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 82°C heat to the field 4x8
What is the temperature (rounded to whole numbers) in the field 2x3 after 38 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 | 1 |
| 3 | 5 | 6 | 7 | 7 | 7 | 7 | 6 | 5 | 2 |
| 3 | 6 | 8 | 8 | 9 | 9 | 9 | 8 | 6 | 3 |
| 4 | 7 | 8 | 9 | 10 | 10 | 10 | 9 | 7 | 4 |
| 4 | 7 | 9 | 10 | 11 | 11 | 11 | 10 | 7 | 4 |
| 4 | 7 | 9 | 12 | 14 | 14 | 13 | 11 | 8 | 4 |
| 4 | 7 | 11 | 18 | 25 | 23 | 18 | 13 | 9 | 4 |
| 4 | 8 | 16 | 33 | 56 | 38 | 24 | 15 | 9 | 4 |
| 3 | 8 | 20 | 52 | 133 | 57 | 28 | 15 | 8 | 4 |
| 2 | 5 | 13 | 27 | 47 | 30 | 17 | 9 | 5 | 2 |
Temperature in field 2x3 after 38 iterations:
