Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 8°C. We apply continuously 69°C heat to the field 2x5
What is the temperature (rounded to whole numbers) in the field 3x2 after 40 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 2 | 2 | 3 | 3 | 3 | 3 | 2 | 2 | 1 |
| 2 | 3 | 4 | 5 | 5 | 5 | 5 | 4 | 3 | 2 |
| 2 | 5 | 8 | 8 | 8 | 7 | 6 | 6 | 4 | 2 |
| 4 | 11 | 18 | 16 | 12 | 10 | 8 | 7 | 5 | 2 |
| 9 | 25 | 45 | 31 | 20 | 13 | 10 | 8 | 5 | 3 |
| 14 | 43 | 114 | 50 | 26 | 16 | 11 | 8 | 6 | 3 |
| 11 | 29 | 49 | 34 | 22 | 15 | 11 | 8 | 6 | 3 |
| 7 | 16 | 24 | 21 | 16 | 12 | 9 | 7 | 5 | 2 |
| 4 | 9 | 12 | 12 | 10 | 8 | 7 | 5 | 4 | 2 |
| 2 | 4 | 5 | 5 | 5 | 4 | 3 | 3 | 2 | 1 |
Temperature in field 3x2 after 40 iterations:
