Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 11°C. We apply continuously 81°C heat to the field 4x5
What is the temperature (rounded to whole numbers) in the field 5x2 after 47 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
| 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
| 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
| 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
| 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
| 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
| 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
| 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
| 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
| 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 | 11 |
Field after 4 iterations (rounded after 4th iteration)
| 2 | 3 | 3 | 4 | 4 | 4 | 4 | 3 | 2 | 1 |
| 3 | 4 | 5 | 6 | 7 | 7 | 7 | 6 | 4 | 2 |
| 3 | 5 | 7 | 9 | 11 | 11 | 10 | 8 | 6 | 3 |
| 4 | 6 | 10 | 16 | 24 | 21 | 16 | 12 | 8 | 4 |
| 4 | 8 | 16 | 33 | 55 | 39 | 25 | 16 | 10 | 5 |
| 4 | 10 | 23 | 55 | 137 | 61 | 32 | 19 | 11 | 5 |
| 4 | 9 | 20 | 38 | 60 | 43 | 28 | 18 | 11 | 5 |
| 4 | 8 | 14 | 23 | 31 | 27 | 20 | 14 | 9 | 4 |
| 3 | 5 | 9 | 13 | 16 | 16 | 13 | 10 | 6 | 3 |
| 1 | 3 | 4 | 6 | 7 | 7 | 6 | 5 | 3 | 2 |
Temperature in field 5x2 after 47 iterations:
