Medium
You are given an array of strings words
and a string target
.
A string x
is called valid if x
is a prefix of any string in words
.
Return the minimum number of valid strings that can be concatenated to form target
. If it is not possible to form target
, return -1
.
A prefix of a string is a substring that starts from the beginning of the string and extends to any point within it.
Example 1:
Input: words = [“abc”,”aaaaa”,”bcdef”], target = “aabcdabc”
Output: 3
Explanation:
The target string can be formed by concatenating:
words[1]
, i.e. "aa"
.words[2]
, i.e. "bcd"
.words[0]
, i.e. "abc"
.Example 2:
Input: words = [“abababab”,”ab”], target = “ababaababa”
Output: 2
Explanation:
The target string can be formed by concatenating:
words[0]
, i.e. "ababa"
.words[0]
, i.e. "ababa"
.Example 3:
Input: words = [“abcdef”], target = “xyz”
Output: -1
Constraints:
1 <= words.length <= 100
1 <= words[i].length <= 5 * 103
sum(words[i].length) <= 105
.words[i]
consists only of lowercase English letters.1 <= target.length <= 5 * 103
target
consists only of lowercase English letters.import kotlin.math.min
class Solution {
fun minValidStrings(words: Array<String>, target: String): Int {
val root = TrieNode()
for (word in words) {
insert(root, word)
}
val n = target.length
val dp = IntArray(n)
for (i in n - 1 downTo 0) {
dp[i] = Int.Companion.MAX_VALUE
var node = root
for (j in i until n) {
val idx = target[j].code - 'a'.code
if (node.children[idx] == null) {
break
}
if (j == n - 1) {
dp[i] = 1
} else if (dp[j + 1] >= 0) {
dp[i] = min(dp[i], (1 + dp[j + 1]))
}
node = node.children[idx]!!
}
if (dp[i] == Int.Companion.MAX_VALUE) {
dp[i] = -1
}
}
return dp[0]
}
private fun insert(root: TrieNode, word: String) {
var node = root
for (c in word.toCharArray()) {
if (node.children[c.code - 'a'.code] == null) {
node.children[c.code - 'a'.code] = TrieNode()
}
node = node.children[c.code - 'a'.code]!!
}
}
private class TrieNode {
var children: Array<TrieNode?> = arrayOfNulls<TrieNode>(26)
}
}