... .......... 40%  684K 2m17s\n",
      " 62850K .......... .......... .......... .......... .......... 40%  789K 2m17s\n",
      " 62900K .......... .......... .......... .......... .......... 40%  786K 2m17s\n",
      " 62950K .......... .......... .......... .......... .......... 40%  785K 2m17s\n",
      " 63000K .......... .......... .......... .......... .......... 40%  683K 2m17s\n",
      " 63050K .......... .......... .......... .......... .......... 40%  789K 2m17s\n",
      " 63100K .......... .......... .......... .......... .......... 40%  589K 2m17s\n",
      " 63150K .......... .......... .......... .......... .......... 40%  784K 2m16s\n",
      " 63200K .......... .......... .......... .......... .......... 40%  683K 2m16s\n",
      " 63250K .......... .......... .......... .......... .......... 40%  789K 2m16s\n",
      " 63300K .......... .......... .......... .......... .......... 40%  789K 2m16s\n",
      " 63350K .......... .......... .......... .......... .......... 40%  693K 2m16s\n",
      " 63400K .......... .......... .......... .......... .......... 40%  786K 2m16s\n",
      " 63450K .......... .......... .......... .......... .......... 40%  784K 2m16s\n",
      " 63500K .......... .......... .......... .......... .......... 40%  591K 2m16s\n",
      " 63550K .......... .......... .......... .......... .......... 40%  681K 2m16s\n",
      " 63600K .......... .......... .......... .......... .......... 40%  791K 2m16s\n",
      " 63650K .......... .......... .......... .......... .......... 40%  788K 2m16s\n",
      " 63700K .......... .......... .......... .......... .......... 40%  776K 2m16s\n",
      " 63750K .......... .......... .......... .......... .......... 40%  689K 2m16s\n",
      " 63800K .......... .......... .......... .......... .......... 40%  766K 2m15s\n",
      " 63850K .......... .......... .......... .......... .......... 40%  594K 2m15s\n",
      " 63900K .......... .......... .......... .......... .......... 40%  301K 2m15s\n",
      " 63950K .......... .......... .......... .......... .......... 40%  668K 2m15s\n",
      " 64000K .......... .......... .......... .......... .......... 40% 36.3M 2m15s\n",
      " 64050K .......... .......... .......... .......... .......... 40% 1.56M 2m15s\n",
      " 64100K .......... .......... .......... .......... .......... 40%  719K 2m15s\n",
      " 64150K .......... .......... .......... .......... .......... 41%  785K 2m15s\n",
      " 64200K .......... .......... .......... .......... .......... 41%  770K 2m15s\n",
      " 64250K .......... .......... .......... .......... .......... 41%  590K 2m15s\n",
      " 64300K .......... .......... .......... .......... .......... 41%  928K 2m15s\n",
      " 64350K .......... .......... .......... .......... .......... 41%  583K 2m15s\n",
      " 64400K .......... .......... .......... .......... .......... 41%  788K 2m15s\n",
      " 64450K .......... .......... .......... .......... .......... 41%  772K 2m14s\n",
      " 64500K .......... .......... .......... .......... .......... 41%  599K 2m14s\n",
      " 64550K .......... .......... .......... .......... .......... 41%  773K 2m14s\n",
      " 64600K .......... .......... .......... .......... .......... 41%  793K 2m14s\n",
      " 64650K .......... .......... .......... .......... .......... 41%  516K 2m14s\n",
      " 64700K .......... .......... .......... .......... .......... 41%  964K 2m14s\n",
      " 64750K .......... .......... .......... .......... .......... 41%  585K 2m14s\n",
      " 64800K .......... .......... .......... .......... .......... 41%  785K 2m14s\n",
      " 64850K .......... .......... .......... .......... .......... 41%  672K 2m14s\n",
      " 64900K .......... .......... .......... .......... .......... 41%  815K 2m14s\n",
      " 64950K .......... .......... .......... .......... .......... 41%  785K 2m14s\n",
      " 65000K .......... .......... .......... .......... .......... 41%  786K 2m14s\n",
      " 65050K .......... .......... .......... .......... .......... 41%  688K 2m14s\n",
      " 65100K .......... .......... .......... .......... .......... 41%  589K 2m13s\n",
      " 65150K .......... .......... .......... .......... .......... 41%  775K 2m13s\n",
      " 65200K .......... .......... .......... .......... .......... 41%  729K 2m13s\n",
      " 65250K .......... .......... .......... .......... .......... 41%  681K 2m13s\n",
      " 65300K .......... .......... .......... .......... .......... 41%  784K 2m13s\n",
      " 65350K .......... .......... .......... .......... .......... 41%  767K 2m13s\n",
      " 65400K .......... .......... .......... .......... .......... 41%  594K 2m13s\n",
      " 65450K .......... .......... .......... .......... .......... 41%  942K 2m13s\n",
      " 65500K .......... .......... .......... .......... .......... 41%  760K 2m13s\n",
      " 65550K .......... .......... .......... .......... .......... 41%  581K 2m13s\n",
      " 65600K .......... .......... .......... .......... .......... 41%  709K 2m13s\n",
      " 65650K .......... .......... .......... .......... .......... 41%  241K 2m13s\n",
      " 65700K .......... .......... .......... .......... .......... 42% 1.68M 2m13s\n",
      " 65750K .......... .......... .......... .......... .......... 42%  156M 2m12s\n",
      " 65800K .......... .......... .......... .......... .......... 42% 1.30M 2m12s\n",
      " 65850K .......... .......... .......... .......... .......... 42%  772K 2m12s\n",
      " 65900K .......... .......... .......... .......... .......... 42%  585K 2m12s\n",
      " 65950K .......... .......... .......... .......... .......... 42%  782K 2m12s\n",
      " 66000K .......... .......... .......... .......... .......... 42%  638K 2m12s\n",
      " 66050K .......... .......... .......... .......... .......... 42%  787K 2m12s\n",
      " 66100K .......... .......... .......... .......... .......... 42%  777K 2m12s\n",
      " 66150K .......... .......... .......... .......... .......... 42%  779K 2m12s\n",
      " 66200K .......... .......... .......... .......... .......... 42%  681K 2m12s\n",
      " 66250K .......... .......... .......... .......... .......... 42%  778K 2m12s\n",
      " 66300K .......... .......... .......... .......... .......... 42%  581K 2m12s\n",
      " 66350K .......... .......... .......... .......... .......... 42%  657K 2m12s\n",
      " 66400K .......... .......... .......... .......... .......... 42%  107K 2m12s\n",
      " 66450K .......... .......... .......... .......... .......... 42%  197M 2m12s\n",
      " 66500K .......... .......... .......... .......... .......... 42% 2.01M 2m12s\n",
      " 66550K .......... .......... .......... .......... .......... 42%  276K 2m12s\n",
      " 66600K .......... .......... .......... .......... .......... 42%  830K 2m12s\n",
      " 66650K .......... .......... .......... .......... .......... 42%  325K 2m12s\n",
      " 66700K .......... .......... .......... .......... .......... 42% 3.64M 2m12s\n",
      " 66750K .......... .......... .......... .......... .......... 42%  718K 2m11s\n",
      " 66800K .......... .......... .......... .......... .......... 42%  469K 2m11s\n",
      " 66850K .......... .......... .......... .......... .......... 42%  231K 2m12s\n",
      " 66900K .......... .......... .......... .......... .......... 42%  400K 2m12s\n",
      " 66950K .......... .......... .......... .......... .......... 42% 1.03M 2m11s\n",
      " 67000K .......... .......... .......... .......... .......... 42%  437K 2m11s\n",
      " 67050K .......... .......... .......... .......... .......... 42%  301K 2m11s\n",
      " 67100K .......... .......... .......... .......... .......... 42%  218K 2m12s\n",
      " 67150K .......... .......... .......... .......... .......... 42%  515K 2m12s\n",
      " 67200K .......... .......... .......... .......... .......... 42%  566K 2m12s\n",
      " 67250K .......... .......... .......... .......... .......... 42%  344K 2m12s\n",
      " 67300K .......... .......... .......... .......... .......... 43%  325K 2m12s\n",
      " 67350K .......... .......... .......... .......... .......... 43%  346K 2m12s\n",
