Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 24°C. We apply continuously 88°C heat to the field 1x9
What is the temperature (rounded to whole numbers) in the field 9x2 after 108 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
| 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
| 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
| 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
| 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
| 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
| 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
| 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
| 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
| 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 |
Field after 4 iterations (rounded after 4th iteration)
| 3 | 6 | 7 | 8 | 8 | 8 | 8 | 7 | 5 | 3 |
| 6 | 10 | 12 | 13 | 14 | 14 | 14 | 13 | 9 | 5 |
| 7 | 12 | 15 | 17 | 18 | 18 | 18 | 16 | 12 | 6 |
| 8 | 13 | 17 | 19 | 20 | 21 | 20 | 18 | 14 | 7 |
| 8 | 14 | 18 | 20 | 21 | 22 | 22 | 19 | 15 | 8 |
| 8 | 15 | 19 | 21 | 22 | 23 | 22 | 20 | 15 | 8 |
| 9 | 17 | 21 | 22 | 23 | 23 | 22 | 20 | 15 | 8 |
| 14 | 27 | 27 | 24 | 22 | 21 | 20 | 17 | 13 | 6 |
| 25 | 52 | 37 | 26 | 20 | 17 | 15 | 13 | 9 | 5 |
| 36 | 121 | 45 | 21 | 13 | 10 | 8 | 7 | 5 | 2 |
Temperature in field 9x2 after 108 iterations:
