
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 rice is placed on 64 squares in a pattern where the number of grains doubles for each subsequent square, starting with 1 grain on the 1st square, 2 grains on the 2nd square, 4 grains on the 3rd square, and so on, with 2^63 grains on the 64th square. Additionally, the volume of 10^7 grains of rice is approximately 1 cubic meter, the global arable land area is approximately 1.5 * 10^13 square meters, lg 2 is approximately 0.30, and lg 3 is approximately 0.48.

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