
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 of blocks is arranged in a pentagonal pattern with 15 blocks in the base layer, 10 blocks in the second layer, 6 blocks in the third layer, and 1 block in the topmost layer. If each block's number is the sum of the numbers of the three blocks directly below it, determine 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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