
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 the day the Ice Palace opened, children made an appointment to go together to escape the summer heat. There is a staircase in front of the Ice Palace, and Alice took 120 seconds to walk 20 steps. Walking at the same speed, Alice took a total of 180 seconds, just enough to finish all the steps. How many steps are there in the staircase to the Ice Palace?

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