
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
An algorithm for a problem is as follows:  
Step 1, set $i=1$, $S=0$.  
Step 2, if $i \leq 100$ is true, then go to Step 3; otherwise, output $S$ and end the algorithm.  
Step 3, set $S=S+i$.  
Step 4, set $i=i+1$, and go back to Step 2.  
The output of the algorithm is $\boxed{5050}$.

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