Evaluate \(\mathop \smallint \limits_c \frac{{{z^2}\;-\;z\;+\;1}}{{(2z\;-\;1)}{(z\;-\;2)}}dz\) where c is the circle |z| = 1.

1
-0.5πi
2
0.5πi 
3
2πi
4
-2πi

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