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 106°C heat to the field 6x4
What is the temperature (rounded to whole numbers) in the field 8x5 after 84 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 | 6 | 5 | 4 | 2 |
| 4 | 6 | 8 | 9 | 9 | 11 | 14 | 12 | 9 | 5 |
| 5 | 8 | 10 | 11 | 14 | 22 | 31 | 26 | 17 | 8 |
| 5 | 9 | 11 | 14 | 24 | 45 | 73 | 49 | 28 | 13 |
| 5 | 9 | 12 | 18 | 33 | 74 | 180 | 79 | 38 | 16 |
| 5 | 9 | 13 | 18 | 29 | 52 | 81 | 56 | 33 | 15 |
| 5 | 9 | 12 | 16 | 23 | 34 | 43 | 36 | 24 | 12 |
| 5 | 8 | 11 | 14 | 17 | 22 | 26 | 23 | 16 | 8 |
| 4 | 6 | 8 | 10 | 12 | 14 | 15 | 14 | 10 | 5 |
| 2 | 3 | 4 | 5 | 6 | 7 | 7 | 7 | 5 | 3 |
Temperature in field 8x5 after 84 iterations:
