{ "data": { "question": { "questionId": "2115", "questionFrontendId": "1987", "categoryTitle": "Algorithms", "boundTopicId": 958637, "title": "Number of Unique Good Subsequences", "titleSlug": "number-of-unique-good-subsequences", "content": "

You are given a binary string binary. A subsequence of binary is considered good if it is not empty and has no leading zeros (with the exception of "0").

\n\n

Find the number of unique good subsequences of binary.

\n\n\n\n

Return the number of unique good subsequences of binary. Since the answer may be very large, return it modulo 109 + 7.

\n\n

A subsequence is a sequence that can be derived from another sequence by deleting some or no elements without changing the order of the remaining elements.

\n\n

 

\n

Example 1:

\n\n
\nInput: binary = "001"\nOutput: 2\nExplanation: The good subsequences of binary are ["0", "0", "1"].\nThe unique good subsequences are "0" and "1".\n
\n\n

Example 2:

\n\n
\nInput: binary = "11"\nOutput: 2\nExplanation: The good subsequences of binary are ["1", "1", "11"].\nThe unique good subsequences are "1" and "11".
\n\n

Example 3:

\n\n
\nInput: binary = "101"\nOutput: 5\nExplanation: The good subsequences of binary are ["1", "0", "1", "10", "11", "101"]. \nThe unique good subsequences are "0", "1", "10", "11", and "101".\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "不同的好子序列数目", "translatedContent": "

给你一个二进制字符串 binary 。 binary 的一个 子序列 如果是 非空 的且没有 前导 0 （除非数字是 \"0\" 本身），那么它就是一个 好 的子序列。

\n\n

请你找到 binary 不同好子序列 的数目。

\n\n\n\n

请你返回 binary 中 不同好子序列 的数目。由于答案可能很大，请将它对 109 + 7 取余 后返回。

\n\n

一个 子序列 指的是从原数组中删除若干个（可以一个也不删除）元素后，不改变剩余元素顺序得到的序列。

\n\n

 

\n\n

示例 1：

\n\n
输入：binary = \"001\"\n输出：2\n解释：好的二进制子序列为 [\"0\", \"0\", \"1\"] 。\n不同的好子序列为 \"0\" 和 \"1\" 。\n
\n\n

示例 2：

\n\n
输入：binary = \"11\"\n输出：2\n解释：好的二进制子序列为 [\"1\", \"1\", \"11\"] 。\n不同的好子序列为 \"1\" 和 \"11\" 。
\n\n

示例 3：

\n\n
输入：binary = \"101\"\n输出：5\n解释：好的二进制子序列为 [\"1\", \"0\", \"1\", \"10\", \"11\", \"101\"] 。\n不同的好子序列为 \"0\" ，\"1\" ，\"10\" ，\"11\" 和 \"101\" 。\n
\n\n

 

\n\n

提示：

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