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

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