Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 15°C. We apply continuously 76°C heat to the field 5x5
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
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
Field after 4 iterations (rounded after 4th iteration)
| 2 | 4 | 4 | 5 | 5 | 5 | 5 | 5 | 3 | 2 |
| 4 | 6 | 7 | 8 | 9 | 9 | 9 | 8 | 6 | 3 |
| 4 | 7 | 9 | 11 | 12 | 14 | 14 | 12 | 9 | 4 |
| 5 | 8 | 11 | 14 | 20 | 27 | 23 | 18 | 12 | 6 |
| 5 | 9 | 12 | 20 | 36 | 56 | 40 | 26 | 16 | 7 |
| 5 | 9 | 14 | 27 | 56 | 133 | 61 | 33 | 18 | 8 |
| 5 | 9 | 14 | 23 | 40 | 61 | 44 | 29 | 17 | 8 |
| 5 | 8 | 12 | 18 | 26 | 33 | 29 | 21 | 14 | 7 |
| 3 | 6 | 9 | 12 | 16 | 18 | 17 | 14 | 9 | 5 |
| 2 | 3 | 4 | 6 | 7 | 8 | 8 | 7 | 5 | 2 |
Temperature in field 5x2 after 47 iterations:
