Clock Short Hand and Long Hand

A mischievous notice has arrived from the primitive slow-life organization "Akaruda". Akaruda is famous for mischief such as throwing a pie at the face of a VIP, but recently it has become more radical, such as using gunpowder to sprinkle rat fireworks at the reception venue. The notice is the following text.

--- Personal computer Takes human time. not good. When the short and long hands of the clock meet, Akaruda justice is done. Slow life great.

It's terrifying and I'm not sure, but it seems to mean that the mischief is carried out when the minute hand and the minute hand of the clock overlap.

To be wary of this mischief, create a program that inputs the time and outputs "alert" if the short hand and the long hand are close, "safe" if they are far, and "warning" otherwise. However, "close" means that the angle between the short hand and the long hand is 0 ° or more and less than 30 °, and "far" means that the angle is 90 ° or more and 180 ° or less. The time should be between 00:00 and 11:59.

Input

The input is given in the following format:

n hh1: mm1 hh2: mm2 :: hhn: mmn

The number of times to be judged on the first line n (1 ≤ n ≤ 10000), and the i-th time hhi: mmi on the second and subsequent lines are given to each line.

Output

Output the judgment result of the i-th time safe, warning, or alert in order on one line.

Example

Input

4 02:15 06:01 11:55 10:40

Output

alert safe alert warning

inputFormat

inputs the time and

outputFormat

outputs "alert" if the short hand and the long hand are close, "safe" if they are far, and "warning" otherwise. However, "close" means that the angle between the short hand and the long hand is 0 ° or more and less than 30 °, and "far" means that the angle is 90 ° or more and 180 ° or less. The time should be between 00:00 and 11:59.

Input

The input is given in the following format:

n hh1: mm1 hh2: mm2 :: hhn: mmn

The number of times to be judged on the first line n (1 ≤ n ≤ 10000), and the i-th time hhi: mmi on the second and subsequent lines are given to each line.

Output

Output the judgment result of the i-th time safe, warning, or alert in order on one line.

Example

Input

4 02:15 06:01 11:55 10:40

Output

alert safe alert warning

样例

4
02:15
06:01
11:55
10:40

alert
safe
alert
warning

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