
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
Partition  $\frac1{2002},\frac1{2003},\frac1{2004},\ldots,\frac{1}{2017}$  into two groups. Define  $A$  the sum of the numbers in the first group, and  $B$  the sum of the numbers in the second group. Find the partition such that  $|A-B|$  attains it minimum and explains the reason.

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