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 127°C heat to the field 6x4
What is the temperature (rounded to whole numbers) in the field 5x3 after 91 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 | 2 | 2 | 3 | 3 | 3 | 3 | 3 | 2 | 1 |
| 2 | 3 | 4 | 4 | 5 | 7 | 10 | 9 | 6 | 3 |
| 2 | 4 | 5 | 6 | 9 | 18 | 29 | 23 | 14 | 7 |
| 3 | 4 | 6 | 8 | 19 | 44 | 78 | 51 | 27 | 12 |
| 3 | 5 | 6 | 12 | 30 | 79 | 206 | 86 | 39 | 16 |
| 3 | 5 | 7 | 12 | 25 | 52 | 87 | 58 | 32 | 14 |
| 3 | 5 | 6 | 10 | 18 | 30 | 42 | 34 | 22 | 11 |
| 2 | 4 | 6 | 8 | 12 | 17 | 22 | 20 | 14 | 7 |
| 2 | 3 | 4 | 5 | 7 | 10 | 12 | 11 | 8 | 4 |
| 1 | 2 | 2 | 3 | 4 | 5 | 5 | 5 | 4 | 2 |
Temperature in field 5x3 after 91 iterations:
