$2.$ Consider the problem of solving two $8-$puzzles, you move one tile of any one puzzle each time.

d$.$ Assume two players playing that game following $($c$),$ after N turns, one of the puzzle now require only one move to be completely solved. Who has better chance to win? The player just finished the move in the N$-$th turn or the player is going to make a move in the coming turn $($N$+1)?$ Why?