Elbow feeling

A sequence is considered "grouped" if it does not contain any pair of identical elements that are separated by at least one element with a different value.

For a given sequence of numbers, output "Grouped" if the sequence is grouped, and output "Nongrouped" if it is not.

The sequence will contain no more than 1000 elements. Each element in the sequence is a number with an absolute value not exceeding 10^17.

Input

The input consists of a single line containing the sequence of numbers, separated by spaces.

Output

The output should be a single line containing the answer to the problem.

Examples