Today we will learn an interesting animation technique that ONLY uses, … wait for it …, Excel Formulas. That is right, we will use simple formulas to animate values in Excel.
Intrigued? Confused? Interested?
First see these Excel animation demos:
Animated icons & fill-color
Animated In-cell Charts
Click here to download the workbook with these examples.
What is the secret sauce behind this animation?
Take 1 portion of crushed basil leaves, 2 portions of grounded roasted coffee beans and mix them with hot water. Add enough sugar and throw it away. 😛
Now, come back to your excel workbook and use circular references to generate the animation effect.
Understanding how Circular References & Iterative Calculation Mode work
In order to get this animation, you should be familiar with two excel magic spells – Circular References & Iterative Calculations. In simple terms,
Circular Reference: is when a cell refers to itself in the formula. For eg. in cell A1, if you write =A1+1, it is a circular reference. The reference can be both direct or in-direct (ie you can refer to cell B1, which refers to A1 again).
Iterative Calculation: If a cell has circular reference, excel can quickly go in to infinite loop (not the place where Apple is head-quartered). To avoid this, we use iterative calculation mode. When you enable this mode, excel solves the cell references only a certain number of times.
Here is an excellent guide on circular references.
How to enable iterative calculation mode?
Simple, go to Excel options > Formulas and then select iterative mode. Change the number of iterations to a large value (so that we can see some animation). Like this:
How to use Circular References & Iterative Mode for Animation?
It doesn’t take a lot of coffee to conclude that using circular references & iterative mode of calculation, we can increment a cell value from 1 to 100 (or 4000, if you fancy).
Assuming you want to increment the value in A1 from 0 to 100, and A2 is used to control the animation (ie if you type “Yes” in a2, only then we increment the values).
In cell A1, we write =IF(A2=”yes”,IF(A1>=100,A1,A1+1),0)
If iterative mode is enabled, when you enter yes in cell A2, you can see the value in A1 going from 0 to 100, very fast.
Now, if you change the formula to =IF(A2=”yes”,IF(A1>=4000,A1,A1+1),0), you can see the cell value in A1 going up from 0 to 4,000 in a few seconds.
But, what about animation?!?
Now that we have the cell A1 changing its value when we want, we just need to link this with conditional formatting to get some magic.
For eg. you can apply conditional formatting on A1 with the following rule to change cell color as the value increases.
Similarly, you can use the value in A1 to draw in-cell charts that grow as the value changes in A1.
Just let your imagination run wild.
Where can you use such animation?
Animation is a powerful attention grabber. I think you can use this type of animation in dashboards to display alerts. For eg. you can highlight portions of dashboard that changed when a different product (or month) is selected.
That said, I strongly recommend against overuse of animation effects. They can quickly become annoying. Not to mention, they are cumbersome to maintain (and add little value).
What are the limitations of Circular Reference based animation?
- You must enable iterative mode of calculation.
- This doesn’t work with charts. Excel charts do not pick up cell values unless the calculation is finished. So you cannot plug values in to charts to expect animated charts. If you are curious to build one, see Daniel’s animated business charts example.
- This can slowdown your workbook: Whenever you run the animation, excel is going to do thousands of calculations and this will slowdown your workbook.
Download Excel Animation Workbook
I have put together a simple workbook showcasing several examples of this technique. Download and play with it.
Excel 2007 link | Excel 2003 link
(Make sure you have turned on the iterative mode.)
Do you find this technique interesting?
To be frank, I find this technique more amusing than useful. But I wrote about it anyway as it shows what is possible with excel. It can be useful in situations where there is too much information and you need to call users attention to something.
What about you? Do you see any practical applications for this technique? Share your ideas and opinions thru comments.
19 Responses to “How to Distribute Players Between Teams – Evenly”
An excellent solution, especially for large data sets.
Another solution without using solver would be to assign the player with the highest score to Team 1, the 2nd to team 2, 3rd to team 3, 4th to team 3, 5th to team 2, 6th to team 1, 7th to team 1 and it continues. This method would end up with a Std Dev of 0.001247219. This works best with a distribution with lower Std Dev for the dataset.
Full Disclosure: this is not my idea, remember reading something a few years ago. Think it may have been Ozgrid
thinking back I now remember why I read about it. About 10 years back I had to distribute around 300 team members into 25-30 odd teams. Used this method based on their performance scores. I used the method I described to do this and the distribution was pretty fair.
Solver would have saved me a ton of time though 🙂
I think the issue with you first Solver approach was that you took the absolute value of the sum of team deviations (which should always be zero except for rounding) instead of the sum of the absolute values (which is a reasonable measure of how unbalanced the teams are).
Here's another simple algorithm you could use: you start from the top (with players sorted from high to low), and at each step allocate the next player to whichever team has the smallest total so far. You can implement it dynamically with some formulas so it will update automatically when the data changes.
If the scores were more widely distributed (so that this might end up with not all teams the same size), you could add a constraint to only pick among the teams which currently have fewest players at each step, or just stop adding to any team when it hits its quota.
When I tried it on the sample, I got the three teams below, with a STDEV of 0.000942809 (i.e. about half of what Solver got to).
Team 1: John, Hugo, Tom, Josh, Eric, Zane, Charles, Andrew
Team 2: Barry, Michael, Kenny, Joe, Xavier, Patrick, Oliver, William
Team 3: Henry, Steven, Ben, Frank, Kyle, Edward, Cameron, Lachlan
Thanks for sharing!
Hi,
I was looking at all the solutions and this is closest to what I intended to do. I am dividing a bunch of players into 3 soccer teams. Players availability is also a factor while deciding the teams.
So the steps the excel needs to do is as follows:
1) In availability column if "yes" go to next
2) Equally divide 'Goalkeepers', 'Strikers', 'Defenders' basis their quality
So the end result gives each 3 teams a balance of players playing at different positions.
Can this be done on Google spreadsheet with only availability as an input from the user and rest calculates by itself.
Sorry for asking such a pointed question, but I have been struggling to find a solution for it for sometime now!
Hi Ishaan,
I am working on a similar problem at the moment, so I am wondering if you ever found a solution and if you are willing to share what you did.
Hi everyone, this is a variation of the famous Knapsack Problem https://en.wikipedia.org/wiki/Knapsack_problem.
I had to use a VBA implementation recently as part of a problem, where we ar trying to allocate teams of an organization into different locations (we are a large company with many different team). The goal was to optimally allocate teams to individual buildings without putting too many teams into one building and not splitting teams apart.
As we had around 400 teams of different sizes, solver couldn't handle it anymore. Luckily there is a Knapsack algorithm implementation in VBA readily available on the internet :).
I also went with a heuristic approach first!
An interesting mathematical solution but what if Eric and Xavier can't stand each other or Patrick is best friends with Steven - the real life problems that effect "even" teams.
@Joe
You can add more criteria like
If Eric and Xavier can't stand each other
=OR(AND(E15=1,E16=1),AND(F15=1,F16=1),AND(G15=1,G16=1))
It must be False
If Patrick is best friends with Steven
=OR(AND(E5=1,E17=1),AND(F5=1,F17=1),AND(G5=1,G17=1))
It must be True
Note that the 2 formulas above are exactly the same
except for the ranges
One must be True = Friends
One must be False = Not Friends
Nice Post!
Just one question What if number of players are not even or equally divisible.
Nice post Hui!
I download your workbook and just try to change in options the Precision Restriction from 10E-6 to 10-8 and the Convergence from 10E-4 to 10E-10. The process take almost the same time, but the results was great.
The standard deviation I got was 0,000471.
Team 1: John, Tom, Kenny, Frank, Eric, Xavier, Edward, Zane
Team 2: Steven, Hugo, Ben, Joe, Josh, Oliver, Cameron, William
Team 3: Barry, Henry, Michael, Kyle, Patrick, Charles, Andrew, Lachlan
Great application of Solver! Thanks for the link!
Great explanation. Well done... However, I tried with 6 teams of 4 players and solver never did finish.
How about vba code for the same data set.
I have 3 column A B C wherein A has text and B has number Wherein C is blank. And in C1 been the header C2 where I want the name to come evenly distributed the number which is in Column B.
My Lastcolumn is 1000.
Sorry if I'm being slow here, but how is 'Team Score' calculated? I've gone through the explanation several times but it seems to just appear.
@Hrmft
This process uses the Solver Excel addin
Solver is effectively taking the model and trying different solutions until it gets a solution that meets all the criteria
Then solver puts the solution into the cell and moves to the next cell
So yes it appears to "just appear"
Hi ! Thank you so much ! Works great 🙂
I cannot get the fourth Equation to work in my excel spreadsheet
You have =($E$2:$G$25=0)+($E$2:$G$25=1)=1 as a SUMIF solution, I have, =($F$2:$H$13=0)+($F$2:$H$13=1)=1 as my solution but it does not work. The only thing I changed is the ranges. Any suggestions?
Thank you.
Jim
I cannot get the fourth Equation of TURE or FALSE statements to work in my excel spreadsheet You have =($E$2:$G$25=0)+($E$2:$G$25=1)=1 as a SUMIF solution, I have, =($F$2:$H$13=0)+($F$2:$H$13=1)=1 as my solution but it does not work. The only thing I changed is the ranges. Any suggestions?
Sorry I left some of it out in the previous question,
Thank you. Jim