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54 lines
3.0 KiB
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54 lines
3.0 KiB
HTML
<p>You want to build <code>n</code> new buildings in a city. The new buildings will be built in a line and are labeled from <code>1</code> to <code>n</code>.</p>
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<p>However, there are city restrictions on the heights of the new buildings:</p>
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<ul>
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<li>The height of each building must be a non-negative integer.</li>
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<li>The height of the first building <strong>must</strong> be <code>0</code>.</li>
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<li>The height difference between any two adjacent buildings <strong>cannot exceed</strong> <code>1</code>.</li>
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</ul>
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<p>Additionally, there are city restrictions on the maximum height of specific buildings. These restrictions are given as a 2D integer array <code>restrictions</code> where <code>restrictions[i] = [id<sub>i</sub>, maxHeight<sub>i</sub>]</code> indicates that building <code>id<sub>i</sub></code> must have a height <strong>less than or equal to</strong> <code>maxHeight<sub>i</sub></code>.</p>
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<p>It is guaranteed that each building will appear <strong>at most once</strong> in <code>restrictions</code>, and building <code>1</code> will <strong>not</strong> be in <code>restrictions</code>.</p>
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<p>Return <em>the <strong>maximum possible height</strong> of the <strong>tallest</strong> building</em>.</p>
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<p> </p>
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<p><strong>Example 1:</strong></p>
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<img alt="" src="https://assets.leetcode.com/uploads/2021/04/08/ic236-q4-ex1-1.png" style="width: 400px; height: 253px;" />
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<pre>
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<strong>Input:</strong> n = 5, restrictions = [[2,1],[4,1]]
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<strong>Output:</strong> 2
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<strong>Explanation:</strong> The green area in the image indicates the maximum allowed height for each building.
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We can build the buildings with heights [0,1,2,1,2], and the tallest building has a height of 2.</pre>
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<p><strong>Example 2:</strong></p>
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<img alt="" src="https://assets.leetcode.com/uploads/2021/04/08/ic236-q4-ex2.png" style="width: 500px; height: 269px;" />
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<pre>
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<strong>Input:</strong> n = 6, restrictions = []
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<strong>Output:</strong> 5
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<strong>Explanation:</strong> The green area in the image indicates the maximum allowed height for each building.
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We can build the buildings with heights [0,1,2,3,4,5], and the tallest building has a height of 5.
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</pre>
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<p><strong>Example 3:</strong></p>
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<img alt="" src="https://assets.leetcode.com/uploads/2021/04/08/ic236-q4-ex3.png" style="width: 500px; height: 187px;" />
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<pre>
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<strong>Input:</strong> n = 10, restrictions = [[5,3],[2,5],[7,4],[10,3]]
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<strong>Output:</strong> 5
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<strong>Explanation:</strong> The green area in the image indicates the maximum allowed height for each building.
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We can build the buildings with heights [0,1,2,3,3,4,4,5,4,3], and the tallest building has a height of 5.
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</pre>
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<p> </p>
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<p><strong>Constraints:</strong></p>
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<ul>
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<li><code>2 <= n <= 10<sup>9</sup></code></li>
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<li><code>0 <= restrictions.length <= min(n - 1, 10<sup>5</sup>)</code></li>
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<li><code>2 <= id<sub>i</sub> <= n</code></li>
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<li><code>id<sub>i</sub></code> is <strong>unique</strong>.</li>
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<li><code>0 <= maxHeight<sub>i</sub> <= 10<sup>9</sup></code></li>
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</ul>
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