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leetcode/problem/max-increase-to-keep-city-skyline.html
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<p>There is a city composed of <code>n x n</code> blocks, where each block contains a single building shaped like a vertical square prism. You are given a <strong>0-indexed</strong> <code>n x n</code> integer matrix <code>grid</code> where <code>grid[r][c]</code> represents the <strong>height</strong> of the building located in the block at row <code>r</code> and column <code>c</code>.</p>
<p>A city&#39;s <strong>skyline</strong> is the the outer contour formed by all the building when viewing the side of the city from a distance. The <strong>skyline</strong> from each cardinal direction north, east, south, and west may be different.</p>
<p>A city&#39;s <strong>skyline</strong> is the&nbsp;outer contour formed by all the building when viewing the side of the city from a distance. The <strong>skyline</strong> from each cardinal direction north, east, south, and west may be different.</p>
<p>We are allowed to increase the height of <strong>any number of buildings by any amount</strong> (the amount can be different per building). The height of a <code>0</code>-height building can also be increased. However, increasing the height of a building should <strong>not</strong> affect the city&#39;s <strong>skyline</strong> from any cardinal direction.</p>
<p>Return <em>the <strong>maximum total sum</strong> that the height of the buildings can be increased by <strong>without</strong> changing the city&#39;s <strong>skyline</strong> from any cardinal direction</em>.</p>
<p>&nbsp;</p>
<p><strong>Example 1:</strong></p>
<p><strong class="example">Example 1:</strong></p>
<img alt="" src="https://assets.leetcode.com/uploads/2021/06/21/807-ex1.png" style="width: 700px; height: 603px;" />
<pre>
<strong>Input:</strong> grid = [[3,0,8,4],[2,4,5,7],[9,2,6,3],[0,3,1,0]]
@@ -21,7 +21,7 @@ gridNew = [ [8, 4, 8, 7],
[3, 3, 3, 3] ]
</pre>
<p><strong>Example 2:</strong></p>
<p><strong class="example">Example 2:</strong></p>
<pre>
<strong>Input:</strong> grid = [[0,0,0],[0,0,0],[0,0,0]]