Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 5°C. We apply continuously 74°C heat to the field 3x9
What is the temperature (rounded to whole numbers) in the field 2x8 after 42 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
| 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 1 | 1 |
| 1 | 2 | 2 | 3 | 3 | 3 | 3 | 3 | 2 | 1 |
| 1 | 2 | 3 | 4 | 4 | 4 | 4 | 3 | 3 | 1 |
| 2 | 3 | 4 | 4 | 4 | 4 | 4 | 4 | 3 | 1 |
| 2 | 3 | 4 | 4 | 4 | 5 | 4 | 4 | 3 | 2 |
| 2 | 3 | 4 | 5 | 5 | 5 | 5 | 4 | 3 | 2 |
| 2 | 3 | 5 | 7 | 7 | 6 | 5 | 5 | 3 | 2 |
| 2 | 4 | 10 | 16 | 13 | 9 | 7 | 5 | 3 | 2 |
| 2 | 8 | 21 | 40 | 25 | 13 | 8 | 5 | 3 | 1 |
| 3 | 10 | 33 | 100 | 34 | 13 | 6 | 3 | 2 | 1 |
Temperature in field 2x8 after 42 iterations:
