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The TREE Procedure

Example 91.2 Iris Data

Fisher (1936)’s iris data give sepal and petal dimensions for three different species of iris. The data are clustered by th-nearest-neighbor density linkage by using the CLUSTER procedure with K=8. Observations are identified by species (Setosa, Versicolor, or Virginica) in the tree diagram, which is oriented with the height axis horizontal. The following statements produce the results shown in Output 91.2.1 and Output 91.2.2:


   proc format;
      value specname
         1='Setosa    '
         2='Versicolor'
         3='Virginica ';
   run;
   
   data iris;
      title 'Fisher (1936) Iris Data';
      input SepalLength SepalWidth PetalLength PetalWidth 
            Species @@;
      format Species specname.;
      label SepalLength='Sepal Length in mm.'
            SepalWidth ='Sepal Width in mm.'
            PetalLength='Petal Length in mm.'
            PetalWidth ='Petal Width in mm.';
      symbol = put(species, specname10.);
      datalines;
   50 33 14 02 1 64 28 56 22 3 65 28 46 15 2 67 31 56 24 3
   63 28 51 15 3 46 34 14 03 1 69 31 51 23 3 62 22 45 15 2
   59 32 48 18 2 46 36 10 02 1 61 30 46 14 2 60 27 51 16 2
   65 30 52 20 3 56 25 39 11 2 65 30 55 18 3 58 27 51 19 3
   68 32 59 23 3 51 33 17 05 1 57 28 45 13 2 62 34 54 23 3
   77 38 67 22 3 63 33 47 16 2 67 33 57 25 3 76 30 66 21 3
   49 25 45 17 3 55 35 13 02 1 67 30 52 23 3 70 32 47 14 2
   64 32 45 15 2 61 28 40 13 2 48 31 16 02 1 59 30 51 18 3
   55 24 38 11 2 63 25 50 19 3 64 32 53 23 3 52 34 14 02 1
   49 36 14 01 1 54 30 45 15 2 79 38 64 20 3 44 32 13 02 1
   67 33 57 21 3 50 35 16 06 1 58 26 40 12 2 44 30 13 02 1
   77 28 67 20 3 63 27 49 18 3 47 32 16 02 1 55 26 44 12 2
   50 23 33 10 2 72 32 60 18 3 48 30 14 03 1 51 38 16 02 1
   61 30 49 18 3 48 34 19 02 1 50 30 16 02 1 50 32 12 02 1
   61 26 56 14 3 64 28 56 21 3 43 30 11 01 1 58 40 12 02 1
   51 38 19 04 1 67 31 44 14 2 62 28 48 18 3 49 30 14 02 1
   51 35 14 02 1 56 30 45 15 2 58 27 41 10 2 50 34 16 04 1
   46 32 14 02 1 60 29 45 15 2 57 26 35 10 2 57 44 15 04 1
   50 36 14 02 1 77 30 61 23 3 63 34 56 24 3 58 27 51 19 3
   57 29 42 13 2 72 30 58 16 3 54 34 15 04 1 52 41 15 01 1
   71 30 59 21 3 64 31 55 18 3 60 30 48 18 3 63 29 56 18 3
   49 24 33 10 2 56 27 42 13 2 57 30 42 12 2 55 42 14 02 1
   49 31 15 02 1 77 26 69 23 3 60 22 50 15 3 54 39 17 04 1
   66 29 46 13 2 52 27 39 14 2 60 34 45 16 2 50 34 15 02 1
   44 29 14 02 1 50 20 35 10 2 55 24 37 10 2 58 27 39 12 2
   47 32 13 02 1 46 31 15 02 1 69 32 57 23 3 62 29 43 13 2
   74 28 61 19 3 59 30 42 15 2 51 34 15 02 1 50 35 13 03 1
   56 28 49 20 3 60 22 40 10 2 73 29 63 18 3 67 25 58 18 3
   49 31 15 01 1 67 31 47 15 2 63 23 44 13 2 54 37 15 02 1
   56 30 41 13 2 63 25 49 15 2 61 28 47 12 2 64 29 43 13 2
   51 25 30 11 2 57 28 41 13 2 65 30 58 22 3 69 31 54 21 3
   54 39 13 04 1 51 35 14 03 1 72 36 61 25 3 65 32 51 20 3
   61 29 47 14 2 56 29 36 13 2 69 31 49 15 2 64 27 53 19 3
   68 30 55 21 3 55 25 40 13 2 48 34 16 02 1 48 30 14 01 1
   45 23 13 03 1 57 25 50 20 3 57 38 17 03 1 51 38 15 03 1
   55 23 40 13 2 66 30 44 14 2 68 28 48 14 2 54 34 17 02 1
   51 37 15 04 1 52 35 15 02 1 58 28 51 24 3 67 30 50 17 2
   63 33 60 25 3 53 37 15 02 1
   ;
   title 'Fisher (1936) Iris Data';
   proc cluster data=iris method=twostage print=10 
                outtree=tree k=8 noeigen;
      var SepalLength SepalWidth PetalLength PetalWidth;
      copy Species;
   run;
   proc tree data=tree horizontal lineprinter pages=1 maxh=10;
      id species;
   run;

The PAGES=1 option specifies that the tree diagram extend over one page from tree to root. Since the HORIZONTAL option is also specified, the horizontal extent of the diagram is one page. The number of vertical pages required for the diagram is dictated by the number of leaves in the tree.

The MAXH=10 limits the values displayed on the height axis to a maximum of 10. This prunes the tree diagram so that only the portion from the leaves to level 10 is displayed. You can see this pruning effect in Output 91.2.2.

Output 91.2.1 Clustering of Fisher’s Iris Data
Fisher (1936) Iris Data

The CLUSTER Procedure
Two-Stage Density Linkage Clustering


K = 8

Root-Mean-Square Total-Sample Standard Deviation 10.69224

Cluster History
NCL   FREQ Normalized
Fusion Density
Maximum Density
in Each Cluster
T
i
e
Clusters Joined Lesser Greater
10 CL11 OB98 49 0.2879 0.1479 8.3678  
9 CL13 OB24 45 0.2802 0.2005 3.5156  
8 CL10 OB25 50 0.2699 0.1372 8.3678  
7 CL8 OB121 51 0.2586 0.1372 8.3678  
6 CL9 OB45 46 0.1412 0.0832 3.5156  
5 CL6 OB39 47 0.107 0.0605 3.5156  
4 CL5 OB21 48 0.0969 0.0541 3.5156  
3 CL4 OB90 49 0.0715 0.0370 3.5156  
2 CL7 CL3 100 2.6277 3.5156 8.3678  


3 modal clusters have been formed.

Output 91.2.2 Horizontal Tree for Fisher’s Iris Data
Fisher (1936) Iris Data

The TREE Procedure
Two-Stage Density Linkage Clustering

                                   Cluster Fusion Density                       
                                                                                
                0     1     2     3     4     5     6     7     8     9    10   
                +-----+-----+-----+-----+-----+-----+-----+-----+-----+-----+   
  S   Virginica XX...........................................................   
  p             XX                                                              
  e   Virginica XX...........................................................   
  c             XX                                                              
  i   Virginica XXX..........................................................   
  e             XXX                                                             
  s   Virginica XXX..........................................................   
                XXX                                                             
      Virginica XXXX.........................................................   
                XXXX                                                            
      Virginica XXXXX........................................................   
                XXXXX                                                           
      Virginica XXXXXX.......................................................   
                XXXXXX                                                          
      Virginica XXXXXX.......................................................   
                XXXXXX                                                          
      Virginica XXXXXXXXXX...................................................   
                XXXXXXXXXX                                                      
      Virginica XXXXXXXXXXX..................................................   
                XXXXXXXXXXX                                                     
      Virginica XXXXXXXXXXX..................................................   
                XXXXXXXXXXX                                                     
      Virginica XXXXXXXXXXXX.................................................   
                XXXXXXXXXXXX                                                    
      Virginica XXXXXXXXXXXXXX...............................................   
                XXXXXXXXXXXXXX                                                  
      Virginica XXXXXXXXXXXXXX...............................................   
                XXXXXXXXXXXXXX                                                  
      Virginica XXXXXXXXXXXXXXX..............................................   
                XXXXXXXXXXXXXXX                                                 
      Virginica XXXXXXXXXXXXXXX..............................................   
                XXXXXXXXXXXXXXX                                                 
      Virginica XXXXXXXXXXXXXXX..............................................   
                XXXXXXXXXXXXXXX                                                 
      Virginica XXXXXXXXXXXXXXXX.............................................   
                XXXXXXXXXXXXXXXX                                                
      Virginica XXXXXXXXXXXXXXXX.............................................   
                XXXXXXXXXXXXXXXX                                                
     Versicolor XXXXXXXXXXXXXXXXXXX..........................................   
                XXXXXXXXXXXXXXXXXXX                                             
      Virginica XXXXXXXXXXXXXXXXXXX..........................................   
                XXXXXXXXXXXXXXXXXX                                              
      Virginica XXXXXXXXXXXXXXXXXX...........................................   
                XXXXXXXXXXXXXXXXXX                                              
      Virginica XXXXXXXXXXXXXXXXXX...........................................   
                XXXXXXXXXXXXXXXXX                                               
      Virginica XXXXXXXXXXXXXXXXXXX..........................................   
                XXXXXXXXXXXXXXXXXXX                                             
      Virginica XXXXXXXXXXXXXXXXXXXXX........................................   
                XXXXXXXXXXXXXXXXXXXXX                                           
      Virginica XXXXXXXXXXXXXXXXXXXXX........................................   
                XXXXXXXXXXXXXXXXXXXXX                                           
      Virginica XXXXXXXXXXXXXXXXXXXXX........................................   
                XXXXXXXXXXXXXXXXXXXX                                            
      Virginica XXXXXXXXXXXXXXXXXXXX.........................................   
                XXXXXXXXXXXXXXXXXXX                                             
      Virginica XXXXXXXXXXXXXXXXXXX..........................................   
                XXXXXXXXXXXXXXXXXX                                              
      Virginica XXXXXXXXXXXXXXXXXX...........................................   
                XXXXXXXXXXXXXXXX                                                
      Virginica XXXXXXXXXXXXXXXX.............................................   
                XXXXXXXXXXXXXXX                                                 
     Versicolor XXXXXXXXXXXXXXX..............................................   
                XXXXXXXXXXXXXXX                                                 
      Virginica XXXXXXXXXXXXXXX..............................................   
                XXXXXXXXXXXXXX                                                  
      Virginica XXXXXXXXXXXXXX...............................................   
                XXXXXXXXXXXXXX                                                  
      Virginica XXXXXXXXXXXXXX...............................................   
                XXXXXXXXXXXXX                                                   
      Virginica XXXXXXXXXXXXX................................................   
                XXXXXXXXXXXXX                                                   
      Virginica XXXXXXXXXXXXX................................................   
                XXXXXXXXXXXX                                                    
      Virginica XXXXXXXXXXXX.................................................   
                XXXXXXXXXXX                                                     
      Virginica XXXXXXXXXXX..................................................   
                XXXXXXXX                                                        
      Virginica XXXXXXXX.....................................................   
                XXXXXXXX                                                        
      Virginica XXXXXXXX.....................................................   
                XXXXXX                                                          
      Virginica XXXXXX.......................................................   
                XXXXXX                                                          
      Virginica XXXXXX.......................................................   
                XXXXX                                                           
      Virginica XXXXX........................................................   
                XXXX                                                            
      Virginica XXXX.........................................................   
                XXXX                                                            
      Virginica XXXX.........................................................   
                XXX                                                             
      Virginica XXX..........................................................   
                XX                                                              
      Virginica XX...........................................................   
                X                                                               
      Virginica X............................................................   
                X                                                               
      Virginica XXX..........................................................   
                XXX                                                             
     Versicolor XXXXX........................................................   
                XXXXX                                                           
     Versicolor XXXXXXXX.....................................................   
                XXXXXXXX                                                        
     Versicolor XXXXXXXXX....................................................   
                XXXXXXXXX                                                       
     Versicolor XXXXXXXXXXX..................................................   
                XXXXXXXXXXX                                                     
     Versicolor XXXXXXXXXXX..................................................   
                XXXXXXXXXXX                                                     
     Versicolor XXXXXXXXXXXX.................................................   
                XXXXXXXXXXXX                                                    
     Versicolor XXXXXXXXXXXXX................................................   
                XXXXXXXXXXXXX                                                   
     Versicolor XXXXXXXXXXXXXX...............................................   
                XXXXXXXXXXXXXX                                                  
     Versicolor XXXXXXXXXXXXXXX..............................................   
                XXXXXXXXXXXXXXX                                                 
     Versicolor XXXXXXXXXXXXXXXXX............................................   
                XXXXXXXXXXXXXXXXX                                               
     Versicolor XXXXXXXXXXXXXXXXX............................................   
                XXXXXXXXXXXXXXXXX                                               
     Versicolor XXXXXXXXXXXXXXXXX............................................   
                XXXXXXXXXXXXXXXXX                                               
      Virginica XXXXXXXXXXXXXXXXXX...........................................   
                XXXXXXXXXXXXXXXXXX                                              
     Versicolor XXXXXXXXXXXXXXXXXXXX.........................................   
                XXXXXXXXXXXXXXXXXXXX                                            
     Versicolor XXXXXXXXXXXXXXXXXXXX.........................................   
                XXXXXXXXXXXXXXXXXXXX                                            
     Versicolor XXXXXXXXXXXXXXXXXXXXXX.......................................   
                XXXXXXXXXXXXXXXXXXXXXX                                          
     Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX..............................   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                 
     Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX..............................   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                 
     Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX............................   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                               
     Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX.........................   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                            
     Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX........................   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                           
     Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX....................   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                       
     Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX.............   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                
     Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX.............   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                            
     Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX.........................   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                               
     Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX............................   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                  
     Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX...............................   
                XXXXXXXXXXXXXXXXXXXXXX                                          
     Versicolor XXXXXXXXXXXXXXXXXXXXXX.......................................   
                XXXXXXXXXXXXXXXXXXXXX                                           
     Versicolor XXXXXXXXXXXXXXXXXXXXX........................................   
                XXXXXXXXXXXXXXXXXXXX                                            
     Versicolor XXXXXXXXXXXXXXXXXXXX.........................................   
                XXXXXXXXXXXXXXXXXX                                              
     Versicolor XXXXXXXXXXXXXXXXXX...........................................   
                XXXXXXXXXXXXXXXXX                                               
     Versicolor XXXXXXXXXXXXXXXXXX...........................................   
                XXXXXXXXXXXXXXXXXX                                              
     Versicolor XXXXXXXXXXXXXXXXXXXXXX.......................................   
                XXXXXXXXXXXXXXXXXXXXXX                                          
     Versicolor XXXXXXXXXXXXXXXXXXXXXXX......................................   
                XXXXXXXXXXXXXXXXXXXXXXX                                         
     Versicolor XXXXXXXXXXXXXXXXXXXXXXXXX....................................   
                XXXXXXXXXXXXXXXXXXXXXXXXX                                       
     Versicolor XXXXXXXXXXXXXXXXXXXXXXXXX....................................   
                XXXXXXXXXXXXXXXXXXXXXXX                                         
     Versicolor XXXXXXXXXXXXXXXXXXXXXXX......................................   
                XXXXXXXXXXXXXXXXXXXXXX                                          
     Versicolor XXXXXXXXXXXXXXXXXXXXXX.......................................   
                XXXXXXXXXXXXXXXX                                                
     Versicolor XXXXXXXXXXXXXXXX.............................................   
                XXXXXXXXXXXXXX                                                  
     Versicolor XXXXXXXXXXXXXX...............................................   
                XXXXXXXXXXXXX                                                   
     Versicolor XXXXXXXXXXXXX................................................   
                XXXXXXXXXXXX                                                    
     Versicolor XXXXXXXXXXXX.................................................   
                XXXXXXXXXXXX                                                    
     Versicolor XXXXXXXXXXXX.................................................   
                XXXXXXXXXX                                                      
      Virginica XXXXXXXXXX...................................................   
                XXXXXXXXX                                                       
     Versicolor XXXXXXXXX....................................................   
                XXXXXXX                                                         
     Versicolor XXXXXXX......................................................   
                XXX                                                             
     Versicolor XXX..........................................................   
                XXX                                                             
     Versicolor XXX..........................................................   
                XXX                                                             
     Versicolor XXX..........................................................   
                XXX                                                             
     Versicolor XXX..........................................................   
                                                                                
         Setosa XXXXXXXXXXX..................................................   
                XXXXXXXXXXX                                                     
         Setosa XXXXXXXXXXXXXXXXXX...........................................   
                XXXXXXXXXXXXXXXXXX                                              
         Setosa XXXXXXXXXXXXXXXXXXXXX........................................   
                XXXXXXXXXXXXXXXXXXXXX                                           
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX...............................   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                  
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX..............................   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                 
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX.............................   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX............................   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                               
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX........................   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                           
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX.   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX    
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX     
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX..   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                               
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX............................   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                 
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX..............................   
                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                  
         Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX...............................   
                XXXXXXXXXXXXXXXXXXXXXXXX                                        
         Setosa XXXXXXXXXXXXXXXXXXXXXXXX.....................................   
                XXXXXXXXXXXXXXX                                                 
         Setosa XXXXXXXXXXXXXXX..............................................   
                XXXXXXXXXXXXX                                                   
         Setosa XXXXXXXXXXXXX................................................   
                XXXXXXXXXXXXX                                                   
         Setosa XXXXXXXXXXXXX................................................   
                XXXXXXXXXX                                                      
         Setosa XXXXXXXXXX...................................................   
                XXXXXXX                                                         
         Setosa XXXXXXX......................................................   
                XXXX                                                            
         Setosa XXXX.........................................................   
                XXX                                                             
         Setosa XXX..........................................................   

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