
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
A systematic sampling method is used to draw a sample of size 20 from a population of 160 students. The students are randomly numbered from 1 to 160 and then divided into 20 groups (1-8, 9-16, ..., 153-160) on average. If the number obtained in the 16th group is 126, what is the number determined by the lottery method in the 1st group?

Present the answer in LaTex format: \boxed{Your answer}
user