Dynamic Programming Approach for Run-length Encoding Compression Optimization
Define a recursive function that takes the current index, the last character, the count of the last character, and the remaining deletions as parameters.
Use memoization to store the results of subproblems to avoid redundant calculations.
If the current index is at the end of the string, return the length of the encoded string based on the last character count.
If deletions are available, consider deleting the current character and recursively call the function with updated parameters.
If the current character is the same as the last character, increment the count and call the function recursively without changing the deletion count.
If the current character is different, reset the last character and count, and call the function recursively.
Take the minimum of the lengths obtained from keeping or deleting the current character.
Return the minimum length obtained for the current state.