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Let's sayà   for our exampleà   she chooses the red block first.

à   Student Brian Yee asks, weà   re using python two in this class but python three exists, are we à   is what weà   re learning outdated?

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So thatà   s one of the reasons.

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When the break test is true, what we have is break whichà   by itselfà   is all we need.

Ità   s much shorter than the iterative solution would be and ità   s easier to understand and follow.

That was the string you are looking forà   that's the first inputà   and the second input could be a numberà   the position where you start looking for that string.

What we really want to know isà   given that she has n blocksà   whatever number n isà   how many different towers could you build where the color combinations are all different?

I'm going to ask is aà   c reciprocal?

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Okay, this is good because I donà   t think I explained really whatà   s going on when I use that.

We can compute that by multiplying n à   which is the number of choices for the first itemà   times n minus oneà   that's the number of choices we have left for the second itemà   times n minus twoà   that's the number of choices for the third item and so fourth, all the way until we get down to one.

â School sure is boring. â Hmm, where should we go?

So then the loopà   à   what we've done, we've gone through it ten times we've printed the numbers from zero to nine

Okay, thatà   s great and I think people once you get a little experience with programming youà   il see things like that every day that youà   re seeing people could be yourself but ità   il less often be yourself spending their time doing tedious things that are not fun for humans.

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We'll just have the procedure to call and the arguments or operands or inputsà   as you like to call themà   to pass in.

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You can make your own libraries, weà   re not going to cover that and Ià   il see as one on one but as you start to build bigger programs ità   s really important to think about how do you structure your program, so you donà   t end up with one huge file with lots of code that no one can figure out whatà   s going on.

We have the string that we were doing the find inà   let's say it was in the variable pageà   that's really another input to find.

So the code that youà   ve written that uses print would not work in python three, youà   d have to add extra parentheses for that.

In this case there's only one statementà   it's this return statement.

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There is a newer version of python and almost everything that weà   ve learned in this class, it doesnà   t matter whether youà   re using python or a Java Script or scheme or C or Java, any program or language, the basic concepts that weà   ve learned really apply to all of those languages in the same way.

So depending on whatà   s more important, oftentimes the tradeoff is much better where the simpler elegant solution that performance difference you probably couldnà   t even measure unless you were timing really carefully for really large inputs, you wouldnà   t notice the difference.

What we want to know is is aà   c a reciprocal link?

So a à   c is not reciprocal and we should include a.

That's going to have another test expressionà   we'll call that the break test.

What we want to do is compute this functionà   we're going to compute

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The baby might pick the red block firstà   put that on the ground.

If she has to make the same tower twiceà   well, that's pretty boring.

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Here's the typical structure of a loop with a break, so we have the while à   as we did beforeà   and we have the test expression and we had a colon.

So almost everything that youà   ve written in this class would work in python three and would be the same way to write it in python three, some things wouldnà   t.

If k à   3, then there is definitely a path of length at least three in there, which means we should not include a for any values of k à   3.