
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)= \\begin{cases} (-1)^{n}\\sin \\dfrac {πx}{2}+2n,\\;x∈\[2n,2n+1) \\\\ (-1)^{n+1}\\sin \\dfrac {πx}{2}+2n+2,\\;x∈\[2n+1,2n+2)\\end{cases}(n∈N)\\)，if the sequence\\(\\{a\_{m}\\}\\) satisfies\\(a\_{m}=f(m)\\;(m∈N^{\*})\\)，and the sum of the first\\(m\\) terms of the sequence is\\(S\_{m}\\)，then\\(S\_{105}-S\_{96}=\\) \_\_\_\_\_\_ ．

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