Assuming n is a power of 2, write down a recursivedivide-and-conquer algorithm f

Question

Assuming n is a power of 2, write down a recursivedivide-and-conquer algorithm for solving
the “simultaneous minimum and maximum”problem. Make sure you give enough details that,
based on your description, any competent programmer could easilyimplement it. If we let T(n) denotethe number of comparisons done by your algorithm,
write down the recurrence relation satisfied by T(n). Solve exactly (withoutusing the “big O” notation) the recurrence relation forT(n), by

(a) using the algebraic method described in class to“guess” what the solution is
     (repeatedly using the recurrence until apattern appears), and then

(b) proving the correctness of your answer by induction onn.
Assuming n is a power of 2, write down a recursivedivide-and-conquer algorithm for solving
the “simultaneous minimum and maximum”problem. Make sure you give enough details that,
based on your description, any competent programmer could easilyimplement it. If we let T(n) denotethe number of comparisons done by your algorithm,
write down the recurrence relation satisfied by T(n). Solve exactly (withoutusing the “big O” notation) the recurrence relation forT(n), by

(a) using the algebraic method described in class to“guess” what the solution is
     (repeatedly using the recurrence until apattern appears), and then

(b) proving the correctness of your answer by induction onn.

Explanation / Answer

Algorithm maxmin(A[], min, max); beginif (n == 1)min=max=A[1];else if (n == 2)if( A[1]

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