Question: Please explain it step by step. 6. (25 points) The EXACT COVER BY 4-SETS problem is as follows: collection C of 4-element subsets of X

Please explain it step by step.

Please explain it step by step. 6. (25 points) The EXACT COVER

6. (25 points) The EXACT COVER BY 4-SETS problem is as follows: collection C of 4-element subsets of X occurs in exactly one member of C? INSTANCE: A finite set X with [XI-4q where q is an integer, and a QUESTION: Is there a subcollection C' C such that every element of X Prove the EXACT COVER BY 4-SETS problem is NP-complete

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