
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
Petya wrote all natural numbers from 1 to 16 into the cells of a $4 \times 4$ table such that any two consecutive numbers were in cells adjacent by side. Then he erased some numbers. Select all the pictures that could have resulted.

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