Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 2°C. We apply continuously 78°C heat to the field 3x2
What is the temperature (rounded to whole numbers) in the field 8x6 after 127 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
Field after 4 iterations (rounded after 4th iteration)
| 0 | 2 | 8 | 14 | 11 | 6 | 3 | 2 | 1 | 0 |
| 2 | 8 | 24 | 45 | 28 | 15 | 8 | 4 | 2 | 1 |
| 4 | 15 | 45 | 123 | 50 | 22 | 11 | 5 | 3 | 1 |
| 3 | 12 | 29 | 50 | 33 | 19 | 10 | 6 | 3 | 1 |
| 2 | 8 | 16 | 23 | 19 | 13 | 8 | 5 | 3 | 1 |
| 2 | 4 | 8 | 11 | 10 | 8 | 6 | 4 | 2 | 1 |
| 1 | 3 | 4 | 6 | 6 | 5 | 4 | 3 | 2 | 1 |
| 1 | 2 | 3 | 3 | 3 | 3 | 3 | 2 | 2 | 1 |
| 1 | 1 | 2 | 2 | 2 | 2 | 2 | 1 | 1 | 1 |
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 |
Temperature in field 8x6 after 127 iterations:
