
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
A regional planning committee presents a pie chart showing the distribution of cities based on the population within them. The chart includes four population categories. Determine the percentage of cities that have fewer than 50,000 residents if the pie chart details the following:
- 35% of the cities have between 50,000 and 100,000 residents.
- 45% of the cities have fewer than 20,000 residents.
- 10% of the cities have between 20,000 and 50,000 residents.
- 10% of the cities have more than 100,000 residents.

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