
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 pyramid is constructed using twenty cubical blocks: the first layer has 10 blocks arranged in a square, the second layer contains 6 blocks arranged in a larger square centered on the 10, the third layer has 3 blocks arranged in a triangle, and finally one block sits on top of the third layer. Each block in layers 2, 3, and 4 has a number assigned which is the sum of the blocks directly below it from the previous layer. If the blocks in the first layer are numbered consecutively from 1 to 10 in any order, what is the smallest possible number that could be assigned to the top block?
A) 45
B) 54
C) 63
D) 72
E) 81

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