Consider a negative unity feedback system with forward path transfer function \(G\left( s \right) = \frac{K}{{\left( {s + a} \right)\left( {s - b} \right)\left( {s + c} \right)}}\), where K, a, b, c are positive real numbers. For a Nyquist path enclosing the entire imaginary axis and right half of the s-plane is the clockwise direction, the Nyquist plot of (1 + G(s)), encircles the origin (1 + G(s)) –plane once in the clockwise direction and never passes through this origin for a certain value of K. then, the number of poles of \(\frac{{G\left( s \right)}}{{1 + G\left( s \right)}}\) lying in the open right half of the s-plane is ______.

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