
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
Compute
\[
\lfloor 2 \rfloor + \lfloor 2.8 \rfloor + \lfloor 3.6 \rfloor + \dots + \lfloor 100.4 \rfloor + 2,
\]
where the arguments of the floor functions are in arithmetic progression with the final term just over 100 and a constant value of 2 is added at the end.

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