Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 20°C. We apply continuously 83°C heat to the field 8x8
What is the temperature (rounded to whole numbers) in the field 3x1 after 149 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
| 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 |
Field after 4 iterations (rounded after 4th iteration)
| 3 | 5 | 6 | 6 | 7 | 7 | 7 | 6 | 5 | 2 |
| 5 | 8 | 10 | 11 | 12 | 12 | 12 | 10 | 8 | 4 |
| 6 | 10 | 13 | 14 | 15 | 15 | 15 | 13 | 10 | 5 |
| 6 | 11 | 14 | 16 | 17 | 17 | 17 | 15 | 11 | 6 |
| 7 | 12 | 15 | 17 | 18 | 18 | 18 | 16 | 13 | 7 |
| 7 | 12 | 15 | 17 | 18 | 19 | 18 | 18 | 16 | 9 |
| 7 | 12 | 15 | 17 | 18 | 18 | 20 | 24 | 27 | 16 |
| 6 | 10 | 13 | 15 | 16 | 18 | 24 | 38 | 56 | 29 |
| 5 | 8 | 10 | 11 | 13 | 16 | 27 | 56 | 133 | 46 |
| 2 | 4 | 5 | 6 | 7 | 9 | 16 | 29 | 46 | 23 |
Temperature in field 3x1 after 149 iterations:
