Formula Forensics. 009 – Pradhishnair’s Chainage Problem

A common Forum question and one that Chandoo has written about a few times is, Does my data overlap with another range?

Last week, Pradhishnair, asked in the Chandoo.org Forums “I need to find if the values between range D2:E2 are overlapping in any of the following rages, if yes then where? (may be row number)”

I answered with an array formula:

{=”Overlap Row S.no. = ” &MIN(IF((D3:$D$41<=E2) *(E3:$E$41>=D2) >0, (A3:$A$41)))}

Which returns ether:

Overlap Row S.no. = x (If there is an overlap)

or

Overlap Row S.no. = 0 (If there is no overlap)

So today in Formula Forensics we will take a look at how the above formula works with a worked example.

 

Chainage

As always you can follow along with a worked example. This is a subset of Pradhishnair’s Data to simplify the length of the equations, but otherwise is the same as the original post: Download Here

Pradhishnair’s data consists of a list of chainages. Chainages are measurements of distances from a fixed point and relate to a segment of something. Chainage From is to the closest end of the segment and and Chainage To is to the furthest end of the segment and by default these are in order, that is To is always greater than From.

Using this we can check for overlapping data by simply checking if the From is less than the remaining To’s or the To value is greater than the remaining From’s

This is done for each row compared to the remaining rows of data by the array formula

=”Overlap Row S.no.: ” & MIN(IF((D3:$D$41<=E2) *(E3:$E$41>=D2) >0, (A3:$A$41))) Ctrl Shift enter

We can see that the above equation simply joins

“Overlap Row S.no.: “

To the result of

MIN(IF((D3:$D$41<=E2) *(E3:$E$41>=D2) >0, (A3:$A$41)))

Using the & operator

It will return:

Overlap Row S.no. = 0 if there is no overlap

Or

Overlap Row S.no. = x If there is an overlap.

So the function

MIN(IF((D3:$D$41<=E2) *(E3:$E$41>=D2) >0, (A3:$A$41)))

Is used to return the minimum value of an If() formula which is its only component

The If() statement usually has three components:

=If( Condition, Value if True, Value if False)

In our case, I will evaluate Row 2, Particularly Cell G2, against the remaining entries in the two lists.

=If((D3:$D$41<=E2) *(E3:$E$41>=D2) >0, (A3:$A$41))

Condition:  (D3:$D$41<=E2) *(E3:$E$41>=D2) >0

Value if True:  (A3:$A$41), This is just the S.No. in Column A

Value if False:  Note that the If statement has no Value if it is False, I could put any value there eg: -1 or 0, but Excel evaluates it to 0 anyway so it hasn’t been used.

 

The If Statement says If (D3:$D$41<=E2) *(E3:$E$41>=D2) >0, then return (A3:$A$41)

What the condition is saying is If the To Data in the Current Row, Row 2, is Greater than or equal to the other From Values or the From Data in the Current Row, Row 2, is Less than the other To Value, Then this is True

To check this, in Cell I2, enter  =(D3:$D$41<=E2) *(E3:$E$41>=D2) and evaluate it with F9 instead of Enter

Excel returns ={1;1;0;0;0;0;0;0;0}

Excel is showing us that the first and second entries have overlapping data.

Which we can see if we look at the data

The >0 at the end of the (D3:$D$41<=E2) *(E3:$E$41>=D2) >0, transforms the array of 0’s and 1’s to an array of Falses and Trues

To check this, in I3, enter  =(D3:$D$41<=E2) *(E3:$E$41>=D2)>0 and evaluate it with F9 instead of Enter

Excel returns ={TRUE;TRUE;FALSE;FALSE;FALSE;FALSE;FALSE;FALSE;FALSE}

Now the If Statement will be True for the first two entries in the array and so will evaluate the Value if True component of the If Formula:  (A3:$A$41)

We can check this

In cell I4 enter

=IF((D3:$D$41<=E2) *(E3:$E$41>=D2) >0, (A3:$A$41)) and press F9 instead of Enter

Excel returns

={2;3;FALSE;FALSE;FALSE;FALSE;FALSE;FALSE;FALSE}

Which is the array of S.No’s which match our criteria

Now Min comes in

=MIN({2;3;FALSE;FALSE;FALSE;FALSE;FALSE;FALSE;FALSE})

Min returns the Minimum of these which is 2.

And that is appended to “Overlap Row S.No. = “

To return the answer:  Overlap Row S.No. = 2

Which is the first overlapping row with Row 1

 

Custom Number Formats

You may have noticed that the numbers in Pradhishnair’s worksheet look a bit odd with a + in the middle: eg: D3 displays 142+000

Pradhishnair is using a Custom Number Format of #+000

Select a Cell, eg D2, Press Ctrl 1, Select the Number Tab

If you select these cells and Press F2 Excel will show that the cells value is 142000

But Excel is using the custom Number format of #+000 to display the number with 3 digits after the +

 

Links to Overlapping Data Posts

http://chandoo.org/wp/2010/06/01/date-overlap-formulas/

http://chandoo.org/wp/2011/03/09/ec1-machine-scheduling-in-excel/

 

Download

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

 

Other Formula Forensics Posts

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

Formula Forensic Series:

 

We Need Your Help

I received 3 ideas over the Xmas break from readers, and these will feature in coming weeks.

However I do need more ideas for the rest of 2012 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 as Luke did in Formula Forensics 003. or like above.

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

 

ps: I’m traveling to Esperance; Western Australia for a short holiday with the family but have left a neat Formula Forensic for you for next week.

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54 Responses

  1. Hi Chandoo,
    This is awesome *****

    Found 6, just one remaining, and I think it should be in sheet2, as I found 1 in each sheet but didn’t found anything in sheet2 (till yet, I am keep looking).

    Very cleaver and amazing work, enjoyed a lot…
    Thanks Chandoo for this beautiful work.

    Wish you have great time at Hyderabad.

    Regards,

    Khalid

  2. Oh I found the last one, (custom format hmm)

    Truly Amazing and the beauty of this forum.

    You are an Artist Chandoo.

  3. Hi Chandoo,

    Wow, you really have magical skills. I am in office and this sheet ate up an hour of my time….didn’t expect that.

    I could find 5 of the 7 pandas. Didn’t know one could hide so much data in innocent looking excel sheets.

    Thanks!
    -Ranjith

  4. This was very fun and challenging, thanks for posting! I found all of them (well, Sheet1 was tricky, it seems you’re supposed to find the cell and type it in yourself?). Wasn’t sure if it was cool to post the answers here or not, though. Guess I’ll post SPOILER ALERTS so you can skip the rest of the message if you don’t want to see what I came up with.

    SPOILER! SPOILER! SPOILER!
    My answers appear below.

    Sheet1: type PANDA in cell PAN3489
    Sheet2: cell AB201
    Sheet3: cell J8 (Picture1)
    Sheet4: cell H9
    Sheet5: expand Chart1
    Sheet6: formula = “=MID(ADDRESS(9,2^3*23*59,4),1,3)&BIN2HEX(11011010)”
    Sheet7: named range (A1:I18)

    1. Wookie – I would love to get a walkthrough of HOW you figured out sheet 1 and a bit of a formula walkthrough for Sheet 6.

      Basically, I don’t know how I could have found that particular cell input message on Sheet 1.

      And I have no clue about the BIN2HEX part of the formula…before your hint I was able to get the output to read AN9DA. The change to MID and the addition of that ‘,1’ changed it to PANDA…

      1. Hi Rachel,

        To get to the cell in sheet 1 you can press: ctrl G. Then special and then data validation: all. This is also the way to find panda in sheet 7 😉

    2. I agree, this was a fun way to test your ability to navigate through the functionality of Excel! And since you already posted the SPOILER ALERT warning, I should be safe posting a reply to your comment with some solutions of my own… 🙂

      I found all the same solutions you did with a few minor changes:
      Sheet1: If you notice, cell PAN3489 has Custom formatting. You don’t have to type “PANDA”, just the number 1.
      Sheet6: The MID function works as you described, but you can also simply change the RIGHT function to the LEFT function without having to add in the start and end positions for MID.
      Sheet7: Yes, the range name for these cells is called PANDA, but you don’t see the actual word in the sheet unless you change the Zoom setting to 39% or less (hence the clue “Z” 39%).

      Thanks again for a great post, Chandoo!!

    3. I must admit sheet 7 defeated me, but I have some corrections

      Sheet 1 – you type =LEFT(ADDRESS(ROW(),COLUMN(),2),3)&DEC2HEX(ROW())
      in PAN3489 to get “PANDA1”. As it is the first panda. I think panda1 is appropriate, but maybe
      =LEFT(ADDRESS(ROW(),COLUMN(),2),3)&LEFT(DEC2HEX(ROW()),2)
      is better, because it leaves you with “PANDA”
      Sheet 6 – I corrected to
      =LEFT(ADDRESS(9,2^3*23*59,4),3)&BIN2HEX(11011010)
      Picky I know, but who uses mid when a right or a left will do?

      1. I know; that was weird. I did try using a LEFT formula, but I kept getting the $ prefix from the cell address. So I tried a couple of variations using MID and it gave me the result I needed. This is actually the first time I’ve ever tried using a MID formula starting at the first character, but I wasn’t trying to spend a lot of time on it, so I went with what worked.

  5. —–Spoilers———

    Alternate Solutions

    1) Type “1” (not the quotes) in PAN3489 and Excel will turn “1” into “PANDA”

    6) The formula Wookie lists also works with LEFT in place of MID

    Lot of fun. Solve time ~20 mins.

    1. @ Rob
      How this 1 turns to PANDA .. means How this is done by excel any formula or something in VBA

      Also how to reach cell PAN3489 .. there are no clues given on sheet 1

      1. @ Navdeep I found PAN3489 by going to “Formulas” and then “Name Manager” and saw there was a field called “Clue1” listed in the Name Manger that references 3489. Finding PAN as the column index was just a bit of a lucky guess through trial and error. Then a note in cell PAN3489 when you navigate there says to try “typing something.” I tried scrolling through the Format Cells menu to see if the text typed in the cell needed to be formatted a certain way, and noticed that “1= Panda” was listed in the custom text menu and tried it. A bit brute force, but I think the desired text entry.

  6. Sheet 1: The answer is not type in Panda. Type 1. There’s a special formatting that replaces 1 with Panda.

    Sheet 6: Just replace right with left, don’t worry about changing the numbers.

    Sheet 7: I found the named range, but don’t know what the Z 39% means. Thoughts?

  7. WOW! I’ve just found the secret eighth PANDA!
    Truly awesome!!!
    Am I the first one who figured that out, guys?

    Btw, thanks for the puzzle!

  8. It was truly a artists work
    chandoo you are grate
    all sheets are deigned different from each other

    @Wookiee: you have a good for others by posting the answers, Thank you too

  9. Guys I Got 8 PANDA in the workbook… 🙂
    [Look Chandoo has against played great trick by reserving one more ester egg, but we are also fan of none other than Chandoo, who can get hold of hidden 8th (untold) ester egg]

    Here is the full list:
    1) Sheet1: Type 1 in Cell PAN3489
    2) Sheet2: Goto Cell AB201
    3) Sheet3: Check the picture located above cell J8
    4) Sheet4: Goto Cell H8
    5) Sheet5: Cells, viz., A4, A10, A16, A21, A29 have all alphabets of PANDA
    6) Sheet5: Resize the chart to see PANDA
    7) Sheet6: Correct the formula as LEFT(ADDRESS(9,2^3*23*59,4),3)&BIN2HEX(11011010)
    8) Sheet7: Range A1:I18 is named as PANDA

    1. 1) Sheet1: Type 1 in Cell PAN3489
      2) Sheet2: Goto Cell AB201
      3) Sheet3: Check the picture in the cell J8
      4) Sheet4: Goto Cell H9
      5) Sheet5: Resize the chart to see PANDA
      6) Sheet6: Correct the formula as LEFT(ADDRESS(9,2^3*23*59,4),3)&BIN2HEX(11011010)
      7) Sheet7: Range A1:I18 is named as PANDA

    2. Actually, for sheet7, if you set the zoom to 39% or less, you will see the word PANDA. Yet another PANDA! 🙂

  10. Hi,
    i want to know how to manage bill wise manage vendor invoice and payment in excel please suggest.

    Thanks,
    Ram

  11. Hi Chandoo!

    You rock with these amazing skills!

    Sheet 1: ??
    Sheet 2: ??
    Sheet 3: Cell J8
    Sheet 4: Cell H9
    Sheet 5: A4, A10, A16, A21, A29
    Sheet 6: B2
    Sheet 7: ???

  12. I love this time of year and look forward to Chandoo’s egg hunts. Whilst I got all the pandas, I do not understand how sheet 7 works; Where is the source data and why does it only work when zoomed out to 39% or more?

      1. Ha ha, that’s fantastic. Thanks Hui. @Chandoo, thanks for yet another method to decrypt worksheets in order to re-build or explain them better to clients.

  13. These were fantastic and kept me intrigued until I could finish them. (Had to look here for help with Sheet1!) Definitely learning a lot about some new formulas. Awesome, Chandoo!

  14. Ok, just saw the notes on the Zoom 39% on Sheet 7. Can someone explain what’s happening here and why PANDA shows up at that level?

  15. Wow, great exercise.
    Tried and solved 5 out of seven and other two solved incorrectly (1 & 6).
    Thanks 🙂

  16. Wow.. Awesome set of puzzles Chandoo!!

    Am now trying to figure out how sheet 7 was prepared.. 39% Zoom setting logic.. Can someone help me with a hint?

    Thanks!

    1. Looks like this is an XL feature.. Zooming out the worksheets below 40% level, by default displays all named ranges (more than 2 cells)! Had not come across this till date..

  17. Great works! Was having FUN in finding the pandas. Thanks.

    btw, I used one basic function (Find, CTRL+F) to find 2 pandas. Simply Find “Panda” within “Workbook”… To my surprise, seems no one mentioned that in the process.

    On other other hand, Selection and Visibility Pane is a handy tool to see if there is “extra” shapes for locating pandas hidden in chart/picture.

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