Formula Forensics No.004 – Fred’s Problem

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About 6 months ago, Fred asked a question on the Chandoo.org Forums: I need idea on a simpler formula

In column A I have the total sum product of C to AU
Line one has all the names.
A2 = (B2*C2)+(D2*E2)+(F2*G2)+(H2*I2)+(J2*K2)+(L2*M2)+…+(AT2*AU2)
A3 = (B3*C3)+(D3*E3)+(F3*G3)+…+(AT3*AU3)

Is there is simpler way by line to do this without clicking each cell on line 2?

I tried Sumproduct but I think I have received a wrong answer during testing.

 

Hui offered a Sumproduct Formula as a solution

=SUMPRODUCT((B2:AT2) * MOD(COLUMN(B2:AT2) -1, 2), (C2:AU2) * MOD(COLUMN(C2:AU2), 2))

and then followed up with a simpler Sumproduct Formula a day later

=SUMPRODUCT(B2:AT2 * C2:AU2 * (MOD(COLUMN(B2:AT2), 2) =0))

Let’s take a look at this second solution.

 

Setup the Problem

Copy the numbers 10,20 into alternate Cells A2:U2 or download the example file here: Example File (Excel 97-2010)

Copy this formula into B6: =SUMPRODUCT(B2:U2 * C2:V2 * (MOD(COLUMN(B2:U2), 2)=0))


Pull The Formula Apart

Lets take a look inside this formula and see how it works.

=SUMPRODUCT(B2:U2*C2:V2*(MOD(COLUMN(B2:U2),2)=0))

We can see that in the above formula the main function used in the formula is a Sumproduct Function.

=SUMPRODUCT(B2:U2*C2:V2*(MOD(COLUMN(B2:U2),2)=0))

Within the Sumproduct function there are 3 arrays, which are multiplied together

Array 1: B2:U2

Array 2: C2:V2

Array 3: (MOD(COLUMN(B2:U2),2)=0)

What’s in these arrays?

Array 1 is simply the range from B2:U2

Array 2 is simply the range from C2:V2, note that it is offset from the first array by 1 Column.

This is so that the first value of the Second Array matches the first value of the First Array. That is they are both in position 1 within there respective arrays.

Array 3 is where all the action is.

Enter  =(MOD(COLUMN(B2:U2),2)=0) into a cell and press F9

Excel returns: ={TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE}

Lets look at what is happening here

=(MOD(COLUMN(B2:U2),2)=0)

Mod returns the remainder of the first value Column(B2:U2) after dividing it by the second value 2.

Column(B2:U2) returns the Column Number for each cell in the Range B2:U2.

Because this part of the formula is in a Sumproduct formula it is evaluated as an Array Formula and hence it does this for each cell in the range B2:U2, thus returning an Array as the answer.

We can see that if we enter =MOD(COLUMN(B2:U2),2) into a cell and evaluate it with F9

={0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1}

However in this case we want to convert this from an array of Numbers to an array of True/False

A simple addition of an =0 does the trick

=(MOD(COLUMN(B2:U2),2)=0)

Now causes the formula to return: ={TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE}

So How does this go together with the other 2 arrays?

We now have 3 arrays:

Array 110,20,10,20,10,20,10,20,10,20,10,20,10,20,10,20,10,20,10

Array 220,10,20,10,20,10,20,10,20,10,20,10,20,10,20,10,20,10,20

Array 3: TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE

When Multiplying arrays, Excel multiplies the first value of each array and then the second value of each array, etc, effectively doing

={10*20*True, 20*10*False , 10*20*True, 20*10*False , 10*20*True, 20*10*False , 10*20*True, 20*10*False , 10*20*True, 20*10*False , 10*20*True, 20*10*False , 10*20*True, 20*10*False , 10*20*True, 20*10*False , 10*20*True, 20*10*False , 10*20*True}

You can see above that when the 3 arrays are multiplied it will only be the Odd entries in Arrays 1 & 2 which are evaluated by the Sumproduct, as all the even entries are multiplied by False which is equivalent to Zero

So the above evaluates to

={200,0, 200,0, 200,0, 200,0, 200,0, 200,0, 200,0, 200,0, 200,0, 200}

Sumproduct then takes over and adds the values together returning, 2000, the correct answer.

 

Problem Extension

After solving the problem, Fred decided to add a column between each entry in the data set.

The solution is posted in the forum and is also shown in the example file.

You can work through that formula at your leisure, except to say that it is similar to the solution above.

Alternate Solution

Luke correctly pointed out that the data was poorly arranged and the solution would be much simpler had the data been more logically arranged.

However as an Excel practioner we are often called to solve other peoples dirty work.

 

HINTS

You will notice that in the solution of this problem I have done a few small things that make solving the problem easier.

Use Smaller Subsets of the Data.

Instead of putting numbers from Columns B to AU as Fred has I have used a set from Column B to U.

This way I can see all the data on one Excel screen without scrolling as well as the formula links and extents when pressing F2 on the cell containing the formula.

Use Simple Numbers

Use numbers that you can manually check. In this example I can easily, manually, check that the answer should be 2000.

Evaluate

Where ever possible, enter sections of a formula in a cell and evaluate its output:

=(MOD(COLUMN(B2:U2),2)=0) and press F9

={TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE,TRUE,FALSE}

See how easily we can check that this section is returning the correct values.

 

OTHER POSTS IN THIS SERIES:

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

http://chandoo.org/wp/category/formula-forensics/

The link above, will show you all the posts in this series

 

WHAT FORMULAS WOULD YOU LIKE EXAMINED?

If you have any formulas you would like explained please feel free to leave a post here or send me an email:

If the formula is already on Chandoo.org or Chandoo.org/Forums, simply send the link to the post and a Comment number if appropriate.

If sending emails please attach an Excel file with the formula and data

 

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28 Responses to “FIFA Worldcup 2018 Excel Tracker – FREE Download”

  1. Andy F says:

    Good work as always - I liked the way you did the "menu" on the left hand side (although the buttons aren't lined up between tabs if I'm being ultra picky)

    Have you previously written about the method of extracting the Wikipedia page into Power Query? It's not something I recall seeing before.

    ps other geeky observsations:

    - the bracket columns are too narrow for the date & match number - and will need to be wider still when the team names get populated
    - match 51 should be Moscow (Luzhniki) for consistency
    - it's not possible to be 23 hours ahead of GMT - the International Dateline gets in the way! I think the maximum is 14. There are also a couple of countries who work to a quarter hour to make it really complicated!
    - There's a typo in the how-to - "compated" instead of compared

    • Chandoo says:

      Thanks for the lovely feedback. I have fixed almost all of them.

      1) button alignment: this is tricky as row heights can change between sheets.
      2) Column width is fixed now so bracket view looks better
      3) Updated the stadium name
      4) Did not bother with the 23 hours ahead thingie. This is more of a novelty feature 😛
      5) Fixed the type
      6) Fixed an issue with live score table. This should work as long as the points table is maintained in wikipedia page - https://en.wikipedia.org/wiki/2018_FIFA_World_Cup

      7) I have not discussed the technique of reading all tables on webpage to one big table. Watch out for a blog post on this soon.

      • Andy F says:

        Button alignment is one for the ultra-OCD sufferers 😉 There are ways, but only for those with too much time on their hands.

        • Chandoo says:

          Aah, Excel. The perfect tool for people like us. Everything (cells) is in same shape and size by default and aligned perfectly. 😀

          • Etienne says:

            Is there actually a way to copy row heights (in the same way you copy column widths?)

            By the way Chandoo, great post. I'm forwarding to my department. I actually use another query from the same page to automatically fill in the team names for the knock-out stages (I made one for round of 16 which I then duplicated and edited for quarter-finals etc.) This is incredible, I was always wondering how to do these type of queries from the web, and now I know 🙂

  2. Jake says:

    Hello!

    This is quite amazing and incredibly cool to use 🙂

    Testing the constraints of this sheets a few errors popped I noticed:
    - Vlookup Group E-H refers to column J instead of E (eg. Brazil gets the same points as Russia because the formula looks up Russia twice)
    - Power query only has 29 lines, the overview of has 32 but the 3 countries from group A are lost as the overview is refreshed - causing N/A in the group stage colums

    • Chandoo says:

      @Jake.. thank you. I am sorry for the errors. I could not test the live points table until the games began. I see my folly now. I have fixed both issues and uploaded a new file. As the points table relies on a wikipedia page, if someone decides to change the layout or rename a column it can seriously harm this template. I took some precautions in the Power Query layer to adjust column names dynamically etc, but it is not foolproof.

      Try downloading the newer version and let me know if you see something funny.

      • Jake says:

        No worries!
        Was able to fix the vlookup myself but the power query had me bit stumped 🙂 And wanted to give you a heads-up to everyone can enjoy it!

        Thanks for the awesome sheet!

  3. Darren G says:

    Hi,
    Thanks for sharing this world cup tracker. Certainly makes it more interesting when the data is current. As a newbie, it also helps to have a couple of mistakes to find whether unintentional or not.

    Thanks again

  4. Christian says:

    Hi,

    Your v-lookups in the "Group Stage" tab for groups E, F, G, and H (all the ones under column O) are pointing to the wrong country. They all point to column J, so whatever happens to the countries in column J will also be reflected for the countries in the groups in column O for that same row.
    Just thought I'd call that out. Thanks for the great work on this!

    • Chandoo says:

      @Christian... Thanks for trying this and letting me know about lookups. I have fixed the issue now. Please download latest version for that and few more fixes.

  5. Sheeloo says:

    Refresh All did not work correctly. Team names vanished though points were updated.

    • Chandoo says:

      @Sheeloo... Can you please try with latest version (download again using above links). I tested up to latest Iran's stunning win over Morocco and it works.

  6. Gsm says:

    Dear Chandoo

    Thanks a lot for this worksheet.

    However, while refreshing the data, I am getting error message as "Initialisation of Data Source failed".

    • Chandoo says:

      May I know what version of Excel you are using? Do you have internet connectivity? If you are familiar with Power Query, try tracing the steps in the query editor. And oh, first start with the latest version of file (link above).

  7. Andy F says:

    @Etienne - yes. Copy row, paste formats will do it, although obviously that will bring the formats of every cell in the row as well as the height.

  8. Rob Tsintas says:

    Latest version seems to be working well.

    One request: the Groups & Points tables on the Group Stage sheet have the team names pre-entered. This means they don't get sorted according to the results.
    On my copy, I've changed them to a lookup, so they appear in the same order as the points table. It would be good if you can do the same if/when you release a new update!

    Here's what I did. It's not the most elegant, but it works, and I didn't have much time to spend on it!

    Using helper values of 1,2,3,4 in columns I and N for each group, the formula for the first team name in group A (cell J4) is:

    =INDEX(points[Team],MATCH(OFFSET(J4,-(I4),0),points[Group],0)+(I4-1))

    This can be copied & pasted to the other team name cells.

    Cheers!

    • Chandoo says:

      Good suggestion. I have made changes to the points table to remove lookups and just show teams in the order they appear in the detailed table. This way, You will see top two teams on first two rows. We could highlight them as well (figured this would make it look like a bowl of M&Ms, so didn't bother) or highlight *YOUR* team.

  9. Paige says:

    I consider my Excel skills as above average but far from guru and I love how your little projects like this get me to look at data in a new way. I would like to expand on the data in the points table through the use of some calculations but I am a little challenged by the data coming across as text. The Pts column is easy to deal with, but I'm having problems with the GD. The negative goal differential looks like it may be noted with an en dash instead of a minus sign, but if I search for an en dash in the data Excel doesn't find any. I would like to include conversion to a minus sign in my little macro so I can get everything to numbers but so far I am not having any luck. Any thoughts? Thanks for your help.

    • Chandoo says:

      Thanks for such kind words 🙂

      I suggest adding an extra step in Power Query to convert points, GD & other columns to numbers. You can replace em dash in PQ. I did not do it as this will add another layer of dependency and should the wikipedia page change, one more reason for the query to fail.

  10. Petros says:

    As always, an awesome spreadsheet from Chandoo. I love the Power Query score update without macros. The country watch-out is a unique feature as well!

    For those who like a predictor template with flag lookup and a ribbon UI, here is our spreadsheet:

    https://www.spreadsheet1.com/fifa-world-cup-2018-russia-free-prediction-templates-for-excel.html

  11. Pranav says:

    Great template!

    I came across another one with image vlookups for country flags

    https://eexcel.co.uk/downloads (World_Cup_2018_Sweepstake.xlsx)

  12. Sean says:

    This is a great Template.
    I am running Excel 2010 with the PowerQuery add-in running.
    The scores will not update, so I followed the error and the second operation (Fitlered rows) says that the table is empty.
    After a few minutes on Wikipedia, I realise that my PowerQuery skills are not good enough to work out what the issue is.
    Any suggestions?
    I would like to fix it myself is possible.
    Thanks,
    Sean.

  13. Juan Pablo Diez says:

    Where can I see the results for a specific match?

    Thanks!

    • Chandoo says:

      @Juan... You can now. I have included a results tab that shows match scores. This too is a live table. Just refresh data to get new results. Please download latest version file from links above to use this feature.

      PS: There is another version coming soon with all goals too. I just have to spend some more time polishing the Json to table Power Query thingie.

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