
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
The teacher of the summer math camp brought with him several shirts, several pairs of pants, several pairs of shoes, and two jackets for the entire summer. On each lesson, he wore pants, a shirt, and shoes, and wore a jacket for some lessons. On any two lessons, at least one element of his attire or shoes was different. It is known that if he had taken one more shirt, he could have conducted 36 more lessons; if he had taken one more pair of pants, he could have conducted 72 more lessons; if he had taken one more pair of shoes, he could have conducted 54 more lessons. What is the maximum number of lessons he could have conducted under these conditions?

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