
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 group of travelers is taking a bus, with the requirement that the number of passengers on each bus is equal. Initially, each bus carried 22 people, leaving 1 person unable to board; if one bus leaves empty, then all the passengers can be evenly distributed among the remaining buses. Knowing that each bus can accommodate up to 32 people at most, how many buses were there initially? And how many passengers were there?

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