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< EDA Breast Cancer | Contents | EDA Iris >

EDA: Digits

In [1]:
%reload_ext autoreload
%autoreload 2
In [3]:
from sklearn.datasets import load_digits
from sklearn.decomposition import FastICA
from sklearn.decomposition import PCA
from sklearn.preprocessing import StandardScaler
from sklearn.pipeline import Pipeline

from helpers.base_imports import *

Create new EDA

In [4]:
eda = EDA(name="digits")
eda
Loading 'edas.csv'
Creating experiment: 'digits'
Out[4]:
EDA: digits
Columns: Index(['description', 'n features', 'n samples', 'f/n ratio', 'noise', 'stats',
       'class balance', 'outliers', 'skewness', 'correlations',
       'DR potential'],
      dtype='object')
Datasets: Index([], dtype='object', name='dataset')

Get raw dataset from remote source

In [5]:
# fetch dataset
data = load_digits(as_frame=True)
data.frame.head(5)
Out[5]:
pixel_0_0 pixel_0_1 pixel_0_2 pixel_0_3 pixel_0_4 pixel_0_5 pixel_0_6 pixel_0_7 pixel_1_0 pixel_1_1 ... pixel_6_7 pixel_7_0 pixel_7_1 pixel_7_2 pixel_7_3 pixel_7_4 pixel_7_5 pixel_7_6 pixel_7_7 target
0 0.0 0.0 5.0 13.0 9.0 1.0 0.0 0.0 0.0 0.0 ... 0.0 0.0 0.0 6.0 13.0 10.0 0.0 0.0 0.0 0
1 0.0 0.0 0.0 12.0 13.0 5.0 0.0 0.0 0.0 0.0 ... 0.0 0.0 0.0 0.0 11.0 16.0 10.0 0.0 0.0 1
2 0.0 0.0 0.0 4.0 15.0 12.0 0.0 0.0 0.0 0.0 ... 0.0 0.0 0.0 0.0 3.0 11.0 16.0 9.0 0.0 2
3 0.0 0.0 7.0 15.0 13.0 1.0 0.0 0.0 0.0 8.0 ... 0.0 0.0 0.0 7.0 13.0 13.0 9.0 0.0 0.0 3
4 0.0 0.0 0.0 1.0 11.0 0.0 0.0 0.0 0.0 0.0 ... 0.0 0.0 0.0 0.0 2.0 16.0 4.0 0.0 0.0 4

