
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
Natural numbers from 1 to 1982 are arranged in some order. A computer examines pairs of adjacent numbers from left to right (the first and second, the second and third, etc. up to the last pair) and swaps the numbers in the examined pair if the larger number is on the left. Then it examines all pairs, moving from the last pair to the first, swapping numbers in the pairs by the same rule. After this examination, the operator received information that the number in the hundredth position did not move both times. Find this number.

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