
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
Naomi has three colors of paint which she uses to paint the pattern below.  She paints each region a solid color, and each of the three colors is used at least once.  If Naomi is willing to paint two adjacent regions with the same color, how many color patterns could Naomi paint?

[asy]
size(150);
defaultpen(linewidth(2));
draw(origin--(37,0)--(37,26)--(0,26)--cycle^^(12,0)--(12,26)^^(0,17)--(37,17)^^(20,0)--(20,17)^^(20,11)--(37,11));
[/asy]

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