Answer :
Let's break down the program step-by-step to determine the exact output.
1. We start with the initial list:
[tex]\[ x = [22, 15, 16, 15, 22, 19, 15, 16] \][/tex]
2. We initialize the counter:
[tex]\[ i = 0 \][/tex]
3. Enter the `while` loop, which will run as long as [tex]\( i < \text{len}(x) \)[/tex]:
- Current state of the list: [tex]\([22, 15, 16, 15, 22, 19, 15, 16]\)[/tex]
- [tex]\( x[i] = x[0] = 22 \)[/tex]
- The count of `22` in the list is 2, so it will be removed. The list now becomes:
[tex]\[ [15, 16, 15, 22, 19, 15, 16] \][/tex]
- Print: [tex]\([15, 16, 15, 22, 19, 15, 16]\)[/tex]
- Increment [tex]\( i \)[/tex] by 1: [tex]\( i = 1 \)[/tex]
4. Next iteration of the loop:
- Current state of the list: [tex]\([15, 16, 15, 22, 19, 15, 16]\)[/tex]
- [tex]\( x[i] = x[1] = 16 \)[/tex]
- The count of `16` in the list is 2, so it will be removed. The list now becomes:
[tex]\[ [15, 15, 22, 19, 15, 16] \][/tex]
- Print: [tex]\([15, 15, 22, 19, 15, 16]\)[/tex]
- Increment [tex]\( i \)[/tex] by 1: [tex]\( i = 2 \)[/tex]
5. Next iteration of the loop:
- Current state of the list: [tex]\([15, 15, 22, 19, 15, 16]\)[/tex]
- [tex]\( x[i] = x[2] = 22 \)[/tex]
- The count of `22` in the list is 1, so it will not be removed.
- Print: [tex]\([15, 15, 22, 19, 15, 16]\)[/tex]
- Increment [tex]\( i \)[/tex] by 1: [tex]\( i = 3 \)[/tex]
6. Next iteration of the loop:
- Current state of the list: [tex]\([15, 15, 22, 19, 15, 16]\)[/tex]
- [tex]\( x[i] = x[3] = 19 \)[/tex]
- The count of `19` in the list is 1, so it will not be removed.
- Print: [tex]\([15, 15, 22, 19, 15, 16]\)[/tex]
- Increment [tex]\( i \)[/tex] by 1: [tex]\( i = 4 \)[/tex]
7. Next iteration of the loop:
- Current state of the list: [tex]\([15, 15, 22, 19, 15, 16]\)[/tex]
- [tex]\( x[i] = x[4] = 15 \)[/tex]
- The count of `15` in the list is 3, so it will be removed. The list now becomes:
[tex]\[ [15, 22, 19, 15, 16] \][/tex]
- Print: [tex]\([15, 22, 19, 15, 16]\)[/tex]
- Increment [tex]\( i \)[/tex] by 1: [tex]\( i = 5 \)[/tex]
8. Next iteration of the loop:
- Current state of the list: [tex]\([15, 22, 19, 15, 16]\)[/tex]
- [tex]\( x[i] = x[5] = 16 \)[/tex]
- The count of `16` in the list is 1, so it will not be removed.
- Print: [tex]\([15, 22, 19, 15, 16]\)[/tex]
- Increment [tex]\( i \)[/tex] by 1: [tex]\( i = 6 \)[/tex]
After all these steps, the loop finishes, as [tex]\( i \)[/tex] becomes equal to the length of the list [tex]\( x \)[/tex].
The final list is:
[tex]\[ [15, 22, 19, 15, 16] \][/tex]
Thus, the exact output of the program is:
[tex]\[ [15, 22, 19, 15, 16] \][/tex]
1. We start with the initial list:
[tex]\[ x = [22, 15, 16, 15, 22, 19, 15, 16] \][/tex]
2. We initialize the counter:
[tex]\[ i = 0 \][/tex]
3. Enter the `while` loop, which will run as long as [tex]\( i < \text{len}(x) \)[/tex]:
- Current state of the list: [tex]\([22, 15, 16, 15, 22, 19, 15, 16]\)[/tex]
- [tex]\( x[i] = x[0] = 22 \)[/tex]
- The count of `22` in the list is 2, so it will be removed. The list now becomes:
[tex]\[ [15, 16, 15, 22, 19, 15, 16] \][/tex]
- Print: [tex]\([15, 16, 15, 22, 19, 15, 16]\)[/tex]
- Increment [tex]\( i \)[/tex] by 1: [tex]\( i = 1 \)[/tex]
4. Next iteration of the loop:
- Current state of the list: [tex]\([15, 16, 15, 22, 19, 15, 16]\)[/tex]
- [tex]\( x[i] = x[1] = 16 \)[/tex]
- The count of `16` in the list is 2, so it will be removed. The list now becomes:
[tex]\[ [15, 15, 22, 19, 15, 16] \][/tex]
- Print: [tex]\([15, 15, 22, 19, 15, 16]\)[/tex]
- Increment [tex]\( i \)[/tex] by 1: [tex]\( i = 2 \)[/tex]
5. Next iteration of the loop:
- Current state of the list: [tex]\([15, 15, 22, 19, 15, 16]\)[/tex]
- [tex]\( x[i] = x[2] = 22 \)[/tex]
- The count of `22` in the list is 1, so it will not be removed.
- Print: [tex]\([15, 15, 22, 19, 15, 16]\)[/tex]
- Increment [tex]\( i \)[/tex] by 1: [tex]\( i = 3 \)[/tex]
6. Next iteration of the loop:
- Current state of the list: [tex]\([15, 15, 22, 19, 15, 16]\)[/tex]
- [tex]\( x[i] = x[3] = 19 \)[/tex]
- The count of `19` in the list is 1, so it will not be removed.
- Print: [tex]\([15, 15, 22, 19, 15, 16]\)[/tex]
- Increment [tex]\( i \)[/tex] by 1: [tex]\( i = 4 \)[/tex]
7. Next iteration of the loop:
- Current state of the list: [tex]\([15, 15, 22, 19, 15, 16]\)[/tex]
- [tex]\( x[i] = x[4] = 15 \)[/tex]
- The count of `15` in the list is 3, so it will be removed. The list now becomes:
[tex]\[ [15, 22, 19, 15, 16] \][/tex]
- Print: [tex]\([15, 22, 19, 15, 16]\)[/tex]
- Increment [tex]\( i \)[/tex] by 1: [tex]\( i = 5 \)[/tex]
8. Next iteration of the loop:
- Current state of the list: [tex]\([15, 22, 19, 15, 16]\)[/tex]
- [tex]\( x[i] = x[5] = 16 \)[/tex]
- The count of `16` in the list is 1, so it will not be removed.
- Print: [tex]\([15, 22, 19, 15, 16]\)[/tex]
- Increment [tex]\( i \)[/tex] by 1: [tex]\( i = 6 \)[/tex]
After all these steps, the loop finishes, as [tex]\( i \)[/tex] becomes equal to the length of the list [tex]\( x \)[/tex].
The final list is:
[tex]\[ [15, 22, 19, 15, 16] \][/tex]
Thus, the exact output of the program is:
[tex]\[ [15, 22, 19, 15, 16] \][/tex]