
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
Determine the correct relationship among $y_1$, $y_2$, and $y_3$, where $y_{1}=0.9^{0.2}$, $y_{2}=0.9^{0.4}$, and $y_{3}=1.2^{0.1}$.

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