Description

A sequence of n （n> 0) integers is called a jolly jumper if the absolute values of the difference between successive elements take on all the values 1 through n-1. For instance, 1 4 2 3 is a jolly jumper, because the absolutes differences are 3, 2, and 1 respectively. The definition implies that any sequence of a single integer is a jolly jumper. You are to write a program to determine whether or not each of a number of sequences is a jolly jumper.

Input

Each line of input contains an integer n (n< 3000) followed by n integers representing the sequence.

Output

For each line of input, generate a line of output saying "Jolly" or "Not jolly".

Sample

Input

4 1 4 2 3
5 1 4 2 -1 6

Output

Jolly
Not jolly