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 78°C heat to the field 2x0
What is the temperature (rounded to whole numbers) in the field 6x4 after 111 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)
| 10 | 35 | 106 | 37 | 15 | 7 | 4 | 3 | 2 | 1 |
| 10 | 26 | 45 | 29 | 17 | 10 | 7 | 5 | 4 | 2 |
| 7 | 16 | 23 | 20 | 14 | 11 | 8 | 6 | 5 | 2 |
| 5 | 10 | 14 | 14 | 12 | 10 | 8 | 7 | 5 | 3 |
| 4 | 7 | 10 | 10 | 10 | 9 | 8 | 7 | 5 | 3 |
| 3 | 6 | 8 | 9 | 9 | 8 | 8 | 7 | 5 | 3 |
| 3 | 5 | 7 | 7 | 8 | 8 | 8 | 7 | 5 | 3 |
| 2 | 4 | 6 | 6 | 7 | 7 | 7 | 6 | 4 | 2 |
| 2 | 3 | 4 | 5 | 5 | 5 | 5 | 4 | 3 | 2 |
| 1 | 2 | 2 | 2 | 3 | 3 | 3 | 2 | 2 | 1 |
Temperature in field 6x4 after 111 iterations:
