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 75°C heat to the field 7x9
What is the temperature (rounded to whole numbers) in the field 0x8 after 117 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 | 4 | 5 | 5 | 5 | 4 | 3 | 2 |
| 2 | 4 | 5 | 6 | 6 | 6 | 6 | 5 | 4 | 2 |
| 3 | 4 | 6 | 6 | 7 | 7 | 7 | 6 | 5 | 2 |
| 3 | 5 | 6 | 7 | 7 | 7 | 7 | 6 | 5 | 3 |
| 3 | 5 | 6 | 7 | 7 | 7 | 7 | 7 | 5 | 3 |
| 3 | 5 | 6 | 7 | 7 | 7 | 8 | 9 | 8 | 4 |
| 2 | 4 | 5 | 6 | 6 | 8 | 13 | 18 | 14 | 7 |
| 2 | 3 | 4 | 5 | 6 | 11 | 24 | 41 | 24 | 11 |
| 1 | 2 | 2 | 3 | 5 | 12 | 34 | 102 | 34 | 11 |
Temperature in field 0x8 after 117 iterations:
