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 113°C heat to the field 7x7
What is the temperature (rounded to whole numbers) in the field 6x4 after 32 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 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
| 1 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 1 |
| 1 | 2 | 3 | 3 | 3 | 3 | 3 | 3 | 2 | 1 |
| 1 | 2 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 2 |
| 1 | 2 | 3 | 3 | 4 | 4 | 5 | 8 | 7 | 4 |
| 1 | 2 | 3 | 3 | 4 | 6 | 14 | 24 | 18 | 9 |
| 1 | 2 | 3 | 3 | 5 | 14 | 37 | 67 | 42 | 19 |
| 1 | 2 | 3 | 3 | 8 | 24 | 67 | 179 | 71 | 27 |
| 1 | 2 | 2 | 3 | 7 | 18 | 42 | 71 | 45 | 20 |
| 0 | 1 | 1 | 2 | 4 | 9 | 19 | 27 | 20 | 10 |
Temperature in field 6x4 after 32 iterations:
