
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
Teacher Smolná was preparing a test for her class in three versions, so the students couldn't copy from each other. In each version, she assigned three edges of a rectangular prism and asked the students to calculate its volume. However, she didn't solve the problems beforehand and didn't realize that the result is the same in all three versions. She wrote down the following edge lengths for the students: 12, 18, 20, 24, 30, 33, and 70, all in centimeters. Out of the nine edge lengths that Teacher Smolná assigned, we have revealed only seven to you, and we haven't disclosed which lengths belong to the same assignment. Determine the remaining two edge lengths.

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