
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
Construct a block wall 120 feet long and 10 feet high using blocks that are 1 foot high and either 3 feet long or 2 feet long (no blocks may be cut). The vertical joins in the blocks must be staggered and must not meet above or below across more than two consecutive rows at the same point, with the wall even on the ends. What is the smallest number of blocks needed to build this wall?
A) 462
B) 465
C) 466
D) 469
E) 472

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