Thursday, July 3, 2008

Number Story

The first digit will tell you how many zeroes are there in the story, the second digit will tell you how many one's are there in the story and so on.

How long your story can be and what's the story ?

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28 Comments:

Anonymous Anonymous said...

9000000000

July 3, 2008 5:03 PM  
Anonymous Anonymous said...

okay the first anwer i wrote wasn't quite right so here is a second one.

9210000001000

July 3, 2008 5:38 PM  
Anonymous Anonymous said...

arrh someone slap found another mistake with that one so ganna try a third story.
53110100002

July 3, 2008 6:01 PM  
Anonymous Anonymous said...

(Not the guy from above) Is this thing actually possible?

July 3, 2008 9:50 PM  
Anonymous Anonymous said...

infinity

~Cybersurf~

July 4, 2008 1:31 AM  
Blogger Eric said...

I'm not sure what the answer is but I think There can be only up to 10 digits because there can't be any 10's in a number, just 1's and 0's next to each other, so I think anonymous's 3rd answer is correct except the 2 on the end

July 4, 2008 10:58 AM  
Anonymous Anonymous said...

the answer is infinity since there are no set amounts of digits so we could have any amount of numbers as long as there are no more 0s then the first digit states and no more 1's then the second digit states... we could have as many 2s,3s,4s,5s,6s,7s,8s,9s as we want

July 4, 2008 11:28 AM  
Anonymous Anonymous said...

but there is a set amount of digits because once you get to the 11th digit in the number that will tell you how many 10's you have in the number ........... but ten isnt a digit
so then your digits in the number would be broken down into the :
1st = # of zeros
2nd = # of ones
3rd = # of twos
4th = # of threes
5th = # of fours
6th = # of fives
7th = # of sixes
8th = # of sevens
9th = # of eights and
10th = # of nines

therefore with a limitation of only ten digits infinity is not an answer

July 4, 2008 3:38 PM  
Blogger Zandy said...

9210000001000

July 4, 2008 7:03 PM  
Anonymous pramsay13 said...

I agree with eric that there can only be 10 digits, so anonymous 3rd attempt can't be right because if you take off the 2, then the second digit (that says there will be one 2) is incorrect.
How about
6210001000

July 5, 2008 4:00 AM  
Anonymous Anonymous said...

yup.

pramsay13's answer checks out.

but...

...thats not to say that its the only right answer...

...hmm...

...anyone else got a working answer...?

July 5, 2008 5:50 AM  
Anonymous Euclid's Brother said...

He didn't say it had to be in base 10. Here's Base 16 (hexidecimal).

C210000000001000


So.. if you use an infinite base, you can have an infinite solution..

July 5, 2008 1:17 PM  
Anonymous pramsay13 said...

That's all gobbledygoop to me

July 5, 2008 3:31 PM  
Anonymous Anonymous said...

Uhh How About 1.0

July 5, 2008 11:50 PM  
Anonymous Anonymous said...

what is up with people and infinity? it doesn't work because infinity is NOT a number.
its basically a way to say: OMG that is super high/long/big/loud etc...

~ghostrider655

July 6, 2008 6:32 AM  
Anonymous Ashley said...

1223344455566667777888899999

28 numbers?
1 one
2 twos
2 three's
3 fours's
3 fives's
..etc.

You have to stop at nine because ten contains both a one and a zero.

July 6, 2008 7:56 PM  
Anonymous Ashley said...

... That doesn't work... there's no sero... hmmm....

July 6, 2008 8:01 PM  
Anonymous Matt said...

99999999898888888777777777666666666555555555444444444333333333222222222111111111000000000
That is the largest possible number you can have.


~Harry Potter

July 7, 2008 9:57 AM  
Blogger Steven Carrigan said...

The answer is and the string is "1".

July 8, 2008 1:37 PM  
Blogger Steven Carrigan said...

No, that was not right.

But Matt's not right either.

July 8, 2008 1:47 PM  
Blogger Steven Carrigan said...

Sorry, Matt, I think you are right.

July 8, 2008 1:50 PM  
OpenID xfallenxempyrex said...

does 5201010000 work?

July 9, 2008 9:36 PM  
Blogger Bob said...

5201010000 - no, there are 6 zeros. I'm sure you meant '521001000' length is only 9 though.

I like Matt's answer if limited to base 10 and allowed to have stories longer than 10.

If limited to 10 or fewer digits in the answer then there are simple solutions such as ...hm... have to think about that some more... Nope, I'm pretty sure there are no solutions of length 10. That makes the '521001000' perhaps the longest and largest base 10 solution if having digits in the 10th and higher positions is not allowed.

In fact, I think it can be easily proven that there are NO base 10, solutions of length 10.

I'm thinking the shortest (non-zero-length) story would need to be 4 digits. '1210' might be the "smallest" of these but the question does not really ask about magnitude (or for the shortest for that matter).

I cannot think of any binary solutions either.

July 10, 2008 7:25 PM  
Blogger Bob said...

Of course pramsay13's 10 digit solution - '6210001000' from a week ago makes most of my above observations mute. My brain needs more exercise.

-sorry

July 10, 2008 9:08 PM  
OpenID insaneadam75 said...

I bet this works!

430101010

hahaha

-Mrpints69

July 11, 2008 7:10 AM  
Blogger pramsay13 said...

you've lost your bet!

July 12, 2008 9:01 AM  
Anonymous Anonymous said...

It's 6210001000
there are 6 zero's, 2 ones, a two and no 3's, 4's, 5's, 7's 8's and 9's, and there's a 6!!!
simply u start with 9000000000, the largest number u can have!!!
but there's a 9, so the last 0 becomes a 1. now there's a 1, so the first 0 becomes a 1 too... now there are two 1's, so the first 0 that became a 1 becomes 2. now there's a 2, so the 0 after that 2 becomes 1.... there will be 6 zero's left, so the 9 becomes 6 and the 1 at last is positioned three 0's after the first 1....

July 12, 2008 11:48 AM  
Anonymous CodyC said...

How about 200?

First digit, 2, tells of the two zeroes.
The second digit, 0, is indeed the amount of ones in my answer.
The third digit, 0, is simply there to make the first digit's statement a fact.

July 22, 2008 5:08 AM  

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