
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
 $99$  identical balls lie on a table.  $50$  balls are made of copper, and  $49$  balls are made of zinc. The assistant numbered the balls. Once spectrometer test is applied to  $2$  balls and allows to determine whether they are made of the same metal or not. However, the results of the test can be obtained only the next day. What minimum number of tests is required to determine the material of each ball if all the tests should be performed today?

*Proposed by N. Vlasova, S. Berlov*

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