
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
During the 2013 National Day, a city organized a large-scale group calisthenics performance involving 2013 participants, all of whom were students from the third, fourth, and fifth grades. The students wore entirely red, white, or blue sports uniforms. It was known that the fourth grade had 600 students, the fifth grade had 800 students, and there were a total of 800 students wearing white sports uniforms across all three grades. There were 200 students each wearing red or blue sports uniforms in the third grade, red sports uniforms in the fourth grade, and white sports uniforms in the fifth grade. How many students in the fourth grade wore blue sports uniforms?

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