
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
There are four statements:

① "a>b" is a necessary and sufficient condition for "a^2>b^2";

② "A∩B = B" is a necessary but not sufficient condition for "B = ∅";

③ A necessary but not sufficient condition for "x = 3" is "x^2 - 2x - 3 = 0";

④ "m is a real number" is a sufficient but not necessary condition for "m is a rational number".

Among these, the correct statements are numbered \_\_\_\_\_\_\_\_.

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