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 77°C heat to the field 5x8
What is the temperature (rounded to whole numbers) in the field 5x9 after 43 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 | 8 | 8 | 7 | 5 | 3 |
| 3 | 5 | 6 | 7 | 9 | 11 | 10 | 9 | 6 | 3 |
| 3 | 5 | 6 | 9 | 15 | 21 | 18 | 13 | 8 | 4 |
| 2 | 4 | 7 | 13 | 29 | 50 | 33 | 19 | 11 | 5 |
| 2 | 3 | 7 | 18 | 47 | 123 | 51 | 23 | 11 | 5 |
| 1 | 2 | 5 | 11 | 25 | 43 | 27 | 14 | 7 | 3 |
Temperature in field 5x9 after 43 iterations:
