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 87°C heat to the field 1x4
What is the temperature (rounded to whole numbers) in the field 9x2 after 142 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 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 |
| 2 | 4 | 4 | 3 | 2 | 2 | 1 | 1 | 1 | 0 |
| 8 | 16 | 13 | 9 | 5 | 3 | 2 | 2 | 1 | 1 |
| 23 | 49 | 32 | 17 | 9 | 5 | 3 | 2 | 1 | 1 |
| 44 | 135 | 55 | 25 | 12 | 6 | 4 | 2 | 2 | 1 |
| 26 | 53 | 36 | 20 | 11 | 6 | 4 | 3 | 2 | 1 |
| 13 | 23 | 20 | 13 | 8 | 5 | 4 | 2 | 2 | 1 |
| 6 | 10 | 10 | 8 | 6 | 4 | 3 | 2 | 1 | 1 |
| 3 | 5 | 5 | 5 | 4 | 3 | 2 | 1 | 1 | 0 |
| 1 | 2 | 2 | 2 | 2 | 1 | 1 | 1 | 1 | 0 |
Temperature in field 9x2 after 142 iterations:
