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"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> 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> 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> </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> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 <= slices.length <= 500</code></li>\n\t<li><code>slices.length % 3 == 0</code></li>\n\t<li><code>1 <= slices[i] <= 1000</code></li>\n</ul>\n",
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"difficulty": "Hard",
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"hints": [
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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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"The first one in the array is considered next to the last one in the array. Use Dynamic Programming to solve it."
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