Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 23°C. We apply continuously 107°C heat to the field 4x9
What is the temperature (rounded to whole numbers) in the field 1x1 after 81 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 |
| 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 |
| 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 |
| 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 |
| 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 |
| 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 |
| 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 |
| 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 |
| 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 |
| 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 | 23 |
Field after 4 iterations (rounded after 4th iteration)
| 3 | 5 | 7 | 7 | 8 | 8 | 8 | 7 | 5 | 3 |
| 5 | 9 | 11 | 13 | 13 | 14 | 13 | 12 | 9 | 5 |
| 7 | 11 | 14 | 16 | 17 | 17 | 17 | 15 | 12 | 6 |
| 7 | 13 | 16 | 18 | 19 | 20 | 19 | 17 | 13 | 7 |
| 8 | 13 | 17 | 19 | 20 | 21 | 21 | 19 | 14 | 7 |
| 8 | 14 | 17 | 20 | 21 | 22 | 22 | 19 | 15 | 8 |
| 8 | 13 | 17 | 21 | 25 | 25 | 23 | 20 | 15 | 7 |
| 7 | 12 | 18 | 27 | 36 | 33 | 26 | 20 | 14 | 7 |
| 5 | 11 | 21 | 40 | 67 | 45 | 29 | 19 | 11 | 5 |
| 3 | 8 | 20 | 52 | 150 | 55 | 24 | 13 | 7 | 3 |
Temperature in field 1x1 after 81 iterations:
