
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
In a Turkish village, there are many long-living inhabitants, including old Ihsan, who is surrounded by his children, grandchildren, great-grandchildren, and great-great-grandchildren. Altogether, there are 2801 people, including Ihsan himself. Each of them has the same number of children, except for the great-great-grandchildren, who do not yet have children, and all the children are alive. Can you tell how many children old Ihsan has?

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