Zainab is standing facing a particular direction initially. Then she turns 90° clockwise, after that she turns $$180^{\circ}$$
anticlock-wise. Then she turns $$135^{\circ}$$ anticlock-wise. She finally turns $$180^{\circ}$$ clock·wise. Now she is facing the north-east direction. In which direction was Zainab facing initially before taking any turns?
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