
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 $\overrightarrow{a}=(1,-1)$, $\overrightarrow{b}=(t,1)$, if $(\overrightarrow{a}+\overrightarrow{b})\parallel(\overrightarrow{a}-\overrightarrow{b})$, then the real number $t=$ ______.

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