mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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174 lines
18 KiB
JSON
174 lines
18 KiB
JSON
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"title": "Taking Maximum Energy From the Mystic Dungeon",
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"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' 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> </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> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 <= energy.length <= 10<sup>5</sup></code></li>\n\t<li><code>-1000 <= energy[i] <= 1000</code></li>\n\t<li><code>1 <= k <= energy.length - 1</code></li>\n</ul>\n\n<p> </p>\n",
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"Let <code>dp[i]</code> denote the energy we gain starting from index <code>i</code>.",
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"We can notice, that <code> dp[i] = dp[i + k] + energy[i]</code>."
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