
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
A rectangular grid is constructed using toothpicks. The grid is $45$ toothpicks long and $25$ toothpicks wide. Additionally, diagonal supports are added using toothpicks along every $5$ vertical and horizontal lines (intersecting diagonals). How many toothpicks are used altogether?
A) $2350$
B) $2446$
C) $2550$
D) $2620$
E) $2700$

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