Write a function in Python to parse a string such that it accepts a parameter$-$ an encoded string. This encoded string will contain a first name, last name, and an id$.$ You can separate the values in the string by any number of zeros. The id will not contain any zeros. The function should return a Python dictionary with the first name, last name, and id values. For example, if the input would be "John$000$Doe$000123".$ Then the function should return: $\{$ "first$\_$name": "John", "last$\_$name": "Doe", $"$id$"$: $"123"\}$