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# Matryoshka

Best Answer witzar, 16 February 2013 - 03:39 PM

Spoiler for Matryoshka 2

Go to the full post

10 replies to this topic

### #1 TimeSpaceLightForce

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Posted 13 February 2013 - 09:11 PM

Russian nested dolls set are all facing you.

Smallest to biggest they are ABCDEFGH
but some are inside the bigger dolls. If :
A has 3 dolls bigger on its left side
D has 2 dolls smaller on its left side
G has 1 doll  bigger on its right side
H has 2 dolls smaller on its right side
F has 1  doll  bigger on its left side
B has 1 doll   smaller on its left side
C has 4 dolls bigger on its right side
E has 3 dolls smaller on its right side

Can you tell how they are arranged?

• 0

### #2 CaptainEd

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Posted 13 February 2013 - 09:38 PM

Thanks, this is a lot clearer than the last one. Just to be sure, if X is inside Y, I believe Y would be reported as neither to X's left nor to X's right. Is this correct?

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### #3 k-man

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Posted 13 February 2013 - 09:57 PM

Spoiler for possible arrangement

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### #4 CaptainEd

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Posted 13 February 2013 - 10:09 PM

I agree with k-man.

Spoiler for In fact...

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### #5 TimeSpaceLightForce

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Posted 14 February 2013 - 06:01 AM

yes CaptainEd... if X is inside Y, Y would be reported as neither to X's left nor to X's right.

Right K-man.. the puzzle lacks restriction for more unique arrangements. Like "4  dolls is visible". Still easy but fun.

What i think hard is computing the posible number of arrangements.

Again, Thanks to you for replies

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### #6 witzar

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Posted 14 February 2013 - 11:16 AM

Spoiler for all solutions

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### #7 TimeSpaceLightForce

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Posted 16 February 2013 - 10:38 AM

Spoiler for all solutions

That many..its not much of a puzzle.  Thanks  witzar [^]

A better Matryoshka puzzle conditions can replaced to render a unique solution , Lets solve again..

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### #8 TimeSpaceLightForce

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Posted 16 February 2013 - 10:38 AM

Spoiler for all solutions

That many..its not much of a puzzle.  Thanks  witzar [^]

A better Matryoshka puzzle conditions can replaced to render a unique solution , Lets solve again..

• 0

### #9 TimeSpaceLightForce

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Posted 16 February 2013 - 11:01 AM

Matryoshka 2 (for mark as solved)

Russian nested dolls set are all facing you.
Smallest to biggest they are ABCDEFGH
but some are inside the bigger dolls. If :
A has  4 dolls    bigger on its    right  side
B         3            bigger             left
C         4            bigger            right
D         3            smaller           left
E         2            bigger            left
F         4            smaller          right
G        3            smaller           right
H         4            smaller           left

Can you tell how they are arranged?

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### #10 witzar

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Posted 16 February 2013 - 03:39 PM   Best Answer

Spoiler for Matryoshka 2

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