
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
Bully Dima placed 38 wooden toothpicks in a rectangle shape of \(3 \times 5\). Then he simultaneously ignited two adjacent corners of this rectangle marked in the diagram below.

It is known that one toothpick burns in 10 seconds. How many seconds will it take for the whole structure to burn?

(The fire spreads from each burned toothpick to all adjacent unburned toothpicks at a constant speed.)

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