
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
The ancient Chinese mathematical classic "The Nine Chapters on the Mathematical Art" contains the problem "Rice and Grains": During the collection of grain at the granary, someone brought in $1680$ shi. Upon inspection, it was found that the rice contained grains. A sample of rice was taken, and among $250$ grains, $25$ were grains. Thus, the approximate amount of grains in this batch of rice is ________ shi.

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