Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 9°C. We apply continuously 140°C heat to the field 1x9
What is the temperature (rounded to whole numbers) in the field 2x9 after 117 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 2 | 3 | 3 | 3 | 3 | 3 | 3 | 2 | 1 |
| 2 | 4 | 4 | 5 | 5 | 5 | 5 | 5 | 4 | 2 |
| 3 | 4 | 6 | 6 | 7 | 7 | 7 | 6 | 5 | 2 |
| 3 | 5 | 6 | 7 | 8 | 8 | 8 | 7 | 5 | 3 |
| 3 | 5 | 7 | 8 | 8 | 8 | 8 | 7 | 5 | 3 |
| 3 | 6 | 8 | 8 | 9 | 9 | 8 | 7 | 6 | 3 |
| 5 | 11 | 12 | 11 | 10 | 9 | 9 | 7 | 6 | 3 |
| 14 | 28 | 24 | 17 | 12 | 10 | 8 | 7 | 5 | 2 |
| 33 | 71 | 45 | 24 | 14 | 9 | 7 | 5 | 4 | 2 |
| 54 | 187 | 64 | 25 | 11 | 6 | 4 | 3 | 2 | 1 |
Temperature in field 2x9 after 117 iterations:
