
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 \(200\times 325\times 376\) rectangular solid is made by gluing together \(1\times 1\times 1\) cubes. An internal diagonal of this solid passes through the interiors of how many of the \(1\times 1\times 1\) cubes?

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