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+ <span class="siteTitle">NYTProf Performance Profile</span>
+ <span class="siteSubtitle">  <span>« <span class="mode_btn mode_btn_selected">block view</span> • <span class="mode_btn"><a href="Graph-UnionFind-pm-704-line.html">line view</a></span> • <span class="mode_btn"><a href="Graph-UnionFind-pm-704-sub.html">sub view</a></span> »</span><br />
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+ <span class="siteSubtitle">Run on Thu May 31 16:49:15 2012<br />Reported on Thu May 31 16:51:54 2012</span>
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+<div style="position: absolute; left: 0px; top: 100%; width: 100%; height: 1%; z-index: -1; background-color: rgb(0, 68, 187); "></div>
+</div>
+
+<div class="body_content"><br />
+<table class="file_summary"><tr><td class="h">Filename</td><td align="left"><a href="file:///Users/edenc/perl5/lib/perl5/Graph/UnionFind.pm">/Users/edenc/perl5/lib/perl5/Graph/UnionFind.pm</a></td></tr>
+<tr><td class="h">Statements</td><td align="left">Executed 3 statements in 465µs</td></tr></table>
+
+ <table id="subs_table" border="1" cellpadding="0" class="tablesorter">
+ <caption>Subroutines</caption>
+ <thead>
+ <tr>
+ <th>Calls</th>
+ <th><span title="Number of Places sub is called from">P</span></th>
+ <th><span title="Number of Files sub is called from">F</span></th>
+ <th>Exclusive<br />Time</th>
+ <th>Inclusive<br />Time</th>
+ <th>Subroutine</th>
+ </tr>
+ </thead>
+ <tbody>
+<tr><td class="c3">1</td><td class="c3">1</td><td class="c3">1</td><td class="c3"><span title="0.0%">15µs</span></td><td class="c3"><span title="0.0%">19µs</span></td><td class="sub_name"><span style="display: none;">Graph::UnionFind::::BEGIN@3</span>Graph::UnionFind::<a href="Graph-UnionFind-pm-704-block.html#3">BEGIN@3</a></span></td></tr>
+<tr><td class="c3">0</td><td class="c3">0</td><td class="c3">0</td><td class="c3"><span title="0.0%">0s</span></td><td class="c3"><span title="0.0%">0s</span></td><td class="sub_name"><span style="display: none;">Graph::UnionFind::::_parent</span>Graph::UnionFind::<a href="Graph-UnionFind-pm-704-block.html#23">_parent</a></span></td></tr>
+<tr><td class="c3">0</td><td class="c3">0</td><td class="c3">0</td><td class="c3"><span title="0.0%">0s</span></td><td class="c3"><span title="0.0%">0s</span></td><td class="sub_name"><span style="display: none;">Graph::UnionFind::::_rank</span>Graph::UnionFind::<a href="Graph-UnionFind-pm-704-block.html#35">_rank</a></span></td></tr>
+<tr><td class="c3">0</td><td class="c3">0</td><td class="c3">0</td><td class="c3"><span title="0.0%">0s</span></td><td class="c3"><span title="0.0%">0s</span></td><td class="sub_name"><span style="display: none;">Graph::UnionFind::::add</span>Graph::UnionFind::<a href="Graph-UnionFind-pm-704-block.html#13">add</a></span></td></tr>
+<tr><td class="c3">0</td><td class="c3">0</td><td class="c3">0</td><td class="c3"><span title="0.0%">0s</span></td><td class="c3"><span title="0.0%">0s</span></td><td class="sub_name"><span style="display: none;">Graph::UnionFind::::find</span>Graph::UnionFind::<a href="Graph-UnionFind-pm-704-block.html#47">find</a></span></td></tr>
