Hard
Given the strings s1 and s2 of size n and the string evil, return the number of good strings.
A good string has size n, it is alphabetically greater than or equal to s1, it is alphabetically smaller than or equal to s2, and it does not contain the string evil as a substring. Since the answer can be a huge number, return this modulo 109 + 7.
Example 1:
Input: n = 2, s1 = “aa”, s2 = “da”, evil = “b”
Output: 51
Explanation: There are 25 good strings starting with ‘a’: “aa”,”ac”,”ad”,…,”az”. Then there are 25 good strings starting with ‘c’: “ca”,”cc”,”cd”,…,”cz” and finally there is one good string starting with ‘d’: “da”.
Example 2:
Input: n = 8, s1 = “leetcode”, s2 = “leetgoes”, evil = “leet”
Output: 0
Explanation: All strings greater than or equal to s1 and smaller than or equal to s2 start with the prefix “leet”, therefore, there is not any good string.
Example 3:
Input: n = 2, s1 = “gx”, s2 = “gz”, evil = “x”
Output: 2
Constraints:
s1.length == ns2.length == ns1 <= s21 <= n <= 5001 <= evil.length <= 50@Suppress("NAME_SHADOWING", "UNUSED_PARAMETER")
class Solution {
private val mod = 1000000007
private lateinit var next: IntArray
fun findGoodStrings(n: Int, s1: String, s2: String, evil: String): Int {
var s1 = s1
val s1arr = s1.toCharArray()
for (i in s1.length - 1 downTo 0) {
if (s1arr[i] > 'a') {
s1arr[i] = (s1arr[i].code - 1).toChar()
break
} else {
s1arr[i] = 'z'
}
}
s1 = String(s1arr)
next = getNext(evil)
return if (s1.compareTo(s2) > 0) {
lessOrEqualThan(s2, evil)
} else {
(lessOrEqualThan(s2, evil) - lessOrEqualThan(s1, evil) + mod) % mod
}
}
private fun lessOrEqualThan(s: String, e: String): Int {
val dp = Array(s.length + 1) { Array(e.length + 1) { LongArray(2) } }
dp[0][0][1] = 1
var res: Long = 0
for (i in 0 until s.length) {
for (state in 0 until e.length) {
run {
var c = 'a'
while (c <= 'z') {
val nextstate = getNextState(state, c, e)
dp[i + 1][nextstate][0] = (dp[i + 1][nextstate][0] + dp[i][state][0]) % mod
c++
}
}
var c = 'a'
while (c < s[i]) {
val nextstate = getNextState(state, c, e)
dp[i + 1][nextstate][0] = (dp[i + 1][nextstate][0] + dp[i][state][1]) % mod
c++
}
val nextstate = getNextState(state, s[i], e)
dp[i + 1][nextstate][1] = (dp[i + 1][nextstate][1] + dp[i][state][1]) % mod
}
}
for (i in 0 until e.length) {
res = (res + dp[s.length][i][0]) % mod
res = (res + dp[s.length][i][1]) % mod
}
return res.toInt()
}
private fun getNextState(prevState: Int, nextChar: Char, evil: String): Int {
var idx = prevState
while (idx != -1 && evil[idx] != nextChar) {
idx = next[idx]
}
return idx + 1
}
private fun getNext(e: String): IntArray {
val len = e.length
val localNext = IntArray(len)
localNext[0] = -1
var last = -1
var i = 0
while (i < len - 1) {
if (last == -1 || e[i] == e[last]) {
i++
last++
localNext[i] = last
} else {
last = localNext[last]
}
}
return localNext
}
}