Difference between revisions of "CSC352 Homework 4 Solution"

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==Problem #3==
+
==Problem #3: Unique Words==
  
 
Below is a pair of Map/Reduce programs for counting unique words in xml blocks.
 
Below is a pair of Map/Reduce programs for counting unique words in xml blocks.

Revision as of 16:48, 25 April 2010

--D. Thiebaut 20:24, 25 April 2010 (UTC)


Problem #1: Timeline

TaskTimeline4 180MBFiles.png

Several observations were in order:

  • The cluster only has 5 task-tracker nodes
  • The default for Hadoop is two map tasks per task-tracker per job.
  • This explains the maximum of 10 map tasks running first, then stopping, and then closing down, then 6 map tasks taking over, with an overlap of 4 map tasks.
  • 4 files of approximately 180 MB comprise the input. Hadoop splits input files into splits of 64 MB.
  • 180 MB will correspond to 3 or 4 splits, depending on the exact size of the file. This means between 12 to 16 splits for the 4 files.

Because we see that 16 (12+4) map tasks run altogether, we deduce that we had 16 splits total, requiring 16 tasks. 12 ran first, then were taken down while 4 more were started.

Problem #2: Unique Categories

Below is a Map/Reduce pair of Python streaming programs for a job similar to what was required. Instead of reporting the unique categories, the program return the categories and a list of Ids of wiki pages in which they appear.

Examples of output

category:(10th century in ireland)	[10130001]category:(1976 films)	[10000001]
category:(argentine films)	[10000001]
category:(economy of côte d'ivoire)	[10160001]
category:(estuaries in england)	[100001,200002]
category:(hospitals in north carolina)	[1010001]
category:(lists of hospitals in the united states)	[1010001]

Note that attempts to use regular expressions to grab strings in html tags were not successful. Instead a simpler method of locating the position of the tags and splicing the string between the indexes was used.


Mapper


hadoop@hadoop1:~/352/dft/hw4$ cat mapper_cat.py 
#!/usr/bin/env python
# mapper_cat.py
# D. Thiebaut
# 
# parses a wiki page that is in xml format
# and included in <xml> ... </xml> tags.
# Example:
#
#<xml>
#<title>Breydon Water</title>
#<id>100001</id>
#<contributors>
#<contrib>
#<ip>89.240.43.102</ip>
#
#<length>3119</length></contrib>
#</contributors>
#<categories>
#<cat>Estuaries in England</cat>
#<cat>Ramsar sites in England</cat>
#<cat>Royal Society for the Protection of Birds reserves in England</cat>
#<cat>Norfolk Broads</cat>
#<cat>Sites of Special Scientific Interest in Norfolk</cat>
#</categories>
#<pagelinks>
#<page>Arthur Henry Patterson</page>
#<page>Arthur Ransome</page>
#<page>Avocets</page>
#<page>Bewick's Swan</page>
#</pagelinks>
#<text>
#Image. Breydon-north.jpg thumb 250px ... Broads . Category. Sites of Special Scientific Interest in Norfolk . . . .
#</text>
#</xml>
#
# the program outputs the categories
# 
# cat 10000001.xml | ./mapper.py 
#  
#
# 1976 films 10000001
# Argentine films 10000001
# films 4 10000001
# category 3 10000001
# argentine 3 10000001
# 1976 3 10000001
# spanish 2 10000001
# language 2 10000001
# spanishlanguage 1 10000001
# que 1 10000001
# list 1 10000001
#

import sys


def grab( tag, xml ):
    """grabs the text between <tag> and </tag> in the xml text"""
    try:
        index1 = xml.find( '<%s>' % tag )
        index2 = xml.find( '</%s>' % tag, index1 )
        return xml[ index1+len( '<%s>' % tag ): index2 ]
    except:
        return ""

def grabAll( tag, xml ):
    """grabs all the strings between <tag> and </tag> in xml, and 
    returns them in a list"""
    index2 = 0
    list   = []
    while True:
        index1 = xml.find( '<%s>' % tag, index2 )
        if index1==-1: break
        index2 = xml.find( '</%s>' % tag, index1 )
        if index2==-1: break
        list.append( xml[ index1+len( '<%s>' % tag): index2 ] )
    return list
    
def processInput( debug=False ):
    #--- accumulate input lines from stdin ---
    xmlText = ""
    for line in sys.stdin:
        xmlText += line.lower()
    
    #--- grag the Id, and the categories ---
    id           = grab( "id", xmlText )
    categoryList = grabAll( "cat", xmlText )
    return ( id, categoryList )


def main( debug=False ):
    #--- get page Id, categories (if user wants them), and text ---
    id, categoryList  = processInput( debug )

    for cat in categoryList:
        print "%s\t%s" % ( cat, id )

    #--- debugging information ---
    if debug:
        print "-"*60
        print "DEBUG"
        print "-"*60
        print "id = ", id
        for cat in categoryList:
            print "cat:", cat
        print "-"*60
    
main( False )



Reducer



#!/usr/bin/env python
import sys
 
#--- get ready to read category, Id pairs ---
lastCategory = None
listOfIds = [] 

#--- input comes from STDIN ---
for line in sys.stdin:
    #--- remove leading and trailing whitespace ---
    line = line.strip()
    category, Id = line.split('\t', 1)

    #--- accumulate Ids for the same category ---
    if category==lastCategory:
        listOfIds.append( Id )
    else:
        if lastCategory is not None:
            print "category:(%s)\t[%s]" % ( lastCategory, ','.join( listOfIds ) )
        lastCategory = category
        listOfIds = [ Id ]


#--- write last category processed to stdout ---
if len( listOfIds )!= 0:
    print 'category:(%s)\t[%s]' % ( lastCategory, ','.join( listOfIds ) )



Java Solution

Here's a java solution provided by Yang and Xiaoting.


/**
 * Licensed to the Apache Software Foundation (ASF) under one
 * or more contributor license agreements.  See the NOTICE file
 * distributed with this work for additional information
 * regarding copyright ownership.  The ASF licenses this file
 * to you under the Apache License, Version 2.0 (the
 * "License"); you may not use this file except in compliance
 * with the License.  You may obtain a copy of the License at
 *
 *     http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS,
 * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
 * See the License for the specific language governing permissions and
 * limitations under the License.
 */

package org.hadoop.hadoop;

import java.io.IOException;
import java.util.ArrayList;
import java.util.Iterator;
import java.util.List;
import java.util.StringTokenizer;
import java.util.regex.*;

import org.apache.hadoop.conf.Configuration;
import org.apache.hadoop.conf.Configured;
import org.apache.hadoop.fs.Path;
import org.apache.hadoop.io.IntWritable;
import org.apache.hadoop.io.LongWritable;
import org.apache.hadoop.io.Text;
import org.apache.hadoop.mapred.FileInputFormat;
import org.apache.hadoop.mapred.FileOutputFormat;
import org.apache.hadoop.mapred.JobClient;
import org.apache.hadoop.mapred.JobConf;
import org.apache.hadoop.mapred.MapReduceBase;
import org.apache.hadoop.mapred.Mapper;
import org.apache.hadoop.mapred.OutputCollector;
import org.apache.hadoop.mapred.Reducer;
import org.apache.hadoop.mapred.Reporter;
import org.apache.hadoop.util.Tool;
import org.apache.hadoop.util.ToolRunner;

/**
 * This is an example Hadoop Map/Reduce application.
 * It reads the text input files, breaks each line into words
 * and reports the number of unique categories and the number of times. 
 *
 * To run: bin/hadoop jar build/hadoop-examples.jar catcount
 *            [-m <i>maps</i>] [-r <i>reduces</i>] <i>in-dir</i> <i>out-dir</i> 
 */
public class CatCount extends Configured implements Tool {
    /**
     * define my own counters
     */
    enum MyCounters {
	MAPFUNCTIONCALLS,
	REDUCEFUNCTIONCALLS,
	BUCK
}
  
  /**
   * Counts the words in each line.
   * For each line of input, break the line into words and emit them as
   * (<b>word</b>, <b>1</b>).
   *
   * 
   */
  public static class MapClass extends MapReduceBase
    implements Mapper<LongWritable, Text, Text, IntWritable> {
    
    private final static IntWritable one = new IntWritable(1);
    private Text word = new Text();
    
    public void map(LongWritable key, Text value, 
                    OutputCollector<Text, IntWritable> output, 
                    Reporter reporter) throws IOException {
	// increment task counter 
	reporter.incrCounter( MyCounters.MAPFUNCTIONCALLS, 1 );
	// use regex to match category name
	Pattern p = Pattern.compile("<cat>([\\w\\s]*)</cat>");
	Matcher m = p.matcher(value.toString());
	while (m.find()){
	    word.set(m.group(1));
	    output.collect(word,one);
	}
    }
  }
    
    /**
     * A reducer class that just emits the sum of the input values.
     */
  public static class Reduce extends MapReduceBase
    implements Reducer<Text, IntWritable, Text, IntWritable> {
    
    public void reduce(Text key, Iterator<IntWritable> values,
                       OutputCollector<Text, IntWritable> output, 
                       Reporter reporter) throws IOException {
	// increment reduce counter 
	reporter.incrCounter( MyCounters.REDUCEFUNCTIONCALLS, 1 );


      int sum = 0;
      while (values.hasNext()) {
        sum += values.next().get();
      }
      output.collect(key, new IntWritable(sum));
    }
  }
  
  static int printUsage() {
    System.out.println("catcount [-m <maps>] [-r <reduces>] <input> <output>");
    ToolRunner.printGenericCommandUsage(System.out);
    return -1;
  }
  
  /**
   * The main driver for word count map/reduce program.
   * Invoke this method to submit the map/reduce job.
   * @throws IOException When there is communication problems with the 
   *                     job tracker.
   */
  public int run(String[] args) throws Exception {
    JobConf conf = new JobConf(getConf(), CatCount.class);
    conf.setJobName("catcount");
 
    // the keys are words (strings)
    conf.setOutputKeyClass(Text.class);
    // the values are counts (ints)
    conf.setOutputValueClass(IntWritable.class);
    
    conf.setMapperClass(MapClass.class);        
    conf.setCombinerClass(Reduce.class);
    conf.setReducerClass(Reduce.class);
    
    List<String> other_args = new ArrayList<String>();
    for(int i=0; i < args.length; ++i) {
      try {
        if ("-m".equals(args[i])) {
          conf.setNumMapTasks(Integer.parseInt(args[++i]));
        } else if ("-r".equals(args[i])) {
          conf.setNumReduceTasks(Integer.parseInt(args[++i]));
        } else {
          other_args.add(args[i]);
        }
      } catch (NumberFormatException except) {
        System.out.println("ERROR: Integer expected instead of " + args[i]);
        return printUsage();
      } catch (ArrayIndexOutOfBoundsException except) {
        System.out.println("ERROR: Required parameter missing from " +
                           args[i-1]);
        return printUsage();
      }
    }
    // Make sure there are exactly 2 parameters left.
    if (other_args.size() != 2) {
      System.out.println("ERROR: Wrong number of parameters: " +
                         other_args.size() + " instead of 2.");
      return printUsage();
    }
    FileInputFormat.setInputPaths(conf, other_args.get(0));
    FileOutputFormat.setOutputPath(conf, new Path(other_args.get(1)));
        
    JobClient.runJob(conf);
    return 0;
  }
  
  
  public static void main(String[] args) throws Exception {
    int res = ToolRunner.run(new Configuration(), new CatCount(), args);
    System.exit(res);
  }

}


Problem #3: Unique Words

Below is a pair of Map/Reduce programs for counting unique words in xml blocks.

Note that attempts to use regular expressions to grab strings in html tags were not successful. Instead a simpler method of locating the position of the tags and splicing the string between the indexes was used.

Mapper



#!/usr/bin/env python
# mapper_word.py
# D. Thiebaut
# 
# parses a wiki page that is in xml format
# and included in <xml> ... </xml> tags.
# Example:
#
#<xml>
#<title>Breydon Water</title>
#<id>100001</id>
#<contributors>
#<contrib>
#<ip>89.240.43.102</ip>
#
#<length>3119</length></contrib>
#</contributors>
#<categories>
#<cat>Estuaries in England</cat>
#<cat>Ramsar sites in England</cat>
#<cat>Royal Society for the Protection of Birds reserves in England</cat>
#<cat>Norfolk Broads</cat>
#<cat>Sites of Special Scientific Interest in Norfolk</cat>
#</categories>
#<pagelinks>
#<page>Arthur Henry Patterson</page>
#<page>Arthur Ransome</page>
#<page>Avocets</page>
#<page>Bewick's Swan</page>
#</pagelinks>
#<text>
#Image. Breydon-north.jpg thumb 250px ... Broads . Category. Sites of Special Scientific Interest in Norfolk . . . .
#</text>
#</xml>
#
# the program outputs the five most frequent words.
#
# ivoire	2
#aquatic	5
# estuary	10
# photo	1
# rob 	4
# years	1

import sys
import string


stopwords = {'all': 1, "she'll": 1, "don't": 1, 'being': 1, 'over': 1, 'through': 1, 'yourselves': 1, 'its': 1, 
             'before': 1, "he's": 1, "when's": 1, "we've": 1, 'had': 1, 'should': 1, "he'd": 1, 'to': 1, 
             'only': 1, "there's": 1, 'those': 1, 'under': 1, 'has': 1, "haven't": 1, 'do': 1, 'them': 1, 
             'his': 1, "they'll": 1, 'very': 1, "who's": 1, "they'd": 1, 'cannot': 1, "you've": 1, 'they': 1, 
             'not': 1, 'during': 1, 'yourself': 1, 'him': 1, 'nor': 1, "we'll": 1, 'did': 1, "they've": 1, 
             'this': 1, 'she': 1, 'each': 1, "won't": 1, 'where': 1, "mustn't": 1, "isn't": 1, "i'll": 1, 
             "why's": 1, 'because': 1, "you'd": 1, 'doing': 1, 'some': 1, 'up': 1, 'are': 1, 'further': 1, 
             'out': 1, 'what': 1, 'for': 1, 'while': 1, "wasn't": 1, 'does': 1, "shouldn't": 1, 'above': 1, 
             'between': 1, 'be': 1, 'we': 1, 'who': 1, "you're": 1, 'were': 1, 'here': 1, 'hers': 1, "aren't": 1, 
             'by': 1, 'both': 1, 'about': 1, 'would': 1, 'of': 1, 'could': 1, 'against': 1, "i'd": 1, 
             "weren't": 1, "i'm": 1, 'or': 1, "can't": 1, 'own': 1, 'into': 1, 'whom': 1, 'down': 1, "hadn't": 1, 
             "couldn't": 1, 'your': 1, "doesn't": 1, 'from': 1, "how's": 1, 'her': 1, 'their': 1, "it's": 1, 
             'there': 1, 'been': 1, 'why': 1, 'few': 1, 'too': 1, 'themselves': 1, 'was': 1, 'until': 1, 
             'more': 1, 'himself': 1, "where's": 1, "i've": 1, 'with': 1, "didn't": 1, "what's": 1, 'but': 1, 
             'herself': 1, 'than': 1, "here's": 1, 'he': 1, 'me': 1, "they're": 1, 'myself': 1, 'these': 1, 
             "hasn't": 1, 'below': 1, 'ought': 1, 'theirs': 1, 'my': 1, "wouldn't": 1, "we'd": 1, 'and': 1, 
             'then': 1, 'is': 1, 'am': 1, 'it': 1, 'an': 1, 'as': 1, 'itself': 1, 'at': 1, 'have': 1, 'in': 1, 
             'any': 1, 'if': 1, 'again': 1, 'no': 1, 'that': 1, 'when': 1, 'same': 1, 'how': 1, 'other': 1, 
             'which': 1, 'you': 1, "shan't": 1, ' ourselves': 1, 'our': 1, 'after': 1, "let's": 1, 'most': 1, 
             'ours ': 1, 'such': 1, 'on': 1, "he'll": 1, 'a': 1, 'off': 1, 'i': 1, "she'd": 1, 'yours': 1, 
             "you'll": 1, 'so': 1, "we're": 1, "she's": 1, 'the': 1, "that's": 1, 'having': 1, 'once': 1, 's':1}


def grab( tag, xml ):
    """grabs string between <tag> and </tag> in xml string"""
    try:
        index1 = xml.find( '<%s>' % tag )
        index2 = xml.find( '</%s>' % tag )
        return xml[ index1+len( '<%s>' % tag ): index2 ]
    except:
        return ""


def processInput( debug=False ):
    #--- accumulate input lines from stdin ---
    xmlText = ""
    for line in sys.stdin:
        xmlText += line.lower()
    
