Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 1°C. We apply continuously 142°C heat to the field 9x4
What is the temperature (rounded to whole numbers) in the field 9x2 after 116 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
| 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
Field after 4 iterations (rounded after 4th iteration)
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 3 | 5 |
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 4 | 13 | 18 |
| 0 | 1 | 1 | 1 | 1 | 1 | 3 | 14 | 37 | 60 |
| 0 | 1 | 1 | 1 | 1 | 1 | 6 | 25 | 71 | 190 |
| 0 | 1 | 1 | 1 | 1 | 2 | 6 | 19 | 42 | 63 |
| 0 | 1 | 1 | 1 | 1 | 1 | 4 | 11 | 20 | 23 |
| 0 | 1 | 1 | 1 | 1 | 1 | 3 | 6 | 9 | 9 |
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 3 | 4 | 3 |
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 2 | 1 |
Temperature in field 9x2 after 116 iterations:
