
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
On weekdays (Monday to Friday), Petya worked out in the gym five times. It is known that he spent a total of 135 minutes in the gym, with the time spent in the gym on any two different days differing by at least 7 minutes. What is the maximum duration that the shortest workout could have been?

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