
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

Jirka and Petr started a stopwatch, and within 15 seconds of starting, each began to clap. Jirka clapped regularly every 7 seconds, and Petr clapped regularly every 13 seconds. In the 90th second, they both clapped at the same time. Determine all possible times when Jirka and Petr could have started clapping.

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