/*
* Jalview - A Sequence Alignment Editor and Viewer ($$Version-Rel$$)
* Copyright (C) $$Year-Rel$$ The Jalview Authors
*
* This file is part of Jalview.
*
* Jalview 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 3
* of the License, or (at your option) any later version.
*
* Jalview 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 Jalview. If not, see .
* The Jalview Authors are detailed in the 'AUTHORS' file.
*/
package jalview.analysis;
import jalview.api.analysis.ScoreModelI;
import jalview.datamodel.AlignmentView;
import jalview.datamodel.BinaryNode;
import jalview.datamodel.CigarArray;
import jalview.datamodel.NodeTransformI;
import jalview.datamodel.SeqCigar;
import jalview.datamodel.Sequence;
import jalview.datamodel.SequenceI;
import jalview.datamodel.SequenceNode;
import jalview.io.NewickFile;
import jalview.schemes.ResidueProperties;
import java.util.Enumeration;
import java.util.List;
import java.util.Vector;
/**
* DOCUMENT ME!
*
* @author $author$
* @version $Revision$
*/
public class NJTree
{
Vector cluster;
SequenceI[] sequence;
// SequenceData is a string representation of what the user
// sees. The display may contain hidden columns.
public AlignmentView seqData = null;
int[] done;
int noseqs;
int noClus;
float[][] distance;
int mini;
int minj;
float ri;
float rj;
Vector groups = new Vector();
SequenceNode maxdist;
SequenceNode top;
float maxDistValue;
float maxheight;
int ycount;
Vector node;
String type;
String pwtype;
Object found = null;
Object leaves = null;
boolean hasDistances = true; // normal case for jalview trees
boolean hasBootstrap = false; // normal case for jalview trees
private boolean hasRootDistance = true;
/**
* Create a new NJTree object with leaves associated with sequences in seqs,
* and original alignment data represented by Cigar strings.
*
* @param seqs
* SequenceI[]
* @param odata
* Cigar[]
* @param treefile
* NewickFile
*/
public NJTree(SequenceI[] seqs, AlignmentView odata, NewickFile treefile)
{
this(seqs, treefile);
if (odata != null)
{
seqData = odata;
}
/*
* sequenceString = new String[odata.length]; char gapChar =
* jalview.util.Comparison.GapChars.charAt(0); for (int i = 0; i <
* odata.length; i++) { SequenceI oseq_aligned = odata[i].getSeq(gapChar);
* sequenceString[i] = oseq_aligned.getSequence(); }
*/
}
/**
* Creates a new NJTree object from a tree from an external source
*
* @param seqs
* SequenceI which should be associated with leafs of treefile
* @param treefile
* A parsed tree
*/
public NJTree(SequenceI[] seqs, NewickFile treefile)
{
this.sequence = seqs;
top = treefile.getTree();
/**
* There is no dependent alignment to be recovered from an imported tree.
*
* if (sequenceString == null) { sequenceString = new String[seqs.length];
* for (int i = 0; i < seqs.length; i++) { sequenceString[i] =
* seqs[i].getSequence(); } }
*/
hasDistances = treefile.HasDistances();
hasBootstrap = treefile.HasBootstrap();
hasRootDistance = treefile.HasRootDistance();
maxheight = findHeight(top);
SequenceIdMatcher algnIds = new SequenceIdMatcher(seqs);
Vector leaves = new Vector();
findLeaves(top, leaves);
int i = 0;
int namesleft = seqs.length;
SequenceNode j;
SequenceI nam;
String realnam;
Vector one2many = new Vector();
int countOne2Many = 0;
while (i < leaves.size())
{
j = (SequenceNode) leaves.elementAt(i++);
realnam = j.getName();
nam = null;
if (namesleft > -1)
{
nam = algnIds.findIdMatch(realnam);
}
if (nam != null)
{
j.setElement(nam);
if (one2many.contains(nam))
{
countOne2Many++;
// if (jalview.bin.Cache.log.isDebugEnabled())
// jalview.bin.Cache.log.debug("One 2 many relationship for
// "+nam.getName());
}
else
{
one2many.addElement(nam);
namesleft--;
}
}
else
{
j.setElement(new Sequence(realnam, "THISISAPLACEHLDER"));
j.setPlaceholder(true);
}
}
// if (jalview.bin.Cache.log.isDebugEnabled() && countOne2Many>0) {
// jalview.bin.Cache.log.debug("There were "+countOne2Many+" alignment
// sequence ids (out of "+one2many.size()+" unique ids) linked to two or
// more leaves.");
// }
// one2many.clear();
}
/**
* Creates a new NJTree object.
