
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 block wall 120 feet long and 8 feet high will be constructed using blocks that are 1 foot high and either 2 feet long, 3 feet long, or 1 foot long. The vertical joins in the blocks must be staggered as before, and the wall must have even ends. What is the smallest number of blocks needed to build this wall?
A) 402 blocks
B) 404 blocks
C) 406 blocks
D) 408 blocks

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