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