Description

Count the number of battleships on a board. Battleships are represented by X and can only be placed horizontally or vertically.

Examples

Input:board = [["X",".",".","X"],[".",".",".","X"],[".",".",".","X"]]
Output:2
Explanation:

Two battleships.

Input:board = [[1]]
Output:1
Explanation:

Minimal case with a single-element matrix.

Input:board = [["X","X",".","X"],[".",".",".","X"],["X",".",".","."],["X",".","X","X"]]
Output:4
Explanation:

Four separate battleships: a horizontal 2-cell ship in row 1 (positions [0,0] and [0,1]), a vertical 2-cell ship in column 4 (positions [0,3] and [1,3]), a vertical 2-cell ship in column 1 (positions [2,0] and [3,0]), and a horizontal 2-cell ship in row 4 (positions [3,2] and [3,3]).

Constraints

  • 1 ≤ m, n ≤ 200

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