Record f52ca79631dd43d296c688d45b6196b7

Here is a short Python program.

```python
nums = [4, 7]
width = 7
base = 4
for entry in nums:
    width += entry
total = 6
total = total + width * 2
total = total + base * 2
total -= 4
total = total // 2
total = total + base * 2
total += 9
total += base
total += base
total = total * 2 - 2
total = total + width * 2
total -= 7
total = total + width * 2
total = total + base * 2
total += 4
total = total * 2 - 2
total = total * 2 - 8
nums.append(total)
nums.append(width)
nums.append(base)
```

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

To find the final value of `nums`, we will trace the program step-by-step.

**1. Initial Variables:**
* `nums = [4, 7]`
* `width = 7`
* `base = 4`

**2. The Loop:**
```python
for entry in nums:
    width += entry
```
* Iteration 1: `width = 7 + 4 = 11`
* Iteration 2: `width = 11 + 7 = 18`
* Final `width = 18`

**3. Calculating `total`:**
* `total = 6`
* `total = 6 + (18 * 2) = 6 + 36 = 42`
* `total = 42 + (4 * 2) = 42 + 8 = 50`
* `total = 50 - 4 = 46`
* `total = 46 // 2 = 23`
* `total = 23 + (4 * 2) = 23 + 8 = 31`
* `total = 31 + 9 = 40`
* `total = 40 + 4 = 44`
* `total = 44 + 4 = 48`
* `total = (48 * 2) - 2 = 96 - 2 = 94`
* `total = 94 + (18 * 2) = 94 + 36 = 130`
* `total = 130 - 7 = 123`
* `total = 123 + (18 * 2) = 123 + 36 = 159`
* `total = 159 + (4 * 2) = 159 + 8 = 167`
* `total = 167 + 4 = 171`
* `total = (171 * 2) - 2 = 342 - 2 = 340`
* `total = (340 * 2) - 8 = 680 - 8 = 672`

**4. Final Appends to `nums`:**
* `nums.append(total)` $\rightarrow$ `nums = [4, 7, 672]`
* `nums.append(width)` $\rightarrow$ `nums = [4, 7, 672, 18]`
* `nums.append(base)` $\rightarrow$ `nums = [4, 7, 672, 18, 4]`

ANSWER: [4, 7, 672, 18, 4]

(no reasoning captured)