Use the Inverse Fast Fourier Transform to reassemble the sampled function data corresponding to the following discrete Fourier coefficients. Carefully indicate each step in your analysis.
(a) $c_0=c_2=1, c_1=c_3=-1$,
(b) $c_0=c_1=c_4=2, c_2=c_6=0, c_3=c_5=c_7=-1$.