Q5 a) Flow-graph: Generate the three-address code and draw the flow graph by using basic blocks algorithm. void sort (int A[], int n)}{ for (int i=0;i A[i]){ tmp = A[i); A[i] = A[j]; A[j] = tmp; } b) Peephole optimization: Write a pass of peephole optimization (algorithm) to eliminate (1) jumps to useless goto statements, (ii) redundant loads / stores.

euclids algorithm tracing

java

4) Recursive Analysis Homework • Unanswered The following algorithm takes an unsorted list of positive integers, along with two integers a and y. It returns the largest number, z, in the list such that either 2* = y or z9 = x is true. It returns 0 if no such z exists. The algorithm assumes that the list size, n, is a power of 2 with n > 1. 1 : integer xyMax(x, y, {a0,a1, ..., an-1}) 2 : if n == 1 3 : if (að у) or (až x) 4 return ao 5 : else 6 : return 0 7 : 8 : # process the left half 9 : 10 : m1 = xyMax(x,y,{a0,..., a4 J-1}) 11 : 12 : # process the right half 13 : m2 = xyMax(x,y,{a ;,.., an-1}) 14 : 15 : 16 : # find the largest 17 : 18 : max %3D тi 19 : if (m2 > max) 20 : 21 : 22 : max %3D тg return max 23 : end xyMax What is the recurrence relation that counts the number of comparisons for this algorithm? (The critical steps are at lines 2, 3, and 19.) What is a good big-O reference function for algorithm xyMax? (Hint: Which Master Theorem applies here?)