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 172°C heat to the field 6x9
What is the temperature (rounded to whole numbers) in the field 4x1 after 75 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 | 0 |
| 0 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0 |
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
| 0 | 1 | 1 | 1 | 1 | 1 | 2 | 2 | 1 | 1 |
| 0 | 1 | 1 | 1 | 1 | 4 | 8 | 7 | 5 | 2 |
| 0 | 1 | 1 | 1 | 5 | 16 | 30 | 23 | 13 | 6 |
| 0 | 0 | 1 | 3 | 15 | 44 | 86 | 50 | 24 | 10 |
| 0 | 0 | 1 | 6 | 22 | 73 | 230 | 76 | 27 | 9 |
Temperature in field 4x1 after 75 iterations:
