
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
In a certain intelligence reward quiz game, each participant can answer two questions (Question 1 and Question 2), and they can choose the order in which to answer the questions. However, they can only answer the second question if they answer the first one correctly. Suppose: getting Question $i$ correct $(i=1,2)$ results in a reward of $a_{i}$ yuan, and the probability of getting Question $i$ correct is $p_{i}(i=1,2)$, and the two answers do not affect each other. If $a_{1}=2a_{2}$ and $p_{1}+p_{2}=1$, which question should be answered first to potentially get a higher reward?

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