mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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164 lines
22 KiB
JSON
164 lines
22 KiB
JSON
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"title": "Maximum Number of Operations With the Same Score II",
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"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> </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> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 <= nums.length <= 2000</code></li>\n\t<li><code>1 <= nums[i] <= 1000</code></li>\n</ul>\n",
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"translatedTitle": "相同分数的最大操作数目 II",
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"translatedContent": "<p>给你一个整数数组 <code>nums</code> ,如果 <code>nums</code> <strong>至少</strong> 包含 <code>2</code> 个元素,你可以执行以下操作中的 <strong>任意</strong> 一个:</p>\n\n<ul>\n\t<li>选择 <code>nums</code> 中最前面两个元素并且删除它们。</li>\n\t<li>选择 <code>nums</code> 中最后两个元素并且删除它们。</li>\n\t<li>选择 <code>nums</code> 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 <strong>分数</strong> 是被删除元素的和。</p>\n\n<p>在确保<strong> 所有操作分数相同</strong> 的前提下,请你求出 <strong>最多</strong> 能进行多少次操作。</p>\n\n<p>请你返回按照上述要求 <strong>最多</strong> 可以进行的操作次数。</p>\n\n<p> </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> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>2 <= nums.length <= 2000</code></li>\n\t<li><code>1 <= nums[i] <= 1000</code></li>\n</ul>\n",
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"After the first operation, the score of other operations is fixed.",
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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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