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Jolly Jumpers

A sequence of n > 0 integers is called a jolly jumper if the absolute values of the differences between successive elements take on all possible values 1 through n - 1. For instance,

1 4 2 3

is a jolly jumper, because the absolute differences are 3, 2, and 1, respectively. The definition implies that any sequence of a single integer is a jolly jumper. Write a program to determine whether each of a number of sequences is a jolly jumper.


Each line of input contains an integer n < 3, 000 followed by n integers representing the sequence.


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

Sample Output

Not jolly