A week ago Tarun asked a question on the Chandoo.org Forums.
“I have got multiple names in each row and would like to have what name is repeated maximum number of times and how many times?
Eg. Ram, Amita, Obama, Ram, Willi, Ram, Amita, Chandoo, Ram, Willi
Ans: Ram (4 times)”
(The list and answers are edited)
Chandoo responded with a neat Array Formula:
=INDEX(B2:K2,MATCH(MAX(COUNTIF(B2:K2,B2:K2)), COUNTIF(B2:K2,B2:K2),0)) &
” (“&MAX(COUNTIF(B2:K2,B2:K2))&” times)”
Lets take a look inside this and see how it works
THE EXAMINATION
The formula has two parts separated by a &
=INDEX(B2:K2,MATCH(MAX(COUNTIF(B2:K2,B2:K2)), COUNTIF(B2:K2,B2:K2),0))
and
&
and
” (“&MAX(COUNTIF(B2:K2,B2:K2))&” times)”
Each part is separate and can be used independently, the & character simply joins the two parts together to make a single string which answers Tarun’s question, Ram (4 times).
Now, lets look at each part.
You can follow along with this forensic examination by downloading the Sample Data File.
=INDEX(B2:K2,MATCH(MAX(COUNTIF(B2:K2,B2:K2)), COUNTIF(B2:K2,B2:K2),0))
This is a single Index Function with 2 components, being:
a Range B2:K2 and
a Count MATCH(MAX(COUNTIF(B2:K2,B2:K2)), COUNTIF(B2:K2,B2:K2),0)
Typically an Index Function uses 3 components
=Index(Array, Row Number,[Column Number])
In this example the Range is a single Row, B2:K2
And so using the Counter in the Row spot has the effect of counting down the first Column and then continuing at the top of the second Column etc
So the formula used:
=INDEX(B2:K2,MATCH(MAX(COUNTIF(B2:K2,B2:K2)), COUNTIF(B2:K2,B2:K2),0))
Is equivalent to:
=INDEX(B2:K2,1,MATCH(MAX(COUNTIF(B2:K2,B2:K2)), COUNTIF(B2:K2,B2:K2),0))
Now lets jump ahead to the COUNTIF(B2:K2,B2:K2) bit
If you copy =COUNTIF(B2:K2,B2:K2) to a cell, Press F2 and then evaluate the Formula using F9
You will see that it returns an array. The array is highlighted by the squiggly brackets { } ‘s
={4,2,1,4,2,4,2,1,4,2}
This is the heart of the solution.
What this is showing us is that for each position in the range B2:K2, the count of how many times that cells value occurs in the range B2:K2
So the formula
=INDEX(B2:K2,MATCH(MAX(COUNTIF(B2:K2,B2:K2)), COUNTIF(B2:K2,B2:K2),0))
Is equivalent to
=INDEX(B2:K2,MATCH(MAX({4,2,1,4,2,4,2,1,4,2}), {4,2,1,4,2,4,2,1,4,2},0))
Looking at the MAX({4,2,1,4,2,4,2,1,4,2}) part, this simplifies to 4, the Maximum value of the array (Remember this line, we’ll come back to it later).
So our simplified formula is now: =INDEX(B2:K2,MATCH(4, {4,2,1,4,2,4,2,1,4,2},0))
Now looking at the MATCH(4, {4,2,1,4,2,4,2,1,4,2},0) part of the equation
You can see that Match is looking for the value 4, in the array {4,2,1,4,2,4,2,1,4,2}, which is the First value , Position 1, the 0 requesting that an exact match is found.
So that MATCH(4, {4,2,1,4,2,4,2,1,4,2},0) is equivalent to 1
So our equation =INDEX(B2:K2,MATCH(4, {4,2,1,4,2,4,2,1,4,2},0))
Is now simplified even more to =INDEX(B2:K2, 1)
Index will then look in B2:K2 and will return the first cell or “Ram” in this example.
& “(” & MAX(COUNTIF(B2:K2,B2:K2)) & ” times)”
The second part of the equation is responsible for counting the number of Times Ram occurs and displaying it with some text.
& “(” & MAX(COUNTIF(B2:K2,B2:K2)) & ” times)”
The parts displayed in Red above add the text ( and times) to the Count
Remember the section MAX(COUNTIF(B2:K2,B2:K2)) which was explained above and evaluates to 4 in this case
So the & “(” & MAX(COUNTIF(B2:K2,B2:K2)) & ” times)”
Part evaluates to: ( 4 times)
With the initial & adding it to the text of the first part Ram for the final result – Ram ( 4 times)
LEARN MORE ABOUT ARRAY FORMULAS
You can learn more about Array Formulas at the following links:
http://www.cpearson.com/excel/ArrayFormulas.aspx
http://www.databison.com/index.php/excel-array-formulas-excel-array-formula-syntax-array-constants/
http://office.microsoft.com/en-us/excel-help/introducing-array-formulas-in-excel-HA001087290.aspx
Chandoo.org has several articles on Array Formulas
http://chandoo.org/wp/tag/array-formulas/
FORENSIC FORMULAS
Would you like to see more “Forensic” examination of complex formulas ?
Let us know in the comments below and it may become a regular section at Chandoo.org.
15 Responses to “Christmas Gift List – Set your budget and track gifts using Excel”
[...] Christmas Gift List – Set your budget and track gifts using Excel … [...]
I'm confused: if you spend $10, and your budget is $40, shouldn't the amount in the "Within Budget?" column stay black, since you didn't go over budget?
In other words, since we overspent on the electronic photo frame, shouldn't the $8 cell turn red?
@JP.. maybe Steven is encouraging consumerism... ?
I havent realized it earlier, but now I see it. If you unprotect the sheet, you can change the formula in Column I to =IF(G13=0;" ";F13-G13) from =IF(G13=0;" ";G13-F13), that should correct the behavior.
Thanks Chandoo. I thought of making a shopping list spreadsheet for Christmas, but this is neat so I think I'll use this instead.
Chandoo & Steven thanks for this spreadsheet. But for the sake of a person who has been staring at this megaformula in vain for the last 40 mins and not afraid to ask, would it be possible for you to walk us through the logic used here?
=SUM(SUMPRODUCT(SUBTOTAL(3,OFFSET($K$13:$K$62,ROW($K$13:$K$62)-MIN(ROW($K$13:$K$62)),0,1)),--($K$13:$K$62="-"))+SUMPRODUCT(SUBTOTAL(3,OFFSET($K$13:$K$62,ROW($K$13:$K$62)-MIN(ROW($K$13:$K$62)),0,1)),--($K$13:$K$62="0")))&" / "&SUBTOTAL(2,$G$13:$G$62)
Thanks Chandoo.. This is one of the best budget spreadsheets I've ever seen.. The Arrays are out of this world!! And it's FREE!!
Chandoo, can you tell us more about Steven? Does he have his own site?
JP, I think Chandoo changed it when he changed the currency formatting from £ to $, a negative figure is a good thing in this case. But don't change the formulas, the overbudget and under budget won't work properly if you do. Also Chandoo I think you've accidentally broke the conditional formatting for the alternating row colouring the formula is different to the version I sent you. As for the megaformula chrisham, it gave me a headache trying to get it all working, so I will let Chandoo talk you through it.
Hi,
In cells I6 and I7, I understand that subtotal together with offset function returns an array of ones after which, the sumproduct function gives the desired result.
But I’m not able to figure out the reason for using an array in I8 to return the most expensive gift.
Can’t the formula be just
“=VLOOKUP(SUBTOTAL(4,$G$13:$G$62),$G$13:$J$62,4,0)”
Savithri, Cell I8 needs the array, if the formula was “=VLOOKUP(SUBTOTAL(4,$G$13:$G$62),$G$13:$J$62,4,0)” it would find the highest price from the filtered range (i.e. highest actual in filtered range is $50) BUT then return the first person with that actual, not looking in just the filtered range (so first person on the list with a $50 actual.)
To see what I mean, change the formula, then change all the actuals to $50 then filter for baby, it lists the first name on the list.
But a good question 🙂
Thank you. I now realise that the array is used to get the ‘filtered range’ instead of the entire range, as table array for look up value.
[...] Download This Template [...]
this looks like an awesome excel sheet!! is there anyway i can get it emailed to me unprotected? for some reason, i am unable to download it 🙁 help!!
Hi I also can not download to a mac as the sheet is protected any help would be great
[...] to send her a pricey present. Rather, send a card with a picture of your child. Here’s a cool Excel sheet that will help you estimate your budget per person and let you track [...]
[...] husband and I pour/poor over the Christmas spreadsheet (yes, I do know how dorky that sounds, but we’re not the only ones!), figuring out who should give what to whom. We live at a distance from most of our family, so it [...]