
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
If the sum of real numbers x, y, and z is 1, what is the minimum value of $2x^2 + y^2 + 3z^2$?
A) 1
B) $\frac{2}{3}$
C) $\frac{6}{11}$
D) 11

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