
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
There are several stones, each with a mass not exceeding 2 kg, and the total mass of all stones is 100 kg. Some of these stones are selected such that their total mass differs from 10 kg by the smallest possible number $d$ for the given set. What is the maximum value of $d$ for all possible sets of stones?

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