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### Consider the following program that uses binary search to check whether the input array contains a specific input value.

INSTRUCTIONS TO CANDIDATES

Consider the following program that uses binary search to check whether the input array contains a specific input value. (4*5=20 points)

public class BinarySearch {

public boolean contains(int[] a, int b) {

s1            if (a.length == 0) { //b1(true), b2(false) s2

return false;

}

s3            int low = 0;

s4            int high = a.length - 1;

 s5 s6 while (low <= high) { //b3(true), b4(false) int middle = (low + high) / 2; s7 if (b > a[middle]) { //b5(true), b6(false) s8 low = middle + 1; s9 } else if (b < a[middle]) { //b7(true), b8(false) s10 high = middle - 1; s11 } else { s12 return true; } } s13 return false; } }

1. Draw the control-flow graph of the program
2. Complete the following coverage matrix for both statement (marked on the left side of the code) and branch coverage (marked on the right side of the code) of the following four tests:
3. t1: a={1,2,3}, b=2
4. t2: a={1,2,3}, b=1

iii.    t3: a={1,2,3}, b=3

1. t4: a={1,2,3}, b=4

Statement coerage matrix

Branch coverage matrix

1. Please apply both the total and additional test prioritization (based on statement coverage) on your tests to decide their execution ordering. Please show the priority for each test in each
2. Please apply test-suite reduction (based on the branch coverage) on your tests to remove redundant tests. Please show your encoding of the problem in terms integer linear programming (ILP) constraints and objective formulas, and then manually solve the constraints and generate the reduced test
3. If s10 is changed during software evolution, mark the dangerous edge in the CFG that you drew in (a) and apply regression test selection (RTS) to select the set of affected
(5/5)

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