国外版

算法题（国外版）/rank-transform-of-an-array.html

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+<p>Given an array of integers&nbsp;<code>arr</code>, replace each element with its rank.</p>
+
+<p>The rank represents how large the element is. The rank has the following rules:</p>
+
+<ul>
+	<li>Rank is an integer starting from 1.</li>
+	<li>The larger the element, the larger the rank. If two elements are equal, their rank must be the same.</li>
+	<li>Rank should be as small as possible.</li>
+</ul>
+
+<p>&nbsp;</p>
+<p><strong>Example 1:</strong></p>
+
+<pre>
+<strong>Input:</strong> arr = [40,10,20,30]
+<strong>Output:</strong> [4,1,2,3]
+<strong>Explanation</strong>: 40 is the largest element. 10 is the smallest. 20 is the second smallest. 30 is the third smallest.</pre>
+
+<p><strong>Example 2:</strong></p>
+
+<pre>
+<strong>Input:</strong> arr = [100,100,100]
+<strong>Output:</strong> [1,1,1]
+<strong>Explanation</strong>: Same elements share the same rank.
+</pre>
+
+<p><strong>Example 3:</strong></p>
+
+<pre>
+<strong>Input:</strong> arr = [37,12,28,9,100,56,80,5,12]
+<strong>Output:</strong> [5,3,4,2,8,6,7,1,3]
+</pre>
+
+<p>&nbsp;</p>
+<p><strong>Constraints:</strong></p>
+
+<ul>
+	<li><code>0 &lt;= arr.length &lt;= 10<sup>5</sup></code></li>
+	<li><code>-10<sup>9</sup>&nbsp;&lt;= arr[i] &lt;= 10<sup>9</sup></code></li>
+</ul>