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"categoryTitle": "Algorithms",
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"title": "Count the Number of Good Partitions",
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"content": "<p>You are given a <strong>0-indexed</strong> array <code>nums</code> consisting of <strong>positive</strong> integers.</p>\n\n<p>A partition of an array into one or more <strong>contiguous</strong> subarrays is called <strong>good</strong> if no two subarrays contain the same number.</p>\n\n<p>Return <em>the <strong>total number</strong> of good partitions of </em><code>nums</code>.</p>\n\n<p>Since the answer may be large, return it <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,2,3,4]\n<strong>Output:</strong> 8\n<strong>Explanation:</strong> The 8 possible good partitions are: ([1], [2], [3], [4]), ([1], [2], [3,4]), ([1], [2,3], [4]), ([1], [2,3,4]), ([1,2], [3], [4]), ([1,2], [3,4]), ([1,2,3], [4]), and ([1,2,3,4]).\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,1,1,1]\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> The only possible good partition is: ([1,1,1,1]).\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [1,2,1,3]\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> The 2 possible good partitions are: ([1,2,1], [3]) and ([1,2,1,3]).\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
"translatedTitle": "统计好分割方案的数目",
"translatedContent": "<p>给你一个下标从 <strong>0</strong> 开始、由 <strong>正整数</strong> 组成的数组 <code>nums</code>。</p>\n\n<p>将数组分割成一个或多个<strong> 连续</strong> 子数组,如果不存在包含了相同数字的两个子数组,则认为是一种 <strong>好分割方案</strong> 。</p>\n\n<p>返回 <code>nums</code> 的 <strong>好分割方案</strong> 的 <strong>数目</strong>。</p>\n\n<p>由于答案可能很大,请返回答案对 <code>10<sup>9</sup> + 7</code> <strong>取余</strong> 的结果。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>nums = [1,2,3,4]\n<strong>输出:</strong>8\n<strong>解释:</strong>有 8 种 <strong>好分割方案 </strong>([1], [2], [3], [4]), ([1], [2], [3,4]), ([1], [2,3], [4]), ([1], [2,3,4]), ([1,2], [3], [4]), ([1,2], [3,4]), ([1,2,3], [4]) 和 ([1,2,3,4]) 。\n</pre>\n\n<p><strong class=\"example\">示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>nums = [1,1,1,1]\n<strong>输出:</strong>1\n<strong>解释:</strong>唯一的 <strong>好分割方案</strong> 是:([1,1,1,1]) 。\n</pre>\n\n<p><strong class=\"example\">示例 3</strong></p>\n\n<pre>\n<strong>输入:</strong>nums = [1,2,1,3]\n<strong>输出:</strong>2\n<strong>解释:</strong>有 2 种<strong> 好分割方案 </strong>([1,2,1], [3]) 和 ([1,2,1,3]) 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= nums[i] &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
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"Partition the array into segments making each one as short as possible. This can be achieved by two-pointers or using a Set.",
"If we have <code>m</code> segments, we can arbitrarily group the neighboring segments. How many ways are there to group these <code>m</code> segments?"
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