Record 606042051e12467b8ac0ab3ebbda5417

Here is a short Python program.

```python
queue = [0, 7]
extra = 6
spare = 7
queue.append(spare * 2)
extra = spare if spare > extra else extra + 6
spare -= 2
queue.append(extra)
extra = extra if extra < extra else extra + 2
extra = spare if spare > extra else extra + 3
peak = extra - 22
peak = peak // 6
peak = peak % 7
queue.append(peak)
extra = len(queue) // 4
extra = queue[0]
batch = [0, 3, 2, 9, 8]
cells = batch[1:len(batch) - 1]
queue.append(len(cells) + cells[-1])  # queue is now [0, 7, 14, 7, -1, 12]
marks = batch[:-2]
queue.append(len(marks) + marks[-1])  # queue is now [0, 7, 14, 7, -1, 12, 5]
extra = extra * 3
spare = spare if spare > spare else spare + 1
```

After this program runs, what is the value of `queue`? Work through it carefully, then give the final answer on its own last line as `ANSWER: <python literal>`.

To find the final value of `queue`, let's trace the program step-by-step:

1.  `queue = [0, 7]`
2.  `extra = 6`
3.  `spare = 7`
4.  `queue.append(spare * 2)` $\rightarrow$ `spare * 2` is $14$. `queue` is now `[0, 7, 14]`.
5.  `extra = spare if spare > extra else extra + 6` $\rightarrow$ `7 > 6` is True, so `extra = 7`.
6.  `spare -= 2` $\rightarrow$ `spare` is now $5$.
7.  `queue.append(extra)` $\rightarrow$ `extra` is $7$. `queue` is now `[0, 7, 14, 7]`.
8.  `extra = extra if extra < extra else extra + 2` $\rightarrow$ `7 < 7` is False, so `extra = 7 + 2 = 9`.
9.  `extra = spare if spare > extra else extra + 3` $\rightarrow$ `5 > 9` is False, so `extra = 9 + 3 = 12`.
10. `peak = extra - 22` $\rightarrow$ `12 - 22 = -10`.
11. `peak = peak // 6` $\rightarrow$ `-10 // 6` is `-2` (floor division of -1.66... is -2).
12. `peak = peak % 7` $\rightarrow$ `-2 % 7` is $5$ (In Python, the result of the modulo operator has the same sign as the divisor).
13. `queue.append(peak)` $\rightarrow$ `peak` is $5$. `queue` is now `[0, 7, 14, 7, 5]`.
14. `extra = len(queue) // 4` $\rightarrow$ `5 // 4 = 1`.
15. `extra = queue[0]` $\rightarrow$ `extra = 0`.
16. `batch = [0, 3, 2, 9, 8]`
17. `cells = batch[1:len(batch) - 1]` $\rightarrow$ `batch[1:4]` is `[3, 2, 9]`.
18. `queue.append(len(cells) + cells[-1])` $\rightarrow$ `len(cells)` is $3$, `cells[-1]` is $9$. $3 + 9 = 12$. `queue` is now `[0, 7, 14, 7, 5, 12]`.
19. `marks = batch[:-2]` $\rightarrow$ `batch[0:3]` is `[0, 3, 2]`.
20. `queue.append(len(marks) + marks[-1])` $\rightarrow$ `len(marks)` is $3$, `marks[-1]` is $2$. $3 + 2 = 5$. `queue` is now `[0, 7, 14, 7, 5, 12, 5]`.
21. `extra = extra * 3` $\rightarrow$ `0 * 3 = 0`.
22. `spare = spare if spare > spare else spare + 1` $\rightarrow$ `5 > 5` is False, so `spare = 5 + 1 = 6`.

Final `queue` state: `[0, 7, 14, 7, 5, 12, 5]`

ANSWER: [0, 7, 14, 7, 5, 12, 5]

(no reasoning captured)