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leetcode-problemset/算法题(国外版)/number-of-visible-people-in-a-queue.html
2022-03-27 18:52:06 +08:00

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<p>There are <code>n</code> people standing in a queue, and they numbered from <code>0</code> to <code>n - 1</code> in <strong>left to right</strong> order. You are given an array <code>heights</code> of <strong>distinct</strong> integers where <code>heights[i]</code> represents the height of the <code>i<sup>th</sup></code> person.</p>
<p>A person can <strong>see</strong> another person to their right in the queue if everybody in between is <strong>shorter</strong> than both of them. More formally, the <code>i<sup>th</sup></code> person can see the <code>j<sup>th</sup></code> person if <code>i &lt; j</code> and <code>min(heights[i], heights[j]) &gt; max(heights[i+1], heights[i+2], ..., heights[j-1])</code>.</p>
<p>Return <em>an array </em><code>answer</code><em> of length </em><code>n</code><em> where </em><code>answer[i]</code><em> is the <strong>number of people</strong> the </em><code>i<sup>th</sup></code><em> person can <strong>see</strong> to their right in the queue</em>.</p>
<p>&nbsp;</p>
<p><strong>Example 1:</strong></p>
<p><img alt="" src="https://assets.leetcode.com/uploads/2021/05/29/queue-plane.jpg" style="width: 600px; height: 247px;" /></p>
<pre>
<strong>Input:</strong> heights = [10,6,8,5,11,9]
<strong>Output:</strong> [3,1,2,1,1,0]
<strong>Explanation:</strong>
Person 0 can see person 1, 2, and 4.
Person 1 can see person 2.
Person 2 can see person 3 and 4.
Person 3 can see person 4.
Person 4 can see person 5.
Person 5 can see no one since nobody is to the right of them.
</pre>
<p><strong>Example 2:</strong></p>
<pre>
<strong>Input:</strong> heights = [5,1,2,3,10]
<strong>Output:</strong> [4,1,1,1,0]
</pre>
<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>
<ul>
<li><code>n == heights.length</code></li>
<li><code>1 &lt;= n &lt;= 10<sup>5</sup></code></li>
<li><code>1 &lt;= heights[i] &lt;= 10<sup>5</sup></code></li>
<li>All the values of <code>heights</code> are <strong>unique</strong>.</li>
</ul>