
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 collection consists of 120 distinct blocks. Each block is made of one of 3 materials (plastic, wood, metal), comes in 3 sizes (small, medium, large), and is painted in one of 4 colors (blue, green, red, yellow), and molded in one of 4 shapes (circle, hexagon, square, triangle). How many blocks in the collection differ from the 'wood large blue hexagon' in exactly two ways?

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