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{
"data": {
"question": {
"questionId": "3525",
"questionFrontendId": "3259",
"categoryTitle": "Algorithms",
"boundTopicId": 2883077,
"title": "Maximum Energy Boost From Two Drinks",
"titleSlug": "maximum-energy-boost-from-two-drinks",
"content": "<p>You are given two integer arrays <code>energyDrinkA</code> and <code>energyDrinkB</code> of the same length <code>n</code> by a futuristic sports scientist. These arrays represent the energy boosts per hour provided by two different energy drinks, A and B, respectively.</p>\n\n<p>You want to <em>maximize</em> your total energy boost by drinking one energy drink <em>per hour</em>. However, if you want to switch from consuming one energy drink to the other, you need to wait for <em>one hour</em> to cleanse your system (meaning you won&#39;t get any energy boost in that hour).</p>\n\n<p>Return the <strong>maximum</strong> total energy boost you can gain in the next <code>n</code> hours.</p>\n\n<p><strong>Note</strong> that you can start consuming <em>either</em> of the two energy drinks.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> energyDrinkA<span class=\"example-io\"> = [1,3,1], </span>energyDrinkB<span class=\"example-io\"> = [3,1,1]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">5</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>To gain an energy boost of 5, drink only the energy drink A (or only B).</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> energyDrinkA<span class=\"example-io\"> = [4,1,1], </span>energyDrinkB<span class=\"example-io\"> = [1,1,3]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">7</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>To gain an energy boost of 7:</p>\n\n<ul>\n\t<li>Drink the energy drink A for the first hour.</li>\n\t<li>Switch to the energy drink B and we lose the energy boost of the second hour.</li>\n\t<li>Gain the energy boost of the drink B in the third hour.</li>\n</ul>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == energyDrinkA.length == energyDrinkB.length</code></li>\n\t<li><code>3 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= energyDrinkA[i], energyDrinkB[i] &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
"translatedTitle": "超级饮料的最大强化能量",
"translatedContent": "<p>来自未来的体育科学家给你两个整数数组 <code>energyDrinkA</code> 和 <code>energyDrinkB</code>,数组长度都等于 <code>n</code>。这两个数组分别代表 A、B 两种不同能量饮料每小时所能提供的强化能量。</p>\n\n<p>你需要每小时饮用一种能量饮料来 <strong>最大化 </strong>你的总强化能量。然而,如果从一种能量饮料切换到另一种,你需要等待一小时来梳理身体的能量体系(在那个小时里你将不会获得任何强化能量)。</p>\n\n<p>返回在接下来的 <code>n</code> 小时内你能获得的<strong> 最大 </strong>总强化能量。</p>\n\n<p><strong>注意 </strong>你可以选择从饮用任意一种能量饮料开始。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入:</strong>energyDrinkA<span class=\"example-io\"> = [1,3,1], </span>energyDrinkB<span class=\"example-io\"> = [3,1,1]</span></p>\n\n<p><strong>输出:</strong><span class=\"example-io\">5</span></p>\n\n<p><strong>解释:</strong></p>\n\n<p>要想获得 5 点强化能量,需要选择只饮用能量饮料 A或者只饮用 B。</p>\n</div>\n\n<p><strong class=\"example\">示例 2</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入:</strong>energyDrinkA<span class=\"example-io\"> = [4,1,1], </span>energyDrinkB<span class=\"example-io\"> = [1,1,3]</span></p>\n\n<p><strong>输出:</strong><span class=\"example-io\">7</span></p>\n\n<p><strong>解释:</strong></p>\n\n<ul>\n\t<li>第一个小时饮用能量饮料 A。</li>\n\t<li>切换到能量饮料 B ,在第二个小时无法获得强化能量。</li>\n\t<li>第三个小时饮用能量饮料 B ,并获得强化能量。</li>\n</ul>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>n == energyDrinkA.length == energyDrinkB.length</code></li>\n\t<li><code>3 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= energyDrinkA[i], energyDrinkB[i] &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
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"code": "class Solution(object):\n def maxEnergyBoost(self, energyDrinkA, energyDrinkB):\n \"\"\"\n :type energyDrinkA: List[int]\n :type energyDrinkB: List[int]\n :rtype: int\n \"\"\"",
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"hints": [
"Can we solve it using dynamic programming?",
"Define <code>dpA[i]</code> as the maximum energy boost if we consider only the first <code>i + 1</code> hours such that in the last hour, we drink the energy drink A.",
"Similarly define <code>dpB[i]</code>.",
"<code>dpA[i] = max(dpA[i - 1], dpB[i - 2]) + energyDrinkA[i]</code>",
"Similarly, fill <code>dpB</code>.",
"The answer is <code>max(dpA[n - 1], dpB[n - 1])</code>."
],
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