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53 lines
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53 lines
2.5 KiB
HTML
<p>You are given two <strong>0-indexed</strong> integer arrays <code>nums</code> and <code>multipliers</code><strong> </strong>of size <code>n</code> and <code>m</code> respectively, where <code>n >= m</code>.</p>
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<p>You begin with a score of <code>0</code>. You want to perform <strong>exactly</strong> <code>m</code> operations. On the <code>i<sup>th</sup></code> operation (<strong>0-indexed</strong>) you will:</p>
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<ul>
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<li>Choose one integer <code>x</code> from <strong>either the start or the end </strong>of the array <code>nums</code>.</li>
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<li>Add <code>multipliers[i] * x</code> to your score.
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<ul>
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<li>Note that <code>multipliers[0]</code> corresponds to the first operation, <code>multipliers[1]</code> to the second operation, and so on.</li>
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</ul>
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</li>
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<li>Remove <code>x</code> from <code>nums</code>.</li>
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</ul>
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<p>Return <em>the <strong>maximum</strong> score after performing </em><code>m</code> <em>operations.</em></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 = [1,2,3], multipliers = [3,2,1]
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<strong>Output:</strong> 14
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<strong>Explanation:</strong> An optimal solution is as follows:
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- Choose from the end, [1,2,<strong><u>3</u></strong>], adding 3 * 3 = 9 to the score.
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- Choose from the end, [1,<strong><u>2</u></strong>], adding 2 * 2 = 4 to the score.
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- Choose from the end, [<strong><u>1</u></strong>], adding 1 * 1 = 1 to the score.
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The total score is 9 + 4 + 1 = 14.</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 = [-5,-3,-3,-2,7,1], multipliers = [-10,-5,3,4,6]
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<strong>Output:</strong> 102
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<strong>Explanation: </strong>An optimal solution is as follows:
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- Choose from the start, [<u><strong>-5</strong></u>,-3,-3,-2,7,1], adding -5 * -10 = 50 to the score.
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- Choose from the start, [<strong><u>-3</u></strong>,-3,-2,7,1], adding -3 * -5 = 15 to the score.
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- Choose from the start, [<strong><u>-3</u></strong>,-2,7,1], adding -3 * 3 = -9 to the score.
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- Choose from the end, [-2,7,<strong><u>1</u></strong>], adding 1 * 4 = 4 to the score.
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- Choose from the end, [-2,<strong><u>7</u></strong>], adding 7 * 6 = 42 to the score.
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The total score is 50 + 15 - 9 + 4 + 42 = 102.
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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>m == multipliers.length</code></li>
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<li><code>1 <= m <= 300</code></li>
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<li><code>m <= n <= 10<sup>5</sup></code><code> </code></li>
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<li><code>-1000 <= nums[i], multipliers[i] <= 1000</code></li>
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</ul>
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