5 rows × 65 columns

In [6]:
list(data.target_names)
Out[6]:
[np.int64(0),
 np.int64(1),
 np.int64(2),
 np.int64(3),
 np.int64(4),
 np.int64(5),
 np.int64(6),
 np.int64(7),
 np.int64(8),
 np.int64(9)]
In [7]:
disp_df(data.frame)
pixel_0_0 pixel_0_1 pixel_0_2 pixel_0_3 pixel_0_4 pixel_0_5 pixel_0_6 pixel_0_7 pixel_1_0 pixel_1_1 pixel_1_2 pixel_1_3 pixel_1_4 pixel_1_5 pixel_1_6 pixel_1_7 pixel_2_0 pixel_2_1 pixel_2_2 pixel_2_3 pixel_2_4 pixel_2_5 pixel_2_6 pixel_2_7 pixel_3_0 pixel_3_1 pixel_3_2 pixel_3_3 pixel_3_4 pixel_3_5 pixel_3_6 pixel_3_7 pixel_4_0 pixel_4_1 pixel_4_2 pixel_4_3 pixel_4_4 pixel_4_5 pixel_4_6 pixel_4_7 pixel_5_0 pixel_5_1 pixel_5_2 pixel_5_3 pixel_5_4 pixel_5_5 pixel_5_6 pixel_5_7 pixel_6_0 pixel_6_1 pixel_6_2 pixel_6_3 pixel_6_4 pixel_6_5 pixel_6_6 pixel_6_7 pixel_7_0 pixel_7_1 pixel_7_2 pixel_7_3 pixel_7_4 pixel_7_5 pixel_7_6 pixel_7_7 target
0 0.0 0.0 5.0 13.0 9.0 1.0 0.0 0.0 0.0 0.0 13.0 15.0 10.0 15.0 5.0 0.0 0.0 3.0 15.0 2.0 0.0 11.0 8.0 0.0 0.0 4.0 12.0 0.0 0.0 8.0 8.0 0.0 0.0 5.0 8.0 0.0 0.0 9.0 8.0 0.0 0.0 4.0 11.0 0.0 1.0 12.0 7.0 0.0 0.0 2.0 14.0 5.0 10.0 12.0 0.0 0.0 0.0 0.0 6.0 13.0 10.0 0.0 0.0 0.0 0
1 0.0 0.0 0.0 12.0 13.0 5.0 0.0 0.0 0.0 0.0 0.0 11.0 16.0 9.0 0.0 0.0 0.0 0.0 3.0 15.0 16.0 6.0 0.0 0.0 0.0 7.0 15.0 16.0 16.0 2.0 0.0 0.0 0.0 0.0 1.0 16.0 16.0 3.0 0.0 0.0 0.0 0.0 1.0 16.0 16.0 6.0 0.0 0.0 0.0 0.0 1.0 16.0 16.0 6.0 0.0 0.0 0.0 0.0 0.0 11.0 16.0 10.0 0.0 0.0 1
2 0.0 0.0 0.0 4.0 15.0 12.0 0.0 0.0 0.0 0.0 3.0 16.0 15.0 14.0 0.0 0.0 0.0 0.0 8.0 13.0 8.0 16.0 0.0 0.0 0.0 0.0 1.0 6.0 15.0 11.0 0.0 0.0 0.0 1.0 8.0 13.0 15.0 1.0 0.0 0.0 0.0 9.0 16.0 16.0 5.0 0.0 0.0 0.0 0.0 3.0 13.0 16.0 16.0 11.0 5.0 0.0 0.0 0.0 0.0 3.0 11.0 16.0 9.0 0.0 2
3 0.0 0.0 7.0 15.0 13.0 1.0 0.0 0.0 0.0 8.0 13.0 6.0 15.0 4.0 0.0 0.0 0.0 2.0 1.0 13.0 13.0 0.0 0.0 0.0 0.0 0.0 2.0 15.0 11.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 12.0 12.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 10.0 8.0 0.0 0.0 0.0 8.0 4.0 5.0 14.0 9.0 0.0 0.0 0.0 7.0 13.0 13.0 9.0 0.0 0.0 3
4 0.0 0.0 0.0 1.0 11.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 8.0 0.0 0.0 0.0 0.0 0.0 1.0 13.0 6.0 2.0 2.0 0.0 0.0 0.0 7.0 15.0 0.0 9.0 8.0 0.0 0.0 5.0 16.0 10.0 0.0 16.0 6.0 0.0 0.0 4.0 15.0 16.0 13.0 16.0 1.0 0.0 0.0 0.0 0.0 3.0 15.0 10.0 0.0 0.0 0.0 0.0 0.0 2.0 16.0 4.0 0.0 0.0 4
5 0.0 0.0 12.0 10.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 16.0 16.0 14.0 0.0 0.0 0.0 0.0 13.0 16.0 15.0 10.0 1.0 0.0 0.0 0.0 11.0 16.0 16.0 7.0 0.0 0.0 0.0 0.0 0.0 4.0 7.0 16.0 7.0 0.0 0.0 0.0 0.0 0.0 4.0 16.0 9.0 0.0 0.0 0.0 5.0 4.0 12.0 16.0 4.0 0.0 0.0 0.0 9.0 16.0 16.0 10.0 0.0 0.0 5
6 0.0 0.0 0.0 12.0 13.0 0.0 0.0 0.0 0.0 0.0 5.0 16.0 8.0 0.0 0.0 0.0 0.0 0.0 13.0 16.0 3.0 0.0 0.0 0.0 0.0 0.0 14.0 13.0 0.0 0.0 0.0 0.0 0.0 0.0 15.0 12.0 7.0 2.0 0.0 0.0 0.0 0.0 13.0 16.0 13.0 16.0 3.0 0.0 0.0 0.0 7.0 16.0 11.0 15.0 8.0 0.0 0.0 0.0 1.0 9.0 15.0 11.0 3.0 0.0 6
7 0.0 0.0 7.0 8.0 13.0 16.0 15.0 1.0 0.0 0.0 7.0 7.0 4.0 11.0 12.0 0.0 0.0 0.0 0.0 0.0 8.0 13.0 1.0 0.0 0.0 4.0 8.0 8.0 15.0 15.0 6.0 0.0 0.0 2.0 11.0 15.0 15.0 4.0 0.0 0.0 0.0 0.0 0.0 16.0 5.0 0.0 0.0 0.0 0.0 0.0 9.0 15.0 1.0 0.0 0.0 0.0 0.0 0.0 13.0 5.0 0.0 0.0 0.0 0.0 7
8 0.0 0.0 9.0 14.0 8.0 1.0 0.0 0.0 0.0 0.0 12.0 14.0 14.0 12.0 0.0 0.0 0.0 0.0 9.0 10.0 0.0 15.0 4.0 0.0 0.0 0.0 3.0 16.0 12.0 14.0 2.0 0.0 0.0 0.0 4.0 16.0 16.0 2.0 0.0 0.0 0.0 3.0 16.0 8.0 10.0 13.0 2.0 0.0 0.0 1.0 15.0 1.0 3.0 16.0 8.0 0.0 0.0 0.0 11.0 16.0 15.0 11.0 1.0 0.0 8
9 0.0 0.0 11.0 12.0 0.0 0.0 0.0 0.0 0.0 2.0 16.0 16.0 16.0 13.0 0.0 0.0 0.0 3.0 16.0 12.0 10.0 14.0 0.0 0.0 0.0 1.0 16.0 1.0 12.0 15.0 0.0 0.0 0.0 0.0 13.0 16.0 9.0 15.0 2.0 0.0 0.0 0.0 0.0 3.0 0.0 9.0 11.0 0.0 0.0 0.0 0.0 0.0 9.0 15.0 4.0 0.0 0.0 0.0 9.0 12.0 13.0 3.0 0.0 0.0 9
10 0.0 0.0 1.0 9.0 15.0 11.0 0.0 0.0 0.0 0.0 11.0 16.0 8.0 14.0 6.0 0.0 0.0 2.0 16.0 10.0 0.0 9.0 9.0 0.0 0.0 1.0 16.0 4.0 0.0 8.0 8.0 0.0 0.0 4.0 16.0 4.0 0.0 8.0 8.0 0.0 0.0 1.0 16.0 5.0 1.0 11.0 3.0 0.0 0.0 0.0 12.0 12.0 10.0 10.0 0.0 0.0 0.0 0.0 1.0 10.0 13.0 3.0 0.0 0.0 0
11 0.0 0.0 0.0 0.0 14.0 13.0 1.0 0.0 0.0 0.0 0.0 5.0 16.0 16.0 2.0 0.0 0.0 0.0 0.0 14.0 16.0 12.0 0.0 0.0 0.0 1.0 10.0 16.0 16.0 12.0 0.0 0.0 0.0 3.0 12.0 14.0 16.0 9.0 0.0 0.0 0.0 0.0 0.0 5.0 16.0 15.0 0.0 0.0 0.0 0.0 0.0 4.0 16.0 14.0 0.0 0.0 0.0 0.0 0.0 1.0 13.0 16.0 1.0 0.0 1
12 0.0 0.0 5.0 12.0 1.0 0.0 0.0 0.0 0.0 0.0 15.0 14.0 7.0 0.0 0.0 0.0 0.0 0.0 13.0 1.0 12.0 0.0 0.0 0.0 0.0 2.0 10.0 0.0 14.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 16.0 1.0 0.0 0.0 0.0 0.0 0.0 6.0 15.0 0.0 0.0 0.0 0.0 0.0 9.0 16.0 15.0 9.0 8.0 2.0 0.0 0.0 3.0 11.0 8.0 13.0 12.0 4.0 2
13 0.0 2.0 9.0 15.0 14.0 9.0 3.0 0.0 0.0 4.0 13.0 8.0 9.0 16.0 8.0 0.0 0.0 0.0 0.0 6.0 14.0 15.0 3.0 0.0 0.0 0.0 0.0 11.0 14.0 2.0 0.0 0.0 0.0 0.0 0.0 2.0 15.0 11.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 15.0 4.0 0.0 0.0 1.0 5.0 6.0 13.0 16.0 6.0 0.0 0.0 2.0 12.0 12.0 13.0 11.0 0.0 0.0 3
14 0.0 0.0 0.0 8.0 15.0 1.0 0.0 0.0 0.0 0.0 1.0 14.0 13.0 1.0 1.0 0.0 0.0 0.0 10.0 15.0 3.0 15.0 11.0 0.0 0.0 7.0 16.0 7.0 1.0 16.0 8.0 0.0 0.0 9.0 16.0 13.0 14.0 16.0 5.0 0.0 0.0 1.0 10.0 15.0 16.0 14.0 0.0 0.0 0.0 0.0 0.0 1.0 16.0 10.0 0.0 0.0 0.0 0.0 0.0 10.0 15.0 4.0 0.0 0.0 4
15 0.0 5.0 12.0 13.0 16.0 16.0 2.0 0.0 0.0 11.0 16.0 15.0 8.0 4.0 0.0 0.0 0.0 8.0 14.0 11.0 1.0 0.0 0.0 0.0 0.0 8.0 16.0 16.0 14.0 0.0 0.0 0.0 0.0 1.0 6.0 6.0 16.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 16.0 3.0 0.0 0.0 0.0 1.0 5.0 15.0 13.0 0.0 0.0 0.0 0.0 4.0 15.0 16.0 2.0 0.0 0.0 0.0 5
16 0.0 0.0 0.0 8.0 15.0 1.0 0.0 0.0 0.0 0.0 0.0 12.0 14.0 0.0 0.0 0.0 0.0 0.0 3.0 16.0 7.0 0.0 0.0 0.0 0.0 0.0 6.0 16.0 2.0 0.0 0.0 0.0 0.0 0.0 7.0 16.0 16.0 13.0 5.0 0.0 0.0 0.0 15.0 16.0 9.0 9.0 14.0 0.0 0.0 0.0 3.0 14.0 9.0 2.0 16.0 2.0 0.0 0.0 0.0 7.0 15.0 16.0 11.0 0.0 6
17 0.0 0.0 1.0 8.0 15.0 10.0 0.0 0.0 0.0 3.0 13.0 15.0 14.0 14.0 0.0 0.0 0.0 5.0 10.0 0.0 10.0 12.0 0.0 0.0 0.0 0.0 3.0 5.0 15.0 10.0 2.0 0.0 0.0 0.0 16.0 16.0 16.0 16.0 12.0 0.0 0.0 1.0 8.0 12.0 14.0 8.0 3.0 0.0 0.0 0.0 0.0 10.0 13.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 9.0 0.0 0.0 0.0 7
18 0.0 0.0 10.0 7.0 13.0 9.0 0.0 0.0 0.0 0.0 9.0 10.0 12.0 15.0 2.0 0.0 0.0 0.0 4.0 11.0 10.0 11.0 0.0 0.0 0.0 0.0 1.0 16.0 10.0 1.0 0.0 0.0 0.0 0.0 12.0 13.0 4.0 0.0 0.0 0.0 0.0 0.0 12.0 1.0 12.0 0.0 0.0 0.0 0.0 1.0 10.0 2.0 14.0 0.0 0.0 0.0 0.0 0.0 11.0 14.0 5.0 0.0 0.0 0.0 8
19 0.0 0.0 6.0 14.0 4.0 0.0 0.0 0.0 0.0 0.0 11.0 16.0 10.0 0.0 0.0 0.0 0.0 0.0 8.0 14.0 16.0 2.0 0.0 0.0 0.0 0.0 1.0 12.0 12.0 11.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 11.0 0.0 0.0 0.0 1.0 4.0 4.0 7.0 16.0 2.0 0.0 0.0 7.0 16.0 16.0 13.0 11.0 1.0 9
20 0.0 0.0 3.0 13.0 11.0 7.0 0.0 0.0 0.0 0.0 11.0 16.0 16.0 16.0 2.0 0.0 0.0 4.0 16.0 9.0 1.0 14.0 2.0 0.0 0.0 4.0 16.0 0.0 0.0 16.0 2.0 0.0 0.0 0.0 16.0 1.0 0.0 12.0 8.0 0.0 0.0 0.0 15.0 9.0 0.0 13.0 6.0 0.0 0.0 0.0 9.0 14.0 9.0 14.0 1.0 0.0 0.0 0.0 2.0 12.0 13.0 4.0 0.0 0.0 0
21 0.0 0.0 0.0 2.0 16.0 16.0 2.0 0.0 0.0 0.0 0.0 4.0 16.0 16.0 2.0 0.0 0.0 1.0 4.0 12.0 16.0 12.0 0.0 0.0 0.0 7.0 16.0 16.0 16.0 12.0 0.0 0.0 0.0 0.0 3.0 10.0 16.0 14.0 0.0 0.0 0.0 0.0 0.0 8.0 16.0 12.0 0.0 0.0 0.0 0.0 0.0 6.0 16.0 16.0 2.0 0.0 0.0 0.0 0.0 2.0 12.0 15.0 4.0 0.0 1
22 0.0 0.0 8.0 16.0 5.0 0.0 0.0 0.0 0.0 1.0 13.0 11.0 16.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 13.0 3.0 0.0 0.0 0.0 0.0 3.0 1.0 16.0 1.0 0.0 0.0 0.0 0.0 0.0 9.0 12.0 0.0 0.0 0.0 0.0 0.0 3.0 15.0 5.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 8.0 8.0 3.0 0.0 0.0 0.0 7.0 12.0 12.0 12.0 13.0 1.0 2
23 0.0 1.0 8.0 12.0 15.0 14.0 4.0 0.0 0.0 3.0 11.0 8.0 8.0 12.0 12.0 0.0 0.0 0.0 0.0 0.0 2.0 13.0 7.0 0.0 0.0 0.0 0.0 2.0 15.0 12.0 1.0 0.0 0.0 0.0 0.0 0.0 13.0 5.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 13.0 0.0 0.0 0.0 0.0 7.0 8.0 14.0 15.0 0.0 0.0 0.0 0.0 14.0 15.0 11.0 2.0 0.0 0.0 3
24 0.0 0.0 0.0 0.0 12.0 2.0 0.0 0.0 0.0 0.0 0.0 6.0 14.0 1.0 0.0 0.0 0.0 0.0 4.0 16.0 7.0 8.0 0.0 0.0 0.0 0.0 13.0 9.0 0.0 16.0 6.0 0.0 0.0 6.0 16.0 10.0 11.0 16.0 0.0 0.0 0.0 0.0 5.0 10.0 13.0 16.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 16.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 8.0 0.0 0.0 4
25 0.0 0.0 12.0 8.0 8.0 7.0 0.0 0.0 0.0 3.0 16.0 16.0 11.0 7.0 0.0 0.0 0.0 2.0 14.0 1.0 0.0 0.0 0.0 0.0 0.0 5.0 14.0 5.0 0.0 0.0 0.0 0.0 0.0 2.0 15.0 16.0 9.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 16.0 2.0 0.0 0.0 0.0 0.0 4.0 8.0 16.0 4.0 0.0 0.0 0.0 0.0 11.0 14.0 9.0 0.0 0.0 0.0 5
26 0.0 0.0 1.0 13.0 14.0 3.0 0.0 0.0 0.0 0.0 8.0 16.0 13.0 2.0 0.0 0.0 0.0 2.0 16.0 16.0 3.0 0.0 0.0 0.0 0.0 3.0 16.0 12.0 1.0 0.0 0.0 0.0 0.0 5.0 16.0 14.0 5.0 0.0 0.0 0.0 0.0 3.0 16.0 16.0 16.0 16.0 6.0 0.0 0.0 1.0 14.0 16.0 16.0 16.0 12.0 0.0 0.0 0.0 3.0 12.0 15.0 14.0 7.0 0.0 6
27 0.0 0.0 0.0 8.0 14.0 14.0 2.0 0.0 0.0 0.0 0.0 6.0 10.0 15.0 11.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 10.0 0.0 0.0 2.0 8.0 11.0 12.0 16.0 8.0 0.0 0.0 8.0 16.0 16.0 16.0 16.0 7.0 0.0 0.0 0.0 0.0 0.0 11.0 15.0 1.0 0.0 0.0 0.0 0.0 9.0 16.0 7.0 0.0 0.0 0.0 0.0 0.0 12.0 13.0 1.0 0.0 0.0 7
28 0.0 0.0 10.0 11.0 4.0 0.0 0.0 0.0 0.0 0.0 10.0 15.0 13.0 13.0 1.0 0.0 0.0 0.0 8.0 11.0 0.0 14.0 4.0 0.0 0.0 0.0 0.0 13.0 15.0 13.0 0.0 0.0 0.0 1.0 11.0 16.0 16.0 0.0 0.0 0.0 0.0 1.0 15.0 3.0 9.0 10.0 0.0 0.0 0.0 0.0 14.0 6.0 15.0 10.0 0.0 0.0 0.0 0.0 8.0 14.0 7.0 1.0 0.0 0.0 8
29 0.0 0.0 9.0 13.0 7.0 0.0 0.0 0.0 0.0 0.0 12.0 16.0 16.0 2.0 0.0 0.0 0.0 0.0 12.0 13.0 16.0 6.0 0.0 0.0 0.0 0.0 6.0 16.0 16.0 14.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 16.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 10.0 0.0 0.0 0.0 3.0 7.0 12.0 14.0 16.0 2.0 0.0 0.0 7.0 12.0 12.0 12.0 11.0 0.0 9
30 0.0 0.0 10.0 14.0 11.0 3.0 0.0 0.0 0.0 4.0 16.0 13.0 6.0 14.0 1.0 0.0 0.0 4.0 16.0 2.0 0.0 11.0 7.0 0.0 0.0 8.0 16.0 0.0 0.0 10.0 5.0 0.0 0.0 8.0 16.0 0.0 0.0 14.0 4.0 0.0 0.0 8.0 16.0 0.0 1.0 16.0 1.0 0.0 0.0 4.0 16.0 1.0 11.0 15.0 0.0 0.0 0.0 0.0 11.0 16.0 12.0 3.0 0.0 0.0 0
31 0.0 0.0 2.0 13.0 8.0 0.0 0.0 0.0 0.0 0.0 6.0 16.0 16.0 6.0 0.0 0.0 0.0 0.0 5.0 15.0 13.0 11.0 0.0 0.0 0.0 0.0 0.0 7.0 16.0 15.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 11.0 0.0 0.0 0.0 0.0 3.0 4.0 4.0 16.0 2.0 0.0 0.0 2.0 15.0 13.0 14.0 13.0 2.0 9
32 0.0 2.0 13.0 16.0 16.0 16.0 11.0 0.0 0.0 5.0 16.0 10.0 5.0 4.0 1.0 0.0 0.0 6.0 16.0 7.0 3.0 0.0 0.0 0.0 0.0 9.0 16.0 16.0 16.0 6.0 0.0 0.0 0.0 3.0 8.0 4.0 11.0 15.0 0.0 0.0 0.0 0.0 0.0 1.0 12.0 15.0 0.0 0.0 0.0 0.0 4.0 13.0 16.0 6.0 0.0 0.0 0.0 2.0 16.0 15.0 8.0 0.0 0.0 0.0 5
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1001 0.0 0.0 0.0 1.0 15.0 2.0 0.0 0.0 0.0 0.0 0.0 5.0 15.0 0.0 4.0 0.0 0.0 0.0 0.0 13.0 8.0 1.0 16.0 3.0 0.0 0.0 5.0 15.0 2.0 5.0 15.0 0.0 0.0 5.0 15.0 16.0 16.0 16.0 8.0 0.0 0.0 14.0 12.0 12.0 14.0 16.0 2.0 0.0 0.0 0.0 0.0 0.0 12.0 12.0 0.0 0.0 0.0 0.0 0.0 2.0 16.0 5.0 0.0 0.0 4
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1004 0.0 0.0 14.0 16.0 15.0 3.0 0.0 0.0 0.0 0.0 6.0 5.0 13.0 8.0 0.0 0.0 0.0 0.0 0.0 8.0 16.0 5.0 0.0 0.0 0.0 0.0 0.0 11.0 16.0 10.0 0.0 0.0 0.0 1.0 3.0 0.0 4.0 15.0 8.0 0.0 0.0 6.0 15.0 0.0 0.0 9.0 15.0 0.0 0.0 5.0 16.0 5.0 6.0 14.0 14.0 0.0 0.0 1.0 11.0 16.0 16.0 14.0 2.0 0.0 3
1005 0.0 0.0 2.0 14.0 5.0 0.0 0.0 0.0 0.0 0.0 9.0 12.0 0.0 0.0 0.0 0.0 0.0 1.0 15.0 1.0 0.0 0.0 0.0 0.0 0.0 3.0 15.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 16.0 16.0 16.0 13.0 1.0 0.0 0.0 2.0 16.0 8.0 4.0 7.0 11.0 0.0 0.0 0.0 12.0 11.0 1.0 8.0 11.0 0.0 0.0 0.0 3.0 12.0 16.0 15.0 4.0 0.0 6
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1008 0.0 0.0 11.0 10.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 15.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 16.0 5.0 0.0 0.0 0.0 0.0 0.0 13.0 16.0 11.0 0.0 0.0 0.0 0.0 0.0 2.0 7.0 16.0 2.0 0.0 0.0 0.0 0.0 0.0 2.0 14.0 6.0 0.0 0.0 0.0 0.0 6.0 10.0 15.0 13.0 8.0 3.0 0.0 0.0 8.0 16.0 16.0 16.0 16.0 12.0 1
1009 0.0 0.0 4.0 15.0 16.0 13.0 13.0 10.0 0.0 0.0 12.0 13.0 10.0 15.0 14.0 2.0 0.0 2.0 16.0 6.0 2.0 14.0 6.0 0.0 0.0 1.0 5.0 0.0 9.0 11.0 0.0 0.0 0.0 0.0 7.0 12.0 16.0 14.0 6.0 0.0 0.0 0.0 8.0 15.0 15.0 11.0 2.0 0.0 0.0 0.0 2.0 16.0 8.0 0.0 0.0 0.0 0.0 0.0 7.0 15.0 4.0 0.0 0.0 0.0 7
1010 0.0 0.0 9.0 12.0 12.0 12.0 6.0 0.0 0.0 1.0 14.0 6.0 4.0 4.0 2.0 0.0 0.0 4.0 15.0 12.0 9.0 1.0 0.0 0.0 0.0 4.0 15.0 8.0 11.0 11.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 14.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 8.0 0.0 0.0 0.0 10.0 1.0 0.0 8.0 8.0 0.0 0.0 0.0 9.0 16.0 16.0 15.0 4.0 0.0 5
1011 0.0 0.0 0.0 6.0 16.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 13.0 0.0 0.0 0.0 0.0 0.0 5.0 15.0 3.0 6.0 15.0 0.0 0.0 1.0 14.0 11.0 0.0 13.0 13.0 0.0 0.0 10.0 16.0 13.0 12.0 16.0 5.0 0.0 0.0 11.0 12.0 12.0 16.0 14.0 2.0 0.0 0.0 0.0 0.0 3.0 16.0 9.0 0.0 0.0 0.0 0.0 0.0 8.0 16.0 3.0 0.0 0.0 4
1012 0.0 0.0 0.0 9.0 13.0 0.0 0.0 0.0 0.0 0.0 2.0 16.0 8.0 0.0 7.0 1.0 0.0 0.0 10.0 13.0 1.0 6.0 16.0 5.0 0.0 6.0 16.0 11.0 8.0 14.0 15.0 0.0 0.0 13.0 16.0 16.0 16.0 16.0 9.0 0.0 0.0 2.0 2.0 0.0 11.0 16.0 1.0 0.0 0.0 0.0 0.0 4.0 16.0 7.0 0.0 0.0 0.0 0.0 0.0 9.0 15.0 2.0 0.0 0.0 4
1013 0.0 0.0 6.0 16.0 16.0 16.0 12.0 0.0 0.0 0.0 13.0 10.0 8.0 16.0 5.0 0.0 0.0 1.0 15.0 1.0 9.0 12.0 0.0 0.0 0.0 0.0 4.0 0.0 13.0 7.0 0.0 0.0 0.0 0.0 10.0 16.0 16.0 16.0 9.0 0.0 0.0 0.0 7.0 14.0 12.0 8.0 3.0 0.0 0.0 0.0 3.0 15.0 5.0 0.0 0.0 0.0 0.0 0.0 8.0 15.0 0.0 0.0 0.0 0.0 7
1014 0.0 0.0 8.0 12.0 5.0 0.0 0.0 0.0 0.0 3.0 16.0 8.0 12.0 1.0 0.0 0.0 0.0 0.0 14.0 0.0 12.0 3.0 0.0 0.0 0.0 0.0 3.0 0.0 12.0 3.0 0.0 0.0 0.0 0.0 0.0 3.0 14.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 12.0 0.0 0.0 0.0 0.0 0.0 5.0 16.0 6.0 4.0 4.0 0.0 0.0 0.0 14.0 16.0 16.0 16.0 14.0 0.0 2
1015 0.0 0.0 10.0 16.0 8.0 0.0 0.0 0.0 0.0 7.0 13.0 4.0 14.0 7.0 0.0 0.0 0.0 7.0 13.0 2.0 7.0 8.0 0.0 0.0 0.0 0.0 7.0 16.0 16.0 5.0 0.0 0.0 0.0 1.0 12.0 13.0 15.0 6.0 0.0 0.0 0.0 3.0 16.0 2.0 4.0 13.0 6.0 0.0 0.0 4.0 16.0 4.0 1.0 11.0 12.0 0.0 0.0 0.0 7.0 15.0 16.0 14.0 2.0 0.0 8
1016 0.0 0.0 9.0 16.0 7.0 0.0 0.0 0.0 0.0 0.0 14.0 13.0 16.0 2.0 0.0 0.0 0.0 0.0 7.0 9.0 15.0 8.0 0.0 0.0 0.0 0.0 0.0 1.0 13.0 9.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 7.0 0.0 0.0 0.0 0.0 0.0 4.0 16.0 5.0 0.0 0.0 0.0 0.0 7.0 16.0 16.0 8.0 6.0 0.0 0.0 0.0 9.0 15.0 12.0 16.0 16.0 9.0 2
1017 0.0 3.0 15.0 16.0 8.0 0.0 0.0 0.0 0.0 9.0 16.0 11.0 15.0 2.0 0.0 0.0 0.0 11.0 10.0 4.0 16.0 2.0 0.0 0.0 0.0 2.0 4.0 6.0 16.0 1.0 0.0 0.0 0.0 0.0 0.0 10.0 13.0 0.0 0.0 0.0 0.0 0.0 2.0 14.0 13.0 0.0 0.0 0.0 0.0 3.0 16.0 16.0 16.0 16.0 13.0 1.0 0.0 3.0 16.0 12.0 8.0 12.0 11.0 1.0 2
1018 0.0 0.0 7.0 12.0 13.0 4.0 0.0 0.0 0.0 0.0 16.0 6.0 6.0 2.0 0.0 0.0 0.0 4.0 13.0 7.0 8.0 2.0 0.0 0.0 0.0 7.0 16.0 10.0 10.0 14.0 1.0 0.0 0.0 2.0 2.0 0.0 0.0 10.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8.0 0.0 0.0 0.0 11.0 1.0 0.0 10.0 8.0 0.0 0.0 0.0 8.0 15.0 15.0 15.0 2.0 0.0 5
1019 0.0 0.0 4.0 16.0 8.0 11.0 7.0 0.0 0.0 0.0 10.0 16.0 15.0 16.0 6.0 0.0 0.0 3.0 16.0 4.0 6.0 15.0 0.0 0.0 0.0 3.0 8.0 0.0 13.0 8.0 0.0 0.0 0.0 0.0 6.0 16.0 16.0 13.0 6.0 0.0 0.0 0.0 3.0 14.0 13.0 9.0 3.0 0.0 0.0 0.0 0.0 14.0 6.0 0.0 0.0 0.0 0.0 0.0 4.0 15.0 2.0 0.0 0.0 0.0 7
1020 0.0 0.0 6.0 12.0 13.0 2.0 0.0 0.0 0.0 3.0 16.0 6.0 1.0 15.0 0.0 0.0 0.0 5.0 16.0 13.0 12.0 16.0 2.0 0.0 0.0 2.0 13.0 16.0 12.0 15.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8.0 0.0 0.0 0.0 1.0 0.0 0.0 8.0 8.0 0.0 0.0 3.0 16.0 2.0 0.0 10.0 7.0 0.0 0.0 0.0 5.0 11.0 16.0 13.0 1.0 0.0 9
1021 0.0 2.0 16.0 16.0 16.0 16.0 4.0 0.0 0.0 4.0 16.0 6.0 8.0 7.0 1.0 0.0 0.0 4.0 16.0 7.0 2.0 0.0 0.0 0.0 0.0 4.0 16.0 16.0 16.0 6.0 0.0 0.0 0.0 0.0 5.0 4.0 10.0 15.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 14.0 6.0 0.0 0.0 2.0 14.0 4.0 4.0 16.0 8.0 0.0 0.0 3.0 13.0 16.0 16.0 15.0 1.0 0.0 5
1022 0.0 0.0 0.0 9.0 13.0 0.0 6.0 8.0 0.0 0.0 3.0 15.0 3.0 0.0 15.0 9.0 0.0 1.0 13.0 12.0 4.0 7.0 15.0 3.0 0.0 7.0 16.0 16.0 16.0 16.0 10.0 0.0 0.0 6.0 12.0 10.0 14.0 14.0 2.0 0.0 0.0 0.0 0.0 0.0 13.0 10.0 0.0 0.0 0.0 0.0 0.0 6.0 16.0 2.0 0.0 0.0 0.0 0.0 0.0 12.0 11.0 0.0 0.0 0.0 4
1023 0.0 0.0 0.0 10.0 9.0 0.0 0.0 0.0 0.0 0.0 5.0 15.0 0.0 0.0 9.0 5.0 0.0 0.0 14.0 10.0 0.0 7.0 16.0 4.0 0.0 5.0 16.0 7.0 5.0 16.0 6.0 0.0 0.0 11.0 16.0 16.0 16.0 14.0 0.0 0.0 0.0 3.0 4.0 11.0 16.0 8.0 0.0 0.0 0.0 0.0 0.0 7.0 16.0 2.0 0.0 0.0 0.0 0.0 0.0 12.0 12.0 0.0 0.0 0.0 4
1024 0.0 0.0 11.0 14.0 5.0 0.0 0.0 0.0 0.0 6.0 12.0 4.0 13.0 4.0 0.0 0.0 0.0 10.0 10.0 0.0 4.0 14.0 0.0 0.0 0.0 7.0 13.0 5.0 13.0 16.0 2.0 0.0 0.0 1.0 10.0 12.0 12.0 14.0 8.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 12.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 15.0 0.0 0.0 0.0 11.0 8.0 4.0 5.0 16.0 1.0 9
1025 0.0 0.0 9.0 13.0 16.0 5.0 0.0 0.0 0.0 3.0 16.0 8.0 4.0 13.0 0.0 0.0 0.0 6.0 10.0 1.0 0.0 9.0 2.0 0.0 0.0 5.0 4.0 0.0 0.0 4.0 8.0 0.0 0.0 8.0 4.0 0.0 0.0 4.0 8.0 0.0 0.0 6.0 6.0 0.0 0.0 4.0 9.0 0.0 0.0 0.0 13.0 2.0 0.0 7.0 8.0 0.0 0.0 0.0 8.0 12.0 13.0 15.0 2.0 0.0 0
1026 0.0 0.0 2.0 11.0 14.0 8.0 1.0 0.0 0.0 3.0 14.0 9.0 8.0 13.0 4.0 0.0 0.0 6.0 11.0 1.0 4.0 14.0 1.0 0.0 0.0 0.0 9.0 14.0 15.0 6.0 0.0 0.0 0.0 0.0 0.0 12.0 14.0 10.0 0.0 0.0 0.0 0.0 4.0 12.0 2.0 13.0 5.0 0.0 0.0 0.0 4.0 11.0 1.0 11.0 8.0 0.0 0.0 0.0 1.0 9.0 16.0 14.0 2.0 0.0 8
1027 0.0 1.0 11.0 13.0 10.0 1.0 0.0 0.0 0.0 8.0 12.0 3.0 13.0 10.0 0.0 0.0 0.0 8.0 11.0 2.0 11.0 16.0 1.0 0.0 0.0 1.0 15.0 16.0 16.0 16.0 2.0 0.0 0.0 0.0 2.0 8.0 3.0 9.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 9.0 0.0 0.0 2.0 12.0 3.0 0.0 9.0 12.0 0.0 0.0 1.0 9.0 15.0 16.0 13.0 3.0 0.0 9
1028 0.0 0.0 8.0 16.0 15.0 6.0 0.0 0.0 0.0 5.0 14.0 4.0 4.0 15.0 0.0 0.0 0.0 6.0 13.0 0.0 1.0 15.0 2.0 0.0 0.0 1.0 11.0 11.0 13.0 10.0 0.0 0.0 0.0 0.0 1.0 16.0 16.0 3.0 0.0 0.0 0.0 0.0 12.0 9.0 5.0 13.0 2.0 0.0 0.0 0.0 16.0 2.0 1.0 13.0 8.0 0.0 0.0 0.0 8.0 15.0 16.0 14.0 1.0 0.0 8
1029 0.0 0.0 3.0 12.0 12.0 2.0 0.0 0.0 0.0 0.0 11.0 10.0 7.0 14.0 2.0 0.0 0.0 0.0 11.0 1.0 0.0 8.0 4.0 0.0 0.0 2.0 14.0 2.0 0.0 5.0 7.0 0.0 0.0 8.0 9.0 0.0 0.0 6.0 8.0 0.0 0.0 3.0 13.0 0.0 0.0 12.0 7.0 0.0 0.0 0.0 15.0 6.0 11.0 12.0 0.0 0.0 0.0 0.0 4.0 15.0 11.0 1.0 0.0 0.0 0
1030 0.0 0.0 5.0 12.0 12.0 9.0 3.0 0.0 0.0 0.0 8.0 16.0 16.0 16.0 4.0 0.0 0.0 0.0 9.0 16.0 16.0 14.0 1.0 0.0 0.0 0.0 11.0 16.0 16.0 12.0 0.0 0.0 0.0 0.0 12.0 16.0 16.0 12.0 0.0 0.0 0.0 0.0 11.0 16.0 16.0 12.0 0.0 0.0 0.0 0.0 4.0 16.0 16.0 12.0 0.0 0.0 0.0 0.0 6.0 12.0 12.0 6.0 0.0 0.0 1
1031 0.0 1.0 15.0 16.0 4.0 0.0 0.0 0.0 0.0 9.0 16.0 11.0 14.0 0.0 0.0 0.0 0.0 12.0 10.0 5.0 16.0 0.0 0.0 0.0 0.0 4.0 7.0 8.0 13.0 0.0 0.0 0.0 0.0 0.0 1.0 15.0 6.0 0.0 0.0 0.0 0.0 0.0 5.0 16.0 2.0 0.0 0.0 0.0 0.0 4.0 15.0 14.0 10.0 11.0 12.0 1.0 0.0 0.0 13.0 16.0 16.0 15.0 11.0 1.0 2
1032 0.0 0.0 6.0 12.0 13.0 9.0 0.0 0.0 0.0 7.0 14.0 6.0 7.0 16.0 3.0 0.0 0.0 4.0 6.0 5.0 14.0 6.0 0.0 0.0 0.0 0.0 0.0 12.0 14.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 14.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 7.0 0.0 0.0 0.0 3.0 1.0 0.0 9.0 8.0 0.0 0.0 0.0 5.0 14.0 12.0 13.0 2.0 0.0 3
1033 0.0 0.0 0.0 8.0 14.0 0.0 0.0 0.0 0.0 0.0 5.0 16.0 7.0 1.0 9.0 3.0 0.0 2.0 15.0 12.0 0.0 13.0 16.0 4.0 0.0 9.0 16.0 10.0 10.0 16.0 11.0 0.0 0.0 4.0 15.0 16.0 16.0 14.0 1.0 0.0 0.0 0.0 0.0 1.0 15.0 9.0 0.0 0.0 0.0 0.0 0.0 5.0 16.0 3.0 0.0 0.0 0.0 0.0 0.0 11.0 14.0 0.0 0.0 0.0 4
1034 0.0 1.0 8.0 15.0 16.0 16.0 9.0 0.0 0.0 8.0 16.0 12.0 8.0 8.0 5.0 0.0 0.0 8.0 14.0 7.0 0.0 0.0 0.0 0.0 0.0 9.0 16.0 16.0 12.0 0.0 0.0 0.0 0.0 8.0 13.0 8.0 16.0 3.0 0.0 0.0 0.0 0.0 0.0 1.0 16.0 4.0 0.0 0.0 0.0 0.0 0.0 8.0 15.0 1.0 0.0 0.0 0.0 0.0 12.0 15.0 5.0 0.0 0.0 0.0 5
1035 0.0 0.0 5.0 13.0 1.0 0.0 0.0 0.0 0.0 0.0 12.0 13.0 1.0 0.0 0.0 0.0 0.0 0.0 16.0 3.0 0.0 0.0 0.0 0.0 0.0 3.0 16.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 16.0 16.0 14.0 9.0 0.0 0.0 0.0 2.0 16.0 8.0 3.0 8.0 9.0 0.0 0.0 0.0 14.0 2.0 0.0 3.0 16.0 1.0 0.0 0.0 6.0 15.0 16.0 14.0 5.0 0.0 6
1036 0.0 0.0 6.0 12.0 10.0 14.0 8.0 0.0 0.0 0.0 15.0 14.0 13.0 16.0 3.0 0.0 0.0 1.0 12.0 0.0 9.0 11.0 0.0 0.0 0.0 0.0 0.0 4.0 16.0 8.0 2.0 0.0 0.0 0.0 9.0 16.0 16.0 16.0 9.0 0.0 0.0 0.0 2.0 15.0 6.0 0.0 0.0 0.0 0.0 0.0 3.0 15.0 1.0 0.0 0.0 0.0 0.0 0.0 8.0 11.0 0.0 0.0 0.0 0.0 7
1037 0.0 0.0 7.0 15.0 16.0 8.0 0.0 0.0 0.0 0.0 16.0 7.0 6.0 15.0 3.0 0.0 0.0 4.0 16.0 0.0 7.0 13.0 4.0 0.0 0.0 0.0 16.0 2.0 8.0 14.0 8.0 0.0 0.0 0.0 12.0 14.0 14.0 7.0 0.0 0.0 0.0 0.0 9.0 16.0 6.0 0.0 0.0 0.0 0.0 0.0 11.0 3.0 14.0 2.0 0.0 0.0 0.0 0.0 5.0 11.0 10.0 10.0 0.0 0.0 8
1038 0.0 1.0 11.0 16.0 11.0 1.0 0.0 0.0 0.0 6.0 11.0 16.0 16.0 7.0 0.0 0.0 0.0 1.0 2.0 9.0 16.0 11.0 0.0 0.0 0.0 2.0 14.0 12.0 16.0 12.0 0.0 0.0 0.0 0.0 3.0 8.0 4.0 13.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 8.0 0.0 0.0 0.0 4.0 12.0 16.0 14.0 6.0 0.0 0.0 0.0 14.0 8.0 4.0 0.0 0.0 0.0 9
1039 0.0 0.0 2.0 14.0 9.0 1.0 0.0 0.0 0.0 1.0 12.0 12.0 11.0 8.0 0.0 0.0 0.0 4.0 14.0 1.0 0.0 13.0 3.0 0.0 0.0 8.0 13.0 0.0 0.0 10.0 6.0 0.0 0.0 5.0 16.0 1.0 0.0 8.0 9.0 0.0 0.0 0.0 16.0 0.0 0.0 11.0 9.0 0.0 0.0 0.0 13.0 11.0 10.0 15.0 4.0 0.0 0.0 0.0 3.0 15.0 16.0 5.0 0.0 0.0 0
1040 0.0 0.0 6.0 10.0 8.0 3.0 0.0 0.0 0.0 0.0 6.0 16.0 16.0 9.0 0.0 0.0 0.0 0.0 9.0 16.0 16.0 6.0 0.0 0.0 0.0 0.0 7.0 16.0 16.0 10.0 0.0 0.0 0.0 0.0 11.0 16.0 16.0 8.0 0.0 0.0 0.0 0.0 7.0 16.0 16.0 9.0 0.0 0.0 0.0 0.0 10.0 16.0 16.0 6.0 0.0 0.0 0.0 0.0 4.0 9.0 12.0 11.0 2.0 0.0 1
1041 0.0 0.0 8.0 15.0 15.0 2.0 0.0 0.0 0.0 2.0 16.0 13.0 12.0 10.0 0.0 0.0 0.0 3.0 15.0 1.0 9.0 11.0 0.0 0.0 0.0 0.0 0.0 1.0 15.0 8.0 0.0 0.0 0.0 0.0 0.0 10.0 13.0 1.0 0.0 0.0 0.0 0.0 8.0 16.0 7.0 0.0 0.0 0.0 0.0 6.0 16.0 16.0 13.0 7.0 6.0 1.0 0.0 0.0 7.0 5.0 12.0 16.0 15.0 2.0 2
1042 0.0 0.0 7.0 13.0 16.0 5.0 0.0 0.0 0.0 6.0 15.0 7.0 6.0 14.0 0.0 0.0 0.0 9.0 5.0 1.0 10.0 9.0 0.0 0.0 0.0 0.0 0.0 8.0 16.0 5.0 0.0 0.0 0.0 0.0 0.0 1.0 6.0 15.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 12.0 0.0 0.0 0.0 4.0 5.0 2.0 5.0 13.0 0.0 0.0 0.0 6.0 12.0 16.0 14.0 5.0 0.0 3
1043 0.0 0.0 0.0 6.0 15.0 1.0 0.0 0.0 0.0 0.0 5.0 16.0 10.0 0.0 8.0 6.0 0.0 2.0 16.0 11.0 0.0 9.0 16.0 6.0 0.0 8.0 16.0 14.0 14.0 16.0 13.0 1.0 0.0 6.0 12.0 12.0 12.0 16.0 3.0 0.0 0.0 0.0 0.0 0.0 13.0 11.0 0.0 0.0 0.0 0.0 0.0 6.0 16.0 5.0 0.0 0.0 0.0 0.0 0.0 10.0 14.0 0.0 0.0 0.0 4
1044 0.0 1.0 7.0 15.0 16.0 16.0 14.0 0.0 0.0 10.0 16.0 11.0 6.0 3.0 1.0 0.0 0.0 7.0 16.0 16.0 12.0 0.0 0.0 0.0 0.0 8.0 16.0 12.0 16.0 4.0 0.0 0.0 0.0 1.0 4.0 0.0 13.0 8.0 0.0 0.0 0.0 0.0 0.0 0.0 15.0 8.0 0.0 0.0 0.0 0.0 0.0 7.0 16.0 2.0 0.0 0.0 0.0 0.0 13.0 15.0 5.0 0.0 0.0 0.0 5
1045 0.0 0.0 2.0 12.0 1.0 0.0 0.0 0.0 0.0 0.0 11.0 12.0 0.0 0.0 0.0 0.0 0.0 2.0 16.0 4.0 0.0 0.0 0.0 0.0 0.0 6.0 16.0 10.0 10.0 5.0 0.0 0.0 0.0 5.0 16.0 15.0 12.0 14.0 6.0 0.0 0.0 4.0 16.0 3.0 0.0 8.0 12.0 0.0 0.0 0.0 14.0 9.0 4.0 11.0 13.0 0.0 0.0 0.0 3.0 14.0 16.0 12.0 3.0 0.0 6
1046 0.0 0.0 3.0 15.0 16.0 16.0 12.0 0.0 0.0 0.0 12.0 12.0 7.0 16.0 6.0 0.0 0.0 4.0 12.0 0.0 9.0 13.0 0.0 0.0 0.0 0.0 1.0 1.0 13.0 7.0 0.0 0.0 0.0 0.0 8.0 13.0 16.0 16.0 6.0 0.0 0.0 0.0 12.0 15.0 12.0 6.0 1.0 0.0 0.0 0.0 0.0 15.0 5.0 0.0 0.0 0.0 0.0 0.0 3.0 16.0 2.0 0.0 0.0 0.0 7
1047 0.0 0.0 14.0 16.0 8.0 0.0 0.0 0.0 0.0 0.0 16.0 4.0 13.0 8.0 8.0 0.0 0.0 0.0 12.0 7.0 12.0 14.0 5.0 0.0 0.0 0.0 4.0 15.0 16.0 5.0 0.0 0.0 0.0 0.0 0.0 14.0 14.0 0.0 0.0 0.0 0.0 0.0 8.0 10.0 11.0 2.0 0.0 0.0 0.0 0.0 13.0 0.0 12.0 3.0 0.0 0.0 0.0 0.0 14.0 15.0 12.0 1.0 0.0 0.0 8
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1088 0.0 0.0 10.0 16.0 13.0 12.0 15.0 5.0 0.0 4.0 16.0 8.0 12.0 16.0 6.0 0.0 0.0 6.0 12.0 2.0 16.0 7.0 0.0 0.0 0.0 1.0 5.0 9.0 14.0 1.0 0.0 0.0 0.0 1.0 7.0 16.0 12.0 2.0 0.0 0.0 0.0 8.0 16.0 16.0 12.0 5.0 0.0 0.0 0.0 1.0 11.0 10.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 6.0 0.0 0.0 0.0 0.0 7
1089 0.0 1.0 13.0 16.0 16.0 10.0 0.0 0.0 0.0 8.0 15.0 8.0 15.0 15.0 0.0 0.0 0.0 3.0 8.0 5.0 16.0 6.0 0.0 0.0 0.0 0.0 0.0 4.0 16.0 9.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 16.0 5.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 16.0 0.0 0.0 0.0 8.0 6.0 6.0 13.0 12.0 0.0 0.0 1.0 15.0 16.0 16.0 14.0 3.0 0.0 3
1090 0.0 1.0 12.0 16.0 16.0 9.0 0.0 0.0 0.0 11.0 15.0 9.0 7.0 16.0 3.0 0.0 0.0 13.0 3.0 1.0 10.0 15.0 1.0 0.0 0.0 0.0 0.0 11.0 16.0 8.0 0.0 0.0 0.0 0.0 0.0 5.0 15.0 16.0 5.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 13.0 0.0 0.0 0.0 7.0 4.0 8.0 15.0 9.0 0.0 0.0 0.0 13.0 16.0 16.0 12.0 1.0 0.0 3
1091 0.0 0.0 1.0 14.0 11.0 0.0 0.0 0.0 0.0 0.0 9.0 15.0 2.0 0.0 4.0 0.0 0.0 2.0 16.0 6.0 0.0 7.0 16.0 2.0 0.0 8.0 16.0 6.0 6.0 16.0 12.0 0.0 0.0 5.0 16.0 16.0 16.0 15.0 3.0 0.0 0.0 0.0 1.0 4.0 16.0 8.0 0.0 0.0 0.0 0.0 0.0 9.0 16.0 1.0 0.0 0.0 0.0 0.0 0.0 15.0 16.0 0.0 0.0 0.0 4
1092 0.0 0.0 1.0 14.0 6.0 0.0 0.0 0.0 0.0 0.0 7.0 15.0 1.0 0.0 0.0 0.0 0.0 0.0 13.0 7.0 0.0 0.0 0.0 0.0 0.0 0.0 13.0 5.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 7.0 5.0 4.0 1.0 0.0 0.0 0.0 10.0 16.0 13.0 14.0 14.0 0.0 0.0 0.0 9.0 14.0 1.0 4.0 16.0 3.0 0.0 0.0 1.0 12.0 13.0 16.0 9.0 1.0 6
1093 0.0 0.0 0.0 7.0 11.0 0.0 0.0 0.0 0.0 0.0 1.0 16.0 10.0 0.0 0.0 0.0 0.0 0.0 7.0 11.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 8.0 1.0 1.0 0.0 0.0 0.0 0.0 12.0 16.0 16.0 15.0 5.0 0.0 0.0 0.0 14.0 11.0 0.0 1.0 15.0 0.0 0.0 0.0 6.0 11.0 1.0 3.0 14.0 2.0 0.0 0.0 0.0 8.0 16.0 16.0 7.0 0.0 6
1094 0.0 0.0 0.0 13.0 13.0 0.0 0.0 0.0 0.0 0.0 7.0 16.0 3.0 0.0 0.0 0.0 0.0 0.0 12.0 11.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 6.0 0.0 0.0 0.0 0.0 0.0 1.0 16.0 12.0 16.0 11.0 3.0 0.0 0.0 2.0 16.0 15.0 9.0 9.0 15.0 2.0 0.0 0.0 11.0 12.0 1.0 3.0 16.0 6.0 0.0 0.0 1.0 13.0 16.0 16.0 15.0 1.0 6
1095 0.0 0.0 3.0 15.0 7.0 0.0 0.0 0.0 0.0 3.0 15.0 11.0 1.0 1.0 7.0 0.0 0.0 8.0 16.0 2.0 0.0 13.0 15.0 0.0 0.0 8.0 16.0 13.0 14.0 16.0 5.0 0.0 0.0 0.0 8.0 9.0 15.0 13.0 0.0 0.0 0.0 0.0 0.0 8.0 16.0 2.0 0.0 0.0 0.0 0.0 0.0 12.0 12.0 0.0 0.0 0.0 0.0 0.0 3.0 16.0 4.0 0.0 0.0 0.0 4
1096 0.0 0.0 7.0 12.0 11.0 1.0 0.0 0.0 0.0 0.0 12.0 10.0 5.0 14.0 0.0 0.0 0.0 6.0 13.0 13.0 3.0 15.0 0.0 0.0 0.0 8.0 9.0 11.0 16.0 8.0 0.0 0.0 0.0 1.0 11.0 10.0 9.0 11.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 13.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 12.0 0.0 0.0 0.0 8.0 12.0 16.0 13.0 2.0 0.0 9
1097 0.0 0.0 0.0 15.0 12.0 1.0 0.0 0.0 0.0 0.0 5.0 16.0 16.0 6.0 0.0 0.0 0.0 0.0 2.0 16.0 16.0 3.0 0.0 0.0 0.0 0.0 2.0 16.0 16.0 1.0 0.0 0.0 0.0 0.0 6.0 16.0 13.0 0.0 0.0 0.0 0.0 0.0 1.0 16.0 16.0 2.0 0.0 0.0 0.0 0.0 3.0 16.0 15.0 3.0 0.0 0.0 0.0 0.0 0.0 15.0 16.0 1.0 0.0 0.0 1
1098 0.0 0.0 0.0 8.0 16.0 16.0 7.0 0.0 0.0 0.0 15.0 16.0 10.0 8.0 1.0 0.0 0.0 3.0 16.0 12.0 5.0 0.0 0.0 0.0 0.0 8.0 16.0 16.0 16.0 3.0 0.0 0.0 0.0 8.0 11.0 2.0 13.0 9.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 13.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 11.0 0.0 0.0 0.0 0.0 0.0 11.0 14.0 2.0 0.0 0.0 5
1099 0.0 0.0 5.0 16.0 8.0 0.0 0.0 0.0 0.0 0.0 10.0 5.0 12.0 6.0 0.0 0.0 0.0 4.0 14.0 0.0 2.0 13.0 0.0 0.0 0.0 4.0 10.0 0.0 0.0 9.0 8.0 0.0 0.0 5.0 8.0 0.0 0.0 8.0 8.0 0.0 0.0 2.0 11.0 0.0 0.0 9.0 6.0 0.0 0.0 0.0 15.0 6.0 8.0 15.0 1.0 0.0 0.0 0.0 4.0 13.0 12.0 3.0 0.0 0.0 0
1100 0.0 1.0 12.0 15.0 10.0 2.0 0.0 0.0 0.0 4.0 14.0 1.0 6.0 12.0 2.0 0.0 0.0 7.0 15.0 0.0 1.0 14.0 4.0 0.0 0.0 3.0 15.0 12.0 15.0 10.0 0.0 0.0 0.0 0.0 3.0 15.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 13.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 6.0 0.0 0.0 0.0 0.0 11.0 12.0 13.0 4.0 0.0 0.0 9
1101 0.0 1.0 12.0 16.0 16.0 16.0 4.0 0.0 0.0 4.0 16.0 10.0 4.0 1.0 1.0 0.0 0.0 6.0 13.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 16.0 12.0 5.0 0.0 0.0 0.0 0.0 7.0 11.0 11.0 15.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 16.0 2.0 0.0 0.0 0.0 0.0 2.0 13.0 10.0 0.0 0.0 0.0 0.0 2.0 16.0 11.0 0.0 0.0 0.0 0.0 5
1102 0.0 0.0 10.0 16.0 8.0 0.0 0.0 0.0 0.0 4.0 16.0 13.0 16.0 3.0 0.0 0.0 0.0 0.0 12.0 1.0 11.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 8.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 5.0 0.0 0.0 0.0 0.0 0.0 7.0 16.0 6.0 4.0 0.0 0.0 0.0 5.0 16.0 16.0 16.0 16.0 4.0 0.0 0.0 11.0 15.0 9.0 8.0 6.0 0.0 2
1103 0.0 1.0 14.0 14.0 6.0 0.0 0.0 0.0 0.0 2.0 16.0 1.0 14.0 2.0 0.0 0.0 0.0 0.0 10.0 7.0 10.0 6.0 4.0 0.0 0.0 0.0 1.0 12.0 16.0 14.0 5.0 0.0 0.0 0.0 3.0 14.0 16.0 4.0 0.0 0.0 0.0 1.0 15.0 5.0 6.0 12.0 0.0 0.0 0.0 4.0 10.0 0.0 1.0 15.0 0.0 0.0 0.0 1.0 12.0 12.0 12.0 5.0 0.0 0.0 8
1104 0.0 1.0 11.0 16.0 16.0 10.0 0.0 0.0 0.0 8.0 16.0 11.0 7.0 16.0 1.0 0.0 0.0 7.0 11.0 0.0 5.0 16.0 2.0 0.0 0.0 0.0 2.0 0.0 7.0 14.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 12.0 0.0 0.0 0.0 0.0 0.0 3.0 16.0 6.0 0.0 0.0 0.0 0.0 5.0 15.0 16.0 11.0 6.0 0.0 0.0 0.0 14.0 16.0 13.0 13.0 16.0 5.0 2
1105 0.0 0.0 2.0 14.0 14.0 6.0 0.0 0.0 0.0 0.0 10.0 15.0 11.0 15.0 2.0 0.0 0.0 3.0 16.0 3.0 0.0 12.0 6.0 0.0 0.0 3.0 9.0 0.0 0.0 9.0 10.0 0.0 0.0 10.0 11.0 0.0 0.0 8.0 12.0 0.0 0.0 7.0 16.0 1.0 0.0 11.0 13.0 0.0 0.0 0.0 15.0 14.0 12.0 15.0 10.0 0.0 0.0 0.0 3.0 14.0 16.0 13.0 5.0 0.0 0
1106 0.0 0.0 5.0 15.0 13.0 2.0 0.0 0.0 0.0 1.0 15.0 11.0 8.0 13.0 0.0 0.0 0.0 5.0 14.0 0.0 0.0 14.0 5.0 0.0 0.0 9.0 16.0 1.0 0.0 7.0 9.0 0.0 0.0 9.0 13.0 0.0 0.0 5.0 14.0 0.0 0.0 6.0 16.0 2.0 0.0 5.0 15.0 0.0 0.0 2.0 14.0 11.0 5.0 14.0 12.0 0.0 0.0 0.0 5.0 15.0 16.0 15.0 3.0 0.0 0
1107 0.0 0.0 4.0 15.0 12.0 2.0 0.0 0.0 0.0 0.0 9.0 16.0 14.0 2.0 0.0 0.0 0.0 0.0 12.0 16.0 15.0 0.0 0.0 0.0 0.0 0.0 11.0 16.0 12.0 1.0 0.0 0.0 0.0 0.0 9.0 16.0 14.0 0.0 0.0 0.0 0.0 0.0 10.0 16.0 12.0 0.0 0.0 0.0 0.0 0.0 9.0 16.0 14.0 0.0 0.0 0.0 0.0 0.0 4.0 12.0 12.0 0.0 0.0 0.0 1
1108 0.0 0.0 10.0 15.0 8.0 13.0 6.0 0.0 0.0 0.0 13.0 14.0 14.0 15.0 2.0 0.0 0.0 1.0 15.0 0.0 13.0 7.0 0.0 0.0 0.0 2.0 7.0 9.0 16.0 13.0 13.0 0.0 0.0 0.0 10.0 16.0 11.0 7.0 2.0 0.0 0.0 0.0 4.0 16.0 2.0 0.0 0.0 0.0 0.0 0.0 7.0 13.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 4.0 0.0 0.0 0.0 0.0 7
1109 0.0 0.0 0.0 9.0 15.0 2.0 0.0 0.0 0.0 0.0 5.0 16.0 11.0 1.0 0.0 0.0 0.0 0.0 13.0 15.0 1.0 0.0 0.0 0.0 0.0 2.0 16.0 11.0 0.0 0.0 0.0 0.0 0.0 2.0 16.0 11.0 4.0 4.0 0.0 0.0 0.0 2.0 15.0 16.0 16.0 14.0 10.0 1.0 0.0 0.0 9.0 16.0 7.0 3.0 15.0 6.0 0.0 0.0 0.0 7.0 15.0 16.0 16.0 6.0 6
1110 0.0 1.0 10.0 14.0 13.0 4.0 0.0 0.0 0.0 12.0 11.0 5.0 8.0 14.0 0.0 0.0 0.0 8.0 3.0 2.0 12.0 8.0 0.0 0.0 0.0 0.0 3.0 15.0 15.0 4.0 0.0 0.0 0.0 0.0 1.0 4.0 7.0 14.0 5.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 12.0 0.0 0.0 0.0 0.0 0.0 1.0 11.0 11.0 0.0 0.0 0.0 12.0 16.0 16.0 9.0 1.0 0.0 3
1111 0.0 1.0 15.0 16.0 10.0 0.0 0.0 0.0 0.0 7.0 15.0 10.0 16.0 0.0 0.0 0.0 0.0 4.0 12.0 1.0 16.0 4.0 0.0 0.0 0.0 0.0 2.0 3.0 16.0 1.0 0.0 0.0 0.0 0.0 0.0 4.0 15.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 12.0 0.0 0.0 0.0 0.0 0.0 11.0 16.0 14.0 14.0 15.0 3.0 0.0 1.0 15.0 16.0 16.0 16.0 16.0 5.0 2
1112 0.0 0.0 3.0 15.0 12.0 2.0 0.0 0.0 0.0 0.0 1.0 16.0 16.0 6.0 0.0 0.0 0.0 0.0 4.0 16.0 16.0 2.0 0.0 0.0 0.0 0.0 3.0 16.0 16.0 6.0 0.0 0.0 0.0 0.0 4.0 16.0 16.0 0.0 0.0 0.0 0.0 0.0 1.0 15.0 16.0 6.0 0.0 0.0 0.0 0.0 4.0 16.0 16.0 4.0 0.0 0.0 0.0 0.0 4.0 16.0 16.0 6.0 0.0 0.0 1
1113 0.0 0.0 11.0 8.0 4.0 13.0 16.0 3.0 0.0 2.0 16.0 16.0 16.0 14.0 9.0 1.0 0.0 4.0 13.0 6.0 16.0 4.0 0.0 0.0 0.0 0.0 2.0 15.0 10.0 0.0 0.0 0.0 0.0 5.0 13.0 16.0 14.0 12.0 2.0 0.0 0.0 8.0 15.0 15.0 12.0 12.0 2.0 0.0 0.0 0.0 15.0 9.0 0.0 0.0 0.0 0.0 0.0 0.0 16.0 7.0 0.0 0.0 0.0 0.0 7
1114 0.0 0.0 0.0 9.0 12.0 0.0 0.0 0.0 0.0 0.0 4.0 16.0 5.0 0.0 1.0 0.0 0.0 2.0 14.0 9.0 0.0 5.0 15.0 1.0 0.0 8.0 16.0 9.0 12.0 16.0 9.0 0.0 0.0 5.0 16.0 13.0 13.0 13.0 0.0 0.0 0.0 0.0 0.0 1.0 15.0 7.0 0.0 0.0 0.0 0.0 0.0 4.0 16.0 1.0 0.0 0.0 0.0 0.0 0.0 12.0 12.0 0.0 0.0 0.0 4
1115 0.0 0.0 1.0 13.0 2.0 0.0 0.0 0.0 0.0 0.0 8.0 15.0 1.0 0.0 0.0 0.0 0.0 0.0 14.0 7.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 16.0 5.0 9.0 9.0 3.0 0.0 0.0 0.0 12.0 16.0 13.0 9.0 14.0 1.0 0.0 0.0 8.0 15.0 0.0 1.0 14.0 5.0 0.0 0.0 1.0 11.0 16.0 16.0 13.0 1.0 6
1116 0.0 1.0 10.0 15.0 16.0 11.0 0.0 0.0 0.0 8.0 11.0 4.0 7.0 14.0 0.0 0.0 0.0 7.0 1.0 2.0 13.0 7.0 0.0 0.0 0.0 0.0 0.0 10.0 16.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 14.0 5.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 9.0 0.0 0.0 0.0 2.0 0.0 3.0 11.0 7.0 0.0 0.0 0.0 15.0 16.0 16.0 7.0 0.0 0.0 3
1117 0.0 0.0 13.0 14.0 10.0 2.0 0.0 0.0 0.0 0.0 6.0 16.0 16.0 16.0 0.0 0.0 0.0 0.0 0.0 16.0 16.0 16.0 4.0 0.0 0.0 0.0 4.0 16.0 16.0 14.0 2.0 0.0 0.0 0.0 8.0 16.0 16.0 7.0 0.0 0.0 0.0 3.0 15.0 16.0 16.0 4.0 0.0 0.0 0.0 1.0 16.0 16.0 14.0 1.0 0.0 0.0 0.0 0.0 14.0 16.0 13.0 3.0 0.0 0.0 1
1118 0.0 0.0 3.0 11.0 14.0 12.0 3.0 0.0 0.0 2.0 13.0 10.0 4.0 10.0 12.0 0.0 0.0 2.0 11.0 2.0 0.0 9.0 9.0 0.0 0.0 0.0 0.0 3.0 10.0 10.0 1.0 0.0 0.0 0.0 7.0 16.0 16.0 2.0 0.0 0.0 0.0 0.0 3.0 0.0 14.0 3.0 0.0 0.0 0.0 0.0 0.0 1.0 13.0 2.0 0.0 0.0 0.0 3.0 7.0 14.0 5.0 0.0 0.0 0.0 3
1119 0.0 0.0 11.0 12.0 2.0 0.0 0.0 0.0 0.0 0.0 15.0 8.0 13.0 2.0 0.0 0.0 0.0 0.0 7.0 11.0 9.0 9.0 0.0 0.0 0.0 4.0 12.0 12.0 16.0 7.0 0.0 0.0 0.0 2.0 10.0 12.0 9.0 12.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 11.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16.0 2.0 0.0 0.0 6.0 12.0 12.0 13.0 11.0 0.0 9
1120 0.0 0.0 1.0 11.0 14.0 5.0 0.0 0.0 0.0 0.0 0.0 15.0 16.0 11.0 0.0 0.0 0.0 0.0 5.0 16.0 16.0 8.0 0.0 0.0 0.0 0.0 5.0 16.0 16.0 5.0 0.0 0.0 0.0 0.0 4.0 16.0 16.0 3.0 0.0 0.0 0.0 0.0 9.0 16.0 16.0 2.0 0.0 0.0 0.0 0.0 8.0 16.0 14.0 0.0 0.0 0.0 0.0 0.0 2.0 13.0 16.0 9.0 0.0 0.0 1
1121 0.0 0.0 4.0 13.0 16.0 16.0 7.0 0.0 0.0 0.0 15.0 10.0 7.0 16.0 1.0 0.0 0.0 7.0 12.0 0.0 12.0 7.0 0.0 0.0 0.0 9.0 5.0 3.0 16.0 2.0 0.0 0.0 0.0 2.0 11.0 16.0 16.0 12.0 7.0 0.0 0.0 5.0 10.0 16.0 12.0 8.0 3.0 0.0 0.0 0.0 3.0 15.0 2.0 0.0 0.0 0.0 0.0 0.0 6.0 14.0 0.0 0.0 0.0 0.0 7
1122 0.0 0.0 0.0 13.0 6.0 0.0 0.0 0.0 0.0 0.0 5.0 16.0 8.0 0.0 0.0 0.0 0.0 0.0 11.0 8.0 0.0 0.0 0.0 0.0 0.0 0.0 13.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 16.0 14.0 5.0 0.0 0.0 0.0 13.0 7.0 0.0 0.0 13.0 1.0 0.0 0.0 10.0 6.0 0.0 5.0 14.0 0.0 0.0 0.0 2.0 13.0 12.0 15.0 4.0 0.0 6
1123 0.0 0.0 10.0 15.0 8.0 0.0 0.0 0.0 0.0 0.0 16.0 4.0 11.0 3.0 5.0 0.0 0.0 0.0 14.0 5.0 7.0 10.0 7.0 0.0 0.0 0.0 4.0 13.0 12.0 11.0 0.0 0.0 0.0 0.0 2.0 14.0 12.0 0.0 0.0 0.0 0.0 1.0 14.0 7.0 12.0 4.0 0.0 0.0 0.0 7.0 10.0 0.0 3.0 12.0 0.0 0.0 0.0 1.0 10.0 11.0 12.0 10.0 0.0 0.0 8
1124 0.0 0.0 0.0 8.0 12.0 0.0 0.0 0.0 0.0 0.0 5.0 16.0 3.0 0.0 2.0 0.0 0.0 1.0 16.0 5.0 1.0 10.0 15.0 1.0 0.0 9.0 16.0 4.0 9.0 16.0 7.0 0.0 0.0 7.0 16.0 16.0 16.0 7.0 0.0 0.0 0.0 0.0 2.0 8.0 16.0 2.0 0.0 0.0 0.0 0.0 0.0 10.0 13.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 10.0 0.0 0.0 0.0 4
1125 0.0 1.0 12.0 16.0 13.0 7.0 0.0 0.0 0.0 12.0 11.0 4.0 4.0 15.0 0.0 0.0 0.0 8.0 3.0 0.0 6.0 14.0 2.0 0.0 0.0 0.0 0.0 9.0 16.0 8.0 0.0 0.0 0.0 0.0 0.0 1.0 5.0 13.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 8.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 10.0 0.0 0.0 0.0 10.0 10.0 13.0 14.0 1.0 0.0 3
1126 0.0 0.0 1.0 12.0 11.0 1.0 0.0 0.0 0.0 0.0 1.0 16.0 16.0 4.0 0.0 0.0 0.0 0.0 3.0 16.0 15.0 2.0 0.0 0.0 0.0 0.0 9.0 16.0 12.0 0.0 0.0 0.0 0.0 0.0 12.0 16.0 5.0 0.0 0.0 0.0 0.0 0.0 14.0 16.0 6.0 0.0 0.0 0.0 0.0 0.0 9.0 16.0 8.0 0.0 0.0 0.0 0.0 0.0 2.0 11.0 13.0 1.0 0.0 0.0 1
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1790 0.0 0.0 5.0 12.0 8.0 0.0 1.0 0.0 0.0 0.0 11.0 16.0 5.0 13.0 6.0 0.0 0.0 0.0 2.0 15.0 16.0 12.0 1.0 0.0 0.0 0.0 0.0 10.0 16.0 6.0 0.0 0.0 0.0 0.0 1.0 15.0 16.0 7.0 0.0 0.0 0.0 0.0 8.0 16.0 16.0 11.0 0.0 0.0 0.0 0.0 11.0 16.0 16.0 9.0 0.0 0.0 0.0 0.0 6.0 12.0 12.0 3.0 0.0 0.0 8
1791 0.0 0.0 0.0 3.0 15.0 4.0 0.0 0.0 0.0 0.0 4.0 16.0 12.0 0.0 0.0 0.0 0.0 0.0 12.0 15.0 3.0 4.0 3.0 0.0 0.0 7.0 16.0 5.0 3.0 15.0 8.0 0.0 0.0 13.0 16.0 13.0 15.0 16.0 2.0 0.0 0.0 12.0 16.0 16.0 16.0 13.0 0.0 0.0 0.0 0.0 4.0 5.0 16.0 8.0 0.0 0.0 0.0 0.0 0.0 1.0 16.0 4.0 0.0 0.0 4
1792 0.0 0.0 4.0 10.0 13.0 6.0 0.0 0.0 0.0 1.0 16.0 14.0 12.0 16.0 3.0 0.0 0.0 4.0 16.0 6.0 3.0 16.0 4.0 0.0 0.0 0.0 12.0 16.0 16.0 16.0 5.0 0.0 0.0 0.0 0.0 4.0 4.0 16.0 8.0 0.0 0.0 0.0 0.0 0.0 0.0 15.0 5.0 0.0 0.0 0.0 5.0 7.0 7.0 16.0 4.0 0.0 0.0 0.0 2.0 14.0 15.0 9.0 0.0 0.0 9
1793 0.0 0.0 6.0 16.0 13.0 11.0 1.0 0.0 0.0 0.0 16.0 15.0 12.0 16.0 1.0 0.0 0.0 3.0 16.0 7.0 0.0 13.0 6.0 0.0 0.0 4.0 16.0 0.0 0.0 10.0 8.0 0.0 0.0 8.0 16.0 0.0 0.0 14.0 6.0 0.0 0.0 5.0 16.0 7.0 9.0 16.0 5.0 0.0 0.0 1.0 15.0 16.0 16.0 16.0 1.0 0.0 0.0 0.0 6.0 16.0 14.0 6.0 0.0 0.0 0
1794 0.0 0.0 1.0 11.0 15.0 1.0 0.0 0.0 0.0 0.0 13.0 16.0 8.0 2.0 1.0 0.0 0.0 0.0 16.0 15.0 10.0 16.0 5.0 0.0 0.0 0.0 8.0 16.0 16.0 7.0 0.0 0.0 0.0 0.0 9.0 16.0 16.0 4.0 0.0 0.0 0.0 0.0 16.0 14.0 16.0 15.0 0.0 0.0 0.0 0.0 15.0 15.0 15.0 16.0 0.0 0.0 0.0 0.0 2.0 9.0 13.0 6.0 0.0 0.0 8
1795 0.0 0.0 2.0 10.0 7.0 0.0 0.0 0.0 0.0 0.0 14.0 16.0 16.0 15.0 1.0 0.0 0.0 4.0 16.0 7.0 3.0 16.0 7.0 0.0 0.0 5.0 16.0 10.0 7.0 16.0 4.0 0.0 0.0 0.0 5.0 14.0 14.0 16.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 16.0 2.0 0.0 0.0 0.0 4.0 7.0 7.0 16.0 2.0 0.0 0.0 0.0 5.0 12.0 16.0 12.0 0.0 0.0 9
1796 0.0 0.0 10.0 14.0 8.0 1.0 0.0 0.0 0.0 2.0 16.0 14.0 6.0 1.0 0.0 0.0 0.0 0.0 15.0 15.0 8.0 15.0 0.0 0.0 0.0 0.0 5.0 16.0 16.0 10.0 0.0 0.0 0.0 0.0 12.0 15.0 15.0 12.0 0.0 0.0 0.0 4.0 16.0 6.0 4.0 16.0 6.0 0.0 0.0 8.0 16.0 10.0 8.0 16.0 8.0 0.0 0.0 1.0 8.0 12.0 14.0 12.0 1.0 0.0 8
In [8]:
X = data.frame.drop(columns="target")
y = data.frame.target
X.shape, y.shape
Out[8]:
((1797, 64), (1797,))
In [9]:
eda.update_param("description", "Classify 10 handwritten digits from 8x8 images")
eda.update_param("n features", X.shape[1])
eda.update_param("n samples", X.shape[0])
eda.update_param("f/n ratio", len(data.target_names) / X.shape[0])
In [10]:
eda.summary_df
Out[10]:
description n features n samples f/n ratio noise stats class balance outliers skewness correlations DR potential
dataset
digits Classify 10 handwritten digits from 8x8 images 64 1797 0.005565 NaN NaN NaN NaN NaN NaN NaN

Noise

In [11]:
# check for missing values
X.isna().sum().sum()
Out[11]:
np.int64(0)
In [12]:
eda.update_param("noise", "None, no missing vals")

Stats

In [14]:
skewness = X.skew()
summary_stats = X.describe().T
summary_stats["skewness"] = skewness
disp_df(summary_stats[["min", "max", "mean", "std", "skewness", "25%", "50%", "75%"]])
min max mean std skewness 25% 50% 75%
pixel_0_0 0.0 0.0 0.000000 0.000000 0.000000 0.0 0.0 0.0
pixel_0_1 0.0 8.0 0.303840 0.907192 4.004889 0.0 0.0 0.0
pixel_0_2 0.0 16.0 5.204786 4.754826 0.596168 1.0 4.0 9.0
pixel_0_3 0.0 16.0 11.835838 4.248842 -1.244673 10.0 13.0 15.0
pixel_0_4 0.0 16.0 11.848080 4.287388 -1.135533 10.0 13.0 15.0
pixel_0_5 0.0 16.0 5.781859 5.666418 0.545765 0.0 4.0 11.0
pixel_0_6 0.0 16.0 1.362270 3.325775 2.850641 0.0 0.0 0.0
pixel_0_7 0.0 15.0 0.129661 1.037383 9.927680 0.0 0.0 0.0
pixel_1_0 0.0 2.0 0.005565 0.094222 18.481248 0.0 0.0 0.0
pixel_1_1 0.0 16.0 1.993879 3.196160 1.719178 0.0 0.0 3.0
pixel_1_2 0.0 16.0 10.382304 5.421456 -0.680590 6.0 12.0 15.0
pixel_1_3 0.0 16.0 11.979410 3.977543 -0.890948 9.0 13.0 16.0
pixel_1_4 0.0 16.0 10.279354 4.782681 -0.476823 7.0 11.0 15.0
pixel_1_5 0.0 16.0 8.175849 6.052960 -0.115211 2.0 9.0 14.0
pixel_1_6 0.0 16.0 1.846411 3.586321 2.245839 0.0 0.0 2.0
pixel_1_7 0.0 12.0 0.107958 0.827915 9.538617 0.0 0.0 0.0
pixel_2_0 0.0 2.0 0.002782 0.062368 25.140181 0.0 0.0 0.0
pixel_2_1 0.0 16.0 2.601558 3.576301 1.433840 0.0 1.0 4.0
pixel_2_2 0.0 16.0 9.903172 5.690767 -0.583547 5.0 12.0 15.0
pixel_2_3 0.0 16.0 6.992766 5.802662 0.269101 1.0 6.0 12.0
pixel_2_4 0.0 16.0 7.097941 6.175729 0.213040 1.0 6.0 13.0
pixel_2_5 0.0 16.0 7.806344 6.197322 -0.072993 0.0 8.0 14.0
pixel_2_6 0.0 16.0 1.788536 3.259870 2.233989 0.0 0.0 3.0
pixel_2_7 0.0 8.0 0.050083 0.438597 10.873586 0.0 0.0 0.0
pixel_3_0 0.0 1.0 0.001113 0.033352 29.949930 0.0 0.0 0.0
pixel_3_1 0.0 15.0 2.469672 3.146532 1.156119 0.0 1.0 4.0
pixel_3_2 0.0 16.0 9.091263 6.192038 -0.324785 3.0 11.0 15.0
pixel_3_3 0.0 16.0 8.821369 5.882936 -0.226179 3.0 10.0 15.0
pixel_3_4 0.0 16.0 9.927101 6.152093 -0.586189 4.0 12.0 16.0
pixel_3_5 0.0 16.0 7.551475 5.872556 0.078856 1.0 7.0 13.0
pixel_3_6 0.0 15.0 2.317752 3.686456 1.539352 0.0 0.0 4.0
pixel_3_7 0.0 1.0 0.002226 0.047140 21.142335 0.0 0.0 0.0
pixel_4_0 0.0 0.0 0.000000 0.000000 0.000000 0.0 0.0 0.0
pixel_4_1 0.0 14.0 2.339455 3.480372 1.405657 0.0 0.0 4.0
pixel_4_2 0.0 16.0 7.667223 6.324687 0.040904 0.0 8.0 14.0
pixel_4_3 0.0 16.0 9.071786 6.268391 -0.293173 3.0 10.0 16.0
pixel_4_4 0.0 16.0 10.301614 5.933490 -0.687936 6.0 13.0 16.0
pixel_4_5 0.0 16.0 8.744018 5.870648 -0.270251 3.0 10.0 14.0
pixel_4_6 0.0 14.0 2.909293 3.537283 0.863270 0.0 1.0 6.0
pixel_4_7 0.0 0.0 0.000000 0.000000 0.000000 0.0 0.0 0.0
pixel_5_0 0.0 4.0 0.008904 0.145185 20.215399 0.0 0.0 0.0
pixel_5_1 0.0 16.0 1.583751 2.981816 2.403075 0.0 0.0 2.0
pixel_5_2 0.0 16.0 6.881469 6.537955 0.211559 0.0 6.0 14.0
pixel_5_3 0.0 16.0 7.228158 6.441378 0.129041 0.0 7.0 14.0
pixel_5_4 0.0 16.0 7.672231 6.259511 0.052772 1.0 8.0 14.0
pixel_5_5 0.0 16.0 8.236505 5.695527 -0.197848 3.0 9.0 13.0
pixel_5_6 0.0 16.0 3.456316 4.330951 1.004381 0.0 1.0 7.0
pixel_5_7 0.0 6.0 0.027268 0.307356 14.611190 0.0 0.0 0.0
pixel_6_0 0.0 8.0 0.007234 0.204223 35.298155 0.0 0.0 0.0
pixel_6_1 0.0 16.0 0.704508 1.746153 3.734698 0.0 0.0 0.0
pixel_6_2 0.0 16.0 7.506956 5.644496 0.009606 2.0 8.0 13.0
pixel_6_3 0.0 16.0 9.539232 5.226948 -0.361675 5.0 10.0 14.0
pixel_6_4 0.0 16.0 9.416249 5.302048 -0.300945 5.0 10.0 15.0
pixel_6_5 0.0 16.0 8.758486 6.031154 -0.302966 2.0 10.0 15.0
pixel_6_6 0.0 16.0 3.725097 4.919406 1.096060 0.0 1.0 7.0
pixel_6_7 0.0 13.0 0.206455 0.984401 6.382822 0.0 0.0 0.0
pixel_7_0 0.0 1.0 0.000556 0.023590 42.391037 0.0 0.0 0.0
pixel_7_1 0.0 9.0 0.279354 0.934302 4.560714 0.0 0.0 0.0
pixel_7_2 0.0 16.0 5.557596 5.103019 0.568767 1.0 4.0 10.0
pixel_7_3 0.0 16.0 12.089037 4.374694 -1.338977 11.0 13.0 16.0
pixel_7_4 0.0 16.0 11.809126 4.933947 -1.210456 10.0 14.0 16.0
pixel_7_5 0.0 16.0 6.764051 5.900623 0.241071 0.0 6.0 12.0
pixel_7_6 0.0 16.0 2.067891 4.090548 2.178778 0.0 0.0 2.0
pixel_7_7 0.0 16.0 0.364496 1.860122 6.076762 0.0 0.0 0.0
In [15]:
fig, ax = plot_feature_statistics(X, X.columns, line=False)
fig.savefig(f"{FIGS_DIR}/{eda.name}_feature-statistics.png")
In [16]:
eda.update_param("skewness", "many highly skewed features")
eda.update_param("stats", "high variation among features")
eda.update_param("outliers", "many outliers in many features")
In [18]:
# class distribution of whole dataset
ax = sns.countplot(x=data.target_names[y])
plt.title(f"Target Class Distribution ({eda.name})")
plt.xlabel("Class")
plt.ylabel("Count")

# Annotate each bar with the count
for p in ax.patches:
    height = p.get_height()
    ax.annotate(
        f"{height}",
        (p.get_x() + p.get_width() / 2.0, height),
        ha="center",
        va="center",
        xytext=(0, 5),
        textcoords="offset points",
    )

plt.savefig(f"{FIGS_DIR}/{eda.name}_target-class-distribution.png")
plt.show()
In [19]:
eda.update_param("class balance", "~Balanced")

Feature Correlations

In [20]:
# WAY TOO MANY FEATURES TO DO THIS (can do but takes ~2mins and is not very informative)
# df = data.frame.copy()
# df["target"] = data.target_names[y]
# # df.head(5)
# sns.pairplot(data=df, hue="target", palette="bright")
# plt.savefig(f"{FIGS_DIR}/{eda.name}_pairplot.png")
In [21]:
# Create a heatmap of the correlation matrix
plt.figure(figsize=(12, 8))
sns.heatmap(X.corr(), annot=True, cmap="coolwarm", fmt=".2f")
plt.title(f"Correlation Matrix ({eda.name})")

plt.savefig(f"{FIGS_DIR}/{eda.name}_correlation-matrix.png")
plt.show()
In [23]:
eda.update_param(
    "correlations", "strong stripy diagonal cors, some off-diagonal but most weak"
)

Dimensionality Reduction Potential

In [24]:
# PCA - number of components to explain 95% variance
pca_pipe = Pipeline(
    [
        ("scaler", StandardScaler()),
        ("pca", PCA()),
    ]
)
pca_pipe.fit(X)
Out[24]:
Pipeline(steps=[('scaler', StandardScaler()), ('pca', PCA())])
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
In [25]:
explained_variance_ratio = pca_pipe.named_steps["pca"].explained_variance_ratio_
cumulative_explained_variance = np.cumsum(explained_variance_ratio)

plt.figure(figsize=(8, 6))
plt.plot(cumulative_explained_variance, marker="o", linestyle="--")
plt.xlabel("Number of Principal Components")
plt.ylabel("Cumulative Explained Variance")
plt.title(f"PCA - Cumulative Explained Variance ({eda.name})")
plt.axhline(y=0.95, color="r", linestyle="--")  # Threshold for 95% explained variance
plt.show()

# Number of components to explain 95% variance
num_components_95 = np.argmax(cumulative_explained_variance >= 0.95) + 1
print(f"Number of components to explain 95% of the variance: {num_components_95}")
Number of components to explain 95% of the variance: 40
In [26]:
# ICA - number of independent components
ica_pipe = Pipeline(
    [
        ("scaler", StandardScaler()),
        ("ica", FastICA()),
    ]
)
components = ica_pipe.fit_transform(X)

# Number of independent components
num_independent_components = components.shape[1]
print(f"Number of independent components found: {num_independent_components}")
Number of independent components found: 64
/Users/yarik/vc_projects/ML/ml-prep/.venv/lib/python3.12/site-packages/sklearn/decomposition/_fastica.py:128: ConvergenceWarning: FastICA did not converge. Consider increasing tolerance or the maximum number of iterations.
  warnings.warn(
In [28]:
eda.update_param(
    "DR potential",
    "PCA: 95% variance explained with 40 components; ICA: 64 independent components",
)

Save EDA results

In [29]:
eda.save()
Loading 'edas.csv'
Saving digits to results/edas.csv

Create and save a shuffled 80/20 train/test split



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