Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 13°C. We apply continuously 109°C heat to the field 3x3
What is the temperature (rounded to whole numbers) in the field 5x7 after 44 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
| 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 | 13 |
Field after 4 iterations (rounded after 4th iteration)
| 2 | 3 | 5 | 8 | 8 | 7 | 6 | 5 | 3 | 2 |
| 3 | 8 | 17 | 27 | 23 | 17 | 12 | 9 | 6 | 3 |
| 5 | 17 | 40 | 71 | 48 | 30 | 19 | 13 | 8 | 4 |
| 8 | 27 | 71 | 181 | 79 | 41 | 24 | 16 | 10 | 5 |
| 8 | 23 | 48 | 79 | 55 | 36 | 24 | 16 | 11 | 5 |
| 7 | 17 | 30 | 41 | 36 | 27 | 21 | 15 | 10 | 5 |
| 6 | 12 | 19 | 24 | 24 | 21 | 17 | 14 | 9 | 5 |
| 5 | 9 | 13 | 16 | 16 | 15 | 14 | 11 | 8 | 4 |
| 3 | 6 | 8 | 10 | 11 | 10 | 9 | 8 | 6 | 3 |
| 2 | 3 | 4 | 5 | 5 | 5 | 5 | 4 | 3 | 1 |
Temperature in field 5x7 after 44 iterations:
