Algorithm Analysis and Output Tracing

This document presents a detailed trace of an algorithm's execution, showing the changes in variables 'u' and 'i' over multiple steps. The output indicates whether a certain equation is satisfied at each step based on the values of 'u' and 'i'. The trace includes a step-by-step breakdown of the algorithm's logic, demonstrating how the variables are updated and how the conditional statements affect the output. The algorithm appears to involve nested loops or conditional checks, with the 'Equation satisfied' or 'Equation not satisfied' output depending on the current values of 'u' and 'i'.

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

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