Given a string str containing lowercase English characters, we can perform the following two operations on the given string:
- Remove the entire string.
- Remove a prefix of the string str[0…i] only if it is equal to the sub-string str[(i + 1)…(2 * i + 1)].
The task is to find the maximum number of operations required to delete the entire string.
Input: str = “abababab”
Operation 1: Delete prefix “ab” and the string becomes “ababab”.
Operation 2: Delete prefix “ab” and the string becomes “abab”.
Operation 3: Delete prefix “ab”, str = “ab”.
Operation 4: Delete the entire string.
Input: s = “abc”
Approach: In order to maximize the number of operations, the prefix that is to be deleted must be of minimum length i.e. starting from a single character and appending the successive characters one by one find the minimum length prefix that satisfies the given condition. One operation will be required to delete this prefix say str[0…i] then recursively call the same function to find the result for the substring str[i+1…2*i+1]. If there is no such prefix that could be deleted then return 1 as the only possible operation is to delete the entire string.
Below is the implementation of the above approach:
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