Medium
Given a string s
, you need to partition it into one or more balanced substrings. For example, if s == "ababcc"
then ("abab", "c", "c")
, ("ab", "abc", "c")
, and ("ababcc")
are all valid partitions, but ("a", **"bab"**, "cc")
, (**"aba"**, "bc", "c")
, and ("ab", **"abcc"**)
are not. The unbalanced substrings are bolded.
Return the minimum number of substrings that you can partition s
into.
Note: A balanced string is a string where each character in the string occurs the same number of times.
Example 1:
Input: s = “fabccddg”
Output: 3
Explanation:
We can partition the string s
into 3 substrings in one of the following ways: ("fab, "ccdd", "g")
, or ("fabc", "cd", "dg")
.
Example 2:
Input: s = “abababaccddb”
Output: 2
Explanation:
We can partition the string s
into 2 substrings like so: ("abab", "abaccddb")
.
Constraints:
1 <= s.length <= 1000
s
consists only of English lowercase letters.import kotlin.math.min
class Solution {
fun minimumSubstringsInPartition(s: String): Int {
val cs = s.toCharArray()
val n = cs.size
val dp = IntArray(n + 1)
dp.fill(n)
dp[0] = 0
for (i in 1..n) {
val count = IntArray(26)
var distinct = 0
var maxCount = 0
for (j in i - 1 downTo 0) {
val index = cs[j].code - 'a'.code
if (++count[index] == 1) {
distinct++
}
if (count[index] > maxCount) {
maxCount = count[index]
}
if (maxCount * distinct == i - j) {
dp[i] = min(dp[i], (dp[j] + 1))
}
}
}
return dp[n]
}
}