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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,251

Hi;

Ever play the biggest column game? It is easy. Here are the rules. You are given a triangular array of numbers.1 number per row is chosen so that when you add them they have the largest possible sum. You can use numbers diagonally right or left of the preceeding number. The little pyramid is an example. Can you do the big one?

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,521

I remember this question from before,but I don't know where you posted it.Can programs be used?

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,251

Hi;

I do not think I have ever posted it before. Of course programs can be used.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 3,847

Hi Bobby,

I think I got it:

Btw, how do I hide an image?

*Last edited by phrontister (2012-05-11 23:10:10)*

"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,521

Hi phro

Try posting it somewhere and than hide it as an img tag.

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,251

Hi phrontister;

I will have to delete the entire post to hide it. You are correct!

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

**Online**

**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 3,847

I replaced the image with a blip.

"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,251

Blip it. That did it. Anyway, you are correct!

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 3,847

*Last edited by phrontister (2012-05-11 23:20:44)*

"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,521

Just a test:

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,251

Hi phrontister;

You have the correct answer.

Deleting images from posts is a nasty business.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 3,847

Hi Bobby,

Yes...I started this thread about that. You've probably read it.

I think I'm quite happy with the 2-step access to my image in post #9, although stefy's 1-step method is good too.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,521

Actually,I linked to your image with the img tag.

Here lies the reader who will never open this book. He is forever dead.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,251

Well if everyone is happy, then it is my job to make you unhappy with another puzzle.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 3,847

Yes, stefy, I saw that.

I think that because this is a graphic answer I prefer my 2-step option to handle the case of someone inadvertently clicking the hide button and seeing the answer - which imprints (though roughly) in the brain instantly - and might spoil the game for that person.

*Last edited by phrontister (2012-05-11 23:38:46)*

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,521

But,isn't the hide tag only for those who want to know the answer? Why would anyone else click it?

Here lies the reader who will never open this book. He is forever dead.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,251

and might spoil the game for that person.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 3,847

True, stefy, but I used the word 'inadvertently' deliberately to cover all bases.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,521

I don't know how many people would accidentally click on a hide tag that says "solution" or "answer".

Here lies the reader who will never open this book. He is forever dead.

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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 3,847

Hi stefy,

I want to give a second chance to that one person in the whole wide world who, while (notice the alliteration) sitting drowsily in front of his computer way past his bed time, 'inadvertently' clicked the box and to his dismay saw the answer displayed in all its glory.

Or maybe his wife walked into his study where, instead of doing the work he'd promised to do, he was on this MIF page and panicked by clicking the 'hide' button instead of the 'Close' button on the browser, and then saw my answer by mistake.

Or...

One day such a person will write to me out of gratitude and thank me for my foresight in providing a 2-step access...and then it will have been all worthwhile.

I'm now waiting for that moment...

Still waiting...

Still waiting...

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,521

Thank you for the 2-step access to your solution,phro.

Here lies the reader who will never open this book. He is forever dead.

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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 3,847

Thanks, stefy...you're welcome.

Hi Bobby,

*Last edited by phrontister (2012-05-12 02:58:45)*

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,251

Hi phrontister;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,251

**New format:**

**Can you find the smallest array of numbers?Same rules as post #1.**

**For an example, the small pyramid has an answer of 8,6,8,6. That is the smallest.**

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 3,847

Hi Bobby,

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