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## #1 2012-05-12 02:55:54

bobbym

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### Down the rows and colums game.

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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #2 2012-05-12 03:11:16

anonimnystefy
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### Re: Down the rows and colums game.

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

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #3 2012-05-12 03:18:36

bobbym

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### Re: Down the rows and colums game.

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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #4 2012-05-12 20:55:26

phrontister
Real Member

Online

### Re: Down the rows and colums game.

Hi Bobby,

I think I got it:

Btw, how do I hide an image?

Last edited by phrontister (2012-05-12 21:10:10)

"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

## #5 2012-05-12 21:04:51

anonimnystefy
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### Re: Down the rows and colums game.

Hi phro

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

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #6 2012-05-12 21:09:31

bobbym

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### Re: Down the rows and colums game.

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.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #7 2012-05-12 21:10:58

phrontister
Real Member

Online

### Re: Down the rows and colums game.

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

## #8 2012-05-12 21:12:06

bobbym

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### Re: Down the rows and colums game.

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

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #9 2012-05-12 21:18:21

phrontister
Real Member

Online

### Re: Down the rows and colums game.

Last edited by phrontister (2012-05-12 21:20:44)

"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

## #10 2012-05-12 21:20:06

anonimnystefy
Real Member

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### Re: Down the rows and colums game.

Just a test:

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #11 2012-05-12 21:23:10

bobbym

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### Re: Down the rows and colums game.

Hi phrontister;

Deleting images from posts is a nasty business.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #12 2012-05-12 21:30:01

phrontister
Real Member

Online

### Re: Down the rows and colums game.

Hi Bobby,

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.

"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

## #13 2012-05-12 21:31:38

anonimnystefy
Real Member

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### Re: Down the rows and colums game.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #14 2012-05-12 21:37:08

bobbym

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### Re: Down the rows and colums game.

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

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #15 2012-05-12 21:38:18

phrontister
Real Member

Online

### Re: Down the rows and colums game.

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 (2012-05-12 21:38:46)

"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

## #16 2012-05-12 21:47:01

anonimnystefy
Real Member

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### Re: Down the rows and colums game.

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

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #17 2012-05-12 21:48:31

bobbym

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### Re: Down the rows and colums game.

and might spoil the game for that person.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #18 2012-05-12 21:59:15

phrontister
Real Member

Online

### Re: Down the rows and colums game.

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

"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

## #19 2012-05-12 22:28:24

anonimnystefy
Real Member

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### Re: Down the rows and colums game.

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

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #20 2012-05-12 23:32:45

phrontister
Real Member

Online

### Re: Down the rows and colums game.

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...

"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

## #21 2012-05-12 23:38:28

anonimnystefy
Real Member

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### Re: Down the rows and colums game.

The limit operator is just an excuse for doing something you know you can't.
“It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman
“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

## #22 2012-05-13 00:05:41

phrontister
Real Member

Online

### Re: Down the rows and colums game.

Thanks, stefy...you're welcome.

Hi Bobby,

Last edited by phrontister (2012-05-13 00:58:45)

"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

## #23 2012-05-13 02:55:46

bobbym

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### Re: Down the rows and colums game.

Hi phrontister;

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #24 2012-05-17 14:26:11

bobbym

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### Re: Down the rows and colums game.

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.

In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.

## #25 2012-05-18 00:28:02

phrontister
Real Member

Online

### Re: Down the rows and colums game.

Hi Bobby,

"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