
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 black bag labeled from 1 to 100, there are some identical balls. If each query allows asking about the parity (odd or even) of the total number of balls in any 15 bags, then what is the minimum number of queries needed to determine the parity of the number of balls in bag number 1?

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