
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
The population of China is one billion people. It might seem that on a map of China with a scale of $1:1000000$ (1 cm: 10 km), it would be possible to fit a million times fewer people than there are in the entire country. However, in reality, not even 1000, let alone 100 people, could fit on this map. Can you explain this contradiction?

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