
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
Given the following four conditions: ① $ab>0$, ② $a>0$ or $b>0$, ③ $a+b>2$, ④ $a>0$ and $b>0$. Among these, which can be considered as sufficient but not necessary conditions for "if $a,b \in \mathbb{R}$ then $a+b>0$" are ______. (Fill in the sequence numbers)

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