![\"\"](\"https://s3-lc-upload.s3.amazonaws.com/uploads/2018/08/02/shadow.png\")
You are given an n x n grid where we place some 1 x 1 x 1 cubes that are axis-aligned with the x, y, and z axes.
Each value v = grid[i][j] represents a tower of v cubes placed on top of the cell (i, j).
We view the projection of these cubes onto the xy, yz, and zx planes.
A projection is like a shadow, that maps our 3-dimensional figure to a 2-dimensional plane. We are viewing the "shadow" when looking at the cubes from the top, the front, and the side.
\n\nReturn the total area of all three projections.
\n\n\n
Example 1:
\n\n\nInput: grid = [[1,2],[3,4]]\nOutput: 17\nExplanation: Here are the three projections ("shadows") of the shape made with each axis-aligned plane.\n\n\nExample 2:
\n\n\nInput: grid = [[2]]\nOutput: 5\n\n\n
Example 3:
\n\n\nInput: grid = [[1,0],[0,2]]\nOutput: 8\n\n\n
\n
Constraints:
\n\nn == grid.length == grid[i].length1 <= n <= 500 <= grid[i][j] <= 50在 n x n 的网格 grid 中，我们放置了一些与 x，y，z 三轴对齐的 1 x 1 x 1 立方体。
每个值 v = grid[i][j] 表示有一列 v 个正方体叠放在格子 (i, j) 上。
现在，我们查看这些立方体在 xy 、yz 和 zx 平面上的投影。
投影 就像影子，将 三维 形体映射到一个 二维 平面上。从顶部、前面和侧面看立方体时，我们会看到“影子”。
\n\n返回 所有三个投影的总面积 。
\n\n\n\n
示例 1：
\n\n
\n输入：[[1,2],[3,4]]\n输出：17\n解释：这里有该形体在三个轴对齐平面上的三个投影(“阴影部分”)。\n\n\n
示例 2:
\n\n\n输入：grid = [[2]]\n输出：5\n\n\n
示例 3：
\n\n\n输入：[[1,0],[0,2]]\n输出：8\n\n\n
\n\n
提示：
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