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leetcode-problemset/leetcode-cn/originData/maximum-number-of-operations-with-the-same-score-ii.json
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"questionId": "3318",
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"categoryTitle": "Algorithms",
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"title": "Maximum Number of Operations With the Same Score II",
"titleSlug": "maximum-number-of-operations-with-the-same-score-ii",
"content": "<p>Given an array of integers called <code>nums</code>, you can perform <strong>any</strong> of the following operation while <code>nums</code> contains <strong>at least</strong> <code>2</code> elements:</p>\n\n<ul>\n\t<li>Choose the first two elements of <code>nums</code> and delete them.</li>\n\t<li>Choose the last two elements of <code>nums</code> and delete them.</li>\n\t<li>Choose the first and the last elements of <code>nums</code> and delete them.</li>\n</ul>\n\n<p>The<strong> score</strong> of the operation is the sum of the deleted elements.</p>\n\n<p>Your task is to find the <strong>maximum</strong> number of operations that can be performed, such that <strong>all operations have the same score</strong>.</p>\n\n<p>Return <em>the <strong>maximum</strong> number of operations possible that satisfy the condition mentioned above</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [3,2,1,2,3,4]\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> We perform the following operations:\n- Delete the first two elements, with score 3 + 2 = 5, nums = [1,2,3,4].\n- Delete the first and the last elements, with score 1 + 4 = 5, nums = [2,3].\n- Delete the first and the last elements, with score 2 + 3 = 5, nums = [].\nWe are unable to perform any more operations as nums is empty.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [3,2,6,1,4]\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> We perform the following operations:\n- Delete the first two elements, with score 3 + 2 = 5, nums = [6,1,4].\n- Delete the last two elements, with score 1 + 4 = 5, nums = [6].\nIt can be proven that we can perform at most 2 operations.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= nums.length &lt;= 2000</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 1000</code></li>\n</ul>\n",
"translatedTitle": "相同分数的最大操作数目 II",
"translatedContent": "<p>给你一个整数数组&nbsp;<code>nums</code>&nbsp;,如果&nbsp;<code>nums</code>&nbsp;<strong>至少</strong>&nbsp;包含 <code>2</code>&nbsp;个元素,你可以执行以下操作中的&nbsp;<strong>任意</strong>&nbsp;一个:</p>\n\n<ul>\n\t<li>选择 <code>nums</code>&nbsp;中最前面两个元素并且删除它们。</li>\n\t<li>选择 <code>nums</code>&nbsp;中最后两个元素并且删除它们。</li>\n\t<li>选择 <code>nums</code>&nbsp;中第一个和最后一个元素并且删除它们。</li>\n</ul>\n\n<p>一次操作的&nbsp;<strong>分数</strong>&nbsp;是被删除元素的和。</p>\n\n<p>在确保<strong>&nbsp;所有操作分数相同</strong>&nbsp;的前提下,请你求出&nbsp;<strong>最多</strong>&nbsp;能进行多少次操作。</p>\n\n<p>请你返回按照上述要求&nbsp;<strong>最多</strong>&nbsp;可以进行的操作次数。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1</strong></p>\n\n<pre>\n<b>输入:</b>nums = [3,2,1,2,3,4]\n<b>输出:</b>3\n<b>解释:</b>我们执行以下操作:\n- 删除前两个元素,分数为 3 + 2 = 5 nums = [1,2,3,4] 。\n- 删除第一个元素和最后一个元素,分数为 1 + 4 = 5 nums = [2,3] 。\n- 删除第一个元素和最后一个元素,分数为 2 + 3 = 5 nums = [] 。\n由于 nums 为空,我们无法继续进行任何操作。\n</pre>\n\n<p><strong class=\"example\">示例 2</strong></p>\n\n<pre>\n<b>输入:</b>nums = [3,2,6,1,4]\n<b>输出:</b>2\n<b>解释:</b>我们执行以下操作:\n- 删除前两个元素,分数为 3 + 2 = 5 nums = [6,1,4] 。\n- 删除最后两个元素,分数为 1 + 4 = 5 nums = [6] 。\n至多进行 2 次操作。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= nums.length &lt;= 2000</code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 1000</code></li>\n</ul>\n",
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"For the fixed score use dynamic programming <code>dp[l][r]</code> to find a maximum number of operations on the subarray <code>nums[l..r]</code>."
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