Good or Bad: Classify Number by Prime Digit Sum

You are given a single integer x. Your task is to classify the number as follows:

Compute the digit sum of x and check if it is a prime number. If the digit sum is prime, output Good. Otherwise, output Bad.

Recall that a prime number is an integer \( p > 1 \) that has no positive divisors other than 1 and itself.

Input/Output Format: Use standard input (stdin) and standard output (stdout) to interact with the program.

inputFormat

A single integer x is provided on a line from stdin.

outputFormat

Output a single line: "Good" if the sum of the digits of x is a prime number, and "Bad" otherwise.## sample

29

Good