
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
Arrange the natural numbers from 1 to 1982 in a certain order in a row. A computer reads two adjacent numbers from left to right (the 1st and 2nd, the 2nd and 3rd, etc.). If the larger number is on the left side, the computer swaps their positions, then continues to read the next pair, until it reaches the end. After this, the computer reads the numbers from right to left, applying the same swapping rule. After these processes, it is found that the number in the 100th position has not changed its position in both passes. Find this number.

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