Package weka.datagenerators.clusterers

Source Code of weka.datagenerators.clusterers.SubspaceClusterDefinition

/*
*    This program is free software; you can redistribute it and/or modify
*    it under the terms of the GNU General Public License as published by
*    the Free Software Foundation; either version 2 of the License, or
*    (at your option) any later version.
*
*    This program is distributed in the hope that it will be useful,
*    but WITHOUT ANY WARRANTY; without even the implied warranty of
*    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
*    GNU General Public License for more details.
*
*    You should have received a copy of the GNU General Public License
*    along with this program; if not, write to the Free Software
*    Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
*/

/*
* SubspaceClusterDefinition.java
* Copyright (C) 2005 University of Waikato, Hamilton, New Zealand
*
*/

package weka.datagenerators.clusterers;

import weka.core.Option;
import weka.core.Range;
import weka.core.RevisionUtils;
import weka.core.SelectedTag;
import weka.core.Utils;
import weka.datagenerators.ClusterDefinition;
import weka.datagenerators.ClusterGenerator;

import java.util.Enumeration;
import java.util.Random;
import java.util.StringTokenizer;
import java.util.Vector;

/**
<!-- globalinfo-start -->
* A single cluster for the SubspaceCluster datagenerator
* <p/>
<!-- globalinfo-end -->
*
<!-- options-start -->
* Valid options are: <p/>
*
* <pre> -A &lt;range&gt;
*  Generates randomly distributed instances in the cluster.</pre>
*
* <pre> -U &lt;range&gt;
*  Generates uniformly distributed instances in the cluster.</pre>
*
* <pre> -G &lt;range&gt;
*  Generates gaussian distributed instances in the cluster.</pre>
*
* <pre> -D &lt;num&gt;,&lt;num&gt;
*  The attribute min/max (-A and -U) or mean/stddev (-G) for
*  the cluster.</pre>
*
* <pre> -N &lt;num&gt;..&lt;num&gt;
*  The range of number of instances per cluster (default 1..50).</pre>
*
* <pre> -I
*  Uses integer instead of continuous values (default continuous).</pre>
*
<!-- options-end -->
*
* @author  Gabi Schmidberger (gabi@cs.waikato.ac.nz)
* @author  FracPete (fracpete at waikato dot ac dot nz)
* @version $Revision: 1.5 $
* @see SubspaceCluster
*/
public class SubspaceClusterDefinition
  extends ClusterDefinition {

  /** for serialization */
  static final long serialVersionUID = 3135678125044007231L;
 
  /** cluster type */
  protected int m_clustertype;

  /** cluster subtypes */
  protected int m_clustersubtype;

  /** number of attributes the cluster is defined for */
  protected int m_numClusterAttributes;

  /** number of instances for this cluster */
  protected int m_numInstances;

  /** minimal number of instances for this cluster */
  protected int m_MinInstNum;

  /** maximal number of instances for this cluster */
  protected int m_MaxInstNum;

  /** range of atttributes */
  protected Range m_AttrIndexRange;

  /** attributes of this cluster */
  protected boolean[] m_attributes;

  /** global indices of the attributes of the cluster */
  protected int[] m_attrIndices;

  /** ranges of each attribute (min); not used if gaussian */
  protected double[] m_minValue;

  /** ranges of each attribute (max); not used if gaussian */
  protected double[] m_maxValue;

  /** mean ; only used if gaussian */
  protected double[] m_meanValue;
 
  /** standarddev; only used if gaussian */
  protected double[] m_stddevValue;

  /**
   * initializes the cluster, without a parent cluster (necessary for GOE)
   */
  public SubspaceClusterDefinition() {
    super();
  }

  /**
   * initializes the cluster with default values
   *
   * @param parent    the datagenerator this cluster belongs to
   */
  public SubspaceClusterDefinition(ClusterGenerator parent) {
    super(parent);
  }

  /**
   * sets the default values
   *
   * @throws Exception if setting of defaults fails
   */
  protected void setDefaults() throws Exception {
    setClusterType(defaultClusterType());
    setClusterSubType(defaultClusterSubType());
    setMinInstNum(defaultMinInstNum());
    setMaxInstNum(defaultMaxInstNum());
    setAttrIndexRange(defaultAttrIndexRange());
    m_numClusterAttributes = 1;
    setValuesList(defaultValuesList());
  }

 
  /**
   * Returns a string describing this data generator.
   *
   * @return a description of the data generator suitable for
   * displaying in the explorer/experimenter gui
   */
  public String globalInfo() {
    return "A single cluster for the SubspaceCluster datagenerator";
  }
  /**
   * Returns an enumeration describing the available options.
   *
   * @return an enumeration of all the available options
   */
  public Enumeration listOptions() {
    Vector result = new Vector();

    result.addElement(new Option(
          "\tGenerates randomly distributed instances in the cluster.",
          "A", 1, "-A <range>"));

    result.addElement(new Option(
          "\tGenerates uniformly distributed instances in the cluster.",
          "U", 1, "-U <range>"));

    result.addElement(new Option(
          "\tGenerates gaussian distributed instances in the cluster.",
          "G", 1, "-G <range>"));

    result.addElement(new Option(
          "\tThe attribute min/max (-A and -U) or mean/stddev (-G) for\n"
          + "\tthe cluster.",
          "D", 1, "-D <num>,<num>"));

    result.addElement(new Option(
          "\tThe range of number of instances per cluster (default "
          + defaultMinInstNum() + ".." + defaultMaxInstNum() + ").",
          "N", 1, "-N <num>..<num>"));

    result.addElement(new Option(
          "\tUses integer instead of continuous values (default continuous).",
          "I", 0, "-I"));

    return result.elements();
  }

  /**
   * Parses a list of options for this object. <p/>
   *
   <!-- options-start -->
   * Valid options are: <p/>
   *
   * <pre> -A &lt;range&gt;
   *  Generates randomly distributed instances in the cluster.</pre>
   *
   * <pre> -U &lt;range&gt;
   *  Generates uniformly distributed instances in the cluster.</pre>
   *
   * <pre> -G &lt;range&gt;
   *  Generates gaussian distributed instances in the cluster.</pre>
   *
   * <pre> -D &lt;num&gt;,&lt;num&gt;
   *  The attribute min/max (-A and -U) or mean/stddev (-G) for
   *  the cluster.</pre>
   *
   * <pre> -N &lt;num&gt;..&lt;num&gt;
   *  The range of number of instances per cluster (default 1..50).</pre>
   *
   * <pre> -I
   *  Uses integer instead of continuous values (default continuous).</pre>
   *
   <!-- options-end -->
   *
   * @param options the list of options as an array of strings
   * @throws Exception if an option is not supported
   */
  public void setOptions(String[] options) throws Exception {
    String        tmpStr;
    String        fromToStr;
    int           typeCount;

    typeCount = 0;
    fromToStr = "";

    tmpStr = Utils.getOption('A', options);
    if (tmpStr.length() != 0) {
      fromToStr = tmpStr;
      setClusterType(
          new SelectedTag(
            SubspaceCluster.UNIFORM_RANDOM, SubspaceCluster.TAGS_CLUSTERTYPE));
      typeCount++;
    }

    tmpStr = Utils.getOption('U', options);
    if (tmpStr.length() != 0) {
      fromToStr = tmpStr;
      setClusterType(
          new SelectedTag(
            SubspaceCluster.TOTAL_UNIFORM, SubspaceCluster.TAGS_CLUSTERTYPE));
      typeCount++;
    }

    tmpStr = Utils.getOption('G', options);
    if (tmpStr.length() != 0) {
      fromToStr = tmpStr;
      setClusterType(
          new SelectedTag(
            SubspaceCluster.GAUSSIAN, SubspaceCluster.TAGS_CLUSTERTYPE));
      typeCount++;
    }

    // default is uniform/random
    if (typeCount == 0)
      setClusterType(
          new SelectedTag(
            SubspaceCluster.UNIFORM_RANDOM, SubspaceCluster.TAGS_CLUSTERTYPE));
    else if (typeCount > 1)
      throw new Exception("Only one cluster type can be specified!");

    setAttrIndexRange(fromToStr);
   
    tmpStr = Utils.getOption('D', options);
    if (isGaussian()) {
      if (tmpStr.length() != 0)
        setMeanStddev(tmpStr);
      else
        setMeanStddev(defaultMeanStddev());
    }
    else {
      if (tmpStr.length() != 0)
        setValuesList(tmpStr);
      else
        setValuesList(defaultValuesList());
    }

    tmpStr = Utils.getOption('N', options);
    if (tmpStr.length() != 0)
      setInstNums(tmpStr);
    else
      setInstNums(defaultMinInstNum() + ".." + defaultMaxInstNum());

    if (Utils.getFlag('I', options))
      setClusterSubType(
          new SelectedTag(
            SubspaceCluster.INTEGER, SubspaceCluster.TAGS_CLUSTERSUBTYPE));
    else
      setClusterSubType(
          new SelectedTag(
            SubspaceCluster.CONTINUOUS, SubspaceCluster.TAGS_CLUSTERSUBTYPE));
  }

  /**
   * Gets the current settings of the datagenerator BIRCHCluster.
   *
   * @return an array of strings suitable for passing to setOptions
   */
  public String[] getOptions() {
    Vector        result;

    result  = new Vector();

    if (isRandom()) {
      result.add("-A");
      result.add("" + getAttrIndexRange());
      result.add("-D");
      result.add("" + getValuesList());
    }
    else if (isUniform()) {
      result.add("-U");
      result.add("" + getAttrIndexRange());
      result.add("-D");
      result.add("" + getValuesList());
    }
    else if (isGaussian()) {
      result.add("-G");
      result.add("" + getAttrIndexRange());
      result.add("-D");
      result.add("" + getMeanStddev());
    }

    result.add("-N");
    result.add("" + getInstNums());

    if (m_clustersubtype == SubspaceCluster.INTEGER)
      result.add("-I");

    return (String[]) result.toArray(new String[result.size()]);
  }

  /**
   * Make a string from the attribues list.
   *
   * @return the attributes as string
   */
  public String attributesToString() {
    StringBuffer text = new StringBuffer();
    int j = 0;
    for (int i = 0; i < m_attributes.length; i++) {
      if (m_attributes[i]) {
        if (isGaussian()) {
          text.append(" Attribute: " + i);
          text.append(" Mean: "+ m_meanValue[j]);
          text.append(" StdDev: "+m_stddevValue[j]+"\n%");
        }
        else {
          text.append(" Attribute: " + i);
          text.append(" Range: "+ m_minValue[j]);
          text.append(" - "+m_maxValue[j]+"\n%");
        }
        j++;
      }
    }
    return text.toString();
  }

  /**
   * Make a string from the cluster features.
   *
   * @return the cluster features as string
   */
  public String toString() {
    StringBuffer text = new StringBuffer();
    text.append("attributes " + attributesToString() + "\n");
    text.append("number of instances " + getInstNums());
    return text.toString();
  }

  /**
   * sets the parent datagenerator this cluster belongs to
   * @param parent      the parent datagenerator
   */
  public void setParent(SubspaceCluster parent) {
    super.setParent(parent);
    m_AttrIndexRange.setUpper(getParent().getNumAttributes());
  }

  /**
   * returns the default attribute index range
   *
   * @return the default attribute index range
   */
  protected String defaultAttrIndexRange() {
    return "1";
  }

  /**
   * Sets which attributes are used in the cluster
   * attributes among the selection will be discretized.
   *
   * @param rangeList a string representing the list of attributes. Since
   * the string will typically come from a user, attributes are indexed from
   * 1. <br/>
   * eg: first-3,5,6-last
   */
  public void setAttrIndexRange(String rangeList) {
    m_numClusterAttributes = 0;
    if (m_AttrIndexRange == null)
      m_AttrIndexRange = new Range();
    m_AttrIndexRange.setRanges(rangeList);

    if (getParent() != null) {
      m_AttrIndexRange.setUpper(getParent().getNumAttributes());
      m_attributes = new boolean [getParent().getNumAttributes()];
      for (int i = 0; i < m_attributes.length; i++) {
        if (m_AttrIndexRange.isInRange(i)) {
          m_numClusterAttributes++;
          m_attributes[i] = true;
        }
        else {
          m_attributes[i] = false;
        }
      }

      //store translation from attr in cluster to attr in whole dataset
      m_attrIndices = new int[m_numClusterAttributes];
      int clusterI = -1;
      for (int i = 0; i < m_attributes.length; i++) {
        if (m_AttrIndexRange.isInRange(i)) {
          clusterI++;
          m_attrIndices[clusterI] = i;
        }
      }
    }
  }

  /**
   * returns the attribute range(s).
   *
   * @return the attribute range(s).
   */
  public String getAttrIndexRange() {
    return m_AttrIndexRange.getRanges();
  }
 
  /**
   * Returns the tip text for this property
   * @return tip text for this property suitable for
   * displaying in the explorer/experimenter gui
   */
  public String attrIndexRangeTipText() {
    return "The attribute range(s).";
  }

  public boolean[] getAttributes() {
    return m_attributes;
  }

  public double[] getMinValue() {
    return m_minValue;
  }

  public double[] getMaxValue() {
    return m_maxValue;
  }

  public double[] getMeanValue() {
    return m_meanValue;
  }

  public double[] getStddevValue() {
    return m_stddevValue;
  }

  public int getNumInstances () {
    return m_numInstances;
  }

  /**
   * returns the default cluster type
   *
   * @return the default cluster type
   */
  protected SelectedTag defaultClusterType() {
    return new SelectedTag(
        SubspaceCluster.UNIFORM_RANDOM, SubspaceCluster.TAGS_CLUSTERTYPE);
  }
 
  /**
   * Gets the cluster type.
   *
   * @return the cluster type
   * @see SubspaceCluster#TAGS_CLUSTERTYPE
   */
  public SelectedTag getClusterType() {
    return new SelectedTag(m_clustertype, SubspaceCluster.TAGS_CLUSTERTYPE);
  }
 
  /**
   * Sets the cluster type.
   *
   * @param value the new cluster type.
   * @see SubspaceCluster#TAGS_CLUSTERTYPE
   */
  public void setClusterType(SelectedTag value) {
    if (value.getTags() == SubspaceCluster.TAGS_CLUSTERTYPE)
      m_clustertype = value.getSelectedTag().getID();
  }
 
  /**
   * Returns the tip text for this property
   * @return tip text for this property suitable for
   * displaying in the explorer/experimenter gui
   */
  public String clusterTypeTipText() {
    return "The type of cluster to use.";
  }

  /**
   * returns the default cluster sub type
   *
   * @return the default cluster sub type
   */
  protected SelectedTag defaultClusterSubType() {
    return new SelectedTag(
        SubspaceCluster.CONTINUOUS, SubspaceCluster.TAGS_CLUSTERSUBTYPE);
  }
 
  /**
   * Gets the cluster sub type.
   *
   * @return the cluster sub type
   * @see SubspaceCluster#TAGS_CLUSTERSUBTYPE
   */
  public SelectedTag getClusterSubType() {
    return new SelectedTag(
                  m_clustersubtype, SubspaceCluster.TAGS_CLUSTERSUBTYPE);
  }
 
  /**
   * Sets the cluster sub type.
   *
   * @param value the new cluster sub type.
   * @see SubspaceCluster#TAGS_CLUSTERSUBTYPE
   */
  public void setClusterSubType(SelectedTag value) {
    if (value.getTags() == SubspaceCluster.TAGS_CLUSTERSUBTYPE)
      m_clustersubtype = value.getSelectedTag().getID();
  }
 
  /**
   * Returns the tip text for this property
   * @return tip text for this property suitable for
   * displaying in the explorer/experimenter gui
   */
  public String clusterSubTypeTipText() {
    return "The sub-type of cluster to use.";
  }

  /**
   * checks, whether cluster type is random
   *
   * @return true if cluster type is random
   */
  public boolean isRandom() {
    return (m_clustertype == SubspaceCluster.UNIFORM_RANDOM);
  }

  /**
   * checks, whether cluster type is uniform
   *
   * @return true if cluster type is uniform
   */
  public boolean isUniform() {
    return (m_clustertype == SubspaceCluster.TOTAL_UNIFORM);
  }

  /**
   * checks, whether cluster type is gaussian
   *
   * @return true if cluster type is gaussian
   */
  public boolean isGaussian() {
    return (m_clustertype == SubspaceCluster.GAUSSIAN);
  }

  /**
   * checks, whether cluster sub type is continuous
   *
   * @return true if cluster sub type is continuous
   */
  public boolean isContinuous() {
    return (m_clustertype == SubspaceCluster.CONTINUOUS);
  }

  /**
   * checks, whether cluster sub type is integer
   *
   * @return true if cluster sub type is integer
   */
  public boolean isInteger() {
    return (m_clustertype == SubspaceCluster.INTEGER);
  }

  /**
   * Sets the upper and lower boundary for instances for this cluster.
   *
   * @param fromTo  the string containing the upper and lower boundary for
   *                instances per cluster separated by ..
   */
  protected void setInstNums(String fromTo) {
    int i = fromTo.indexOf("..");
    if (i == -1)
      i = fromTo.length();
    String from = fromTo.substring(0, i);
    m_MinInstNum = Integer.parseInt(from);
    if (i < fromTo.length()) {
      String to = fromTo.substring(i + 2, fromTo.length());
      m_MaxInstNum = Integer.parseInt(to);
    }
    else {
      m_MaxInstNum = m_MinInstNum;
    }
  }

  /**
   * Get a string with the  upper and lower boundary for the
   * number of instances for this cluster.
   *
   * @return the string containing the upper and lower boundary for
   * instances per cluster separated by ..
   */
  protected String getInstNums() {
    String text = new String(""+m_MinInstNum+".."+m_MaxInstNum);
    return text;
  }
 
  /**
   * Returns the tip text for this property
   * @return tip text for this property suitable for
   * displaying in the explorer/experimenter gui
   */
  protected String instNumsTipText() {
    return "The lower and upper boundary for the number of instances in this cluster.";
  }

  /**
   * returns the default min number of instances
   *
   * @return the default min number of instances
   */
  protected int defaultMinInstNum() {
    return 1;
  }

  /**
   * Gets the lower boundary for instances per cluster.
   *
   * @return the the lower boundary for instances per cluster
   */
  public int getMinInstNum() {
    return m_MinInstNum;
  }
 
  /**
   * Sets the lower boundary for instances per cluster.
   *
   * @param newMinInstNum new lower boundary for instances per cluster
   */
  public void setMinInstNum(int newMinInstNum) {
    m_MinInstNum = newMinInstNum;
  }
 
  /**
   * Returns the tip text for this property
   *
   * @return tip text for this property suitable for
   *         displaying in the explorer/experimenter gui
   */
  public String minInstNumTipText() {
    return "The lower boundary for instances per cluster.";
  }

  /**
   * returns the default max number of instances
   *
   * @return the default max number of instances
   */
  protected int defaultMaxInstNum() {
    return 50;
  }

  /**
   * Gets the upper boundary for instances per cluster.
   *
   * @return the upper boundary for instances per cluster
   */
  public int getMaxInstNum() {
    return m_MaxInstNum;
  }
 
  /**
   * Sets the upper boundary for instances per cluster.
   *
   * @param newMaxInstNum new upper boundary for instances per cluster
   */
  public void setMaxInstNum(int newMaxInstNum) {
    m_MaxInstNum = newMaxInstNum;
  }
 
  /**
   * Returns the tip text for this property
   *
   * @return tip text for this property suitable for
   *         displaying in the explorer/experimenter gui
   */
  public String maxInstNumTipText() {
    return "The upper boundary for instances per cluster.";
  }

  /**
   * Sets the real number of instances for this cluster.
   *
   * @param r random number generator
   */
  public void setNumInstances(Random r) {
    if (m_MaxInstNum > m_MinInstNum)
      m_numInstances = (int)(r.nextDouble()
                       * (m_MaxInstNum - m_MinInstNum) + m_MinInstNum);
    else
      m_numInstances =  m_MinInstNum;
  }

  /**
   * returns the default values list
   *
   * @return the default values list
   */
  protected String defaultValuesList() {
    return "1,10";
  }

