
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
A circle is divided by 100 points into 100 equal arcs. Next to the points, numbers from 1 to 100 are written, each number exactly once. It turns out that for any number \( k \), if a diameter is drawn through the point with the number \( k \), then the numbers less than \( k \) are evenly distributed on both sides of this diameter. What number could be written at the point diametrically opposite to the point with the number \( 83 \)?

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