
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 travel agency conducted a promotion: "Buy a trip to Egypt, bring four friends who also buy the trip, and get the cost of your trip back." During the promotion, 13 buyers came on their own, and the rest were brought in by friends. Some of them brought exactly four new customers, while the remaining 100 did not bring anyone. How many tourists went to Egypt for free?

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