
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
Patients participating in the medical insurance hospitalization treatment of a certain insurance company can enjoy segmented reimbursement. The reimbursement rules set by the insurance company are as shown in the table below. If a person receives a reimbursement amount of $1100$ yuan after hospitalization treatment, then how much is the hospitalization treatment fee for this person?

| Hospitalization Medical Expenses (yuan) | Reimbursement Rate (%) |
|----------------------------------------|-----------------------|
| Not exceeding $500$ yuan               | $0$                   |
| $500$-$1000$ yuan                      | $60$                  |
| $1000$-$3000$ yuan                     | $80$                  |
| $\ldots $                               | $\ldots $             |

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