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Number of Closed Islands

Given a 2D grid consists of 0s (land) and 1s (water).

Given a 2D grid consists of 0s (land) and 1s (water). An island is a maximal 4-directionally connected group of 0s and a closed island is an island totally (all left, top, right, bottom) surrounded by 1s.

Return the number of closed islands.

Number of Closed Islands diagram

Example 1

Input: grid = [[1,1,1,1,1,1,1,0],[1,0,0,0,0,1,1,0],[1,0,1,0,1,1,1,0],[1,0,0,0,0,1,0,1],[1,1,1,1,1,1,1,0]]

Output: 2

Explanation: Islands in gray are closed because they are completely surrounded by water (group of 1s).

Example 2

Input: grid = [[0,0,1,0,0],[0,1,0,1,0],[0,1,1,1,0]]

Output: 1

Example 3

Input: grid = [[1,1,1,1,1,1,1],

Output: 2

Constraints

  • 1 <= grid.length, grid[0].length <= 100
  • 0 <= grid[i][j] <=1

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