Given a string s containing only the characters '(', ')', and '*', determine whether s is valid and return true if so.

A string is considered valid if it satisfies all of the following rules:

• Every '(' must have a corresponding ')'.

• Every ')' must have a corresponding '('.

• Each '(' must appear before its corresponding ')'.

• The '*' character is flexible and may be interpreted as a '(', a ')', or an empty string "".

Constraints:

• $1 \leq$ s.length $\leq 10^2$

• s[i] is either '(', ')', or '*'

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