Matryoshka

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Posted · Report post

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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?

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Posted · Report post

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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Posted · Report post

GCEAFHDB

This linear arrangement works without placing any dolls inside any others. However, some neighboring dolls can be combined without breaking the conditions of the OP (for example B could be inside D and A could be inside F).

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Posted · Report post

I agree with k-man.

DB can be nested, HF can be nested, even HFA can be nested. And maybe there are more possibilities. I'm still assuming that an enclosing doll is neither left nor right of an enclosed doll.

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Posted · Report post

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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Posted · Report post

I've found 24 solutions:

CE|G|AFH|BD
CE|G|AFH|D|B
CE|G|AF|H|BD
CE|G|AF|H|D|B
CE|G|A|FH|BD
CE|G|A|FH|D|B
CE|G|A|F|H|BD
CE|G|A|F|H|D|B
CG|E|AFH|BD
CG|E|AFH|D|B
CG|E|AF|H|BD
CG|E|AF|H|D|B
CG|E|A|FH|BD
CG|E|A|FH|D|B
CG|E|A|F|H|BD
CG|E|A|F|H|D|B
G|C|E|AFH|BD
G|C|E|AFH|D|B
G|C|E|AF|H|BD
G|C|E|AF|H|D|B
G|C|E|A|FH|BD
G|C|E|A|FH|D|B
G|C|E|A|F|H|BD
G|C|E|A|F|H|D|B

Only the last one (found by k-man) has no nested dolls.

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Posted · Report post

I've found 24 solutions:

CE|G|AFH|BD

CE|G|AFH|D|B

CE|G|AF|H|BD

CE|G|AF|H|D|B

CE|G|A|FH|BD

CE|G|A|FH|D|B

CE|G|A|F|H|BD

CE|G|A|F|H|D|B

CG|E|AFH|BD

CG|E|AFH|D|B

CG|E|AF|H|BD

CG|E|AF|H|D|B

CG|E|A|FH|BD

CG|E|A|FH|D|B

CG|E|A|F|H|BD

CG|E|A|F|H|D|B

G|C|E|AFH|BD

G|C|E|AFH|D|B

G|C|E|AF|H|BD

G|C|E|AF|H|D|B

G|C|E|A|FH|BD

G|C|E|A|FH|D|B

G|C|E|A|F|H|BD

G|C|E|A|F|H|D|B

Only the last one (found by k-man) has no nested dolls.

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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Posted · Report post

I've found 24 solutions:

CE|G|AFH|BD

CE|G|AFH|D|B

CE|G|AF|H|BD

CE|G|AF|H|D|B

CE|G|A|FH|BD

CE|G|A|FH|D|B

CE|G|A|F|H|BD

CE|G|A|F|H|D|B

CG|E|AFH|BD

CG|E|AFH|D|B

CG|E|AF|H|BD

CG|E|AF|H|D|B

CG|E|A|FH|BD

CG|E|A|FH|D|B

CG|E|A|F|H|BD

CG|E|A|F|H|D|B

G|C|E|AFH|BD

G|C|E|AFH|D|B

G|C|E|AF|H|BD

G|C|E|AF|H|D|B

G|C|E|A|FH|BD

G|C|E|A|FH|D|B

G|C|E|A|F|H|BD

G|C|E|A|F|H|D|B

Only the last one (found by k-man) has no nested dolls.

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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Posted · Report post

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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Posted · Report post

CF|AG|BEH|D

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Posted · Report post

CF|AG|BEH|D

That is the arrangement! D (H/E/B) (G/A) (F/C) facing you.. quick solve witzar TY

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