Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 25°C. We apply continuously 172°C heat to the field 9x5
What is the temperature (rounded to whole numbers) in the field 4x2 after 48 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
| 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 | 25 |
Field after 4 iterations (rounded after 4th iteration)
| 3 | 6 | 7 | 8 | 8 | 8 | 8 | 8 | 6 | 3 |
| 6 | 10 | 12 | 14 | 15 | 15 | 15 | 13 | 10 | 6 |
| 7 | 12 | 16 | 18 | 19 | 19 | 19 | 17 | 15 | 12 |
| 8 | 14 | 18 | 20 | 21 | 21 | 21 | 23 | 29 | 29 |
| 8 | 15 | 19 | 21 | 22 | 23 | 25 | 36 | 59 | 81 |
| 8 | 15 | 19 | 21 | 23 | 24 | 30 | 49 | 101 | 238 |
| 8 | 15 | 19 | 21 | 22 | 24 | 29 | 42 | 65 | 84 |
| 8 | 13 | 17 | 19 | 20 | 21 | 24 | 30 | 37 | 34 |
| 6 | 10 | 13 | 14 | 15 | 16 | 17 | 19 | 20 | 15 |
| 3 | 5 | 7 | 7 | 8 | 8 | 9 | 9 | 9 | 6 |
Temperature in field 4x2 after 48 iterations:
