Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 11°C. We apply continuously 105°C heat to the field 5x9
What is the temperature (rounded to whole numbers) in the field 1x2 after 36 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
| 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
| 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
| 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
| 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
| 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
| 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
| 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
| 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
| 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
Field after 4 iterations (rounded after 4th iteration)
| 2 | 3 | 3 | 4 | 4 | 4 | 4 | 3 | 2 | 1 |
| 3 | 4 | 5 | 6 | 6 | 7 | 6 | 6 | 4 | 2 |
| 3 | 5 | 7 | 8 | 8 | 8 | 8 | 7 | 6 | 3 |
| 4 | 6 | 8 | 9 | 9 | 9 | 9 | 8 | 6 | 3 |
| 4 | 6 | 8 | 9 | 10 | 10 | 10 | 9 | 7 | 4 |
| 4 | 7 | 8 | 9 | 10 | 11 | 11 | 9 | 7 | 4 |
| 4 | 6 | 8 | 9 | 12 | 14 | 14 | 11 | 8 | 4 |
| 3 | 6 | 7 | 11 | 18 | 27 | 22 | 15 | 10 | 4 |
| 2 | 4 | 7 | 15 | 33 | 59 | 37 | 20 | 11 | 5 |
| 1 | 3 | 6 | 17 | 48 | 144 | 50 | 20 | 8 | 3 |
Temperature in field 1x2 after 36 iterations:
