Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 22°C. We apply continuously 105°C heat to the field 4x4
What is the temperature (rounded to whole numbers) in the field 7x2 after 81 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
| 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 |
Field after 4 iterations (rounded after 4th iteration)
| 3 | 5 | 6 | 7 | 8 | 8 | 8 | 7 | 5 | 3 |
| 5 | 9 | 11 | 14 | 17 | 17 | 15 | 13 | 9 | 5 |
| 6 | 11 | 16 | 26 | 35 | 31 | 25 | 19 | 13 | 7 |
| 7 | 14 | 26 | 48 | 78 | 56 | 38 | 26 | 17 | 8 |
| 8 | 17 | 35 | 78 | 184 | 86 | 48 | 30 | 19 | 9 |
| 8 | 17 | 31 | 56 | 86 | 63 | 43 | 30 | 19 | 9 |
| 8 | 15 | 25 | 38 | 48 | 43 | 34 | 26 | 18 | 9 |
| 7 | 13 | 19 | 26 | 30 | 30 | 26 | 21 | 14 | 7 |
| 5 | 9 | 13 | 17 | 19 | 19 | 18 | 14 | 10 | 5 |
| 3 | 5 | 7 | 8 | 9 | 9 | 9 | 7 | 5 | 3 |
Temperature in field 7x2 after 81 iterations:
