Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 16°C. We apply continuously 87°C heat to the field 0x7
What is the temperature (rounded to whole numbers) in the field 0x1 after 63 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
| 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 |
Field after 4 iterations (rounded after 4th iteration)
| 2 | 4 | 5 | 5 | 5 | 5 | 5 | 5 | 4 | 2 |
| 4 | 6 | 8 | 9 | 9 | 9 | 9 | 8 | 6 | 3 |
| 5 | 8 | 10 | 11 | 12 | 12 | 12 | 11 | 8 | 4 |
| 5 | 9 | 12 | 13 | 14 | 14 | 13 | 12 | 9 | 5 |
| 8 | 12 | 14 | 15 | 15 | 15 | 14 | 13 | 10 | 5 |
| 16 | 20 | 18 | 17 | 16 | 16 | 15 | 13 | 10 | 5 |
| 42 | 35 | 25 | 20 | 17 | 16 | 15 | 13 | 10 | 5 |
| 121 | 54 | 31 | 21 | 17 | 15 | 14 | 12 | 9 | 4 |
| 42 | 33 | 23 | 17 | 13 | 12 | 10 | 9 | 6 | 3 |
| 14 | 15 | 12 | 9 | 7 | 6 | 6 | 5 | 3 | 2 |
Temperature in field 0x1 after 63 iterations:
