leetcode-problemset/leetcode-cn/originData/pizza-with-3n-slices.json

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            "title": "Pizza With 3n Slices",
            "titleSlug": "pizza-with-3n-slices",
            "content": "<p>There is a pizza with <code>3n</code> slices of varying size, you and your friends will take slices of pizza as follows:</p>\n\n<ul>\n\t<li>You will pick <strong>any</strong> pizza slice.</li>\n\t<li>Your friend Alice will pick the next slice in the anti-clockwise direction of your pick.</li>\n\t<li>Your friend Bob will pick the next slice in the clockwise direction of your pick.</li>\n\t<li>Repeat until there are no more slices of pizzas.</li>\n</ul>\n\n<p>Given an integer array <code>slices</code> that represent the sizes of the pizza slices in a clockwise direction, return <em>the maximum possible sum of slice sizes that you can pick</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/02/18/sample_3_1723.png\" style=\"width: 500px; height: 266px;\" />\n<pre>\n<strong>Input:</strong> slices = [1,2,3,4,5,6]\n<strong>Output:</strong> 10\n<strong>Explanation:</strong> Pick pizza slice of size 4, Alice and Bob will pick slices with size 3 and 5 respectively. Then Pick slices with size 6, finally Alice and Bob will pick slice of size 2 and 1 respectively. Total = 4 + 6.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n<img alt=\"\" src=\"https://assets.leetcode.com/uploads/2020/02/18/sample_4_1723.png\" style=\"width: 500px; height: 299px;\" />\n<pre>\n<strong>Input:</strong> slices = [8,9,8,6,1,1]\n<strong>Output:</strong> 16\n<strong>Explanation:</strong> Pick pizza slice of size 8 in each turn. If you pick slice with size 9 your partners will pick slices of size 8.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>3 * n == slices.length</code></li>\n\t<li><code>1 &lt;= slices.length &lt;= 500</code></li>\n\t<li><code>1 &lt;= slices[i] &lt;= 1000</code></li>\n</ul>\n",
            "translatedTitle": "3n 块披萨",
            "translatedContent": "<p>给你一个披萨，它由 3n 块不同大小的部分组成，现在你和你的朋友们需要按照如下规则来分披萨：</p>\n\n<ul>\n\t<li>你挑选 <strong>任意</strong>&nbsp;一块披萨。</li>\n\t<li>Alice 将会挑选你所选择的披萨逆时针方向的下一块披萨。</li>\n\t<li>Bob 将会挑选你所选择的披萨顺时针方向的下一块披萨。</li>\n\t<li>重复上述过程直到没有披萨剩下。</li>\n</ul>\n\n<p>每一块披萨的大小按顺时针方向由循环数组 <code>slices</code>&nbsp;表示。</p>\n\n<p>请你返回你可以获得的披萨大小总和的最大值。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<p><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/03/21/sample_3_1723.png\" style=\"height: 240px; width: 475px;\" /></p>\n\n<pre>\n<strong>输入：</strong>slices = [1,2,3,4,5,6]\n<strong>输出：</strong>10\n<strong>解释：</strong>选择大小为 4 的披萨，Alice 和 Bob 分别挑选大小为 3 和 5 的披萨。然后你选择大小为 6 的披萨，Alice 和 Bob 分别挑选大小为 2 和 1 的披萨。你获得的披萨总大小为 4 + 6 = 10 。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<p><strong><img alt=\"\" src=\"https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/03/21/sample_4_1723.png\" style=\"height: 250px; width: 475px;\" /></strong></p>\n\n<pre>\n<strong>输入：</strong>slices = [8,9,8,6,1,1]\n<strong>输出：</strong>16\n<strong>解释：</strong>两轮都选大小为 8 的披萨。如果你选择大小为 9 的披萨，你的朋友们就会选择大小为 8 的披萨，这种情况下你的总和不是最大的。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= slices.length &lt;= 500</code></li>\n\t<li><code>slices.length % 3 == 0</code></li>\n\t<li><code>1 &lt;= slices[i] &lt;= 1000</code></li>\n</ul>\n",
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                "By studying the pattern of the operations, we can find out that the problem is equivalent to: Given an integer array with size 3N, select N integers with maximum sum and any selected integers are not next to each other in the array.",
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