TimeSpaceLightForce Posted February 13, 2013 Report Share Posted February 13, 2013 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? Quote Link to comment Share on other sites More sharing options...
0 CaptainEd Posted February 13, 2013 Report Share Posted February 13, 2013 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? Quote Link to comment Share on other sites More sharing options...
0 k-man Posted February 13, 2013 Report Share Posted February 13, 2013 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). 1 Quote Link to comment Share on other sites More sharing options...
0 CaptainEd Posted February 13, 2013 Report Share Posted February 13, 2013 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. Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted February 14, 2013 Author Report Share Posted February 14, 2013 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 Quote Link to comment Share on other sites More sharing options...
0 witzar Posted February 14, 2013 Report Share Posted February 14, 2013 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. 1 Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted February 16, 2013 Author Report Share Posted February 16, 2013 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.. Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted February 16, 2013 Author Report Share Posted February 16, 2013 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.. Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted February 16, 2013 Author Report Share Posted February 16, 2013 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? Quote Link to comment Share on other sites More sharing options...
0 witzar Posted February 16, 2013 Report Share Posted February 16, 2013 CF|AG|BEH|D Quote Link to comment Share on other sites More sharing options...
0 TimeSpaceLightForce Posted February 17, 2013 Author Report Share Posted February 17, 2013 CF|AG|BEH|D That is the arrangement! D (H/E/B) (G/A) (F/C) facing you.. quick solve witzar TY Quote Link to comment Share on other sites More sharing options...
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TimeSpaceLightForce
Russian nested dolls set are all facing you.
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