
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 \( S \) be the set of integers that can be written in the form \( 50m + 3n \) where \( m \) and \( n \) are non-negative integers. For example, 3, 50, and 53 are all in \( S \). Find the sum of all positive integers not in \( S \).

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