Inverse discrete Fourier transform of Y(k) = {1, 0, 1, 0} is

1
y(n) = {0, 0.5, 0, 0.5}
2
y(n) = {0.5, 0, 0.5, 0}
3
y(n) = {0.5, 0.5, 0, 0}
4
y(n) = {0, 0, 0.5, 0.5}

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