+<tr><td class="c3">0</td><td class="c3">0</td><td class="c3">0</td><td class="c3"><span title="0.0%">0s</span></td><td class="c3"><span title="0.0%">0s</span></td><td class="sub_name"><span style="display: none;">Graph::UnionFind::::has</span>Graph::UnionFind::<a href="Graph-UnionFind-pm-704-block.html#18">has</a></span></td></tr>
+<tr><td class="c3">0</td><td class="c3">0</td><td class="c3">0</td><td class="c3"><span title="0.0%">0s</span></td><td class="c3"><span title="0.0%">0s</span></td><td class="sub_name"><span style="display: none;">Graph::UnionFind::::new</span>Graph::UnionFind::<a href="Graph-UnionFind-pm-704-block.html#8">new</a></span></td></tr>
+<tr><td class="c3">0</td><td class="c3">0</td><td class="c3">0</td><td class="c3"><span title="0.0%">0s</span></td><td class="c3"><span title="0.0%">0s</span></td><td class="sub_name"><span style="display: none;">Graph::UnionFind::::same</span>Graph::UnionFind::<a href="Graph-UnionFind-pm-704-block.html#73">same</a></span></td></tr>
+<tr><td class="c3">0</td><td class="c3">0</td><td class="c3">0</td><td class="c3"><span title="0.0%">0s</span></td><td class="c3"><span title="0.0%">0s</span></td><td class="sub_name"><span style="display: none;">Graph::UnionFind::::union</span>Graph::UnionFind::<a href="Graph-UnionFind-pm-704-block.html#55">union</a></span></td></tr>
+</tbody></table>
+ Call graph for these subroutines as a
+ <a href="http://en.wikipedia.org/wiki/Graphviz">Graphviz</a>
+ <a href="Users-edenc-perl5-lib-perl5-Graph-UnionFind-pm.dot">dot language file</a>.
+
+ <table border="1" cellpadding="0">
+ <thead>
+ <tr><th>Line</th>
+ <th><span title="Number of statements executed">State<br />ments</span></th>
+ <th><span title="Time spend executing statements on the line,
+ excluding time spent executing statements in any called subroutines">Time<br />on line</span></th>
+ <th><span title="Number of subroutines calls">Calls</span></th>
+ <th><span title="Time spent in subroutines called (inclusive)">Time<br />in subs</span></th>
+ <th class="left_indent_header">Code</th>
+ </tr>
+
+ </thead>
+ <tbody>
+ <tr><td class="h"><a name="1"></a>1</td><td></td><td></td><td></td><td></td><td class="s">package Graph::UnionFind;</td></tr>
+<tr><td class="h"><a name="2"></a>2</td><td></td><td></td><td></td><td></td><td class="s"></td></tr>
+<tr><td class="h"><a name="3"></a>3</td><td class="c3">2</td><td class="c3"><span title="Avg 231µs">462µs</span></td><td class="c3">2</td><td class="c3">24µs</td><td class="s"><div class="calls"><div class="calls_in"># spent 19µs (15+4) within Graph::UnionFind::BEGIN@3 which was called:
+# once (15µs+4µs) by Graph::BEGIN@31 at <a href="Graph-UnionFind-pm-704-block.html#3">line 3</a></div></div>use strict;<div class="calls"><div class="calls_out"># spent 19µs making 1 call to <a href="Graph-UnionFind-pm-704-block.html#3">Graph::UnionFind::BEGIN@3</a>
+# spent 4µs making 1 call to <a href="strict-pm-3-block.html#34">strict::import</a></div></div></td></tr>
+<tr><td class="h"><a name="4"></a>4</td><td></td><td></td><td></td><td></td><td class="s"></td></tr>
+<tr><td class="h"><a name="5"></a>5</td><td></td><td></td><td></td><td></td><td class="s">sub _PARENT () { 0 }</td></tr>
+<tr><td class="h"><a name="6"></a>6</td><td></td><td></td><td></td><td></td><td class="s">sub _RANK () { 1 }</td></tr>
+<tr><td class="h"><a name="7"></a>7</td><td></td><td></td><td></td><td></td><td class="s"></td></tr>
+<tr><td class="h"><a name="8"></a>8</td><td></td><td></td><td></td><td></td><td class="s">sub new {</td></tr>
