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∣a−1∣+∣b−1∣=∣a∣+∣b∣=∣a+1∣+∣b+1∣\left| a-1 \right| +\left| b-1 \right| =\left| a \right| +\left| b \right| =\left| a+1 \right| +\left| b+1 \right| ∣a−1∣+∣b−1∣=∣a∣+∣b∣=∣a+1∣+∣b+1∣
Let aaa and bbb be distinct real numbers such that the above equation is satisfied.
Find the least possible value of ∣a−b∣\left| a-b \right| ∣a−b∣.
This problem is part of the set Hard Equations
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