  /**
   * Sets the ranges for each attribute.
   *
   * @param fromToList the string containing the upper and lower boundary for
   * instances per cluster separated by ..
   * @throws Exception if values are not correct in number or value
   */
  public void setValuesList(String fromToList) throws Exception {
    m_minValue = new double [m_numClusterAttributes];
    m_maxValue = new double [m_numClusterAttributes];
    setValuesList(fromToList, m_minValue, m_maxValue, "D");
    SubspaceCluster parent = (SubspaceCluster) getParent();

    for (int i = 0; i < m_numClusterAttributes; i++) {
      if (m_minValue[i] > m_maxValue[i])
        throw new Exception("Min must be smaller than max.");

      if (getParent() != null) {
        // boolean values are only 0.0 and 1.0
        if (parent.isBoolean(m_attrIndices[i])) {
          parent.getNumValues()[m_attrIndices[i]] = 2;
          if (((m_minValue[i] != 0.0) && (m_minValue[i] != 1.0)) ||
              ((m_maxValue[i] != 0.0) && (m_maxValue[i] != 1.0)))
            throw new Exception("Ranges for boolean must be 0 or 1 only.");
        }

        if (parent.isNominal(m_attrIndices[i])) {
          // nominal values: attributes range might have to be enlarged
          double rest = m_minValue[i] - Math.rint(m_minValue[i]);
          if (rest != 0.0)
            throw new Exception(" Ranges for nominal must be integer");
          rest = m_maxValue[i] - Math.rint(m_maxValue[i]);
          if (rest != 0.0)
            throw new Exception("Ranges for nominal must be integer");
          if (m_minValue[i] < 0.0)
            throw new Exception("Range for nominal must start with number 0.0 or higher");
          if (m_maxValue[i] + 1 > parent.getNumValues()[m_attrIndices[i]]) {
            // add new values to attribute
            // (actual format is not yet defined)
            parent.getNumValues()[m_attrIndices[i]] = (int)m_maxValue[i] + 1;
          }
        }
      }
    }
  }

  /**
   * returns the range for each attribute as string
   */
  public String getValuesList() {
    String        result;
    int           i;

    result = "";

    if (m_minValue != null) {
      for (i = 0; i < m_minValue.length; i++) {
        if (i > 0)
          result += ",";
        result += "" + m_minValue[i] + "," + m_maxValue[i];
      }
    }

    return result;
  }
 
  /**
   * Returns the tip text for this property
   * @return tip text for this property suitable for
   * displaying in the explorer/experimenter gui
   */
  public String valuesListTipText() {
    return "The range for each each attribute as string.";
  }

  /**
   * returns the default mean/stddev list
   */
  protected String defaultMeanStddev() {
    return "0,1.0";
  }

  /**
   * Sets mean and standarddeviation.
   *
   * @param meanstddev the string containing the upper and lower boundary for
   * instances per cluster separated by ..
   * @throws Exception if values are not correct in number or value
   */
  public void setMeanStddev(String meanstddev) throws Exception {
    m_meanValue   = new double [m_numClusterAttributes];
    m_stddevValue = new double [m_numClusterAttributes];
    setValuesList(meanstddev, m_meanValue, m_stddevValue, "D");
  }

  /**
   * returns the current mean/stddev setup
   */
  public String getMeanStddev() {
    String        result;
    int           i;

    result = "";

    if (m_meanValue != null) {
      for (i = 0; i < m_meanValue.length; i++) {
        if (i > 0)
          result += ",";
        result += "" + m_meanValue[i] + "," + m_stddevValue[i];
      }
    }

    return result;
  }
 
  /**
   * Returns the tip text for this property
   * @return tip text for this property suitable for
   * displaying in the explorer/experimenter gui
   */
  public String meanStddevTipText() {
    return "The mean and stddev, in case of gaussian.";
  }

  /**
   * Sets the ranges for each attribute.
   *
   * @param fromToList the string containing the upper and lower boundary for
   * instances per cluster separated by ..
   * @param first the "from's"
   * @param second the "to's"
   * @param optionLetter the option, from which the list came
   * @throws Exception if values are not correct in number or value
   */
  public void setValuesList(String fromToList, double[] first, double[] second,
      String optionLetter) throws Exception {

    StringTokenizer     tok;
    int                 index;
   
    tok = new StringTokenizer(fromToList, ",");
    if (tok.countTokens() != first.length + second.length)
      throw new Exception(
          "Wrong number of values for option '-" + optionLetter + "'.");

    index = 0;
    while (tok.hasMoreTokens()) {
      first[index= Double.parseDouble(tok.nextToken());
      second[index] = Double.parseDouble(tok.nextToken());
      index++;
    }
  }
 
  /**
   * Returns the revision string.
   *
   * @return    the revision
   */
  public String getRevision() {
    return RevisionUtils.extract("$Revision: 1.5 $");
  }
}
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