*
* @param sequence
* DOCUMENT ME!
* @param type
* DOCUMENT ME!
* @param pwtype
* DOCUMENT ME!
* @param start
* DOCUMENT ME!
* @param end
* DOCUMENT ME!
*/
public NJTree(SequenceI[] sequence, AlignmentView seqData, String type,
String pwtype, ScoreModelI sm, int start, int end)
{
this.sequence = sequence;
this.node = new Vector();
this.type = type;
this.pwtype = pwtype;
if (seqData != null)
{
this.seqData = seqData;
}
else
{
SeqCigar[] seqs = new SeqCigar[sequence.length];
for (int i = 0; i < sequence.length; i++)
{
seqs[i] = new SeqCigar(sequence[i], start, end);
}
CigarArray sdata = new CigarArray(seqs);
sdata.addOperation(CigarArray.M, end - start + 1);
this.seqData = new AlignmentView(sdata, start);
}
// System.err.println("Made seqData");// dbg
if (!(type.equals("NJ")))
{
type = "AV";
}
if (sm == null && !(pwtype.equals("PID")))
{
if (ResidueProperties.getScoreMatrix(pwtype) == null)
{
pwtype = "BLOSUM62";
}
}
int i = 0;
done = new int[sequence.length];
while ((i < sequence.length) && (sequence[i] != null))
{
done[i] = 0;
i++;
}
noseqs = i++;
distance = findDistances(sm);
// System.err.println("Made distances");// dbg
makeLeaves();
// System.err.println("Made leaves");// dbg
noClus = cluster.size();
cluster();
// System.err.println("Made clusters");// dbg
}
/**
* Generate a string representation of the Tree
*
* @return Newick File with all tree data available
*/
public String toString()
{
jalview.io.NewickFile fout = new jalview.io.NewickFile(getTopNode());
return fout.print(isHasBootstrap(), isHasDistances(),
isHasRootDistance()); // output all data available for tree
}
/**
*
* used when the alignment associated to a tree has changed.
*
* @param list
* Sequence set to be associated with tree nodes
*/
public void UpdatePlaceHolders(List list)
{
Vector leaves = new Vector();
findLeaves(top, leaves);
int sz = leaves.size();
SequenceIdMatcher seqmatcher = null;
int i = 0;
while (i < sz)
{
SequenceNode leaf = (SequenceNode) leaves.elementAt(i++);
if (list.contains(leaf.element()))
{
leaf.setPlaceholder(false);
}
else
{
if (seqmatcher == null)
{
// Only create this the first time we need it
SequenceI[] seqs = new SequenceI[list.size()];
for (int j = 0; j < seqs.length; j++)
{
seqs[j] = list.get(j);
}
seqmatcher = new SequenceIdMatcher(seqs);
}
SequenceI nam = seqmatcher.findIdMatch(leaf.getName());
if (nam != null)
{
if (!leaf.isPlaceholder())
{
// remapping the node to a new sequenceI - should remove any refs to
// old one.
// TODO - make many sequenceI to one leaf mappings possible!
// (JBPNote)
}
leaf.setPlaceholder(false);
leaf.setElement(nam);
}
else
{
if (!leaf.isPlaceholder())
{
// Construct a new placeholder sequence object for this leaf
leaf.setElement(new Sequence(leaf.getName(),
"THISISAPLACEHLDER"));
}
leaf.setPlaceholder(true);
}
}
}
}
/**
* rename any nodes according to their associated sequence. This will modify
* the tree's metadata! (ie the original NewickFile or newly generated
* BinaryTree's label data)
*/
public void renameAssociatedNodes()
{
applyToNodes(new NodeTransformI()
{
@Override
public void transform(BinaryNode node)
{
Object el = node.element();
if (el != null && el instanceof SequenceI)
{
node.setName(((SequenceI) el).getName());
}
}
});
}
/**
* DOCUMENT ME!
*/
public void cluster()
{
while (noClus > 2)
{
if (type.equals("NJ"))
{
findMinNJDistance();
}
else
{
findMinDistance();
}
Cluster c = joinClusters(mini, minj);
done[minj] = 1;
cluster.setElementAt(null, minj);
cluster.setElementAt(c, mini);
noClus--;
}
boolean onefound = false;
int one = -1;
int two = -1;
for (int i = 0; i < noseqs; i++)
{
if (done[i] != 1)
{
if (onefound == false)
{
two = i;
onefound = true;
}
else
{
one = i;
}
}
}
joinClusters(one, two);
top = (SequenceNode) (node.elementAt(one));
reCount(top);
findHeight(top);
findMaxDist(top);
}
/**
* DOCUMENT ME!
*
* @param i
* DOCUMENT ME!
* @param j
* DOCUMENT ME!
*
* @return DOCUMENT ME!
*/
public Cluster joinClusters(int i, int j)
{
float dist = distance[i][j];
int noi = ((Cluster) cluster.elementAt(i)).value.length;
int noj = ((Cluster) cluster.elementAt(j)).value.length;
int[] value = new int[noi + noj];
for (int ii = 0; ii < noi; ii++)
{
value[ii] = ((Cluster) cluster.elementAt(i)).value[ii];
}
for (int ii = noi; ii < (noi + noj); ii++)
{
value[ii] = ((Cluster) cluster.elementAt(j)).value[ii - noi];
}
Cluster c = new Cluster(value);
ri = findr(i, j);
rj = findr(j, i);
if (type.equals("NJ"))
{
findClusterNJDistance(i, j);
}
else
{
findClusterDistance(i, j);
}
SequenceNode sn = new SequenceNode();
sn.setLeft((SequenceNode) (node.elementAt(i)));
sn.setRight((SequenceNode) (node.elementAt(j)));
SequenceNode tmpi = (SequenceNode) (node.elementAt(i));
SequenceNode tmpj = (SequenceNode) (node.elementAt(j));
if (type.equals("NJ"))
{
findNewNJDistances(tmpi, tmpj, dist);
}
else
{
findNewDistances(tmpi, tmpj, dist);
}
tmpi.setParent(sn);
tmpj.setParent(sn);
node.setElementAt(sn, i);
return c;
}
/**
* DOCUMENT ME!
*
* @param tmpi
* DOCUMENT ME!
* @param tmpj
* DOCUMENT ME!
* @param dist
* DOCUMENT ME!
*/
public void findNewNJDistances(SequenceNode tmpi, SequenceNode tmpj,
float dist)
{
tmpi.dist = ((dist + ri) - rj) / 2;
tmpj.dist = (dist - tmpi.dist);
if (tmpi.dist < 0)
{
tmpi.dist = 0;
}
if (tmpj.dist < 0)
{
tmpj.dist = 0;
}
}
/**
* DOCUMENT ME!
*
* @param tmpi
* DOCUMENT ME!
* @param tmpj
* DOCUMENT ME!
* @param dist
* DOCUMENT ME!
*/
public void findNewDistances(SequenceNode tmpi, SequenceNode tmpj,
float dist)
{
float ih = 0;
float jh = 0;
SequenceNode sni = tmpi;
SequenceNode snj = tmpj;
while (sni != null)
{
ih = ih + sni.dist;
sni = (SequenceNode) sni.left();
}
while (snj != null)
{
jh = jh + snj.dist;
snj = (SequenceNode) snj.left();
}
tmpi.dist = ((dist / 2) - ih);
tmpj.dist = ((dist / 2) - jh);
}
/**
* DOCUMENT ME!
*
* @param i
* DOCUMENT ME!
* @param j
* DOCUMENT ME!
*/
public void findClusterDistance(int i, int j)
{
int noi = ((Cluster) cluster.elementAt(i)).value.length;
int noj = ((Cluster) cluster.elementAt(j)).value.length;
// New distances from cluster to others
float[] newdist = new float[noseqs];
for (int l = 0; l < noseqs; l++)
{
if ((l != i) && (l != j))
{
newdist[l] = ((distance[i][l] * noi) + (distance[j][l] * noj))
/ (noi + noj);
}
else
{
newdist[l] = 0;
}
}
for (int ii = 0; ii < noseqs; ii++)
{
distance[i][ii] = newdist[ii];
distance[ii][i] = newdist[ii];
}
}
/**
* DOCUMENT ME!
*
* @param i
* DOCUMENT ME!
* @param j
* DOCUMENT ME!
*/
public void findClusterNJDistance(int i, int j)
{
// New distances from cluster to others
float[] newdist = new float[noseqs];
for (int l = 0; l < noseqs; l++)
{
if ((l != i) && (l != j))
{
newdist[l] = ((distance[i][l] + distance[j][l]) - distance[i][j]) / 2;
}
else
{
newdist[l] = 0;
}
}
for (int ii = 0; ii < noseqs; ii++)
{
distance[i][ii] = newdist[ii];
distance[ii][i] = newdist[ii];
}
}
/**
* DOCUMENT ME!
*
* @param i
* DOCUMENT ME!
* @param j
* DOCUMENT ME!
*
* @return DOCUMENT ME!
*/
public float findr(int i, int j)
{
float tmp = 1;
for (int k = 0; k < noseqs; k++)
{
if ((k != i) && (k != j) && (done[k] != 1))
{
tmp = tmp + distance[i][k];
}
}
if (noClus > 2)
{
tmp = tmp / (noClus - 2);
}
return tmp;
}
/**
* DOCUMENT ME!
*
* @return DOCUMENT ME!
*/
public float findMinNJDistance()
{
float min = 100000;
for (int i = 0; i < (noseqs - 1); i++)
{
for (int j = i + 1; j < noseqs; j++)
{
if ((done[i] != 1) && (done[j] != 1))
{
float tmp = distance[i][j] - (findr(i, j) + findr(j, i));
if (tmp < min)
{
mini = i;
minj = j;
min = tmp;
}
}
}
}
return min;
}
/**
* DOCUMENT ME!
*
* @return DOCUMENT ME!
*/
public float findMinDistance()
{
float min = 100000;
for (int i = 0; i < (noseqs - 1); i++)
{
for (int j = i + 1; j < noseqs; j++)
{
if ((done[i] != 1) && (done[j] != 1))
{
if (distance[i][j] < min)
{
mini = i;
minj = j;
min = distance[i][j];
}
}
}
}
return min;
}
/**
* Calculate a distance matrix given the sequence input data and score model
*
* @return similarity matrix used to compute tree
*/
public float[][] findDistances(ScoreModelI _pwmatrix)
{
float[][] distance = new float[noseqs][noseqs];
if (_pwmatrix == null)
{
// Resolve substitution model
_pwmatrix = ResidueProperties.getScoreModel(pwtype);
if (_pwmatrix == null)
{
_pwmatrix = ResidueProperties.getScoreMatrix("BLOSUM62");
}
}
distance = _pwmatrix.findDistances(seqData);
return distance;
}
/**
* DOCUMENT ME!
*/
public void makeLeaves()
{
cluster = new Vector();
for (int i = 0; i < noseqs; i++)
{
SequenceNode sn = new SequenceNode();
sn.setElement(sequence[i]);
sn.setName(sequence[i].getName());
node.addElement(sn);
int[] value = new int[1];
value[0] = i;
Cluster c = new Cluster(value);
cluster.addElement(c);
}
}
/**
* Search for leaf nodes.
*
* @param node
* root node to search from
* @param leaves
* Vector of leaves to add leaf node objects too.
*
* @return Vector of leaf nodes on binary tree
*/
public Vector findLeaves(SequenceNode node, Vector leaves)
{
if (node == null)
{
return leaves;
}
if ((node.left() == null) && (node.right() == null)) // Interior node
// detection
{
leaves.addElement(node);
return leaves;
}
else
{
/*
* TODO: Identify internal nodes... if (node.isSequenceLabel()) {
* leaves.addElement(node); }
*/
findLeaves((SequenceNode) node.left(), leaves);
findLeaves((SequenceNode) node.right(), leaves);
}
return leaves;
}
/**
* Find the leaf node with a particular ycount
*
* @param node
* initial point on tree to search from
* @param count
* value to search for
*
* @return null or the node with ycound=count
*/
public Object findLeaf(SequenceNode node, int count)
{
found = _findLeaf(node, count);
return found;
}
/*
* #see findLeaf(SequenceNode node, count)
*/
public Object _findLeaf(SequenceNode node, int count)
{
if (node == null)
{
return null;
}
if (node.ycount == count)
{
found = node.element();
return found;
}
else
{
_findLeaf((SequenceNode) node.left(), count);
_findLeaf((SequenceNode) node.right(), count);
}
return found;
}
/**
* printNode is mainly for debugging purposes.
