
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  $n$  numbers different from  $0$ , ( $n \in \mathbb{N}$ ) which are arranged randomly. We do the following operation: Choose some consecutive numbers in the given order and change their sign (i.e.  $x \rightarrow -x$ ). What is the minimum number of operations needed, in order to make all the numbers positive for any given initial configuration of the  $n$  numbers?

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