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 172°C heat to the field 0x1
What is the temperature (rounded to whole numbers) in the field 5x4 after 80 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)
| 67 | 44 | 23 | 12 | 7 | 4 | 3 | 3 | 2 | 1 |
| 229 | 91 | 41 | 21 | 12 | 8 | 6 | 5 | 3 | 2 |
| 78 | 57 | 35 | 21 | 13 | 9 | 7 | 6 | 4 | 2 |
| 30 | 31 | 24 | 17 | 12 | 10 | 8 | 7 | 5 | 3 |
| 13 | 17 | 16 | 13 | 11 | 9 | 8 | 7 | 5 | 3 |
| 7 | 10 | 11 | 11 | 10 | 9 | 8 | 7 | 5 | 3 |
| 4 | 7 | 8 | 9 | 8 | 8 | 8 | 7 | 5 | 3 |
| 3 | 5 | 6 | 7 | 7 | 7 | 7 | 6 | 4 | 2 |
| 2 | 4 | 4 | 5 | 5 | 5 | 5 | 4 | 3 | 2 |
| 1 | 2 | 2 | 3 | 3 | 3 | 3 | 2 | 2 | 1 |
Temperature in field 5x4 after 80 iterations:
