
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
It is said that when Aesop came to India, he challenged the Indian king to a game of chess. The king said: "If you can beat me, I will give you anything you want." Aesop replied: "If I win, you only need to place one grain of rice in the first square of the chessboard, two grains in the second square, and double the number of grains in each subsequent square. That's all I ask for." Students, please first use an algebraic expression to represent the total number of rice grains Aesop asked for on the chessboard (which has 64 squares), and estimate how many digits this number might have. Could the king possibly have enough rice?

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