Description

A sequence is called non-boring if its every connected subsequence contains a unique element, i.e. an element such that no other element of that subsequence has the same value.

Given a sequence of integers, decide whether it is non-boring.

Input Format

The first line of the input contains the number of test cases $T$. The descriptions of the test cases follow:

Each test case starts with an integer $n$ ($1\le n\le 200000$) denoting the length of the sequence. In the next line the $n$ elements of the sequence follow, separated with single spaces. The elements are non-negative integers less than $10^9$.

Output Format

Print the answers to the test cases in the order in which they appear in the input. For each test case print a single line containing the word non-boring or boring.

4
5
1 2 3 4 5
5
1 1 1 1 1
5
1 2 3 2 1
5
1 1 2 1 1

non-boring
boring
non-boring
boring