
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
An electronic insect lands at a point $K_0$ on the number line. Starting from $K_0$, the insect starts hopping: the first time, it jumps 1 unit length to the left to point $K_1$, the second time it jumps 2 unit lengths to the right to point $K_2$, the third time it jumps 3 unit lengths to the left to point $K_3$, and the fourth time it jumps 4 unit lengths to the right to point $K_4$, and so on following this pattern. When it has jumped for the 100th time, the electronic insect's position on the number line, represented by $K_{100}$, happens to be the number 2013. What is the number represented by the insect's starting position, $K_0$?

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