
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
Valya had five colorful ribbons in her box with lengths of 15, 20, 24, 26, and 30 cm. Kolya cut a piece from some (possibly all) of the ribbons. The average length of the ribbons decreased by 5 cm, but the median and range of the lengths did not change. What are the new lengths of the ribbons?

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