One less = The number = One more?Algebra Level 4
\(\left| a-1 \right| +\left| b-1 \right| =\left| a \right| +\left| b \right| =\left| a+1 \right| +\left| b+1 \right| \)
Let \(a\) and \(b\) be distinct real numbers such that the above equation is satisfied.
Find the least possible value of \(\left| a-b \right| \).
This problem is part of the set Hard Equations