
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
A field is a grid square of size $41 \times 41$, in one of the cells of which a tank is hidden. A fighter plane shoots at one cell at a time. If the shot hits, the tank moves to an adjacent neighboring cell; if it misses, the tank remains in place. After the shot, the pilot does not know whether it was a hit or a miss. To destroy the tank, it must be hit twice. What is the minimum number of shots required to ensure that the tank is destroyed?

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