
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
In a modified pyramid structure, there are 15 cubical blocks arranged initially. The pyramid consists of four layers similar to the original but with different distributions due to the increased number of blocks in the base layer:
- Layer 1 (Base layer) has 10 blocks.
- Layer 2 has 4 blocks.
- Layer 3 has 2 blocks.
- Layer 4 (Top block) has 1 block.
Find the smallest possible number that could be assigned to the top block if the blocks in the base layer are numbered 1 through 10 in any order. Each block in layers 2, 3 and 4 is assigned the number which is the sum of numbers assigned to the blocks on which it rests.
A) 55
B) 63
C) 78
D) 83

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