
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
Consider triangle $PQR$ where $P = (1, 1)$, $Q = (4, 4)$, and $R$ is on the line $x - y = 1$. Find the area of $\triangle PQR$.
A) 1.0  
B) 1.5  
C) 2.0  
D) 2.5  
E) 3.0

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