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 71°C heat to the field 8x1
What is the temperature (rounded to whole numbers) in the field 5x8 after 123 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 | 4 | 9 | 20 | 36 | 18 |
| 2 | 3 | 4 | 4 | 5 | 8 | 17 | 43 | 111 | 38 |
| 2 | 4 | 5 | 6 | 6 | 9 | 16 | 30 | 46 | 24 |
| 3 | 4 | 6 | 6 | 7 | 9 | 13 | 18 | 22 | 13 |
| 3 | 5 | 6 | 7 | 7 | 8 | 10 | 12 | 12 | 8 |
| 3 | 5 | 6 | 7 | 7 | 8 | 9 | 9 | 8 | 5 |
| 3 | 5 | 6 | 7 | 7 | 8 | 8 | 8 | 6 | 3 |
| 2 | 4 | 5 | 6 | 6 | 7 | 7 | 6 | 5 | 3 |
| 2 | 3 | 4 | 5 | 5 | 5 | 5 | 4 | 3 | 2 |
| 1 | 2 | 2 | 2 | 3 | 3 | 3 | 2 | 2 | 1 |
Temperature in field 5x8 after 123 iterations:
