Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 12°C. We apply continuously 121°C heat to the field 5x7
What is the temperature (rounded to whole numbers) in the field 6x5 after 72 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
Field after 4 iterations (rounded after 4th iteration)
| 2 | 3 | 3 | 4 | 4 | 4 | 4 | 4 | 3 | 1 |
| 3 | 5 | 6 | 7 | 7 | 7 | 7 | 6 | 5 | 2 |
| 3 | 6 | 8 | 8 | 9 | 9 | 9 | 8 | 6 | 3 |
| 4 | 7 | 8 | 9 | 10 | 11 | 11 | 10 | 7 | 4 |
| 4 | 7 | 9 | 10 | 13 | 16 | 15 | 13 | 9 | 5 |
| 4 | 7 | 9 | 13 | 23 | 33 | 28 | 20 | 13 | 6 |
| 4 | 7 | 11 | 22 | 46 | 79 | 53 | 32 | 18 | 8 |
| 4 | 7 | 13 | 31 | 78 | 199 | 85 | 41 | 21 | 9 |
| 3 | 5 | 11 | 24 | 49 | 82 | 55 | 32 | 17 | 7 |
| 1 | 3 | 6 | 12 | 23 | 32 | 25 | 16 | 9 | 4 |
Temperature in field 6x5 after 72 iterations:
