
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
Kornél found two disks of the same size, each of which is divided into 36 equal parts on its side. On each disk, 18 parts are painted yellow and 18 parts are painted green. Can the disks be placed on top of each other such that the dividing lines on the sides of the disks coincide, and at least in 18 cases the sections that fall on top of each other share the same color?

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