Most efficient way to convert values of column in Pandas DataFrame












3















I have a a pd.DataFrame that looks like:



enter image description here



I want to create a cutoff on the values to push them into binary digits, my cutoff in this case is 0.85. I want the resulting dataframe to look like:



enter image description here



The script I wrote to do this is easy to understand but for large datasets it is inefficient. I'm sure Pandas has some way of taking care of these types of transformations.



Does anyone know of an efficient way to convert a column of floats to a column of integers using a threshold?



My extremely naive way of doing such a thing:



DF_test = pd.DataFrame(np.array([list("abcde"),list("pqrst"),[0.12,0.23,0.93,0.86,0.33]]).T,columns=["c1","c2","value"])
DF_want = pd.DataFrame(np.array([list("abcde"),list("pqrst"),[0,0,1,1,0]]).T,columns=["c1","c2","value"])


threshold = 0.85

#Empty dataframe to append rows
DF_naive = pd.DataFrame()
for i in range(DF_test.shape[0]):
#Get first 2 columns
first2cols = list(DF_test.ix[i][:-1])
#Check if value is greater than threshold
binary_value = [int((bool(float(DF_test.ix[i][-1]) > threshold)))]
#Create series object
SR_row = pd.Series( first2cols + binary_value,name=i)
#Add to empty dataframe container
DF_naive = DF_naive.append(SR_row)
#Relabel columns
DF_naive.columns = DF_test.columns
DF_naive.head()
#the sample DF_want









share|improve this question























  • can't you just do df['value'] = np.where(df['value'] > 0.85, 1, 0)? this will convert and set the entire column

    – EdChum
    Feb 25 '16 at 22:28
















3















I have a a pd.DataFrame that looks like:



enter image description here



I want to create a cutoff on the values to push them into binary digits, my cutoff in this case is 0.85. I want the resulting dataframe to look like:



enter image description here



The script I wrote to do this is easy to understand but for large datasets it is inefficient. I'm sure Pandas has some way of taking care of these types of transformations.



Does anyone know of an efficient way to convert a column of floats to a column of integers using a threshold?



My extremely naive way of doing such a thing:



DF_test = pd.DataFrame(np.array([list("abcde"),list("pqrst"),[0.12,0.23,0.93,0.86,0.33]]).T,columns=["c1","c2","value"])
DF_want = pd.DataFrame(np.array([list("abcde"),list("pqrst"),[0,0,1,1,0]]).T,columns=["c1","c2","value"])


threshold = 0.85

#Empty dataframe to append rows
DF_naive = pd.DataFrame()
for i in range(DF_test.shape[0]):
#Get first 2 columns
first2cols = list(DF_test.ix[i][:-1])
#Check if value is greater than threshold
binary_value = [int((bool(float(DF_test.ix[i][-1]) > threshold)))]
#Create series object
SR_row = pd.Series( first2cols + binary_value,name=i)
#Add to empty dataframe container
DF_naive = DF_naive.append(SR_row)
#Relabel columns
DF_naive.columns = DF_test.columns
DF_naive.head()
#the sample DF_want









share|improve this question























  • can't you just do df['value'] = np.where(df['value'] > 0.85, 1, 0)? this will convert and set the entire column

    – EdChum
    Feb 25 '16 at 22:28














3












3








3


3






I have a a pd.DataFrame that looks like:



enter image description here



I want to create a cutoff on the values to push them into binary digits, my cutoff in this case is 0.85. I want the resulting dataframe to look like:



enter image description here



The script I wrote to do this is easy to understand but for large datasets it is inefficient. I'm sure Pandas has some way of taking care of these types of transformations.



Does anyone know of an efficient way to convert a column of floats to a column of integers using a threshold?



My extremely naive way of doing such a thing:



DF_test = pd.DataFrame(np.array([list("abcde"),list("pqrst"),[0.12,0.23,0.93,0.86,0.33]]).T,columns=["c1","c2","value"])
DF_want = pd.DataFrame(np.array([list("abcde"),list("pqrst"),[0,0,1,1,0]]).T,columns=["c1","c2","value"])


threshold = 0.85

#Empty dataframe to append rows
DF_naive = pd.DataFrame()
for i in range(DF_test.shape[0]):
#Get first 2 columns
first2cols = list(DF_test.ix[i][:-1])
#Check if value is greater than threshold
binary_value = [int((bool(float(DF_test.ix[i][-1]) > threshold)))]
#Create series object
SR_row = pd.Series( first2cols + binary_value,name=i)
#Add to empty dataframe container
DF_naive = DF_naive.append(SR_row)
#Relabel columns
DF_naive.columns = DF_test.columns
DF_naive.head()
#the sample DF_want









share|improve this question














I have a a pd.DataFrame that looks like:



enter image description here



I want to create a cutoff on the values to push them into binary digits, my cutoff in this case is 0.85. I want the resulting dataframe to look like:



enter image description here



The script I wrote to do this is easy to understand but for large datasets it is inefficient. I'm sure Pandas has some way of taking care of these types of transformations.



Does anyone know of an efficient way to convert a column of floats to a column of integers using a threshold?



My extremely naive way of doing such a thing:



DF_test = pd.DataFrame(np.array([list("abcde"),list("pqrst"),[0.12,0.23,0.93,0.86,0.33]]).T,columns=["c1","c2","value"])
DF_want = pd.DataFrame(np.array([list("abcde"),list("pqrst"),[0,0,1,1,0]]).T,columns=["c1","c2","value"])


threshold = 0.85

#Empty dataframe to append rows
DF_naive = pd.DataFrame()
for i in range(DF_test.shape[0]):
#Get first 2 columns
first2cols = list(DF_test.ix[i][:-1])
#Check if value is greater than threshold
binary_value = [int((bool(float(DF_test.ix[i][-1]) > threshold)))]
#Create series object
SR_row = pd.Series( first2cols + binary_value,name=i)
#Add to empty dataframe container
DF_naive = DF_naive.append(SR_row)
#Relabel columns
DF_naive.columns = DF_test.columns
DF_naive.head()
#the sample DF_want






python pandas int dataframe






share|improve this question













share|improve this question











share|improve this question




share|improve this question










asked Feb 25 '16 at 22:22









O.rkaO.rka

7,16030107169




7,16030107169













  • can't you just do df['value'] = np.where(df['value'] > 0.85, 1, 0)? this will convert and set the entire column

    – EdChum
    Feb 25 '16 at 22:28



















  • can't you just do df['value'] = np.where(df['value'] > 0.85, 1, 0)? this will convert and set the entire column

    – EdChum
    Feb 25 '16 at 22:28

















can't you just do df['value'] = np.where(df['value'] > 0.85, 1, 0)? this will convert and set the entire column

– EdChum
Feb 25 '16 at 22:28





can't you just do df['value'] = np.where(df['value'] > 0.85, 1, 0)? this will convert and set the entire column

– EdChum
Feb 25 '16 at 22:28












2 Answers
2






active

oldest

votes


















8














You can use np.where to set your desired value based on a boolean condition:



In [18]:
DF_test['value'] = np.where(DF_test['value'] > threshold, 1,0)
DF_test

Out[18]:
c1 c2 value
0 a p 0
1 b q 0
2 c r 1
3 d s 1
4 e t 0


Note that because your data is a heterogenous np array the 'value' column contains strings rather than floats:



In [58]:
DF_test.iloc[0]['value']

Out[58]:
'0.12'


So you'll need to convert the dtype to float first: DF_test['value'] = DF_test['value'].astype(float)



You can compare the timings:



In [16]:
%timeit np.where(DF_test['value'] > threshold, 1,0)
1000 loops, best of 3: 297 µs per loop

In [17]:
%%timeit
DF_naive = pd.DataFrame()
for i in range(DF_test.shape[0]):
#Get first 2 columns
first2cols = list(DF_test.ix[i][:-1])
#Check if value is greater than threshold
binary_value = [int((bool(float(DF_test.ix[i][-1]) > threshold)))]
#Create series object
SR_row = pd.Series( first2cols + binary_value,name=i)
#Add to empty dataframe container
DF_naive = DF_naive.append(SR_row)
10 loops, best of 3: 39.3 ms per loop


the np.where version is over 100x faster, admittedly your code is doing a lot of unnecessary stuff but you get the point






share|improve this answer


























  • When I run this, the entire column value is then filled up with 1s. np.where(DF_test['value'] > 0.85) returns (array([0, 1, 2, 3, 4]),) and DF_test['value'] > 0.85 returns True everywhere. Any idea why that happens? I copy-pasted DF_test from above.

