
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 point and label it 1. Move clockwise, skipping one point, and label the next point 2. Skip two points and label the next point 3. Continue this pattern, until all numbers from 1 to 2014 have been labeled on the points. Each point may have more than one number labeled on it. What is the smallest integer labeled on the point that is also labeled with 2014?

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