
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
The postal department stipulates that for letters weighing up to $100$ grams (including $100$ grams), each $20$ grams requires a postage stamp of $0.8$ yuan. If the weight is less than $20$ grams, it is rounded up to $20$ grams. For weights exceeding $100$ grams, the initial postage is $4$ yuan. For each additional $100$ grams beyond $100$ grams, an extra postage of $2$ yuan is required. In Class 8 (9), there are $11$ students participating in a project to learn chemistry knowledge. If each answer sheet weighs $12$ grams and each envelope weighs $4$ grams, and these $11$ answer sheets are divided into two envelopes for mailing, the minimum total amount of postage required is ____ yuan.

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