      " 67400K .......... .......... .......... .......... .......... 43%  281K 2m12s\n",
      " 67450K .......... .......... .......... .......... .......... 43%  328K 2m12s\n",
      " 67500K .......... .......... .......... .......... .......... 43%  415K 2m12s\n",
      " 67550K .......... .......... .......... .......... .......... 43%  241K 2m12s\n",
      " 67600K .......... .......... .......... .......... .......... 43%  257K 2m12s\n",
      " 67650K .......... .......... .......... .......... .......... 43%  417K 2m12s\n",
      " 67700K .......... .......... .......... .......... .......... 43%  262K 2m12s\n",
      " 67750K .......... .......... .......... .......... .......... 43%  192K 2m12s\n",
      " 67800K .......... .......... .......... .......... .......... 43%  556K 2m12s\n",
      " 67850K .......... .......... .......... .......... .......... 43%  252K 2m12s\n",
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    },
    {
     "name": "stderr",
     "output_type": "stream",
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      " 79400K .......... .......... .......... .......... .......... 50% 1014K 1m57s\n",
      " 79450K .......... .......... .......... .......... .......... 50%  642K 1m57s\n",
      " 79500K .......... .......... .......... .......... .......... 50%  559K 1m57s\n",
      " 79550K .......... .......... .......... .......... .......... 50%  929K 1m57s\n",
      " 79600K .......... .......... .......... .......... .......... 50%  783K 1m57s\n",
      " 79650K .......... .......... .......... .......... .......... 50%  688K 1m57s\n",
      " 79700K .......... .......... .......... .......... .......... 50%  785K 1m57s\n",
      " 79750K .......... .......... .......... .......... .......... 50%  785K 1m57s\n",
      " 79800K .......... .......... .......... .......... .......... 51%  590K 1m57s\n",
      " 79850K .......... .......... .......... .......... .......... 51%  964K 1m57s\n",
      " 79900K .......... .......... .......... .......... .......... 51%  590K 1m57s\n",
      " 79950K .......... .......... .......... .......... .......... 51%  789K 1m56s\n",
      " 80000K .......... .......... .......... .......... .......... 51%  673K 1m56s\n",
      " 80050K .......... .......... .......... .......... .......... 51%  810K 1m56s\n",
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      " 80150K .......... .......... .......... .......... .......... 51%  776K 1m56s\n",
      " 80200K .......... .......... .......... .......... .......... 51%  693K 1m56s\n",
      " 80250K .......... .......... .......... .......... .......... 51%  784K 1m56s\n",
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      " 80350K .......... .......... .......... .......... .......... 51%  781K 1m56s\n",
      " 80400K .......... .......... .......... .......... .......... 51%  690K 1m56s\n",
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      " 82150K .......... .......... .......... .......... .......... 52%  789K 1m53s\n",
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      " 82250K .......... .......... .......... .......... .......... 52%  698K 1m53s\n",
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      " 91000K .......... .......... .......... .......... .......... 58%  857K 98s\n",
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      " 91100K .......... .......... .......... .......... .......... 58%  589K 98s\n",
      " 91150K .......... .......... .......... .......... .......... 58%  789K 98s\n",
      " 91200K .......... .......... .......... .......... .......... 58%  785K 98s\n",
      " 91250K .......... .......... .......... .......... .......... 58%  677K 98s\n",
      " 91300K .......... .......... .......... .......... .......... 58%  795K 98s\n",
      " 91350K .......... .......... .......... .......... .......... 58%  757K 98s\n",
      " 91400K .......... .......... .......... .......... .......... 58%  714K 98s\n",
      " 91450K .......... .......... .......... .......... .......... 58%  778K 98s\n",
      " 91500K .......... .......... .......... .......... .......... 58%  591K 98s\n",
      " 91550K .......... .......... .......... .......... .......... 58%  789K 98s\n",
      " 91600K .......... .......... .......... .......... .......... 58%  687K 98s\n",
      " 91650K .......... .......... .......... .......... .......... 58%  278K 98s\n",
      " 91700K .......... .......... .......... .......... .......... 58%  254M 97s\n",
      " 91750K .......... .......... .......... .......... .......... 58% 4.63M 97s\n",
      " 91800K .......... .......... .......... .......... .......... 58%  690K 97s\n",
      " 91850K .......... .......... .......... .......... .......... 58%  787K 97s\n",
      " 91900K .......... .......... .......... .......... .......... 58%  591K 97s\n",
      " 91950K .......... .......... .......... .......... .......... 58%  787K 97s\n",
      " 92000K .......... .......... .......... .......... .......... 58%  686K 97s\n",
      " 92050K .......... .......... .......... .......... .......... 58%  783K 97s\n",
      " 92100K .......... .......... .......... .......... .......... 58%  718K 97s\n",
      " 92150K .......... .......... .......... .......... .......... 58%  867K 97s\n",
      " 92200K .......... .......... .......... .......... .......... 58%  684K 97s\n",
      " 92250K .......... .......... .......... .......... .......... 58%  790K 96s\n",
      " 92300K .......... .......... .......... .......... .......... 58%  533K 96s\n",
      " 92350K .......... .......... .......... .......... .......... 59% 1.14M 96s\n",
      " 92400K .......... .......... .......... .......... .......... 59%  591K 96s\n",
      " 92450K .......... .......... .......... .......... .......... 59%  786K 96s\n",
      " 92500K .......... .......... .......... .......... .......... 59%  786K 96s\n",
      " 92550K .......... .......... .......... .......... .......... 59%  692K 96s\n",
      " 92600K .......... .......... .......... .......... .......... 59%  781K 96s\n",
      " 92650K .......... .......... .......... .......... .......... 59%  594K 96s\n",
      " 92700K .......... .......... .......... .......... .......... 59%  793K 96s\n",
      " 92750K .......... .......... .......... .......... .......... 59%  681K 96s\n",
      " 92800K .......... .......... .......... .......... .......... 59%  786K 96s\n",
      " 92850K .......... .......... .......... .......... .......... 59%  783K 96s\n",
      " 92900K .......... .......... .......... .......... .......... 59%  790K 95s\n",
      " 92950K .......... .......... .......... .......... .......... 59%  682K 95s\n",
      " 93000K .......... .......... .......... .......... .......... 59%  788K 95s\n",
      " 93050K .......... .......... .......... .......... .......... 59%  592K 95s\n",
      " 93100K .......... .......... .......... .......... .......... 59%  962K 95s\n",
      " 93150K .......... .......... .......... .......... .......... 59%  590K 95s\n",
      " 93200K .......... .......... .......... .......... .......... 59%  788K 95s\n",
      " 93250K .......... .......... .......... .......... .......... 59%  786K 95s\n",
      " 93300K .......... .......... .......... .......... .......... 59%  243K 95s\n",
      " 93350K .......... .......... .......... .......... .......... 59%  111M 95s\n",
      " 93400K .......... .......... .......... .......... .......... 59%  466K 95s\n",
      " 93450K .......... .......... .......... .......... .......... 59%  257M 95s\n",
      " 93500K .......... .......... .......... .......... .......... 59% 2.12M 94s\n",
      " 93550K .......... .......... .......... .......... .......... 59%  593K 94s\n",
      " 93600K .......... .......... .......... .......... .......... 59%  788K 94s\n",
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      " 94000K .......... .......... .......... .......... .......... 60%  787K 94s\n",
      " 94050K .......... .......... .......... .......... .......... 60%  690K 94s\n",
      " 94100K .......... .......... .......... .......... .......... 60%  787K 94s\n",
      " 94150K .......... .......... .......... .......... .......... 60%  786K 93s\n",
      " 94200K .......... .......... .......... .......... .......... 60%  591K 93s\n",
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      " 94650K .......... .......... .......... .......... .......... 60% 1.05M 93s\n",
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      "156200K .......... .......... .......... .......... .......... 99%  789K 0s\n",
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      "156500K .......... .......... .......... .......... ....      100%  838K=3m58s\n",
      "\n",
      "2022-10-13 17:20:21 (659 KB/s) - 'moviedataset.zip' saved [160301210/160301210]\n",
      "\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Archive:  moviedataset.zip\n",
      "  inflating: links.csv               \n",
      "  inflating: movies.csv              \n",
      "  inflating: ratings.csv             \n",
      "  inflating: README.txt              \n",
      "  inflating: tags.csv                \n"
     ]
    }
   ],
   "source": [
    "!wget -O moviedataset.zip https://cf-courses-data.s3.us.cloud-object-storage.appdomain.cloud/IBMDeveloperSkillsNetwork-ML0101EN-SkillsNetwork/labs/Module%205/data/moviedataset.zip\n",
    "print('unziping ...')\n",
    "!unzip -o -j moviedataset.zip "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Now you're ready to start working with the data!\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "<hr>\n",
    "\n",
    "<a id=\"ref2\"></a>\n",
    "\n",
    "# Preprocessing\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "First, let's get all of the imports out of the way:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [],
   "source": [
    "#Dataframe manipulation library\n",
    "import pandas as pd\n",
    "#Math functions, we'll only need the sqrt function so let's import only that\n",
    "from math import sqrt\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Now let's read each file into their Dataframes:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [],
   "source": [
    "#Storing the movie information into a pandas dataframe\n",
    "movies_df = pd.read_csv('movies.csv')\n",
    "#Storing the user information into a pandas dataframe\n",
    "ratings_df = pd.read_csv('ratings.csv')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Let's also take a peek at how each of them are organized:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>movieId</th>\n",
       "      <th>title</th>\n",
       "      <th>genres</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>Toy Story (1995)</td>\n",
       "      <td>Adventure|Animation|Children|Comedy|Fantasy</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>Jumanji (1995)</td>\n",
       "      <td>Adventure|Children|Fantasy</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>Grumpier Old Men (1995)</td>\n",
       "      <td>Comedy|Romance</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>Waiting to Exhale (1995)</td>\n",
       "      <td>Comedy|Drama|Romance</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>Father of the Bride Part II (1995)</td>\n",
       "      <td>Comedy</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   movieId                               title  \\\n",
       "0        1                    Toy Story (1995)   \n",
       "1        2                      Jumanji (1995)   \n",
       "2        3             Grumpier Old Men (1995)   \n",
       "3        4            Waiting to Exhale (1995)   \n",
       "4        5  Father of the Bride Part II (1995)   \n",
       "\n",
       "                                        genres  \n",
       "0  Adventure|Animation|Children|Comedy|Fantasy  \n",
       "1                   Adventure|Children|Fantasy  \n",
       "2                               Comedy|Romance  \n",
       "3                         Comedy|Drama|Romance  \n",
       "4                                       Comedy  "
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Head is a function that gets the first N rows of a dataframe. N's default is 5.\n",
    "movies_df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "So each movie has a unique ID, a title with its release year along with it (Which may contain unicode characters) and several different genres in the same field. Let's remove the year from the title column and place it into its own one by using the handy [extract](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.Series.str.extract.html?utm_medium=Exinfluencer&utm_source=Exinfluencer&utm_content=000026UJ&utm_term=10006555&utm_id=NA-SkillsNetwork-Channel-SkillsNetworkCoursesIBMDeveloperSkillsNetworkML0101ENSkillsNetwork20718538-2022-01-01#pandas.Series.str.extract) function that Pandas has.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Let's remove the year from the **title** column by using pandas' replace function and store it in a new **year** column.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    },
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "#Using regular expressions to find a year stored between parentheses\n",
    "#We specify the parantheses so we don't conflict with movies that have years in their titles\n",
    "movies_df['year'] = movies_df.title.str.extract('(\\(\\d\\d\\d\\d\\))',expand=False)\n",
    "#Removing the parentheses\n",
    "movies_df['year'] = movies_df.year.str.extract('(\\d\\d\\d\\d)',expand=False)\n",
    "#Removing the years from the 'title' column\n",
    "movies_df['title'] = movies_df.title.str.replace('(\\(\\d\\d\\d\\d\\))', '', regex=True)\n",
    "#Applying the strip function to get rid of any ending whitespace characters that may have appeared\n",
    "movies_df['title'] = movies_df['title'].apply(lambda x: x.strip())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Let's look at the result!\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    },
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>movieId</th>\n",
       "      <th>title</th>\n",
       "      <th>genres</th>\n",
       "      <th>year</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>Toy Story</td>\n",
       "      <td>Adventure|Animation|Children|Comedy|Fantasy</td>\n",
       "      <td>1995</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>Jumanji</td>\n",
       "      <td>Adventure|Children|Fantasy</td>\n",
       "      <td>1995</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>Grumpier Old Men</td>\n",
       "      <td>Comedy|Romance</td>\n",
       "      <td>1995</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>Waiting to Exhale</td>\n",
       "      <td>Comedy|Drama|Romance</td>\n",
       "      <td>1995</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>Father of the Bride Part II</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>1995</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   movieId                        title  \\\n",
       "0        1                    Toy Story   \n",
       "1        2                      Jumanji   \n",
       "2        3             Grumpier Old Men   \n",
       "3        4            Waiting to Exhale   \n",
       "4        5  Father of the Bride Part II   \n",
       "\n",
       "                                        genres  year  \n",
       "0  Adventure|Animation|Children|Comedy|Fantasy  1995  \n",
       "1                   Adventure|Children|Fantasy  1995  \n",
       "2                               Comedy|Romance  1995  \n",
       "3                         Comedy|Drama|Romance  1995  \n",
       "4                                       Comedy  1995  "
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "movies_df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "With that, let's also drop the genres column since we won't need it for this particular recommendation system.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    },
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "#Dropping the genres column\n",
    "movies_df = movies_df.drop('genres', axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Here's the final movies dataframe:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
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       "\n",
       "    .dataframe tbody tr th {\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>movieId</th>\n",
       "      <th>title</th>\n",
       "      <th>year</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>Toy Story</td>\n",
       "      <td>1995</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>Jumanji</td>\n",
       "      <td>1995</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>Grumpier Old Men</td>\n",
       "      <td>1995</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>Waiting to Exhale</td>\n",
       "      <td>1995</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>Father of the Bride Part II</td>\n",
       "      <td>1995</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   movieId                        title  year\n",
       "0        1                    Toy Story  1995\n",
       "1        2                      Jumanji  1995\n",
       "2        3             Grumpier Old Men  1995\n",
       "3        4            Waiting to Exhale  1995\n",
       "4        5  Father of the Bride Part II  1995"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "movies_df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
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     "read_only": false
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   "source": [
    "<br>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Next, let's look at the ratings dataframe.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
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    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>userId</th>\n",
       "      <th>movieId</th>\n",
       "      <th>rating</th>\n",
       "      <th>timestamp</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>169</td>\n",
       "      <td>2.5</td>\n",
       "      <td>1204927694</td>\n",
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       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>2471</td>\n",
       "      <td>3.0</td>\n",
       "      <td>1204927438</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>48516</td>\n",
       "      <td>5.0</td>\n",
       "      <td>1204927435</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2</td>\n",
       "      <td>2571</td>\n",
       "      <td>3.5</td>\n",
       "      <td>1436165433</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2</td>\n",
       "      <td>109487</td>\n",
       "      <td>4.0</td>\n",
       "      <td>1436165496</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   userId  movieId  rating   timestamp\n",
       "0       1      169     2.5  1204927694\n",
       "1       1     2471     3.0  1204927438\n",
       "2       1    48516     5.0  1204927435\n",
       "3       2     2571     3.5  1436165433\n",
       "4       2   109487     4.0  1436165496"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ratings_df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
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   },
   "source": [
    "Every row in the ratings dataframe has a user id associated with at least one movie, a rating and a timestamp showing when they reviewed it. We won't be needing the timestamp column, so let's drop it to save on memory.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "button": false,
    "new_sheet": false,
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   },
   "outputs": [],
   "source": [
    "#Drop removes a specified row or column from a dataframe\n",
    "ratings_df = ratings_df.drop('timestamp', axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
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   },
   "source": [
    "Here's how the final ratings Dataframe looks like:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
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   },
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>userId</th>\n",
       "      <th>movieId</th>\n",
       "      <th>rating</th>\n",
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       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>169</td>\n",
       "      <td>2.5</td>\n",
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       "    <tr>\n",
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       "      <td>1</td>\n",
       "      <td>2471</td>\n",
       "      <td>3.0</td>\n",
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       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>48516</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2</td>\n",
       "      <td>2571</td>\n",
       "      <td>3.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2</td>\n",
       "      <td>109487</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   userId  movieId  rating\n",
       "0       1      169     2.5\n",
       "1       1     2471     3.0\n",
       "2       1    48516     5.0\n",
       "3       2     2571     3.5\n",
       "4       2   109487     4.0"
      ]
     },
     "execution_count": 27,
     "metadata": {},
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    }
   ],
   "source": [
    "ratings_df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
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    "new_sheet": false,
    "run_control": {
     "read_only": false
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   },
   "source": [
    "<hr>\n",
    "\n",
    "<a id=\"ref3\"></a>\n",
    "\n",
    "# Collaborative Filtering\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
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   },
   "source": [
    "Now it's time to start our work on recommendation systems.\n",
    "\n",
    "The first technique we're going to take a look at is called **Collaborative Filtering**, which is also known as **User-User Filtering**. As hinted by its alternate name, this technique uses other users to recommend items to the input user. It attempts to find users that have similar preferences and opinions as the input and then recommends items that they have liked to the input. There are several methods of finding similar users (Even some making use of Machine Learning), and the one we will be using here is going to be based on the **Pearson Correlation Function**.\n",
    "\n",
    "<img src=\"https://cf-courses-data.s3.us.cloud-object-storage.appdomain.cloud/IBMDeveloperSkillsNetwork-ML0101EN-SkillsNetwork/labs/Module%205/images/User_Item.png\" width=800px>\n",
    "\n",
    "The process for creating a User Based recommendation system is as follows:\n",
    "\n",
    "*   Select a user with the movies the user has watched\n",
    "*   Based on his rating of the movies, find the top X neighbours\n",
    "*   Get the watched movie record of the user for each neighbour\n",
    "*   Calculate a similarity score using some formula\n",
    "*   Recommend the items with the highest score\n",
    "\n",
    "Let's begin by creating an input user to recommend movies to:\n",
    "\n",
    "Notice: To add more movies, simply increase the amount of elements in the userInput. Feel free to add more in! Just be sure to write it in with capital letters and if a movie starts with a \"The\", like \"The Matrix\" then write it in like this: 'Matrix, The' .\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
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   "outputs": [
    {
     "data": {
      "text/html": [
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>title</th>\n",
       "      <th>rating</th>\n",
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       "      <td>Breakfast Club, The</td>\n",
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       "      <td>Toy Story</td>\n",
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       "      <th>2</th>\n",
       "      <td>Jumanji</td>\n",
       "      <td>2.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Pulp Fiction</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Akira</td>\n",
       "      <td>4.5</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                 title  rating\n",
       "0  Breakfast Club, The     5.0\n",
       "1            Toy Story     3.5\n",
       "2              Jumanji     2.0\n",
       "3         Pulp Fiction     5.0\n",
       "4                Akira     4.5"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "userInput = [\n",
    "            {'title':'Breakfast Club, The', 'rating':5},\n",
    "            {'title':'Toy Story', 'rating':3.5},\n",
    "            {'title':'Jumanji', 'rating':2},\n",
    "            {'title':\"Pulp Fiction\", 'rating':5},\n",
    "            {'title':'Akira', 'rating':4.5}\n",
    "         ] \n",
    "inputMovies = pd.DataFrame(userInput)\n",
    "inputMovies"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
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   },
   "source": [
    "#### Add movieId to input user\n",
    "\n",
    "With the input complete, let's extract the input movies's ID's from the movies dataframe and add them into it.\n",
    "\n",
    "We can achieve this by first filtering out the rows that contain the input movies' title and then merging this subset with the input dataframe. We also drop unnecessary columns for the input to save memory space.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
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   "outputs": [
    {
     "data": {
      "text/html": [
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       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>movieId</th>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1274</td>\n",
       "      <td>Akira</td>\n",
       "      <td>4.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1968</td>\n",
       "      <td>Breakfast Club, The</td>\n",
       "      <td>5.0</td>\n",
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       "</table>\n",
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      ],
      "text/plain": [
       "   movieId                title  rating\n",
       "0        1            Toy Story     3.5\n",
       "1        2              Jumanji     2.0\n",
       "2      296         Pulp Fiction     5.0\n",
       "3     1274                Akira     4.5\n",
       "4     1968  Breakfast Club, The     5.0"
      ]
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     "metadata": {},
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   ],
   "source": [
    "#Filtering out the movies by title\n",
    "inputId = movies_df[movies_df['title'].isin(inputMovies['title'].tolist())]\n",
    "#Then merging it so we can get the movieId. It's implicitly merging it by title.\n",
    "inputMovies = pd.merge(inputId, inputMovies)\n",
    "#Dropping information we won't use from the input dataframe\n",
    "inputMovies = inputMovies.drop('year', axis=1)\n",
    "#Final input dataframe\n",
    "#If a movie you added in above isn't here, then it might not be in the original \n",
    "#dataframe or it might spelled differently, please check capitalisation.\n",
    "inputMovies"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "#### The users who has seen the same movies\n",
    "\n",
    "Now with the movie ID's in our input, we can now get the subset of users that have watched and reviewed the movies in our input.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
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   },
   "outputs": [
    {
     "data": {
      "text/html": [
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>userId</th>\n",
       "      <th>movieId</th>\n",
       "      <th>rating</th>\n",
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       "      <th>19</th>\n",
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      "text/plain": [
       "     userId  movieId  rating\n",
       "19        4      296     4.0\n",
       "441      12     1968     3.0\n",
       "479      13        2     2.0\n",
       "531      13     1274     5.0\n",
       "681      14      296     2.0"
      ]
     },
     "execution_count": 30,
     "metadata": {},
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    }
   ],
   "source": [
    "#Filtering out users that have watched movies that the input has watched and storing it\n",
    "userSubset = ratings_df[ratings_df['movieId'].isin(inputMovies['movieId'].tolist())]\n",
    "userSubset.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "We now group up the rows by user ID.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
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    }
   },
   "outputs": [],
   "source": [
    "#Groupby creates several sub dataframes where they all have the same value in the column specified as the parameter\n",
    "userSubsetGroup = userSubset.groupby(['userId'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Let's look at one of the users, e.g. the one with userID=1130.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "button": false,
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   },
   "outputs": [
    {
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       "      <th>104214</th>\n",
       "      <td>1130</td>\n",
       "      <td>296</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>104363</th>\n",
       "      <td>1130</td>\n",
       "      <td>1274</td>\n",
       "      <td>4.5</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>104443</th>\n",
       "      <td>1130</td>\n",
       "      <td>1968</td>\n",
       "      <td>4.5</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        userId  movieId  rating\n",
       "104167    1130        1     0.5\n",
       "104168    1130        2     4.0\n",
       "104214    1130      296     4.0\n",
       "104363    1130     1274     4.5\n",
       "104443    1130     1968     4.5"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "userSubsetGroup.get_group(1130)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Let's also sort these groups so the users that share the most movies in common with the input have higher priority. This provides a richer recommendation since we won't go through every single user.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [],
   "source": [
    "#Sorting it so users with movie most in common with the input will have priority\n",
    "userSubsetGroup = sorted(userSubsetGroup,  key=lambda x: len(x[1]), reverse=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Now let's look at the first user.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[(75,\n",
       "        userId  movieId  rating\n",
       "  7507      75        1     5.0\n",
       "  7508      75        2     3.5\n",
       "  7540      75      296     5.0\n",
       "  7633      75     1274     4.5\n",
       "  7673      75     1968     5.0),\n",
       " (106,\n",
       "        userId  movieId  rating\n",
       "  9083     106        1     2.5\n",
       "  9084     106        2     3.0\n",
       "  9115     106      296     3.5\n",
       "  9198     106     1274     3.0\n",
       "  9238     106     1968     3.5),\n",
       " (686,\n",
       "         userId  movieId  rating\n",
       "  61336     686        1     4.0\n",
       "  61337     686        2     3.0\n",
       "  61377     686      296     4.0\n",
       "  61478     686     1274     4.0\n",
       "  61569     686     1968     5.0)]"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "userSubsetGroup[0:3]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "#### Similarity of users to input user\n",
    "\n",
    "Next, we are going to compare all users (not really all !!!) to our specified user and find the one that is most similar.\\\n",
    "We're going to find out how similar each user is to the input through the **Pearson Correlation Coefficient**. It is used to measure the strength of a linear association between the two variables. The formula for finding this coefficient between sets X and Y with N values can be seen in the image below.\n",
    "\n",
    "Why Pearson Correlation?\n",
    "\n",
    "Pearson correlation is invariant to scaling, i.e. multiplying all elements by a nonzero constant or adding any constant to all elements. For example, if you have two vectors X and Y, then, pearson(X, Y) == pearson(X, 2 \\* Y + 3). This is a pretty important property in recommendation systems because, for example, two users might rate two series of items totally differently in terms of absolute rates, but they would be similar users (i.e. with similar ideas) with similar rates in various scales .\n",
    "\n",
    "![alt text](https://wikimedia.org/api/rest_v1/media/math/render/svg/bd1ccc2979b0fd1c1aec96e386f686ae874f9ec0 \"Pearson Correlation\")\n",
    "\n",
    "The values given by the formula vary from r = -1 to r = 1, where 1 forms a direct correlation between the two entities (it means a perfect positive correlation) and -1 forms a perfect negative correlation.\n",
    "\n",
    "In our case, a 1 means that the two users have similar tastes while a -1 means the opposite.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "We will select a subset of users to iterate through. This limit is imposed because we don't want to waste too much time going through every single user.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [],
   "source": [
    "userSubsetGroup = userSubsetGroup[0:100]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "source": [
    "Now, we calculate the Pearson Correlation between input user and subset group, and store it in a dictionary, where the key is the user Id and the value is the coefficient.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    },
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "#Store the Pearson Correlation in a dictionary, where the key is the user Id and the value is the coefficient\n",
    "pearsonCorrelationDict = {}\n",
    "\n",
    "#For every user group in our subset\n",
    "for name, group in userSubsetGroup:\n",
    "    #Let's start by sorting the input and current user group so the values aren't mixed up later on\n",
    "    group = group.sort_values(by='movieId')\n",
    "    inputMovies = inputMovies.sort_values(by='movieId')\n",
    "    #Get the N for the formula\n",
    "    nRatings = len(group)\n",
    "    #Get the review scores for the movies that they both have in common\n",
    "    temp_df = inputMovies[inputMovies['movieId'].isin(group['movieId'].tolist())]\n",
    "    #And then store them in a temporary buffer variable in a list format to facilitate future calculations\n",
    "    tempRatingList = temp_df['rating'].tolist()\n",
    "    #Let's also put the current user group reviews in a list format\n",
    "    tempGroupList = group['rating'].tolist()\n",
    "    #Now let's calculate the pearson correlation between two users, so called, x and y\n",
    "    Sxx = sum([i**2 for i in tempRatingList]) - pow(sum(tempRatingList),2)/float(nRatings)\n",
    "    Syy = sum([i**2 for i in tempGroupList]) - pow(sum(tempGroupList),2)/float(nRatings)\n",
    "    Sxy = sum( i*j for i, j in zip(tempRatingList, tempGroupList)) - sum(tempRatingList)*sum(tempGroupList)/float(nRatings)\n",
    "    \n",
    "    #If the denominator is different than zero, then divide, else, 0 correlation.\n",
    "    if Sxx != 0 and Syy != 0:\n",
    "        pearsonCorrelationDict[name] = Sxy/sqrt(Sxx*Syy)\n",
    "    else:\n",
    "        pearsonCorrelationDict[name] = 0\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dict_items([(75, 0.8272781516947562), (106, 0.5860090386731182), (686, 0.8320502943378437), (815, 0.5765566601970551), (1040, 0.9434563530497265), (1130, 0.2891574659831201), (1502, 0.8770580193070299), (1599, 0.4385290096535153), (1625, 0.716114874039432), (1950, 0.179028718509858), (2065, 0.4385290096535153), (2128, 0.5860090386731196), (2432, 0.1386750490563073), (2791, 0.8770580193070299), (2839, 0.8204126541423674), (2948, -0.11720180773462392), (3025, 0.45124262819713973), (3040, 0.89514359254929), (3186, 0.6784622064861935), (3271, 0.26989594817970664), (3429, 0.0), (3734, -0.15041420939904673), (4099, 0.05860090386731196), (4208, 0.29417420270727607), (4282, -0.4385290096535115), (4292, 0.6564386345361464), (4415, -0.11183835382312353), (4586, -0.9024852563942795), (4725, -0.08006407690254357), (4818, 0.4885967564883424), (5104, 0.7674257668936507), (5165, -0.4385290096535153), (5547, 0.17200522903844556), (6082, -0.04728779924109591), (6207, 0.9615384615384616), (6366, 0.6577935144802716), (6482, 0.0), (6530, -0.3516054232038709), (7235, 0.6981407669689391), (7403, 0.11720180773462363), (7641, 0.7161148740394331), (7996, 0.626600514784504), (8008, -0.22562131409856986), (8086, 0.6933752452815365), (8245, 0.0), (8572, 0.8600261451922278), (8675, 0.5370861555295773), (9101, -0.08600261451922278), (9358, 0.692178738358485), (9663, 0.193972725041952), (9994, 0.5030272728659587), (10248, -0.24806946917841693), (10315, 0.537086155529574), (10368, 0.4688072309384945), (10607, 0.41602514716892186), (10707, 0.9615384615384616), (10863, 0.6020183016345595), (11314, 0.8204126541423654), (11399, 0.517260600111872), (11769, 0.9376144618769914), (11827, 0.4902903378454601), (12069, 0.0), (12120, 0.9292940047327363), (12211, 0.8600261451922278), (12325, 0.9616783115081544), (12916, 0.5860090386731196), (12921, 0.6611073566849309), (13053, 0.9607689228305227), (13142, 0.6016568375961863), (13260, 0.7844645405527362), (13366, 0.8951435925492911), (13768, 0.8770580193070289), (13888, 0.2508726030021272), (13923, 0.3516054232038718), (13934, 0.17200522903844556), (14529, 0.7417901772340937), (14551, 0.537086155529574), (14588, 0.21926450482675766), (14984, 0.716114874039432), (15137, 0.5860090386731196), (15157, 0.9035841064985974), (15466, 0.7205766921228921), (15670, 0.516015687115336), (15834, 0.22562131409856986), (16292, 0.6577935144802716), (16456, 0.7161148740394331), (16506, 0.5481612620668942), (17246, 0.48038446141526137), (17438, 0.7093169886164387), (17501, 0.8168748513121271), (17502, 0.8272781516947562), (17666, 0.7689238340176859), (17735, 0.7042381820123422), (17742, 0.3922322702763681), (17757, 0.64657575013984), (17854, 0.537086155529574), (17897, 0.8770580193070289), (17944, 0.2713848825944774), (18301, 0.29838119751643016), (18509, 0.1322214713369862)])"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pearsonCorrelationDict.items()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <th></th>\n",
       "      <th>similarityIndex</th>\n",
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       "   similarityIndex  userId\n",
       "0         0.827278      75\n",
       "1         0.586009     106\n",
       "2         0.832050     686\n",
       "3         0.576557     815\n",
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   "source": [
    "pearsonDF = pd.DataFrame.from_dict(pearsonCorrelationDict, orient='index')\n",
    "pearsonDF.columns = ['similarityIndex']\n",
    "pearsonDF['userId'] = pearsonDF.index\n",
    "pearsonDF.index = range(len(pearsonDF))\n",
    "pearsonDF.head()"
   ]
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   "source": [
    "#### The top x similar users to input user\n",
    "\n",
    "Now let's get the top 50 users that are most similar to the input.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "button": false,
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   "outputs": [
    {
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      "text/plain": [
       "    similarityIndex  userId\n",
       "64         0.961678   12325\n",
       "34         0.961538    6207\n",
       "55         0.961538   10707\n",
       "67         0.960769   13053\n",
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   "source": [
    "topUsers=pearsonDF.sort_values(by='similarityIndex', ascending=False)[0:50]\n",
    "topUsers.head()"
   ]
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  {
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   "source": [
    "Now, let's start recommending movies to the input user.\n",
    "\n",
    "#### Rating of selected users to all movies\n",
    "\n",
    "We're going to do this by taking the weighted average of the ratings of the movies using the Pearson Correlation as the weight. But to do this, we first need to get the movies watched by the users in our **pearsonDF** from the ratings dataframe and then store their correlation in a new column called \\_similarityIndex\". This is achieved below by merging of these two tables.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
