You are given a string array words and a binary array groups both of length n, where words[i] is associated with groups[i].
Your task is to select the longest alternating subsequence from words. A subsequence of words is alternating if for any two consecutive strings in the sequence, their corresponding elements in the binary array groups differ. Essentially, you are to choose strings such that adjacent elements have non-matching corresponding bits in the groups array.
Formally, you need to find the longest subsequence of an array of indices [0, 1, ..., n - 1] denoted as [i0, i1, ..., ik-1], such that groups[ij] != groups[ij+1] for each 0 <= j < k - 1 and then find the words corresponding to these indices.
Return the selected subsequence. If there are multiple answers, return any of them.
\n\nNote: The elements in words are distinct.
\n
Example 1:
\n\nInput: words = ["e","a","b"], groups = [0,0,1]
\n\nOutput: ["e","b"]
\n\nExplanation: A subsequence that can be selected is ["e","b"] because groups[0] != groups[2]. Another subsequence that can be selected is ["a","b"] because groups[1] != groups[2]. It can be demonstrated that the length of the longest subsequence of indices that satisfies the condition is 2.
Example 2:
\n\nInput: words = ["a","b","c","d"], groups = [1,0,1,1]
\n\nOutput: ["a","b","c"]
\n\nExplanation: A subsequence that can be selected is ["a","b","c"] because groups[0] != groups[1] and groups[1] != groups[2]. Another subsequence that can be selected is ["a","b","d"] because groups[0] != groups[1] and groups[1] != groups[3]. It can be shown that the length of the longest subsequence of indices that satisfies the condition is 3.
\n
Constraints:
\n\n1 <= n == words.length == groups.length <= 1001 <= words[i].length <= 10groups[i] is either 0 or 1.words consists of distinct strings.words[i] consists of lowercase English letters.给你一个下标从 0 开始的字符串数组 words ，和一个下标从 0 开始的 二进制 数组 groups ，两个数组长度都是 n 。
你需要从 words 中选出 最长子序列。如果对于序列中的任何两个连续串，二进制数组 groups 中它们的对应元素不同，则 words 的子序列是不同的。
正式来说，你需要从下标 [0, 1, ..., n - 1] 中选出一个 最长子序列 ，将这个子序列记作长度为 k 的 [i0, i1, ..., ik - 1] ，对于所有满足 0 <= j < k - 1 的 j 都有 groups[ij] != groups[ij + 1] 。
请你返回一个字符串数组，它是下标子序列 依次 对应 words 数组中的字符串连接形成的字符串数组。如果有多个答案，返回 任意 一个。
注意：words 中的元素是不同的 。
\n\n
示例 1：
\n\n\n输入：words = [\"e\",\"a\",\"b\"], groups = [0,0,1]\n输出：[\"e\",\"b\"]\n解释：一个可行的子序列是 [0,2] ，因为 groups[0] != groups[2] 。\n所以一个可行的答案是 [words[0],words[2]] = [\"e\",\"b\"] 。\n另一个可行的子序列是 [1,2] ，因为 groups[1] != groups[2] 。\n得到答案为 [words[1],words[2]] = [\"a\",\"b\"] 。\n这也是一个可行的答案。\n符合题意的最长子序列的长度为 2 。\n\n
示例 2：
\n\n\n输入：words = [\"a\",\"b\",\"c\",\"d\"], groups = [1,0,1,1]\n输出：[\"a\",\"b\",\"c\"]\n解释：一个可行的子序列为 [0,1,2] 因为 groups[0] != groups[1] 且 groups[1] != groups[2] 。\n所以一个可行的答案是 [words[0],words[1],words[2]] = [\"a\",\"b\",\"c\"] 。\n另一个可行的子序列为 [0,1,3] 因为 groups[0] != groups[1] 且 groups[1] != groups[3] 。\n得到答案为 [words[0],words[1],words[3]] = [\"a\",\"b\",\"d\"] 。\n这也是一个可行的答案。\n符合题意的最长子序列的长度为 3 。\n\n
\n\n
提示：
\n\n1 <= n == words.length == groups.length <= 1001 <= words[i].length <= 10groups[i] 是 0 或 1。words 中的字符串 互不相同 。words[i] 只包含小写英文字母。groups.",
"For each index i in the range [1, n - 1], add i to the answer if groups[i] != groups[i - 1]."
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