Formula Forensic No. 021 – Find the 4th Slash !

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Last week at the Chandoo.org Forums, Senthilkumar_rm posed the question:

“I Have file name as

D:\Data\Personal\sramasam\desktop\Exceldata.xls

I want to find the position of the 4th slash “\”

What is a simple way ? ”

 

I proposed 3 answers being:

=FIND("\",A1,FIND("\",A1,FIND("\",A1,FIND("\",A1)+1)+1)+1)
=SEARCH("\",A1,FIND("\",A1,FIND("\",A1,FIND("\",A1)+1)+1)+1)
=FIND(CHAR(135),SUBSTITUTE(G5,"\",CHAR(135),4))

and Faseeh proposed a 4th answer:

=(LARGE(((MID($A1,ROW(INDIRECT("1:"&1024)),1))="\")*ROW(INDIRECT("1:"&1024)),2))

So today at Formula Forensics we will examine all these and see what and why they all work.

As usual at Formula Forensics you can follow along by downloading a Sample File.

 

Using the Find() function

The Initial formula I proposed was:

=FIND("\",A1,FIND("\",A1,FIND("\",A1,FIND("\",A1)+1)+1)+1)

This uses the Excel Find() function repeatedly inside itself

The Excel Find() function uses the following syntax

The second solution I proposed was the same as the Find solution except that it used the Excel Search( ) function.

You can see above that Find and Search have exactly the same syntax.

Why have 2 functions that are effectively similar ?

Search is Case Insensitive.

eg: Chandoo = cHanDoo

Find is Case Sensitive.

eg: Chandoo <> cHanDoo

We will discuss the solution using:

=FIND("\",A1,FIND("\",A1,FIND("\",A1,FIND("\",A1)+1)+1)+1)

But the solution and description are equally applicable to the search based solution:

=SEARCH("\",A1,FIND("\",A1,FIND("\",A1,FIND("\",A1)+1)+1)+1)

So Find has the syntax: =Find( Text, Within Text, [Start No.])

But our formula has 4 Find() functions, where do we start?

Start in the Middle.

In our example: =FIND(“\”,A1,FIND(“\”,A1,FIND(“\”,A1,FIND(“\”,A1)+1)+1)+1)

FIND("\",A1)

Text:                      “\”

Within Text:      A1

Start No:              Optional = 0

This will find the first \ in out text string and return the value 3.

Checkout Cell D13.

 

Stepping out one find =FIND(“\”,A1,FIND(“\”,A1,FIND(“\”,A1,3+1)+1)+1)

FIND("\",A1,3+1)

Text:                      “\”

Within Text:      A1

Start No:              3 + 1

This will find the Second \ in out text string by starting at position 3 + 1 and hence return the value 8.

Checkout Cell D15.

 

Stepping out one more find =FIND(“\”,A1,FIND(“\”,A1,8+1)+1)

FIND("\",A1,8+1)

Text:                      “\”

Within Text:      A1

Start No:              8 + 1

This will find the Third \ in out text string by starting at position 8 + 1 and hence return the value 17.

Checkout Cell D17.

 

Finally we arrive at the outer Find, =FIND(“\”,A1,17+1)

=FIND("\",A1,17+1)

Text:                      “\”

Within Text:      A1

Start No:              17 + 1

This will find the fourth \ in out text string by starting at position 17 + 1 and hence return the answer of 26.

Checkout Cell D19.

Advantages:

Relatively simple formula

Disadvantage:

This formula must be manually re-made if you want to find either the 3rd, 5th or another occurrences.

 

Using the Find() & Substitute() functions

=FIND(CHAR(135),SUBSTITUTE(A1,"\",CHAR(135),4))

Using the Find() & Substitute() formula shown above take a different approach to solving the problem to the pure Find() based solution.

This solution works by using a feature of the substitute function that allows for the substitution of the Nth chosen character with another character.

The Excel Substitute() function has the following syntax :

In our example:

=FIND(CHAR(135),SUBSTITUTE(A1,"\",CHAR(135),4))

Text:             A1

Old_Text:    "\"

New_Text:   Char(135)

Instance_Num:     

So substitute will replace the 4th Slash with the character Ascii code 135. Char 135 or a character was chosen as it is unlikely to be used in normal text. If it is used another character code should be chosen.

The Find Function will then look for Char(135) in the Substituted text and return the position number of it.

Replacing the Char(135) with a Char(5) characters reduces this formula to 44 characters!

Advantages:

This is a very clear formula to understand

You can easily look for the 3rd or 5th character without changing the formula

Disadvantage:

If the Text String already contains the Char(135) character then another must be chosen or the formula will be wrong.

Using Faseeh’s Array Formula.

={(LARGE(((MID($A1,ROW(INDIRECT("1:"&1024)),1))="\")*ROW(INDIRECT("1:"&1024)),2))}

Faseeh’s Formula is based around the Large() function

=(LARGE(((MID($A1,ROW(INDIRECT("1:"&1024)),1))="\")*ROW(INDIRECT("1:"&1024)),2)) Ctrl Shift Enter

The Excel Large() function has the following syntax:

In Faseeh’s Formula we see

=LARGE(((MID($A1,ROW(INDIRECT("1:"&1024)),1))="\")*ROW(INDIRECT("1:"&1024)),2)

Array: ((MID($A1,ROW(INDIRECT("1:"&1024)),1))="\")*ROW(INDIRECT("1:"&1024))

K:     2

So we can see that the Large() function is looking for the Second Largest value (K=2) in the array.

Lets pull the Array apart

The Array consists of two parts separated by a Multiplication sign.

((MID($A1,ROW(INDIRECT("1:"&1024)),1))="\")*ROW(INDIRECT("1:"&1024))

We can look at each part separately and then combine them at the end.

The first part MID($A1,ROW(INDIRECT("1:"&1024)),1)="\"

Consists of MID($A1,ROW(INDIRECT("1:"&1024)),1) and an = "\"

In a Blank cell Say E25 enter =MID($A1,ROW(INDIRECT("1:"&1024)),1) and press F9 Not Enter

Excel responds with an Array: = {"D";":";"\";"D";"a";"t";"a";"\";"P";"e";"r";"s";"o";"n";"a";"l";"\";"s";"r";"a";"m";"a";"s";"a";"m";"\";"d";"e";"s";"k";"t";"o";"p";"\";"E";"x";"c";"e";"l";"d";"a";"t";"a";".";"x";"l";"s";""; … ;"" ;""}

We can see here that Excel has taken the value of cell A1 and broken it up as text and put each character into an element in the array.

So the whole line: MID($A1,ROW(INDIRECT("1:"&1024)),1)="\"

Is evaluating this array against a "\" and should return an array of True/False values

In a Blank cell E27 put the following: =MID($A1,ROW(INDIRECT(“1:”&1024)),1)=”\” and press F9 Not Enter

Excel responds with a an array of 1024 Falses

={FALSE;FALSE;FALSE; …. ;FALSE;FALSE}

That’s not quite what we expected ?

The Function is =MID($A1,ROW(INDIRECT(“1:”&1024)),1)=”\”

Which is a Boolean way of saying if the Middle 1 Character of Cell A1 from position 1 to 1024  is = “\” return an Array of the values.

What is going on here?

If we modify the formula slightly to =(MID($A1,ROW(INDIRECT(“1:”&1024)),1)=”\”)*1

And evaluate (F9) that in cell E28

Excel returns an Array ={0;0;1;0;0;0;0;1;0;0;0;0;0;0;0;0;1;0;0;0;0;0;0;0;0;1;0;0;0;0;0;0;0;1;0; … ;0;0}

The array consists of 1024 0’s except for the positions where the Array = “\” where it has 1’s.

 

Lets go inside this part of the formula and see what is happening.

=(MID($A1,ROW(INDIRECT(“1:”&1024)),1)

INDIRECT(“1:”&1024) returns a Reference of 1:1024 as Text which Indirect converts to a Range from row 1 to row 1024

=(MID($A1,ROW(INDIRECT(“1:”&1024)),1)

Row() returns the row number of the array

=(MID($A1,ROW(INDIRECT(“1:”&1024)),1)

Mid takes the Character from A1 starting at Position Row(INDIRECT(“1:”&1024)) and returns 1 character.

This effectively allows the array to retrieve each character from the Text of a1.

The Second Part

((MID($A1,ROW(INDIRECT("1:"&1024)),1))="\")*ROW(INDIRECT("1:"&1024))

We have seen that the first part of the equation

((MID($A1,ROW(INDIRECT("1:"&1024)),1))="\")

Returns an Array of 1’s and 0’s where the formula matched the "\" character.

The second part of the equation: ROW(INDIRECT("1:"&1024)) is used to return the position of the characters.

In a blank cell E30 type

=ROW(INDIRECT("1:"&1024)) and press F9 Not Enter

Excel will respond with ={1;2;3;4;5;6;7;8; … ;1023;1024}

This is a list of the Rows from the Range 1:1024

 

We can now return to the original function

((MID($A1,ROW(INDIRECT(“1:”&1024)),1))=”\”)*ROW(INDIRECT(“1:”&1024))

In a blank cell say E32 type: =((MID($A1,ROW(INDIRECT(“1:”&1024)),1))=”\”)*ROW(INDIRECT(“1:”&1024)) and press F9 Not Enter

Excel will respond with:

={0;0;3;0;0;0;0;8;0;0;0;0;0;0;0;0;17;0;0;0;0;0;0;0;0;26;0;0;0;0;0;0;0;34;0; … ;0;0;0;0}

This array is the combination of the two arrays discussed above.

That is it is the 1’s and 0’s where the \’s are multiplied by the Row Numbers.

We can see that the positions where the \’s are have the position numbers listed

={0;0;3;0;0;0;0;8;0;0;0;0;0;0;0;0;17;0;0;0;0;0;0;0;0;26;0;0;0;0;0;0;0;34;0; … ;0;0;0;0}

The Large Function in the original Formula:

=LARGE(((MID($A1,ROW(INDIRECT("1:"&1024)),1))="\")*ROW(INDIRECT("1:"&1024)),2)

Then extracts the second largest number, which in this case is the value 26

Advantages:

To assign the position number you need to know how many \’s are in the formula to start with

Disadvantages:

This is an Array Formula which some people struggle with

How the formula works is difficult to workout or explain.

 

Modified Formula

With a small modification you can introduce a constant to allow a variable n’th character to be retrieved without knowing how many \’s there were originally.

=LARGE(((MID($A1,ROW(INDIRECT("1:"&LEN(A1))),1))="\")*ROW(INDIRECT("1:"&LEN(A1))),LEN(A1)-LEN(SUBSTITUTE(A1,"\",""))-4+1) Ctrl Shift Enter

Or

=LARGE(((MID($A1,ROW(INDIRECT("1:"&LEN(A1))),1))="\")*ROW(INDIRECT("1:"&LEN(A1))),LEN(A1)-LEN(SUBSTITUTE(A1,"\",""))-B1+1) Ctrl Shift Enter

Where cell B1 contains 4

Where 4 is the 4th character you want to find the location for.

You can examine how the replacement of 2 with LEN(A1)-LEN(SUBSTITUTE(A1,"\",""))-4+1 works

 

How Else Can You Solve Senthilkumar_rm’s Problem?

Your task is to find the location of the 4th Slash "\" in the text string: D:\Data\Personal\sramasam\desktop\Exceldata.xls

Can you solve Senthilkumar_rm’s problem another way?

Can you beat my 44 characters ?

Let us know in the comments below:

 

Download

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

 

Formula Forensics “The Series”

This is the 21st post in the Formula Forensics series.

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

Formula Forensic Series

 

Formula Forensics Needs Your Help

I need more ideas for future Formula Forensics posts and so I 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 like above or;

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

 

 

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24 Responses

  1. I’d suggest simply using the subtotal function and filtering the data using the Win/Loss column.  You get the same results and the formula is more comprehensible.

    1. @John

      That is one option.

      There are times however when you want to see the whole data table or a filtered subset and still want to produce summary reports against an unfiltered field.

  2. Is there a particular reason why you are using a comma and the unary (–) operator for the second array in the SUMPRODUCT formula?  It seems to work the same if you were to string the arrays together using the asterisk (*).  The advantage is that SUMPRODUCT treats the entire string of arrays as a single array.

  3. Is there a way to do this on a large set of data? As in ~100,000 rows? When I try I get an error because the formula becomes too long. It says the max length of a formula is 8,192 characters. Excel 2010.

  4. How do I incorporate a specific text within a cell for the second array. For instance, – -(C7:C13=”Apple”)
    when I chose a specific text the formula does not work.

    1. @RB

      I am not sure what is the issue as if I use the sample data in the post the following work fine

      Count:
      =SUMPRODUCT(SUBTOTAL(3,OFFSET(C7:C13,ROW(C7:C13)-MIN(ROW(C7:C13)),,1)), –(C7:C13=”L”))
      Sum:
      =SUMPRODUCT(SUBTOTAL(3,OFFSET(C7:C13,ROW(C7:C13)-MIN(ROW(C7:C13)),,1)),(C7:C13=”L”)*(D7:D13))

      You may want to check that there are no leading or trailing spaces in your list of Apples

      1. I should have given a better explanation. Heres my situation. I have a column with cells filled with names like Column 1, Column 2, Pier 1, Pier 2, etc. If the cell just contained Pier and searched for that it works. But because it has other characters in the cell its not recognizing the pier. So how can I extract specific characters of a string of text in this formula?

        Hopefully this was a better explanation

  5. Hello-

    This formula works pretty well for me except that it slow down excel and prevents some of my macros from working. I was wondering if there was a way to program this in VBA so that excel isn’t always trying to recalculate it. I would like to use a push of a button to get it to run then paste in a cell.

    Thanks!

  6. I am trying to sum filtered data in a column, but would want to ignore the negative values in the column. How to go about doing this?

      1. The negative values are required for reporting purposes, but their effect on the total is distorting the required output. Please advise.

  7. I have this working for counting and summing, however, I have a list and for the second array, I need a criteria. That is, I’m looking for b13:b200=”01.??.??” or =left((a1,2) or something like that. These types of criteria matches do not appear to work as I get a blank as a result.
    Thanks!

    1. @Bob

      As your formula b13:b200=”01.??.??” looks like you are trying to check the first day of the month of the range
      What about trying Day(B13:B200)=1

  8. Hai Experts,
    i understood this formula well and working fine in MS Excel 2013
    but when the same am trying to place in google Spreadsheet it shows error as
    “SUMPRODUCT has mismatched range sizes. Expected row count: 1. column count: 1. Actual row count: 2014, column count: 1.” and as a result #VALUE! Appears in cell.
    Can anyone please help me how would i get it done in Google Spread sheet
    or is there any other formula as a substitute for this.
    Thank you very much.

    1. @Vivek

      I don’t know

      I just downloaded the file and it is working fine and not showing that error

      Goto the Formulas, Calculation Options Tab and check that Calculation is set to Automatic

      What version of Excel and Windows are you using ?

  9. I know that this forum is for MS Excel, but I am trying to help someone who is working in Google Sheets. The below formula works in Excel but Google Sheets returns:
    “SUMPRODUCT has mismatched range sizes. Expected row count: 1. column count: 1. Actual row count: 39000, column count: 1.” and as a result #VALUE! Appears in cell.
    This is the same problem asked by Srichirin above. Does anyone know if there is a formula for Google Sheets that will replicate what MS Excel does?

    =SUMPRODUCT(SUBTOTAL(3,OFFSET($C$6:$C$39500,ROW($C$6:$C$39500)-MIN(ROW($C$6:$C$39500)),,1)),- -($C$6:$C$39500=H1),($D$6:$D$39500))

  10. Trying to find a SUMPRODUCT formula that counts the word Closed by date for the last 7 days in a filtered list.
    =COUNTIF(M:M,”>”&TODAY()-7) works ok for unfiltered count Column M contains Closure dates (blank if open) and Column L is Status Open or Closed

  11. I used this formula and worked like a charm! But, now I’ve been requested to use it but adding not one but two criteria in the same formula. For instance the sum I was doing added negative and positive numbers. I’ve been asked to use the exact same formula but adding that only positive numbers were considered… any idea on how to do this?

  12. Thank you so much brother literally I have been struggling since morning to get the sum of the filtered category, however, after reading your blog attentively i got my solution, so thanks a lot once again.

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