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 154°C heat to the field 8x4
What is the temperature (rounded to whole numbers) in the field 0x0 after 106 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)
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 2 | 1 |
| 1 | 2 | 2 | 2 | 2 | 2 | 2 | 4 | 8 | 6 |
| 1 | 2 | 3 | 3 | 3 | 3 | 7 | 17 | 29 | 19 |
| 1 | 2 | 3 | 3 | 3 | 6 | 18 | 48 | 87 | 46 |
| 1 | 2 | 3 | 3 | 4 | 10 | 31 | 89 | 239 | 83 |
| 1 | 2 | 3 | 3 | 4 | 10 | 25 | 57 | 95 | 50 |
| 1 | 2 | 3 | 3 | 4 | 7 | 16 | 30 | 41 | 25 |
| 1 | 2 | 3 | 3 | 4 | 5 | 10 | 16 | 19 | 12 |
| 1 | 2 | 2 | 2 | 3 | 3 | 5 | 8 | 9 | 6 |
| 0 | 1 | 1 | 1 | 1 | 2 | 2 | 3 | 3 | 2 |
Temperature in field 0x0 after 106 iterations:
