• 0 Posts
  • 14 Comments
Joined 1 year ago
cake
Cake day: June 21st, 2023

help-circle




  • For the purposes of OPs problem (P v NP), it considers not particular solutions, but general algorithmic approaches. Thus, we consider things as either Hard (exponential time, by size of input), or Easy (only polynomial time, by size of input).

    A number of important problems fall into this general class of Hard problems: Sudoku, Traveling Salesman, Bin Packing, etc. These all have initial setups where solving them takes exponential time.

    On the other hand, as an example of an easy problem, consider sorting a list of numbers. It’s really easy to determine if a lost is sorted, and it’s always relatively fast/easy to sort the list, no matter what setup it had initially.