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 134°C heat to the field 5x7
What is the temperature (rounded to whole numbers) in the field 6x8 after 64 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 | 18 | 18 | 16 | 12 | 6 |
| 7 | 12 | 15 | 17 | 20 | 24 | 23 | 19 | 14 | 7 |
| 7 | 12 | 15 | 20 | 31 | 43 | 37 | 28 | 18 | 9 |
| 7 | 12 | 17 | 30 | 57 | 94 | 65 | 40 | 24 | 11 |
| 6 | 11 | 19 | 39 | 92 | 226 | 100 | 50 | 26 | 12 |
| 5 | 9 | 15 | 30 | 59 | 95 | 65 | 38 | 21 | 9 |
| 2 | 5 | 8 | 16 | 27 | 38 | 30 | 20 | 12 | 5 |
Temperature in field 6x8 after 64 iterations:
