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 87°C heat to the field 3x2
What is the temperature (rounded to whole numbers) in the field 9x3 after 84 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 | 4 | 10 | 17 | 14 | 9 | 6 | 4 | 2 | 1 |
| 3 | 12 | 29 | 53 | 35 | 20 | 12 | 7 | 4 | 2 |
| 6 | 20 | 54 | 142 | 60 | 29 | 16 | 10 | 6 | 3 |
| 6 | 17 | 36 | 61 | 42 | 26 | 16 | 11 | 7 | 3 |
| 5 | 12 | 22 | 30 | 26 | 19 | 14 | 10 | 7 | 3 |
| 4 | 8 | 14 | 17 | 17 | 14 | 12 | 9 | 6 | 3 |
| 3 | 6 | 9 | 11 | 12 | 11 | 10 | 8 | 6 | 3 |
| 3 | 5 | 7 | 8 | 9 | 8 | 8 | 7 | 5 | 2 |
| 2 | 3 | 5 | 5 | 6 | 6 | 5 | 5 | 3 | 2 |
| 1 | 2 | 2 | 3 | 3 | 3 | 3 | 2 | 2 | 1 |
Temperature in field 9x3 after 84 iterations:
