Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 15°C. We apply continuously 85°C heat to the field 6x8
What is the temperature (rounded to whole numbers) in the field 3x8 after 101 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
Field after 4 iterations (rounded after 4th iteration)
| 2 | 4 | 4 | 5 | 5 | 5 | 5 | 5 | 3 | 2 |
| 4 | 6 | 7 | 8 | 9 | 9 | 9 | 8 | 6 | 3 |
| 4 | 7 | 9 | 11 | 11 | 11 | 11 | 10 | 8 | 4 |
| 5 | 8 | 11 | 12 | 13 | 13 | 13 | 11 | 9 | 4 |
| 5 | 9 | 11 | 13 | 13 | 14 | 14 | 13 | 9 | 5 |
| 5 | 9 | 11 | 13 | 14 | 15 | 17 | 16 | 11 | 6 |
| 5 | 9 | 11 | 13 | 15 | 22 | 29 | 24 | 16 | 8 |
| 5 | 8 | 10 | 13 | 20 | 37 | 60 | 40 | 23 | 10 |
| 3 | 6 | 8 | 12 | 24 | 56 | 140 | 59 | 27 | 11 |
| 2 | 3 | 4 | 7 | 15 | 30 | 50 | 31 | 16 | 7 |
Temperature in field 3x8 after 101 iterations:
