Hard
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.
A sequence is palindromic if it is equal to the sequence reversed.
Two sequences a1, a2, ...
and b1, b2, ...
are different if there is some i
for which ai != bi
.
Example 1:
Input: s = “bccb”
Output: 6
Explanation: The 6 different non-empty palindromic subsequences are ‘b’, ‘c’, ‘bb’, ‘cc’, ‘bcb’, ‘bccb’. Note that ‘bcb’ is counted only once, even though it occurs twice.
Example 2:
Input: s = “abcdabcdabcdabcdabcdabcdabcdabcddcbadcbadcbadcbadcbadcbadcbadcba”
Output: 104860361
Explanation: There are 3104860382 different non-empty palindromic subsequences, which is 104860361 modulo 109 + 7.
Constraints:
1 <= s.length <= 1000
s[i]
is either 'a'
, 'b'
, 'c'
, or 'd'
.@Suppress("NAME_SHADOWING")
class Solution {
fun countPalindromicSubsequences(s: String): Int {
val big = 1000000007
val len = s.length
if (len < 2) {
return len
}
val dp = Array(len) { IntArray(len) }
for (i in 0 until len) {
val c = s[i]
var deta = 1
dp[i][i] = 1
var l2 = -1
for (j in i - 1 downTo 0) {
if (s[j] == c) {
if (l2 < 0) {
l2 = j
deta = dp[j + 1][i - 1] + 1
} else {
deta = dp[j + 1][i - 1] - dp[j + 1][l2 - 1]
}
deta = deal(deta, big)
}
dp[j][i] = deal(dp[j][i - 1] + deta, big)
}
}
return deal(dp[0][len - 1], big)
}
private fun deal(x: Int, big: Int): Int {
var x = x
x %= big
if (x < 0) {
x += big
}
return x
}
}