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794. Valid Tic-Tac-Toe State (Medium)
A Tic-Tac-Toe board is given as a string array board
. Return True if and only if it is possible to reach this board position during the course of a valid tic-tac-toe game.
The board
is a 3 x 3 array, and consists of characters " "
, "X"
, and "O"
. The " " character represents an empty square.
Here are the rules of Tic-Tac-Toe:
- Players take turns placing characters into empty squares (" ").
- The first player always places "X" characters, while the second player always places "O" characters.
- "X" and "O" characters are always placed into empty squares, never filled ones.
- The game ends when there are 3 of the same (non-empty) character filling any row, column, or diagonal.
- The game also ends if all squares are non-empty.
- No more moves can be played if the game is over.
Example 1:
Input: board = ["O ", " ", " "]
Output: false
Explanation: The first player always plays "X".
Example 2:
Input: board = ["XOX", " X ", " "]
Output: false
Explanation: Players take turns making moves.
Example 3:
Input: board = ["XXX", " ", "OOO"]
Output: false
Example 4:
Input: board = ["XOX", "O O", "XOX"]
Output: true
Note:
board
is a length-3 array of strings, where each string board[i]
has length 3.
- Each
board[i][j]
is a character in the set {" ", "X", "O"}
.
[Recursion]
[Math]
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