
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
30 students are lined up in order of height from shortest to tallest, with the height difference between any two adjacent students being the same. The sum of the heights of the first 10 students is 1450 cm, and the sum of the heights of the first 20 students is 3030 cm. What is the sum of the heights of all 30 students in cm?

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