Formula Forensics No. 005 – Zebras and Checker-Boards

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This week in Formula Forensics we’ll look at, Zebra Stripes and Checker-board Conditional Formatting.

This idea is inspired by a number of posts over the past few years asking about zebra stripes but specifically BobR who in in June 2011, also asked about Checkerboards in the post: Want to be an excel conditional-formatting Rock Star, Comment No. 154.

I got the conditional format for alternating row and column colors,

Is there a conditional format to make it a checkerboard whereas the cell A2 will remove either the conditional for the row or column and then alternately to A4, B1, B3 etc?


Chandoo responded fairly quickly with this Conditional Formatting formula:

=IF(MOD(ROW(),2)=1,MOD((ROW()-1)*8+COLUMN(),2)=0,MOD((ROW()-1)*8+COLUMN(),2)=1)

Unbeknownst to Chandoo I posted this about a minute later:

=ISODD(ROW()+COLUMN())

Both formula correctly answer BobR’s question.

So today we’re going to pull apart Zebra Stripes and Checker Boards and see what makes them tick.

As always you can follow along in a download file here: Download File.

 

ZEBRA STRIPES

Zebra Stripes as Conditional Formatting is simply applied using a simple formula within Conditional Formatting.

=MOD(ROW(),2)=0

Conditional Formatting requires a formula that returns a boolean “True” to apply a format or a Boolean “False” to not Apply a format.

So the formula is better read as: If MOD(ROW(),2)=0

And  If MOD(ROW(),2)=0, the formula will evaluate as True

This is best evaluated as 3 columns on a worksheet.

In cells

B5:B10 The formula =Row() returns the Row Number

C5:C10 The formula =Mod(Row() ,2) returns the Mod of Row Number, divided by 2

The Mod function returns the remainder of the division of the Row Number divided by 2,

So in Row 5, Mod(Row(),2) = Mod(5, 2) = 5/2 = 2 Remainder 1 = 1

and in Row 6, Mod(Row(),2) = Mod(6, 2) = 6/2 = 3 Remainder 0 = 0

D5:D10 The formula =Mod(Row() ,2)=0 checks the remainder against the value 0

This is what evaluates to either True or False depending on the Row number.

Where the Values are True the Format will be applied (Even Rows)

The Conditional Formatting can be applied to Odd Rows If the Formula is slightly altered

=Mod(Row() ,2)=1

 

Similarly the formatting can be applied to Columns using

=MOD(COLUMN(),2)=0/1

 

 

CHECKER BOARDS

RobR received two responses to his Checker-Board Conditional Formatting request.

=IF(MOD(ROW(),2)=1,MOD((ROW()-1)*8+COLUMN(),2)=0,MOD((ROW()-1)*8+COLUMN(),2)=1)

and

=ISODD(ROW()+COLUMN())

Lest see what’s inside these two formula.

 

=IF(MOD(ROW(),2)=1,MOD((ROW()-1)*8+COLUMN(),2) =0, MOD( (ROW() -1)*8+COLUMN(),2)=1)

This is a simple If Formula with 3 components

=IF(MOD(ROW(),2)=1,MOD((ROW()-1)*8+COLUMN(),2)=0,MOD((ROW()-1)*8+COLUMN(),2)=1)

If Condition        MOD(ROW(),2)=1

Value if True:     MOD((ROW()-1)*8+COLUMN(),2)=0

Value if False:    MOD((ROW()-1)*8+COLUMN(),2)=1

The If Condition is already known to us, as it’s the same formula used in the Zebra Stripes above.

It evaluates to True when it is on an Odd Row.

So when it is an Odd numbered Row Excel will look at MOD((ROW()-1)*8+COLUMN(),2)=0

And when it is an Even numbered Row Excel will look at MOD((ROW()-1)*8+COLUMN(),2)=1

We can notice that these are the same formulas which have a different ending of =0 and =1

MOD((ROW()-1)*8+COLUMN(),2)=0

This section Takes each Row subtracts 1 and then multiplies this number by 8. This can be expressed as simply as saying multiply the Row * 8.

This will always return an Even Number and could have been simplified to Row()*2

MOD((ROW()-1)*8+COLUMN(),2)=0

The next bit adds the column number to the previous Even Number.

So now this part will be Odd when the column is Odd and Even when the column is Even.

MOD((ROW()-1)*8+COLUMN(),2)=0

The remainder of the formula is the same as the Zebra Stripes formula.

An Odd Number (Odd Columns) in the section above will return a 1 as the result of =Mod(Odd,2)

An Even Number (Even Columns) in the section above will return a 0 as the result of =Mod(Odd,2)

When evaluated against 0 will return True for Even Columns and False for Odd Columns.

Now the exact same happens in the False section of the If formula except that it is evaluated against 1.

 

=ISODD(ROW()+COLUMN())

I tackled this problem from a different direction to Chandoo.

