Sample Play:
      In this example, Red has just played a 1-point piece pointing up to the space with the X.
      Green has to play in the X'ed space, and has only two options, a 1-point piece pointing left, or a 2-point piece pointing right.
      He could have played a 3-point piece to the right as well, but he's used all of his 3-pointer already.
      If he points left, red could play a 2-point piece facing down and win immediately. So he points right.
      Red now has 4 options, 3-left, 2-up, 1-right, and 1-down.
      She selects 1-right.
      Green can choose 2-up, 1-up, or 1-down.
      He goes for 1 up, a mistake. (The next few moves are forced, so we'll skip ahead on the diagrams.)
      Red has no choice, she must play 2-down.
      And that leaves Green with no choice, gotta play 1-left.
      Red then plays 3-up (her only move) leaving us with this situation:
      Green has no legal move, and so Red wins!.
      If he had played it right third diagram, Green could have forced a win.
      Of course, if Red had played in right in the second diagram, she could have forced a win first.
      I'll leave figuring out the right moves in each of these situations as an exercise for the reader.
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