
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
(5 points) (2015•Zhejiang Mock) If the real numbers $a$ and $b$ satisfy $2 \times 4^a - 2^a \cdot 3^b + 2 \times 9^b = 2^a + 3^b + 1$, then the range of values for $2^a + 3^b$ is.

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