Polynomial time algorithm for a NP
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 NP vs NP-Complete vs NP-Hard — what does it all mean?  
 Euler circuit problem can be easily solved in polynomial time  
 Hamilton circuit problem is proved to be NP-hard  
 nobody in the world can give a polynomial time algorithm for a NP-hard problem  
What is meant by polynomial time and NP-hard? I know what is O(n).
 Polynomial time means that there exist a constant a , such that the complexity of your algorithm is O(n^a) .  
 Here is an explanation about NP-hard .  
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