    – Cleb
    Feb 25 '16 at 23:08






  • 1





    You may need to convert the DF_test['value'] dtype first DF_test['value'] = DF_test'].astype(float) otherwise I haven't a clue

    – EdChum
    Feb 25 '16 at 23:11











  • That's it, thanks.

    – Cleb
    Feb 25 '16 at 23:12






  • 1





    @Cleb the OP created a heterogenous np.array as the data for the df, this made all the values in 'value' column into strings hence the need to convert the dtype

    – EdChum
    Feb 25 '16 at 23:15








  • 1





    Ok, you might want to add this to your answer. +1 from my side.

    – Cleb
    Feb 25 '16 at 23:15



















0














Since bool is a subclass of int, i.e. True == 1 and False == 0, you can convert a Boolean series to its integer form:



DF_test['value'] = (DF_test['value'] > threshold).astype(int)


Generally, including most uses in computation or indexing, the int conversion is not necessary and you may wish to forego it altogether.






share|improve this answer























    Your Answer






    StackExchange.ifUsing("editor", function () {
    StackExchange.using("externalEditor", function () {
    StackExchange.using("snippets", function () {
    StackExchange.snippets.init();
    });
    });
    }, "code-snippets");

    StackExchange.ready(function() {
    var channelOptions = {
    tags: "".split(" "),
    id: "1"
    };
    initTagRenderer("".split(" "), "".split(" "), channelOptions);

    StackExchange.using("externalEditor", function() {
    // Have to fire editor after snippets, if snippets enabled
    if (StackExchange.settings.snippets.snippetsEnabled) {
    StackExchange.using("snippets", function() {
    createEditor();
    });
    }
    else {
    createEditor();
    }
    });

    function createEditor() {
    StackExchange.prepareEditor({
    heartbeatType: 'answer',
    autoActivateHeartbeat: false,
    convertImagesToLinks: true,
    noModals: true,
    showLowRepImageUploadWarning: true,
    reputationToPostImages: 10,
    bindNavPrevention: true,
    postfix: "",
    imageUploader: {
    brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
    contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
    allowUrls: true
    },
    onDemand: true,
    discardSelector: ".discard-answer"
    ,immediatelyShowMarkdownHelp:true
    });


    }
    });














    draft saved

    draft discarded


















    StackExchange.ready(
    function () {
    StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fstackoverflow.com%2fquestions%2f35639588%2fmost-efficient-way-to-convert-values-of-column-in-pandas-dataframe%23new-answer', 'question_page');
    }
    );

    Post as a guest















    Required, but never shown

























    2 Answers
    2






    active

    oldest

    votes








    2 Answers
    2






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    8














    You can use np.where to set your desired value based on a boolean condition:



    In [18]:
    DF_test['value'] = np.where(DF_test['value'] > threshold, 1,0)
    DF_test

    Out[18]:
    c1 c2 value
    0 a p 0
    1 b q 0
    2 c r 1
    3 d s 1
    4 e t 0


    Note that because your data is a heterogenous np array the 'value' column contains strings rather than floats:



    In [58]:
    DF_test.iloc[0]['value']

    Out[58]:
    '0.12'


    So you'll need to convert the dtype to float first: DF_test['value'] = DF_test['value'].astype(float)



    You can compare the timings:



    In [16]:
    %timeit np.where(DF_test['value'] > threshold, 1,0)
    1000 loops, best of 3: 297 µs per loop

    In [17]:
    %%timeit
    DF_naive = pd.DataFrame()
    for i in range(DF_test.shape[0]):
    #Get first 2 columns
    first2cols = list(DF_test.ix[i][:-1])
    #Check if value is greater than threshold
    binary_value = [int((bool(float(DF_test.ix[i][-1]) > threshold)))]
    #Create series object
    SR_row = pd.Series( first2cols + binary_value,name=i)
    #Add to empty dataframe container
    DF_naive = DF_naive.append(SR_row)
    10 loops, best of 3: 39.3 ms per loop


    the np.where version is over 100x faster, admittedly your code is doing a lot of unnecessary stuff but you get the point






    share|improve this answer


























    • When I run this, the entire column value is then filled up with 1s. np.where(DF_test['value'] > 0.85) returns (array([0, 1, 2, 3, 4]),) and DF_test['value'] > 0.85 returns True everywhere. Any idea why that happens? I copy-pasted DF_test from above.

      – Cleb
      Feb 25 '16 at 23:08






    • 1





      You may need to convert the DF_test['value'] dtype first DF_test['value'] = DF_test'].astype(float) otherwise I haven't a clue

      – EdChum
      Feb 25 '16 at 23:11











    • That's it, thanks.

      – Cleb
      Feb 25 '16 at 23:12






    • 1





      @Cleb the OP created a heterogenous np.array as the data for the df, this made all the values in 'value' column into strings hence the need to convert the dtype

      – EdChum
      Feb 25 '16 at 23:15








    • 1





      Ok, you might want to add this to your answer. +1 from my side.

      – Cleb
      Feb 25 '16 at 23:15
















    8














    You can use np.where to set your desired value based on a boolean condition:



    In [18]:
    DF_test['value'] = np.where(DF_test['value'] > threshold, 1,0)
    DF_test

    Out[18]:
    c1 c2 value
    0 a p 0
    1 b q 0
    2 c r 1
    3 d s 1
    4 e t 0


    Note that because your data is a heterogenous np array the 'value' column contains strings rather than floats:



    In [58]:
    DF_test.iloc[0]['value']

    Out[58]:
    '0.12'


    So you'll need to convert the dtype to float first: DF_test['value'] = DF_test['value'].astype(float)



    You can compare the timings:



    In [16]:
    %timeit np.where(DF_test['value'] > threshold, 1,0)
    1000 loops, best of 3: 297 µs per loop

    In [17]:
    %%timeit
    DF_naive = pd.DataFrame()
    for i in range(DF_test.shape[0]):
    #Get first 2 columns
    first2cols = list(DF_test.ix[i][:-1])
    #Check if value is greater than threshold
    binary_value = [int((bool(float(DF_test.ix[i][-1]) > threshold)))]
    #Create series object
    SR_row = pd.Series( first2cols + binary_value,name=i)
    #Add to empty dataframe container
    DF_naive = DF_naive.append(SR_row)
    10 loops, best of 3: 39.3 ms per loop


    the np.where version is over 100x faster, admittedly your code is doing a lot of unnecessary stuff but you get the point






    share|improve this answer


























    • When I run this, the entire column value is then filled up with 1s. np.where(DF_test['value'] > 0.85) returns (array([0, 1, 2, 3, 4]),) and DF_test['value'] > 0.85 returns True everywhere. Any idea why that happens? I copy-pasted DF_test from above.

      – Cleb
      Feb 25 '16 at 23:08






    • 1





      You may need to convert the DF_test['value'] dtype first DF_test['value'] = DF_test'].astype(float) otherwise I haven't a clue

      – EdChum
      Feb 25 '16 at 23:11











    • That's it, thanks.

      – Cleb
      Feb 25 '16 at 23:12






    • 1





      @Cleb the OP created a heterogenous np.array as the data for the df, this made all the values in 'value' column into strings hence the need to convert the dtype

      – EdChum
      Feb 25 '16 at 23:15








    • 1





      Ok, you might want to add this to your answer. +1 from my side.

      – Cleb
      Feb 25 '16 at 23:15














    8












    8








    8







    You can use np.where to set your desired value based on a boolean condition:



    In [18]:
    DF_test['value'] = np.where(DF_test['value'] > threshold, 1,0)
    DF_test

    Out[18]:
    c1 c2 value
    0 a p 0
    1 b q 0
    2 c r 1
    3 d s 1
    4 e t 0


    Note that because your data is a heterogenous np array the 'value' column contains strings rather than floats:



    In [58]:
    DF_test.iloc[0]['value']

    Out[58]:
    '0.12'


    So you'll need to convert the dtype to float first: DF_test['value'] = DF_test['value'].astype(float)



    You can compare the timings:



    In [16]:
    %timeit np.where(DF_test['value'] > threshold, 1,0)
    1000 loops, best of 3: 297 µs per loop

    In [17]:
    %%timeit
    DF_naive = pd.DataFrame()
    for i in range(DF_test.shape[0]):
    #Get first 2 columns
    first2cols = list(DF_test.ix[i][:-1])
    #Check if value is greater than threshold
    binary_value = [int((bool(float(DF_test.ix[i][-1]) > threshold)))]
    #Create series object
    SR_row = pd.Series( first2cols + binary_value,name=i)
    #Add to empty dataframe container
    DF_naive = DF_naive.append(SR_row)
    10 loops, best of 3: 39.3 ms per loop


    the np.where version is over 100x faster, admittedly your code is doing a lot of unnecessary stuff but you get the point






    share|improve this answer















    You can use np.where to set your desired value based on a boolean condition:



    In [18]:
    DF_test['value'] = np.where(DF_test['value'] > threshold, 1,0)
    DF_test

    Out[18]:
    c1 c2 value
    0 a p 0
    1 b q 0
    2 c r 1
    3 d s 1
    4 e t 0


    Note that because your data is a heterogenous np array the 'value' column contains strings rather than floats:



    In [58]:
    DF_test.iloc[0]['value']

    Out[58]:
    '0.12'


    So you'll need to convert the dtype to float first: DF_test['value'] = DF_test['value'].astype(float)



    You can compare the timings:



    In [16]:
    %timeit np.where(DF_test['value'] > threshold, 1,0)
    1000 loops, best of 3: 297 µs per loop

    In [17]:
    %%timeit
    DF_naive = pd.DataFrame()
    for i in range(DF_test.shape[0]):
    #Get first 2 columns
    first2cols = list(DF_test.ix[i][:-1])
    #Check if value is greater than threshold
    binary_value = [int((bool(float(DF_test.ix[i][-1]) > threshold)))]
    #Create series object
    SR_row = pd.Series( first2cols + binary_value,name=i)
    #Add to empty dataframe container
    DF_naive = DF_naive.append(SR_row)
    10 loops, best of 3: 39.3 ms per loop


    the np.where version is over 100x faster, admittedly your code is doing a lot of unnecessary stuff but you get the point







    share|improve this answer














    share|improve this answer



    share|improve this answer








    edited Feb 25 '16 at 23:18

























    answered Feb 25 '16 at 22:32









    EdChumEdChum

    174k32369319




    174k32369319













    • When I run this, the entire column value is then filled up with 1s. np.where(DF_test['value'] > 0.85) returns (array([0, 1, 2, 3, 4]),) and DF_test['value'] > 0.85 returns True everywhere. Any idea why that happens? I copy-pasted DF_test from above.

      – Cleb
      Feb 25 '16 at 23:08






    • 1





      You may need to convert the DF_test['value'] dtype first DF_test['value'] = DF_test'].astype(float) otherwise I haven't a clue

      – EdChum
      Feb 25 '16 at 23:11











    • That's it, thanks.

      – Cleb
      Feb 25 '16 at 23:12






    • 1





      @Cleb the OP created a heterogenous np.array as the data for the df, this made all the values in 'value' column into strings hence the need to convert the dtype

      – EdChum
      Feb 25 '16 at 23:15








    • 1





      Ok, you might want to add this to your answer. +1 from my side.

      – Cleb
      Feb 25 '16 at 23:15



















    • When I run this, the entire column value is then filled up with 1s. np.where(DF_test['value'] > 0.85) returns (array([0, 1, 2, 3, 4]),) and DF_test['value'] > 0.85 returns True everywhere. Any idea why that happens? I copy-pasted DF_test from above.

      – Cleb
      Feb 25 '16 at 23:08






    • 1





      You may need to convert the DF_test['value'] dtype first DF_test['value'] = DF_test'].astype(float) otherwise I haven't a clue

      – EdChum
      Feb 25 '16 at 23:11











    • That's it, thanks.

      – Cleb
      Feb 25 '16 at 23:12






    • 1





      @Cleb the OP created a heterogenous np.array as the data for the df, this made all the values in 'value' column into strings hence the need to convert the dtype

      – EdChum
      Feb 25 '16 at 23:15








    • 1





      Ok, you might want to add this to your answer. +1 from my side.

      – Cleb
      Feb 25 '16 at 23:15

















    When I run this, the entire column value is then filled up with 1s. np.where(DF_test['value'] > 0.85) returns (array([0, 1, 2, 3, 4]),) and DF_test['value'] > 0.85 returns True everywhere. Any idea why that happens? I copy-pasted DF_test from above.

    – Cleb
    Feb 25 '16 at 23:08





    When I run this, the entire column value is then filled up with 1s. np.where(DF_test['value'] > 0.85) returns (array([0, 1, 2, 3, 4]),) and DF_test['value'] > 0.85 returns True everywhere. Any idea why that happens? I copy-pasted DF_test from above.

    – Cleb
    Feb 25 '16 at 23:08




    1




    1





    You may need to convert the DF_test['value'] dtype first DF_test['value'] = DF_test'].astype(float) otherwise I haven't a clue

    – EdChum
    Feb 25 '16 at 23:11





    You may need to convert the DF_test['value'] dtype first DF_test['value'] = DF_test'].astype(float) otherwise I haven't a clue

    – EdChum
    Feb 25 '16 at 23:11













    That's it, thanks.

    – Cleb
    Feb 25 '16 at 23:12





    That's it, thanks.

    – Cleb
    Feb 25 '16 at 23:12




    1




    1





    @Cleb the OP created a heterogenous np.array as the data for the df, this made all the values in 'value' column into strings hence the need to convert the dtype

    – EdChum
    Feb 25 '16 at 23:15







    @Cleb the OP created a heterogenous np.array as the data for the df, this made all the values in 'value' column into strings hence the need to convert the dtype

    – EdChum
    Feb 25 '16 at 23:15






    1




    1





    Ok, you might want to add this to your answer. +1 from my side.

    – Cleb
    Feb 25 '16 at 23:15





    Ok, you might want to add this to your answer. +1 from my side.

    – Cleb
    Feb 25 '16 at 23:15













    0














    Since bool is a subclass of int, i.e. True == 1 and False == 0, you can convert a Boolean series to its integer form:



    DF_test['value'] = (DF_test['value'] > threshold).astype(int)


    Generally, including most uses in computation or indexing, the int conversion is not necessary and you may wish to forego it altogether.






    share|improve this answer




























      0














      Since bool is a subclass of int, i.e. True == 1 and False == 0, you can convert a Boolean series to its integer form:



      DF_test['value'] = (DF_test['value'] > threshold).astype(int)


      Generally, including most uses in computation or indexing, the int conversion is not necessary and you may wish to forego it altogether.






      share|improve this answer


























        0












        0








        0







        Since bool is a subclass of int, i.e. True == 1 and False == 0, you can convert a Boolean series to its integer form:



        DF_test['value'] = (DF_test['value'] > threshold).astype(int)


        Generally, including most uses in computation or indexing, the int conversion is not necessary and you may wish to forego it altogether.






        share|improve this answer













        Since bool is a subclass of int, i.e. True == 1 and False == 0, you can convert a Boolean series to its integer form:



        DF_test['value'] = (DF_test['value'] > threshold).astype(int)


        Generally, including most uses in computation or indexing, the int conversion is not necessary and you may wish to forego it altogether.







        share|improve this answer












        share|improve this answer



        share|improve this answer










        answered Nov 18 '18 at 23:44









        jppjpp

        97.7k2159109




        97.7k2159109






























            draft saved

            draft discarded




















































            Thanks for contributing an answer to Stack Overflow!


            • Please be sure to answer the question. Provide details and share your research!

            But avoid



            • Asking for help, clarification, or responding to other answers.

            • Making statements based on opinion; back them up with references or personal experience.


            To learn more, see our tips on writing great answers.




            draft saved


            draft discarded














            StackExchange.ready(
            function () {
            StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fstackoverflow.com%2fquestions%2f35639588%2fmost-efficient-way-to-convert-values-of-column-in-pandas-dataframe%23new-answer', 'question_page');
            }
            );

            Post as a guest















            Required, but never shown





















































            Required, but never shown














            Required, but never shown












            Required, but never shown







            Required, but never shown

































            Required, but never shown














            Required, but never shown












            Required, but never shown







            Required, but never shown







            Popular posts from this blog

            Guess what letter conforming each word

            Port of Spain

            Run scheduled task as local user group (not BUILTIN)