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 83°C heat to the field 2x2
What is the temperature (rounded to whole numbers) in the field 5x1 after 64 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)
| 3 | 9 | 15 | 12 | 8 | 5 | 3 | 2 | 1 | 1 |
| 9 | 26 | 49 | 32 | 18 | 10 | 6 | 4 | 2 | 1 |
| 15 | 49 | 133 | 55 | 26 | 14 | 8 | 5 | 3 | 2 |
| 12 | 32 | 55 | 37 | 22 | 13 | 9 | 6 | 4 | 2 |
| 8 | 18 | 26 | 22 | 16 | 11 | 8 | 6 | 4 | 2 |
| 5 | 10 | 14 | 13 | 11 | 9 | 7 | 5 | 4 | 2 |
| 3 | 6 | 8 | 9 | 8 | 7 | 6 | 5 | 3 | 2 |
| 2 | 4 | 5 | 6 | 6 | 5 | 5 | 4 | 3 | 1 |
| 1 | 2 | 3 | 4 | 4 | 4 | 3 | 3 | 2 | 1 |
| 1 | 1 | 2 | 2 | 2 | 2 | 2 | 1 | 1 | 1 |
Temperature in field 5x1 after 64 iterations:
