Algorithm Execution Trace Analysis

This document presents a detailed step-by-step analysis of an algorithm's execution trace. It tracks the values of variables 'u' and 'i' through each iteration, along with the corresponding output based on whether a certain equation is satisfied. The trace includes the initial values of 'u' and 'i', the conditions for loop termination, and the output at each step. The analysis covers multiple iterations, showing how the variables change and how the output is determined based on the conditions.

U = 0
U = 7?
U = 0i = 0
i = 7?
10*u+i=52?
Output
Equation not satisfied
Output
Equation satisfied
Output
Equation satisfied
i=i+1
u = u+1
Exit
1
2
3
4
5
6
7
9
10
8
11
12

Step u U =7 ? i I = 7 ? Output
1 2 No 2 No Equation not
satisfy
2 2 No 3 No Equation not
satisfy
3 2 No 4 No Equation not
satisfy
4 2 No 5 No Equation not
satisfy
5 2 No 6 No Equation not
satisfy
6 2 No 7 Yes
7 3 No 2 No Equation not
satisfy
8 3 No 3 No Equation not
satisfy
9 3 No 4 No Equation not
satisfy
10 3 No 5 No Equation not
satisfy
11 3 No 6 No Equation not
satisfy
12 3 No 7 Yes
13 4 No 2 No Equation not
satisfy
14 4 No 3 No Equation not
satisfy
15 4 No 4 No Equation not
satisfy
16 4 No 5 No Equation not
satisfy
17 4 No 6 No Equation not
satisfy
18 4 No 7 Yes
19 5 No 2 No Equation
satisfy
20 5 No 3 No Equation not
satisfy
21 5 No 4 No Equation not
satisfy
22 5 No 5 No Equation not
satisfy
23 5 No 6 No Equation not
satisfy
24 5 No 7 Yes
25 6 No 2 No Equation not
satisfy

26 6 No 3 No Equation not
satisfy
27 6 No 4 No Equation not
satisfy
28 6 No 5 No Equation not
satisfy
29 6 No 6 No Equation not
satisfy
30 6 No 7 Yes
31 7 Yes