Question 9
The beavers devise an interesting way to encode I, T, O, C and L using 3×3 number grids. First they draw these letters on 3×3 grids as follows.
Editable pixel data: 1=shaded, 0=white; rows are listed top to bottom.
| Letter | Row 1 | Row 2 | Row 3 |
|---|---|---|---|
| I | 010 | 010 | 010 |
| T | 111 | 010 | 010 |
| O | 111 | 101 | 111 |
| C | 111 | 100 | 111 |
| L | 100 | 100 | 111 |
To encode each letter, they examine each unit cell of its picture and record the number of cells at the same position and with the same colour in the pictures of the other four letters. For example, I is encoded by the number grid on the left below.
Editable example (I):
| 0 | 3 | 1 |
|---|---|---|
| 1 | 1 | 3 |
| 1 | 4 | 1 |
Editable target:
| 3 | 3 | 2 |
|---|---|---|
| 2 | 2 | 0 |
| 2 | 4 | 2 |
Which letter produces the grid on the right?
Editable pixel data: 1=shaded, 0=white; rows are listed top to bottom.
| Letter | Row 1 | Row 2 | Row 3 |
|---|---|---|---|
| I | 010 | 010 | 010 |
| T | 111 | 010 | 010 |
| O | 111 | 101 | 111 |
| C | 111 | 100 | 111 |
| L | 100 | 100 | 111 |
To encode each letter, they examine each unit cell of its picture and record the number of cells at the same position and with the same colour in the pictures of the other four letters. For example, I is encoded by the number grid on the left below.
Editable example (I):
| 0 | 3 | 1 |
|---|---|---|
| 1 | 1 | 3 |
| 1 | 4 | 1 |
Editable target:
| 3 | 3 | 2 |
|---|---|---|
| 2 | 2 | 0 |
| 2 | 4 | 2 |
Which letter produces the grid on the right?