Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 4°C. We apply continuously 86°C heat to the field 4x2
What is the temperature (rounded to whole numbers) in the field 9x3 after 40 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
| 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 1 | 3 | 9 | 16 | 12 | 8 | 4 | 2 | 1 |
| 1 | 3 | 10 | 27 | 50 | 32 | 18 | 9 | 5 | 2 |
| 1 | 5 | 18 | 51 | 137 | 57 | 26 | 13 | 6 | 3 |
| 2 | 5 | 15 | 33 | 57 | 38 | 22 | 12 | 7 | 3 |
| 2 | 4 | 10 | 19 | 27 | 22 | 16 | 10 | 6 | 3 |
| 2 | 4 | 7 | 11 | 14 | 13 | 10 | 8 | 5 | 2 |
| 1 | 3 | 5 | 7 | 8 | 8 | 7 | 6 | 4 | 2 |
| 1 | 2 | 3 | 4 | 5 | 5 | 5 | 4 | 3 | 1 |
| 1 | 2 | 2 | 3 | 3 | 3 | 3 | 3 | 2 | 1 |
| 0 | 1 | 1 | 1 | 2 | 2 | 2 | 1 | 1 | 0 |
Temperature in field 9x3 after 40 iterations:
