
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
A $2 \times 2$ grid is composed of four $1 \times 1$ squares, each of which is painted either red or green. If it is required that the square above and to the right of a green square cannot be adjacent to a red square, and all four squares can either be not painted green at all or all painted green, then the total number of possible painting methods is     .

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