Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 4°C. We apply continuously 116°C heat to the field 2x0
What is the temperature (rounded to whole numbers) in the field 9x4 after 46 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
Field after 4 iterations (rounded after 4th iteration)
| 14 | 50 | 156 | 53 | 20 | 8 | 4 | 2 | 1 | 1 |
| 13 | 35 | 63 | 39 | 21 | 11 | 6 | 4 | 2 | 1 |
| 8 | 20 | 29 | 24 | 16 | 10 | 6 | 4 | 3 | 1 |
| 5 | 11 | 15 | 14 | 11 | 8 | 6 | 4 | 3 | 1 |
| 3 | 6 | 8 | 9 | 8 | 6 | 5 | 4 | 3 | 1 |
| 2 | 4 | 5 | 6 | 6 | 5 | 5 | 4 | 3 | 1 |
| 2 | 3 | 4 | 4 | 5 | 4 | 4 | 4 | 3 | 1 |
| 1 | 2 | 3 | 4 | 4 | 4 | 4 | 3 | 2 | 1 |
| 1 | 2 | 2 | 2 | 3 | 3 | 3 | 2 | 2 | 1 |
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
Temperature in field 9x4 after 46 iterations:
