You are given three digits $a$, $b$, and $c$. Determine whether they form a stair, a peak, or neither.

• A stair satisfies the condition $a \lt b \lt c$.
• A peak satisfies the condition $a \lt b \gt c$.

Input

The first line contains a single integer $t$ ($1 \leq t \leq 1000$) — the number of test cases.

The only line of each test case contains three digits $a$, $b$, $c$ ($0 \leq a$, $b$, $c \leq 9$).

Output

For each test case, output "STAIR" if the digits form a stair, "PEAK" if the digits form a peak, and "NONE" otherwise (output the strings without quotes).

Samples

7
1 2 3
3 2 1
1 5 3
3 4 1
0 0 0
4 1 7
4 5 7

STAIR
NONE
PEAK
PEAK
NONE
NONE
STAIR