
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
Kolya cut a $120 \times 120$ square into L-shaped pieces of different kinds. Vasya cut a similar square into L-shaped pieces of the same kinds but using a different method. Could Vasya end up with 11 more pieces than Kolya? (L-shaped pieces can be rotated.)

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