
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
"Water is the source of life." In order to encourage residents to conserve water, a certain city's water company has set the following standards for water charges:<br/>

| Water Usage $/$ Month | Price (元$/m^{3}) |
|-----------------------|-------------------|
| Not exceeding $20m^{3}$ | $3$ |
| Exceeding $20m^{3}$ | $4$ |

$(1)$ If a certain user's water usage in January is $19m^{3}$, then the user should pay ______ yuan for water in January.<br/>
$(2)$ If a user paid a total of 84 yuan for water in February, how many $m^{3}$ of water did the user use in February?

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