You wont like my answer and you won't accept it because it steps
  outside of the assumptions of the P NP questions. = I made a
  writeup on the idea March 8th, 2014 that's long winded but I'll
  summarize: a) You have to break the rules. That's the 1st step.
  = That's the pattern to solve it. Treat situations on a
  case-by-case basis and involve real people. The problem comes
  from it being in the realm of thought experiments and looking
  for a Universal solution. But we *have* the universal solution:
  We use it every day. == We utilize it daily. We don't have a
  choice. We live amongst complexity, utilize complex systems in
  our minds and in our relationships with people and information.
  We navigate socially and introspectively alike. We ask other
  people when we're stuck (or force it out of them), and sometimes
  the answer is simply, "I don't know". or "I don't care" - which
  are valid solutions to problems, if unsatisfactory. For example:
  Want to crack a high-encryption NSA code? Look at the situation.
  Find the key players. Kidnap their family. Threaten them with
  death 'til they give you the passwords and SALT required. Its a
  solution. A professor from college sent me a magazine clipping -
  I still have it - about a $100,000 prize for solving Minesweeper
  about 15-18 yrs ago. He put an encouraging sticky note on it:
  "If anybody can do this, you can". I have no idea why he thought
  that. I put it aside 'cause I knew the answers even then and
  it's not the kind of answers they wanted. == The answer is
  sideways: Past the person playing, and behind the game board but
  in front of the CPU: sniff the instruction set and output it so
  the information skips PAST the game board and into the eyes of
  the person playing. That's how you solve it. == Every puzzle can
  be analogized to a maze. Thought experiments, logic experiments,
  mathematical puzzles, they're mazes. The moment you remember
  you're a person in a chair solving this problem and that this
  problem can have solutions OUTSIDE of the context desired by the
  puzzle-maker, your solution set opens up VERY VERY wide. You can
  go down the maze as requested, you can go around the maze, you
  can fold the paper so the START and END of the maze is touching,
  and skip time/space entirely. You can ask your friend to help
  you. You can find the answer online. You can solve it by not
  caring anymore about it and that's just a few. == Another way to
  solve it: Change the math. Newton did it. This new Japanese guy
  apparently solved a problem by inventing a new math but I bet I
  know what makes his new math work: He's creating a NEW LAYER of
  abstraction on top of the existing system. This new layer of
  abstraction gives him the flexibility to make connections that
  are impossible in current mathematics. This is the kind of
  solution I'm talking about. This is how you'd solve N NP,
  Minesweeper etc if the current methods aren't working. Go up a
  level. Step outside of the system you're using. == Anyway, these
  aren't the kinds of answers they want for the P NP problem. I
  solved the Travelling Salesman problem by making a 3D mockup of
  it and sticking a rubber-band around it so the elasticity of the
  rubber-band gave me the shortest path all at once. Sometimes the
  answers are so simple but when people expect complexity, that's
  what they look for and create. ==