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 125°C heat to the field 8x7
What is the temperature (rounded to whole numbers) in the field 1x0 after 45 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 | 12 | 7 |
| 7 | 12 | 15 | 17 | 18 | 18 | 18 | 18 | 17 | 10 |
| 7 | 12 | 15 | 17 | 18 | 19 | 21 | 29 | 35 | 21 |
| 7 | 12 | 15 | 17 | 18 | 20 | 30 | 53 | 81 | 43 |
| 6 | 10 | 13 | 15 | 17 | 22 | 39 | 84 | 203 | 71 |
| 5 | 8 | 10 | 11 | 13 | 17 | 29 | 53 | 81 | 43 |
| 2 | 4 | 5 | 6 | 7 | 9 | 15 | 24 | 31 | 18 |
Temperature in field 1x0 after 45 iterations:
