
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 5 weights. Their masses are 1000 g, 1001 g, 1002 g, 1004 g, and 1007 g, but they have no markings and are visually indistinguishable. There is a scale with a pointer that shows the mass in grams. How can you determine the 1000 g weight using three weighings?

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