Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 10°C. We apply continuously 143°C heat to the field 6x8
What is the temperature (rounded to whole numbers) in the field 0x0 after 36 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
| 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 2 | 3 | 3 | 3 | 3 | 3 | 3 | 2 | 1 |
| 2 | 4 | 5 | 6 | 6 | 6 | 6 | 5 | 4 | 2 |
| 3 | 5 | 6 | 7 | 7 | 8 | 7 | 7 | 5 | 3 |
| 3 | 6 | 7 | 8 | 8 | 9 | 8 | 8 | 6 | 3 |
| 3 | 6 | 7 | 8 | 9 | 9 | 10 | 9 | 7 | 4 |
| 3 | 6 | 8 | 9 | 9 | 12 | 15 | 14 | 10 | 5 |
| 3 | 6 | 7 | 8 | 12 | 23 | 35 | 28 | 18 | 9 |
| 3 | 5 | 7 | 10 | 22 | 50 | 88 | 57 | 30 | 13 |
| 2 | 4 | 6 | 11 | 31 | 85 | 226 | 91 | 39 | 15 |
| 1 | 2 | 3 | 8 | 20 | 45 | 79 | 48 | 24 | 10 |
Temperature in field 0x0 after 36 iterations:
