
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 three non-negative real numbers  $a$ ,  $b$  and  $c$ . The sum of the modules of their pairwise differences is equal to  $1$ , i.e.  $|a- b| + |b -c| + |c -a| = 1$ . What can the sum  $a + b + c$  be equal to?

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