
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 famous Italian mathematician Fibonacci, while studying the breeding problem of rabbits, discovered a sequence of numbers: $1$, $1$, $2$, $3$, $5$, $8$, $\ldots$ The characteristic of this sequence is that the first two numbers are both $1$, and starting from the third number, each number is the sum of the two preceding numbers. This sequence $\{a_n\}$ is called the "Fibonacci sequence". Then, the value of $a_{1}a_{3}-a_{2}^{2}+a_{2}a_{4}-a_{3}^{2}+a_{3}a_{5}-a_{4}^{2}+\ldots+a_{2015}a_{2017}-a_{2016}^{2}=$ __________.

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