    #--- grab text and Id from xml input ---
    text = grab( "text", xmlText )
    id   = grab( "id", xmlText )

    return ( id, text )

def getMostFreq( text, debug=False ):
    """computes 5 most frequent words"""
    global stopwords

    #--- remove punctuation (except quote) ---
    table = string.maketrans( "", "" )
    punctuation = '!"#$%&()*+,-./:;<=>?@[\\]^_`{|}~'
    text  = text.translate( table, punctuation )
    words = text.lower().split()
    wordDico = {}
    for word in words:
        #--- skip stop-words ---
        if stopwords.has_key( word ):
            continue

        #--- accumulate count ---
        if wordDico.has_key( word ):
            wordDico[ word ] += 1
        else:
            wordDico[ word ] = 1
    
    L = [ (freq,word) for (word,freq) in wordDico.items() ]
    L.sort()
    L = L[-10:]
    L.reverse()
    return L

def main( debug=False ):
    #--- get Id and text from stdin ---
    id, text = processInput( debug )

    #--- output most frquent words, if requested for ---
    mostFreqWords = getMostFreq( text, debug )
    for freq, word in mostFreqWords:
        print "%s\t%s" % ( word, freq )

    #--- debugging information ---
    if debug:
        print "-"*60
        print "DEBUG"
        print "-"*60
        print "id = ", id
        print "text = ", text[0:20],"...", text[-20:]
        print "mostFreqWords = ", mostFreqWords
        print "-"*60

    
main( False )



Reducer



#!/usr/bin/env python
# reducer_word.py
# 
import sys
 
# maps words to their counts
word2count = {}
 
# input comes from STDIN
for line in sys.stdin:
    # remove leading and trailing whitespace
    line = line.strip()
 
    # parse the input we got from mapper.py
    word, count = line.split('\t', 1)
    # convert count (currently a string) to int
    try:
        count = int(count)
    except ValueError:
        continue

    try:
        word2count[word] = word2count[word]+count
    except:
        word2count[word] = count
 
# write the results to STDOUT (standard output)
for word in word2count.keys():
    print '%s\t%s'% ( word, word2count[word] )



Slightly Different solution

This solution outputs tuples of the form:

refer	1:1020001
breydon	11:200002,11:100001 
water	8:200002,8:100001
que	1:10000001
article	2:10080001

where the first part is a word, and the second part is a coma-separated list of count:Id, where count is the number of times the word appears in the <text></text> part of the Wiki-page with the given Id.

Mapper.py


hadoop@hadoop1:~/352/dft/hw4$ cat mapper_word2.py
#!/usr/bin/env python
# mapper_word2.py
# D. Thiebaut
# 

import sys
import string


stopwords = {'all': 1, "she'll": 1, "don't": 1, 'being': 1, 'over': 1, 'through': 1, 'yourselves': 1, 'its': 1, 
             'before': 1, "he's": 1, "when's": 1, "we've": 1, 'had': 1, 'should': 1, "he'd": 1, 'to': 1, 
             'only': 1, "there's": 1, 'those': 1, 'under': 1, 'has': 1, "haven't": 1, 'do': 1, 'them': 1, 
             'his': 1, "they'll": 1, 'very': 1, "who's": 1, "they'd": 1, 'cannot': 1, "you've": 1, 'they': 1, 
             'not': 1, 'during': 1, 'yourself': 1, 'him': 1, 'nor': 1, "we'll": 1, 'did': 1, "they've": 1, 
             'this': 1, 'she': 1, 'each': 1, "won't": 1, 'where': 1, "mustn't": 1, "isn't": 1, "i'll": 1, 
             "why's": 1, 'because': 1, "you'd": 1, 'doing': 1, 'some': 1, 'up': 1, 'are': 1, 'further': 1, 
             'out': 1, 'what': 1, 'for': 1, 'while': 1, "wasn't": 1, 'does': 1, "shouldn't": 1, 'above': 1, 
             'between': 1, 'be': 1, 'we': 1, 'who': 1, "you're": 1, 'were': 1, 'here': 1, 'hers': 1, "aren't": 1, 
             'by': 1, 'both': 1, 'about': 1, 'would': 1, 'of': 1, 'could': 1, 'against': 1, "i'd": 1, 
             "weren't": 1, "i'm": 1, 'or': 1, "can't": 1, 'own': 1, 'into': 1, 'whom': 1, 'down': 1, "hadn't": 1, 
             "couldn't": 1, 'your': 1, "doesn't": 1, 'from': 1, "how's": 1, 'her': 1, 'their': 1, "it's": 1, 
             'there': 1, 'been': 1, 'why': 1, 'few': 1, 'too': 1, 'themselves': 1, 'was': 1, 'until': 1, 
             'more': 1, 'himself': 1, "where's": 1, "i've": 1, 'with': 1, "didn't": 1, "what's": 1, 'but': 1, 
             'herself': 1, 'than': 1, "here's": 1, 'he': 1, 'me': 1, "they're": 1, 'myself': 1, 'these': 1, 
             "hasn't": 1, 'below': 1, 'ought': 1, 'theirs': 1, 'my': 1, "wouldn't": 1, "we'd": 1, 'and': 1, 
             'then': 1, 'is': 1, 'am': 1, 'it': 1, 'an': 1, 'as': 1, 'itself': 1, 'at': 1, 'have': 1, 'in': 1, 
             'any': 1, 'if': 1, 'again': 1, 'no': 1, 'that': 1, 'when': 1, 'same': 1, 'how': 1, 'other': 1, 
             'which': 1, 'you': 1, "shan't": 1, ' ourselves': 1, 'our': 1, 'after': 1, "let's": 1, 'most': 1, 
             'ours ': 1, 'such': 1, 'on': 1, "he'll": 1, 'a': 1, 'off': 1, 'i': 1, "she'd": 1, 'yours': 1, 
             "you'll": 1, 'so': 1, "we're": 1, "she's": 1, 'the': 1, "that's": 1, 'having': 1, 'once': 1, 's':1}


def grab( tag, xml ):
    try:
        index1 = xml.find( '<%s>' % tag )
        index2 = xml.find( '</%s>' % tag )
        return xml[ index1+len( '<%s>' % tag ): index2 ]
    except:
        return ""


def processInput( debug=False ):
    #--- accumulate input lines from stdin ---

    xmlText = ""
    for line in sys.stdin:
        xmlText += line.lower()
    
    text = grab( "text", xmlText )
    id   = grab( "id", xmlText )

    return ( id, text )

def getMostFreq( text, debug=False ):
    global stopwords
    table = string.maketrans( "", "" )
    punctuation = '!"#$%&()*+,-./:;<=>?@[\\]^_`{|}~'
    text  = text.translate( table, punctuation )
    words = text.lower().split()
    wordDico = {}
    for word in words:
        if stopwords.has_key( word ):
            continue
        if wordDico.has_key( word ):
            wordDico[ word ] += 1
        else:
            wordDico[ word ] = 1
    
    L = [ (freq,word) for (word,freq) in wordDico.items() ]
    L.sort()
    L = L[-10:]
    L.reverse()
    return L

def main( debug=False ):
    #--- get arguments from command line ---
    Id, text = processInput( debug )

    #--- output most frquent words, if requested for ---
    mostFreqWords = getMostFreq( text, debug )
    for freq, word in mostFreqWords:
        print "%s\t%s %s" % ( word, freq, Id )

    #--- debugging information ---
    if debug:
        print "-"*60
        print "DEBUG"
        print "-"*60
        print "id = ", id
        for cat in categoryList:
            print "cat:", cat
        print "text = ", text[0:20],"...", text[-20:]
        print "mostFreqWords = ", mostFreqWords
        print "-"*60

    
main( False )


Reducer.py


#!/usr/bin/env python
# reduce_word2.py
#
import sys
 
# maps words to their counts
word2count = {}
 
# input comes from STDIN
for line in sys.stdin:
    # remove leading and trailing whitespace
    line = line.strip()
 
    # parse the input we got from mapper.py
    word, pair = line.split('\t', 1)
    count, id = pair.split()


    try:
        word2count[word].append( "%s:%s" % (count,id) )
    except:
        word2count[word] = [ "%s:%s" % (count,id) ]
 
# write the results to STDOUT (standard output)
for word in word2count.keys():
    print '%s\t%s'% ( word, ",".join( word2count[word] ) )