*
* @param node
* SequenceNode
*/
public void printNode(SequenceNode node)
{
if (node == null)
{
return;
}
if ((node.left() == null) && (node.right() == null))
{
System.out
.println("Leaf = " + ((SequenceI) node.element()).getName());
System.out.println("Dist " + node.dist);
System.out.println("Boot " + node.getBootstrap());
}
else
{
System.out.println("Dist " + node.dist);
printNode((SequenceNode) node.left());
printNode((SequenceNode) node.right());
}
}
/**
* DOCUMENT ME!
*
* @param node
* DOCUMENT ME!
*/
public void findMaxDist(SequenceNode node)
{
if (node == null)
{
return;
}
if ((node.left() == null) && (node.right() == null))
{
float dist = node.dist;
if (dist > maxDistValue)
{
maxdist = node;
maxDistValue = dist;
}
}
else
{
findMaxDist((SequenceNode) node.left());
findMaxDist((SequenceNode) node.right());
}
}
/**
* DOCUMENT ME!
*
* @return DOCUMENT ME!
*/
public Vector getGroups()
{
return groups;
}
/**
* DOCUMENT ME!
*
* @return DOCUMENT ME!
*/
public float getMaxHeight()
{
return maxheight;
}
/**
* DOCUMENT ME!
*
* @param node
* DOCUMENT ME!
* @param threshold
* DOCUMENT ME!
*/
public void groupNodes(SequenceNode node, float threshold)
{
if (node == null)
{
return;
}
if ((node.height / maxheight) > threshold)
{
groups.addElement(node);
}
else
{
groupNodes((SequenceNode) node.left(), threshold);
groupNodes((SequenceNode) node.right(), threshold);
}
}
/**
* DOCUMENT ME!
*
* @param node
* DOCUMENT ME!
*
* @return DOCUMENT ME!
*/
public float findHeight(SequenceNode node)
{
if (node == null)
{
return maxheight;
}
if ((node.left() == null) && (node.right() == null))
{
node.height = ((SequenceNode) node.parent()).height + node.dist;
if (node.height > maxheight)
{
return node.height;
}
else
{
return maxheight;
}
}
else
{
if (node.parent() != null)
{
node.height = ((SequenceNode) node.parent()).height + node.dist;
}
else
{
maxheight = 0;
node.height = (float) 0.0;
}
maxheight = findHeight((SequenceNode) (node.left()));
maxheight = findHeight((SequenceNode) (node.right()));
}
return maxheight;
}
/**
* DOCUMENT ME!
*
* @return DOCUMENT ME!
*/
public SequenceNode reRoot()
{
if (maxdist != null)
{
ycount = 0;
float tmpdist = maxdist.dist;
// New top
SequenceNode sn = new SequenceNode();
sn.setParent(null);
// New right hand of top
SequenceNode snr = (SequenceNode) maxdist.parent();
changeDirection(snr, maxdist);
System.out.println("Printing reversed tree");
printN(snr);
snr.dist = tmpdist / 2;
maxdist.dist = tmpdist / 2;
snr.setParent(sn);
maxdist.setParent(sn);
sn.setRight(snr);
sn.setLeft(maxdist);
top = sn;
ycount = 0;
reCount(top);
findHeight(top);
}
return top;
}
/**
*
* @return true if original sequence data can be recovered
*/
public boolean hasOriginalSequenceData()
{
return seqData != null;
}
/**
* Returns original alignment data used for calculation - or null where not
* available.
