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 123°C heat to the field 6x7
What is the temperature (rounded to whole numbers) in the field 9x7 after 106 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 | 11 | 10 | 7 | 4 |
| 4 | 7 | 9 | 10 | 11 | 13 | 16 | 14 | 10 | 5 |
| 4 | 7 | 9 | 10 | 14 | 23 | 33 | 27 | 18 | 9 |
| 4 | 7 | 9 | 12 | 23 | 47 | 80 | 53 | 29 | 13 |
| 4 | 6 | 9 | 14 | 32 | 79 | 202 | 85 | 39 | 16 |
| 3 | 5 | 7 | 11 | 24 | 50 | 83 | 54 | 30 | 13 |
| 1 | 2 | 4 | 6 | 13 | 23 | 32 | 25 | 15 | 7 |
Temperature in field 9x7 after 106 iterations:
