The total number of possible moves in shogi and chess is difficult to calculate exactly because it depends on the specific game state and the rules of the game. However, we can estimate the number of possible moves based on the maximum number of legal moves available to a player in each game.

In shogi, at the start of the game, each player has 20 pieces on the board, and each piece has a different set of legal moves. On average, a player can make between 50 to 100 legal moves per turn, depending on the game state. This means that the total number of possible moves in a shogi game can range from about 10^80 to 10^160, which is an incredibly large number.

In chess, at the start of the game, each player has 16 pieces on the board, and each piece has a limited set of legal moves. On average, a player can make about 35 legal moves per turn, depending on the game state. This means that the total number of possible moves in a chess game is estimated to be around 10^50, which is also a very large number, but significantly smaller than the estimated number of moves in shogi.

Overall, both shogi and chess offer a vast number of possible moves and game states, which makes them both challenging and interesting games to play.
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