Easy one...

For discussing Olympiad Level Combinatorics problems
mugdho.snigdho
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Easy one...

Unread post by mugdho.snigdho » Thu Jan 12, 2012 10:58 am

Each one of 2012 distinct points in the plane is coloured in blue or red so that on every blue-centered unit circle,there are exactly two red points.Find the greatest possible number of blue points. ;)

Akash
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Re: Easy one...

Unread post by Akash » Mon Jan 16, 2012 3:05 pm

is it 2010?

mugdho.snigdho
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Re: Easy one...

Unread post by mugdho.snigdho » Mon Jan 16, 2012 3:24 pm

each one is Unit circle & has Exactly two red points on its circumfrnc...
thats why the answer must be less than 2010
:!:

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Abdul Muntakim Rafi
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Re: Easy one...

Unread post by Abdul Muntakim Rafi » Mon Jan 16, 2012 5:14 pm

I think $1006$
Man himself is the master of his fate...

mugdho.snigdho
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Re: Easy one...

Unread post by mugdho.snigdho » Mon Jan 16, 2012 10:09 pm

write down your solution...

samin
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Re: Easy one...

Unread post by samin » Thu Jan 19, 2012 6:27 pm

i think 1967

mugdho.snigdho
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Re: Easy one...

Unread post by mugdho.snigdho » Fri Jan 20, 2012 12:49 pm

Great job ...@ Samin bhai

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nafistiham
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Re: Easy one...

Unread post by nafistiham » Sun Jan 22, 2012 6:31 pm

how is it done ? @mugdho.snigdho vaya
\[\sum_{k=0}^{n-1}e^{\frac{2 \pi i k}{n}}=0\]
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rakeen
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Re: Easy one...

Unread post by rakeen » Fri Jan 27, 2012 2:13 am

cant get bigger than 1006 :D how did you got 1967
r@k€€/|/

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