Calculating Maximum Change [solutions & discussion]

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Maximum change problem - Solutions, Discussion & Video

Last Friday, we had a fun little Excel challenge – Calculate Maximum Change. More than 170 people commented and shared their solutions to this problem.

And the best part?

The best part is the variety of solutions & thinking displayed by our community. So if you are one of those 170, puff your chest & pat yourself on the back. Go ahead, I will wait.

Today, lets take a look at some of these awesome formulas and understand how they work. Read on and watch the video you below to gain few awesomeness pounds.

First, lets understand the problem

Here is a look at the problem:

Calculate maximum change - formula problem

We need more information to answer this question.

  • Are we talking about positive change, negative change or absolute change?
  • Are we talking about % change or value change?

In the original problem, even though I did not mention it, most people assumed that we want absolute change of value (ie the answer is 40, for Product 2).

But in real life, you may want to understand the problem a little more before writing any formulas.

Note: The data is in C3:C8 for last month and D3:D8 for this month.

Solution #1: Using MAX array formula

This is the solution most people got.

The array formula:

=MAX(C3:C8-D3:D8)

press CTRL+Shift+Enter after typing.

How it works?

C3:C8-D3:D8 portion:  This gives the result {-20;40;15;21;0;-25} in array form.MAX(…) portion: This simply calculates the maximum value of above array and returns 40 as answer.

Why press CTRL+Shift+Enter (CSE)?

We need to press CTRL+Shift+Enter because MAX() is not capable of handling arrays. If you write MAX({-20;40;15;21;0;-25}) you would get 40, but the same array when calculated by doing math on ranges will not work. To force MAX to treat arrays, we need to press CTRL+Shift+Enter.

Solution #2: Using MAX+ABS array formula

Quite a few people figured out that the formula needs to work even when the change is negative. And that is where this new solution comes handy.

The array formula:

=MAX(ABS(C3:C8-D3:D8))

press CTRL+Shift+Enter after typing.

How it works?

ABS() portion: converts the change values {-20;40;15;21;0;-25} to positive {20;40;15;21;0;25}

Rest of the formula is same as solution #1.

Solution #3: Using INDEX to avoid Ctrl+Shift+Enter

The thing with Ctrl+Shift+Enter is that you have to remember it. If you accidentally press Enter instead of CSE, the formula stops working. One way to avoid this is to route the calculation thru an Excel function that can natively process arrays. This is where INDEX (or SUMPRODUCT etc.) come handy.

The formula:

=MAX(INDEX(C3:C8-D3:D8,0))

or

=MAX(INDEX(ABS(C3:C8-D3:D8),0))

How it works?

Same as Solution #1, except for this formula you do not have to press Ctrl+Shift+Enter. The INDEX will automatically calculate the array and send numbers to MAX. Then MAX feels mighty comfortable dealing with those numbers and spits out the answer as 40.

Learn more:

Solution #4: Using AGGREGATE

AGGREGATE() is a new function introduced in Excel 2010. This too, like INDEX & SUMPRODUCT can process arrays natively (provided you are using one of the aggregates like LARGE). Kyle, one of our commenters shared 2 brilliant solutions that involve AGGREGATE.

The formula:

=AGGREGATE(14,4,(C3:C8)-(D3:D8),1)

How it works?

14, 4 portion: This tells AGGREGATE that you want to calculate LARGE value (14) and you want to consider all cells (4). To understand more about AGGREGATE see the links below.

(C3:C8)-(D3:D8) portion: As seen above, this just gives an array – {-20;40;15;21;0;-25}

1 portion: This tells AGGREGATE that you want 1st largest number.

Learn more:

Solution #5: Using MMULT and AGGREGATE

Now this is what I call a scary formula. It can potentially waste your entire afternoon when you try to understand it first time. But once you get it, you feel awesome. This too is posted by Kyle.

The formula:

=AGGREGATE(14,4,MMULT(C3:D8,{1;-1}),1)

How it works?

Watch the video. Explaining how this works in text is difficult.

Learn more:

I am still trying to understand MMULT(). It can be as complex and deep as string theory (or recipe of making bread at home). Go thru below links to learn more about it. Make sure you put on your helmet, cause it will blow your mind.

More ways to get maximum change + Bonus problem

Watch below video to understand how to solve the maximum change problem and another related problem.

Click here to watch if you can’t see the video above

Download Answer workbook

Click here to download answer workbook and examine the formulas to learn more.

What did you learn from this formula challenge?

I learned how to use AGGREGATE, Array SUMIFS and got a better handle on MMULT.

What about you? What did you learn thru this challenge. Please comment and let us all know.

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25 Responses to “Shift Calendar Template – FREE Download”

  1. Alvin says:

    Hi Chandoo,

    your recent postings include only Excel 2007 templates. Unfortunately the company I work at still runs Excel 2003. Is it possible to get your awesome files in other excel version as well?

    Thanks so much for your great excel stuff!

  2. Stelios Tserkezis says:

    Is it possible to do this for shifts with hours instead of days? To organise a three shift day?

    Thanks in advance,

    Stelios

  3. MASTHAN says:

    In my organization there are 45 employees i need split then into three shifts ex:A shift:14,B shift:14,C shift:14 and week off:3 kindly help me on this.

  4. Hui... says:

    @Masthan

    You need to understand what rules your company has for the various shifts / roster combinations

  5. Georges Lacombe says:

    Chandoo, I once did a shift control spreadsheet for my team. I put one person in each line, the columns were the days. I put a shift code in each cell indicating in which shift that person should work, or if the person were out that day. I have two codes for being out. One is for vacations and one is to compensate days worked in weekends. This way I was able to count how many persons I have in each shift, how many were on vacations and how many were out compensating (that's the term we use here) weekend worked hours.
    Later I included the possibility of a person be in two lines one for normal hours other for overtime. This is mainly used for planning purposes. If you would like I can send you an example. The only problem of this spreadsheet is that we don't have a person view, only this consolidated view.

    • Chuck Vaughan says:

      Hi George, I would like to have a copy of your spreadsheet if you can share it.
       
      Thanks in advance, Chuck   

  6. Idan says:

    Hi Chandoo,

    Where is the code located ? is it VBA ? If so , how do you hide it ? Or it is .NET ?

    Thx

  7. Hui... says:

    @Idan
    .
    No VBA or code, it is all done with Mirrors.
    Only Joking,
    .
    But there is no VBA or code,
    It is all done with Named Formulas and Lookups.
    Have alook at the cells in the calander area and Named Formulas in the Formulas, Name Manager Tab.

  8. Anand Sant says:

    How can i calculate between two or more different workbooks? Please, reply me as early as possible.

    • Hui... says:

      @Anand
      Open the workbooks you want to link to
      Start a formula = and click and change between workbooks as required.
      You can use the View, Switch window menu to change workbooks mid formula

      The format for using workbooks is
      =[Workbook.xlsm]Sheet1!$A$1
      or
      =SUM('[Book2.xls]Sheet1'!$A$1:$D$10)
      etc

  9. Shemi says:

    Hi Chandoo,
    I am working with a call centre wherein i ned to update at the month end 20 to 30 employees login hours which are defict to track it at the month end is very difficult is there any template which can be made to track that why on a particular day a guy who needs to be on calls was why not on calls.

  10. Denice Lognshaw says:

    Thank you so much Chandoo. This is really helping me. As usual, you rock.

  11. Mukesh Verma says:

    What's FortyTwoDays and Calendar in Name manager?

    Both are unused and FortyTwoDays doesn't make any sense.

  12. Dave says:

    I have a SQL db that contains records of events scheduled/completed on a particular date. Can this method ous building a calendar be used to display those events on the respective day?

  13. Jan Halliday says:

    Positively awesome!
    I'm attempting to help a friend create a schedule for adult classes - and of course its not"paid help".  Here is the scenario:
    20 classes, instructor, room#, student class size, start date, number of class days (need to subtract weekends)

    class
    instructor
    room
    students
    start
    #days

    PATH
    karen
    201
    21
    01/01/13
    11

    BILLING
    jane
    401
    15
    01/12/13
    13

    MEDISOFT
    mike
    301
    11
    01/25/13
    9

    he'd like to see these classes show up in different colors within the same month's calendar chart.  He can draw it, but I'd like to see it done automatically through data, and I just can't visualize it, but I KNOW this will work - can you help?
    Jan 🙂
     

  14. Chan Tean says:

    Dear chandoo,

    Try many way to download still can't access. Any way we want to try out 3 shifts with 3 guys in a group .eg Group A Morn, Group B Night and Group C Rest. And every each group must work on sunday to take turns. In fact we are security teams so that's why sunday is required to work. Pls guide and show how to put in the working calendar. Thank you in advance.

  15. Veronica Burggren says:

    I've been trying to copy and/or recreate this to use in a workbook I'm doing for the transportation department I'm working for. I need to have the calendar on the first sheet in my document (it has graph's from data on another sheet). I'm trying to use it to track (with the conditional formatting) accidents and injuries. I've redone the conditional formatting to do 4 different accident types (no injury, near miss, OSHA recordable injury and work loss injury), but when I enter the formula's you have in the calendar portion where it says "DateOfFirst-FirstWeekDay" I can't figure out how you did that. Are you able to help?

  16. Pipin Fantom says:

    I would like to use Excel to solve the following problem for a community work. I want to create a Driver schedule for a given month from a pool of volunteers for a community service. Each of these volunteers can drive only on specific days in a week. I would like to populate the driving schedule for each weekday with primary, secondary and tertiary drivers in a random fashion so that I do not overburden one person. I would greatly any help you can provide.

  17. Ravichandra says:

    Hi chandoo,
    Thanks for your valuable effort for create this template and let me know how to add multiple employees in the the Roaster.

  18. Savitha says:

    Hi Chandoo,

    This article on shift roaster is very helpful. Could you please let me know how i can use the same for n number of resources who work 24/7, considering their leaves and holidays?

    Thanks,
    Savitha

  19. Balu says:

    Hi Chandoo,

    This article on shift roaster is very helpful to all. Could you please let me know how i can use the same if I want to add for some more shifts, since the color is not getting change if I add more shifts like 4,5 etc.,

    Thanks,
    Murali

  20. Sarah says:

    How can I change the date to 2017 under Shift Data worksheet.

  21. Cad says:

    solution 1:
    mydata=B2:C16
    stoplist=E2:E8

    =LET(RNG,A2:A16,SMR,C2:C16, F,(RNG=E2)+(RNG=E3)+(RNG=E4)+(RNG=E5)+(RNG=E6)+(RNG=E7)+(RNG=E8),SUM(SMR)-SUM(SMR*F))

    =LET(RNG,A2:A16,SMR,C2:C16,RH,N(B2:B16=B2), F,(RNG=E2)+(RNG=E3)+(RNG=E4)+(RNG=E5)+(RNG=E6)+(RNG=E7)+(RNG=E8),TOT,SUM(SMR)-SUM(SMR*RH*F),SUM(SMR*RH)-SUM(SMR* RH*F))

    ALTERNATE SOLUTION
    =SUM(C2:C16)-SUM(FILTER(C2:C16,ISNUMBER(BYROW(A2:A16,LAMBDA(a,TOROW(SEARCH(a,E2:E8),2))))))

    =SUM((B2:B16=B2)*(C2:C16))-SUM((ISNUMBER(BYROW(A2:A16,LAMBDA(a,TOROW(SEARCH(a,E2:E8),2))))*(B2:B16=B2)*(C2:C16)))

  22. Cad says:

    let
    Source = Excel.CurrentWorkbook(){[Name="Table1"]}[Content],
    #"Replaced Value" = Table.ReplaceValue(Source,null,";",Replacer.ReplaceValue,{"Column1"}),
    #"Transposed Table" = Table.Transpose(#"Replaced Value"),
    #"Removed Other Columns" = Table.SelectColumns(#"Transposed Table",{"Column1", "Column2", "Column3", "Column4", "Column5", "Column6", "Column7", "Column8", "Column9", "Column10", "Column11", "Column12", "Column13", "Column14", "Column15", "Column16", "Column17", "Column18", "Column19", "Column20", "Column21", "Column22", "Column23", "Column24", "Column25", "Column26", "Column27", "Column28", "Column29", "Column30", "Column31", "Column32", "Column33", "Column34", "Column35", "Column36", "Column37", "Column38", "Column39", "Column40", "Column41", "Column42", "Column43", "Column44", "Column45", "Column46", "Column47", "Column48", "Column49", "Column50", "Column51", "Column52", "Column53", "Column54", "Column55", "Column56", "Column57", "Column58", "Column59", "Column60", "Column61", "Column62", "Column63", "Column64", "Column65", "Column66", "Column67", "Column68", "Column69", "Column70", "Column71", "Column72", "Column73", "Column74", "Column75", "Column76", "Column77", "Column78", "Column79", "Column80", "Column81", "Column82", "Column83", "Column84", "Column85", "Column86", "Column87"}),
    #"Merged Columns" = Table.CombineColumns(#"Removed Other Columns",{"Column1", "Column2", "Column3", "Column4", "Column5", "Column6", "Column7", "Column8", "Column9", "Column10", "Column11", "Column12", "Column13", "Column14", "Column15", "Column16", "Column17", "Column18", "Column19", "Column20", "Column21", "Column22", "Column23", "Column24", "Column25", "Column26", "Column27", "Column28", "Column29", "Column30", "Column31", "Column32", "Column33", "Column34", "Column35", "Column36", "Column37", "Column38", "Column39", "Column40", "Column41", "Column42", "Column43", "Column44", "Column45", "Column46", "Column47", "Column48", "Column49", "Column50", "Column51", "Column52", "Column53", "Column54", "Column55", "Column56", "Column57", "Column58", "Column59", "Column60", "Column61", "Column62", "Column63", "Column64", "Column65", "Column66", "Column67", "Column68", "Column69", "Column70", "Column71", "Column72", "Column73", "Column74", "Column75", "Column76", "Column77", "Column78", "Column79", "Column80", "Column81", "Column82", "Column83", "Column84", "Column85", "Column86", "Column87"},Combiner.CombineTextByDelimiter("|", QuoteStyle.None),"Merged"),
    #"Split Column by Delimiter" = Table.ExpandListColumn(Table.TransformColumns(#"Merged Columns", {{"Merged", Splitter.SplitTextByDelimiter(";", QuoteStyle.Csv), let itemType = (type nullable text) meta [Serialized.Text = true] in type {itemType}}}), "Merged"),
    #"Added Prefix" = Table.TransformColumns(#"Split Column by Delimiter", {{"Merged", each "|" & _, type text}}),
    #"Replaced Value1" = Table.ReplaceValue(#"Added Prefix","||","|",Replacer.ReplaceText,{"Merged"}),
    #"Split Column by Delimiter1" = Table.SplitColumn(#"Replaced Value1", "Merged", Splitter.SplitTextByDelimiter("|", QuoteStyle.Csv), {"Merged.1", "Merged.2", "Merged.3", "Merged.4", "Merged.5", "Merged.6", "Merged.7", "Merged.8"}),
    #"Removed Columns" = Table.RemoveColumns(#"Split Column by Delimiter1",{"Merged.1"}),
    #"Removed Duplicates" = Table.Distinct(#"Removed Columns")
    in
    #"Removed Duplicates"

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