Please help me with this question, thanks

1. Here is the description of a game, call it \"Tac-Toe\". There are four boxes, labeled a, b, c, d as follows. Player 1 must rst place an 'X' in box a, then Player 2 places a 'Y' in an open box, then Player 1 places an 'X' in an open box, and nally Player 2 places a 'Y' in the remaining box. If Player 1 has covered a diagonal with his 'X's, he gets paid $1 by Player 2; similarly if Player 2 covers a diagonal with 'Y's, he is paid $1 by Player 1. You can take payoffs as monetary values. (a) Is this a game of perfect information? Why or why not? [5pts] (b) Draw an extensive form for the game (with a complete tree, players at each information set, and payoffs etc.). [5pts] (c) How many pure strategies does Player 2 have? [5pts]