
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 ten weights of different weights, each weighing an integer number of grams. It is known that the weight of the lightest weight and the heaviest weight differ by 9 grams. One weight is lost. Determine its weight if the total weight of the remaining weights is 2022 grams.

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