
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 pile of stones has a total weight of 100 kg, with each stone weighing no more than 2 kg. By taking out some stones in various ways, find the difference between the total weight of these stones and 10 kg. Let the minimum absolute value of these differences be \( d \). Find the maximum value of \( d \).

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