leetcode-problemset/leetcode-cn/originData/maximum-total-damage-with-spell-casting.json

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            "questionId": "3437",
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            "categoryTitle": "Algorithms",
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            "title": "Maximum Total Damage With Spell Casting",
            "titleSlug": "maximum-total-damage-with-spell-casting",
            "content": "<p>A magician has various spells.</p>\n\n<p>You are given an array <code>power</code>, where each element represents the damage of a spell. Multiple spells can have the same damage value.</p>\n\n<p>It is a known fact that if a magician decides to cast a spell with a damage of <code>power[i]</code>, they <strong>cannot</strong> cast any spell with a damage of <code>power[i] - 2</code>, <code>power[i] - 1</code>, <code>power[i] + 1</code>, or <code>power[i] + 2</code>.</p>\n\n<p>Each spell can be cast <strong>only once</strong>.</p>\n\n<p>Return the <strong>maximum</strong> possible <em>total damage</em> that a magician can cast.</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> <span class=\"example-io\">power = [1,1,3,4]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">6</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>The maximum possible damage of 6 is produced by casting spells 0, 1, 3 with damage 1, 1, 4.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">power = [7,1,6,6]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">13</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>The maximum possible damage of 13 is produced by casting spells 1, 2, 3 with damage 1, 6, 6.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= power.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= power[i] &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
            "translatedTitle": "施咒的最大总伤害",
            "translatedContent": "<p>一个魔法师有许多不同的咒语。</p>\n\n<p>给你一个数组&nbsp;<code>power</code>&nbsp;，其中每个元素表示一个咒语的伤害值，可能会有多个咒语有相同的伤害值。</p>\n\n<p>已知魔法师使用伤害值为&nbsp;<code>power[i]</code>&nbsp;的咒语时，他们就&nbsp;<strong>不能</strong>&nbsp;使用伤害为&nbsp;<code>power[i] - 2</code>&nbsp;，<code>power[i] - 1</code>&nbsp;，<code>power[i] + 1</code>&nbsp;或者&nbsp;<code>power[i] + 2</code>&nbsp;的咒语。</p>\n\n<p>每个咒语最多只能被使用 <strong>一次</strong>&nbsp;。</p>\n\n<p>请你返回这个魔法师可以达到的伤害值之和的 <strong>最大值</strong>&nbsp;。</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><span class=\"example-io\"><b>输入：</b>power = [1,1,3,4]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>6</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p>可以使用咒语 0，1，3，伤害值分别为 1，1，4，总伤害值为 6 。</p>\n</div>\n\n<p><strong class=\"example\">示例 2：</strong></p>\n\n<div class=\"example-block\">\n<p><span class=\"example-io\"><b>输入：</b>power = [7,1,6,6]</span></p>\n\n<p><span class=\"example-io\"><b>输出：</b>13</span></p>\n\n<p><strong>解释：</strong></p>\n\n<p>可以使用咒语 1，2，3，伤害值分别为 1，6，6，总伤害值为 13 。</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;= power.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= power[i] &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
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            "hints": [
                "If we ever decide to use some spell with power <code>x</code>, then we will use all spells with power <code>x</code>.",
                "Think of dynamic programming.",
                "<code>dp[i][j]</code> represents the maximum damage considering up to the <code>i</code>-th unique spell and <code>j</code> represents the number of spells skipped (up to 3 as per constraints)."
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