{ "data": { "question": { "questionId": "3584", "questionFrontendId": "3302", "categoryTitle": "Algorithms", "boundTopicId": 2933888, "title": "Find the Lexicographically Smallest Valid Sequence", "titleSlug": "find-the-lexicographically-smallest-valid-sequence", "content": "
You are given two strings word1
and word2
.
A string x
is called almost equal to y
if you can change at most one character in x
to make it identical to y
.
A sequence of indices seq
is called valid if:
word1
in the same order results in a string that is almost equal to word2
.Return an array of size word2.length
representing the lexicographically smallest valid sequence of indices. If no such sequence of indices exists, return an empty array.
Note that the answer must represent the lexicographically smallest array, not the corresponding string formed by those indices.
\n\n\n
Example 1:
\n\nInput: word1 = "vbcca", word2 = "abc"
\n\nOutput: [0,1,2]
\n\nExplanation:
\n\nThe lexicographically smallest valid sequence of indices is [0, 1, 2]
:
word1[0]
to 'a'
.word1[1]
is already 'b'
.word1[2]
is already 'c'
.Example 2:
\n\nInput: word1 = "bacdc", word2 = "abc"
\n\nOutput: [1,2,4]
\n\nExplanation:
\n\nThe lexicographically smallest valid sequence of indices is [1, 2, 4]
:
word1[1]
is already 'a'
.word1[2]
to 'b'
.word1[4]
is already 'c'
.Example 3:
\n\nInput: word1 = "aaaaaa", word2 = "aaabc"
\n\nOutput: []
\n\nExplanation:
\n\nThere is no valid sequence of indices.
\nExample 4:
\n\nInput: word1 = "abc", word2 = "ab"
\n\nOutput: [0,1]
\n\n
Constraints:
\n\n1 <= word2.length < word1.length <= 3 * 105
word1
and word2
consist only of lowercase English letters.给你两个字符串 word1
和 word2
。
如果一个字符串 x
修改 至多 一个字符会变成 y
,那么我们称它与 y
几乎相等 。
如果一个下标序列 seq
满足以下条件,我们称它是 合法的 :
word1
中这些下标对应的字符 按顺序 连接,得到一个与 word2
几乎相等 的字符串。请你返回一个长度为 word2.length
的数组,表示一个 字典序最小 的 合法 下标序列。如果不存在这样的序列,请你返回一个 空 数组。
注意 ,答案数组必须是字典序最小的下标数组,而 不是 由这些下标连接形成的字符串。
\n\n\n\n
示例 1:
\n\n输入:word1 = \"vbcca\", word2 = \"abc\"
\n\n输出:[0,1,2]
\n\n解释:
\n\n字典序最小的合法下标序列为 [0, 1, 2]
:
word1[0]
变为 'a'
。word1[1]
已经是 'b'
。word1[2]
已经是 'c'
。示例 2:
\n\n输入:word1 = \"bacdc\", word2 = \"abc\"
\n\n输出:[1,2,4]
\n\n解释:
\n\n字典序最小的合法下标序列为 [1, 2, 4]
:
word1[1]
已经是 'a'
。word1[2]
变为 'b'
。word1[4]
已经是 'c'
。示例 3:
\n\n输入:word1 = \"aaaaaa\", word2 = \"aaabc\"
\n\n输出:[]
\n\n解释:
\n\n没有合法的下标序列。
\n示例 4:
\n\n输入:word1 = \"abc\", word2 = \"ab\"
\n\n输出:[0,1]
\n\n\n
提示:
\n\n1 <= word2.length < word1.length <= 3 * 105
word1
和 word2
只包含小写英文字母。dp[i]
be the longest suffix of word2
that exists as a subsequence of suffix of the substring of word1
starting at index i
.",
"If dp[i + 1] < m
and word1[i] == word2[m - dp[i + 1] - 1]
,dp[i] = dp[i + 1] + 1
. Otherwise, dp[i] = dp[i + 1]
.",
"For each index i
, greedily select characters using the dp
array to know whether a solution exists."
],
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