
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
Suppose a pickled vegetable product can be classified into three grades: A, B, and C, according to industry production standards. A quality inspection is carried out on 420 boxes of pickled vegetables from these three grades in a single batch from a certain processing plant using stratified sampling. Let m, n, and t be the number of boxes sampled from grades A, B, and C, respectively. If 2t = m + n, then calculate the number of boxes classified as grade C out of the 420 boxes.

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