Breaking Strings

You have an unwanted string of characters. Unfortunately, you can't just apply delete because your keyboard's d key isn't working. The only operation is break, which remove a subsegment consists of the same characters and concatenate both ends. What is the minimum number of break you need to apply to completely delete this string?

Explicit Example

  • The answer for string ababa is 3.
  • The answer for string abbccbba is 3.
  • The answer for string abcdefghi is 9.

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