{ "data": { "question": { "questionId": "3212", "questionFrontendId": "2963", "categoryTitle": "Algorithms", "boundTopicId": 2559147, "title": "Count the Number of Good Partitions", "titleSlug": "count-the-number-of-good-partitions", "content": "
You are given a 0-indexed array nums consisting of positive integers.
A partition of an array into one or more contiguous subarrays is called good if no two subarrays contain the same number.
\n\nReturn the total number of good partitions of nums.
Since the answer may be large, return it modulo 109 + 7.
\n
Example 1:
\n\n\nInput: nums = [1,2,3,4]\nOutput: 8\nExplanation: 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\n\n
Example 2:
\n\n\nInput: nums = [1,1,1,1]\nOutput: 1\nExplanation: The only possible good partition is: ([1,1,1,1]).\n\n\n
Example 3:
\n\n\nInput: nums = [1,2,1,3]\nOutput: 2\nExplanation: The 2 possible good partitions are: ([1,2,1], [3]) and ([1,2,1,3]).\n\n\n
\n
Constraints:
\n\n1 <= nums.length <= 1051 <= nums[i] <= 109给你一个下标从 0 开始、由 正整数 组成的数组 nums。
将数组分割成一个或多个 连续 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 好分割方案 。
\n\n返回 nums 的 好分割方案 的 数目。
由于答案可能很大,请返回答案对 109 + 7 取余 的结果。
\n\n
示例 1:
\n\n\n输入:nums = [1,2,3,4]\n输出:8\n解释:有 8 种 好分割方案 :([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\n\n
示例 2:
\n\n\n输入:nums = [1,1,1,1]\n输出:1\n解释:唯一的 好分割方案 是:([1,1,1,1]) 。\n\n\n
示例 3:
\n\n\n输入:nums = [1,2,1,3]\n输出:2\n解释:有 2 种 好分割方案 :([1,2,1], [3]) 和 ([1,2,1,3]) 。\n\n\n
\n\n
提示:
\n\n1 <= nums.length <= 1051 <= nums[i] <= 109m segments, we can arbitrarily group the neighboring segments. How many ways are there to group these m segments?"
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