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 179°C heat to the field 4x5
What is the temperature (rounded to whole numbers) in the field 4x9 after 54 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 | 2 | 2 | 1 |
| 2 | 3 | 4 | 4 | 5 | 6 | 5 | 5 | 3 | 2 |
| 2 | 4 | 5 | 8 | 13 | 13 | 10 | 8 | 5 | 3 |
| 3 | 4 | 10 | 23 | 39 | 32 | 22 | 14 | 8 | 4 |
| 3 | 7 | 23 | 59 | 108 | 70 | 40 | 22 | 12 | 5 |
| 3 | 12 | 38 | 108 | 287 | 119 | 56 | 28 | 14 | 6 |
| 4 | 11 | 31 | 70 | 119 | 79 | 46 | 26 | 14 | 6 |
| 3 | 9 | 20 | 38 | 55 | 45 | 31 | 20 | 11 | 5 |
| 2 | 6 | 12 | 20 | 26 | 24 | 19 | 13 | 8 | 4 |
| 1 | 3 | 5 | 9 | 11 | 11 | 9 | 6 | 4 | 2 |
Temperature in field 4x9 after 54 iterations:
