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Q. What do you mean by Perfect Shuffle Permutation?
Perfect Shuffle Permutation: It was proposed by Harold Stone (1971). Consider N objects each is represented by n bit number for example Xn-1, Xn-2, X0 (N is selected such that N = 2n.) The perfect shuffle of these N objects is uttered as
Xn-1, Xn-2, X0 = Xn-2, X0 Xn-1
It means perfect shuffle is attained by rotating the address by 1 bit left. For example shuffle of 8 objects is displayed as in figure below
Figure: Shuffle of 8 objects
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If the product of two integers a and b is even after that prove that either a is even or b is even. Answer: It is illustrated that product of a and b is even so let a * b = 2n.
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