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 180°C heat to the field 0x7
What is the temperature (rounded to whole numbers) in the field 7x4 after 122 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 | 7 | 6 | 5 | 2 |
| 5 | 8 | 10 | 11 | 12 | 12 | 12 | 10 | 8 | 4 |
| 6 | 10 | 13 | 14 | 15 | 15 | 15 | 13 | 10 | 5 |
| 7 | 12 | 15 | 16 | 17 | 17 | 17 | 15 | 11 | 6 |
| 12 | 18 | 19 | 19 | 19 | 19 | 18 | 16 | 12 | 6 |
| 30 | 33 | 28 | 24 | 21 | 20 | 19 | 17 | 13 | 7 |
| 83 | 64 | 43 | 30 | 24 | 21 | 19 | 17 | 12 | 6 |
| 246 | 106 | 55 | 34 | 24 | 20 | 18 | 15 | 11 | 5 |
| 83 | 64 | 41 | 27 | 20 | 16 | 14 | 11 | 8 | 4 |
| 27 | 28 | 21 | 15 | 11 | 9 | 7 | 6 | 4 | 2 |
Temperature in field 7x4 after 122 iterations:
