Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 3°C. We apply continuously 167°C heat to the field 8x6
What is the temperature (rounded to whole numbers) in the field 1x1 after 61 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
| 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 |
Field after 4 iterations (rounded after 4th iteration)
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
| 1 | 1 | 1 | 2 | 2 | 2 | 2 | 2 | 1 | 1 |
| 1 | 1 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 1 | 2 | 2 | 2 | 3 | 3 | 3 | 5 | 8 | 6 |
| 1 | 2 | 2 | 3 | 3 | 3 | 7 | 18 | 31 | 20 |
| 1 | 2 | 2 | 3 | 3 | 5 | 19 | 51 | 94 | 49 |
| 1 | 2 | 2 | 3 | 3 | 9 | 33 | 96 | 259 | 89 |
| 1 | 2 | 2 | 2 | 3 | 9 | 26 | 60 | 101 | 54 |
| 1 | 1 | 2 | 2 | 2 | 6 | 15 | 31 | 42 | 26 |
| 0 | 1 | 1 | 1 | 1 | 3 | 7 | 13 | 16 | 11 |
Temperature in field 1x1 after 61 iterations:
