Table 1 and Table 2 represent a 3-player game. The payoff (a, b, c), in each cell, represents Player 1, Player 2, and Player 3's payoffs respectively. Player 1 (P1) decides to play either A, B, or C. Player 2 (P2) decides to play either X, Y, or Z. Player 3 (P3) decides between Table 1 and Table 2.
Table 1
| P1/P2 | X | Y | Z |
|---|---|---|---|
| A | 2,1,2 | 0,0,2 | 1,2,3 |
| B | 0,3,1 | 2,2,4 | 3,1,0 |
| C | 1,1,1 | 3,2,1 | 2,2,2 |
Table 2
| P1/P2 | X | Y | Z |
|---|---|---|---|
| A | 2,1,3 | 1,0,3 | 1,0,4 |
| B | 1,2,1 | 3,3,3 | 1,1,1 |
| C | 1,2,1 | 1,0,0 | 2,1,2 |
The number of Nash equilibrium in pure strategy in this game is ______ (in integer)