
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
In a mathematics summer camp, 100 students are assigned numbers from 001 to 100. A systematic sampling method is used to select a sample of 25 students. If the randomly chosen initial number is 004, how many of the students numbered from 046 to 078 will be selected in the sample?

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