Determine the total number of opening winning moves and then describe all winning moves in the game of Nim (a) With three piles of 33, 49, and 62 chips. (b) With five piles of 17, 19, 23, 28, and 31 chips. (c) With seven piles of 133, 99, 157, 66, 201, 77, and 39 chips.