Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 16°C. We apply continuously 82°C heat to the field 5x4
What is the temperature (rounded to whole numbers) in the field 3x2 after 112 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
Field after 4 iterations (rounded after 4th iteration)
| 2 | 4 | 5 | 5 | 5 | 6 | 6 | 5 | 4 | 2 |
| 4 | 6 | 8 | 9 | 11 | 13 | 12 | 10 | 7 | 4 |
| 5 | 8 | 10 | 13 | 20 | 27 | 23 | 17 | 11 | 6 |
| 5 | 9 | 13 | 21 | 37 | 60 | 42 | 27 | 16 | 8 |
| 5 | 10 | 15 | 28 | 60 | 143 | 65 | 35 | 19 | 9 |
| 5 | 10 | 15 | 25 | 43 | 66 | 48 | 31 | 19 | 9 |
| 5 | 10 | 14 | 20 | 29 | 37 | 32 | 24 | 16 | 8 |
| 5 | 9 | 12 | 16 | 20 | 23 | 22 | 18 | 12 | 6 |
| 4 | 6 | 9 | 11 | 13 | 14 | 14 | 12 | 8 | 4 |
| 2 | 3 | 4 | 5 | 6 | 7 | 7 | 6 | 4 | 2 |
Temperature in field 3x2 after 112 iterations:
