Description

An integer array with $n$ elements is called a jolly jumper if the absolute differences between each pair of consecutive elements include all integers in $[1, n-1]$. For example, the array $\{1,4,2,3\}$ is a jolly jumper because the absolute differences are $3, 2, 1$.

Given an array, your task is to determine whether it is a jolly jumper.

Input Format

Each test case starts with an integer $n(1 \le n \le 1000)$, followed by $n$ space-separated integers in $[-10^8, 10^8]$.

Output Format

For each test case, output one line. If the array is a jolly jumper, output Jolly; otherwise, output Not jolly.

4 1 4 2 3

Jolly

5 1 4 2 -1 6

Not jolly

Hint

$1 \le n \le 1000$

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