Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 6°C. We apply continuously 106°C heat to the field 8x7
What is the temperature (rounded to whole numbers) in the field 1x1 after 70 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
| 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 1 | 2 | 2 | 2 | 2 | 2 | 2 | 1 | 1 |
| 1 | 2 | 3 | 3 | 3 | 4 | 3 | 3 | 2 | 1 |
| 2 | 3 | 4 | 4 | 4 | 5 | 4 | 4 | 3 | 2 |
| 2 | 3 | 4 | 5 | 5 | 5 | 5 | 5 | 4 | 2 |
| 2 | 3 | 4 | 5 | 5 | 5 | 5 | 6 | 8 | 5 |
| 2 | 4 | 5 | 5 | 5 | 6 | 8 | 15 | 22 | 14 |
| 2 | 3 | 4 | 5 | 5 | 7 | 16 | 36 | 62 | 33 |
| 2 | 3 | 4 | 5 | 5 | 9 | 24 | 64 | 166 | 58 |
| 1 | 2 | 3 | 3 | 4 | 8 | 18 | 39 | 65 | 34 |
| 1 | 1 | 2 | 2 | 2 | 4 | 9 | 18 | 24 | 14 |
Temperature in field 1x1 after 70 iterations:
