Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 18°C. We apply continuously 102°C heat to the field 1x0
What is the temperature (rounded to whole numbers) in the field 2x2 after 43 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
| 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 |
Field after 4 iterations (rounded after 4th iteration)
| 41 | 139 | 50 | 22 | 12 | 8 | 7 | 6 | 4 | 2 |
| 29 | 59 | 41 | 26 | 18 | 14 | 12 | 10 | 7 | 4 |
| 17 | 31 | 29 | 23 | 19 | 17 | 15 | 13 | 9 | 5 |
| 11 | 20 | 22 | 21 | 19 | 18 | 16 | 14 | 11 | 5 |
| 8 | 15 | 18 | 18 | 18 | 18 | 17 | 15 | 11 | 6 |
| 7 | 12 | 16 | 17 | 18 | 18 | 17 | 15 | 11 | 6 |
| 6 | 11 | 14 | 16 | 17 | 17 | 17 | 15 | 11 | 6 |
| 6 | 10 | 12 | 14 | 15 | 15 | 15 | 13 | 10 | 5 |
| 4 | 7 | 9 | 10 | 11 | 11 | 11 | 10 | 7 | 3 |
| 2 | 4 | 5 | 5 | 6 | 6 | 6 | 5 | 3 | 2 |
Temperature in field 2x2 after 43 iterations:
