
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
There are large, medium, and small cubic pools, with inner edge lengths of 6 meters, 3 meters, and 2 meters, respectively. When two piles of gravel are submerged in the medium and small pools, the water levels in the respective pools rise by 6 centimeters and 4 centimeters. If these two piles of gravel are both submerged in the large pool, by how many centimeters will the water level rise?

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