
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
The NIMO problem writers have invented a new chess piece called the *Oriented Knight*.  This new chess piece has a limited number of moves: it can either move two squares to the right and one square upward or two squares upward and one square to the right.  How many ways can the knight move from the bottom-left square to the top-right square of a  $16\times 16$  chess board?

*Proposed by Tony Kim and David Altizio*

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