
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 equation of line l is $\begin{cases} x = a + t \\ y = b + t \end{cases}$ and the point P1 on line l corresponds to the parameter t1, calculate the distance between the point P1 and point P(a, b).

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