
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
Given several identical sets, each consisting of 4 objects with weights in whole grams. The task is to use these objects as weights to measure every integer gram weight from 1 gram to 1985 grams inclusively. To minimize the total weight of the objects used as weights, how many different combinations of 4 object weights achieve this goal?

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