
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
Given 100 real numbers, with their sum equal to zero. What is the minimum number of pairs that can be selected from them such that the sum of the numbers in each pair is non-negative?

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