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 200°C heat to the field 6x6
What is the temperature (rounded to whole numbers) in the field 3x8 after 47 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 | 2 | 2 | 1 | 1 |
| 0 | 1 | 1 | 1 | 1 | 4 | 9 | 8 | 6 | 3 |
| 0 | 1 | 1 | 1 | 6 | 20 | 37 | 29 | 17 | 8 |
| 0 | 1 | 1 | 4 | 20 | 59 | 114 | 71 | 36 | 15 |
| 0 | 1 | 2 | 9 | 37 | 114 | 314 | 125 | 54 | 21 |
| 0 | 1 | 2 | 8 | 29 | 71 | 125 | 81 | 43 | 19 |
| 0 | 0 | 1 | 6 | 17 | 36 | 54 | 43 | 27 | 13 |
| 0 | 0 | 1 | 3 | 8 | 15 | 21 | 19 | 13 | 6 |
Temperature in field 3x8 after 47 iterations:
