Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 16°C. We apply continuously 144°C heat to the field 4x4
What is the temperature (rounded to whole numbers) in the field 3x2 after 128 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
Field after 4 iterations (rounded after 4th iteration)
| 2 | 4 | 5 | 5 | 6 | 6 | 6 | 5 | 4 | 2 |
| 4 | 6 | 8 | 11 | 15 | 15 | 13 | 10 | 7 | 4 |
| 5 | 8 | 13 | 25 | 38 | 32 | 24 | 17 | 11 | 5 |
| 5 | 11 | 25 | 55 | 94 | 64 | 40 | 24 | 15 | 7 |
| 6 | 15 | 38 | 94 | 239 | 104 | 53 | 30 | 17 | 8 |
| 6 | 15 | 32 | 64 | 104 | 73 | 46 | 29 | 17 | 8 |
| 6 | 13 | 24 | 40 | 53 | 46 | 34 | 24 | 16 | 8 |
| 5 | 10 | 17 | 24 | 30 | 29 | 24 | 19 | 12 | 6 |
| 4 | 7 | 11 | 15 | 17 | 17 | 16 | 12 | 8 | 4 |
| 2 | 4 | 5 | 7 | 8 | 8 | 8 | 6 | 4 | 2 |
Temperature in field 3x2 after 128 iterations:
