Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 15°C. We apply continuously 190°C heat to the field 9x9
What is the temperature (rounded to whole numbers) in the field 3x3 after 96 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
Field after 4 iterations (rounded after 4th iteration)
| 2 | 4 | 4 | 5 | 5 | 5 | 5 | 5 | 3 | 2 |
| 4 | 6 | 7 | 8 | 9 | 9 | 9 | 8 | 6 | 3 |
| 4 | 7 | 9 | 11 | 11 | 11 | 11 | 10 | 8 | 4 |
| 5 | 8 | 11 | 12 | 13 | 13 | 13 | 11 | 9 | 4 |
| 5 | 9 | 11 | 13 | 13 | 14 | 13 | 12 | 9 | 5 |
| 5 | 9 | 11 | 13 | 14 | 14 | 14 | 12 | 9 | 6 |
| 5 | 9 | 11 | 13 | 13 | 14 | 14 | 12 | 12 | 10 |
| 5 | 8 | 10 | 11 | 12 | 12 | 12 | 15 | 23 | 26 |
| 3 | 6 | 8 | 9 | 9 | 9 | 12 | 23 | 48 | 75 |
| 2 | 3 | 4 | 4 | 5 | 6 | 10 | 26 | 75 | 228 |
Temperature in field 3x3 after 96 iterations:
