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 110°C heat to the field 2x8
What is the temperature (rounded to whole numbers) in the field 6x2 after 57 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 | 11 | 11 | 11 | 11 | 10 | 7 | 4 |
| 4 | 9 | 14 | 14 | 14 | 13 | 12 | 10 | 8 | 4 |
| 7 | 18 | 29 | 26 | 20 | 16 | 13 | 11 | 8 | 4 |
| 14 | 38 | 69 | 47 | 29 | 19 | 14 | 10 | 7 | 3 |
| 21 | 65 | 175 | 73 | 35 | 19 | 12 | 8 | 5 | 3 |
| 13 | 34 | 61 | 38 | 21 | 12 | 7 | 5 | 3 | 1 |
Temperature in field 6x2 after 57 iterations:
