
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 formed using 30 cubical blocks arranged in layers. The bottom layer consists of 16 blocks in a square pattern, the next layer above consists of 9 blocks, also arranged in a square, the layer above that consists of 4 blocks, and finally, one block sits at the top. Each block above the bottom layer is assigned a number which is the sum of the numbers assigned to the four blocks immediately below it. Find the smallest possible number that could be assigned to the top block.

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