
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 in the cells of a $4 \times 4$ table so that any two numbers differing by 1 ended up in adjacent cells. Then he erased some numbers. Choose all the pictures that could have resulted.

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