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 The TREE Procedure

## Example 66.2: Iris Data

Fisher's (1936) iris data gives sepal and petal dimensions for three different species of iris. The data are clustered by kth-nearest-neighbor density linkage 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 Output 66.2.1 and Output 66.2.2.

```   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
;
proc cluster data=iris method=twostage print=10
outtree=tree k=8 noeigen;
var SepalLength SepalWidth PetalLength PetalWidth;
copy Species;
id Species;
run;

options pagesize=60 linesize=110;

proc tree data=tree horizontal lineprinter pages=1 maxh=10;
id species;
run;
```

The PAGES=1 option specifies that the tree diagram extends 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 66.2.2.

Output 66.2.1: 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 NormalizedFusion Density Maximum Densityin Each Cluster Tie Clusters Joined Lesser Greater 10 CL11 Versicolor 48 0.2879 0.1479 8.3678 9 CL13 Virginica 46 0.2802 0.2005 3.5156 8 CL10 Virginica 49 0.2699 0.1372 8.3678 7 CL8 Versicolor 50 0.2586 0.1372 8.3678 6 CL9 Virginica 47 0.1412 0.0832 3.5156 5 CL6 Virginica 48 0.107 0.0605 3.5156 4 CL5 Virginica 49 0.0969 0.0541 3.5156 3 CL4 Virginica 50 0.0715 0.0370 3.5156 2 CL3 CL7 100 2.6277 3.5156 8.3678

 3 modal clusters have been formed.

Output 66.2.2: Horizontal Tree for Fisher's Iris Data

 ``` 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 XXXX....................................................................................... e XXXX s Virginica XXXX....................................................................................... XXXX Virginica XXXXXX..................................................................................... XXXXXX Versicolor XXXXXXX.................................................................................... XXXXXXX Virginica XXXXXXXX................................................................................... XXXXXXXX Virginica XXXXXXXXX.................................................................................. XXXXXXXXX Virginica XXXXXXXXXXXXXXX............................................................................ XXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXX........................................................................... XXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXX......................................................................... XXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXXX....................................................................... XXXXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXXXX...................................................................... XXXXXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXXXXX..................................................................... XXXXXXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXXXXX..................................................................... XXXXXXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXXXXX..................................................................... XXXXXXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXXXXXX.................................................................... XXXXXXXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXXXXXX.................................................................... XXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXX................................................................ XXXXXXXXXXXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXXXXXXXXXX................................................................ XXXXXXXXXXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXXXXXXXXX................................................................. XXXXXXXXXXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXXXXXXXXX................................................................. XXXXXXXXXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXXXXXXXXXXX............................................................... XXXXXXXXXXXXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX............................................................ XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX............................................................ XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX............................................................ XXXXXXXXXXXXXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXXXXXXXXXXXX.............................................................. XXXXXXXXXXXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXXXXXXXXXX................................................................ XXXXXXXXXXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXXXXXXXXX................................................................. XXXXXXXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXXXXXX.................................................................... XXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXX..................................................................... XXXXXXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXXXXX..................................................................... XXXXXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXXXX...................................................................... XXXXXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXXXX...................................................................... XXXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXX........................................................................ XXXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXX........................................................................ XXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXX......................................................................... XXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXX........................................................................... XXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXX........................................................................... XXXXXXXXXXX Virginica XXXXXXXXXXX................................................................................ XXXXXXXXXXX Virginica XXXXXXXXXXX................................................................................ XXXXXXXXX Virginica XXXXXXXXX.................................................................................. XXXXXXXX Virginica XXXXXXXX................................................................................... XXXXXX Virginica XXXXXX..................................................................................... XXXXXX Virginica XXXXXX..................................................................................... XXXXXX Virginica XXXXXX..................................................................................... XXXXXX Virginica XXXXXX..................................................................................... XXXXX Virginica XXXXX...................................................................................... XX Virginica XX......................................................................................... XX Virginica XX......................................................................................... X Virginica XXX........................................................................................ XXX Versicolor XXXX....................................................................................... XXXX Versicolor XXXXXXXXXXX................................................................................ XXXXXXXXXXX Versicolor XXXXXXXXXXXXX.............................................................................. XXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXX............................................................................ XXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXX........................................................................... XXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXX.......................................................................... XXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXX......................................................................... XXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXX....................................................................... XXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXX..................................................................... XXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXX.................................................................. XXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXX.................................................................. XXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXX.................................................................. XXXXXXXXXXXXXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXXXXXXXXXXXXXX................................................................. XXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXX.............................................................. XXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX............................................................. XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX........................................................... XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX.............................................. XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX............................................. XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX......................................... XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX..................................... XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX..................................... XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX.............................. XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX................... XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX................... XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX..................................... XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX......................................... XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX............................................... XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX.......................................................... XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX............................................................ XXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXX.............................................................. XXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXX................................................................. XXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXX................................................................. XXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX........................................................... XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX........................................................ XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX...................................................... XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX...................................................... XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX........................................................ XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX........................................................... XXXXXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXXXXX.................................................................... XXXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXXX....................................................................... XXXXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXXXX........................................................................ XXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXX.......................................................................... XXXXXXXXXXXXXXXXX Versicolor XXXXXXXXXXXXXXXXX.......................................................................... XXXXXXXXXXXXXX Virginica XXXXXXXXXXXXXX............................................................................. XXXXXXXXXXXXX Versicolor XXXXXXXXXXXXX.............................................................................. XXXXXXXXXX Versicolor XXXXXXXXXX................................................................................. XXXX Versicolor XXXX....................................................................................... XXXX Versicolor XXXX....................................................................................... XXX Versicolor XXX........................................................................................ Setosa XXXXXXXXXXXXXXXX........................................................................... XXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXX................................................................. XXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX............................................................ XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX............................................... XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX............................................... XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX........................................... XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX.......................................... XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX................................... XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX. XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX.. XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX.......................................... XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX............................................ XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX............................................ XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX........................................................ XXXXXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXXXXX..................................................................... XXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXX........................................................................ XXXXXXXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXXXXXXX........................................................................ XXXXXXXXXXXXXX Setosa XXXXXXXXXXXXXX............................................................................. XXXXXXXXX Setosa XXXXXXXXX.................................................................................. XXXXX Setosa XXXXX...................................................................................... XXXX Setosa XXXX....................................................................................... ```

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