
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
In the Cartesian coordinate plane, given points $A(1,-3)$ and $B(4,-1)$, the line segment $AB$ is translated to line segment $A_{1}B_{1}$ (point $A$ corresponds to point $A_{1}$, and point $B$ corresponds to point $B_{1}$). If the coordinates of point $A_{1}$ are $(-2,0)$, then the coordinates of point $B_{1}$ are ____.

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