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   Group Jigsaw Puzzling (torturing little kids)
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william wu
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Group Jigsaw Puzzling (torturing little kids)  
« on: Feb 28th, 2004, 5:12pm »
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I have a picture which I eventually intend to slice up into pieces of a jigsaw puzzle. After the pieces are sliced, I can also make multiple copies of any piece. I plan to distribute the pieces among K children such that the following statement holds:
 
When any group of m children share their pieces, they can reconstruct at least one picture if and only if m [ge] T, where T is a fixed integer in {1,...,K}. If any number of children less than T get together, they must be unable to reproduce the picture -- in other words, their combined pool of pieces must be missing at least one piece of the picture.
 
 
Questions:
 
For a given T and K, determine  
 
1) the number of jigsaw pieces that should be made
2) how to distribute the pieces among the children such that the requirements are fulfilled
 
« Last Edit: Feb 28th, 2004, 7:49pm by william wu » IP Logged


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william wu
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Re: Group Jigsaw Puzzling (torturing little kids)  
« Reply #1 on: Feb 29th, 2004, 9:19am »
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Oops. This problem is on the site already Tongue  
 
I'll delete this thread shortly.
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