
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
\( P, Q \) and \( R \) are the three angles of a triangle, when each has been rounded to the nearest degree. Which of the following is the complete list of possible values of \( P + Q + R \)?

A) \( 179^{\circ}, 180^{\circ} \) or \( 181^{\circ} \)  
B) \( 180^{\circ}, 181^{\circ} \) or \( 182^{\circ} \)  
C) \( 178^{\circ}, 179^{\circ} \) or \( 180^{\circ} \)  
D) \( 180^{\circ} \)  
E) \( 178^{\circ}, 179^{\circ}, 180^{\circ}, 181^{\circ} \) or \( 182^{\circ} \)

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