
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
Weights of 1, 2, 3, 4, 8, and 16 grams are divided into two piles with equal total weight. The first pile contains two weights, and the second pile contains four weights. Which two weights are in the first pile?

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