Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 8°C. We apply continuously 174°C heat to the field 9x6
What is the temperature (rounded to whole numbers) in the field 6x4 after 99 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 2 | 2 | 3 | 3 | 3 | 3 | 2 | 2 | 1 |
| 2 | 3 | 4 | 4 | 5 | 5 | 5 | 4 | 3 | 2 |
| 2 | 4 | 5 | 6 | 6 | 6 | 6 | 5 | 4 | 3 |
| 3 | 4 | 6 | 6 | 7 | 7 | 7 | 6 | 7 | 8 |
| 3 | 5 | 6 | 7 | 7 | 7 | 7 | 11 | 20 | 25 |
| 3 | 5 | 6 | 7 | 7 | 7 | 10 | 22 | 49 | 76 |
| 3 | 5 | 6 | 7 | 7 | 8 | 14 | 36 | 91 | 235 |
| 2 | 4 | 5 | 6 | 6 | 7 | 13 | 28 | 55 | 79 |
| 2 | 3 | 4 | 5 | 5 | 6 | 9 | 17 | 27 | 29 |
| 1 | 2 | 2 | 2 | 3 | 3 | 5 | 8 | 11 | 10 |
Temperature in field 6x4 after 99 iterations:
