
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
Let  $f, g$  be bijections on  $\{1, 2, 3, \dots, 2016\}$ . Determine the value of   $$ \sum_{i=1}^{2016}\sum_{j=1}^{2016}[f(i)-g(j)]^{2559}. $$   

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