Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 10°C. We apply continuously 72°C heat to the field 4x4
What is the temperature (rounded to whole numbers) in the field 0x1 after 47 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 2 | 3 | 3 | 4 | 4 | 4 | 3 | 2 | 1 |
| 2 | 4 | 5 | 7 | 9 | 9 | 8 | 6 | 4 | 2 |
| 3 | 5 | 8 | 14 | 20 | 18 | 13 | 10 | 6 | 3 |
| 3 | 7 | 14 | 29 | 49 | 34 | 21 | 14 | 8 | 4 |
| 4 | 9 | 20 | 49 | 121 | 54 | 28 | 17 | 10 | 5 |
| 4 | 9 | 18 | 34 | 54 | 38 | 25 | 16 | 10 | 5 |
| 4 | 8 | 13 | 21 | 28 | 25 | 19 | 14 | 9 | 4 |
| 3 | 6 | 10 | 14 | 17 | 16 | 14 | 11 | 7 | 4 |
| 2 | 4 | 6 | 8 | 10 | 10 | 9 | 7 | 5 | 2 |
| 1 | 2 | 3 | 4 | 5 | 5 | 4 | 4 | 2 | 1 |
Temperature in field 0x1 after 47 iterations:
