Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 30°C. We apply continuously 73°C heat to the field 2x9
What is the temperature (rounded to whole numbers) in the field 2x1 after 108 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
| 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 |
Field after 4 iterations (rounded after 4th iteration)
| 4 | 7 | 9 | 10 | 10 | 10 | 10 | 9 | 7 | 4 |
| 7 | 12 | 15 | 17 | 17 | 18 | 17 | 16 | 12 | 6 |
| 9 | 15 | 19 | 21 | 22 | 23 | 22 | 20 | 15 | 8 |
| 10 | 17 | 21 | 24 | 25 | 26 | 25 | 23 | 17 | 9 |
| 10 | 17 | 22 | 25 | 27 | 27 | 27 | 24 | 18 | 10 |
| 10 | 18 | 23 | 26 | 28 | 28 | 28 | 25 | 19 | 10 |
| 10 | 19 | 25 | 28 | 29 | 29 | 28 | 25 | 18 | 9 |
| 11 | 22 | 32 | 32 | 29 | 27 | 26 | 22 | 16 | 8 |
| 13 | 30 | 51 | 38 | 28 | 23 | 20 | 17 | 12 | 6 |
| 12 | 37 | 105 | 41 | 21 | 14 | 11 | 9 | 6 | 3 |
Temperature in field 2x1 after 108 iterations:
