
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 the 2014 Heyuan Mock Test, for any real numbers $a$, $b$, $c$, the following statements are given:

1. "a = b" is a necessary and sufficient condition for "ac = bc";
2. "a + 5 is an irrational number" is a necessary and sufficient condition for "a is an irrational number";
3. "a > b" is a sufficient condition for "a^2 > b^2";
4. "a < 5" is a necessary condition for "a < 3".

Among these statements, the true ones are numbered \_\_\_\_\_\_\_\_.

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