Write a first-person game controller. The game-play area consists of a large room populated by cylindrical poles of various radii, and you’re playing “tag” with several other players, each of whom has a controller like yours, and an avatar that’s a colored sphere. One player is “it,” and tries to tag another player. Tagging a player happens when the avatar spheres touch. (They cannot interpenetrate, or pass through walls or poles.) When the player who is “it” tags another player, that player becomes “it” and the former “it” becomes untaggable for two seconds. Your challenge is to make an effective controller using whatever device you have: a keyboard, a mouse, a touchpad, etc. You should justify your design decisions. The game setting is loosely sketched here so that you are not too constrained: You can create the game in a small room with fat poles to make navigation difficult (because the avatar spheres barely fit between them), or in a room with no poles at all. Construct a world, and then design your controller and discuss how your controller design is influenced by the game-play world.