Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 3°C. We apply continuously 82°C heat to the field 4x2
What is the temperature (rounded to whole numbers) in the field 8x8 after 89 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
Field after 4 iterations (rounded after 4th iteration)
| 0 | 1 | 3 | 8 | 15 | 11 | 7 | 4 | 2 | 1 |
| 1 | 2 | 9 | 25 | 48 | 30 | 16 | 8 | 4 | 2 |
| 1 | 5 | 17 | 48 | 130 | 53 | 24 | 12 | 6 | 2 |
| 1 | 5 | 14 | 31 | 54 | 36 | 20 | 11 | 6 | 3 |
| 1 | 4 | 9 | 17 | 25 | 21 | 14 | 9 | 5 | 2 |
| 1 | 3 | 6 | 10 | 13 | 12 | 9 | 7 | 4 | 2 |
| 1 | 2 | 4 | 6 | 7 | 7 | 6 | 5 | 3 | 2 |
| 1 | 2 | 3 | 4 | 4 | 4 | 4 | 3 | 2 | 1 |
| 1 | 1 | 2 | 2 | 3 | 3 | 3 | 2 | 2 | 1 |
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
Temperature in field 8x8 after 89 iterations:
