
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
The numbers 2, 3, 4 are written on the board. At each step, two of them (a and b) are chosen, and the third number is replaced by \(a + b - 1\).

1. Can the numbers 6, 9, 14 be obtained?
2. Can the numbers 2011, 2012, 2013 be obtained?
3. Can the numbers 2011, 2013, 2015 be obtained?

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