
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
A young cyclist went to his fiancée to give her a bouquet of flowers and then returned back. Since he held the bouquet in one hand on the way to his fiancée, his average speed was only 17 km/h, but on the way back it increased to 23 km/h. 

What is the average speed of the cyclist for the entire round trip?

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