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 68°C heat to the field 0x4
What is the temperature (rounded to whole numbers) in the field 1x1 after 45 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)
| 4 | 6 | 7 | 8 | 8 | 9 | 8 | 8 | 6 | 3 |
| 8 | 12 | 14 | 15 | 15 | 15 | 15 | 13 | 10 | 5 |
| 16 | 20 | 21 | 20 | 20 | 20 | 19 | 17 | 13 | 7 |
| 37 | 34 | 28 | 25 | 23 | 22 | 21 | 19 | 14 | 8 |
| 99 | 51 | 34 | 28 | 25 | 24 | 23 | 20 | 15 | 8 |
| 39 | 36 | 31 | 28 | 26 | 25 | 24 | 21 | 16 | 8 |
| 19 | 25 | 26 | 25 | 25 | 24 | 23 | 21 | 15 | 8 |
| 12 | 18 | 21 | 22 | 22 | 22 | 21 | 18 | 13 | 7 |
| 7 | 12 | 15 | 16 | 16 | 16 | 15 | 13 | 10 | 5 |
| 3 | 6 | 7 | 8 | 8 | 8 | 8 | 7 | 5 | 2 |
Temperature in field 1x1 after 45 iterations:
