
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
Xiao Lin actively participates in physical exercise and runs every day. He uses $1000m$ as the standard distance, with distances exceeding this marked as positive and distances less than this marked as negative. The table below shows Xiao Lin's running records for a week:

| Day of the Week | Monday | Tuesday | Wednesday | Thursday | Friday | Saturday | Sunday |
|-----------------|--------|---------|-----------|----------|--------|----------|--------|
| Running Distance ($m$) | $+420$ | $+460$ | $-100$ | $-210$ | $-330$ | $+200$ | $0$ |

$(1)$ On Wednesday, Xiao Lin ran ______ meters;<br/>
$(2)$ The least distance Xiao Lin ran in a day was ______ meters. The day he ran the most was ______ meters more than the day he ran the least;<br/>
$(3)$ What is the total distance Xiao Lin ran?

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