Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 12°C. We apply continuously 64°C heat to the field 8x4
What is the temperature (rounded to whole numbers) in the field 7x3 after 36 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
| 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 |
Field after 4 iterations (rounded after 4th iteration)
| 2 | 3 | 3 | 4 | 4 | 4 | 4 | 4 | 3 | 2 |
| 3 | 5 | 6 | 7 | 7 | 7 | 7 | 7 | 7 | 5 |
| 3 | 6 | 8 | 8 | 9 | 9 | 10 | 14 | 17 | 11 |
| 4 | 7 | 8 | 9 | 10 | 11 | 16 | 28 | 42 | 22 |
| 4 | 7 | 9 | 10 | 11 | 14 | 22 | 45 | 106 | 38 |
| 4 | 7 | 9 | 10 | 11 | 14 | 20 | 32 | 46 | 24 |
| 4 | 7 | 9 | 10 | 11 | 13 | 16 | 21 | 23 | 14 |
| 4 | 6 | 8 | 9 | 10 | 11 | 12 | 14 | 13 | 8 |
| 3 | 5 | 6 | 7 | 7 | 8 | 9 | 9 | 7 | 4 |
| 1 | 2 | 3 | 4 | 4 | 4 | 4 | 4 | 3 | 2 |
Temperature in field 7x3 after 36 iterations:
