
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
As shown in the diagram, Xixi draws a "square spiral" on a piece of paper, starting from the lower left corner and following the direction of the arrows, with segment lengths of $1 \mathrm{~cm}, 1 \mathrm{~cm}, 1 \mathrm{~cm}, 1 \mathrm{~cm}, 2 \mathrm{~cm}, 2 \mathrm{~cm}, 1 \mathrm{~cm}, 3 \mathrm{~cm}, 3 \mathrm{~cm}, \ldots \ldots$ successively. When Xixi finishes drawing the 100th segment, the total length of this "spiral line" is $\qquad$ cm.

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