
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
Given that the mean weight of the rocks in A is 45 pounds, the mean weight of the rocks in B is 55 pounds, the mean weight of the rocks in the combined piles A and B is 48 pounds, and the mean weight of the rocks in the combined piles A and C is 50 pounds, calculate the greatest possible integer value for the mean in pounds of the rocks in the combined piles B and C.

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