Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 2°C. We apply continuously 103°C heat to the field 4x6
What is the temperature (rounded to whole numbers) in the field 0x1 after 78 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
Field after 4 iterations (rounded after 4th iteration)
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 |
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
| 1 | 1 | 1 | 1 | 2 | 2 | 2 | 2 | 1 | 1 |
| 1 | 1 | 1 | 3 | 6 | 6 | 4 | 3 | 2 | 1 |
| 1 | 1 | 4 | 12 | 20 | 16 | 10 | 6 | 3 | 1 |
| 1 | 3 | 11 | 32 | 60 | 38 | 20 | 10 | 5 | 2 |
| 1 | 5 | 20 | 60 | 163 | 66 | 30 | 14 | 7 | 3 |
| 1 | 5 | 16 | 38 | 66 | 43 | 24 | 13 | 6 | 3 |
| 1 | 3 | 9 | 20 | 29 | 23 | 15 | 9 | 5 | 2 |
| 0 | 2 | 4 | 8 | 11 | 10 | 7 | 5 | 3 | 1 |
Temperature in field 0x1 after 78 iterations:
