
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
If you cut off two tails - a head grows; if you cut off a head, a new head grows, and if you cut off two heads, nothing grows. How should Ivan Tsarevich act to cut off all of the Snake's heads and tails as quickly as possible?

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