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:falseExplanation:The first player always plays "X".Example 2:Input:board = ["XOX", " X ", " "]Output:falseExplanation:Players take turns making moves.Example 3:Input:board = ["XXX", " ", "OOO"]Output:falseExample 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"}`

.

```
struct Solution;
impl Solution {
fn valid_tic_tac_toe(board: Vec<String>) -> bool {
let mut a = vec![vec![]; 3];
let mut x = 0;
let mut o = 0;
for (i, row) in board.iter().enumerate() {
for c in row.chars() {
match c {
'X' => {
x += 1;
}
'O' => {
o += 1;
}
_ => {}
}
a[i].push(c);
}
}
let win_x = Self::win(&a, 'X');
let win_o = Self::win(&a, 'O');
x == o + 1 && win_x >= 0 && win_o == 0 || x == o && win_x == 0 && win_o <= 1
}
fn win(board: &[Vec<char>], c: char) -> i32 {
let mut rows = vec![0; 3];
let mut cols = vec![0; 3];
let mut diagonals = vec![0; 2];
for i in 0..3 {
for j in 0..3 {
let v = if board[i][j] == c { 1 } else { 0 };
rows[i] += v;
cols[j] += v;
if i == j {
diagonals[0] += v;
}
if i + j == 2 {
diagonals[1] += v;
}
}
}
let mut sum = 0;
if rows.iter().any(|&row| row == 3) {
sum += 1;
}
if cols.iter().any(|&col| col == 3) {
sum += 1;
}
if diagonals.iter().any(|&diagonal| diagonal == 3) {
sum += 1;
}
sum
}
}
#[test]
fn test() {
let board = vec_string!["O ", " ", " "];
let res = false;
assert_eq!(Solution::valid_tic_tac_toe(board), res);
let board = vec_string!["XOX", " X ", " "];
let res = false;
assert_eq!(Solution::valid_tic_tac_toe(board), res);
let board = vec_string!["XXX", " ", "OOO"];
let res = false;
assert_eq!(Solution::valid_tic_tac_toe(board), res);
let board = vec_string!["XOX", "O O", "XOX"];
let res = true;
assert_eq!(Solution::valid_tic_tac_toe(board), res);
let board = vec_string!["XXX", "OOX", "OOX"];
let res = true;
assert_eq!(Solution::valid_tic_tac_toe(board), res);
}
```