# To install this library in Jupyter notebook
#import sys
#!{sys.executable} -m pip install numpy
import numpy as np
np.__version__ , np.__path__
('1.19.5', ['/Library/Frameworks/Python.framework/Versions/3.8/lib/python3.8/site-packages/numpy'])
The np.loadtxt()
is used to load data from a text file. Each row in the text file must have the same number of values.
np.loadtxt(fname, dtype=’float’, delimiter=None, skiprows=0, comments='#')
The np.genfromtxt()
is more powerful and we will use this to read data into numPy arrays.
np.genfromtxt(fname,dtype=’float’,delimiter=None,skip_header=0,comments='#',missing_values=None,filling_values=None)
Example 1: Read data from a simple text file containing space separated numbers in a single line.
!cat datasets/data0.txt
3 9 12 22 45 91 33 61 12 19 62 29 64 31
import numpy as np
# The only required argument is name of file, and by default the numbers are casted to float data type
arr = np.genfromtxt("datasets/data0.txt")
print("data:\n", arr)
print("shape: ", arr.shape)
data: [ 3. 9. 12. 22. 45. 91. 33. 61. 12. 19. 62. 29. 64. 31.] shape: (14,)
Example 2: Read data from a simple text file containing space separated numbers in multiple lines. The count of numbers on each line must be same
!cat datasets/data1.txt
12 19 62 9 33 61 22 45 91 29 64 31
# The only required argument is name of file, and by default the numbers are casted to float data type
arr = np.genfromtxt("datasets/data1.txt")
print("data:\n", arr)
print("shape: ", arr.shape)
data: [[12. 19. 62.] [ 9. 33. 61.] [22. 45. 91.] [29. 64. 31.]] shape: (4, 3)
# You can read the numbers as integers, by mentioning the dtype argument
arr = np.genfromtxt("datasets/data1.txt", dtype=np.uint8)
print("data:\n", arr)
print("shape: ", arr.shape)
data: [[12 19 62] [ 9 33 61] [22 45 91] [29 64 31]] shape: (4, 3)
Example 3: Read data from a csv text file containing comma separated numbers. By default, the genfromtxt()
expect a space as separator. So here, we need to pass ,
as the delimiter argument
!cat datasets/icecreamsales_simple.csv
40,320
arr = np.genfromtxt("datasets/icecreamsales_simple.csv", dtype=np.int16, delimiter=',')
print("data:\n", arr)
print(arr.shape)
data: [[ 37 292] [ 40 228] [ 49 324] [ 61 376] [ 72 440] [ 79 496] [ 83 536] [ 81 556] [ 75 496] [ 64 412] [ 53 324] [ 40 320]] (12, 2)
Example 4: By default the genfromtxt()
method assume that no column labels are there in the first line. However, if the first row of file contains column labels, we need to use skip_header argument
!cat datasets/icecreamsales_withheader.csv
40,320
import numpy as np
arr = np.genfromtxt("datasets/icecreamsales_withheader.csv", dtype=np.int16, delimiter=',', skip_header=1)
print("data:\n", arr)
print(arr.shape)
data: [[ 37 292] [ 40 228] [ 49 324] [ 61 376] [ 72 440] [ 79 496] [ 83 536] [ 81 556] [ 75 496] [ 64 412] [ 53 324] [ 40 320]] (12, 2)
Example 5: If the file has comments in the beginning, in between or at the end, you will get an error. To handle this, you need to pass the appropriate character that is used for start of comment to the comment argument
! cat datasets/icecreamsales_withcomments.csv
72,440 40,320 #This is comment
arr = np.genfromtxt("datasets/icecreamsales_withcomments.csv", dtype=np.int16, delimiter=',', comments='#')
print("data:\n", arr)
print(arr.shape)
data: [[ 37 292] [ 40 228] [ 49 324] [ 61 376] [ 72 440] [ 79 496] [ 83 536] [ 81 556] [ 75 496] [ 64 412] [ 53 324] [ 40 320]] (12, 2)
The np.savetxt()
is used to save a NumPy array to a text file.
np.savetxt(fname, arr, fmt='%.18e', delimiter=' ', newline='\n', header='', footer='', comments='#')
fname
: If the filename ends in .gz
, the file is automatically saved in compressed gzip format.arr
: 1-D or 2-D array to be saved to a text file.fmt
: str or sequence of strs, optional.delimiter
: String or character separating columns (default is space).newline
: String or character separating lines (default is newline).header
: A String that will be written at the beginning of the file (default is none).footer
: A String that will be written at the end of the file (Default is none).comments
: A string that will be prepended to the header
and footer
strings, to mark them comments.
- The
np.save()
saves an array to a binary file in NumPy .npy format- The
np.savez()
saves several arrays into an uncompressed .npz archive- The
np.savez_compressed()
save several arrays into a compressed .npz archive
Example 1: Create a NumPy array and then save it as a text file (space separated numbers in each row). Finally verify by reading the file contents into a numPy array
arr1 = np.array([[1.5, 2.3, 3.7], [4.0, 5.2, 6.8],[7.1, 8.4, 9.3]])
np.savetxt('datasets/myarr.txt', arr1, fmt='%.2f')
!cat datasets/myarr.txt
1.50 2.30 3.70 4.00 5.20 6.80 7.10 8.40 9.30
arr2 = np.genfromtxt("datasets/myarr.txt")
arr2
array([[1.5, 2.3, 3.7], [4. , 5.2, 6.8], [7.1, 8.4, 9.3]])
Example 2: Create a NumPy array and then save it as a csv file. Finally verify by reading the file contents into a numPy array
arr1 = np.array([[1.5, 2.3, 3.7], [4.0, 5.2, 6.8],[7.1, 8.4, 9.3]])
np.savetxt('datasets/myarr.csv', arr1, fmt='%.2f', delimiter=',')
! cat datasets/myarr.csv
1.50,2.30,3.70 4.00,5.20,6.80 7.10,8.40,9.30
arr2 = np.genfromtxt("datasets/myarr.csv", usecols=[0, 1], delimiter=',')
arr2
array([[1.5, 2.3], [4. , 5.2], [7.1, 8.4]])
Visit https://gist.github.com/arifpucit
and get the URL of public climate.csv
file from this public GitHub gist, which contains 10,000 climate measurements (temperature, rainfall & humidity) in the following format:
temperature,rainfall,humidity
25.00,76.00,99.00
39.00,65.00,70.00
59.00,45.00,77.00
84.00,63.00,38.00
66.00,50.00,52.00
41.00,94.00,77.00
91.00,57.00,96.00
49.00,96.00,99.00
67.00,20.00,28.00
...
Download the file and then read its data and compute the average of temperature, rainfall, and humidity values
urllib.request.urlretrieve(url, filename=None)
method is used to retrieve a remote file into a temporary location on disk.climate.csv
above mentioned github gistThe
urllib.request.urlopen()
, may return a URLError sayingSSL: CERTIFICATE_VERIFY_FAILED
. To handle this error set the_create_default_https_context
attribute ofssl
to_create_unverified_context
import ssl
ssl._create_default_https_context = ssl._create_unverified_context
import urllib
#Get the raw data url from your github gist account of a csv file named climate.csv
myurl = 'https://gist.githubusercontent.com/arifpucit/6e2d95002460db296506ec6f0cfb7008/raw/dae54a4e20d34e4b9622333fcccf04c441a250b7/climate.csv'
# Pass the url string and the path, where to save the file on local disk
urllib.request.urlretrieve(myurl, 'datasets/climate.csv')
('datasets/climate.csv', <http.client.HTTPMessage at 0x7fed675f0d00>)
! cat datasets/climate.csv
temperature,rainfall,humidity 25.00,76.00,99.00 39.00,65.00,70.00 59.00,45.00,77.00 84.00,63.00,38.00 66.00,50.00,52.00 41.00,94.00,77.00 91.00,57.00,96.00 49.00,96.00,99.00 67.00,20.00,28.00 85.00,31.00,95.00 78.00,46.00,34.00 31.00,40.00,63.00 52.00,77.00,85.00 28.00,66.00,77.00 32.00,50.00,57.00 31.00,79.00,53.00 45.00,76.00,48.00 80.00,52.00,27.00 24.00,45.00,90.00 20.00,89.00,84.00 32.00,20.00,96.00 56.00,44.00,74.00 93.00,70.00,80.00 62.00,87.00,73.00 85.00,48.00,90.00 87.00,86.00,93.00 43.00,57.00,69.00 28.00,71.00,44.00 44.00,95.00,58.00 88.00,48.00,46.00 80.00,50.00,38.00 27.00,75.00,89.00 93.00,61.00,73.00 31.00,87.00,62.00 38.00,94.00,44.00 55.00,93.00,55.00 56.00,22.00,47.00 38.00,64.00,79.00 26.00,22.00,40.00 27.00,98.00,24.00 55.00,37.00,38.00 63.00,69.00,46.00 21.00,34.00,21.00 31.00,89.00,85.00 45.00,69.00,91.00 48.00,86.00,77.00 27.00,51.00,27.00 40.00,47.00,88.00 29.00,45.00,69.00 35.00,55.00,85.00 62.00,43.00,58.00 67.00,95.00,54.00 35.00,46.00,55.00 36.00,75.00,28.00 97.00,62.00,87.00 29.00,52.00,25.00 31.00,26.00,72.00 94.00,100.00,59.00 47.00,52.00,76.00 46.00,52.00,70.00 40.00,68.00,72.00 35.00,27.00,84.00 69.00,96.00,29.00 69.00,57.00,52.00 33.00,45.00,71.00 88.00,95.00,82.00 48.00,90.00,69.00 55.00,78.00,66.00 28.00,44.00,67.00 34.00,58.00,27.00 62.00,46.00,89.00 92.00,78.00,89.00 20.00,69.00,70.00 88.00,49.00,65.00 56.00,83.00,36.00 51.00,67.00,54.00 47.00,50.00,71.00 32.00,94.00,71.00 33.00,21.00,96.00 100.00,81.00,69.00 31.00,58.00,22.00 74.00,96.00,33.00 79.00,98.00,99.00 49.00,76.00,38.00 78.00,51.00,79.00 28.00,51.00,62.00 43.00,49.00,55.00 73.00,62.00,50.00 41.00,59.00,78.00 44.00,31.00,52.00 29.00,97.00,29.00 38.00,75.00,60.00 68.00,60.00,29.00 46.00,71.00,37.00 44.00,39.00,49.00 25.00,78.00,31.00 52.00,84.00,47.00 20.00,98.00,71.00 99.00,47.00,67.00 68.00,83.00,94.00 38.00,90.00,20.00 99.00,67.00,43.00 53.00,71.00,39.00 85.00,30.00,49.00 90.00,20.00,43.00 62.00,67.00,38.00 81.00,81.00,78.00 23.00,69.00,65.00 86.00,66.00,22.00 58.00,89.00,76.00 28.00,51.00,88.00 98.00,33.00,76.00 41.00,22.00,84.00 52.00,69.00,60.00 46.00,68.00,38.00 87.00,35.00,54.00 37.00,76.00,74.00 86.00,80.00,40.00 57.00,86.00,45.00 31.00,94.00,87.00 45.00,31.00,46.00 26.00,20.00,31.00 56.00,36.00,68.00 96.00,96.00,48.00 35.00,57.00,23.00 51.00,28.00,78.00 44.00,40.00,78.00 69.00,44.00,78.00 52.00,29.00,84.00 49.00,91.00,85.00 44.00,45.00,51.00 92.00,48.00,78.00 37.00,30.00,42.00 62.00,34.00,59.00 66.00,71.00,61.00 100.00,77.00,20.00 95.00,30.00,25.00 86.00,45.00,100.00 70.00,60.00,99.00 37.00,36.00,55.00 50.00,33.00,26.00 33.00,40.00,64.00 86.00,98.00,25.00 57.00,75.00,21.00 53.00,24.00,73.00 34.00,78.00,23.00 55.00,45.00,42.00 89.00,84.00,82.00 68.00,47.00,84.00 48.00,87.00,38.00 45.00,67.00,67.00 44.00,29.00,77.00 79.00,72.00,58.00 31.00,70.00,96.00 31.00,73.00,49.00 92.00,56.00,85.00 69.00,60.00,85.00 66.00,26.00,35.00 94.00,81.00,79.00 29.00,71.00,65.00 23.00,97.00,21.00 74.00,64.00,85.00 39.00,86.00,76.00 22.00,83.00,52.00 32.00,21.00,59.00 37.00,87.00,61.00 29.00,85.00,64.00 94.00,72.00,48.00 85.00,83.00,73.00 48.00,65.00,25.00 50.00,91.00,77.00 23.00,36.00,40.00 46.00,72.00,51.00 90.00,68.00,95.00 47.00,58.00,32.00 80.00,85.00,85.00 73.00,76.00,36.00 26.00,89.00,95.00 84.00,27.00,37.00 55.00,37.00,57.00 41.00,97.00,59.00 30.00,21.00,41.00 24.00,62.00,32.00 73.00,58.00,73.00 57.00,82.00,67.00 66.00,30.00,60.00 36.00,87.00,41.00 96.00,25.00,86.00 45.00,89.00,20.00 46.00,72.00,64.00 77.00,77.00,75.00 29.00,65.00,62.00 80.00,44.00,90.00 43.00,25.00,94.00 55.00,86.00,76.00 45.00,53.00,77.00 35.00,85.00,38.00 63.00,38.00,22.00 36.00,87.00,59.00 92.00,22.00,32.00 100.00,58.00,90.00 31.00,98.00,78.00 86.00,21.00,82.00 35.00,56.00,60.00 63.00,37.00,81.00 45.00,89.00,80.00 43.00,59.00,61.00 40.00,47.00,54.00 83.00,35.00,68.00 89.00,75.00,55.00 80.00,52.00,91.00 100.00,34.00,60.00 84.00,61.00,31.00 72.00,46.00,45.00 95.00,29.00,77.00 81.00,36.00,28.00 55.00,65.00,29.00 60.00,35.00,40.00 48.00,76.00,85.00 82.00,91.00,95.00 48.00,24.00,45.00 98.00,42.00,28.00 76.00,81.00,31.00 93.00,91.00,88.00 84.00,48.00,57.00 73.00,48.00,64.00 55.00,37.00,46.00 74.00,92.00,90.00 23.00,44.00,90.00 52.00,86.00,41.00 76.00,79.00,25.00 51.00,22.00,86.00 25.00,77.00,78.00 94.00,65.00,74.00 39.00,32.00,29.00 87.00,86.00,100.00 51.00,70.00,29.00 40.00,40.00,75.00 37.00,55.00,69.00 57.00,28.00,25.00 65.00,63.00,51.00 42.00,77.00,71.00 64.00,83.00,72.00 61.00,80.00,36.00 98.00,89.00,50.00 66.00,86.00,77.00 35.00,76.00,96.00 30.00,57.00,38.00 38.00,97.00,98.00 100.00,73.00,22.00 20.00,97.00,79.00 51.00,66.00,100.00 33.00,62.00,31.00 58.00,41.00,37.00 35.00,95.00,25.00 77.00,34.00,64.00 49.00,48.00,86.00 61.00,28.00,55.00 27.00,55.00,86.00 67.00,69.00,23.00 55.00,79.00,79.00 25.00,98.00,72.00 27.00,60.00,40.00 40.00,93.00,82.00 33.00,58.00,75.00 85.00,95.00,73.00 79.00,50.00,47.00 79.00,21.00,22.00 39.00,22.00,76.00 25.00,85.00,78.00 81.00,96.00,63.00 90.00,76.00,61.00 58.00,31.00,27.00 49.00,40.00,34.00 60.00,35.00,43.00 63.00,85.00,56.00 28.00,32.00,28.00 46.00,54.00,57.00 36.00,52.00,96.00 82.00,74.00,44.00 48.00,35.00,35.00 96.00,30.00,25.00 65.00,83.00,77.00 80.00,63.00,51.00 85.00,96.00,78.00 83.00,42.00,83.00 84.00,25.00,72.00 54.00,60.00,80.00 62.00,70.00,97.00 79.00,63.00,57.00 58.00,81.00,43.00 30.00,40.00,72.00 86.00,89.00,23.00 80.00,35.00,49.00 69.00,60.00,85.00 42.00,48.00,94.00 36.00,99.00,49.00 58.00,98.00,22.00 56.00,90.00,91.00 57.00,95.00,88.00 21.00,30.00,30.00 80.00,86.00,80.00 21.00,80.00,83.00 92.00,28.00,89.00 78.00,51.00,29.00 38.00,32.00,36.00 90.00,81.00,58.00 56.00,30.00,72.00 44.00,26.00,21.00 68.00,99.00,35.00 55.00,24.00,63.00 45.00,27.00,45.00 30.00,28.00,51.00 71.00,65.00,45.00 52.00,76.00,22.00 68.00,40.00,86.00 76.00,35.00,57.00 60.00,70.00,32.00 41.00,59.00,21.00 83.00,40.00,21.00 99.00,61.00,53.00 71.00,72.00,95.00 49.00,68.00,86.00 21.00,96.00,79.00 47.00,31.00,51.00 90.00,69.00,100.00 34.00,71.00,26.00 68.00,81.00,71.00 22.00,33.00,64.00 54.00,61.00,35.00 67.00,41.00,45.00 94.00,81.00,20.00 91.00,99.00,66.00 57.00,25.00,95.00 38.00,66.00,65.00 73.00,47.00,45.00 83.00,52.00,54.00 41.00,36.00,44.00 88.00,82.00,27.00 43.00,47.00,28.00 23.00,24.00,94.00 26.00,98.00,31.00 81.00,44.00,24.00 53.00,96.00,72.00 30.00,84.00,91.00 29.00,42.00,41.00 61.00,27.00,66.00 47.00,82.00,24.00 25.00,63.00,98.00 54.00,65.00,73.00 54.00,79.00,71.00 98.00,78.00,94.00 35.00,41.00,53.00 56.00,22.00,26.00 86.00,30.00,99.00 76.00,23.00,96.00 64.00,90.00,80.00 42.00,99.00,46.00 47.00,66.00,31.00 72.00,78.00,73.00 34.00,33.00,99.00 67.00,74.00,51.00 64.00,94.00,35.00 42.00,87.00,52.00 89.00,81.00,74.00 92.00,90.00,93.00 86.00,64.00,99.00 76.00,20.00,68.00 95.00,69.00,42.00 53.00,77.00,46.00 45.00,34.00,83.00 54.00,66.00,30.00 36.00,34.00,25.00 65.00,96.00,23.00 78.00,93.00,95.00 50.00,35.00,66.00 94.00,35.00,67.00 77.00,76.00,57.00 95.00,61.00,66.00 99.00,96.00,97.00 20.00,28.00,37.00 70.00,25.00,34.00 20.00,74.00,57.00 26.00,39.00,53.00 65.00,74.00,93.00 54.00,83.00,98.00 26.00,25.00,88.00 69.00,80.00,41.00 41.00,75.00,93.00 68.00,64.00,99.00 88.00,66.00,90.00 81.00,88.00,39.00 65.00,34.00,32.00 85.00,59.00,38.00 34.00,83.00,67.00 92.00,22.00,47.00 92.00,59.00,78.00 72.00,25.00,66.00 94.00,68.00,25.00 65.00,82.00,91.00 65.00,96.00,48.00 29.00,54.00,24.00 68.00,52.00,60.00 57.00,71.00,85.00 72.00,95.00,52.00 39.00,21.00,27.00 39.00,54.00,37.00 77.00,32.00,45.00 89.00,88.00,45.00 36.00,97.00,21.00 26.00,78.00,46.00 73.00,96.00,87.00 23.00,45.00,72.00 69.00,43.00,34.00 85.00,55.00,96.00 81.00,97.00,75.00 68.00,72.00,85.00 21.00,22.00,64.00 50.00,22.00,95.00 53.00,93.00,28.00 85.00,100.00,32.00 56.00,58.00,47.00 42.00,61.00,44.00 56.00,82.00,38.00 96.00,43.00,59.00 46.00,75.00,56.00 76.00,21.00,71.00 89.00,72.00,32.00 45.00,72.00,90.00 47.00,95.00,79.00 98.00,50.00,31.00 69.00,32.00,54.00 49.00,32.00,59.00 76.00,48.00,64.00 76.00,51.00,62.00 34.00,71.00,49.00 71.00,34.00,83.00 22.00,48.00,86.00 84.00,78.00,73.00 24.00,93.00,24.00 37.00,81.00,82.00 49.00,77.00,82.00 88.00,72.00,97.00 32.00,46.00,80.00 82.00,85.00,63.00 39.00,45.00,99.00 37.00,92.00,26.00 99.00,26.00,94.00 60.00,85.00,29.00 75.00,93.00,78.00 34.00,40.00,42.00 81.00,52.00,33.00 70.00,44.00,91.00 88.00,55.00,96.00 42.00,51.00,25.00 26.00,57.00,29.00 74.00,68.00,70.00 37.00,63.00,79.00 48.00,73.00,22.00 97.00,92.00,59.00 99.00,62.00,96.00 24.00,75.00,60.00 52.00,80.00,36.00 29.00,75.00,92.00 47.00,39.00,74.00 34.00,35.00,86.00 52.00,51.00,25.00 93.00,42.00,78.00 81.00,100.00,45.00 100.00,80.00,26.00 63.00,48.00,61.00 48.00,51.00,47.00 27.00,73.00,78.00 60.00,98.00,95.00 78.00,79.00,22.00 99.00,30.00,42.00 91.00,27.00,71.00 85.00,95.00,20.00 51.00,90.00,39.00 37.00,67.00,96.00 46.00,94.00,24.00 51.00,99.00,37.00 76.00,39.00,63.00 74.00,70.00,20.00 53.00,88.00,26.00 95.00,69.00,90.00 64.00,38.00,64.00 68.00,88.00,22.00 79.00,55.00,66.00 87.00,39.00,63.00 85.00,100.00,90.00 84.00,40.00,52.00 55.00,70.00,48.00 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83.00,43.00,83.00 96.00,42.00,55.00 76.00,92.00,43.00 52.00,48.00,100.00 94.00,86.00,62.00 61.00,93.00,85.00 24.00,26.00,54.00 92.00,46.00,46.00 72.00,73.00,93.00 29.00,84.00,87.00 68.00,62.00,38.00 65.00,26.00,25.00 25.00,74.00,89.00 39.00,51.00,38.00 26.00,94.00,65.00 54.00,41.00,91.00 47.00,56.00,94.00 21.00,39.00,82.00 66.00,72.00,74.00 79.00,57.00,77.00 37.00,23.00,97.00 90.00,81.00,27.00 51.00,23.00,77.00 58.00,37.00,23.00 26.00,96.00,81.00 35.00,86.00,41.00 70.00,79.00,28.00 76.00,94.00,97.00 21.00,55.00,54.00 95.00,41.00,45.00 97.00,29.00,98.00 75.00,55.00,33.00 38.00,60.00,98.00 64.00,78.00,34.00 57.00,84.00,68.00 94.00,26.00,35.00 27.00,93.00,48.00 27.00,70.00,30.00 20.00,80.00,75.00 90.00,41.00,74.00 66.00,45.00,43.00 94.00,53.00,94.00 85.00,54.00,51.00 38.00,44.00,59.00 71.00,74.00,95.00 45.00,41.00,21.00 57.00,75.00,60.00 69.00,47.00,100.00 60.00,35.00,91.00 24.00,79.00,24.00 46.00,50.00,57.00 62.00,44.00,74.00 65.00,54.00,95.00 52.00,82.00,52.00 21.00,75.00,81.00 57.00,21.00,31.00 36.00,39.00,44.00 99.00,55.00,71.00 84.00,72.00,43.00 22.00,48.00,55.00 41.00,22.00,88.00 39.00,60.00,29.00 78.00,71.00,100.00 90.00,48.00,69.00 48.00,92.00,89.00 64.00,30.00,73.00 99.00,85.00,50.00 93.00,27.00,78.00 53.00,51.00,60.00 87.00,62.00,89.00 73.00,36.00,32.00 47.00,97.00,23.00 56.00,40.00,81.00 32.00,46.00,93.00 26.00,83.00,76.00 91.00,77.00,46.00 56.00,71.00,54.00 32.00,63.00,83.00 65.00,79.00,99.00 61.00,38.00,30.00 96.00,84.00,71.00 65.00,88.00,67.00 94.00,26.00,82.00 32.00,73.00,86.00 47.00,33.00,90.00 91.00,23.00,54.00 22.00,40.00,25.00 54.00,81.00,85.00 24.00,100.00,41.00 90.00,33.00,69.00 97.00,77.00,40.00 36.00,90.00,25.00 28.00,83.00,56.00 34.00,91.00,99.00 41.00,32.00,47.00 37.00,33.00,44.00 62.00,94.00,84.00 37.00,92.00,79.00 68.00,26.00,30.00 70.00,22.00,23.00 21.00,37.00,50.00 93.00,69.00,48.00 46.00,97.00,38.00 33.00,92.00,70.00 88.00,68.00,35.00 36.00,61.00,78.00 88.00,99.00,94.00 35.00,61.00,28.00 48.00,92.00,58.00 92.00,55.00,88.00 78.00,72.00,33.00 65.00,34.00,88.00 29.00,87.00,86.00 60.00,86.00,21.00 89.00,69.00,40.00 46.00,40.00,50.00 68.00,50.00,66.00 31.00,92.00,28.00 33.00,49.00,48.00 76.00,42.00,90.00 97.00,57.00,77.00 85.00,55.00,72.00 26.00,52.00,22.00 95.00,75.00,51.00 41.00,82.00,99.00 45.00,53.00,92.00 23.00,83.00,35.00 40.00,52.00,35.00 76.00,70.00,60.00 52.00,58.00,55.00 95.00,59.00,39.00 61.00,73.00,20.00 37.00,76.00,98.00 83.00,52.00,42.00 93.00,33.00,23.00 75.00,28.00,35.00 65.00,71.00,29.00 64.00,63.00,91.00 40.00,93.00,40.00 94.00,44.00,62.00 70.00,76.00,51.00 33.00,40.00,22.00 20.00,38.00,40.00 69.00,38.00,67.00 22.00,96.00,54.00 66.00,66.00,27.00 68.00,52.00,68.00 93.00,67.00,78.00 85.00,65.00,91.00 73.00,96.00,57.00 44.00,60.00,83.00 65.00,69.00,33.00 47.00,64.00,41.00 46.00,69.00,41.00 92.00,58.00,37.00 76.00,92.00,35.00 34.00,36.00,45.00 88.00,23.00,93.00 72.00,45.00,68.00 39.00,42.00,87.00 79.00,25.00,53.00 77.00,100.00,96.00 98.00,55.00,67.00 33.00,72.00,20.00 88.00,71.00,24.00 25.00,34.00,73.00 50.00,93.00,67.00 55.00,56.00,51.00 24.00,59.00,69.00 32.00,85.00,49.00 42.00,40.00,26.00 77.00,93.00,81.00 68.00,33.00,62.00 73.00,97.00,86.00 58.00,50.00,64.00 30.00,42.00,68.00 51.00,87.00,87.00 85.00,35.00,88.00 81.00,37.00,87.00 46.00,24.00,46.00 58.00,43.00,85.00 42.00,39.00,24.00 88.00,83.00,88.00 78.00,38.00,100.00 91.00,33.00,38.00 87.00,51.00,33.00 39.00,27.00,95.00 77.00,79.00,52.00 79.00,35.00,29.00 20.00,68.00,84.00 76.00,73.00,65.00 86.00,45.00,27.00 57.00,58.00,26.00 71.00,87.00,35.00 52.00,23.00,75.00 26.00,99.00,26.00 79.00,56.00,46.00 87.00,97.00,63.00 73.00,92.00,28.00 89.00,83.00,96.00 77.00,97.00,64.00 63.00,49.00,24.00 69.00,52.00,45.00 24.00,67.00,73.00 72.00,60.00,61.00 62.00,83.00,69.00 63.00,74.00,21.00 56.00,96.00,39.00 30.00,42.00,63.00 67.00,42.00,80.00 81.00,41.00,23.00 77.00,75.00,21.00 94.00,56.00,45.00 57.00,35.00,21.00 88.00,98.00,90.00 46.00,82.00,69.00 98.00,31.00,44.00 35.00,38.00,38.00 88.00,21.00,52.00 26.00,66.00,35.00 50.00,41.00,94.00 26.00,56.00,81.00 53.00,44.00,24.00 73.00,74.00,78.00 74.00,47.00,20.00 88.00,95.00,48.00 25.00,70.00,72.00 57.00,95.00,77.00 64.00,27.00,44.00 24.00,49.00,86.00 96.00,89.00,38.00 74.00,21.00,35.00 57.00,83.00,63.00 32.00,36.00,36.00 57.00,53.00,94.00 89.00,88.00,81.00 20.00,60.00,81.00 29.00,72.00,43.00 92.00,55.00,46.00 77.00,41.00,28.00 82.00,22.00,57.00 88.00,96.00,82.00 59.00,51.00,28.00 24.00,93.00,67.00 43.00,74.00,58.00 50.00,49.00,33.00 39.00,43.00,56.00 20.00,61.00,21.00 73.00,81.00,28.00 35.00,89.00,48.00 82.00,32.00,28.00 33.00,36.00,95.00 95.00,50.00,36.00 60.00,76.00,81.00 21.00,76.00,88.00 27.00,49.00,64.00 35.00,25.00,88.00 74.00,48.00,58.00 90.00,34.00,24.00 39.00,44.00,67.00 66.00,63.00,67.00 26.00,30.00,21.00 64.00,87.00,42.00 86.00,49.00,38.00 72.00,36.00,94.00 91.00,78.00,79.00 71.00,34.00,42.00 27.00,83.00,94.00 66.00,41.00,31.00 100.00,99.00,58.00 69.00,78.00,35.00 72.00,23.00,69.00 30.00,98.00,89.00 86.00,28.00,62.00 54.00,50.00,52.00 29.00,54.00,38.00 27.00,89.00,36.00 83.00,89.00,45.00 77.00,78.00,81.00 71.00,49.00,20.00 91.00,21.00,26.00 90.00,48.00,51.00 95.00,53.00,79.00 63.00,62.00,93.00 89.00,57.00,60.00 44.00,69.00,61.00 42.00,87.00,88.00 64.00,68.00,66.00 40.00,49.00,59.00 90.00,33.00,46.00 69.00,48.00,39.00 88.00,27.00,79.00 69.00,47.00,82.00 46.00,49.00,71.00 23.00,55.00,78.00 37.00,74.00,65.00 39.00,47.00,83.00 89.00,27.00,93.00 51.00,39.00,95.00 30.00,64.00,27.00 58.00,32.00,65.00 85.00,55.00,56.00 99.00,74.00,99.00 72.00,94.00,65.00 49.00,78.00,32.00 40.00,56.00,30.00 54.00,70.00,36.00 35.00,49.00,92.00 43.00,48.00,73.00 76.00,36.00,60.00 38.00,65.00,32.00 83.00,26.00,40.00 48.00,55.00,41.00 73.00,61.00,54.00 23.00,65.00,33.00 97.00,28.00,67.00 72.00,75.00,76.00 68.00,43.00,33.00 36.00,69.00,41.00 99.00,32.00,48.00 40.00,97.00,94.00 58.00,41.00,49.00 98.00,81.00,93.00 70.00,81.00,86.00 68.00,58.00,60.00 66.00,44.00,21.00 55.00,71.00,24.00 72.00,35.00,61.00 86.00,58.00,66.00 87.00,72.00,34.00 80.00,100.00,69.00 43.00,57.00,61.00 87.00,39.00,75.00 78.00,43.00,67.00 48.00,88.00,88.00 97.00,34.00,29.00 22.00,28.00,44.00 20.00,41.00,28.00 57.00,95.00,31.00 97.00,48.00,57.00 30.00,86.00,22.00 83.00,95.00,47.00 56.00,47.00,39.00 37.00,89.00,98.00 72.00,85.00,50.00 65.00,59.00,95.00 21.00,90.00,99.00 75.00,76.00,99.00 79.00,39.00,66.00 93.00,82.00,92.00 79.00,56.00,97.00 69.00,30.00,53.00 46.00,100.00,43.00 97.00,58.00,97.00 89.00,40.00,44.00 86.00,77.00,77.00 55.00,66.00,56.00 24.00,78.00,87.00 23.00,93.00,60.00 41.00,62.00,86.00 60.00,80.00,73.00 21.00,96.00,72.00 21.00,33.00,92.00 55.00,59.00,97.00 94.00,87.00,77.00 96.00,74.00,59.00 73.00,90.00,64.00 32.00,70.00,94.00 67.00,25.00,43.00 69.00,23.00,57.00 22.00,27.00,28.00 20.00,33.00,80.00 40.00,43.00,75.00 35.00,91.00,56.00 73.00,43.00,88.00 79.00,90.00,84.00 98.00,37.00,64.00 80.00,80.00,23.00 65.00,31.00,20.00 71.00,45.00,60.00 56.00,61.00,49.00 95.00,65.00,66.00 71.00,81.00,36.00 65.00,44.00,100.00 31.00,38.00,21.00 99.00,99.00,70.00 71.00,62.00,66.00 94.00,32.00,90.00 47.00,23.00,24.00 75.00,86.00,59.00 74.00,88.00,96.00 46.00,39.00,99.00 98.00,94.00,60.00 54.00,55.00,46.00 24.00,52.00,23.00 22.00,71.00,76.00 70.00,37.00,58.00 71.00,43.00,62.00 40.00,47.00,76.00 40.00,78.00,41.00 68.00,82.00,68.00 86.00,34.00,86.00 98.00,52.00,74.00 30.00,86.00,96.00 72.00,42.00,34.00 80.00,100.00,54.00 27.00,72.00,82.00 85.00,30.00,46.00 34.00,64.00,59.00 50.00,52.00,61.00 79.00,20.00,69.00 20.00,64.00,64.00 37.00,73.00,69.00 71.00,84.00,44.00 76.00,69.00,44.00 88.00,85.00,76.00 31.00,35.00,60.00 50.00,26.00,98.00 51.00,84.00,31.00 84.00,52.00,92.00 32.00,39.00,81.00 87.00,24.00,54.00 24.00,100.00,77.00 20.00,80.00,81.00 37.00,80.00,90.00 74.00,98.00,100.00 24.00,54.00,22.00 90.00,89.00,43.00 93.00,43.00,44.00 84.00,36.00,64.00 91.00,77.00,82.00 67.00,60.00,45.00 26.00,47.00,72.00 83.00,86.00,42.00 31.00,78.00,39.00 66.00,34.00,71.00 29.00,85.00,44.00 52.00,100.00,71.00 39.00,69.00,47.00 71.00,42.00,41.00 49.00,42.00,40.00 37.00,35.00,72.00 95.00,100.00,37.00 100.00,25.00,50.00 84.00,46.00,64.00 80.00,71.00,70.00 38.00,99.00,96.00 65.00,70.00,35.00 94.00,64.00,46.00 87.00,70.00,74.00 78.00,87.00,96.00 51.00,94.00,69.00 22.00,58.00,46.00 32.00,34.00,35.00 94.00,57.00,65.00 72.00,65.00,34.00 28.00,29.00,24.00 73.00,40.00,79.00 57.00,98.00,61.00 81.00,64.00,49.00 23.00,38.00,40.00 51.00,66.00,33.00 43.00,71.00,21.00 70.00,93.00,68.00 41.00,35.00,36.00 25.00,46.00,86.00 43.00,81.00,35.00 28.00,90.00,85.00 35.00,58.00,94.00 55.00,35.00,70.00 84.00,80.00,71.00 35.00,81.00,92.00 65.00,71.00,59.00 38.00,91.00,60.00 37.00,48.00,30.00 23.00,62.00,69.00 37.00,43.00,26.00 100.00,36.00,38.00 89.00,61.00,69.00 69.00,94.00,100.00 67.00,93.00,71.00 40.00,73.00,42.00 71.00,78.00,57.00 95.00,68.00,35.00 75.00,100.00,75.00 24.00,41.00,97.00 46.00,99.00,32.00 71.00,26.00,91.00 61.00,42.00,74.00 81.00,53.00,86.00 30.00,37.00,98.00 50.00,38.00,92.00 35.00,83.00,37.00 36.00,32.00,54.00 64.00,44.00,29.00 62.00,49.00,67.00 98.00,98.00,78.00 56.00,57.00,35.00 31.00,91.00,23.00 74.00,26.00,92.00 54.00,25.00,57.00 52.00,39.00,20.00 85.00,84.00,29.00 83.00,91.00,59.00 42.00,23.00,34.00 50.00,51.00,66.00 24.00,81.00,56.00 49.00,66.00,41.00 64.00,91.00,65.00 45.00,77.00,34.00 76.00,79.00,93.00 77.00,42.00,58.00 72.00,69.00,35.00 92.00,63.00,60.00 32.00,88.00,30.00 67.00,57.00,42.00 73.00,60.00,78.00 64.00,94.00,57.00 82.00,44.00,35.00 31.00,64.00,29.00 70.00,48.00,52.00 92.00,36.00,20.00 43.00,24.00,68.00 23.00,88.00,63.00 51.00,66.00,69.00 49.00,90.00,47.00 80.00,72.00,98.00 27.00,58.00,60.00 99.00,62.00,58.00 70.00,71.00,91.00 92.00,39.00,76.00
import numpy as np
climate_data = np.genfromtxt("datasets/climate.csv", delimiter=',', skip_header=1)
print("Climate Data:\n", climate_data)
print(climate_data.shape)
Climate Data: [[25. 76. 99.] [39. 65. 70.] [59. 45. 77.] ... [99. 62. 58.] [70. 71. 91.] [92. 39. 76.]] (10000, 3)
# Slice data of the temperature column
climate_data[:,0]
array([25., 39., 59., ..., 99., 70., 92.])
# Slice data of the rainfall column
climate_data[:,1]
array([76., 65., 45., ..., 62., 71., 39.])
# Slice data of the humidity column
climate_data[:,2]
array([99., 70., 77., ..., 58., 91., 76.])
# Calculate the Mean of every column
print("Mean Temperature = ", climate_data[:,0].mean())
print("Mean Rainfall = ", climate_data[:,1].mean())
print("Mean Humidity = ", climate_data[:,2].mean())
Mean Temperature = 59.8414 Mean Rainfall = 60.1743 Mean Humidity = 60.1066
- Let us now create a fourth column, that is the sum obtained by matrix multiplication of climate_data and their corresponding hypothetical weights.
weights = np.array([0.3, 0.2, 0.5])
new_col = np.matmul(climate_data, weights)
new_col
array([72.2, 59.7, 65.2, ..., 71.1, 80.7, 73.4])
new_col.shape
(10000,)
Let's add the new_col
to climate_data
as a fourth column using the np.concatenate
Since we wish to add new columns, i.e., horizontally concatenate, so we pass the argument axis=1
to np.concatenate
. The axis
argument specifies the dimension for concatenation.
# First we need to reshape() the new_col to a 10000x1 matrix for concatenation
result_data = new_col.reshape(10000, 1)
result_data, result_data.shape
(array([[72.2], [59.7], [65.2], ..., [71.1], [80.7], [73.4]]), (10000, 1))
climate_results = np.concatenate((climate_data, result_data), axis=1)
climate_results
array([[25. , 76. , 99. , 72.2], [39. , 65. , 70. , 59.7], [59. , 45. , 77. , 65.2], ..., [99. , 62. , 58. , 71.1], [70. , 71. , 91. , 80.7], [92. , 39. , 76. , 73.4]])
climate_results.shape
(10000, 4)
The results are written back in the CSV format to the file climate_results.csv
.
temperature,rainfall,humidity,col4
25.00,76.00,99.00,72.20
39.00,65.00,70.00,59.70
59.00,45.00,77.00,65.20
84.00,63.00,38.00,56.80
...
- Let's write back the resulting numPy array
climate_results
in a new fileclimate_results.csv
using thenp.savetxt
method.
np.savetxt('datasets/climate_results.csv',
climate_results,
fmt='%.2f',
delimiter=',',
header='temperature,rainfall,humidity,col4',
comments='')
! cat datasets/climate_results.csv
temperature,rainfall,humidity,col4 25.00,76.00,99.00,72.20 39.00,65.00,70.00,59.70 59.00,45.00,77.00,65.20 84.00,63.00,38.00,56.80 66.00,50.00,52.00,55.80 41.00,94.00,77.00,69.60 91.00,57.00,96.00,86.70 49.00,96.00,99.00,83.40 67.00,20.00,28.00,38.10 85.00,31.00,95.00,79.20 78.00,46.00,34.00,49.60 31.00,40.00,63.00,48.80 52.00,77.00,85.00,73.50 28.00,66.00,77.00,60.10 32.00,50.00,57.00,48.10 31.00,79.00,53.00,51.60 45.00,76.00,48.00,52.70 80.00,52.00,27.00,47.90 24.00,45.00,90.00,61.20 20.00,89.00,84.00,65.80 32.00,20.00,96.00,61.60 56.00,44.00,74.00,62.60 93.00,70.00,80.00,81.90 62.00,87.00,73.00,72.50 85.00,48.00,90.00,80.10 87.00,86.00,93.00,89.80 43.00,57.00,69.00,58.80 28.00,71.00,44.00,44.60 44.00,95.00,58.00,61.20 88.00,48.00,46.00,59.00 80.00,50.00,38.00,53.00 27.00,75.00,89.00,67.60 93.00,61.00,73.00,76.60 31.00,87.00,62.00,57.70 38.00,94.00,44.00,52.20 55.00,93.00,55.00,62.60 56.00,22.00,47.00,44.70 38.00,64.00,79.00,63.70 26.00,22.00,40.00,32.20 27.00,98.00,24.00,39.70 55.00,37.00,38.00,42.90 63.00,69.00,46.00,55.70 21.00,34.00,21.00,23.60 31.00,89.00,85.00,69.60 45.00,69.00,91.00,72.80 48.00,86.00,77.00,70.10 27.00,51.00,27.00,31.80 40.00,47.00,88.00,65.40 29.00,45.00,69.00,52.20 35.00,55.00,85.00,64.00 62.00,43.00,58.00,56.20 67.00,95.00,54.00,66.10 35.00,46.00,55.00,47.20 36.00,75.00,28.00,39.80 97.00,62.00,87.00,85.00 29.00,52.00,25.00,31.60 31.00,26.00,72.00,50.50 94.00,100.00,59.00,77.70 47.00,52.00,76.00,62.50 46.00,52.00,70.00,59.20 40.00,68.00,72.00,61.60 35.00,27.00,84.00,57.90 69.00,96.00,29.00,54.40 69.00,57.00,52.00,58.10 33.00,45.00,71.00,54.40 88.00,95.00,82.00,86.40 48.00,90.00,69.00,66.90 55.00,78.00,66.00,65.10 28.00,44.00,67.00,50.70 34.00,58.00,27.00,35.30 62.00,46.00,89.00,72.30 92.00,78.00,89.00,87.70 20.00,69.00,70.00,54.80 88.00,49.00,65.00,68.70 56.00,83.00,36.00,51.40 51.00,67.00,54.00,55.70 47.00,50.00,71.00,59.60 32.00,94.00,71.00,63.90 33.00,21.00,96.00,62.10 100.00,81.00,69.00,80.70 31.00,58.00,22.00,31.90 74.00,96.00,33.00,57.90 79.00,98.00,99.00,92.80 49.00,76.00,38.00,48.90 78.00,51.00,79.00,73.10 28.00,51.00,62.00,49.60 43.00,49.00,55.00,50.20 73.00,62.00,50.00,59.30 41.00,59.00,78.00,63.10 44.00,31.00,52.00,45.40 29.00,97.00,29.00,42.60 38.00,75.00,60.00,56.40 68.00,60.00,29.00,46.90 46.00,71.00,37.00,46.50 44.00,39.00,49.00,45.50 25.00,78.00,31.00,38.60 52.00,84.00,47.00,55.90 20.00,98.00,71.00,61.10 99.00,47.00,67.00,72.60 68.00,83.00,94.00,84.00 38.00,90.00,20.00,39.40 99.00,67.00,43.00,64.60 53.00,71.00,39.00,49.60 85.00,30.00,49.00,56.00 90.00,20.00,43.00,52.50 62.00,67.00,38.00,51.00 81.00,81.00,78.00,79.50 23.00,69.00,65.00,53.20 86.00,66.00,22.00,50.00 58.00,89.00,76.00,73.20 28.00,51.00,88.00,62.60 98.00,33.00,76.00,74.00 41.00,22.00,84.00,58.70 52.00,69.00,60.00,59.40 46.00,68.00,38.00,46.40 87.00,35.00,54.00,60.10 37.00,76.00,74.00,63.30 86.00,80.00,40.00,61.80 57.00,86.00,45.00,56.80 31.00,94.00,87.00,71.60 45.00,31.00,46.00,42.70 26.00,20.00,31.00,27.30 56.00,36.00,68.00,58.00 96.00,96.00,48.00,72.00 35.00,57.00,23.00,33.40 51.00,28.00,78.00,59.90 44.00,40.00,78.00,60.20 69.00,44.00,78.00,68.50 52.00,29.00,84.00,63.40 49.00,91.00,85.00,75.40 44.00,45.00,51.00,47.70 92.00,48.00,78.00,76.20 37.00,30.00,42.00,38.10 62.00,34.00,59.00,54.90 66.00,71.00,61.00,64.50 100.00,77.00,20.00,55.40 95.00,30.00,25.00,47.00 86.00,45.00,100.00,84.80 70.00,60.00,99.00,82.50 37.00,36.00,55.00,45.80 50.00,33.00,26.00,34.60 33.00,40.00,64.00,49.90 86.00,98.00,25.00,57.90 57.00,75.00,21.00,42.60 53.00,24.00,73.00,57.20 34.00,78.00,23.00,37.30 55.00,45.00,42.00,46.50 89.00,84.00,82.00,84.50 68.00,47.00,84.00,71.80 48.00,87.00,38.00,50.80 45.00,67.00,67.00,60.40 44.00,29.00,77.00,57.50 79.00,72.00,58.00,67.10 31.00,70.00,96.00,71.30 31.00,73.00,49.00,48.40 92.00,56.00,85.00,81.30 69.00,60.00,85.00,75.20 66.00,26.00,35.00,42.50 94.00,81.00,79.00,83.90 29.00,71.00,65.00,55.40 23.00,97.00,21.00,36.80 74.00,64.00,85.00,77.50 39.00,86.00,76.00,66.90 22.00,83.00,52.00,49.20 32.00,21.00,59.00,43.30 37.00,87.00,61.00,59.00 29.00,85.00,64.00,57.70 94.00,72.00,48.00,66.60 85.00,83.00,73.00,78.60 48.00,65.00,25.00,39.90 50.00,91.00,77.00,71.70 23.00,36.00,40.00,34.10 46.00,72.00,51.00,53.70 90.00,68.00,95.00,88.10 47.00,58.00,32.00,41.70 80.00,85.00,85.00,83.50 73.00,76.00,36.00,55.10 26.00,89.00,95.00,73.10 84.00,27.00,37.00,49.10 55.00,37.00,57.00,52.40 41.00,97.00,59.00,61.20 30.00,21.00,41.00,33.70 24.00,62.00,32.00,35.60 73.00,58.00,73.00,70.00 57.00,82.00,67.00,67.00 66.00,30.00,60.00,55.80 36.00,87.00,41.00,48.70 96.00,25.00,86.00,76.80 45.00,89.00,20.00,41.30 46.00,72.00,64.00,60.20 77.00,77.00,75.00,76.00 29.00,65.00,62.00,52.70 80.00,44.00,90.00,77.80 43.00,25.00,94.00,64.90 55.00,86.00,76.00,71.70 45.00,53.00,77.00,62.60 35.00,85.00,38.00,46.50 63.00,38.00,22.00,37.50 36.00,87.00,59.00,57.70 92.00,22.00,32.00,48.00 100.00,58.00,90.00,86.60 31.00,98.00,78.00,67.90 86.00,21.00,82.00,71.00 35.00,56.00,60.00,51.70 63.00,37.00,81.00,66.80 45.00,89.00,80.00,71.30 43.00,59.00,61.00,55.20 40.00,47.00,54.00,48.40 83.00,35.00,68.00,65.90 89.00,75.00,55.00,69.20 80.00,52.00,91.00,79.90 100.00,34.00,60.00,66.80 84.00,61.00,31.00,52.90 72.00,46.00,45.00,53.30 95.00,29.00,77.00,72.80 81.00,36.00,28.00,45.50 55.00,65.00,29.00,44.00 60.00,35.00,40.00,45.00 48.00,76.00,85.00,72.10 82.00,91.00,95.00,90.30 48.00,24.00,45.00,41.70 98.00,42.00,28.00,51.80 76.00,81.00,31.00,54.50 93.00,91.00,88.00,90.10 84.00,48.00,57.00,63.30 73.00,48.00,64.00,63.50 55.00,37.00,46.00,46.90 74.00,92.00,90.00,85.60 23.00,44.00,90.00,60.70 52.00,86.00,41.00,53.30 76.00,79.00,25.00,51.10 51.00,22.00,86.00,62.70 25.00,77.00,78.00,61.90 94.00,65.00,74.00,78.20 39.00,32.00,29.00,32.60 87.00,86.00,100.00,93.30 51.00,70.00,29.00,43.80 40.00,40.00,75.00,57.50 37.00,55.00,69.00,56.60 57.00,28.00,25.00,35.20 65.00,63.00,51.00,57.60 42.00,77.00,71.00,63.50 64.00,83.00,72.00,71.80 61.00,80.00,36.00,52.30 98.00,89.00,50.00,72.20 66.00,86.00,77.00,75.50 35.00,76.00,96.00,73.70 30.00,57.00,38.00,39.40 38.00,97.00,98.00,79.80 100.00,73.00,22.00,55.60 20.00,97.00,79.00,64.90 51.00,66.00,100.00,78.50 33.00,62.00,31.00,37.80 58.00,41.00,37.00,44.10 35.00,95.00,25.00,42.00 77.00,34.00,64.00,61.90 49.00,48.00,86.00,67.30 61.00,28.00,55.00,51.40 27.00,55.00,86.00,62.10 67.00,69.00,23.00,45.40 55.00,79.00,79.00,71.80 25.00,98.00,72.00,63.10 27.00,60.00,40.00,40.10 40.00,93.00,82.00,71.60 33.00,58.00,75.00,59.00 85.00,95.00,73.00,81.00 79.00,50.00,47.00,57.20 79.00,21.00,22.00,38.90 39.00,22.00,76.00,54.10 25.00,85.00,78.00,63.50 81.00,96.00,63.00,75.00 90.00,76.00,61.00,72.70 58.00,31.00,27.00,37.10 49.00,40.00,34.00,39.70 60.00,35.00,43.00,46.50 63.00,85.00,56.00,63.90 28.00,32.00,28.00,28.80 46.00,54.00,57.00,53.10 36.00,52.00,96.00,69.20 82.00,74.00,44.00,61.40 48.00,35.00,35.00,38.90 96.00,30.00,25.00,47.30 65.00,83.00,77.00,74.60 80.00,63.00,51.00,62.10 85.00,96.00,78.00,83.70 83.00,42.00,83.00,74.80 84.00,25.00,72.00,66.20 54.00,60.00,80.00,68.20 62.00,70.00,97.00,81.10 79.00,63.00,57.00,64.80 58.00,81.00,43.00,55.10 30.00,40.00,72.00,53.00 86.00,89.00,23.00,55.10 80.00,35.00,49.00,55.50 69.00,60.00,85.00,75.20 42.00,48.00,94.00,69.20 36.00,99.00,49.00,55.10 58.00,98.00,22.00,48.00 56.00,90.00,91.00,80.30 57.00,95.00,88.00,80.10 21.00,30.00,30.00,27.30 80.00,86.00,80.00,81.20 21.00,80.00,83.00,63.80 92.00,28.00,89.00,77.70 78.00,51.00,29.00,48.10 38.00,32.00,36.00,35.80 90.00,81.00,58.00,72.20 56.00,30.00,72.00,58.80 44.00,26.00,21.00,28.90 68.00,99.00,35.00,57.70 55.00,24.00,63.00,52.80 45.00,27.00,45.00,41.40 30.00,28.00,51.00,40.10 71.00,65.00,45.00,56.80 52.00,76.00,22.00,41.80 68.00,40.00,86.00,71.40 76.00,35.00,57.00,58.30 60.00,70.00,32.00,48.00 41.00,59.00,21.00,34.60 83.00,40.00,21.00,43.40 99.00,61.00,53.00,68.40 71.00,72.00,95.00,83.20 49.00,68.00,86.00,71.30 47.00,31.00,51.00,45.80 90.00,69.00,100.00,90.80 34.00,71.00,26.00,37.40 68.00,81.00,71.00,72.10 22.00,33.00,64.00,45.20 54.00,61.00,35.00,45.90 67.00,41.00,45.00,50.80 94.00,81.00,20.00,54.40 91.00,99.00,66.00,80.10 57.00,25.00,95.00,69.60 38.00,66.00,65.00,57.10 73.00,47.00,45.00,53.80 83.00,52.00,54.00,62.30 41.00,36.00,44.00,41.50 88.00,82.00,27.00,56.30 43.00,47.00,28.00,36.30 23.00,24.00,94.00,58.70 26.00,98.00,31.00,42.90 81.00,44.00,24.00,45.10 53.00,96.00,72.00,71.10 30.00,84.00,91.00,71.30 29.00,42.00,41.00,37.60 61.00,27.00,66.00,56.70 47.00,82.00,24.00,42.50 25.00,63.00,98.00,69.10 54.00,65.00,73.00,65.70 54.00,79.00,71.00,67.50 98.00,78.00,94.00,92.00 35.00,41.00,53.00,45.20 56.00,22.00,26.00,34.20 86.00,30.00,99.00,81.30 76.00,23.00,96.00,75.40 64.00,90.00,80.00,77.20 42.00,99.00,46.00,55.40 47.00,66.00,31.00,42.80 72.00,78.00,73.00,73.70 34.00,33.00,99.00,66.30 67.00,74.00,51.00,60.40 64.00,94.00,35.00,55.50 42.00,87.00,52.00,56.00 89.00,81.00,74.00,79.90 92.00,90.00,93.00,92.10 86.00,64.00,99.00,88.10 76.00,20.00,68.00,60.80 95.00,69.00,42.00,63.30 53.00,77.00,46.00,54.30 45.00,34.00,83.00,61.80 54.00,66.00,30.00,44.40 36.00,34.00,25.00,30.10 65.00,96.00,23.00,50.20 78.00,93.00,95.00,89.50 50.00,35.00,66.00,55.00 94.00,35.00,67.00,68.70 77.00,76.00,57.00,66.80 95.00,61.00,66.00,73.70 99.00,96.00,97.00,97.40 20.00,28.00,37.00,30.10 70.00,25.00,34.00,43.00 20.00,74.00,57.00,49.30 26.00,39.00,53.00,42.10 65.00,74.00,93.00,80.80 54.00,83.00,98.00,81.80 26.00,25.00,88.00,56.80 69.00,80.00,41.00,57.20 41.00,75.00,93.00,73.80 68.00,64.00,99.00,82.70 88.00,66.00,90.00,84.60 81.00,88.00,39.00,61.40 65.00,34.00,32.00,42.30 85.00,59.00,38.00,56.30 34.00,83.00,67.00,60.30 92.00,22.00,47.00,55.50 92.00,59.00,78.00,78.40 72.00,25.00,66.00,59.60 94.00,68.00,25.00,54.30 65.00,82.00,91.00,81.40 65.00,96.00,48.00,62.70 29.00,54.00,24.00,31.50 68.00,52.00,60.00,60.80 57.00,71.00,85.00,73.80 72.00,95.00,52.00,66.60 39.00,21.00,27.00,29.40 39.00,54.00,37.00,41.00 77.00,32.00,45.00,52.00 89.00,88.00,45.00,66.80 36.00,97.00,21.00,40.70 26.00,78.00,46.00,46.40 73.00,96.00,87.00,84.60 23.00,45.00,72.00,51.90 69.00,43.00,34.00,46.30 85.00,55.00,96.00,84.50 81.00,97.00,75.00,81.20 68.00,72.00,85.00,77.30 21.00,22.00,64.00,42.70 50.00,22.00,95.00,66.90 53.00,93.00,28.00,48.50 85.00,100.00,32.00,61.50 56.00,58.00,47.00,51.90 42.00,61.00,44.00,46.80 56.00,82.00,38.00,52.20 96.00,43.00,59.00,66.90 46.00,75.00,56.00,56.80 76.00,21.00,71.00,62.50 89.00,72.00,32.00,57.10 45.00,72.00,90.00,72.90 47.00,95.00,79.00,72.60 98.00,50.00,31.00,54.90 69.00,32.00,54.00,54.10 49.00,32.00,59.00,50.60 76.00,48.00,64.00,64.40 76.00,51.00,62.00,64.00 34.00,71.00,49.00,48.90 71.00,34.00,83.00,69.60 22.00,48.00,86.00,59.20 84.00,78.00,73.00,77.30 24.00,93.00,24.00,37.80 37.00,81.00,82.00,68.30 49.00,77.00,82.00,71.10 88.00,72.00,97.00,89.30 32.00,46.00,80.00,58.80 82.00,85.00,63.00,73.10 39.00,45.00,99.00,70.20 37.00,92.00,26.00,42.50 99.00,26.00,94.00,81.90 60.00,85.00,29.00,49.50 75.00,93.00,78.00,80.10 34.00,40.00,42.00,39.20 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92.00,46.00,46.00,59.80 72.00,73.00,93.00,82.70 29.00,84.00,87.00,69.00 68.00,62.00,38.00,51.80 65.00,26.00,25.00,37.20 25.00,74.00,89.00,66.80 39.00,51.00,38.00,40.90 26.00,94.00,65.00,59.10 54.00,41.00,91.00,69.90 47.00,56.00,94.00,72.30 21.00,39.00,82.00,55.10 66.00,72.00,74.00,71.20 79.00,57.00,77.00,73.60 37.00,23.00,97.00,64.20 90.00,81.00,27.00,56.70 51.00,23.00,77.00,58.40 58.00,37.00,23.00,36.30 26.00,96.00,81.00,67.50 35.00,86.00,41.00,48.20 70.00,79.00,28.00,50.80 76.00,94.00,97.00,90.10 21.00,55.00,54.00,44.30 95.00,41.00,45.00,59.20 97.00,29.00,98.00,83.90 75.00,55.00,33.00,50.00 38.00,60.00,98.00,72.40 64.00,78.00,34.00,51.80 57.00,84.00,68.00,67.90 94.00,26.00,35.00,50.90 27.00,93.00,48.00,50.70 27.00,70.00,30.00,37.10 20.00,80.00,75.00,59.50 90.00,41.00,74.00,72.20 66.00,45.00,43.00,50.30 94.00,53.00,94.00,85.80 85.00,54.00,51.00,61.80 38.00,44.00,59.00,49.70 71.00,74.00,95.00,83.60 45.00,41.00,21.00,32.20 57.00,75.00,60.00,62.10 69.00,47.00,100.00,80.10 60.00,35.00,91.00,70.50 24.00,79.00,24.00,35.00 46.00,50.00,57.00,52.30 62.00,44.00,74.00,64.40 65.00,54.00,95.00,77.80 52.00,82.00,52.00,58.00 21.00,75.00,81.00,61.80 57.00,21.00,31.00,36.80 36.00,39.00,44.00,40.60 99.00,55.00,71.00,76.20 84.00,72.00,43.00,61.10 22.00,48.00,55.00,43.70 41.00,22.00,88.00,60.70 39.00,60.00,29.00,38.20 78.00,71.00,100.00,87.60 90.00,48.00,69.00,71.10 48.00,92.00,89.00,77.30 64.00,30.00,73.00,61.70 99.00,85.00,50.00,71.70 93.00,27.00,78.00,72.30 53.00,51.00,60.00,56.10 87.00,62.00,89.00,83.00 73.00,36.00,32.00,45.10 47.00,97.00,23.00,45.00 56.00,40.00,81.00,65.30 32.00,46.00,93.00,65.30 26.00,83.00,76.00,62.40 91.00,77.00,46.00,65.70 56.00,71.00,54.00,58.00 32.00,63.00,83.00,63.70 65.00,79.00,99.00,84.80 61.00,38.00,30.00,40.90 96.00,84.00,71.00,81.10 65.00,88.00,67.00,70.60 94.00,26.00,82.00,74.40 32.00,73.00,86.00,67.20 47.00,33.00,90.00,65.70 91.00,23.00,54.00,58.90 22.00,40.00,25.00,27.10 54.00,81.00,85.00,74.90 24.00,100.00,41.00,47.70 90.00,33.00,69.00,68.10 97.00,77.00,40.00,64.50 36.00,90.00,25.00,41.30 28.00,83.00,56.00,53.00 34.00,91.00,99.00,77.90 41.00,32.00,47.00,42.20 37.00,33.00,44.00,39.70 62.00,94.00,84.00,79.40 37.00,92.00,79.00,69.00 68.00,26.00,30.00,40.60 21.00,37.00,50.00,38.70 93.00,69.00,48.00,65.70 46.00,97.00,38.00,52.20 33.00,92.00,70.00,63.30 88.00,68.00,35.00,57.50 36.00,61.00,78.00,62.00 88.00,99.00,94.00,93.20 35.00,61.00,28.00,36.70 48.00,92.00,58.00,61.80 92.00,55.00,88.00,82.60 78.00,72.00,33.00,54.30 65.00,34.00,88.00,70.30 29.00,87.00,86.00,69.10 60.00,86.00,21.00,45.70 89.00,69.00,40.00,60.50 46.00,40.00,50.00,46.80 68.00,50.00,66.00,63.40 31.00,92.00,28.00,41.70 33.00,49.00,48.00,43.70 76.00,42.00,90.00,76.20 97.00,57.00,77.00,79.00 85.00,55.00,72.00,72.50 26.00,52.00,22.00,29.20 95.00,75.00,51.00,69.00 41.00,82.00,99.00,78.20 45.00,53.00,92.00,70.10 23.00,83.00,35.00,41.00 40.00,52.00,35.00,39.90 76.00,70.00,60.00,66.80 52.00,58.00,55.00,54.70 95.00,59.00,39.00,59.80 61.00,73.00,20.00,42.90 37.00,76.00,98.00,75.30 83.00,52.00,42.00,56.30 93.00,33.00,23.00,46.00 75.00,28.00,35.00,45.60 65.00,71.00,29.00,48.20 64.00,63.00,91.00,77.30 40.00,93.00,40.00,50.60 94.00,44.00,62.00,68.00 70.00,76.00,51.00,61.70 33.00,40.00,22.00,28.90 20.00,38.00,40.00,33.60 69.00,38.00,67.00,61.80 22.00,96.00,54.00,52.80 66.00,66.00,27.00,46.50 68.00,52.00,68.00,64.80 93.00,67.00,78.00,80.30 85.00,65.00,91.00,84.00 73.00,96.00,57.00,69.60 44.00,60.00,83.00,66.70 65.00,69.00,33.00,49.80 47.00,64.00,41.00,47.40 46.00,69.00,41.00,48.10 92.00,58.00,37.00,57.70 76.00,92.00,35.00,58.70 34.00,36.00,45.00,39.90 88.00,23.00,93.00,77.50 72.00,45.00,68.00,64.60 39.00,42.00,87.00,63.60 79.00,25.00,53.00,55.20 77.00,100.00,96.00,91.10 98.00,55.00,67.00,73.90 33.00,72.00,20.00,34.30 88.00,71.00,24.00,52.60 25.00,34.00,73.00,50.80 50.00,93.00,67.00,67.10 55.00,56.00,51.00,53.20 24.00,59.00,69.00,53.50 32.00,85.00,49.00,51.10 42.00,40.00,26.00,33.60 77.00,93.00,81.00,82.20 68.00,33.00,62.00,58.00 73.00,97.00,86.00,84.30 58.00,50.00,64.00,59.40 30.00,42.00,68.00,51.40 51.00,87.00,87.00,76.20 85.00,35.00,88.00,76.50 81.00,37.00,87.00,75.20 46.00,24.00,46.00,41.60 58.00,43.00,85.00,68.50 42.00,39.00,24.00,32.40 88.00,83.00,88.00,87.00 78.00,38.00,100.00,81.00 91.00,33.00,38.00,52.90 87.00,51.00,33.00,52.80 39.00,27.00,95.00,64.60 77.00,79.00,52.00,64.90 79.00,35.00,29.00,45.20 20.00,68.00,84.00,61.60 76.00,73.00,65.00,69.90 86.00,45.00,27.00,48.30 57.00,58.00,26.00,41.70 71.00,87.00,35.00,56.20 52.00,23.00,75.00,57.70 26.00,99.00,26.00,40.60 79.00,56.00,46.00,57.90 87.00,97.00,63.00,77.00 73.00,92.00,28.00,54.30 89.00,83.00,96.00,91.30 77.00,97.00,64.00,74.50 63.00,49.00,24.00,40.70 69.00,52.00,45.00,53.60 24.00,67.00,73.00,57.10 72.00,60.00,61.00,64.10 62.00,83.00,69.00,69.70 63.00,74.00,21.00,44.20 56.00,96.00,39.00,55.50 30.00,42.00,63.00,48.90 67.00,42.00,80.00,68.50 81.00,41.00,23.00,44.00 77.00,75.00,21.00,48.60 94.00,56.00,45.00,61.90 57.00,35.00,21.00,34.60 88.00,98.00,90.00,91.00 46.00,82.00,69.00,64.70 98.00,31.00,44.00,57.60 35.00,38.00,38.00,37.10 88.00,21.00,52.00,56.60 26.00,66.00,35.00,38.50 50.00,41.00,94.00,70.20 26.00,56.00,81.00,59.50 53.00,44.00,24.00,36.70 73.00,74.00,78.00,75.70 74.00,47.00,20.00,41.60 88.00,95.00,48.00,69.40 25.00,70.00,72.00,57.50 57.00,95.00,77.00,74.60 64.00,27.00,44.00,46.60 24.00,49.00,86.00,60.00 96.00,89.00,38.00,65.60 74.00,21.00,35.00,43.90 57.00,83.00,63.00,65.20 32.00,36.00,36.00,34.80 57.00,53.00,94.00,74.70 89.00,88.00,81.00,84.80 20.00,60.00,81.00,58.50 29.00,72.00,43.00,44.60 92.00,55.00,46.00,61.60 77.00,41.00,28.00,45.30 82.00,22.00,57.00,57.50 88.00,96.00,82.00,86.60 59.00,51.00,28.00,41.90 24.00,93.00,67.00,59.30 43.00,74.00,58.00,56.70 50.00,49.00,33.00,41.30 39.00,43.00,56.00,48.30 20.00,61.00,21.00,28.70 73.00,81.00,28.00,52.10 35.00,89.00,48.00,52.30 82.00,32.00,28.00,45.00 33.00,36.00,95.00,64.60 95.00,50.00,36.00,56.50 60.00,76.00,81.00,73.70 21.00,76.00,88.00,65.50 27.00,49.00,64.00,49.90 35.00,25.00,88.00,59.50 74.00,48.00,58.00,60.80 90.00,34.00,24.00,45.80 39.00,44.00,67.00,54.00 66.00,63.00,67.00,65.90 26.00,30.00,21.00,24.30 64.00,87.00,42.00,57.60 86.00,49.00,38.00,54.60 72.00,36.00,94.00,75.80 91.00,78.00,79.00,82.40 71.00,34.00,42.00,49.10 27.00,83.00,94.00,71.70 66.00,41.00,31.00,43.50 100.00,99.00,58.00,78.80 69.00,78.00,35.00,53.80 72.00,23.00,69.00,60.70 30.00,98.00,89.00,73.10 86.00,28.00,62.00,62.40 54.00,50.00,52.00,52.20 29.00,54.00,38.00,38.50 27.00,89.00,36.00,43.90 83.00,89.00,45.00,65.20 77.00,78.00,81.00,79.20 71.00,49.00,20.00,41.10 91.00,21.00,26.00,44.50 90.00,48.00,51.00,62.10 95.00,53.00,79.00,78.60 63.00,62.00,93.00,77.80 89.00,57.00,60.00,68.10 44.00,69.00,61.00,57.50 42.00,87.00,88.00,74.00 64.00,68.00,66.00,65.80 40.00,49.00,59.00,51.30 90.00,33.00,46.00,56.60 69.00,48.00,39.00,49.80 88.00,27.00,79.00,71.30 69.00,47.00,82.00,71.10 46.00,49.00,71.00,59.10 23.00,55.00,78.00,56.90 37.00,74.00,65.00,58.40 39.00,47.00,83.00,62.60 89.00,27.00,93.00,78.60 51.00,39.00,95.00,70.60 30.00,64.00,27.00,35.30 58.00,32.00,65.00,56.30 85.00,55.00,56.00,64.50 99.00,74.00,99.00,94.00 72.00,94.00,65.00,72.90 49.00,78.00,32.00,46.30 40.00,56.00,30.00,38.20 54.00,70.00,36.00,48.20 35.00,49.00,92.00,66.30 43.00,48.00,73.00,59.00 76.00,36.00,60.00,60.00 38.00,65.00,32.00,40.40 83.00,26.00,40.00,50.10 48.00,55.00,41.00,45.90 73.00,61.00,54.00,61.10 23.00,65.00,33.00,36.40 97.00,28.00,67.00,68.20 72.00,75.00,76.00,74.60 68.00,43.00,33.00,45.50 36.00,69.00,41.00,45.10 99.00,32.00,48.00,60.10 40.00,97.00,94.00,78.40 58.00,41.00,49.00,50.10 98.00,81.00,93.00,92.10 70.00,81.00,86.00,80.20 68.00,58.00,60.00,62.00 66.00,44.00,21.00,39.10 55.00,71.00,24.00,42.70 72.00,35.00,61.00,59.10 86.00,58.00,66.00,70.40 87.00,72.00,34.00,57.50 80.00,100.00,69.00,78.50 43.00,57.00,61.00,54.80 87.00,39.00,75.00,71.40 78.00,43.00,67.00,65.50 48.00,88.00,88.00,76.00 97.00,34.00,29.00,50.40 22.00,28.00,44.00,34.20 20.00,41.00,28.00,28.20 57.00,95.00,31.00,51.60 97.00,48.00,57.00,67.20 30.00,86.00,22.00,37.20 83.00,95.00,47.00,67.40 56.00,47.00,39.00,45.70 37.00,89.00,98.00,77.90 72.00,85.00,50.00,63.60 65.00,59.00,95.00,78.80 21.00,90.00,99.00,73.80 75.00,76.00,99.00,87.20 79.00,39.00,66.00,64.50 93.00,82.00,92.00,90.30 79.00,56.00,97.00,83.40 69.00,30.00,53.00,53.20 46.00,100.00,43.00,55.30 97.00,58.00,97.00,89.20 89.00,40.00,44.00,56.70 86.00,77.00,77.00,79.70 55.00,66.00,56.00,57.70 24.00,78.00,87.00,66.30 23.00,93.00,60.00,55.50 41.00,62.00,86.00,67.70 60.00,80.00,73.00,70.50 21.00,96.00,72.00,61.50 21.00,33.00,92.00,58.90 55.00,59.00,97.00,76.80 94.00,87.00,77.00,84.10 96.00,74.00,59.00,73.10 73.00,90.00,64.00,71.90 32.00,70.00,94.00,70.60 67.00,25.00,43.00,46.60 69.00,23.00,57.00,53.80 22.00,27.00,28.00,26.00 20.00,33.00,80.00,52.60 40.00,43.00,75.00,58.10 35.00,91.00,56.00,56.70 73.00,43.00,88.00,74.50 79.00,90.00,84.00,83.70 98.00,37.00,64.00,68.80 80.00,80.00,23.00,51.50 65.00,31.00,20.00,35.70 71.00,45.00,60.00,60.30 56.00,61.00,49.00,53.50 95.00,65.00,66.00,74.50 71.00,81.00,36.00,55.50 65.00,44.00,100.00,78.30 31.00,38.00,21.00,27.40 99.00,99.00,70.00,84.50 71.00,62.00,66.00,66.70 94.00,32.00,90.00,79.60 47.00,23.00,24.00,30.70 75.00,86.00,59.00,69.20 74.00,88.00,96.00,87.80 46.00,39.00,99.00,71.10 98.00,94.00,60.00,78.20 54.00,55.00,46.00,50.20 24.00,52.00,23.00,29.10 22.00,71.00,76.00,58.80 70.00,37.00,58.00,57.40 71.00,43.00,62.00,60.90 40.00,47.00,76.00,59.40 40.00,78.00,41.00,48.10 68.00,82.00,68.00,70.80 86.00,34.00,86.00,75.60 98.00,52.00,74.00,76.80 30.00,86.00,96.00,74.20 72.00,42.00,34.00,47.00 80.00,100.00,54.00,71.00 27.00,72.00,82.00,63.50 85.00,30.00,46.00,54.50 34.00,64.00,59.00,52.50 50.00,52.00,61.00,55.90 79.00,20.00,69.00,62.20 20.00,64.00,64.00,50.80 37.00,73.00,69.00,60.20 71.00,84.00,44.00,60.10 76.00,69.00,44.00,58.60 88.00,85.00,76.00,81.40 31.00,35.00,60.00,46.30 50.00,26.00,98.00,69.20 51.00,84.00,31.00,47.60 84.00,52.00,92.00,81.60 32.00,39.00,81.00,57.90 87.00,24.00,54.00,57.90 24.00,100.00,77.00,65.70 20.00,80.00,81.00,62.50 37.00,80.00,90.00,72.10 74.00,98.00,100.00,91.80 24.00,54.00,22.00,29.00 90.00,89.00,43.00,66.30 93.00,43.00,44.00,58.50 84.00,36.00,64.00,64.40 91.00,77.00,82.00,83.70 67.00,60.00,45.00,54.60 26.00,47.00,72.00,53.20 83.00,86.00,42.00,63.10 31.00,78.00,39.00,44.40 66.00,34.00,71.00,62.10 29.00,85.00,44.00,47.70 52.00,100.00,71.00,71.10 39.00,69.00,47.00,49.00 71.00,42.00,41.00,50.20 49.00,42.00,40.00,43.10 37.00,35.00,72.00,54.10 95.00,100.00,37.00,67.00 100.00,25.00,50.00,60.00 84.00,46.00,64.00,66.40 80.00,71.00,70.00,73.20 38.00,99.00,96.00,79.20 65.00,70.00,35.00,51.00 94.00,64.00,46.00,64.00 87.00,70.00,74.00,77.10 78.00,87.00,96.00,88.80 51.00,94.00,69.00,68.60 22.00,58.00,46.00,41.20 32.00,34.00,35.00,33.90 94.00,57.00,65.00,72.10 72.00,65.00,34.00,51.60 28.00,29.00,24.00,26.20 73.00,40.00,79.00,69.40 57.00,98.00,61.00,67.20 81.00,64.00,49.00,61.60 23.00,38.00,40.00,34.50 51.00,66.00,33.00,45.00 43.00,71.00,21.00,37.60 70.00,93.00,68.00,73.60 41.00,35.00,36.00,37.30 25.00,46.00,86.00,59.70 43.00,81.00,35.00,46.60 28.00,90.00,85.00,68.90 35.00,58.00,94.00,69.10 55.00,35.00,70.00,58.50 84.00,80.00,71.00,76.70 35.00,81.00,92.00,72.70 65.00,71.00,59.00,63.20 38.00,91.00,60.00,59.60 37.00,48.00,30.00,35.70 23.00,62.00,69.00,53.80 37.00,43.00,26.00,32.70 100.00,36.00,38.00,56.20 89.00,61.00,69.00,73.40 69.00,94.00,100.00,89.50 67.00,93.00,71.00,74.20 40.00,73.00,42.00,47.60 71.00,78.00,57.00,65.40 95.00,68.00,35.00,59.60 75.00,100.00,75.00,80.00 24.00,41.00,97.00,63.90 46.00,99.00,32.00,49.60 71.00,26.00,91.00,72.00 61.00,42.00,74.00,63.70 81.00,53.00,86.00,77.90 30.00,37.00,98.00,65.40 50.00,38.00,92.00,68.60 35.00,83.00,37.00,45.60 36.00,32.00,54.00,44.20 64.00,44.00,29.00,42.50 62.00,49.00,67.00,61.90 98.00,98.00,78.00,88.00 56.00,57.00,35.00,45.70 31.00,91.00,23.00,39.00 74.00,26.00,92.00,73.40 54.00,25.00,57.00,49.70 52.00,39.00,20.00,33.40 85.00,84.00,29.00,56.80 83.00,91.00,59.00,72.60 42.00,23.00,34.00,34.20 50.00,51.00,66.00,58.20 24.00,81.00,56.00,51.40 49.00,66.00,41.00,48.40 64.00,91.00,65.00,69.90 45.00,77.00,34.00,45.90 76.00,79.00,93.00,85.10 77.00,42.00,58.00,60.50 72.00,69.00,35.00,52.90 92.00,63.00,60.00,70.20 32.00,88.00,30.00,42.20 67.00,57.00,42.00,52.50 73.00,60.00,78.00,72.90 64.00,94.00,57.00,66.50 82.00,44.00,35.00,50.90 31.00,64.00,29.00,36.60 70.00,48.00,52.00,56.60 92.00,36.00,20.00,44.80 43.00,24.00,68.00,51.70 23.00,88.00,63.00,56.00 51.00,66.00,69.00,63.00 49.00,90.00,47.00,56.20 80.00,72.00,98.00,87.40 27.00,58.00,60.00,49.70 99.00,62.00,58.00,71.10 70.00,71.00,91.00,80.70 92.00,39.00,76.00,73.40
Now let us read an image file from disk and load it into a numPy array for image processing task
from PIL import Image
rgb_img = Image.open("datasets/speech.jpg")
rgb_img.mode
'RGB'
rgb_img.size
(720, 479)
When translating a color image to greyscale (mode "L"), the library uses the ITU-R 601-2 luma transform::
L = R * 299/1000 + G * 587/1000 + B * 114/1000
grey_img = rgb_img.convert('L')
grey_img.mode
'L'
grey_img.size
(720, 479)
rgb_img
grey_img
rgb_img_array = np.array(rgb_img)
rgb_img_array.shape
(479, 720, 3)
rgb_img_array
array([[[252, 254, 253], [253, 255, 254], [253, 255, 254], ..., [191, 200, 233], [180, 188, 224], [190, 198, 235]], [[252, 254, 253], [252, 254, 253], [252, 254, 253], ..., [173, 182, 215], [155, 163, 199], [159, 167, 204]], [[251, 253, 252], [251, 253, 252], [251, 253, 252], ..., [150, 159, 192], [122, 130, 166], [120, 128, 165]], ..., [[ 24, 37, 43], [ 24, 37, 43], [ 24, 37, 43], ..., [209, 217, 236], [209, 217, 236], [209, 217, 236]], [[ 24, 37, 43], [ 24, 37, 43], [ 24, 37, 43], ..., [209, 217, 236], [209, 217, 236], [209, 217, 236]], [[ 23, 36, 42], [ 23, 36, 42], [ 23, 36, 42], ..., [209, 217, 236], [209, 217, 236], [209, 217, 236]]], dtype=uint8)
grey_img_array = np.array(grey_img)
grey_img_array.shape
(479, 720)
grey_img_array
array([[253, 254, 254, ..., 201, 190, 200], [253, 253, 253, ..., 183, 165, 169], [252, 252, 252, ..., 160, 132, 130], ..., [ 34, 34, 34, ..., 217, 217, 217], [ 34, 34, 34, ..., 217, 217, 217], [ 33, 33, 33, ..., 217, 217, 217]], dtype=uint8)