leetcode-problemset/leetcode-cn/originData/solving-questions-with-brainpower.json

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            "title": "Solving Questions With Brainpower",
            "titleSlug": "solving-questions-with-brainpower",
            "content": "<p>You are given a <strong>0-indexed</strong> 2D integer array <code>questions</code> where <code>questions[i] = [points<sub>i</sub>, brainpower<sub>i</sub>]</code>.</p>\n\n<p>The array describes the questions of an exam, where you have to process the questions <strong>in order</strong> (i.e., starting from question <code>0</code>) and make a decision whether to <strong>solve</strong> or <strong>skip</strong> each question. Solving question <code>i</code> will <strong>earn</strong> you <code>points<sub>i</sub></code> points but you will be <strong>unable</strong> to solve each of the next <code>brainpower<sub>i</sub></code> questions. If you skip question <code>i</code>, you get to make the decision on the next question.</p>\n\n<ul>\n\t<li>For example, given <code>questions = [[3, 2], [4, 3], [4, 4], [2, 5]]</code>:\n\n\t<ul>\n\t\t<li>If question <code>0</code> is solved, you will earn <code>3</code> points but you will be unable to solve questions <code>1</code> and <code>2</code>.</li>\n\t\t<li>If instead, question <code>0</code> is skipped and question <code>1</code> is solved, you will earn <code>4</code> points but you will be unable to solve questions <code>2</code> and <code>3</code>.</li>\n\t</ul>\n\t</li>\n</ul>\n\n<p>Return <em>the <strong>maximum</strong> points you can earn for the exam</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> questions = [[3,2],[4,3],[4,4],[2,5]]\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> The maximum points can be earned by solving questions 0 and 3.\n- Solve question 0: Earn 3 points, will be unable to solve the next 2 questions\n- Unable to solve questions 1 and 2\n- Solve question 3: Earn 2 points\nTotal points earned: 3 + 2 = 5. There is no other way to earn 5 or more points.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> questions = [[1,1],[2,2],[3,3],[4,4],[5,5]]\n<strong>Output:</strong> 7\n<strong>Explanation:</strong> The maximum points can be earned by solving questions 1 and 4.\n- Skip question 0\n- Solve question 1: Earn 2 points, will be unable to solve the next 2 questions\n- Unable to solve questions 2 and 3\n- Solve question 4: Earn 5 points\nTotal points earned: 2 + 5 = 7. There is no other way to earn 7 or more points.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= questions.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>questions[i].length == 2</code></li>\n\t<li><code>1 &lt;= points<sub>i</sub>, brainpower<sub>i</sub> &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
            "translatedTitle": "解决智力问题",
            "translatedContent": "<p>给你一个下标从 <strong>0</strong>&nbsp;开始的二维整数数组&nbsp;<code>questions</code>&nbsp;，其中&nbsp;<code>questions[i] = [points<sub>i</sub>, brainpower<sub>i</sub>]</code>&nbsp;。</p>\n\n<p>这个数组表示一场考试里的一系列题目，你需要 <strong>按顺序</strong>&nbsp;（也就是从问题 <code>0</code><strong>&nbsp;</strong>开始依次解决），针对每个问题选择 <strong>解决</strong>&nbsp;或者 <strong>跳过</strong>&nbsp;操作。解决问题 <code>i</code>&nbsp;将让你 <b>获得</b>&nbsp;&nbsp;<code>points<sub>i</sub></code>&nbsp;的分数，但是你将 <strong>无法</strong>&nbsp;解决接下来的&nbsp;<code>brainpower<sub>i</sub></code>&nbsp;个问题（即只能跳过接下来的 <code>brainpower<sub>i</sub></code><sub>&nbsp;</sub>个问题）。如果你跳过问题&nbsp;<code>i</code>&nbsp;，你可以对下一个问题决定使用哪种操作。</p>\n\n<ul>\n\t<li>比方说，给你&nbsp;<code>questions = [[3, 2], [4, 3], [4, 4], [2, 5]]</code>&nbsp;：\n\n\t<ul>\n\t\t<li>如果问题&nbsp;<code>0</code>&nbsp;被解决了， 那么你可以获得&nbsp;<code>3</code>&nbsp;分，但你不能解决问题&nbsp;<code>1</code> 和&nbsp;<code>2</code>&nbsp;。</li>\n\t\t<li>如果你跳过问题&nbsp;<code>0</code>&nbsp;，且解决问题&nbsp;<code>1</code>&nbsp;，你将获得 <code>4</code> 分但是不能解决问题&nbsp;<code>2</code> 和&nbsp;<code>3</code>&nbsp;。</li>\n\t</ul>\n\t</li>\n</ul>\n\n<p>请你返回这场考试里你能获得的 <strong>最高</strong>&nbsp;分数。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><b>输入：</b>questions = [[3,2],[4,3],[4,4],[2,5]]\n<b>输出：</b>5\n<b>解释：</b>解决问题 0 和 3 得到最高分。\n- 解决问题 0 ：获得 3 分，但接下来 2 个问题都不能解决。\n- 不能解决问题 1 和 2\n- 解决问题 3 ：获得 2 分\n总得分为：3 + 2 = 5 。没有别的办法获得 5 分或者多于 5 分。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><b>输入：</b>questions = [[1,1],[2,2],[3,3],[4,4],[5,5]]\n<b>输出：</b>7\n<b>解释：</b>解决问题 1 和 4 得到最高分。\n- 跳过问题 0\n- 解决问题 1 ：获得 2 分，但接下来 2 个问题都不能解决。\n- 不能解决问题 2 和 3\n- 解决问题 4 ：获得 5 分\n总得分为：2 + 5 = 7 。没有别的办法获得 7 分或者多于 7 分。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= questions.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>questions[i].length == 2</code></li>\n\t<li><code>1 &lt;= points<sub>i</sub>, brainpower<sub>i</sub> &lt;= 10<sup>5</sup></code></li>\n</ul>\n",
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                "For each question, we can either solve it or skip it. How can we use Dynamic Programming to decide the most optimal option for each problem?",
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