Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 17°C. We apply continuously 82°C heat to the field 6x1
What is the temperature (rounded to whole numbers) in the field 4x1 after 106 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 |
| 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 |
| 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 |
| 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 |
| 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 |
| 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 |
| 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 |
| 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 |
| 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 |
| 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 | 17 |
Field after 4 iterations (rounded after 4th iteration)
| 2 | 4 | 5 | 7 | 13 | 27 | 46 | 29 | 15 | 6 |
| 4 | 7 | 9 | 13 | 24 | 55 | 136 | 58 | 27 | 11 |
| 5 | 8 | 11 | 15 | 24 | 41 | 63 | 43 | 25 | 12 |
| 5 | 9 | 12 | 15 | 21 | 29 | 36 | 30 | 21 | 10 |
| 6 | 10 | 13 | 15 | 19 | 22 | 25 | 22 | 16 | 9 |
| 6 | 10 | 13 | 15 | 17 | 19 | 20 | 18 | 14 | 7 |
| 6 | 10 | 13 | 15 | 16 | 17 | 17 | 16 | 12 | 6 |
| 5 | 9 | 11 | 13 | 14 | 15 | 15 | 13 | 10 | 5 |
| 4 | 7 | 9 | 10 | 10 | 11 | 11 | 9 | 7 | 3 |
| 2 | 3 | 4 | 5 | 5 | 6 | 5 | 5 | 3 | 2 |
Temperature in field 4x1 after 106 iterations:
