4. Define T as the smallest set of strings that satisfies: if t1,t2 E T then their parenthesized concatenation (tit2) E T Some examples: "*", "(**)", "(*(**) are all in T. Now read over these four Python functions: def left_count (s: str) -> int: ti i tl Return the number of "(" in s t1 t return s.count("(") def double_count (s: str) -> int: ti i tl Return the number of "(C" plus number of ")", including possible overlaps. ti i tl return (len([s [i:] for i in range(len(s)) if s[i:] .startswith("((")]) + len([s [:i] for i in range(len(s) + 1) if s[:i].endswith("))")])) 4. Define T as the smallest set of strings that satisfies: if t1,t2 E T then their parenthesized concatenation (tit2) E T Some examples: "*", "(**)", "(*(**) are all in T. Now read over these four Python functions: def left_count (s: str) -> int: ti i tl Return the number of "(" in s t1 t return s.count("(") def double_count (s: str) -> int: ti i tl Return the number of "(C" plus number of ")", including possible overlaps. ti i tl return (len([s [i:] for i in range(len(s)) if s[i:] .startswith("((")]) + len([s [:i] for i in range(len(s) + 1) if s[:i].endswith("))")]))