Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 20°C. We apply continuously 126°C heat to the field 8x2
What is the temperature (rounded to whole numbers) in the field 6x6 after 83 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
Field after 4 iterations (rounded after 4th iteration)
| 3 | 5 | 6 | 6 | 7 | 7 | 10 | 17 | 25 | 15 |
| 5 | 8 | 10 | 11 | 12 | 14 | 24 | 47 | 77 | 40 |
| 6 | 10 | 13 | 14 | 15 | 20 | 38 | 84 | 204 | 72 |
| 6 | 11 | 14 | 16 | 17 | 22 | 35 | 59 | 87 | 46 |
| 7 | 12 | 15 | 17 | 18 | 21 | 28 | 38 | 44 | 26 |
| 7 | 12 | 15 | 17 | 19 | 20 | 24 | 27 | 26 | 16 |
| 7 | 12 | 15 | 17 | 18 | 19 | 21 | 21 | 18 | 10 |
| 6 | 10 | 13 | 15 | 16 | 17 | 17 | 16 | 13 | 7 |
| 5 | 8 | 10 | 11 | 12 | 13 | 13 | 11 | 9 | 5 |
| 2 | 4 | 5 | 6 | 6 | 7 | 6 | 6 | 4 | 2 |
Temperature in field 6x6 after 83 iterations:
