Complete the trace table for the algorithm shown in Figure 9 - AQA - GCSE Computer Science - Question 10 - 2023 - Paper 1

To complete the trace table, we will analyze how the algorithm iterates through the names and scores, updating the count, i, person, j, and result columns accordingly.

1. The algorithm initializes count to 0.

2. For i = 0, person is 'Natalie'.

   • When j = 0:
     • Calculate result: scores[0 * 3 + 0] which gives 78.
     • Increment count to 1.
   • When j = 1:
     • Calculate result: scores[0 * 3 + 1] which gives 81.
     • Increment count to 1.

3. For i = 1, person is 'Alex'.

   • When j = 0:
     • Calculate result: scores[1 * 3 + 0] which gives 27.
     • Increment count to 2.
   • When j = 1:
     • Calculate result: scores[1 * 3 + 1] which gives 51.
     • Increment count to 2.

4. For i = 2, person is 'Roshana'.

   • When j = 0:
     • Calculate result: scores[2 * 3 + 0] which gives 55.
     • Increment count to 3.
   • When j = 1:
     • Calculate result: scores[2 * 3 + 1] which gives 55.

The trace table would look like the following:

count	i	person	j	result
0	0	Natalie	0	78
1	0	Natalie	1	81
1	1	Alex	0	27
2	1	Alex	1	51
2	2	Roshana	0	55
3	2	Roshana	1	55