Knowing that Even + Even = Even and Even + Odd = Odd and that the row and Column Numbers increase in each direction by 1 each Row/Column, it was simply a matter of adding the Row and Column numbers together and checking if it was Odd or Even

The Excel function IsOdd() and IsEven() both return a Boolean “True” if the contents are Odd or “Even” respectively. This negates an external truth check as described above.

This is easily shown by adding a formula to the Checker area

=Row()+Column()

Excel 2003: The above formula won’t work in Excel 2003.

Try this instead =Mod(Row()+Column(),2)=1


If the alternate shading is required a switch to

=ISEVEN(ROW()+COLUMN())

Does the trick.

Excel 2003: The above formula won’t work in Excel 2003.

Try this instead =Mod(Row()+Column(),2)=0


Learn More About Conditional Formatting Here:

http://chandoo.org/wp/2009/03/13/excel-conditional-formatting-basics/

and

http://chandoo.org/wp/2008/03/13/want-to-be-an-excel-conditional-formatting-rock-star-read-this/

and

http://chandoo.org/wp/2008/10/14/more-than-3-conditional-formats-in-excel/

 

DOWNLOAD

You can download a copy of the above file and follow along, Download Here.

 

OTHER POSTS IN THIS SERIES

You can learn more about how to pull Excel Formulas apart in the following posts

Formula Forensics 001 – Tarun’s Problem

Formula Forensics 002 – Joyce’s Question

Formula Forensics 003 – Lukes Reward

Formula Forensics 004 – Freds Problem

 

We Need Your Help !

If you have a neat formula that you would like to share and explain, try putting pen to paper and draft up a Post as Luke did in Formula Forensics 003. or this post.

If you have a formula that you don’t understand and would like explained but don’t want to write a post also send it in to Chandoo or Hui.

 

 

 

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30 Responses to “Rescue oddly shaped data – Battle between Formulas, VBA and Power Query”

  1. MF says:

    Nice use of Power Query! Power Query is simply awesome! But somehow a lot of people are punishing themselves by not using it (not learning it).

    An imperfect 4th approach for consideration... no codes at all...
    Select myrange.
    Go to Special --> Blank
    Delete Cell --> Shift cell left
    90% done... now we just need to move the data of 2nd column to the bottom of 1st column
    Of course... Power Query is the best.
    Cheers,

  2. There is another way but it involves multiple steps:
    Copy the values in column E, move the cursor to F5, Paste Special with Skip Blanks, OK
    Copy the values in column D, move the cursor to F8, Paste Special with Skip Blanks, OK
    And so on.
    This works perfectly, albeit a little clumsily apart from the values in B17 and C16, which can be moved with simple copy and paste

  3. Robson says:

    Power Query Forever! I do not know how I survived for so long without knowing and using this tool, I can not recommend it to my colleagues, but by the way they prefer to suffer to learn.

    My congratulations here from Brazil.

  4. Haz says:

    I rolled my eyes when I saw that data

    Using decimal places is a nice trick to order data, thanks for that

    And tweaking the first formula a bit, you can use OFFSET instead of INDIRECT

    =OFFSET($A$1, MIN(IF(myrange, ROW(myrange)), ROWS(A$1:A1))-1, RIGHT(TEXT(MIN(IF(myrange, ROW(myrange) + COLUMN(myrange)*0.00001), ROWS(A$1:A1)), ".00000"), 5)-1)

    • Michael Connor says:

      Tried the above formula with the downloaded oddly shaped data file and I could not get it to work. I get #value without ctrl+shift+enter, and #ref with ctrl+shift+enter.

      • Haz says:

        Sorry, it was SMALL, not MIN.
        Add with CTRL+SHIFT+ENTER.

        • Michael Connor says:

          Thank you for your formula. Like the indirect formula I tested this one in older versions of EXCEL and it worked without ALTERATION in EXCEL 95. Very impressive.

  5. Bertie Hechter says:

    Too complicated

    Use =Sum to summarize all the sells to the left and Bobs Your Uncle

  6. Michael Connor says:

    I tested this formula in versions of Excel all the way back to Excel 95

    =IF(ISERROR(INDIRECT("R"&SUBSTITUTE(TEXT(SMALL(IF(MyRange"",ROW(MyRange)+COLUMN(MyRange)*0.00001),ROWS(A$1:A9)),"00000.00000"),".","C"),FALSE)),"",(INDIRECT("R"&SUBSTITUTE(TEXT(SMALL(IF(MyRange"",ROW(MyRange)+COLUMN(MyRange)*0.00001),ROWS(A$1:A9)),"00000.00000"),".","C"),FALSE)))

    So there are multiple ways of cleaning up messy data by formulas.

    • Chandoo says:

      Wow.. Excel 95. Who knew people still use that. But as you have shown, Excel has all these beautiful and powerful functions for 23 years. It has data sciency stuff before DS was even a thing.

      • Michael Connor says:

        I had a problem with pasting the formula in the original post.
        Formula should be: =IF(ISERROR(INDIRECT("R"&SUBSTITUTE(TEXT(SMALL(IF(myrange"",ROW(myrange)+COLUMN(myrange)*0.00001),ROWS(A$1:A1)),"00000.00000"),".","C"),FALSE)),"",(INDIRECT("R"&SUBSTITUTE(TEXT(SMALL(IF(myrange"",ROW(myrange)+COLUMN(myrange)*0.00001),ROWS(A$1:A1)),"00000.00000"),".","C"),FALSE)))

        EXCEL even in a 16 bit version, is a very robust and capable program.

  7. Michael Connor says:

    I don't like the VBA code. If you have a blank row in MyRange, the last entry in the range is doubled up in the paste.here range.

    • Chandoo says:

      Not really. The macro is writing one cell at a time from paste.here. You have to clean the range before, which I was too lazy to write. But a line like Range(range("paste.here"), range("paste.here").end(xldown)).clearcontents should do the trick.

      • Michael Connor says:

        Adding Range(range("paste.here"), range("paste.here").end(xldown)).clearcontents fixed the problem.

  8. A Rakesh Patro says:

    for step split column by delimiter i am not getting option of split into rows or columns. Can you help me in this

  9. Marc says:

    Thanks Chandoo for promoting Power Query.

    To simplify further, you can "Unpivot Columns" instead of right click on the newly created column and split it by comma in to rows in step 3 of Power Query.

  10. johan says:

    i used

    =LOOKUP(10000,B5:F5)

    and got the answers. I just plagiarized this formula somewhere and use it, maybe you can explain why it works.
    Regards

    • Chandoo says:

      @Johan... I am not sure if the formula works correctly. When I tested it with the sample data in this post, it showed #N/As in two cells. Essentially, it will only give first value in each row. So if a row has multiple values, then subsequent values are missed. LOOKUP() function goes thru a list and finds the first value that is less than or equal to the input - in this case 10000 in B5:F5.

  11. Ben says:

    I have the need to convert pdf's to excel on occasion and they often come out a mess like this. I have used:

    Cell G2 =COUNT(myrange)
    Cell G3 =IFERROR(IF(G2-1<1,"",G2-1),"") copied down to G100
    Cell H2 =IFERROR(LARGE(myrange,G2),"") copied down to H100

  12. Patrick says:

    Waouw...

    =IFERROR(INDIRECT("R" & SUBSTITUTE(TEXT(SMALL(IF(myrange "", ROW(myrange) + COLUMN(myrange)*0.00001),
    ROWS(A$1:A1)), "00000.00000"), ".", "C"), FALSE), "")

    but CTRL Shift Enter with {} before and after 🙂 😀

  13. Peter B says:

    Another possibility.
    This assumes that you have a row index 'k' to use in the SMALL function and a column index 'h' to identify the columns of 'myRange'.
    If you define 'coord' to refer to
    =k+h/10 [assuming h<10]
    then it will be possible to recover values later based upon location within 'myRange'. The formula 'nb' that identifies non-blanks by coordinates is given by
    = SMALL( IF(myRange"", coord), k )
    Finally, to unpick the pieces
    = INDEX( myRange, INT(nb), 10*MOD(nb, 1) )

  14. Peter B says:

    Whilst I am here and making trouble the PQ solution is also a tad over-complicated. All that is needed is to unpivot the entire table and remove the Attribute column.

    The advanced editor would show
    let
    Source = Excel.CurrentWorkbook(){[Name="myRange"]}[Content],
    #"Unpivoted Columns" = Table.UnpivotOtherColumns(Source, {}, "Attribute", "Value"),
    #"Removed Columns" = Table.RemoveColumns(#"Unpivoted Columns",{"Attribute"})
    in
    #"Removed Columns"

  15. vivian.liu says:

    1.fill the blank cells with 0
    2.the requested column value=sum of those mess number column
    but this can be used in only one column has value

  16. Juan Carlos Barreto says:

    Chandoo

    And if we use the formula SEARCH (100000000, B5: F5)

    JC

  17. Daniel Dion says:

    Another approach with Power Query, it will still work if the number of columns changed:
    let
    Source = Excel.CurrentWorkbook(){[Name="myrange"]}[Content],
    #"Added Custom" = Table.AddColumn(Source, "List", each Record.ToList(_)),
    #"Removed Other Columns" = Table.SelectColumns(#"Added Custom",{"List"}),
    #"Expanded LIst" = Table.ExpandListColumn(#"Removed Other Columns", "List"),
    #"Filtered Rows" = Table.SelectRows(#"Expanded LIst", each ([List] null))
    in
    #"Filtered Rows"

  18. Bob says:

    Nowadays, you can just use TOCOL on Excel 2024, MS 365, and Web Excel. It has a parameter to ignore blanks/errors/both.

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