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Section 5.3 Worked Example: For Loops - Counter

Subgoals for Evaluating a Loop.

  1. Diagram which statements go together.

  2. Define and initialize variables

    1. Determine the start condition.

    2. Determine the update condition.

    3. Determine the termination condition.

    4. Determine body that is repeated.

  3. Trace the loop.

    1. For every iteration of the loop, write down the values.

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Problem: Given the following code, what is the output?

total = 0;
for (int x = 5; x < 50; x++)
{
  if (x % 5 == 0)
     total += x;
}
System.out.println(total);

Subsection 5.3.1 SG1: Diagram which statements go together.

Figure 5.3.1.

Subsection 5.3.2 SG2: Define and initialize variables

Start:

x = 0
total = 0

End:

x >= 50
Figure 5.3.2.

Subsection 5.3.3 SG3: Trace the loop

Figure 5.3.3.
Figure 5.3.4.

X increments by 1 But only when it is evenly divisible by 5 is the value added to total

Figure 5.3.5.
Figure 5.3.6.

Output is 225

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