Level 29
You see a room which is 10x10m wide (0x0 to 9x9).
Every square has the exact temperature of 8°C. We apply continuously 73°C heat to the field 2x3
What is the temperature (rounded to whole numbers) in the field 4x7 after 90 iterations according to the Gauss-Seidel iteration
Field in the beginning
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
| 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 |
Field after 4 iterations (rounded after 4th iteration)
| 1 | 3 | 5 | 5 | 4 | 4 | 3 | 3 | 2 | 1 |
| 4 | 10 | 17 | 15 | 11 | 8 | 6 | 5 | 3 | 2 |
| 9 | 25 | 46 | 31 | 19 | 12 | 9 | 7 | 5 | 2 |
| 15 | 45 | 120 | 52 | 26 | 16 | 11 | 8 | 5 | 3 |
| 12 | 30 | 51 | 36 | 23 | 15 | 11 | 8 | 6 | 3 |
| 8 | 18 | 26 | 23 | 17 | 13 | 10 | 8 | 6 | 3 |
| 5 | 11 | 15 | 15 | 13 | 11 | 9 | 8 | 5 | 3 |
| 4 | 7 | 9 | 10 | 9 | 9 | 8 | 6 | 5 | 2 |
| 2 | 4 | 6 | 6 | 6 | 6 | 6 | 5 | 3 | 2 |
| 1 | 2 | 3 | 3 | 3 | 3 | 3 | 2 | 2 | 1 |
Temperature in field 4x7 after 90 iterations:
