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42 lines
1.4 KiB
HTML
42 lines
1.4 KiB
HTML
<p>You are given an integer array <code>nums</code> of length <code>n</code>.</p>
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<p>Assume <code>arr<sub>k</sub></code> to be an array obtained by rotating <code>nums</code> by <code>k</code> positions clock-wise. We define the <strong>rotation function</strong> <code>F</code> on <code>nums</code> as follow:</p>
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<ul>
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<li><code>F(k) = 0 * arr<sub>k</sub>[0] + 1 * arr<sub>k</sub>[1] + ... + (n - 1) * arr<sub>k</sub>[n - 1].</code></li>
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</ul>
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<p>Return <em>the maximum value of</em> <code>F(0), F(1), ..., F(n-1)</code>.</p>
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<p>The test cases are generated so that the answer fits in a <strong>32-bit</strong> integer.</p>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<pre>
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<strong>Input:</strong> nums = [4,3,2,6]
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<strong>Output:</strong> 26
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<strong>Explanation:</strong>
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F(0) = (0 * 4) + (1 * 3) + (2 * 2) + (3 * 6) = 0 + 3 + 4 + 18 = 25
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F(1) = (0 * 6) + (1 * 4) + (2 * 3) + (3 * 2) = 0 + 4 + 6 + 6 = 16
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F(2) = (0 * 2) + (1 * 6) + (2 * 4) + (3 * 3) = 0 + 6 + 8 + 9 = 23
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F(3) = (0 * 3) + (1 * 2) + (2 * 6) + (3 * 4) = 0 + 2 + 12 + 12 = 26
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So the maximum value of F(0), F(1), F(2), F(3) is F(3) = 26.
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</pre>
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<p><strong class="example">Example 2:</strong></p>
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<pre>
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<strong>Input:</strong> nums = [100]
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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>n == nums.length</code></li>
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<li><code>1 <= n <= 10<sup>5</sup></code></li>
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<li><code>-100 <= nums[i] <= 100</code></li>
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</ul>
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