
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
Alice conducted a survey among a population to see how many believed that bats are commonly known to carry the flu. 90.5% of the surveyed population believed bats could spread diseases. Of those, 50.3% incorrectly thought that bats often transmitted the flu, a misconception held by 26 people. Determine the total number of people surveyed by Alice.

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