
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
Given natural number n. Suppose that  $N$  is the maximum number of elephants that can be placed on a chessboard measuring  $2 \times  n$  so that no two elephants are mutually under attack. Determine the number of ways to put  $N$  elephants on a chessboard sized  $2 \times  n$  so that no two elephants attack each other.

Alternative Formulation: 
Determine the number of ways to put  $2015$  elephants on a chessboard measuring  $2 \times 2015$  so there are no two elephants attacking each othe

PS. Elephant  = Bishop

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