Solved! Leetcode 2405. Optimal Partition of String

source: https://leetcode.com/problems/optimal-partition-of-string/description/

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:
Input: s = “abacaba”
Output: 4
Explanation:
Two possible partitions are (“a”,”ba”,”cab”,”a”) and (“ab”,”a”,”ca”,”ba”).
It can be shown that 4 is the minimum number of substrings needed.

Example 2:
Input: s = “ssssss”
Output: 6
Explanation:
The only valid partition is (“s”,”s”,”s”,”s”,”s”,”s”).

Constraints:

  • 1 <= s.length <= 105
  • s consists of only English lowercase letters.

Let’s say n is the number of characters in a string

Time Complexity
O(n), as we need to iterate over the entire string

Space Complexity
O(n), to store the characters in a HashSet

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