
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 $41 \times 41$ grid, and a tank is hidden in one of the cells. A fighter plane fires at one cell at a time. If the shot hits, the tank moves to an adjacent cell (sharing a side); if the shot misses, the tank remains in place. After each shot, the pilot does not know if the shot was a hit or miss. To destroy the tank, it must be hit twice. What is the minimum number of shots needed to guarantee that the tank is destroyed?

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