playboy

## Main Question or Discussion Point

**1. Homework Statement**

So I was giving a problem to "calculate" the number of flops in class today..

Now, I read the examples in the text book, and they are hard enough to understand...I am hoping that some one here can push me onto the right track

**2. Homework Equations**

find the flop count for the following sequence of commands:

a=0;

..for p=1:n

....for q=p:n

......for r=q:n

........a=a+1;

......end

....end

..end

What will be the value of a after the commands are executed ?

**3. The Attempt at a Solution**

I am not looking for a number, but a summation formula interms of n.

I am given that it has to be in the form

sum(i,n) i = n(1-n)/2

and

sum(i,n) i^2 = n(1-n)(2n-a)/6

So far, all I can see is that their must be n + n + n = 3n flops...

I have no idea how to calculate a.

Can somebody help me please?