
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
Let the function  $f(x) = \left\lfloor x \right\rfloor\{x\}$ . Compute the smallest positive integer  $n$  such that the graph of  $f(f(f(x)))$  on the interval  $[0,n]$  is the union of 2017 or more line segments.

*Proposed by Ayush Kamat*

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