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#1 2015-06-15 06:37:53

Transcending
Member
Registered: 2015-06-15
Posts: 12

Integer Partitions

If you have four coins, you can split them into piles in five different ways:

s(4)=5. If s(x) is the number of ways to split x coins, find the minimum value of x for which s(x) is divisible by 100 000 (one hundred thousand).

A•     12 547
B•     11 378
C•     11 224

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#2 2015-06-15 07:04:29

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Integer Partitions

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#3 2015-06-18 12:27:01

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,974
Website

Re: Integer Partitions

Integer Partitions?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#4 2015-06-18 12:37:57

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Integer Partitions

PartitionsP


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#5 2015-06-18 18:10:52

Transcending
Member
Registered: 2015-06-15
Posts: 12

Re: Integer Partitions

Oops is it possible to change the forum topic to Integer Partitions?

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#6 2015-06-18 18:52:21

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Integer Partitions

Yes, I have done it for you.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#7 2015-06-18 18:54:16

Transcending
Member
Registered: 2015-06-15
Posts: 12

Re: Integer Partitions

Wow thank you.

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#8 2015-06-18 20:13:48

Agnishom
Real Member
From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,974
Website

Re: Integer Partitions

Hi Transcending,

I suggest you use more relevant subject lines for your posts. If we have your permission, we can change them.

Your problems are pretty interesting. Do you mind if I use them elsewhere?


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
I'm not crazy, my mother had me tested.

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#9 2015-06-18 21:35:57

Transcending
Member
Registered: 2015-06-15
Posts: 12

Re: Integer Partitions

Please feel free to change the subject lines. They are not my problems. However, I did not see any copyright restrictions where I found them so I personally don't mind if you use them.

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