
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
Toothpicks of equal length are used to construct a rectangular grid. If the grid is 25 toothpicks high and has 15 toothpicks in width, with every fifth horizontal line being reinforced with an additional toothpick and every third vertical line doubled, then calculate the total number of toothpicks used.

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