
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 table below records the changes in water level in the Yangtze River during a week this year. The water level at the end of the previous week had already reached the warning level of $33$ meters (a positive sign indicates an increase in water level compared to the previous day, while a negative sign indicates a decrease). 

| Day of the Week | Monday | Tuesday | Wednesday | Thursday | Friday | Saturday |
|-----------------|--------|---------|-----------|----------|--------|----------|
| Water Level Change (meters) | $+0.2$ | $+0.8$ | $-0.4$ | $+0.2$ | $+0.3$ | $-0.2$ |

$(1)$ On which day of the week did the Yangtze River have the highest water level? Was it above or below the warning level?

$(2)$ Compared to the end of the previous week, did the water level in the Yangtze River rise or fall by the end of this week? Provide a calculation to support your answer.

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