find the final value of z after executing the following code fragment:
z = 0
for (x = -1 to 1 step 1)
for (y = x+1 to 5 step 2)
z = z + y;
Explanation
To find the value of z, we need to iterate through the nested loops systematically and update the value of z at each step.
1. Iteration Analysis:
When x=−1:
Inner loop starts: y=x+1=0.
Values of y: 0,2,4 (up to 5 with a step of 2).
Updates to z:
z=0+0+2+4=6
When x=0:
Inner loop starts: y=x+1=1.
Values of y: 1,3,5 (up to 5 with a step of 2).
Updates to z:
z=6+(1+3+5)=6+9=15
When x=1:
2. Final Calculation:
After completing all iterations of the outer loop (x=−1,0,1), the final value of z is:
z=21
Conclusion:
The final value of z is 21. The correct option is (b).