Below is the Python code for the solution function:
Python
def solution(S):
# Initialize the variables
count_a = 0
count_b = 0
deletions = 0
# Iterate through the string
for ch in S:
# Count the occurrences of 'A' and 'B'
if ch == 'A':
count_a += 1
else:
count_b += 1
# Check if the current character is 'B' and all previous characters are 'A'
if ch == 'B' and count_a > 0:
deletions += 1
# Check if there are any 'A's after any 'B's
if count_b > 0 and count_a > 0:
deletions += 1
return deletions
So, the above function is one that efficiently tells the minimum number of deletions required to obtain a string in the specified format. It iterates through the string, keeping track of the occurrences of 'A' and 'B'.
Therefore, It checks for instances where 'B' appears before 'A' and increments the deletion count accordingly. Then, it handles the case where both 'A's and 'B's exist and ensures the string adheres to the desired format.