
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
A warehouse manager measured the total weight of 10 bags of flour, using 100 kilograms as the standard. Any excess weight is recorded as positive, and any deficiency is recorded as negative. The measurements are as follows: $+3$, $+1$, $0$, $+2$, $+6$, $-1$, $+2$, $+1$, $-4$, $+1$. Please answer the following questions:<br/>
$(1)$ Which bag of flour is closest to 100 kilograms in weight?<br/>
$(2)$ How many kilograms is the total weight of the flour over or under the standard 100 kilograms?<br/>
$(3)$ What is the total weight of the 10 bags of flour in kilograms?

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