Given a string consisting of integers 0 to 9, count the number of substrings which, when converted into integers, are divisible by 6. Substrings should not contain leading zeroes.

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Count the number of substrings in a given string that are divisible by 6.

Iterate through all possible substrings of the given string.
Check if the substring is a valid integer and not starting with 0.
If the substring is divisible by 6, increment the count.
Return the count of substrings that are divisible by 6.