
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 checkered square of size \(41 \times 41\), with a tank hidden in one of the cells. A fighter jet can target one cell per shot. If the shot hits the tank, the tank moves to an adjacent cell (sharing a side). If the shot misses, the tank remains in place. The pilot does not know whether a shot was a hit or a miss. To destroy the tank, it must be hit twice. What is the minimum number of shots required to guarantee the tank's destruction?

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