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 130°C heat to the field 6x2
What is the temperature (rounded to whole numbers) in the field 8x8 after 104 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 | 6 | 15 | 25 | 19 | 12 | 5 |
| 2 | 4 | 5 | 8 | 18 | 44 | 78 | 50 | 27 | 12 |
| 3 | 5 | 7 | 12 | 31 | 81 | 210 | 87 | 39 | 16 |
| 3 | 6 | 8 | 13 | 27 | 54 | 89 | 60 | 33 | 15 |
| 3 | 6 | 8 | 12 | 20 | 33 | 44 | 36 | 24 | 12 |
| 3 | 6 | 8 | 10 | 15 | 20 | 25 | 22 | 16 | 8 |
| 3 | 6 | 8 | 9 | 12 | 14 | 16 | 15 | 11 | 6 |
| 3 | 5 | 7 | 8 | 9 | 10 | 11 | 10 | 8 | 4 |
| 2 | 4 | 5 | 6 | 7 | 7 | 7 | 7 | 5 | 3 |
| 1 | 2 | 3 | 3 | 3 | 4 | 4 | 3 | 2 | 1 |
Temperature in field 8x8 after 104 iterations:
