
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
There are 70 points on a circle. Choose one of the points and mark it with 1. Then, moving clockwise, mark the point that is one point away with 2, the point that is two points away with 3, the point that is three points away with 4, and continue this process until the numbers \(1, 2, 3, \ldots, 2014\) are all marked on the points. Each point may have more than one number marked on it. What is the smallest integer that is marked on the point that is marked with 2014?

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