
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
Cheburashka has a set of 36 stones with masses of 1 g, 2 g, ..., 36 g, and Shapoklyak has superglue. By using one drop of glue, she can combine two stones into one (e.g., she can combine three stones using two drops and so on). Shapoklyak wants to glue the stones in such a way that Cheburashka cannot choose one or more stones from the resulting set with a total mass of exactly 37 g. What is the minimum number of drops of glue she needs to achieve her goal?

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