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leetcode-problemset/leetcode/originData/maximum-consecutive-floors-without-special-floors.json
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"title": "Maximum Consecutive Floors Without Special Floors",
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"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",
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"code": "class Solution(object):\n def maxConsecutive(self, bottom, top, special):\n \"\"\"\n :type bottom: int\n :type top: int\n :type special: List[int]\n :rtype: int\n \"\"\"\n ",
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"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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