leetcode-problemset/leetcode-cn/originData/taking-maximum-energy-from-the-mystic-dungeon.json

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        "question": {
            "questionId": "3383",
            "questionFrontendId": "3147",
            "categoryTitle": "Algorithms",
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            "title": "Taking Maximum Energy From the Mystic Dungeon",
            "titleSlug": "taking-maximum-energy-from-the-mystic-dungeon",
            "content": "<p>In a mystic dungeon, <code>n</code> magicians are standing in a line. Each magician has an attribute that gives you energy. Some magicians can give you negative energy, which means taking energy from you.</p>\n\n<p>You have been cursed in such a way that after absorbing energy from magician <code>i</code>, you will be instantly transported to magician <code>(i + k)</code>. This process will be repeated until you reach the magician where <code>(i + k)</code> does not exist.</p>\n\n<p>In other words, you will choose a starting point and then teleport with <code>k</code> jumps until you reach the end of the magicians&#39; sequence, <strong>absorbing all the energy</strong> during the journey.</p>\n\n<p>You are given an array <code>energy</code> and an integer <code>k</code>. Return the <strong>maximum</strong> possible energy you can gain.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\" style=\"\n    border-color: var(--border-tertiary);\n    border-left-width: 2px;\n    color: var(--text-secondary);\n    font-size: .875rem;\n    margin-bottom: 1rem;\n    margin-top: 1rem;\n    overflow: visible;\n    padding-left: 1rem;\n\">\n<p><strong>Input:</strong> <span class=\"example-io\" style=\"\n    font-family: Menlo,sans-serif;\n    font-size: 0.85rem;\n\"> energy = [5,2,-10,-5,1], k = 3</span></p>\n\n<p><strong>Output:</strong><span class=\"example-io\" style=\"\n    font-family: Menlo,sans-serif;\n    font-size: 0.85rem;\n\"> 3</span></p>\n\n<p><strong>Explanation:</strong> We can gain a total energy of 3 by starting from magician 1 absorbing 2 + 1 = 3.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\" style=\"\n    border-color: var(--border-tertiary);\n    border-left-width: 2px;\n    color: var(--text-secondary);\n    font-size: .875rem;\n    margin-bottom: 1rem;\n    margin-top: 1rem;\n    overflow: visible;\n    padding-left: 1rem;\n\">\n<p><strong>Input:</strong><span class=\"example-io\" style=\"\n    font-family: Menlo,sans-serif;\n    font-size: 0.85rem;\n\"> energy = [-2,-3,-1], k = 2</span></p>\n\n<p><strong>Output:</strong><span class=\"example-io\" style=\"\n    font-family: Menlo,sans-serif;\n    font-size: 0.85rem;\n\"> -1</span></p>\n\n<p><strong>Explanation:</strong> We can gain a total energy of -1 by starting from magician 2.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= energy.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>-1000 &lt;= energy[i] &lt;= 1000</code></li>\n\t<li><code>1 &lt;= k &lt;= energy.length - 1</code></li>\n</ul>\n\n<p>&nbsp;</p>\n​​​​​​",
            "translatedTitle": "从魔法师身上吸取的最大能量",
            "translatedContent": "<p>在神秘的地牢中，<code>n</code> 个魔法师站成一排。每个魔法师都拥有一个属性，这个属性可以给你提供能量。有些魔法师可能会给你负能量，即从你身上吸取能量。</p>\n\n<p>你被施加了一种诅咒，当你从魔法师 <code>i</code> 处吸收能量后，你将被立即传送到魔法师 <code>(i + k)</code> 处。这一过程将重复进行，直到你到达一个不存在 <code>(i + k)</code> 的魔法师为止。</p>\n\n<p>换句话说，你将选择一个起点，然后以 <code>k</code> 为间隔跳跃，直到到达魔法师序列的末端，<strong>在过程中吸收所有的能量</strong>。</p>\n\n<p>给定一个数组 <code>energy</code> 和一个整数<code>k</code>，返回你能获得的<strong> 最大 </strong>能量。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1：</strong></p>\n\n<div class=\"example-block\" style=\"\n    border-color: var(--border-tertiary);\n    border-left-width: 2px;\n    color: var(--text-secondary);\n    font-size: .875rem;\n    margin-bottom: 1rem;\n    margin-top: 1rem;\n    overflow: visible;\n    padding-left: 1rem;\n\">\n<p><strong>输入：</strong><span class=\"example-io\" style=\"\n    font-family: Menlo,sans-serif;\n    font-size: 0.85rem;\n\"> energy = [5,2,-10,-5,1], k = 3</span></p>\n\n<p><strong>输出：</strong><span class=\"example-io\" style=\"\n    font-family: Menlo,sans-serif;\n    font-size: 0.85rem;\n\"> 3</span></p>\n\n<p><strong>解释：</strong>可以从魔法师 1 开始，吸收能量 2 + 1 = 3。</p>\n</div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<div class=\"example-block\" style=\"\n    border-color: var(--border-tertiary);\n    border-left-width: 2px;\n    color: var(--text-secondary);\n    font-size: .875rem;\n    margin-bottom: 1rem;\n    margin-top: 1rem;\n    overflow: visible;\n    padding-left: 1rem;\n\">\n<p><strong>输入：</strong><span class=\"example-io\" style=\"\n    font-family: Menlo,sans-serif;\n    font-size: 0.85rem;\n\"> energy = [-2,-3,-1], k = 2</span></p>\n\n<p><strong>输出：</strong><span class=\"example-io\" style=\"\n    font-family: Menlo,sans-serif;\n    font-size: 0.85rem;\n\"> -1</span></p>\n\n<p><strong>解释：</strong>可以从魔法师 2 开始，吸收能量 -1。</p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= energy.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>-1000 &lt;= energy[i] &lt;= 1000</code></li>\n\t<li><code>1 &lt;= k &lt;= energy.length - 1</code></li>\n</ul>\n\n<p>&nbsp;</p>\n",
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                "Let <code>dp[i]</code> denote the energy we gain starting from index <code>i</code>.",
                "We can notice, that <code> dp[i] = dp[i + k] + energy[i]</code>."
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