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    {
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       "   similarityIndex  userId  movieId  rating\n",
       "0         0.961678   12325        1     3.5\n",
       "1         0.961678   12325        2     1.5\n",
       "2         0.961678   12325        3     3.0\n",
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       "4         0.961678   12325        6     2.5"
      ]
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     "execution_count": 40,
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   ],
   "source": [
    "topUsersRating=topUsers.merge(ratings_df, left_on='userId', right_on='userId', how='inner')\n",
    "topUsersRating.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
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    "new_sheet": false,
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   },
   "source": [
    "Now all we need to do is simply multiply the movie rating by its weight (the similarity index), then sum up the new ratings and divide it by the sum of the weights.\n",
    "\n",
    "We can easily do this by simply multiplying two columns, then grouping up the dataframe by movieId and then dividing two columns:\n",
    "\n",
    "It shows the idea of all similar users to candidate movies for the input user:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
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       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>similarityIndex</th>\n",
       "      <th>userId</th>\n",
       "      <th>movieId</th>\n",
       "      <th>rating</th>\n",
       "      <th>weightedRating</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.961678</td>\n",
       "      <td>12325</td>\n",
       "      <td>1</td>\n",
       "      <td>3.5</td>\n",
       "      <td>3.365874</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.961678</td>\n",
       "      <td>12325</td>\n",
       "      <td>2</td>\n",
       "      <td>1.5</td>\n",
       "      <td>1.442517</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0.961678</td>\n",
       "      <td>12325</td>\n",
       "      <td>3</td>\n",
       "      <td>3.0</td>\n",
       "      <td>2.885035</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0.961678</td>\n",
       "      <td>12325</td>\n",
       "      <td>5</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.480839</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.961678</td>\n",
       "      <td>12325</td>\n",
       "      <td>6</td>\n",
       "      <td>2.5</td>\n",
       "      <td>2.404196</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   similarityIndex  userId  movieId  rating  weightedRating\n",
       "0         0.961678   12325        1     3.5        3.365874\n",
       "1         0.961678   12325        2     1.5        1.442517\n",
       "2         0.961678   12325        3     3.0        2.885035\n",
       "3         0.961678   12325        5     0.5        0.480839\n",
       "4         0.961678   12325        6     2.5        2.404196"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Multiplies the similarity by the user's ratings\n",
    "topUsersRating['weightedRating'] = topUsersRating['similarityIndex']*topUsersRating['rating']\n",
    "topUsersRating.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
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   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>sum_similarityIndex</th>\n",
       "      <th>sum_weightedRating</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>movieId</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>38.376281</td>\n",
       "      <td>140.800834</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>38.376281</td>\n",
       "      <td>96.656745</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>10.253981</td>\n",
       "      <td>27.254477</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0.929294</td>\n",
       "      <td>2.787882</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>11.723262</td>\n",
       "      <td>27.151751</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         sum_similarityIndex  sum_weightedRating\n",
       "movieId                                         \n",
       "1                  38.376281          140.800834\n",
       "2                  38.376281           96.656745\n",
       "3                  10.253981           27.254477\n",
       "4                   0.929294            2.787882\n",
       "5                  11.723262           27.151751"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Applies a sum to the topUsers after grouping it up by userId\n",
    "tempTopUsersRating = topUsersRating.groupby('movieId').sum()[['similarityIndex','weightedRating']]\n",
    "tempTopUsersRating.columns = ['sum_similarityIndex','sum_weightedRating']\n",
    "tempTopUsersRating.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
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       "\n",
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       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>weighted average recommendation score</th>\n",
       "      <th>movieId</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>movieId</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>3.668955</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2.518658</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2.657941</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>3.000000</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>2.316058</td>\n",
       "      <td>5</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         weighted average recommendation score  movieId\n",
       "movieId                                                \n",
       "1                                     3.668955        1\n",
       "2                                     2.518658        2\n",
       "3                                     2.657941        3\n",
       "4                                     3.000000        4\n",
       "5                                     2.316058        5"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Creates an empty dataframe\n",
    "recommendation_df = pd.DataFrame()\n",
    "#Now we take the weighted average\n",
    "recommendation_df['weighted average recommendation score'] = tempTopUsersRating['sum_weightedRating']/tempTopUsersRating['sum_similarityIndex']\n",
    "recommendation_df['movieId'] = tempTopUsersRating.index\n",
    "recommendation_df.head()"
   ]
  },
  {
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   "metadata": {
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   },
   "source": [
    "Now let's sort it and see the top 20 movies that the algorithm recommended!\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
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    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
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       "\n",
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       "    }\n",
       "\n",
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       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>weighted average recommendation score</th>\n",
       "      <th>movieId</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>movieId</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>5073</th>\n",
       "      <td>5.0</td>\n",
       "      <td>5073</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3329</th>\n",
       "      <td>5.0</td>\n",
       "      <td>3329</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2284</th>\n",
       "      <td>5.0</td>\n",
       "      <td>2284</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26801</th>\n",
       "      <td>5.0</td>\n",
       "      <td>26801</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6776</th>\n",
       "      <td>5.0</td>\n",
       "      <td>6776</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6672</th>\n",
       "      <td>5.0</td>\n",
       "      <td>6672</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3759</th>\n",
       "      <td>5.0</td>\n",
       "      <td>3759</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3769</th>\n",
       "      <td>5.0</td>\n",
       "      <td>3769</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3775</th>\n",
       "      <td>5.0</td>\n",
       "      <td>3775</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>90531</th>\n",
       "      <td>5.0</td>\n",
       "      <td>90531</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         weighted average recommendation score  movieId\n",
       "movieId                                                \n",
       "5073                                       5.0     5073\n",
       "3329                                       5.0     3329\n",
       "2284                                       5.0     2284\n",
       "26801                                      5.0    26801\n",
       "6776                                       5.0     6776\n",
       "6672                                       5.0     6672\n",
       "3759                                       5.0     3759\n",
       "3769                                       5.0     3769\n",
       "3775                                       5.0     3775\n",
       "90531                                      5.0    90531"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "recommendation_df = recommendation_df.sort_values(by='weighted average recommendation score', ascending=False)\n",
    "recommendation_df.head(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "button": false,
    "new_sheet": false,
    "run_control": {
     "read_only": false
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    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>movieId</th>\n",
       "      <th>title</th>\n",
       "      <th>year</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2200</th>\n",
       "      <td>2284</td>\n",
       "      <td>Bandit Queen</td>\n",
       "      <td>1994</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3243</th>\n",
       "      <td>3329</td>\n",
       "      <td>Year My Voice Broke, The</td>\n",
       "      <td>1987</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3669</th>\n",
       "      <td>3759</td>\n",
       "      <td>Fun and Fancy Free</td>\n",
       "      <td>1947</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3679</th>\n",
       "      <td>3769</td>\n",
       "      <td>Thunderbolt and Lightfoot</td>\n",
       "      <td>1974</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3685</th>\n",
       "      <td>3775</td>\n",
       "      <td>Make Mine Music</td>\n",
       "      <td>1946</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4978</th>\n",
       "      <td>5073</td>\n",
       "      <td>Son's Room, The (Stanza del figlio, La)</td>\n",
       "      <td>2001</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6563</th>\n",
       "      <td>6672</td>\n",
       "      <td>War Photographer</td>\n",
       "      <td>2001</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6667</th>\n",
       "      <td>6776</td>\n",
       "      <td>Lagaan: Once Upon a Time in India</td>\n",
       "      <td>2001</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9064</th>\n",
       "      <td>26801</td>\n",
       "      <td>Dragon Inn (Sun lung moon hak chan)</td>\n",
       "      <td>1992</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18106</th>\n",
       "      <td>90531</td>\n",
       "      <td>Shame</td>\n",
       "      <td>2011</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       movieId                                    title  year\n",
       "2200      2284                             Bandit Queen  1994\n",
       "3243      3329                 Year My Voice Broke, The  1987\n",
       "3669      3759                       Fun and Fancy Free  1947\n",
       "3679      3769                Thunderbolt and Lightfoot  1974\n",
       "3685      3775                          Make Mine Music  1946\n",
       "4978      5073  Son's Room, The (Stanza del figlio, La)  2001\n",
       "6563      6672                         War Photographer  2001\n",
       "6667      6776        Lagaan: Once Upon a Time in India  2001\n",
       "9064     26801      Dragon Inn (Sun lung moon hak chan)  1992\n",
       "18106    90531                                    Shame  2011"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "movies_df.loc[movies_df['movieId'].isin(recommendation_df.head(10)['movieId'].tolist())]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
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   "source": [
    "### Advantages and Disadvantages of Collaborative Filtering\n",
    "\n",
    "##### Advantages\n",
    "\n",
    "*   Takes other user's ratings into consideration\n",
    "*   Doesn't need to study or extract information from the recommended item\n",
    "*   Adapts to the user's interests which might change over time\n",
    "\n",
    "##### Disadvantages\n",
    "\n",
    "*   Approximation function can be slow\n",
    "*   There might be a low amount of users to approximate\n",
    "*   Privacy issues when trying to learn the user's preferences\n"
   ]
  },
  {
   "cell_type": "markdown",
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   "source": [
    "<h2>Want to learn more?</h2>\n",
    "\n",
    "IBM SPSS Modeler is a comprehensive analytics platform that has many machine learning algorithms. It has been designed to bring predictive intelligence to decisions made by individuals, by groups, by systems – by your enterprise as a whole. A free trial is available through this course, available here: <a href=\"https://www.ibm.com/analytics/spss-statistics-software?utm_medium=Exinfluencer&utm_source=Exinfluencer&utm_content=000026UJ&utm_term=10006555&utm_id=NA-SkillsNetwork-Channel-SkillsNetworkCoursesIBMDeveloperSkillsNetworkML0101ENSkillsNetwork20718538-2022-01-01\">SPSS Modeler</a>\n",
    "\n",
    "Also, you can use Watson Studio to run these notebooks faster with bigger datasets. Watson Studio is IBM's leading cloud solution for data scientists, built by data scientists. With Jupyter notebooks, RStudio, Apache Spark and popular libraries pre-packaged in the cloud, Watson Studio enables data scientists to collaborate on their projects without having to install anything. Join the fast-growing community of Watson Studio users today with a free account at <a href=\"https://www.ibm.com/cloud/watson-studio?utm_medium=Exinfluencer&utm_source=Exinfluencer&utm_content=000026UJ&utm_term=10006555&utm_id=NA-SkillsNetwork-Channel-SkillsNetworkCoursesIBMDeveloperSkillsNetworkML0101ENSkillsNetwork20718538-2022-01-01\">Watson Studio</a>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Thank you for completing this lab!\n",
    "\n",
    "## Author\n",
    "\n",
    "Saeed Aghabozorgi\n",
    "\n",
    "### Other Contributors\n",
    "\n",
    "<a href=\"https://www.linkedin.com/in/joseph-s-50398b136/?utm_medium=Exinfluencer&utm_source=Exinfluencer&utm_content=000026UJ&utm_term=10006555&utm_id=NA-SkillsNetwork-Channel-SkillsNetworkCoursesIBMDeveloperSkillsNetworkML0101ENSkillsNetwork20718538-2022-01-01\" target=\"_blank\">Joseph Santarcangelo</a>\n",
    "\n",
    "## Change Log\n",
    "\n",
    "| Date (YYYY-MM-DD) | Version | Changed By | Change Description                 |\n",
    "| ----------------- | ------- | ---------- | ---------------------------------- |\n",
    "| 2020-11-03        | 2.1     | Lakshmi    | Updated URL of csv                 |\n",
    "| 2020-08-27        | 2.0     | Lavanya    | Moved lab to course repo in GitLab |\n",
    "|                   |         |            |                                    |\n",
    "|                   |         |            |                                    |\n",
    "\n",
    "## <h3 align=\"center\"> © IBM Corporation 2020. All rights reserved. <h3/>\n"
   ]
  }
 ],
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