*
* @return null or cut'n'pasteable alignment
*/
public String printOriginalSequenceData(char gapChar)
{
if (seqData == null)
{
return null;
}
StringBuffer sb = new StringBuffer();
String[] seqdatas = seqData.getSequenceStrings(gapChar);
for (int i = 0; i < seqdatas.length; i++)
{
sb.append(new jalview.util.Format("%-" + 15 + "s").form(sequence[i]
.getName()));
sb.append(" " + seqdatas[i] + "\n");
}
return sb.toString();
}
/**
* DOCUMENT ME!
*
* @param node
* DOCUMENT ME!
*/
public void printN(SequenceNode node)
{
if (node == null)
{
return;
}
if ((node.left() != null) && (node.right() != null))
{
printN((SequenceNode) node.left());
printN((SequenceNode) node.right());
}
else
{
System.out.println(" name = "
+ ((SequenceI) node.element()).getName());
}
System.out.println(" dist = " + node.dist + " "
+ node.count + " "
+ node.height);
}
/**
* DOCUMENT ME!
*
* @param node
* DOCUMENT ME!
*/
public void reCount(SequenceNode node)
{
ycount = 0;
_lycount = 0;
// _lylimit = this.node.size();
_reCount(node);
}
private long _lycount = 0, _lylimit = 0;
/**
* DOCUMENT ME!
*
* @param node
* DOCUMENT ME!
*/
public void _reCount(SequenceNode node)
{
// if (_lycount<_lylimit)
// {
// System.err.println("Warning: depth of _recount greater than number of nodes.");
// }
if (node == null)
{
return;
}
_lycount++;
if ((node.left() != null) && (node.right() != null))
{
_reCount((SequenceNode) node.left());
_reCount((SequenceNode) node.right());
SequenceNode l = (SequenceNode) node.left();
SequenceNode r = (SequenceNode) node.right();
node.count = l.count + r.count;
node.ycount = (l.ycount + r.ycount) / 2;
}
else
{
node.count = 1;
node.ycount = ycount++;
}
_lycount--;
}
/**
* DOCUMENT ME!
*
* @param node
* DOCUMENT ME!
*/
public void swapNodes(SequenceNode node)
{
if (node == null)
{
return;
}
SequenceNode tmp = (SequenceNode) node.left();
node.setLeft(node.right());
node.setRight(tmp);
}
/**
* DOCUMENT ME!
*
* @param node
* DOCUMENT ME!
* @param dir
* DOCUMENT ME!
*/
public void changeDirection(SequenceNode node, SequenceNode dir)
{
if (node == null)
{
return;
}
if (node.parent() != top)
{
changeDirection((SequenceNode) node.parent(), node);
SequenceNode tmp = (SequenceNode) node.parent();
if (dir == node.left())
{
node.setParent(dir);
node.setLeft(tmp);
}
else if (dir == node.right())
{
node.setParent(dir);
node.setRight(tmp);
}
}
else
{
if (dir == node.left())
{
node.setParent(node.left());
if (top.left() == node)
{
node.setRight(top.right());
}
else
{
node.setRight(top.left());
}
}
else
{
node.setParent(node.right());
if (top.left() == node)
{
node.setLeft(top.right());
}
else
{
node.setLeft(top.left());
}
}
}
}
/**
* DOCUMENT ME!
*
* @return DOCUMENT ME!
*/
public SequenceNode getMaxDist()
{
return maxdist;
}
/**
* DOCUMENT ME!
*
* @return DOCUMENT ME!
*/
public SequenceNode getTopNode()
{
return top;
}
/**
*
* @return true if tree has real distances
*/
public boolean isHasDistances()
{
return hasDistances;
}
/**
*
* @return true if tree has real bootstrap values
*/
public boolean isHasBootstrap()
{
return hasBootstrap;
}
public boolean isHasRootDistance()
{
return hasRootDistance;
}
/**
* apply the given transform to all the nodes in the tree.
*
* @param nodeTransformI
*/
public void applyToNodes(NodeTransformI nodeTransformI)
{
for (Enumeration nodes = node.elements(); nodes.hasMoreElements(); nodeTransformI
.transform((BinaryNode) nodes.nextElement()))
{
;
}
}
}
/**
* DOCUMENT ME!
*
* @author $author$
* @version $Revision$
*/
class Cluster
{
int[] value;
/**
* Creates a new Cluster object.
*
* @param value
* DOCUMENT ME!
*/
public Cluster(int[] value)
{
this.value = value;
}
}