Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 10°C. We apply continuously 88°C heat to the field 4x9
What is the temperature (rounded to whole numbers) in the field 8x2 after 100 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 2 | 3 | 3 | 3 | 3 | 3 | 3 | 2 | 1 |
| 2 | 4 | 5 | 6 | 6 | 6 | 6 | 5 | 4 | 2 |
| 3 | 5 | 6 | 7 | 7 | 8 | 7 | 7 | 5 | 3 |
| 3 | 6 | 7 | 8 | 8 | 9 | 8 | 8 | 6 | 3 |
| 3 | 6 | 7 | 8 | 9 | 9 | 9 | 8 | 6 | 3 |
| 3 | 6 | 8 | 9 | 9 | 10 | 10 | 8 | 6 | 3 |
| 3 | 6 | 7 | 10 | 12 | 12 | 11 | 9 | 7 | 3 |
| 3 | 5 | 9 | 16 | 23 | 19 | 14 | 10 | 7 | 3 |
| 2 | 5 | 13 | 28 | 50 | 32 | 18 | 11 | 6 | 3 |
| 2 | 5 | 14 | 40 | 121 | 42 | 17 | 8 | 4 | 2 |
Temperature in field 8x2 after 100 iterations:
