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 164°C heat to the field 6x9
What is the temperature (rounded to whole numbers) in the field 8x8 after 127 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 | 12 | 12 | 11 | 8 | 4 |
| 5 | 9 | 11 | 13 | 13 | 14 | 13 | 12 | 9 | 5 |
| 5 | 9 | 12 | 13 | 14 | 15 | 14 | 13 | 10 | 5 |
| 5 | 9 | 12 | 14 | 15 | 15 | 15 | 14 | 11 | 6 |
| 5 | 9 | 12 | 13 | 14 | 17 | 21 | 19 | 14 | 7 |
| 5 | 8 | 11 | 12 | 17 | 28 | 40 | 32 | 20 | 10 |
| 4 | 6 | 8 | 12 | 24 | 52 | 91 | 56 | 29 | 12 |
| 2 | 3 | 5 | 10 | 26 | 75 | 224 | 77 | 29 | 10 |
Temperature in field 8x8 after 127 iterations:
