{ "data": { "question": { "questionId": "730", "questionFrontendId": "730", "categoryTitle": "Algorithms", "boundTopicId": 1774, "title": "Count Different Palindromic Subsequences", "titleSlug": "count-different-palindromic-subsequences", "content": "
Given a string s, return the number of different non-empty palindromic subsequences in s
. Since the answer may be very large, return it modulo 109 + 7
.
A subsequence of a string is obtained by deleting zero or more characters from the string.
\n\nA sequence is palindromic if it is equal to the sequence reversed.
\n\nTwo sequences a1, a2, ...
and b1, b2, ...
are different if there is some i
for which ai != bi
.
\n
Example 1:
\n\n\nInput: s = "bccb"\nOutput: 6\nExplanation: The 6 different non-empty palindromic subsequences are 'b', 'c', 'bb', 'cc', 'bcb', 'bccb'.\nNote that 'bcb' is counted only once, even though it occurs twice.\n\n\n
Example 2:
\n\n\nInput: s = "abcdabcdabcdabcdabcdabcdabcdabcddcbadcbadcbadcbadcbadcbadcbadcba"\nOutput: 104860361\nExplanation: There are 3104860382 different non-empty palindromic subsequences, which is 104860361 modulo 109 + 7.\n\n\n
\n
Constraints:
\n\n1 <= s.length <= 1000
s[i]
is either 'a'
, 'b'
, 'c'
, or 'd'
.给你一个字符串 s
,返回 s
中不同的非空回文子序列个数 。由于答案可能很大,请返回对 109 + 7
取余 的结果。
字符串的子序列可以经由字符串删除 0 个或多个字符获得。
\n\n如果一个序列与它反转后的序列一致,那么它是回文序列。
\n\n如果存在某个 i
, 满足 ai != bi
,则两个序列 a1, a2, ...
和 b1, b2, ...
不同。
\n\n
示例 1:
\n\n\n输入:s = 'bccb'\n输出:6\n解释:6 个不同的非空回文子字符序列分别为:'b', 'c', 'bb', 'cc', 'bcb', 'bccb'。\n注意:'bcb' 虽然出现两次但仅计数一次。\n\n\n
示例 2:
\n\n\n输入:s = 'abcdabcdabcdabcdabcdabcdabcdabcddcbadcbadcbadcbadcbadcbadcbadcba'\n输出:104860361\n解释:共有 3104860382 个不同的非空回文子序列,104860361 是对 109 + 7 取余后的值。\n\n\n
\n\n
提示:
\n\n1 <= s.length <= 1000
s[i]
仅包含 'a'
, 'b'
, 'c'
或 'd'
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