Question

Run-length encoding (RLE) is a data compression technique that replaces "runs" (sequences of bits with the same value) with a number representing the length of the run.
This is an RLE encoding for an 8x8 black & white icon:
8
1,2,2,2,1
1,2,2,2,1
8
8
2,4,2
1,1,4,1,1
8
In this RLE scheme, the numbers represent alternating runs of black and white pixels and the first number in each line represents a run of white pixels.
What does this icon look like?
Choose 1 answer:
Choose 1 answer:
(Choice A) : A smiling face
A
: A smiling face
(Choice B) : A frowning face
B
: A frowning face
(Choice C) : A surprised face
C
: A surprised face
(Choice D) : A neutral face
D
: A neutral face

Answer 1

To decode the run-length encoding (RLE) for the 8x8 black & white icon, we will translate the runs into a 2D matrix of pixels (0 for white and 1 for black).

### Given RLE:
```
8 -> Row 0
1,2,2,2,1 -> Row 1
1,2,2,2,1 -> Row 2
8 -> Row 3
8 -> Row 4
2,4,2 -> Row 5
1,1,4,1,1 -> Row 6
8 -> Row 7
```

### Decoding Row by Row:
1. **Row 0**: 8 (all white pixels)
- `0 0 0 0 0 0 0 0`

2. **Row 1**: 1,2,2,2,1 (white-1, black-2, black-2, black-2, white-1)
- `0 1 1 1 0 0 0 0`

3. **Row 2**: 1,2,2,2,1 (same as Row 1)
- `0 1 1 1 0 0 0 0`

4. **Row 3**: 8 (all black pixels)
- `1 1 1 1 1 1 1 1`

5. **Row 4**: 8 (all black pixels)
- `1 1 1 1 1 1 1 1`

6. **Row 5**: 2,4,2 (white-2, black-4, white-2)
- `0 0 1 1 1 1 0 0`

7. **Row 6**: 1,1,4,1,1 (white-1, black-1, black-4, black-1, white-1)
- `0 1 0 1 1 1 1 0`

8. **Row 7**: 8 (all white pixels)
- `0 0 0 0 0 0 0 0`

### Resulting 8x8 Icon Pixel Matrix:
```
0 0 0 0 0 0 0 0
0 1 1 1 0 0 0 0
0 1 1 1 0 0 0 0
1 1 1 1 1 1 1 1
1 1 1 1 1 1 1 1
0 0 1 1 1 1 0 0
0 1 0 1 1 1 1 0
0 0 0 0 0 0 0 0
```

### Interpreting the Icon:
- The top section (Row 1 and Row 2) appears to form eyes.
- The middle sections (Row 3 and Row 4) are filled in but can be interpreted as a face outline.
- The last couple of rows show mouth-like features.

### Conclusion:
In terms of facial expression and shape, the icon represents a neutral face.

Thus, the correct answer is **(Choice D): A neutral face**.