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 190°C heat to the field 5x6
What is the temperature (rounded to whole numbers) in the field 6x8 after 57 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 | 5 | 5 | 5 | 4 | 2 |
| 4 | 6 | 8 | 9 | 9 | 9 | 9 | 8 | 6 | 3 |
| 5 | 8 | 10 | 11 | 12 | 13 | 13 | 11 | 8 | 4 |
| 5 | 9 | 11 | 13 | 16 | 21 | 21 | 17 | 12 | 6 |
| 5 | 9 | 12 | 18 | 32 | 49 | 41 | 29 | 18 | 9 |
| 5 | 9 | 15 | 32 | 70 | 122 | 82 | 48 | 26 | 12 |
| 5 | 10 | 20 | 48 | 121 | 312 | 133 | 64 | 32 | 14 |
| 5 | 9 | 18 | 39 | 80 | 132 | 89 | 53 | 29 | 13 |
| 4 | 7 | 13 | 25 | 44 | 61 | 50 | 34 | 20 | 9 |
| 2 | 4 | 7 | 12 | 19 | 25 | 23 | 17 | 10 | 5 |
Temperature in field 6x8 after 57 iterations:
