trapping-rain-water-ii

trapping-rain-water-ii


Given an m x n integer matrix heightMap representing the height of each unit cell in a 2D elevation map, return the volume of water it can trap after raining.



 


Example 1:



Input: heightMap = [[1,4,3,1,3,2],[3,2,1,3,2,4],[2,3,3,2,3,1]]
Output: 4
Explanation: After the rain, water is trapped between the blocks.
We have two small ponds 1 and 3 units trapped.
The total volume of water trapped is 4.


Example 2:



Input: heightMap = [[3,3,3,3,3],[3,2,2,2,3],[3,2,1,2,3],[3,2,2,2,3],[3,3,3,3,3]]
Output: 10


 


Constraints:




  • m == heightMap.length

  • n == heightMap[i].length

  • 1 <= m, n <= 200

  • 0 <= heightMap[i][j] <= 2 * 104


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