
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 first three stages of a new pattern are given, where each line segment represents a toothpick. In this pattern, the initial stage starts with 6 toothpicks forming an arrangement. Each successive stage adds 5 more toothpicks to the previous arrangement. How many toothpicks are needed to complete the design for the 200th stage?

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