
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
Among the statements below, choose the correct ones. Write down the numbers of these statements in ascending order, without using spaces, commas, or other separators.

Example of answer format: 12345

1) Among the numbers $123, 365, 293, 18$, exactly three numbers are divisible by 3.
2) If the radius of a circle is increased by $20\%$, then the area of this circle will increase by $44\%$.
3) The number 45 has more divisors than the number 36.
4) In a geometric progression with a common ratio equal to -2, the arithmetic mean of the first three terms is equal to the first term.
5) If the tenth term of an arithmetic progression is less than 5, and the twelfth term is greater than 7, then the common difference of this progression is greater than 1.
6) The number $6.4 \cdot 10^{11}$ is the square of a natural number.

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