Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 2°C. We apply continuously 68°C heat to the field 0x6
What is the temperature (rounded to whole numbers) in the field 4x0 after 87 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
| 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 |
Field after 4 iterations (rounded after 4th iteration)
| 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 |
| 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 |
| 1 | 1 | 2 | 2 | 2 | 2 | 2 | 1 | 1 | 1 |
| 3 | 3 | 3 | 2 | 2 | 2 | 2 | 2 | 1 | 1 |
| 9 | 9 | 6 | 4 | 3 | 2 | 2 | 2 | 1 | 1 |
| 29 | 21 | 12 | 7 | 4 | 3 | 2 | 2 | 1 | 1 |
| 91 | 37 | 17 | 9 | 5 | 3 | 2 | 2 | 1 | 1 |
| 31 | 23 | 13 | 8 | 5 | 3 | 2 | 2 | 1 | 1 |
| 11 | 11 | 8 | 5 | 3 | 2 | 2 | 1 | 1 | 0 |
| 4 | 5 | 4 | 3 | 2 | 1 | 1 | 1 | 0 | 0 |
Temperature in field 4x0 after 87 iterations:
