
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 \[\lfloor 1 \rfloor + \lfloor 1.5 \rfloor + \lfloor 2.0 \rfloor + \lfloor 2.5 \rfloor + \dots + \lfloor 104.5 \rfloor + \lfloor 105 \rfloor,\] where the arguments of the floor functions are in an arithmetic progression with a common difference of $0.5$ and the first term is $1$.

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