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(10 pts) Design an algorithm how to multiply two complex numbers a + bi and c + di using only three multiplications of real numbers.

(10 pts) Design an algorithm how to multiply two complex numbers a + bi and c + di using only three multiplications of real numbers. Your algorithm should take a, b, c, and d as input and produce the real component a*c b*d and the imaginary component a*d + b*c separately.

MULTIPLY-COMPLEX-NUMBER(a, b, c, d)

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