
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 $1 \times 2014$ grid with 2014 cells is labeled from left to right with $1, 2, \cdots, 2014$. We use three colors $g, r, y$ to color each cell such that even-numbered cells can be colored with any of $g, r, y$ and odd-numbered cells can only be colored with either $g$ or $y$. Additionally, any two adjacent cells must be of different colors. How many possible ways are there to color this grid?

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