{ "data": { "question": { "questionId": "1744", "questionFrontendId": "1639", "categoryTitle": "Algorithms", "boundTopicId": 466360, "title": "Number of Ways to Form a Target String Given a Dictionary", "titleSlug": "number-of-ways-to-form-a-target-string-given-a-dictionary", "content": "

You are given a list of strings of the same length words and a string target.

\n\n

Your task is to form target using the given words under the following rules:

\n\n\n\n

Notice that you can use multiple characters from the same string in words provided the conditions above are met.

\n\n

Return the number of ways to form target from words. Since the answer may be too large, return it modulo 109 + 7.

\n\n

 

\n

Example 1:

\n\n
\nInput: words = ["acca","bbbb","caca"], target = "aba"\nOutput: 6\nExplanation: There are 6 ways to form target.\n"aba" -> index 0 ("acca"), index 1 ("bbbb"), index 3 ("caca")\n"aba" -> index 0 ("acca"), index 2 ("bbbb"), index 3 ("caca")\n"aba" -> index 0 ("acca"), index 1 ("bbbb"), index 3 ("acca")\n"aba" -> index 0 ("acca"), index 2 ("bbbb"), index 3 ("acca")\n"aba" -> index 1 ("caca"), index 2 ("bbbb"), index 3 ("acca")\n"aba" -> index 1 ("caca"), index 2 ("bbbb"), index 3 ("caca")\n
\n\n

Example 2:

\n\n
\nInput: words = ["abba","baab"], target = "bab"\nOutput: 4\nExplanation: There are 4 ways to form target.\n"bab" -> index 0 ("baab"), index 1 ("baab"), index 2 ("abba")\n"bab" -> index 0 ("baab"), index 1 ("baab"), index 3 ("baab")\n"bab" -> index 0 ("baab"), index 2 ("baab"), index 3 ("baab")\n"bab" -> index 1 ("abba"), index 2 ("baab"), index 3 ("baab")\n
\n\n

 

\n

Constraints:

\n\n\n", "translatedTitle": "通过给定词典构造目标字符串的方案数", "translatedContent": "

给你一个字符串列表 words 和一个目标字符串 target 。words 中所有字符串都 长度相同  。

\n\n

你的目标是使用给定的 words 字符串列表按照下述规则构造 target ：

\n\n\n\n

请注意， 在构造目标字符串的过程中，你可以按照上述规定使用 words 列表中 同一个字符串 的 多个字符 。

\n\n

请你返回使用 words 构造 target 的方案数。由于答案可能会很大，请对 109 + 7 取余 后返回。

\n\n

（译者注：此题目求的是有多少个不同的 k 序列，详情请见示例。）

\n\n

 

\n\n

示例 1：

\n\n
\n输入：words = [\"acca\",\"bbbb\",\"caca\"], target = \"aba\"\n输出：6\n解释：总共有 6 种方法构造目标串。\n\"aba\" -> 下标为 0 (\"acca\")，下标为 1 (\"bbbb\")，下标为 3 (\"caca\")\n\"aba\" -> 下标为 0 (\"acca\")，下标为 2 (\"bbbb\")，下标为 3 (\"caca\")\n\"aba\" -> 下标为 0 (\"acca\")，下标为 1 (\"bbbb\")，下标为 3 (\"acca\")\n\"aba\" -> 下标为 0 (\"acca\")，下标为 2 (\"bbbb\")，下标为 3 (\"acca\")\n\"aba\" -> 下标为 1 (\"caca\")，下标为 2 (\"bbbb\")，下标为 3 (\"acca\")\n\"aba\" -> 下标为 1 (\"caca\")，下标为 2 (\"bbbb\")，下标为 3 (\"caca\")\n
\n\n

示例 2：

\n\n
\n输入：words = [\"abba\",\"baab\"], target = \"bab\"\n输出：4\n解释：总共有 4 种不同形成 target 的方法。\n\"bab\" -> 下标为 0 (\"baab\")，下标为 1 (\"baab\")，下标为 2 (\"abba\")\n\"bab\" -> 下标为 0 (\"baab\")，下标为 1 (\"baab\")，下标为 3 (\"baab\")\n\"bab\" -> 下标为 0 (\"baab\")，下标为 2 (\"baab\")，下标为 3 (\"baab\")\n\"bab\" -> 下标为 1 (\"abba\")，下标为 2 (\"baab\")，下标为 3 (\"baab\")\n
\n\n

示例 3：

\n\n
\n输入：words = [\"abcd\"], target = \"abcd\"\n输出：1\n
\n\n

示例 4：

\n\n
\n输入：words = [\"abab\",\"baba\",\"abba\",\"baab\"], target = \"abba\"\n输出：16\n
\n\n

 

\n\n

提示：

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