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32 lines
1.2 KiB
HTML
32 lines
1.2 KiB
HTML
<p>The <strong>width</strong> of a sequence is the difference between the maximum and minimum elements in the sequence.</p>
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<p>Given an array of integers <code>nums</code>, return <em>the sum of the <strong>widths</strong> of all the non-empty <strong>subsequences</strong> of </em><code>nums</code>. Since the answer may be very large, return it <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>.</p>
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<p>A <strong>subsequence</strong> is a sequence that can be derived from an array by deleting some or no elements without changing the order of the remaining elements. For example, <code>[3,6,2,7]</code> is a subsequence of the array <code>[0,3,1,6,2,2,7]</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> nums = [2,1,3]
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<strong>Output:</strong> 6
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Explanation: The subsequences are [1], [2], [3], [2,1], [2,3], [1,3], [2,1,3].
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The corresponding widths are 0, 0, 0, 1, 1, 2, 2.
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The sum of these widths is 6.
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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> nums = [2]
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<strong>Output:</strong> 0
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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>1 <= nums.length <= 10<sup>5</sup></code></li>
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<li><code>1 <= nums[i] <= 10<sup>5</sup></code></li>
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</ul>
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