Optimal Partition of String

Given a string s, partition the string into one or more substrings such that the characters in each substring are unique. That is, no letter appears in a single substring more than once.

Return the minimum number of substrings in such a partition.

Note that each character should belong to exactly one substring in a partition.

Example 1
Inputs = "abacaba"
Output4
Two possible partitions are ("a", "ba", "cab", "a") and ("ab", "a", "ca", "ba"), and 4 is the minimum number of substrings needed.
Example 2
Inputs = "ssssss"
Output6
The only valid partition is ("s", "s", "s", "s", "s", "s").

Constraints

  • 1 <= s.length <= 10^5
  • s consists of only English lowercase letters.

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