Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 12°C. We apply continuously 180°C heat to the field 9x9
What is the temperature (rounded to whole numbers) in the field 9x1 after 108 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
Field after 4 iterations (rounded after 4th iteration)
| 2 | 3 | 3 | 4 | 4 | 4 | 4 | 4 | 3 | 1 |
| 3 | 5 | 6 | 7 | 7 | 7 | 7 | 6 | 5 | 2 |
| 3 | 6 | 8 | 8 | 9 | 9 | 9 | 8 | 6 | 3 |
| 4 | 7 | 8 | 9 | 10 | 10 | 10 | 9 | 7 | 4 |
| 4 | 7 | 9 | 10 | 11 | 11 | 11 | 10 | 7 | 4 |
| 4 | 7 | 9 | 10 | 11 | 11 | 11 | 10 | 8 | 5 |
| 4 | 7 | 9 | 10 | 11 | 11 | 11 | 10 | 10 | 9 |
| 4 | 6 | 8 | 9 | 10 | 10 | 10 | 13 | 21 | 24 |
| 3 | 5 | 6 | 7 | 7 | 8 | 10 | 21 | 44 | 71 |
| 1 | 2 | 3 | 4 | 4 | 5 | 9 | 24 | 71 | 215 |
Temperature in field 9x1 after 108 iterations:
