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算法题(国外版)/can-make-arithmetic-progression-from-sequence.html
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算法题(国外版)/can-make-arithmetic-progression-from-sequence.html
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<p>A sequence of numbers is called an <strong>arithmetic progression</strong> if the difference between any two consecutive elements is the same.</p>
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<p>Given an array of numbers <code>arr</code>, return <code>true</code> <em>if the array can be rearranged to form an <strong>arithmetic progression</strong>. Otherwise, return</em> <code>false</code>.</p>
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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 = [3,5,1]
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<strong>Output:</strong> true
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<strong>Explanation: </strong>We can reorder the elements as [1,3,5] or [5,3,1] with differences 2 and -2 respectively, between each consecutive elements.
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</pre>
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<p><strong>Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> arr = [1,2,4]
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<strong>Output:</strong> false
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<strong>Explanation: </strong>There is no way to reorder the elements to obtain an arithmetic progression.
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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 <= arr.length <= 1000</code></li>
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<li><code>-10<sup>6</sup> <= arr[i] <= 10<sup>6</sup></code></li>
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</ul>
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