
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 the country of Dalek Province, a province is called large if more than $7\%$ of the country's population lives in it. It is known that for each large province there are two provinces with smaller populations such that their combined population is greater than that of the large province. What is the minimum number of provinces that can be in Dalek Province?

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