
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
Elsa uses ice blocks to make ice sculptures. One ice block can make a small sculpture, and three ice blocks can make a large sculpture. The leftover fragments from making 2 small sculptures or 1 large sculpture can perfectly form 1 new ice block. Given 30 ice blocks, and ensuring that the number of small sculptures made is greater than the number of large sculptures made, what is the maximum number of large sculptures that can be made?

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