leetcode-problemset/leetcode-cn/originData/maximum-consecutive-floors-without-special-floors.json

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            "questionId": "2355",
            "questionFrontendId": "2274",
            "categoryTitle": "Algorithms",
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            "title": "Maximum Consecutive Floors Without Special Floors",
            "titleSlug": "maximum-consecutive-floors-without-special-floors",
            "content": "<p>Alice manages a company and has rented some floors of a building as office space. Alice has decided some of these floors should be <strong>special floors</strong>, used for relaxation only.</p>\n\n<p>You are given two integers <code>bottom</code> and <code>top</code>, which denote that Alice has rented all the floors from <code>bottom</code> to <code>top</code> (<strong>inclusive</strong>). You are also given the integer array <code>special</code>, where <code>special[i]</code> denotes a special floor that Alice has designated for relaxation.</p>\n\n<p>Return <em>the <strong>maximum</strong> number of consecutive floors without a special floor</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> bottom = 2, top = 9, special = [4,6]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> The following are the ranges (inclusive) of consecutive floors without a special floor:\n- (2, 3) with a total amount of 2 floors.\n- (5, 5) with a total amount of 1 floor.\n- (7, 9) with a total amount of 3 floors.\nTherefore, we return the maximum number which is 3 floors.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> bottom = 6, top = 8, special = [7,6,8]\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> Every floor rented is a special floor, so we return 0.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= special.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= bottom &lt;= special[i] &lt;= top &lt;= 10<sup>9</sup></code></li>\n\t<li>All the values of <code>special</code> are <strong>unique</strong>.</li>\n</ul>\n",
            "translatedTitle": "不含特殊楼层的最大连续楼层数",
            "translatedContent": "<p>Alice 管理着一家公司，并租用大楼的部分楼层作为办公空间。Alice 决定将一些楼层作为 <strong>特殊楼层</strong> ，仅用于放松。</p>\n\n<p>给你两个整数 <code>bottom</code> 和 <code>top</code> ，表示 Alice 租用了从 <code>bottom</code> 到 <code>top</code>（含 <code>bottom</code> 和 <code>top</code> 在内）的所有楼层。另给你一个整数数组 <code>special</code> ，其中 <code>special[i]</code> 表示&nbsp; Alice 指定用于放松的特殊楼层。</p>\n\n<p>返回不含特殊楼层的 <strong>最大</strong> 连续楼层数。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>bottom = 2, top = 9, special = [4,6]\n<strong>输出：</strong>3\n<strong>解释：</strong>下面列出的是不含特殊楼层的连续楼层范围：\n- (2, 3) ，楼层数为 2 。\n- (5, 5) ，楼层数为 1 。\n- (7, 9) ，楼层数为 3 。\n因此，返回最大连续楼层数 3 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>bottom = 6, top = 8, special = [7,6,8]\n<strong>输出：</strong>0\n<strong>解释：</strong>每层楼都被规划为特殊楼层，所以返回 0 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= special.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= bottom &lt;= special[i] &lt;= top &lt;= 10<sup>9</sup></code></li>\n\t<li><code>special</code> 中的所有值 <strong>互不相同</strong></li>\n</ul>\n",
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            "hints": [
                "Say we have a pair of special floors (x, y) with no other special floors in between. There are x - y - 1 consecutive floors in between them without a special floor.",
                "Say there are n special floors. After sorting special, we have answer = max(answer, special[i] – special[i – 1] – 1) for all 0 < i ≤ n.",
                "However, there are two special cases left to consider: the floors before special[0] and after special[n-1].",
                "To consider these cases, we have answer = max(answer, special[0] – bottom, top – special[n-1])."
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