We use the algorithm to generate the (n-1)! permutations of the first n-1 elements, adjoining the last element to each of these.

Heap's algorithm generates all possible permutations of n objects.

It generates each permutation from the previous one by interchanging a single pair of elements; the other n-2 elements are not disturbed

First set a counter i to 0. Now we perform the following steps repeatedly until i is equal to n.

Thus we generate all of the permutations that end with the last element.

Then if n is odd, we switch the first element and the last one.

If n is even, we switch the i-th element with the last one.

Note that there's no difference between n even and n odd in the first iteration.

Now we add one to the counter i and repeat.

In each iteration, the algorithm will produce all of the permutations that end with the element that has just been moved to the "last" position.

The hardest times to choose love become the very times that you can most grow spiritually.

Breathe. Let go. And remind yourself that this very moment is the only one you know you have for sure.

When you blame yourself, you learn from it. If you blame someone else, you don't learn nothing, cause hey, it's not your fault, it's his fault, over there.

I've been given benefits from the day I was born. A loving family. A great education. So I see it as an obligation, as a Christian and as a human being, to help.

What I object to the current government intervention in so-called 'solving the crisis', they haven't solved anything. They've just postponed it.

Every victory of Hezbollah, I celebrate.

Throughout my career, I had the great fortune to experience firsthand as well as to witness what it means to be a CIA officer.

I know this sounds strange, but as a kid, I was really shy. Painfully shy. The turning point was freshman year, when I was the biggest geek alive. No one, I mean no one, even talked to me.

A lot of people say the sitcom is dead. I think they're right to some extent, in that the shows they're putting out are all the same.

Imagination... its limits are only those of the mind itself.

I have wit in my work and a sense of humor, but I do not use irony in any way.

The machine enslaves, the hand sets free.

Our goal is to see Big History become a normal part of high school curricula. I'd love to see it being taught in lots of languages. A global course.

Scientific fraud, plagiarism, and ghost writing are increasingly being reported in the news media, creating the impression that misconduct has become a widespread and omnipresent evil in scientific research.

It is such a gift to be able to write songs in general, but when you can share it with somebody, it is just such a pleasure. It is such a happy moment when you finish a song, and you are just like, 'Wow - that was great.'

Organizations that destroy the status quo win. Whatever the status quo is, changing it gives you the opportunity to be remarkable.

It is good to vary in order that you may frustrate the curious, especially those who envy you.

No padlocks, bolts, or bars can secure a maiden better than her own reserve.

It is the truth of grace and not of the law that brings you true freedom. The truth of the law only binds you. In fact, religious bondage is one of the most crippling bondages with which a person can be encumbered. Religious bondage keeps one in constant fear, guilt, and anxiety.

Thus, the use of fiat money is more justifiable in financing a depression than in financing a war.

One important key to success is self-confidence. An important key to self-confidence is preparation.

If somebody tells you that you have ears like a donkey, pay no attention. But if two people tell you so, buy yourself a saddle.

I'm very stubborn. I feel like I'm going to play this season.

Kids you tried your best and you failed miserably. Lesson is never try.