Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 15°C. We apply continuously 90°C heat to the field 1x5
What is the temperature (rounded to whole numbers) in the field 9x1 after 66 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
| 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 | 15 |
Field after 4 iterations (rounded after 4th iteration)
| 2 | 4 | 4 | 5 | 5 | 5 | 5 | 5 | 3 | 2 |
| 4 | 6 | 8 | 9 | 9 | 9 | 9 | 8 | 6 | 3 |
| 6 | 11 | 13 | 13 | 12 | 12 | 11 | 10 | 8 | 4 |
| 13 | 24 | 23 | 19 | 16 | 15 | 13 | 12 | 9 | 5 |
| 28 | 58 | 42 | 29 | 21 | 17 | 15 | 13 | 9 | 5 |
| 50 | 147 | 67 | 37 | 24 | 19 | 16 | 13 | 10 | 5 |
| 31 | 63 | 46 | 32 | 23 | 18 | 16 | 13 | 10 | 5 |
| 17 | 30 | 29 | 23 | 19 | 16 | 14 | 12 | 8 | 4 |
| 9 | 15 | 17 | 15 | 13 | 12 | 10 | 9 | 6 | 3 |
| 4 | 7 | 8 | 7 | 7 | 6 | 5 | 4 | 3 | 2 |
Temperature in field 9x1 after 66 iterations:
