
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
You are racing an Artificially Intelligent Robot, called Al, that you built. You can run at a constant speed of  $10$  m/s throughout the race. Meanwhile, Al starts running at a constant speed of  $ 1$  m/s. Thereafter, when exactly  $ 1$  second has passed from when Al last changed its speed, Al’s speed instantaneously becomes  $1$  m/s faster, so that Al runs at a constant speed of  $k$  m/s in the kth second of the race. (Start counting seconds at  $ 1$ ). Suppose Al beats you by exactly  $1$  second. How many meters was the race?

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