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 92°C heat to the field 5x8
What is the temperature (rounded to whole numbers) in the field 5x1 after 51 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)
| 3 | 4 | 5 | 6 | 6 | 6 | 6 | 5 | 4 | 2 |
| 4 | 7 | 9 | 10 | 10 | 11 | 10 | 9 | 7 | 4 |
| 5 | 9 | 11 | 13 | 13 | 14 | 13 | 12 | 9 | 5 |
| 6 | 10 | 13 | 14 | 15 | 15 | 15 | 14 | 10 | 5 |
| 6 | 10 | 13 | 15 | 16 | 17 | 17 | 15 | 11 | 6 |
| 6 | 11 | 14 | 15 | 18 | 21 | 20 | 17 | 12 | 6 |
| 6 | 10 | 13 | 17 | 25 | 33 | 29 | 22 | 15 | 7 |
| 5 | 9 | 13 | 22 | 41 | 66 | 47 | 29 | 17 | 8 |
| 4 | 7 | 13 | 26 | 61 | 153 | 66 | 32 | 17 | 7 |
| 2 | 4 | 8 | 16 | 32 | 55 | 35 | 19 | 10 | 4 |
Temperature in field 5x1 after 51 iterations:
