Cody vs Zi Song

Level 2

As shown in picture , Cody Johnson is hovering in air at the point A(3,2) and Zi Song Yeoh is at the point B(8,1) . Cody should fly to Zi Song in such a way that when his path is drawn with magic pencil (which can draw in air) and the segment showing his displacement is drawn , the complete figure is a square (an example is shown in figure, Path is A-D-C-B) .

In how many ways can Cody go to Zi Song ?

Note :- If you want to know whether Cody is interested in going to Zi Song or not, you should read this problem Bromance <3


Trolling the Troller is BIG fun !


Details :-

\bullet As the path will be square , Cody must move along exactly 3 line segments, without repeating the path.....(Like ABCDABCDABCD won't be a valid path)

\bullet 1 s t 1^{st} segment will start from point (3,2). 2 n d 2^{nd} segment will be perpendicular to 1 s t 1^{st} and 3 r d 3^{rd} and 3 r d 3^{rd} will have (8,1) as an endpoint . The displacement segment is segment joining (3,2) and (8,1) .

1 Infinite Cody doesn't want to go to Zi Song :P 2

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1 solution

Aditya Raut
Apr 17, 2014

Well if you restrict to the plane then Cody has two ways to go but in space, he can go in INFINITE ways. He can fly so he can fly along any direction ! So answer is I n f i n i t e \boxed{Infinite}

Hey, you never mentioned that Cody has wings!

Sreejato Bhattacharya - 7 years, 1 month ago

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Who says flying is impossible without wings ? Cody is an extraordinary and IDEAL person (in sense of physics) so he needn't follow laws of gravitation too ! :P

Aditya Raut - 7 years, 1 month ago

I just considered ABCDABCDABCDABCD…, you didn't say we couldn't repeat.

Cody Johnson - 7 years, 1 month ago

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Thanks fixed !

Aditya Raut - 7 years, 1 month ago

But you didn't give any value for the 3rd dimension.

Guiseppi Butel - 7 years, 1 month ago

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That means they are in the XY plane , so Z co-ordinate is 0 . I never said Cody must travel in the same plane

Aditya Raut - 7 years, 1 month ago

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The day you lose a Brilliant problem in 3D because a fourth dimension was implicitly assumed, you are going to go nuts...

Eric Hernandez - 6 years, 10 months ago

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@Eric Hernandez Exactly! This was insane!!

Satvik Golechha - 6 years, 9 months ago

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