+<tr><td class="h"><a name="9"></a>9</td><td></td><td></td><td></td><td></td><td class="s"> my $class = shift;</td></tr>
+<tr><td class="h"><a name="10"></a>10</td><td></td><td></td><td></td><td></td><td class="s"> bless { }, $class;</td></tr>
+<tr><td class="h"><a name="11"></a>11</td><td></td><td></td><td></td><td></td><td class="s">}</td></tr>
+<tr><td class="h"><a name="12"></a>12</td><td></td><td></td><td></td><td></td><td class="s"></td></tr>
+<tr><td class="h"><a name="13"></a>13</td><td></td><td></td><td></td><td></td><td class="s">sub add {</td></tr>
+<tr><td class="h"><a name="14"></a>14</td><td></td><td></td><td></td><td></td><td class="s"> my ($self, $elem) = @_;</td></tr>
+<tr><td class="h"><a name="15"></a>15</td><td></td><td></td><td></td><td></td><td class="s"> $self->{ $elem } = [ $elem, 0 ] unless defined $self->{$elem};</td></tr>
+<tr><td class="h"><a name="16"></a>16</td><td></td><td></td><td></td><td></td><td class="s">}</td></tr>
+<tr><td class="h"><a name="17"></a>17</td><td></td><td></td><td></td><td></td><td class="s"></td></tr>
+<tr><td class="h"><a name="18"></a>18</td><td></td><td></td><td></td><td></td><td class="s">sub has {</td></tr>
+<tr><td class="h"><a name="19"></a>19</td><td></td><td></td><td></td><td></td><td class="s"> my ($self, $elem) = @_;</td></tr>
+<tr><td class="h"><a name="20"></a>20</td><td></td><td></td><td></td><td></td><td class="s"> exists $self->{ $elem };</td></tr>
+<tr><td class="h"><a name="21"></a>21</td><td></td><td></td><td></td><td></td><td class="s">}</td></tr>
+<tr><td class="h"><a name="22"></a>22</td><td></td><td></td><td></td><td></td><td class="s"></td></tr>
+<tr><td class="h"><a name="23"></a>23</td><td></td><td></td><td></td><td></td><td class="s">sub _parent {</td></tr>
+<tr><td class="h"><a name="24"></a>24</td><td></td><td></td><td></td><td></td><td class="s"> return undef unless defined $_[1];</td></tr>
+<tr><td class="h"><a name="25"></a>25</td><td></td><td></td><td></td><td></td><td class="s"> if (@_ == 2) {</td></tr>
+<tr><td class="h"><a name="26"></a>26</td><td></td><td></td><td></td><td></td><td class="s"> exists $_[0]->{ $_[ 1 ] } ? $_[0]->{ $_[1] }->[ _PARENT ] : undef;</td></tr>
+<tr><td class="h"><a name="27"></a>27</td><td></td><td></td><td></td><td></td><td class="s"> } elsif (@_ == 3) {</td></tr>
+<tr><td class="h"><a name="28"></a>28</td><td></td><td></td><td></td><td></td><td class="s"> $_[0]->{ $_[1] }->[ _PARENT ] = $_[2];</td></tr>
+<tr><td class="h"><a name="29"></a>29</td><td></td><td></td><td></td><td></td><td class="s"> } else {</td></tr>
+<tr><td class="h"><a name="30"></a>30</td><td></td><td></td><td></td><td></td><td class="s"> require Carp;</td></tr>
+<tr><td class="h"><a name="31"></a>31</td><td></td><td></td><td></td><td></td><td class="s"> Carp::croak(__PACKAGE__ . "::_parent: bad arity");</td></tr>
+<tr><td class="h"><a name="32"></a>32</td><td></td><td></td><td></td><td></td><td class="s"> }</td></tr>
+<tr><td class="h"><a name="33"></a>33</td><td></td><td></td><td></td><td></td><td class="s">}</td></tr>
+<tr><td class="h"><a name="34"></a>34</td><td></td><td></td><td></td><td></td><td class="s"></td></tr>
+<tr><td class="h"><a name="35"></a>35</td><td></td><td></td><td></td><td></td><td class="s">sub _rank {</td></tr>
+<tr><td class="h"><a name="36"></a>36</td><td></td><td></td><td></td><td></td><td class="s"> return unless defined $_[1];</td></tr>
+<tr><td class="h"><a name="37"></a>37</td><td></td><td></td><td></td><td></td><td class="s"> if (@_ == 2) {</td></tr>
+<tr><td class="h"><a name="38"></a>38</td><td></td><td></td><td></td><td></td><td class="s"> exists $_[0]->{ $_[1] } ? $_[0]->{ $_[1] }->[ _RANK ] : undef;</td></tr>
+<tr><td class="h"><a name="39"></a>39</td><td></td><td></td><td></td><td></td><td class="s"> } elsif (@_ == 3) {</td></tr>
+<tr><td class="h"><a name="40"></a>40</td><td></td><td></td><td></td><td></td><td class="s"> $_[0]->{ $_[1] }->[ _RANK ] = $_[2];</td></tr>
+<tr><td class="h"><a name="41"></a>41</td><td></td><td></td><td></td><td></td><td class="s"> } else {</td></tr>
+<tr><td class="h"><a name="42"></a>42</td><td></td><td></td><td></td><td></td><td class="s"> require Carp;</td></tr>
+<tr><td class="h"><a name="43"></a>43</td><td></td><td></td><td></td><td></td><td class="s"> Carp::croak(__PACKAGE__ . "::_rank: bad arity");</td></tr>
+<tr><td class="h"><a name="44"></a>44</td><td></td><td></td><td></td><td></td><td class="s"> }</td></tr>
+<tr><td class="h"><a name="45"></a>45</td><td></td><td></td><td></td><td></td><td class="s">}</td></tr>
+<tr><td class="h"><a name="46"></a>46</td><td></td><td></td><td></td><td></td><td class="s"></td></tr>
+<tr><td class="h"><a name="47"></a>47</td><td></td><td></td><td></td><td></td><td class="s">sub find {</td></tr>
+<tr><td class="h"><a name="48"></a>48</td><td></td><td></td><td></td><td></td><td class="s"> my ($self, $x) = @_;</td></tr>
+<tr><td class="h"><a name="49"></a>49</td><td></td><td></td><td></td><td></td><td class="s"> my $px = $self->_parent( $x );</td></tr>
+<tr><td class="h"><a name="50"></a>50</td><td></td><td></td><td></td><td></td><td class="s"> return unless defined $px;</td></tr>
+<tr><td class="h"><a name="51"></a>51</td><td></td><td></td><td></td><td></td><td class="s"> $self->_parent( $x, $self->find( $px ) ) if $px ne $x;</td></tr>
+<tr><td class="h"><a name="52"></a>52</td><td></td><td></td><td></td><td></td><td class="s"> $self->_parent( $x );</td></tr>
+<tr><td class="h"><a name="53"></a>53</td><td></td><td></td><td></td><td></td><td class="s">}</td></tr>
+<tr><td class="h"><a name="54"></a>54</td><td></td><td></td><td></td><td></td><td class="s"></td></tr>
+<tr><td class="h"><a name="55"></a>55</td><td></td><td></td><td></td><td></td><td class="s">sub union {</td></tr>
+<tr><td class="h"><a name="56"></a>56</td><td></td><td></td><td></td><td></td><td class="s"> my ($self, $x, $y) = @_;</td></tr>
+<tr><td class="h"><a name="57"></a>57</td><td></td><td></td><td></td><td></td><td class="s"> $self->add($x) unless $self->has($x);</td></tr>
+<tr><td class="h"><a name="58"></a>58</td><td></td><td></td><td></td><td></td><td class="s"> $self->add($y) unless $self->has($y);</td></tr>
+<tr><td class="h"><a name="59"></a>59</td><td></td><td></td><td></td><td></td><td class="s"> my $px = $self->find( $x );</td></tr>
+<tr><td class="h"><a name="60"></a>60</td><td></td><td></td><td></td><td></td><td class="s"> my $py = $self->find( $y );</td></tr>
+<tr><td class="h"><a name="61"></a>61</td><td></td><td></td><td></td><td></td><td class="s"> return if $px eq $py;</td></tr>
+<tr><td class="h"><a name="62"></a>62</td><td></td><td></td><td></td><td></td><td class="s"> my $rx = $self->_rank( $px );</td></tr>
+<tr><td class="h"><a name="63"></a>63</td><td></td><td></td><td></td><td></td><td class="s"> my $ry = $self->_rank( $py );</td></tr>
+<tr><td class="h"><a name="64"></a>64</td><td></td><td></td><td></td><td></td><td class="s"> # print "union($x, $y): px = $px, py = $py, rx = $rx, ry = $ry\n";</td></tr>
+<tr><td class="h"><a name="65"></a>65</td><td></td><td></td><td></td><td></td><td class="s"> if ( $rx > $ry ) {</td></tr>
+<tr><td class="h"><a name="66"></a>66</td><td></td><td></td><td></td><td></td><td class="s"> $self->_parent( $py, $px );</td></tr>
+<tr><td class="h"><a name="67"></a>67</td><td></td><td></td><td></td><td></td><td class="s"> } else {</td></tr>
+<tr><td class="h"><a name="68"></a>68</td><td></td><td></td><td></td><td></td><td class="s"> $self->_parent( $px, $py );</td></tr>
+<tr><td class="h"><a name="69"></a>69</td><td></td><td></td><td></td><td></td><td class="s"> $self->_rank( $py, $ry + 1 ) if $rx == $ry;</td></tr>
+<tr><td class="h"><a name="70"></a>70</td><td></td><td></td><td></td><td></td><td class="s"> }</td></tr>
+<tr><td class="h"><a name="71"></a>71</td><td></td><td></td><td></td><td></td><td class="s">}</td></tr>
+<tr><td class="h"><a name="72"></a>72</td><td></td><td></td><td></td><td></td><td class="s"></td></tr>
+<tr><td class="h"><a name="73"></a>73</td><td></td><td></td><td></td><td></td><td class="s">sub same {</td></tr>
+<tr><td class="h"><a name="74"></a>74</td><td></td><td></td><td></td><td></td><td class="s"> my ($uf, $u, $v) = @_;</td></tr>
+<tr><td class="h"><a name="75"></a>75</td><td></td><td></td><td></td><td></td><td class="s"> my $fu = $uf->find($u);</td></tr>
+<tr><td class="h"><a name="76"></a>76</td><td></td><td></td><td></td><td></td><td class="s"> return undef unless defined $fu;</td></tr>
+<tr><td class="h"><a name="77"></a>77</td><td></td><td></td><td></td><td></td><td class="s"> my $fv = $uf->find($v);</td></tr>
+<tr><td class="h"><a name="78"></a>78</td><td></td><td></td><td></td><td></td><td class="s"> return undef unless defined $fv;</td></tr>
+<tr><td class="h"><a name="79"></a>79</td><td></td><td></td><td></td><td></td><td class="s"> $fu eq $fv;</td></tr>
+<tr><td class="h"><a name="80"></a>80</td><td></td><td></td><td></td><td></td><td class="s">}</td></tr>
+<tr><td class="h"><a name="81"></a>81</td><td></td><td></td><td></td><td></td><td class="s"></td></tr>
+<tr><td class="h"><a name="82"></a>82</td><td class="c3">1</td><td class="c3"><span title="Avg 3µs">3µs</span></td><td></td><td></td><td class="s">1;</td></tr>
+<tr><td class="h"><a name="83"></a>83</td><td></td><td></td><td></td><td></td><td class="s">__END__</td></tr>
+</tbody></table></div>
+
+ <script type="text/javascript"> $(document).ready(function() {
+
+ $("#subs_table").tablesorter({
+ sortList: [[3,1]],
+ headers: {
+ 3: { sorter: 'fmt_time' },
+ 4: { sorter: 'fmt_time' }
+ }
+ });
+
+ } ); </script>
+
+ <div class="footer">Report produced by the
+ <a href="http://search.cpan.org/dist/Devel-NYTProf/">NYTProf 4.06</a>
+ Perl profiler, developed by
+ <a href="http://www.linkedin.com/in/timbunce">Tim Bunce</a> and
+ <a href="http://code.nytimes.com">Adam Kaplan</a>.
+ </div>
+ <br /><br /><br /><br /><br /><br /><br /><br /><br /><br />
+ </body></html>
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