
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
16 progamers are playing in a single elimination tournament. Each round, each of the remaining progamers plays against another and the loser is eliminated. Each time a progamer wins, he will have a ceremony to celebrate. A player's first ceremony is ten seconds long, and each subsequent ceremony is ten seconds longer than the previous one. What is the total length in seconds of all the ceremonies over the entire tournament?

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