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leetcode-problemset/leetcode-cn/originData/minimum-garden-perimeter-to-collect-enough-apples.json
2022-05-02 23:44:12 +08:00

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"question": {
"questionId": "1295",
"questionFrontendId": "1954",
"categoryTitle": "Algorithms",
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"title": "Minimum Garden Perimeter to Collect Enough Apples",
"titleSlug": "minimum-garden-perimeter-to-collect-enough-apples",
"content": "<p>In a garden represented as an infinite 2D grid, there is an apple tree planted at <strong>every</strong> integer coordinate. The apple tree planted at an integer coordinate <code>(i, j)</code> has <code>|i| + |j|</code> apples growing on it.</p>\n\n<p>You will buy an axis-aligned <strong>square plot</strong> of land that is centered at <code>(0, 0)</code>.</p>\n\n<p>Given an integer <code>neededApples</code>, return <em>the <strong>minimum perimeter</strong> of a plot such that <strong>at least</strong></em><strong> </strong><code>neededApples</code> <em>apples are <strong>inside or on</strong> the perimeter of that plot</em>.</p>\n\n<p>The value of <code>|x|</code> is defined as:</p>\n\n<ul>\n\t<li><code>x</code> if <code>x &gt;= 0</code></li>\n\t<li><code>-x</code> if <code>x &lt; 0</code></li>\n</ul>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2019/08/30/1527_example_1_2.png\" style=\"width: 442px; height: 449px;\" />\n<pre>\n<strong>Input:</strong> neededApples = 1\n<strong>Output:</strong> 8\n<strong>Explanation:</strong> A square plot of side length 1 does not contain any apples.\nHowever, a square plot of side length 2 has 12 apples inside (as depicted in the image above).\nThe perimeter is 2 * 4 = 8.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> neededApples = 13\n<strong>Output:</strong> 16\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> neededApples = 1000000000\n<strong>Output:</strong> 5040\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= neededApples &lt;= 10<sup>15</sup></code></li>\n</ul>\n",
"translatedTitle": "收集足够苹果的最小花园周长",
"translatedContent": "<p>给你一个用无限二维网格表示的花园,<strong>每一个</strong>&nbsp;整数坐标处都有一棵苹果树。整数坐标&nbsp;<code>(i, j)</code>&nbsp;处的苹果树有 <code>|i| + |j|</code>&nbsp;个苹果。</p>\n\n<p>你将会买下正中心坐标是 <code>(0, 0)</code>&nbsp;的一块 <strong>正方形土地</strong>&nbsp;,且每条边都与两条坐标轴之一平行。</p>\n\n<p>给你一个整数&nbsp;<code>neededApples</code>&nbsp;,请你返回土地的&nbsp;<strong>最小周长</strong>&nbsp;,使得&nbsp;<strong>至少</strong>&nbsp;有<strong>&nbsp;</strong><code>neededApples</code>&nbsp;个苹果在土地&nbsp;<strong>里面或者边缘上</strong>。</p>\n\n<p><code>|x|</code>&nbsp;的值定义为:</p>\n\n<ul>\n\t<li>如果&nbsp;<code>x &gt;= 0</code>&nbsp;,那么值为&nbsp;<code>x</code></li>\n\t<li>如果&nbsp;<code>x &lt;&nbsp;0</code>&nbsp;,那么值为&nbsp;<code>-x</code></li>\n</ul>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n<img alt=\"\" src=\"https://pic.leetcode-cn.com/1627790803-qcBKFw-image.png\" style=\"width: 442px; height: 449px;\" />\n<pre>\n<b>输入:</b>neededApples = 1\n<b>输出:</b>8\n<b>解释:</b>边长长度为 1 的正方形不包含任何苹果。\n但是边长为 2 的正方形包含 12 个苹果(如上图所示)。\n周长为 2 * 4 = 8 。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<b>输入:</b>neededApples = 13\n<b>输出:</b>16\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre>\n<b>输入:</b>neededApples = 1000000000\n<b>输出:</b>5040\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= neededApples &lt;= 10<sup>15</sup></code></li>\n</ul>\n",
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