The document describes an algorithm to find the maximum value in an array. It initializes a current index and maximum value, then iterates through the array comparing each element to the maximum. Whenever a larger value is found, it updates the maximum. After iterating through the entire array, it outputs the final maximum value.

1. Find the Maximum Algorithm
currentIndex: 0
maxValue: -1
start with -1 as maximum
5 3 1 2 9 8 7 3 9
0 1 2 3 4 5 6 7 8

2. Find the Maximum Algorithm
currentIndex: 0
maxValue: -1
5 3 1 2 9 8 7 3 9
0 1 2 3 4 5 6 7 8

3. Find the Maximum Algorithm
5 3 1 2 9 8 7 3 9
0 1 2 3 4 5 6 7 8
currentIndex: 0
maxValue: -1
found a new maximum!

4. Find the Maximum Algorithm
currentIndex: 0
maxValue: 5
found a new maximum!
5 3 1 2 9 8 7 3 9
0 1 2 3 4 5 6 7 8

5. Find the Maximum Algorithm
currentIndex: 1
maxValue: 5
5 3 1 2 9 8 7 3 9
0 1 2 3 4 5 6 7 8

6. Find the Maximum Algorithm
currentIndex: 2
maxValue: 5
5 3 1 2 9 8 7 3 9
0 1 2 3 4 5 6 7 8

7. Find the Maximum Algorithm
currentIndex: 3
maxValue: 5
5 3 1 2 9 8 7 3 9
0 1 2 3 4 5 6 7 8

8. Find the Maximum Algorithm
currentIndex: 4
maxValue: 5
5 3 1 2 9 8 7 3 9
0 1 2 3 4 5 6 7 8
found a new maximum!

9. Find the Maximum Algorithm
currentIndex: 4
maxValue: 9
5 3 1 2 9 8 7 3 9
0 1 2 3 4 5 6 7 8
found a new maximum!

10. Find the Maximum Algorithm
currentIndex: 5
maxValue: 9
5 3 1 2 9 8 7 3 9
0 1 2 3 4 5 6 7 8

11. Find the Maximum Algorithm
currentIndex: 6
maxValue: 9
5 3 1 2 9 8 7 3 9
0 1 2 3 4 5 6 7 8

12. Find the Maximum Algorithm
currentIndex: 7
maxValue: 9
5 3 1 2 9 8 7 3 9
0 1 2 3 4 5 6 7 8

13. Find the Maximum Algorithm
currentIndex: 8
maxValue: 9
5 3 1 2 9 8 7 3 9
0 1 2 3 4 5 6 7 8

14. Find the Maximum Algorithm
currentIndex: 8
maxValue: 9
Finished: output is 9
5 3 1 2 9 8 7 3 9
0 1 2 3 4 5 6 7 8