
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
Two clocks started and finished striking simultaneously. The first clock strikes every 2 seconds, and the second clock strikes every 3 seconds. In total, 13 strikes were made (coinciding strikes were counted as one). How much time passed between the first and last strikes?


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