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A. Stair, Peak, or Neither?
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

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

  • A stair satisfies the condition $$$a<b<c$$$.
  • A peak satisfies the condition $$$a<b>c$$$.
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).

Example
Input
7
1 2 3
3 2 1
1 5 3
3 4 1
0 0 0
4 1 7
4 5 7
Output
STAIR
NONE
PEAK
PEAK
NONE
NONE
STAIR