
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
There are 121 storage rooms in a single row. Bars of highly enriched uranium need to be stored in such a way that the distance to the nearest bar is as large as possible. Once placed, bars cannot be moved. The first bar is placed in room 1, and the second bar is placed in room 121. 

In which room(s) could the 6th bar be placed? List all possibilities.

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