
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 number of toothpicks used to build a rectangular grid that is 15 toothpicks high and 15 toothpicks wide is calculated as the sum of the number of horizontal and vertical toothpicks, accounting for overlap, then further adjusted for the addition of two slanting rows of toothpicks.

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