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 69°C heat to the field 9x7
What is the temperature (rounded to whole numbers) in the field 3x4 after 108 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 | 7 | 5 |
| 3 | 5 | 7 | 8 | 8 | 8 | 8 | 9 | 12 | 12 |
| 3 | 5 | 7 | 8 | 8 | 8 | 9 | 14 | 23 | 32 |
| 3 | 5 | 6 | 7 | 7 | 8 | 10 | 18 | 39 | 94 |
| 2 | 4 | 5 | 5 | 5 | 6 | 8 | 13 | 23 | 32 |
| 1 | 2 | 2 | 3 | 3 | 3 | 4 | 7 | 10 | 10 |
Temperature in field 3x4 after 108 iterations:
