
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 company is awarding a total year-end bonus of 1 million yuan. The first prize is 15,000 yuan per person, the second prize is 10,000 yuan per person, and the third prize is 5,000 yuan per person. If the difference in the number of people awarded the third prize and the first prize is not less than 93 people but less than 96 people, what is the total number of people receiving the awards in the company?

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