Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 9°C. We apply continuously 161°C heat to the field 9x6
What is the temperature (rounded to whole numbers) in the field 6x6 after 85 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
| 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 | 9 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 2 | 3 | 3 | 3 | 3 | 3 | 3 | 2 | 1 |
| 2 | 4 | 4 | 5 | 5 | 5 | 5 | 5 | 4 | 2 |
| 3 | 4 | 6 | 6 | 7 | 7 | 7 | 6 | 5 | 3 |
| 3 | 5 | 6 | 7 | 8 | 8 | 8 | 7 | 8 | 8 |
| 3 | 5 | 7 | 8 | 8 | 8 | 8 | 11 | 19 | 23 |
| 3 | 5 | 7 | 8 | 8 | 8 | 11 | 22 | 47 | 71 |
| 3 | 5 | 7 | 8 | 8 | 9 | 14 | 34 | 85 | 218 |
| 3 | 5 | 6 | 7 | 7 | 8 | 13 | 27 | 51 | 74 |
| 2 | 4 | 5 | 5 | 5 | 6 | 9 | 16 | 26 | 27 |
| 1 | 2 | 2 | 3 | 3 | 3 | 5 | 8 | 10 | 9 |
Temperature in field 6x6 after 85 iterations:
