
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 parametric equations of line $l$ as $ \begin{cases}x=a+t \\ y=b+t\end{cases} (t\text{ is the parameter})$, find the distance between the point with parameter $t_1$ and the point $(a,b)$.

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