
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 the function $f(x)=a\sin \left( \frac{\pi}{2}x+\alpha \right)+b\cos \left( \frac{\pi}{2}x+\beta \right)$, and $f(8)=m$, suppose we extract two different numbers each time from the five numbers ${1, 3, 5, 7, 9}$ and denote them as $t$ and $s$ respectively. The number of distinct values obtained from $\lg t - \lg s$ is $m$. Find the value of $f(2018)$.

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