
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
In some cells of a strip of size \(1 \times 2021\), one chip is placed in each cell. In each empty cell, a number is recorded equal to the absolute value of the difference in the number of chips to the left and right of that cell. It is known that all recorded numbers are distinct and non-zero. What is the minimum number of chips that can be placed in the cells?

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